2022 9 3 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112114115114113113114114111109110113114114114111110109109108106102100 99 98 97 96 95 94 93 92 91 94 97100102104102102101101102100100101101103105106105105108110111111112111111110110110110108109109107108109109999999999999999999999999999999999999999999999999999999999999999999999125124124124124124124124124123123999999999123123123124124124125124123122121999999999120119119119119119118118118117116116115114114113112112111110110109108108107106106105104104103102101101101101101999101101101101101101101101101101101101101101101101101102102102102102103103104104105105106107107107108108108108108108108108107107107107107107107107107107107107107107106106106106106105105105105105105105105105104104105105105105105105105105105105105106106106106106106106106106106105105105105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105104114112115117116114112111112109106106109111111112110108106105106105100 97 93 92 93 93 92 91 89 88 89 92 98101102101102103103103103104104104107105105106106107110112111112112108107108106107108106107107108109109999999999999999999999999999999999999999999999999999999999999999999123124125125125125125124125125124124123999999123123123123124124124124123123122999999120120120119119119119118118117117116116115114114113112112111111110109109108107107106106105104104103103102102102102102102102102102102102102102102102102102102102102102102102102102102102103103104104105105106106107107108108108108108108108108107107107107107107107107107107107107107107107107106106106106106106105105105105105105105105105105105105105105105105105105105106106106106106106106106106106106105105105105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105112114118120120118117113109106105103104106107108109108105103102101100 99 95 94 93 93 94 91 88 87 88 87 94 98 99100100101102102104105105105105106107106105106109110110109109110109106105106106107107108109109999999999999999999999999999999999999999999999999999999999999999999122123124125126126125125125125125125124124124123123123123123123124124124124123122122121121120120120119119119118118117117116116115114114113113112111111110110109108108107107106105105104104103103103103103103103103103103103103103103103103103103103102102102102102102102102102103103104104105105106106107107108108108108108108108108107107107107107107107107107107107107107107107107107107107107106106106106106106106105105105105105105105105105105105105105105106106106106106106106106106106106106105105105105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123124126126128128126125122119119118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102117119122123122120119115109106103102103104105106106105103101 99 97 97 96 95 93 93 93 92 96 94 89 87 88 92 95100101101102102102103105106106107107107107107109108107107107107109107105109111111110111113999999999999999999999999999999999999999999999999999999999999999999999999999125125126127126126125125124124124124123123123123123123123123123123123123122122121121120120119119119119118117117116116115114114113112112111111110110109109108108107107107106106105105105104104104104104104104104104104104104104104104104104104104104104103103103103103104104104104105105105106106107107108108108108108108108108108107107107107107107107107107107107107107107107107107107107107107107107107106106106106106106105105105105105105105105105105105105105106106106106106106106106106106105105105104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127125128129129128124122122120120119121119115999999999115129128128125129999999999999999999999999999999999999999999999999999999999999999999999999999999 99124 99100125103124124124122118110104101102101102103102100 99 97 96 95 94 93 91 89 90 91 95 97 98 96 93 92 93 96 97 98101102102104106106107107107108108108108107105105104104104105104106111113115999999999999999999999999999999999999999999999999999999999999999999999999999999125126126127127127127126125124123123123123123122122122122122122122122122122122122121121120120119119118118118117117116115114114113112112111111110110109109108108108107107107107106106106106105105105105105105105105105106106106106106106106106105105105105105105104104104105105105105105106106106107107107108108108108108108108108108108107107107107107107107107107107107107108108108108108108108108107107107107107107107107106106106106105105105105105105105105105105105105105105106106106106106105105105105104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127127999999999999999999999999999999999999999999999999999999999999999125125125133134131130130128127128125121117115118118119124121114115115129130129125124123122999999999999999999999999999999999999999999999999999999999999999999999999 97129 97999999999999999999128127122111108 99 97 98 99 95 94 95 95 95 93 91 88 88 90 92 95100 98 96 96 95 94 93 93 94 95 98 99101103105104104105106107107104104104105102101101101100103109114108999999999999999999999999999999999999999999999999999999999999999999999999999999999127128132133128128127126124123122122122122122122122122122122122122122122121121121120120120119119118118118117117116115114113113112111110110109109109108108108107107107107107107107107106106106106106106106106106107107107107107107107107107107107107106106106106105105106106106106106106106107107107107108108108108109108108108108108107107107107107107107107107107107107108108108108108108108108108108108108108108107107107107106106106106105105105105105105105105105105105105105105105105105105105105105105104104104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136999999999139139138136135136134132134133134132133131131131130132132134133133128999999999999127126125125126127127125999999999999999999999126120127128128132999999999126125125133133132131129127127127126122117118117117118120120119119121128125124127126124121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100126121112103 96 92 91 92 92 92 92 92 91 89 88 89 93 99101 99 95 95 95 95 94 92 94 96 97 99 99101103103102103106105105105105104104102100 99101100103106107107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129130130128126121118117122121121121121121121121121121121121121121121121121120120119119119118118117117117116115114113112111111110109108108108108107107107107107107107107107107107107107107107107107107107108108108108109109109109108108108108108107107107107106106106106106106107107107107107108108108108108109109108108108108107107107107106106106106107107107107107108108108108108108108108108108109108108108108108108107107106106106106105105105105105105105105105105105105105105105105105105105104104104104103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134133135136137137138137137137137138136135134133132134130130130129127128129128128130131132131127999999999999128125125124125125125124123126124126126128126125117126126126126132999130126126126126132130127126126126126124123120120120122121120116112109111112114119123126125119115117109108107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98118108 85 85 84 90 90 91 91 91 91 91 88 88 91 98103100 97 95 96 97 95 96 96 96 97 98 99102101103104104104104100104101103102100 97 99101103105106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131131133132132129128125120117115116122120120120120120120120120120120120120120120119119119119118118117117117116115114113112111110110109108107107107107107106106106106107107107107107107108108108108108108108109109109110110110110110110110109109109109108108108108107107107107107107107107107108108108108108108108108108108108108107107107107106106106106106107107107107107108108108108108108109109109109109109109109108108108108107107106106106105105105105105105104104104104104105105105105105104104104104104103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135134136136134134135136137137136135135135136137136134132131131131130130129128129129128130129128129132131129127127126128127125125126127127127126125124124125125125127126124125125126125130129129128128126126129127120117116116118118117117118116118119119115108104101101103114119112111109107117105104999999999999999999999999999999999999 93103100 95 92999999999999999 89 81 79 81 89 87 87 96 99103104 94 89 87 89 92 93 92 91 91 90 91 90 93 99104104100 98 96 96 96 95 95 95 96 98 99 99100 99100104104103104 99 98 99100 99 98100103109109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131131131133133134134132128124124122124121999999121121121121121121121121121121121121120120120119119118118117117116115114113112111110110109108107107107107107106106107107107107107108108108108108108109109109109109110110110110110110110110110110110110110109109109109108108108108108108108108108108108108109109109109109109109109108108108107107107107107107107107107107107107108108108108108108108108109109109109109108108108108108107107106106106105105105105105105104104104104104105105105105104104104104104104104103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139136136136137136135134135135136136135135135135136135135133132132132133132132131131131131129129128130130130129129128127127128128128127129128128127127126125125125126125126127124123123125128128128125126129129127125121118117114111113113113114113115117120112112 98100 93 92112999999999999999999999999999999999999999999999999999999 97 96 98 97 95 94 92 91 87 85 82 80 75 78 80 81 80 81 86 90 95 96 94 87 88 87 90 88 89 91 90 90 90 93 96 98101105105103 99 97 97 97 96 96 95 95 95100101100 99100102105102100105 98 97 99100101101104111112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131131134133135134133134133131128130999999999999999999119116117118120120122122122122122121121120120120119118118117117115114113112111110110109108107107107107107106107107107107108108108108109109109109109109110110110110111111111111111111111111111111111110110110110109109109109109109109109109109109109109109109109109110110109109109108108108108107107107107107107107107107108108108108108108108108108108109109109108108108108108107107107107106106106105105105105105104104104104104104105104104104104104104104104104104104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138140136136137137136136136135135136135136135135135134134134134133133133133134134134135134133133133132131132132132132131131130130130129130130130130130129128127126126127127127128127125124123125126125122123125127127124121119118119116113113113110109111110108101 98 99100100 98 96 97110999999999999999999999999100100100102 96999999999 93 99 98 96 95 93 91 90 88 87 87 85 81 79 78 82 84 84 88 86 89 87 86 86 85 85 84 80 82 84 84 87 91 92 94 95 99103105105 98 95 95 96 97 98 98 97 98 97 99101101101105104102104100103105104100103106110116122104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131133134134134134134134127126999999999999999999999999122117118119119119119120123123122122122121121120119119118117117116114113112111110110109108107107107107107107107107107108108108109109109110110110110110110111111111111111111111111111111111111111111111111111111110110110110110110110110110110110110110110110110110110110110110109109109108108108107107107107107107107108108108108108108108108108108108108108108108108108108108107107107107106106106105105105105105105104104104104104104104104104104104104104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139140139138137136136137136136136135137137137137137135135135135134134134134135135135135135135135135134133135135137136136136136136135133133134133133133132131129128129129128127127128125126124125125125123124126126126124121120120119119118115113112108108108108105103103106104 98 98 97 95100 93 93999 95 94 97 99100100100100100 98 97 95 94 95 95 91 91 91 88 88 89 87 87 87 84 85 85 85 87 88 89 89 85 85 86 84 84 86 86 83 80 78 84 87 92 93 98101102105107100 96 94 95 96 98 99 99 98100 98100102101100100101 99102105106107107105107110118123106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132130131133133134134135134133127999999999999999999114115118119119121119119119120120120121123124122122121121120119118118117116115113112111110110109108107107107107107107107107108108109109109110110110110111111111111111112112112112112112112112112112112112112112112112112111111111111111111111111111111111111111111111111111111111111110110110109109109108108108107107108108108108108108108108108108108108108108108108108108108108108108107107107107106106106105105105105105105104104104104104104104104104104104104104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140140139138138137136136136136136136136136136136137137137137135135135135135135136136136135136138136136136136135134137135135137137137138138138138137136137136136135134133132129128128128126125126127124124123127127128128129127125124122121120119118117114114112111111110109106108107 99 99103 95 94 95 96 97 98 96 97 99 99 98 98 98 97 97 97 93 92 93 95 94 93 91 88 88 85 91 91 95 95 84 87 88 91 90 87 82 97 82 81 84 87 88 89 86 85 86 94 95 96102108112112107105102 99100 98 99101101101100 98 98 98 99100103108105106105107110109112111113117121109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129127129129132133132132133133134135999999999124117117116115118120121122124125124124123124123124124124125126125126121120119118117116115113112111110110109108107107107107107107107107108108109109110110111111111111112112112112112113113113113113112112112113113113113113113113113112112112112112112111111111112112112112112111111111111111111111111110110109109109108108108108108108108108108108108108108108108108108108108108108108108108108108107107107107106106106105105105105105105104104104104104104104104104104104104104104104105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142140141139136136136136135135135135135135135136137137137137137136135136136136136136136136135137137138135135138138138138134137138138138138138139140139137138138137137137136136134132131129126125127125125126126127128128129130128128128126125123122121119118117115113114114111108106103 99101101100100 99101102101100101 98 97 96 95 97 95 94 91 91 90 90 98 93 93 87 90 96 88 91 90 89 87 85 72 88 83 86 90 93 92 95 95 96 96100101 96 93 97100100103107111112109109106103102101 98 98 98 96 99 97 98 99101105109108113106110106111113114114114116116109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129131133132133133133132132132134127999113115117117118120120120122123125128128128127127128128127126126126125125125125124123118117116115114113112111110110109108108108108108108108109109110110111111111111112112112112112112113113113113113113112112112112113113113113113113113113112112112112112112112112112112112112112112112112112112112112112111111110110109109109108108108108108108108108108108107107107107108108108108108108108108108108107107107107107106106106106105105105105105105105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141139140140140139136136136136136135135135135135136137138138138139139138137137137138138137137137136139138138137138138138138138138138138139139138139139140138139138138138138138138137137137136134129125125124124126127127128129131132131130129126124123124123122120120120119118117118111108105104104102102102100101101100 99 99 96 95 93 95 95 94 94 93 93 89 91 92 92 89 88 90 93 94 92 87 87 85 85 85 85 83 88 89 89 94 97 96 99100107109110102 97 97 96101108112110113111108105104103 99 98104108106108111115118116115116117113111114113113113115117109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129131131132133133133134133133130129132124113115115117119118120122123125126129130130129128128127127127127127127127126127126125122118116114112111115114113112111111110110110109109109109110110110111111112112112112113113113113113113113113113113113113112112112112113113113113113113113113112112112112112113113113112112112112112112112113113113113112112112111111110110110109109109108108108108108108108108107107107107107107107107107108108108108107107107107107107107106106106106106106105105105105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139139137137139139139139137137137137137136136136136136137137138139139139139140140139139139139140139139138136138141140138138139140140139139139139139140139139139139139139139139138138137137137137137137137136132128128126126128128127128130131129128129129128126122123124125123123123122123122120115112110109106104104104103102103103100100 98 96 95 92 93 93 95 94 98 95 89 90 89 88 90 92 91 92 88 88 89 87 89 87 88 88 88 88 86 88 90 96101115112116115111109108112115114112110110110109107107112115114115118120123123124123119118117115113112112113114113114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132132134133133133133133133131126119123113114118118118119121122123127130132132132129129129128127127126127126127127126127126119117115113112112110110109109109113112111111111111111111111111111112112113113113113113114114113113113113113113113113113113112112112112113113113113113113113112112112112113113113113113113113112112112113113113113113113113113112112111111110110110109109109109109108108108108108107107107107107107107107107107107107107107107107107107107107107106106106106106106106105105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139139139137137139139137137137138137137137136136137137138139139139139139139139140140139139140139140141141140139141140141139140139140140139139139139139139139139139139140140140139139139138138138137137136136136135132132128129130130130131132131131131131130129129127127127127126125125124124125122120116113111108108107106106106107106105106104100 99 98 96 96 96 97103 98 95 91 91 90 88 89 89 89 88 87 90 90 90 88 88 89 90 92 92 93 98102107111116115114115118118119119117113110107108109112114117121122122123124127125125122122122123121116114115114114110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133133134134133132132130131130130125120115112116118118119120122124128130132132131131129129128127126126126127127126126125124120117116115115114113112111111110109109108113112112112112112112112113113113114114114114114114114114114114114113113113113113113113112112113113113113113113113113112112112112113113113114113113113113112113113113114114114114113113113112112111111111110110109109109109109108108108108107107107107107107107107107107107107107107107107107107107107107107107106106106106106106106106106105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139138138138137135135138137137136137137136137137137138137138139139139139138138139139140139139138139139141142142141140142142141140140141141141141140140140139136135139140140140140140139139138138138138137137137136134134135133132132131130132133134133134135133133131130129127128129130130129128127126123123117118117114112109109110112111112113114112107107104101100101 98 98 98 96 93 95 95 92 93 92 92 97 96 96 96 96 93 93 95 98100100104109114114115112111114120122123122120116113112108107110115117119124124126125127127126126127125127122120117116114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134132134134134133134133130130130129126124121118119120119120121123128131132132132132131132132129128127127126126126126125124121119118118119118118117117116118117116115114108108109113113113113114114114114115115115115115115115115114114114114113113113113113113113113113113113113113113113113112112112112113113114114114113113113113113113114114114114114114114113113112112112111111110110110110109109109108108108108107107107107107107107107107107107107107107107107107107107107107107107107106106106106106106106106105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138139138138136135134134138138137137137137136136137138138139139139139139139139140140141141141141141139141140141140142142142141142141142142142142142142141140140139139140140140140140140140139139139138137137136137136135135135134133131131133133133134135135135135133132132130130131132132132132130128127129125124124119120118115113114116116116120119117112109106103103102101 98 98 98 97 98101104104105103 98 99101104107105106106107108107112116118122120119119121122122122119116114113113113109113117119124130129130129128128129130130127125127124123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132133135136135135134133132131130129126125124123123122120120122126131133134133132132130130130129127126126124123123123121120123122120119122117118122122120120119119117118116110111112113113115114115115115115115115115115115115115114114114114113113113113113113113113113113113113113113113113112112112113113113114114114113113113113113113114114114114114114114113113113112112111111111110110110109109109109108108108107107107107107107107107107107107107107107107107107107107107107107107107106106106106106106106105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139139137136134134133134138137136136136136136136136137137138139139138138138138140141141141142141141142140140140140141141141141142142143142142142142142141141140140141141140140141141140140140139138137137137136137136136136135133134132133134133134134134135136134134134134133133135136135133132131130130130131128129129128125120118116119120122126126119114113109106106105102101104106105106108111112111111112111110110112115115117117117116117122124123123123123123122121122119118117116113115116117121124128129131131130128131130129130131130123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135136137139137137137134134131129129128127126124122120121123127131133134133132132131130128128127126124123122122122124124123123123123123120123122123122122121122120115114113113114114115115116117115115116115115115115115115114114114114113113113113113113113113113113113113113113113113113113112112113113113113114114113113113113113114114114115115114114114114113113112112112111111110110110110109109109108108108107107107107107107107107107107107107107107107107107107107107107107107107106106106106106106105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134138139136135133132134136135136136136136137136137137138138139139138137138139139140140141143143140142143142141140140140139140141141142142142141141141141141141140140140141141140140140141141140140139138138137137138137136137136136135133134135134135136136136134135136135134136136135136136134132131130132132134133132129129128124122120122124127127125125119117112109108109110111115117117114114117119117117120121122123123122122124125126124127126127124124124124124122121119118118117117117118122123128130131131132131131129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132135138139138133139139138136136134132131130128124123121121125129132134133133133133132131130128127126124127127123123124125124125126126124124125125124124124124123120121117117117117117117118118118118118117117115115115115115114114114113113113113113113113113113113113113113113113113113113113113112113113113113114113113113113114114114114114115115115114114114113113113112112111111111110110110109109109108108108108107107107107107107107107107107108107107107107107107107107107107107107106106106106106106105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138137137134132131131131132131132133134135136136136137138137138136137138139139139139140142143143142142142143141140140140140140141142142142142141141141141140141141141141139139139140141141141141141140139138138138137137137138137136136135135135136137137135136135136136137138137136136135135135133134135134135136136134132132131127122122124125128127127127124117114112111112115120122121122120119119119119122124125122124125125123125126126127126125124124122122121122121120119118118118118121125126127127122122122122122123123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137137132999999999999130139137134134132127125123122123127131132134134134133133132132131129128127126128130126126127128127127127126124124124123123122121122122122118118118119122122117117116116116116117117117116116115115114114114113113113113113113113113113113113113113113113113113113113113113113113113113113113113114114114114114114115115115115115114114114113113112112112111111111110110110109109108108108108107107107107107107107107107108108107107107107107107107107107107107106106106106106106105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136134135134135135135133130131130131131130130131131132133134134136137137137137137138139139138139139140139142141141141140141142142141141141142142142142141141141141141140141141139139138138138139139139139139139139138138138138138138138137137137137137138137134135135135135137137137139138139137136134134136135135135137138138137135134132130127123124124126126126129129128122119119117118122121123125127125124124123121124126127128126128127126126124125124126126126122127126123122121121120120119121124128129128128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127999999999999999999999129133131128126123123125128132133134134134133132132131131130129130128128127127130129128127127126126124123123122122121122122121117116117116120120120115115116115115115116116120120113113112114114113113113113113113113113113113113113113113113113113113113113113113113113113113113113113114114114114114115115115115115115115114114113113113112112111111111111110110109109108108108108108108108107107107107108108108108108107107107107107107107107107107106106106106106105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136137137136135137134133132130130130131130130132131130130130132132133136137137138138139139138138138138138138138140139141142141141142142141140141141138139139138138138141140140140140140140138138138138139139139138138139138137137137137137136135137138138138138135135136135136136137137137137137137138138135136136136136136137138139137136136134131128127126126126128127130132131130126125124124123127130130129128124128127129131131132131130131128126126129125125128128129124128127124122121120120120122125128127128127127130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129132132129125124125127130132133134133133132131130130130130130131130130129130130128128128127126125125125125123123122118122123123123123122122116115115115115115115121121120118117112112111111111112112114114113113113113113113113113113113113113113114114114114113114114114114114114114114114115115115115115115115115115115114114113113113112112111111111110110110109109108108108108108107107107107107107108108108108108107107107107107107107107107107106106106106106105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133136137137136135135133130130130130130130129130130129129131132133134135136137138138138138138137137137138139138138140139141141140141141141141141140140140138138138138140140138138140139139137138138138139138138138138139139138137135135136135135135135135135136137137137138136137137137137136136137136136136140140140141141139139140141138138138137134133133128126127129129133133134130130133132130131132132136132136133129129133134135134133132133132129126125126126130128128128126125122119121120119121125129129129128129129131123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129132133132129125125126130132134133133132132131130129129130130132132131131130130131130129129129128128127126125124124121122127127126126126125125123122122121120121115121120119118113112112112112112112117116112114114114114114114114114114114114114114114114114114114114114114114114115115115115115115115115115115115115115115114114113113113112112111111111110110110109109108108108108107107107107107107107107108108108107107107107107107107107107107107106106106106106105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139137137134133133135130129129127128129129128128129129129130129130132133135136137138138137137138136137137137138139139138141141141138139139139140140140139140139138138136137137138138138137138137137138137138139139139138139139139140139139138137137136137137137138138137137138141138138139138138139139138138141138143138140143143142143143141141139139139137133132131129130130135136135135136135136137137137137137138138138137136137136134134133134134134132131128127125125129128128127125122119120119119119122126130129129128127128129122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128127129130130130128126126128132134134134132133132130130130131132134132131131131131132131131130130131131131129129125123123123127127128129129124128127126124123122121115115115119114114113114115115114114114113112111111111112113114114114114114115115115115115115115115115115115115115115115115115115116116116116116115115115115115114114113113112112112111111110110110109109109108108108107107107107107107107107107107107107107107107107107107107107107107106106106106106106105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140140139139136135135135131130128129130130130130129131131133134133131132134136138139139139138139139138138138137138140140140143141141140141141141141142142141140140139138139139138139140139139138137138138138138140141141140139140139139139139139138138137138137137138137138138138136137138141139140141143143139138138143139142141142142143143142142141144142138136134134133134133138138138140139137136137138138139138138137136135133131130131130131131131131131130129129128127129126126126122118118119119119122125127131130129127127128128122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124128128130129128130127126126129132133132133132132133132131131132132134132132132131131132132132131132132132132132129127127125129129128129130130129129128127126124124117121120120121115115116117117117117116115113113113113113113118117115115115115115115115115115116116116116116116116116116116116116116116116116116116116115115115115114114113113112112112111111110110110109109109108108108107107107107107107107107107107107107107107107107107107107107107106106106106106106106105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144144141141142142137140139138137135134132131132132132131131130130133134137137136136137138139137137138138137137137137136136137138140143142142141140141140141141142141140140141140139139138138138138138138139138138139139140140141141141140138138139139140139139138138137137137137137137138138136136137140141141139139142139143142142141141141142142143143143144143142142141138137137140140139141141141139139138138138138139138136135135134132131131129125129129129129130130130129127125128126124125123119117117118119121124129130131130129125125126126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124123125129130130128129128127127129131132133133133133132132131131131133133132132131131131132133133133133133133130129128128128128131129129128129129129129129129128126124124119123123117117118119119119119118117116116120116120115114114113113118118118116116116116116116116116116116116116117117117117117117117116116116116116116115115115114114113113112112111111111110110109109109108108108107107107107107107107107107107107107107107107107107107106106106106106106106106106106106105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141142142142141138137135133135134134133133134134135135136134134133134135135137138138138137138136137137138138137136135135135134134136141142142142141140140140140139139139138138139138138138138138138138138138138138137138138138138137141141141140139138138138138138138138138137137137137137138136136135137138139138139141141141142142141142142142142143143143143142143142143142142142142142143142140140141140139140140140139138137135135134134134132132126125129127128128126124127125123122121117120119120118118118119121127130131131133132130124126127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123125128129129128127127125126129131132134135133132132132132131132133133133133133133132133133133134134134131131130130130130130132132130129128124124128129126124124123122121120119119119120121120120119118118118117117118118121120119113117118115116118119116116116116116117117117117117117117117116116116116116116116116116115115115114114114113113112112111111111110110109109109109108108108107107107107107107107107107107107107107107107107107107107107107106106106106106106106106106106106106105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135143142142141138133132132132131130130130132134135136137137136135135137138136137138139139138137136135137137137136135133132131130129130133139142142141140140140139139138137136137138138139139139139139138137137136137137138137138138138140140139139139138138138138138138138138137138138138138138137138139137139140141140141141141141141139141141142142143144144145143143142143142143142143141142141141142142140139141140140140138136136135135136136136135133132131129129130127122122119118118115114115119119118117120122124129130130131133131129124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126125128129130129128127125127129130132133133133132132131131131133133132133133133132133133133134135131131132132131131130131131129129129129127127126126126127126125124123123122122122121121121121120119119119118118117118117121121116115117115116116117117117118116117117117117117117117117117117116116116116116116116116115115115115114114113113113112112111111111110110110109109109108108108107107107107107107107107107107107107107107107107107107107107107107107106106106106106106106106106106106106106105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141143143143143141137135132131131131131129129129129131135137136139138139138137136135135135137138138138137136135136137137136134130127125120120122123131137141142141140140139139138137136136136137137137138138140139138138137137138139137137137139138138138139138139139137138137137137138137138137136137138138138139139139140140137141140141141141141142142142142143144145145145145144143143143144142142141142142142141141141140139140139137135134135135135137137136136135134133132130128125123120120121120118123121120120121123127129128130130130132131130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126126129129129127127126126129129131131132132132132131132132134131133134133133133133133134135135135132132133133133131132132132132131131130128128128128127127128127126123123124123122122121121121121121121119119122122122121122118117116117118118118118118118116119119116117117117117117117117117116116116116116116116115115115115114114114113113113112112111111111110110110109109109108108108107107107107107107107107107107107107107107107107107107107107107107107107107106106106106106106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131141143143140136133131130129128128127129128129129129132135137138138137137137137134132132132135136135135134134136135134134134131127124119115113116120126135140141141140139139139138137135134133133133135135135135137138139139140140139138137136136137137138139138138138138139139138138138137137138138138138135136136138139139139139138138138138139140140140140140143144143144144144143143143143142143144141143142143142143141141141138137136134133134135136137137137137135135135133132129127126126126125128127127125124124125127129130130133132127128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122124127128127126125125126126129129131132132131131131133132132133133133132132133134135135135136136133133133133133133133134134133132131130130129129129129129130128128126126126125124124122122122122121120126125124123122119118118118117117117118118118118116117119117117118117118117117117117117116116116116116116115115115115114114114114113113113112112111111111110110110109109109108108108108107107107107107107107107108108108108108107107107107107107107107107107107107106106106106106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135136140143139134131130126124126128128127128127129130132132134135137136138137135133132131130131132133133133133133134134134136132128127126120116116119123129136140140140140140139138136135134132131130130130132132132134136137137137138137137136135135136136137138138138139139138139139138138136134135137138136136135136138138138138138138138138137140136138141141141142143142143143143142142141144145144144144143143143142142142140140139138137134133135135135135136137137136137135135133130128128127130130131130130128128127128129131129132130126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122124126127127126126126127129129130132132132131130132132131132132132132132132133134134135136134133133134134134135135136136135134134133133131131132131131133131129128127126126126125125124123122122122121126127122125121119118117117117121116119119120117117117117117118118118117118118118117117116116116116116115115115115115114114114113113113112112112112111111111110110109109109108108108108108107107107107107107108108108108108108108108108108108107107107107107107107107107106106106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128135137138140141133129126124123123123127129127128128130132134134134136136136135135134133132131131131131131132132132134134135134132131128128128126125123126128131134138140140139137137136135134133132130130130130131132133133134135135135136135135134135135135135136136137139141140139138139139139137135136136138137136137139138137137137137137138139139139138139139140139139141140140141141142142143143144144144143143142142141142141140139138138136135135135136133135136138137136137136136134131128132131131132132131129128129130131131130130132132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127127127127128130131130130132131133131130131131132133134134134135136135135132132133134134134134135135135136135135135134134134134134134133132132129128127126125126126126125124124124124123124124124122121120118117117117117121116116122116117117117117117118118118118118118118116116116116116116116115115115115115114114114114113113113113112112112112111111111110110109109109109109108108108108108108108109109109109109108108108108108108108108108108107107107107107107106106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137135137140140139133128128125122124124127130130130130131132135136136134135136133132132132132132131131132132132133133135134134133132132132132128127130125123122120122129136138137138136133131130130130130128127128128130131131132133134134134135134134134135135135135136136138138140140140140140140140140139139138138136135138137135137137137137137138138138137137138138138137136137137136137139141143143143143143142142141141143142141143141139138139140136138136136135136136136137136137137134132134132131131130131130129129130133133133131129130131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126128127126127126127130129132133133131130131133134134134135136137137137137138134134135135136136136136136136135134135135135135135135135134133132130127127127127127127127127126124125125125125124122121120119119118117121120120120116116116116120120116117117118117117116117116115116117118117116116115115115115115114114114114114113113113113113112112112112111111111110110110110109109109109109109109109109109109109109109109109109109109109108108108108107107107107107107106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133134135139135130130128126125124125127130131132133133132133134135136136134133131130130130131132133131132131132133133133135133131130129131130129129127120113108106114125133135135134132129128128128128128126124124124126127129131133133133133134135135136136137137137136136137137138139140140140139138140139140139139138138137136135137137137137137136137137136137138137135134136137137136137139141142141141141141142141141141140140140141142142141139139139139138138136137136136136137134134133133133131130129129129129129129131133133133132131130130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124127125125125126130132132131133131132134134135136136137137137138138139140140137137138138139138138138137137136135135134134135135135134134133132130127128128129129129129129128127126125124124126125125119119118118117120119121120120120121121120121116116120120119115114116116116115116115115116117115115115115115114114114114114114114113113113113113113112112112111111111111110110110110110110110110110110110110110110110110110110109109109109108108108108107107107107107106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129131132135136136131130129128127127128129131132133133132132134134135135134132131131131132133133133134133132131131131131129127128128128126126127126124125124119111107108114122129132131130128126127127127126125123122122122123123125128129130132131132133135136137137137135135136137137137137137138138136137139139139141140139138138135133130132137137137137136136135136136136135134134136137137137138139136139139140140141141141140140140139140140142139136137139140140138137137137136137137137134133133132131130130128128128129129131133132131132128128126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124122126127125127131130130131133133137138138138138138139139139140141138138138138139139139139138138138137137136135134134134134134134134133131130129129128129129128128128128128126126124122125125119119121122122120120120121119119121116121121116117117116120119118118114115115114114114115116115115116115115115115114114114114114114114114114113113113113113112112112112112111111111111111111111111111111111111111111110110110110110110109109109108108108108107107107107106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129130132136139138135132130129128129129131132131131132133132132134135135134132131132132132134135135134133133130128129130129126124122121121121122121122122125123120115111109113119123123118117118117120121122121121120118121120122123124125127129129130130130132134135135135135134134135135137137137135136138138140140140140140139138137134133131132136136136136135134134134135133134133136135135137137134135135135139139139140140139138138136135136135136137136136138139139137137137137137137137136135133132132131131131130129129130132133132130131132129126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123121124125123124128128129130135137136136136137137137137138137137139139138138138138138138138138138138138137137136136135134134134133133133132130130132131131129131131131131128127124123122121123123121121122121121121120120119118118122122117121117117116115114113113114114114118114114115116116115115115116116115115114114114114114114114114114114114114113113113113113112112112112112112112112112112112112112111111111111111111111110110109109109108108108107107107107106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130133136137138135133130130130131133133133132131131132133134134134135134133132132133133132131133133133132131129127125125125122119118118121121123122123124126125124122119115114113117118118117115115118116118119120121120121121121122122124124127127128129129130132132133133133133130132131132134135137137138139139138137136138138137138137136135131133134134133133133133133133132132135133135132135133136134135138139139139141141140140137135135136137137138137136139139137136136137138135137134134135132131131131130132132132129129129130129128131132131126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124125125120120999999999999999122121119121118122123125126128132136137136136136136136137135136136137139138138137137137137137136136136136136135136136136136135135133136133132133133133132131132133132131131127126123122121121124123123123121122121121119119119118122123124122122122121120119117118118117117112117118114115115116115115116116115115113114115115115115115115115115114114114114114114114113113113113113113113113113113113113112112112112112112112112111111111110110110109109109108108108107107107107107107106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132133133135136135135135133133132132132133134134134132134132133133133133133134133133132132133132131130131131131131131129127124122121121118118121123123125125125125124124124124124122119116116116118117115117116117119121122122119119116116117117117120121123127127127128129130131131130127127128129128129131135135136136136136135136136136135135135133133134133132132132132133133133134132133133133133133132132133136137137139139139139140140139137135135137137137137137137138138137137137136136135135133131132132131132131131131132132131131131130129129130131131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121126123121123120118116999999999113115119119114117120120125129130134138137135136136135135136135136136137137138137137136137136136136134133134134134134134135135137136136135134134133133133132132132131130130129126124123123125123123123124119122121121121120119119118119119123122122121121121121118119118117115115115117118115115115114114115115115115113113113113115115115115115115115115115115114114114114114114114114114114113113113113113113113113113113113112112112112112111111110110109109109109108108108108107107107107107107106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135135135135135136135136134133133135136135135135133134134133133134135134133132133134133132131131132131130129131130130130130129127125123121118117119121125125122121121119120120121122122123122119118118116117116117117120122122120117113111111112112110109110114118122126127127128128128129129126127128128127128130132133132134131136136135135133133135134134134134133133134134133133132132133132135133134135134135135135135136137138137138137138139138136135135135134135136136136137137137137137136136134133132132132132132132131131131133133133133131130130130130133129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123125119116116115115114110111113116117116116114116118122125129131132136136138136136135136135135136136136136137137137137137136136135134134133134134134136137137136136135134133133132133132131129130129129128126124123123123123122122122122122121121121120120120120119120119123123122118117121120116115116115115113116118117115115114114114114114114113112113113114115116116115115115115115115115115115115115115115115114114114114114114114114114114114114113113113113113113112112111111110110110110109109109108108108108107107107107107107106106106106106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131135136137137136135134132132130132132134135135136136134134134136134134135134132131132133132131131131129129129130131130129130129128126123121117115117119122125125119118117116115117117119120120121121118118117117118120120118119117112107107104102105110104130108108115118123125127127127128128128128127127129129129128131130128129132130135138137136135135135134135136136137137135133132132133134135135133134136136136136135135135136136137137138137138138138135134134134133134134135135136136136135135134133132133133132132133132133132131132133133133132130130130130134130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122128123116115115115116118119119118119118117116115116119122128129130132133136136138136136135135136136137136136137136137137137136136137136135136137137137137137136136135134134133133133132132130129129128126125124123124124123123123123123123121122119124124124120119119119118122117117117120120115115115116116117116116119121118114114114114114114114114113112114115115115116115116116116116116116116116116115115115115115115115115115115115115115114114114114114114114114113113112112111111111110110110110109109109108108108108107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125128134136137138137136133130129129129131130131133135137137136133135135135134134132130131132133132132131129129128127130130129129129128127124120118113110112115118121123121119117116114116116120118121121121121121121119122122120119116111107107104106106109106104115109108112117117122124125127128129128129130129130130130130131129126129128130135137138138137136134134136136136136136134133133133135135135133136134134134134135135134135136136137138137137138138138136135135134134134133134135136135135134133132133134133134135135135135135137136134134133132130129130131132136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130129121120120119121122122123123121121121121117114115119122126129131131133137138135135136135136137137137136135135137137136136135137136135135137137137137137136136136136134134134133132132133131129129125126126125125125125124123123124123123123124124124125124124119119123122123122122122122117117118117118117122122122122121115115115121120113113120119114113114119115115115115116117120116116116116116116116116116116116116116116116116115115115115115115115115115114114114114113113112111111111111111110110110109109109108108108108107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120122125129134137136136135132129127127128129129130132132134135135134134134134134134133132132133133132131131129127126126127129128127127127127125123121117112111111111114115115117116116117117117117120122122122122123123122122124123121120116109105105104104102103102103108109103102107114116120121121124127128128128129129130129131130129128129129130133134135136135134134135137136135135135134134134135132132133136136135134133133134134135135135135136136136137137137137136135135135134133133133134134134133133132133134134134134135135136136136137137137135134129129129129131133137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129130128125122123121122123123123122122122121120117115115120125127129130132132136134135134135135137137136136136135135135134134134137135135135136137137136136136135135135135135133133133133133133132131129127127127126125126126126125125125125124124124125125126125121120120119124124123124124124123119119119118121122123124125123121120119124124117113114114114114113115115115115116116117116117121116116116116116116116116116116116116116115115115115115115115115115115114114114114113113112112112111111111111110110110109109109108108108108107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122119119119121122127132135135135133131128127128128128129130130132134134134132132132133133134133131132132133131129129129127126127128132129126125124123122119113112112112111111112112113112115116118118118117119121122123124124124124125125124123122115110106104100102101101 99111105110100105110112113114114115118122125126128129129130128129127129131130131134133132133135136135136137138137136135135135134134134131131131135135135134133132132133134135135135136136135135136135135136136135134133134134133133133133134133133132134134134134134136137136136136135136134133128129130130132133137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124126127124119120120120119120119118118119121119118117114118123126129130132132132133133132134135136136137137134135135134135134135138137135136136136136137136135135135134134133133132132132132132132131131131130129129127125124125125126124124123125125127127127127122122121121120120124124124124123123123124123123123123118122121121121121121115114114113119119114114114115115115115121121121116117120116115116116116116116116116116116116116115115115115115115115115115115114114114114113113113112112112112111111111110110110109109109108108108108107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124121120119118120122125127131132133132130128127127127128131129131131132132132130130130132132133133132131132133131129127126127128130130131132129125124123120115113113114113113112110110109108106109113116118117118121123124124124124123126127125125122115110107106104101101105105107106109104105111110113112114119117119122126127128130130129129129131131133136140140138137137138137136138138137136133133134133133133132131134134134134134134129128132133133134134135135134135134134134134134133133134134134134133133133133133133132133133132134136138137137137136135134133131128128128129132134131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124120122119120119118118116115116116117118118117117116120125126129131133134136134134134132134134136137137137136135135135134132133136136136136136136136136135134133133132132132131130131130130130130130131131129130128129129127126125128125124123123124126126127128123123122122122121120123125125123123124124123122123121121121122123116121116115115114114119119119119119118120120121120120120118113113114115115115116116116116116116116116116115115115115115115115115115115114114114114114113113113113112112112112111111110110110109109109109108108108107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128125123122120118120120121121124124125125126125128129131132133131130131131131130128129129130131132131131131132132131130128127127131132132131131129127125119117115115115115115114114111109109108107105106110112114117121123125125125124124125126125124118113111111110108107108110113112112113109109108105105108111111113113117124128130130131131132131132132137139141141141141142141138137138138138137136135134135134135135135135136136135129133133132134133133131132132132133133133133133132132131131134129132133133133133134134133132132133132135136137137137136136135134134130129129128129133136131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124117124122120118116115114114115114115116117116116119123125127131132134132131132131128131134137138137137136135133133133133132134136135134135135135135135134134132131131131131130130129129129128129130129130127127128127127126125126127127124124122124125126127127122123123122122122120124123126126126124124123122122122121120121122119119120116115115114119119119119119119121121121120119118112111111112112113114115116116116116116116116115115115115115115115115115115115115115114114114114114113113113113112112112111111110110110109109109109108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122128128126125124123121122122121121122119117116116115123128132134136135133131131131130131130130130130131131131131132132134133131129129130130130129128127123122121119119118118117117116115114114111113112110107109111111112116121124125125122125125125124122116115117118116112110110111113114113114112112113111111112113114115118123127128130130131130131131133134137139141143144144144143141140139140139137137137137136136136136136135135135135133133134134134135134134133133133132128128130130132131132132132132132132131132132134133133132132133136137137136136136136135134134134131129129130132132134131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120120120120117115114114114113115115116117113114125126126130132133134129128127127128127133137137138136134133133132133135140999999999134132134134134134133132132132131131130129129128128129127127127127127126127127127127127126125126128127126126127127127127123122121121121123123120120125125125124123122122124125123121117121113118113119115120115119120114114119117117118120120119119119118111111111111112113114116116116116116116115115115115115115115115115115115115115115115115114114114114114113113113112112112111111110110110110109109109108108108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127127127127126125124123122124124123123122121118114113999114122128132134137137136136134133132132130130130131131132132132133133134134134132131130127126126126126124124124124123123121121120119118117117116116115114112112112111110109112122123123123125124124123122122126127127125121117113113114114113111111112116118118119121122122124125126128129130131133133132133136138139141143143145146145145143141140139139139139138138137136138138137137135136135133134135134133136135135134133132130130130131131130130133133132133133134134134135135136134133135137137138138137137136135134135134136137133134131131133136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121120122121116115115111113114112113114116116119128129131133136136135133126126125125129132136137137135133133133134134135138139999999133133134134133133133132131131130129129128128128128128128128127127127129127125127125129128128128128128127127127127123123123122121122122123121121120120119119123123123123125124123122119119114113113113113119115119115114115114112112117119119119119120114113113112112112113114115116116115116116115115115115115115115115115115115115115115115114114114114114113113113112112112111111111110110110109109109109108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113115119123124124123122122121120122124124123999122121117120999999999999999124126133131131133134134132133132131130130130131131131131131132132133133133130129129128128128127126125126125124123122121120119118117116115115116114113113113110111110116121125125124123122123127127129129129128125121117117117116114113113115118121122124127132131129129127128132134134134133133134137138138141144144147146146144143141142140140139139139138137136138138138138138138137136136135135135134134133132132131131131131133132131132133134135135135135136137137136136136136137138138137137137137136135136136135134133133131130132132133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123121117116112113114113115116118119120123130133134133133133134133127126127128129131133135134134133133133133133134132132132999999133134134133133132131130129127128128129128128128129128126127128128127128127126128129128128128128129127123128125126122121121121121122125121121123123120118122125128123125122122120120119119119118118118114114115115114114113112112112113114114115115115115115114113113113114115116115115115116116116116115115115115115115115115114114114114114114114114113113113112112112111111111110110110110109109109108108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115111108107110114116116117117119119121121999999999122121120118999999999999999999127129131131130130131132133135133133131130130129129130129129129130128128130129128128129129129129128128127125123123122121119118117116115115115116115114114115114113111114120125126126123121125129129130130128127125122121122122122120120120121125127126130133139138137137137138140140140139138137137139141143144145146146145145144142141140138139139139139138137138139138138139138139139137137137136136136135133132131129129132132132132132133135135135136136135137137137137137137137138139139138137138137138137137137136134134134133133131132133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121119115120122125127122122122123126130131131130130130131135130130128128128128129129130130131132132133131131131131131132133999999999134134134133132131130129131129128127128129128127126126126128127128128127128128128128127127124123127127126126125122122121123123123125124123123120120120125128125124124123122126122121121121119112114114114114114113111113113113114114114115115116115115115115115115114115115115115115115116116115116115115115115115114114114114114114114114114113113113112112112111111111110110110110109109109109108108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114115114112110111113115117117118118119120122125124124122120120999117999999999999999125127130129129129130131133133133133131129128128127127127127127126126126125125125126127128127127126126127124122122121121119118118117116116115115115115115114113113111115125129130129127126127130130131131130129127126125125126126126129132134135136133136141143146145144145146147146144144144142142144145146146146145144144144143140140138139140139139139139138138139139139139139139140140139136136136136136135133131134133133129131131134134134135136137137134137137137137138138138139139139139140139138138138138137138134134131130133134130131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123122117124124128125126125126128131132133134135136136136133132132129132131130130130131132133133134133132130132132132132133138132999999132135134134133132126129128127127128128126125126125125126127126126126126127128127124124123123123123126125125122123122123123128127124125121119119120119118116116123123125126122121121121118117118122114118114112112113113113113114114113115115115115115115115115116116115114115115114115116115115115115115115114114114114114114114114114113113113112112112111111111110110110110110109109109109108108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114115123120120120122122122119116117117119121123122121119120120120121117999999999114118123127126127128129128129132133132131132129129128127127128128127127126124124125125125125126125124125124123122122121120119119118119119118118116115115117114109109114124132133133132130129129131133133134134134135134133132131132134137140141142141138140142144145147147147147146145145144147146146146146146146146145144144143142141141143143143143142141141140140140140140139139140141142141135136135140140136134137135134133133135134135135136135136137137135135136136136137137139138138138139139139138139139138139138135132133132131130130130131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120118122125124127127128131129130133132133136137138138138137134131131134133133133133132133133132132132133133134134132133132131136131132131133134134134134131128128999128128128128127126125125125124125125124123123127127123124123123123123126125122122121122122122127127125125121121120118116116116116117116116121120119120120120118123124118124122113113112112112113113114114114114114115115115115115115115116115115115115115116115116116115115115114114114114114114114114113113113112112112111111111110110110110110109109109109109108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119128132131127123115116117119120119119117117119119118118114114113110112114118123123124125125123125129130131131129127127127127126126127127126125125125124124125124125125124124124124124123123123124124126126126124121119118117115116113113121130133134135135134133132132132134136136138139141141140140138137139141144143143140141142144145146147148147146147146145145147147147146145145146144145144143142145145146145146146145143143142142141141140140141141140141140141141141140141141140138136136137137137138137137138138138138136137136136136136136137138137137138139140140139139139139139138136135133131131130129128130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123119123122124126127129132133133134134136135135136138138136135135134131132132134134134134133134134133133133134134134133132132132132132131131130129131135135134131125129128130130127131130129124122121121126121121122121127122122122122126121123123122122122121125125122123121121120118122121116115114115114119119119115114112114119119119123125120124125113113112112112112113113114114114115115115116116116116116116116116116116116117116117117115115115114114114114114114114114113113113113112112111111111110110110110110109109109109109108108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119999999999999999999999999999119114114114115114113113112109111112113116120121122121118116119123126127124123122121122122122123125127127126125125125125126125125125124124125125125124127129132133133135135132129125124121118119119119123130131132133136137137136135135136136137140144146147146145144143143144145144143141141143146147148148148149149146145144145146146145145145145146146145144145144145145145146146145146146145144143142142141140139139140140140142142141136141141140138139138138139139139139139138139139139139138137138137136135136137137137138139141140139139138139138136134133132132130130129127128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113112111999999999999999999117121121126122125126128130133134134133134135136137138138138138137136136135135135136136136135135135134134134134134134133132132131131131131132131131130131129127127126125125125130129125125130125130130125129128127127122122122121121121126121121121127127126125125125126126124123119117116121120120115114114121121121115116113113114114114120125125119124124119113113113113113113114114114115115116117117116117117116117116116116116116115116116116115114113113113112113114114114114113113113113112112111111111110110110110110109109109109109108108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116114113111112111112114112110117111114116117116114110106105109114121123122121121118117118119121123125126126125125125125124123123123123125126127127131135138141142141140137134133128126125125121122123122126129130131133137138138137138138137139142146148148148147146146147146146143142142143146149149149149149150149149146145145144144143144145144145142141143142141141142144143142142142142146146144143143141140140140140140140142142142141140140140140138139139139139140140140139139139139139139138140138136135136136137137139140140140140139138137136134134134131133129127127131132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114113112116114110107110114114116120120124123123123126129130132133134135136136137138139139139139139139139139137136136136137136136136135135135135135134134133132132131131131131131131131130131129128128126127127126125125129130129129131130130124128127127123122122122126125120119118123125125125125121121126126124119119117115116115114114113113120119119119118118118113118114119124123119121124120113113114113113114114115115116117116116115115115115115115115115115116115115115116116115113114113112112111111111114114113113113113112112112111111110110110110110109109109109109108108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116118116114111112110110110117117110111114116117114110104 99100103108115119120120119116114114111114118122125122122122123123123121122123124125127129132139142145147146144140136134128125125127128125123123123125127128130134138139139139139139140142146148148149149149148146147146144143143147147149149148150150151150149150148148146144144143142141143142141141139137136138140141141146146147147146146146144143142141140140141140140140140140140138140140140140139139139140139139139139139140139139138140140140138137137136137138139140140139140139138137136135133132130132131127125130131131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109113116116116116116115114115117120119122122121124127126128131134133135136137138138139139139138140140139140140140140139138138137137137137136134134134134133132132131131131131132131131131132131131130129128127128128127127126124125124124130129129129122122122122121120121126125118118118118119119120119120120119120120119123122122121120119118116119118115116119118118118119122114114114119115114114113113113113113114115116116117117116116115115114114114113113113114113115116114114115116115113113113112111111111112113114113113113113112112112111111110110110110110109109109109109108108108108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123118115114115999999999123120115112113114116111108102101999106103104106109111110110999999106110116121123121121121121123123122124125126128129132138144146149150149150149999999999999125121125125124123120122124127132136138138138138138140141146148148147147148148148148148146144144148149149149148148148149150150150149149147145146144143144141143143143142141140138138140141142144145145145145145146145145144144143142142141140140141140139139139139139139140140140140140137138140140138139139140139139139137137137136137138139139139139139138138136135136132131130132131125123130133132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108113113116116115114114115115114115117120122125123124126128131134135136137136137137138139139139139139140141140141141141141140141142138137137137135134133133133132131132131131131132131131132131132132132131130129128128127128128127126125125124128129129129128121121120120120120119118122123124126119119119120119119119120120119123117116116119123123121120118118118119117118118118119118119113115115115115113114114115115115117118117117116114113112113112112112112113113113113114114115115116116114113114114114113112111112112112114114113113112112112111111110110110110110109109109109109108108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124122122999999999999121120120119117115114114112112109108999999999999999999999999999999999999116118122122121122122122123123126129132134134136140144146148150151150151149999999999999999120122123125124120120123128134137138138139138138139142143147149147147147148148148147147146147150150150148147147147148148149149148148146146146145145145144145145145143143141141141141141143144144143143143144144143144144144143144143142141141141140141140140141140140140141140140138137137141141139139138136137138137137137136137138138138139140139139138137137136135132132130128128128126132133129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119117115117118118116116115113112111112113122121123124125127130132135136136137138136139139138138140141140140140140140141140141144143143142138137136136134134134133133132132135132132131131131130131131131132131131130129129129127127127126126125125124123122129129128128122121127126125126125119123124125124119119119118123124124119120118117115115118119118117117118118117118118118119119113113119114115115115115115115115115115116117117116115113113112111111111112113113112113114114115115116116117115115116115115116115114114114113113114113113112112112112111111110110110110110109109109109108108108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135129130134117999118117122120116114119121118117116114109108104999999999999999999999999999999999999999122121122122124124125126129133137139141144146149152153153153153152149150137999999999999123123125122121121124128135137138138138137139140139143146150150148147148148148148148148148150150149150149148147148149149149149147146147145145145146147147147146145144144144144143143144144142142141140139139139140142142142142143142141141141141143142141142142142141141141141141138138139138140140139137136137138139137136137138138139139139138138137137135136135133132131129128128128135135127116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120121121121119117120120118116114112111114117119123124127129131131135136136136137140139140139138140141141141140140141141141144144145144143139138137137136136135134134133132132132131131131131130131131130130130130130129128129128128128126127127126125124123122121128128127126129122128128126125125125125125118118119119118124124124125124124118117122120114114118118119118118118119119119118119119114114114114114114114115116116114115116116115114113113112111112112112112112113114114116116115114115116117116115116116115115115115114113114115114113112112112112111111110110110110109109109109108108108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135136137140117999999999999999117114120124124124123122114107999999999999999999999999999999999999999999999999123123124125127130133138144149150153154156157157156157156154151150149151999999121120122123121121119121125133137138138138138139139140140145148149148147148148149150150149150150150151151150150149148148148148149147146147145145145148149149148147146145145145146145145144143143142140139136135135136138140142143143144144143141141141143141142142141140140140140140137137138140140141140141138140140141140139139138138139139138138136136136135135135133131130128127127128131129117115999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121123124122123122122120119116115113115118121124128128129131132132134135134135138139137140140140142145147146140141141141140144145142142141140139139138138137137136135134133133133133132131131131131136135130130130130130129128128128127128128129127127126125125123122122130130129128128128127127126126125125124118118119119124123119119119120120118117116115115114114119119119120119119118120119119119120119113113114114114116115114114114114114113114112113113113113113118115114115116116116116114114115115115115116116115115116114115115115115115114112112110111111111110110110110109109109109108108108108107107107107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114116116117117999999999999114112117123128129129129999999114999999999999999999999999999999999999999999999999125126127127128132138145152155157160161161160159159158157156154154153152999999119120121122120119117118122130133137138138139139139140140144146147148148148149148150150151150150152151151150150150148147145146147148147147145145148149149149148147146146144145146147147146144144142140139135134134134135138141143143142143143142141140141141142141140138137138139139139137138139141140141141142141141141140140138139139138138138136136136135134133133132131130129127128129126133124114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125124126124122123122120117118118116115118122125128130131132132133132135136136137138140137139142141141146147146145144140140140140140140141141140139139140140140139137136135134134133133131131131130129134134133133128128128128128129128127128128128128127127126125125123122122121128128129127128126126126125118118118118119123119119119119120120119119118117116115115115116122121120120120120120119119119118118118120112113114115115114114114113114114114113114114115115114115115118116116116116116116115115114115114114115115115114114114114114114115115115113112111111112111110110110109109109109108108108108107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118117124128131132130999999118118999999999999999999999999999999999999999999999999999125129131135141146152156160163165166165163163162159159160156156157137125999117116117119120119116118122129133137138138139139138138136140144145146149147150150147147149149150148149149150151150149148147147147147148146146148148149150150150148148147147147146147148148147144144142140137135135134137140142143142142142140139138138139141141140137137138139138139137137136137138140142142141141140139138136137137137137137137136136136135133132131131130130128127129132131139127114127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126127127124121120119116117119119118119123126129131132133134136137137138138140141142143144139139140140140140140140139139139139139139139139139138137138138139139137137136136134133133131131130129129128127126133132128128128128128129128127127128128128127126126126125124123121121127121121121126126118118117118117117118119119119120120119119124124118118119118116116116116117116116119120121121120119119117116117119119118118118119114114113113113114115115115115119121121115117117115115115116114116116114115115114114114114114113113113113113113113114115114114113112110110111110109109109109108108108108107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124127128129129129130134999999999118118999999999999999999999999999999999999999999999999999999999132135140143144149152156161164165164162162160159160162161159142138999999999115117118117116117120123129134135137138138139139138137139142144147149149149148145145143146145146147147148150150149148148148147148148148149149149150151152152149149148149149149149149149147146144142142142139138139139141142142142142140140139138137139137139137137138139139137137136137136136137141141142141139138136136136137138137136136136136136135134133133131131131130130128128128127137128114127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124127127125121121117116117118118120124126129132133135137138139139138140139139142141140142139139138139139140140139139138138138137137137135136135134134135136137135135136135134132131130130129128127127132126132132128128128127126129127134133130130126126126126125125125124123123122121121120120119119118118118118118119119119119119119118125117117116116116116117115116116116115115120115114113113112116115114117118119119120119119117118116113113114119120119119120120121118115115115115115115115115115115116115114114114113112112112112112112112113114114114114113113112110110109109109109109108108108108107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125124124123123123122999999999999118118999999999999999999999999999999999999999999999999999999999999999999135139137139143149157162159160156157155159161167166164142999999999999124114117115115116119124130135135136137138138137138137137139139140144145145145141140141142142144144147146147148147147148148148149149149150151151151152152153152151151151150150150151150148146144143142142143143143143141142142141141140141140138138138138139137137138138138138137137137138138136138138140139136136136135135137137136136137137137137135134132132130130129128128128128126126130120114116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121125121120119115115114116119122126130133134136137138138138140140140138138140138137141137138138139138139139138138139138137136135135132131130130131132133134135136135134132130129129128127127127129134128128127127126127132132127127133133130131129130129130130125124125124123122123122121121121120120120118119120120119118118118118118117117116122121114114114115115115114115115115114114113112109109108108117116117118119119118119117118116116123117117118118118118117115115115115112115115115115115115115114114113111111111111110111111111111112113114114113113113113111110108108108109109108108108108107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140142135140150156157158156155156999999173169168999999999999999999111114116116117118123127134134136137137137138139138138138139137142144144144143140139144144142142145146146146146149147150149148149150151152152152152152152152152151151151150150148145149145143143142142142141142142141141141141141141141141141140139139139138138138138138138138137137137138137137135135136136136136134133132135136136136136136136135134131129128127127126126127127126130130131130132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119112121119119118114114114118122126128132135137137138138138138140140138138138138138141141137137138139138139140139139139139138136134134131130129129129130131132134133133131129128128127129129129129129129129129128133133131132133131132132126131131131130129130129125125125124122122122122121122121121121120120120120119118118118118117116116116116121114113112113113114114114114114114114113118116115107106107114114120120120117119119119117115115116120120118122116116115114115116115115116115115115115115115114112111109109109109109109109110110111111112113113113113113112112109108108107106108108108108107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141143146150150154156999999999999999999999999999999999999999121111114116117117121127133136137136136136135136139138134137138142143143142142140142140143143143144144144143144146147151150150151150151152152152152152152151151151151151149147147145147146144143142142142140140140139139139139139140140139140139140140140140138139138139138139139137137138137136134134135135136135135135134136135136136136137136135135134130129127126126127130129128130129126129132133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117113114115113114115118122124127130134136136138137136140141140140138138138141142142142137137138138137138138138139139138137136133133132131129129129129130130133132131129129128128128129129130131131130130129130135135133132132131131124130130131131131129127128125125123123121122122122123122121121120121120119119117117117116115115114114114115115114113113112113113113113113112113112117116116114115108106111110115115115117117118118117114114114119121117119115115115114114116115115115115115114115115113112111109108107108109108109109109109110111111112112113113112112112111108114112113105105108108108107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144142143144999999999999999999999999999999999999120120110111116117118120125129135137135134133134134138137133137137137138140137138141139140142143142142144144143143143144151150150151151150150150150151152152152151151149148148148148148146144143142141141141140140139139138138137137137136136137138138140140140139139140140140140140138138138136134134134136136137136135135133133132135135136135135135134131127126125125127127130129130129129128134136136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115114113111112115117121124125127131134135136136136137137138139139139142142141142140139139137136137138137138139138139138136135134133132131130129130129129129129129128128127127128128128130131131130131129129130128128127133125123123123128121129129130124123124125124124123123124122124124124123122121120119119119118118116115114115115114114115115113113113114114114113113120110117116116114114115120109108108108109109113114114115117117116117118120120117118115115115115115114115115115115115115115114112112111109108107107107108107108108108108109109111111112112111112113112108112111106106106105108108107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146145143142999999999999999999999999999999999999999120120114117118121122125127131134134134133132132135137137138137135135134138139141143144144144143143144144144145142148149150149150152152150150150150151152151151150150148148149149148145143142141142142140140140140139138136135135134133134134135136138139139138139140136139140138138138137136137135135136138138137136134134132132134133133132132132132129128126125125130131130129130129130127134135137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125117111119111113999115106111111115118121123125127130131134135136137137137138139139143141137138140140136140140142137136137137138138138139137135136135134133132131129129129128128128126127127127127129129131132132131131130129129128128128127126124123123123122131130130130129123123125125123123122124125125125123123122120119119118117117116115115114115113113114114113113113113113113112111118116116108107107116117114113110110106107108109110111114115118119119120118112117114114114114114116116116116116115116115115113112112110109108107107106106105106106107107108108109110110111110111111111109108108107106104105105105107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132132999999133143143143140139137999999999999999999999999999999999999130130115119121125125126127130130129131131130130132135136135135133131138139141143144145144144144143143144145145146145146147149149150149149150149151150150150149149147148149149149148145143142142142141140140140140138137135134133133133133133134136137138137137137135134136135135136136136136136135135136138137137136134133134132133133132132131131131130129129128127130130130130131129132133134137136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127139126121119115112110109116112105109112114117121122125127128130132134135136136136136138137137137137136140139138143141140142135136137137138138138139137137135136133133132130129129128127127126127128128129130131132133133131131130129129127128129128126125124123123130130131129129121121121123123124122121123125125122124120119122120120119118119116114121114113112119112113114113112113113113112118117109108107106106113113108109108108109110110110112111115115115117113112111111114114114113114116116116116115115116116115114112111111109108109107106105104102103104106106106107107108109109109110111110108107109107105104106110108108105106106105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133133133137140140139138135134999999999999999999999999999999999999999120115120124127125128129130129128129130130130131135133134134129130135139141142142143144144143143145145145145145146146147148148150148148148147148147148147146149148147148148148148146142141141141141141141140138138136134133134135134134135136136137137136137135135134134133134133134135136136136135134134133133132133133132132132132132128131136129128130129131132131131130131131132133133134129128999999999999999999999999999999999999999999999999999999999999999999999118126118999115118118120120120118116112109108106104107108110114117121122123125127128130132134135138139140137137136136139138138137137142138138140140135135136137137137138138139137136135134135132130130128127128128128128128129130132132132131133133131131128127129129127125125124124123130137137130122121121129122121123122122121122122123122120122118118117119120120119123122112114122121112111112111111110111111111111110109108105103108999999999999999106108110110109112111115110111111112110112113113113114114115115116116117117117117115114113113112109109110108106106104102100102103105106106106107108108109109109110110109107106104104109110108111109109111105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133132132132132132132131999999999999999999999999999999999999999999115119122124127129130131131133132127129129130130131131131129127131135137138139141142142140143143143143143144146146149149148147148149148148146146146147147146146146147147147147146142141141140142142141140139137136134134135135136135135135135135134135137138137134133132132133134135135135135133133133132132131132131131131131134131127127129129129130129132132132132132133133133131132129129122127999999999999999999999999999999999999999999999999999999999999999999999999113110118117117118121120118114111111111109108108108109112116120121120123125127127129135137138138136135135135135138136136137137142137141137137141134135135135135136137137137136136136136135133131129127128128129129131130131133133134133135132131128126128128128126125126125123124123132131122121122122132131122124124124124123122122121122119122121117121121118117115113114114122113111110110111110110109109110110109109108102 96 98102999999999999999104105113113110107108108108109111111111110115115114114114114115115115115116115115115114113111107108108108107106106103103104103104105105105106108108108110109109109108106106105104109110112112110110110108110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131130130130130999999999999999999999999999999999999999999999117117125127130130131133132133133130128130129131130132132130127127127128130129131136139140140142142141144143146144146145145146146146145145145145144144145143144145146146146146145142140140140142142142140138137136134135137137137137137136136136138137138138139136136134132133133134134131133134131131130132130131130129129130135129128128129129129130129132133132132132134134133128129128129130129999999999999999999999999999999999999999999999999999999999999999999999118117119119118119119118117115115117117116115114112110107108112117119120121125125126128134135132133133132133134134133131131130131136136140138136134134134136136135135134136137137136136136135134133129128127127128129130130130130130130130131129128128128130129126126126125123123124124123123122121121121128133122120122122122122121121121121121121130129120124122116116114116115110110109111111111110111111109108115114113105 98 94 95 93 91 90 96 98100102102107107108106106110107109108114113114113114114113113112112113113113113114114114114113110108107108108108108106104103103103103103104104105106107108109109109109107108105104110110113112111111109110108101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133131130129128128999999999999999999999999999999999999999999999113118124129132132132133131132131130128128129130131131132131128126124124123123125131132134136141142142142141139141142142143143143144143143142142143143144143144145145145146144144141139140141141142141140140138137136136136137137138138138138139138137137136139137134136134134133134132131132132130130129130125129128128127133133131129129129129133132128131132133133134134134135132129128128129131999999999999999999999999999999999999999999999999999999999999999999999118118124121120120120119118119122121120118117115115113110108115118121118120124126128129129129131132132133134133132132131132130130134135137138135136136144142136135134133135137137135136136135134134133130128128129128128129129129129129128128128128129129129127127127126126124125123123123123122121120119119119128128119120121121119119118119126121121120124125125121120113111111121121110111112111111115116112111111106107111105 95 96 96 92 89 89 95104107106105112101101104104104102108105107108109111111110110111111112112112112112113114112111109106105107107107108107105103103103103104103105104105106107107112116116114112110110109110110110104103110103102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135132131130129127999999999999999999999999999999999999999999999114117126130130133134135132134132131126125126127128128130128126123121122123122124127129134136138138139139139138139138137138139139140141141142143144144142143143144143144144143144144143143143142141141140140139138138137138138138137138137138138137136136136137137134136137136135134133132133131130128128127125125127126126131131132128127128127132130130130129133129134133134130133129129127129134131999999999999999999999999999999999999999999999999999999999999999999114125120115115117117118118121122118117117118116114114112110116119116118123125127128129130130131133133133133133133132130131131131135136134134135135139141136136135134135135137137136136137136134135135133131131130128129128127128127127128129129128128130129127126125125125124124124124122123121119119119117118126131117119120122121120120127126122116122122123120115116117115113121120112112109114112112110108109103109104109106 99102100 93 92 89 88103 93102104105107109105100 99100102103104106107109112109110111111111111111111111112110111114110107105104106107107107106105104104103104104105105112112107114115115113112113109109104104102103108109108110109100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139137134135132130127999999999999999999999999999999999999999999125116120128130133134134135134134131129127126126126126127128127125124124123124124124125128133134134135135134135134137136136136137137137139142143144143143142140143143143143142142143144144144143143143142141139139139138138138138138137137137137136136135135135135133134134138138137136136135135132131129129128127127133127131127131127127126126129130126130131133129129129129129129130130130128130130135127999999999999999999999999999999999999999999999999999999999999999128122120114113113114115116120119116116116116115114118118116116118114116120125126128128130130130131131132133133132131130132133133132133134134138139140134133133134134136136135137136136136135134133138139131131130131130129128130131129129129129128129132131129128126125136134134123123122121120119120120122122122121122120120120119120128125125122123117118117119117117117113118119110109113112111110109108109107107107101102100106105 94100 94 91102100100104 99 99999100 97102105 99105101104106107108108108109110111111111108106102106106113115110109107105105107107107107106106105105104105104104114114113116114115110111109110105106106111110111109108106103 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139137136135133999999999999999999999999999999999999999999125121120124130134135134134132132133129128128127126126126127126126125125124122124123121124129131132131131132132132132134136136135136135137138141143142142144144142142143143142142143142143143143142142142142141141139139138137138137137137137135136135134132134134134132135135136137138137136134133133131130128127126127128130130123123124124123125127129129131132132127127126127125128130133131130129131134133999999999999999999999999999999999999999999999999999999999999999119120122115112114115116115116116116116115114114113113119116117111111114119123125127128128130130130131132133132133132132132134135134135139133138139134132133133135135135137136136134134133138138131131132132132131130131130130129130130130131130130131132130130137137125125123123123130128134133122120122122121120119119117118128127126127134130123122118117115117110120122106114107108112112111109108108108107107104105 99100100 99109107116113112110 90 99102100100 88 91 98101105 98100100101104106106105105105106107107107104104100 94112111112111114109104104106107107107107107106108107107113106112112115116112111112111109109108111111112112112107105100 97 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140139138141999999999999999999999999999999999999999999126122124128131135135135135132132131129129126126126125125125125126126124124123124123123125128128130130130131131130130133135137137137137139140141141142142142142143143142143142142142142142141141141141141141141141140139137138138138137135135135135134133132132130130130132134134134136136135134132131129129128126125133129130124121121121121121124127123130130131132126126126125123127132132129128130130128128127999999999999999999999999999999999999999999999999999999999999122119111116112112114115116116117117117120120115114111111111110111112114117123125127127127129130129132132134134134132133133134135139139138139133134132132132134135135135135136134132137138137137131131131131131131137139132132131130131132131131133130129137136136126124124124123131132120130130119127117126126118119118119117133133128132131128123120118122123125125118116120118120117109103108107105107106105103101 95 96 98102108110112113112110111100 98 88 88 95 93 90 94100 96104101101100 99102102101101100101103104105105103 99101 95 94 92 87 97100 98100102105106106106107106108111108114115105105104109110110111110109109110110110110109107104 99 93 89 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146147999999999999999999999999999999999999999999125122127130128134134135134132130130129128126127126125125126126126126124122123124124121125125127127127127129128129130133135136136137138140141140141142141142141142142142142142143143142142142140140140139139139140140140138137137137137135134136136134132132131129129129130134134134136135135132130129129128128125125132130130123127120119120120120121128128128129130130125124123122121125126124125127125124126125999999999999999999999999999999999999999999999999999999116116123109108110114114116117116116117118118115114114115113113111111113113114116122125126127128129128130130134134135134133132132134135140140139139138133134133134134134135134134133132132132133134132132133132133132140141133132133133132133132131130129129136135134134124124122121121129129117117115114126125125118118118119118118117117128134128126124124111122123121121118116113112119117110109109110111115 97 97 94 90 95 92101100106102 93101100101101101 99 88 88 88 95 90 93 96 97105100 97 97 97 99100100100100 99 99100102102101102100 98 95 90 85 84 87 90 92 96100101104103103100103104116108108109105109109108109110109110111111111111111108101 98 95 90 88 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149150999999999999999999999999999999999999999999999124122127134130133130133132132131130128127128127127126126126126125125124121122123122123123123124125125125125125127130132134135136136137136137138138138139139138140141142140141142141140140139139139138138139139139139138137136136136136135135136135134132130128127127128129132134133132134131130128128126127127133128131130130128127127121122122121128128127127128130123123123124123121118118119121122121120123123999999999999999999999999999999999999999999999999999999115119107110111114115116117118119119119119117117115116115113110110110111111114116119122123126126127128130132132133133131131132133134135135139139138137138138134133133133133133133132134133133134135135134133134134141142142142132133133134133133131131130128134134133132123123123122118115127113111114126126127114133127127115118119119119117128127115115113112113113109116117116103102117114 97 97 98107107 95 94 94 98 91102101107 99 90 87 98 96100100102 99 97 87 88 86 87 87 92 94100101 94 95 93 94 97 98 97 97 97 97 98 97 97 98 98 98 97 96 95 94 90 85 83 81 82 88 91 94 94 93 90105103 99 98 99 96 99100109107104106107109109110110110110108 99 94 91 90 91 87 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152154147999999999999999999999999999999999999999999124120128134136135133134129129129130129128127127127127127126126125125124123121124125124124124123124123122120121123127129132134135136136136136136135135135135137139139139138138139139139139137137137138138138138137137136136137136135136135134135135135133130128126126128129133135132135135128130128127126125126130128128129129128126127124124124123121128120127127127120121123123122122117116119117119121120121120999999999999999999999999999999999999999999999999999123124109113114114114117119119119117117117117117119117117116113111110109110109111114116120122124124127128129130131132133131131132132133133134140139138138136138132132132132134133133133134134132135135135135135135134134143142141134134134133133132138137129126134133133132122121121117117114122111122122121125127126128127129116117119118117117127126115113111112113111110118117116103102112 98109 97107107109105108112107110104106102101 91 90 95 93100 96 88 85 86 89 89 96 96 95 95 97 99 96 91 92 94 95 95 95 94 94 95 94 95 95 95 95 96 95 94 92 92 97 93 85 82 81 82 83 86 88 87 85 83 97999 97 96 89 92 93 91101102 99 99100104105106109111108105 95 99999999 97 90 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158157157156154999999999999999999999999999999999999999999999123126131135133129128125127128130130129127127128127127127127126125125124123125126125126126125124124120120118121125128131133135137137136136136135136136135134135137138137137137138138138137137137138139139138138138137137137137136135134133134135135135133130130130131130133134132134134130128128127126125133128126127128124125126128122122122121127126126127119119119120123121118116115113114114114116115125118999999999999999999999999999999999999999999999999106121103110110115118119119118118117116114114115115117117118118117114112112112109109114117119122125125126128131131133132132133133133134134133133133137138132132131132131131131133134133132132132132134134136136135135136135134134135135134133132130130129127125123132133137138129119120118117126121121123123127123121127118114126113113123122116122126128114113112113112119119119118104101 99108114115106108107110109108111109110102113112106105 99101104111 99 96 93 83 92 92 95 95 96 98 99 97 95 92 92 94 95 92 91 90 90 90 90 91 93 93 93 93 90 89 91 96 96 91 85 90 85 89 89 90 86100102103 79 96 81 86 86 91 83 88102102103104 93 99 92100105105102 97 83 83 85 86 90 91 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164162159156154148999999999999999999999999999999999999999999999124128132135130125125128129129129127127128128128127127127126125126125125125127123126125122121120117117118122126129133135137138137137136138139138138137136136135135136136136137137138138138138138138138137138138138138138138138137136134134134135136133134133132131131132132132131130127127127126126125131129128125125126124122124120120119117117125118118118118118117116116115116117114113114110112111118115999999999999999999999999999999999999999999999116120101107117112117118117117116116115115114114114114115114113122123116116114112111109112117120121125125127129130132131131133134135135134134134135134133139140139138132133133133133134134131133134134134135136136135134134132133135134134142132128127127128126124124133132131131130130119118129128125121123122132124118117117113124125113115116118120121114114124124112124119118115112 98 99 98111108106105106 93101108111110105115115100106105 99 99102100106 99 96113 97 98 98 99101101 90 97 95 97 92 93 94 93 89 89 89 89 88 88 92 90 91 90 88 90 90107108106100 92101 92 99 91 91 87 87105102 92 88 87 82 82 82 83 85 83 86 95 87 87 95 97 98 97102101 98 91 89 88 88 90 91 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165164167167165162160158157999999999999999999999999999999999999999999119123127130132126123124125123124124125128129130129129128128127125126128128127127127126124122120118119117117122125130134137139139139137138137138138139138137137138137137136135136137138138138138137138137136137137137137137138138138138137136136136136136136134134132131130130130129128127127127126125124130129122121122125124117117117117117116116112113115116115115114113111109114115111111111105113111119112999999999999999999999999999999999999999999119119105126108111115117117117117117116116115116116114114113113113121121115115116115112110112113118122124126128126125126128131134135136135135135135135135134133139138138138133134131131133133131133133134134135135135134132131131130130130130130129129127127127127125126125132132130132131129129131129126125125125133126126126125112127125125123124114114114115114125123111120119118116111 96 95108110108106 96103100100104101103108111105106104100103 85 99103106110115110116 99 84 97 98 86 94 95 91 92 94 93 92 91 89 89 98 97 87 89 92 88 92 91 90 92 91105106105101102 94 92 99100 89 97 97 97 95 89 89 85 83 82 83 82 82 83 82 93 80 80 94 97 89 91 95 98 98 96 93 92 93 91 90 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167169169169166163162161161162999999999999999999999999999999999999999120123125126126125122122121121120121124128130132132131130128128126126127128127126127127125123121121121119119123125129134138139140140139140138139139140139138138139137137137136136136137137138138137137137136135136136136136136137137138138138138137137137136136135134132132131130129129127127126125123122129124121124124123120115115121115111111114113112111110111112112117109106108107105107107112111111113114999999999999999999999999999999999999104145120119109122110111115117117118117117116116116115113112111110108110112112113115116115113110110113117121123125127125124124128132135135136136136135136135135132132132132137137131132129131139132132130133134135135134134132132131130130129129130130129127126127128129128127126124135125133131121120133132127127124125125113119110127123129128127127116116115117116114114125123112109106112 99 96 96109 94 94 94104109100 99 97 97 96104106104104100 99102 84 85 93 94102112115117121116 97 95 88 96 94 89 91 92 91 93 97 92 89 98100 88 87 96 91 92 97 91102 92 93 92 92 94102 94 93 91 92 90 99 96 95 97 92 84 84 84 83 84 96 97 82 82 80 77 78 94 93 94 84 95 95 93 93 97 97 93 92 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175170172171170167165164164164165166166999999999999999999999999999999999999999999120123124122123122121122122123127130133134134131129127127126126126125124124128127125123124125124123123126131135138139139140137139139140140140139139138139136136136136136137137137137137137137136135135134133133133133134136137138138138137137137137136135134133132132132130129128125126124122121130128123123124122120114113120117112114121115114113111111110107114114109107106105106110113112111107107999999999999999999999999999999111103105106105110109110112114115116118120117116117116116116114111109107104106107110112113113115114113110113116121121123124126126125129132135136136136136135136134134132132132132137139131131130140140131131132132133134134133134133132132130130129129129129129129129127127127126128126126126126124123119120124132131130128129126128122114116116115118120121118129131120118125116115114112105102116110 97 96111 96 92 95104100 89 89 99 96 96 95102102100 99 95 84 82 86 85 94101109114110107112109113106 96 97 99 89 92 94 96 96 94 93 93 93 90 90 97 88 96 95 97 98 98 90 99 93 95 95 94 92 93 92104101 95 96 96 96 95 81 81 81 93 93 87 87 82 80 80 94 95 94 94 79 92 93 92 90 95 98 89 95 92 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173174174172170168167166167168167167166999999999999999999999999999999999999999125119122121122123122124129129129131134136137135133132129127126127126127125124124129126123125123125125124128131135137136135137137139140141140140139140139139137135134135137138138137139138138136136135134132130129129130131133134136136137137137136136136135135134135135133130129129127125124120128121123123124124122113113111111119119119122115115114112109105111114108111111104105111110108108109106107999999999999999999999999999110100102105105105106108109114116116115118120117117117117115117112111108107105104104108110112113113114112111113115118121122124126127127132134135136136137136136136135135134131131130134138137130131130130131131132132135133136134133132130130129130131130128128129128130129129129127127126124124125124124125123125132132131129118119117118118116117118120119119118128118118117117116113113106103110 97115116116108105 93 93 92 93102108100 97 95 95100 93 93 99100 93 99 86 86 94 94 98112113106109101103110105 99 93 97 91 96 92 95 96 94 95 94 92 93 97 95 94 94 94 91 85 91 91 91 93 91 90 91 96 91 91 88 84105 96 97 95 80 80 78 91 93 95 80 81 94 95 96 95 96 82 91 93 93 87 88 84 84 91 92 90 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182175177176174171169168167168169172170169167166999999999999999999999999999999999999999119121121121122123126127129132134135136136136137133132130127126127127125125125127128125124125127128127130131133133133135136139141142141141140140140142140139136134135136136136136137138137136136135134133131128127128129131131133135136136136136136136135135135137136136131130129128126124120120119123124125122119114110110110116118119120112112111110114113105105101108108104108109107106105105105106 97999999999999999999999122115101102102104103105110111116116120121122122118125119116115117113112110109108106106108111114114114116113113115115116119120124124126129131134135135141137136135134134141139134133134140139140138130130130131132130130129131144135134132137129129131131129129130130129130128128128125124123121123123125124125124125123123119117116117117120119120132119118119119120119117117117127116120118105102111100118118118115106 94 94108 92 91101 98 97105102103 99101 94 96 95 96 97 85 95102 94104110109106 98105104108 93110 92 94 98 99 97 97 96101103102 99 94 93 94 94 90 93 89 88 89 89 99 98 90100 91 89 85 84 97 97 91 94 80 80 92 81 80 93 92 94 96 87 84 87 83 83 83 83 94 92 86 88 87 84 86 88 87 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183177177175171169169169169169170173171170168166999999999999999999999999999999999999999999123121122124125123123123127128131132134133135134132130127127127126127126127128128126123124127128131131131132134136137140142143142141140141141142141140139137136136136135136136136136136136135137136135133129127127129130130131133134135132136136136135135134134138137131131129128126125124122123125123123119118115113112117118118120119111110108105108110 99105108104103103105106103104101102107110105111999999999999 89 94110106102102103103103108112112116117122125125125122118117116116116113113114111110110110111112112112115114115114114114116117119122123127128130135136136136136136136135134133132133132133140139147140137139137128129129131132132144143134132131129128129127128128129129128128127126124124122119127126122122123123133133122123120118120118119119118118133119120118120120129119116125125124119119117103111110112118117114 95 95 94 95 94104100112 94101100110110100102100 97 98100 97102103102112111108111104102111113109108 95 95 99 99 99101106102101 99 99100 97 96 93 93 89 90 98 98 96 99 88 88102104 99 94 94 96 94 94 94 93 91100 99 89 80 80 79 88 89 89 89 90 85 84 84 83 83 82 90 90 91 86 85 86 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182176176173171171171171171172173174174172170167160999999999999999999999999999999999999999121120124126124124123122119118122128133130132130127123125127127125126128128128131128125125125125130134135137139141140142144143142141140141142141140138137137137137137136137136136137136136136137137136135132129126126128129130132133133134134134134133133133133132131131129127124125122120118124124122120119120114117119121121121121120107107107103102107105107103101104102102103102 99 99102103103103 98 97999 70 91101102102105106105104103105111115118120123125128129128127122119118117116116114112111111111112113113113112113113124114114116117119119120123127129134135134136136135135141139133138139139131138147146147141137136136137129134129130132141148148139128130128128127128128127126129127125125125123122123120120121122124124134133123124122123131121129127120122122120130121120121121126126125126124114121110116103101113116118 99106105105111106111102101103 90 90111105106108108 96 99 90109110112122121120120114110110110113103119103 97102104110111113104102105105105104100 98 96 86 87 96 98 87 97 90 90 91104 99 97 92 94 97 95 97 99 90 98 97101 85 85 86 88 91 91 91 93 93 89 87 85 84 83 89 90 91 92 94 94 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175175173173173172172172173175176176174171169999999999999999999999999999999999999999999121121123124125125123121118116118123121124128127124124124125124123124125126127127126125126126125125130134137139137139140142141141141141141142141138137137138138138138137138137137137136136136137137136137136133129128129128128129127129132132132132132133133131129130129125122122121120119117122123120121121120114121122122123121119109105105105102104107105103103100101 97 96101104104102104104103101107103 84 84 98102104105107107108104105108113117116119124126130127127128127124120118117116114113112111111111112112113112123123124115116117118119118120125128131133133133134139138140139138136135128130130130144145140140135136135136137135140136136137140144129129127128127127127128127128128127126125125125125122119119120122124125126126125124123122131121121124124123122124125122122123118120127125116115123121110107105104114114120119118109114113112104103110 91106107 90100107107105116102103109109110121121121121121118110100101117118116 97113113115116117108110107104108109108100 98 98 97 95 96106107107108 93100104101 94 96 96 97 98107104103101103 92 92 92 92 90 94 96 95 96 95 87 94 93100100100 94 93 94 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173175175174173172172172172173175176177177176174999999999999999999999999999999999999999999999124119121124126125122121116115114116115116118121121123124124124122123123123124124124122122124124122124126128130132133136139141142141142143142142138138138138138138138138138138137138137137137137137136136136136133131129128129129126130129129131132131131130129128129125123123122120119119118124123121120120117112121113121121119117116104103105103106105104102100 98999 99 99100103100101 94105101 97 97104 91 95 99103106108108106107105106109114117121125125131132132126130131129126119117116115123113115111110119120120120121112113114115117118118120125127130130130130138137137139139138138137130128130131131137136137132126126133134127126136133126126124138126126127125126126126127125126125125126125125125124122123122123123125124126126126125124124125124123128124123124122121120120119118118118118118116126114112111106105118122120121115109115111110107105103109115115103121111117117119109103103112111101102125123120116113102113100105106 97114114111114114110111111111111110108102102108107100103105107110110109109 93 88 93 85 90 93 88104106106106107 95 95 96 96 94100 98 98 99 98 98 98 97 99101102103102105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175174173172171171173174176177179179178179180999999999999999999999999999999999999999999999999120119124125126125119115113113114114115116118121121123123122122122122123123123123121121124125123123125127129130132133138142145143141142142142141140139139139139139139139139138139138137138138138136136137137136134132130130129128130128128130131132131129127126123124122122121121118117118124121119119117110111110119117115115114114113103103101100105103101 99101 99 99 98 97 97 99 99999999999102102 94 95 94 95103107108106107107106107112116120124129129130137138130131131130128126125134126124112114124111111119110110110111113115117116116120125127137137133133134128134135131132131132130131129128135130135135135135134134134135129135142130124125126126124125126125124125126126126126125124127126126126124124123123122124126127126127127126125124126127129130126124124122122121126121121121121118118118116117115110109109119117115103106112109108 99107 96104114112114108123123119112114115109102110 99111114127125122121117101109109109105107100102106112112111114114113113110111111109107104103105107106109109109103105 98105 96 94 92 89 92 94106109 97 96104106107104 97102102102101102100104104 98 96102103104108104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176175174173171172174175176177177180180179180182999999999999999999999999999999999999999999999999119123122125126121119117114113113114114116120120120119120121122121121122121120120121120124125125124128129130131132135139143145144144143143143143142141140140140140139139139139139139138138138138138138138138137136135134132130128129129130131132132131127128126124122124122120119118116121120119115110109109109109107113113112112111111103101 99109105105103107106103103 98106999999100103999111107 99100 98 96 96101105106105105106109112116119123127128127128128130130130130131130129127137122130117115124122113111112113112113114124119122125126136138139137134133132132127128138136137136136135129137142138135134135128134127127134120121135122122123125126126125125126126125125125125126126126125124126125124124125126125127126127127126127126125126125125130130124127126122125126122122123121118117117117116119123114112108105105103110120104102101100117 99111119108108107109115117118117114114110108105 97104119116116107105106111112111113112107110109114119114113112111110108110109110108108107107107107108108109109112110110109100 97106105 96105112111105108111105104 99100104106106106110107108100 99100100109108104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175176176173172172174176176176178179180180181182177999999999999999999999999999999999999999999999999116120121125125121119118114112114115114122120119118120122125123122120120120120120120121122124126127129132133134136139140142143144144145145143144143142142142143143142140140140140140139139138138138138137136136136135135133134132130130130131132130130130126126127125124122121118116119120118118114115120115107105102101109109109108107 97 98 99103103104104106105104107102999999999101104108113100 99 99100 99 99101104105105106106110109117120123125126126127127128128128129131132131129128126123120117117113114113115115115115118119121125126127136136138136135125126126132136138139137135138130137127136136134129128128126126124124123133131121121122122124125127127127126123123123123125125125124124124125125126126127127128128128129127126126125124124123124124123133123122120122121122119118119117120118120118119114113114109104103104107106105103115116113113115114109111111108106108112109104109108109107101118118107109107101101102106106107108105106112109109114112112111113111111111109112111111113110113115113116116119117112113112114114101108103102102102106106106104103107108108108107107105100105105104110105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178178176174175175176178179179180181182183182182999999999999999999999999999999999999999999999999116116121124124122121119114115116114117119119119117122126128126124123121119119119120121122125127130132135138140142143144144145145145145145144144143142143142142143142142142141140140140140139138138137136135134134134135134135134132131130131132129130130129129126125121121117117121120119116115114114115117105100101112111109107108109 96 97101103100 98 99 88 81 85107108999999110106107109112113102101101119119112112105106107108111114118121123126127127127128128128127128129131132126125128125120118120117116116116117120118120122123126129127135134126126127125126126133136137138139139136136135134136135135127125124123123123134128128122133133130121123125125133126124123123124135135135124124125125124126126127128126128127128128125127124125123128125125123131132122121126120123124122121117116118117118117117120117116116119111108108112112113109120117110108108112110109106106107108104104105104104 99100113112110111111109101109109108109106107109116109108114111111111113113113113112114112113114115119120120123121119118117118119118118110110106113114105103103107107111111109109108108106105108113108108108108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178177175175176178179180181181182183183183183176999999999999999999999999999999999999999999999999110119122123121120117113114114115115117117118117120126128126125123123121121119120122123126127129135137141143145145145145146146146147146145144144144144143142142142142142140140139140139139138137136137135136135135134134136135133132131132131131130131128128123122122121119118121121120119115114104113116115101113106100 99108109107 96 97109104101 95 92 85 80 88999999999999106109110113114113103102103120112119108108106105109112114117121123125126126127127137127127126127129131130132133134124120122119116118117118119121122125125125130129125126124136127126128129128128137141140141134138129128127128127126124120121120131136135126134131132131121123125132133130121122124123134134133123123123125127126127127127127126127127126125126130126125126126127124124124123124124123122122127121119117123116121113120114112113115114111111110114120114113113112110102102102102109106109110107105104102102102102103102114112113114113113114114114114106108113116115115115114114112113114115115114115115115116119121124123126126123122122121127114127126112125116107107105104105111112115113115108107106113111110110109109109108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176179178178178177177179180181182182182183184183176999999999999999999999999999999999999999999999999107124111121122121115115114113111112115116120118116123124124126124124123123122122123125127131133139143144144146145146145145146147147147147145145144143143142142142141140141141140139139138136138137137136136136134132133134135134133135131132133130128126125124121120122120131128124117107106104102104105105102101110115110107113107 97 96 99106100100999999999999999999999107108108110113113103102103116118119121121107107106111114116118119121123123122123133135124124124124126137139130134135127126124118119119119122120121123127123123128127125126127133128127128129130131142142136136135139136140129127127126130128127119134135135130130130129132132122129128122124124125120120133134132133133135125126127126126127127127129130127127127126126125127128130127123124123125121121121122122121120117117120119117112123114115117115120114118120115113118121121105104105104107106110112117115115114105113112101105107106104114115114113104106106108107106107106114113114113113115114114116114112114117118119123125128129131130127127127131132132131129119119118115114114112113113111111115116116115114113112112112111111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177179180179177178176177178180182184185185186184179999999999999999999999999999999999999999999999999999121112118118116114114112111110114118121119119118120122125127127126125125125124125126130134137142147146145145146146146145146147147148147145145144143143142142141140140140140140139139136135135137138138137135131131132132134133136133130131129128127125128127126124122120136121113111120116114116104104103103103111103102100109107106 94 89 94 86 92 94999999999 99 99101103104104106111112100100103104118119121116117118110116118119119119119119119119120133121121121121132133135137128129125129126125125121123122123124120122125126126125125123126127134130128129129130130129130131130138137128128127126125124133132131125125128121130136117126133132132131124126122121121123123133131131133134133133125127127127128128131128126126125126125125124127127130126125124123122121122121121121121119120119123126117120115117134133114120117125115111120119122124106105105108106113111112117118116109107107105104105108108108107107106106105106107109108107108109109113114114115115118115116116114116118120123124126126127130132130120121120132131131124128128126117116115109117116108107106110113111110109108109112112112111113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178177177176176177179182185187187187187182181999999999999999999999999999999999999999999999999999121110116118116115113111110111111119123121120121122124126128129127126126126126127129132134143146146145145146146147148146147148149149147145144143143143142142141141140139138138137137136136137140141140138134132130130130133132135134131128129128129127127126125123121121122117113124118118112110103104105105104103102100105105104102 94 86 82 86 90 73999 82 94 95 98101102107111112109111 98102103105119109117110119112113119120120132121121121122123122121121119119119130132132123125127129130126125126124124124121123123123123124124125123124125127128130131128130129131140132130136129128129127127125127134137134128125125127119127128125127128128121122134135122122122130130124131128129132133134126126126130131131131132129128126127126126125126128126126124122122122120121123124121124123122119123124116116116116118118115115117120117114118113112110106106104103102114115114114114113112112109110107106109110109106106109106107106109109116114113113112115114116116115115116116115116118119121122118137136120125127123129129129131131129125128128129119125125110118117108108106106111111112111110109109110111112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174176177178178177177179182185188189189188188187180999999999999999999999999999999999999999999999999999999116116117117117114111112111108118123124123122122122124127128128128127127127128130133136143142143146146148147147147147148149149150148146145145144143143142141141139139138137136136137138138140140141139135133133134128133134134131130129129128128126127128124122122121116118117125120121114112104106108107 99 99101 99105104101 93 99 95 91 92 87 77 75 91 90 96105105 98107107111112115108100104106106109118120114115115118120119120120120120121121121132139133119118126127119121124125128130127127126124124124125124123123122124123124123123125130139131131127128129127135130128127126126127126124133134124138130130130124123136134135132131128129128136138135123128129130128127128127132124135136135135136128130132132130125126127126129128129130136129130127125123123126121123121120123123125123124123122117118118121121121122122116127127115112112107110122108115108117114113114113114113113113111117108119120118109107108108110110110110110107107107107114108110117112113115119120121119116122125123137139126125129126131130130131131124128131130130133127120119126122121118114113115111112111110110110111109108110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174176177178178178180183186188190190190190188187187999999999999999999999999999999999999999999999999999999999115117118119117113112110110115119122119120120120122126127128129130129131133135138140142143144147148148148149148147148149151150150148148147145144143142142142141139137137137136138139140139139140137135135135131134133131132131130130130130130128127127125122121117115115124127125123103108105103105109103 99 99 99102107 96 88 93 93 95 91 87 79 84 88 96 97 99103111111111111112113107 99102104116111126122116116116120127118117126117117118118118119131118119120130130130120122124128130127128127125124125124123122122121124122125124124127129130130127123123132133136133127124130130130124123122133132137137138137137135134134133126132128129135133131133136135131131129129129128128126126132138137137129131130129129127129129128129127130140135129130136124124125124125126124123124123126126125124123122121125125124124122124120127109121112120109112121116121121115118118118114118117118119119118119118117120109105109111110110110111111107109108107110110109109108116117117118123119118120121122125130131130129130130132127129125134135135135135134133129122122125121117115115116113112112112112111111112111115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176177177178179179182187188190190191190189188187185999999999999999999999999999999999999999999999999999999999120119119119116112111108107111114116117117117119120124127128130130129133135137139141142144144147148148151151150149148148149151151149150148147146145144143142142141140139138138139139139139138140139137136134134134133132131132129129129130129126127126121119117116112112123124130121120107104101104106102 99 98 95 89999 92 90 91 84 85 90 85 80 83 86 85 95 98103108105116 95115111114104108108111122122117124126124127127122119112112112111112115116115123127127129137130119120122128129127127128127125125126127125126124125125125125126127129128128128127136136141137134134125130134134129128132133137136136133125131129129126136132127121123126127126126127128127139131127122129128130138137137135138131132132130129129128133128133130144131130139137129127125122123126126121125121123125125124120129124123124124122130123117115116114116114120123118113112118121119113116116117118117117119121122118105106107108108111111110107108107109108109109109109109109109119118120118116119120120122124126127126129133128127127128128127127135137137138134133130128129120119123120120118116113113111113112113111111112117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178178180180180184189189189190191191189188187186999999999999999999999999999999999999999999999999999999999999123118119116116111112109111114115113115117122123125127129131132132135136139140139142144144148149149150152150148148147149151150149149150149149148146146145144143143141139138138138139139140142141138136136136135133132131130130129128127130138137131116118121120116116128122123121118106103102104104112107 94 95 87 95 91 88 83 85 80 89 91 92 90 88 88 90 94104104116107116118113111103118110123122114116124123130130119109119110109120120109109112112123126124133135120119120134129130129131129130130129128129128128130130129127126126137139128138138135141137139140138138134135131133141141127131137136125125133131130130127128129123122132135129130130137134135136137127126121131132128130130131133133131132129131131129130128131128128129129127126132133122129129121120123123119122125122122121124132130123123129128119117122121116115119119125128126117118122121114111113117117112113113114108107108109108107111109111114110111112110111110109110116103110111119113121123119119116122122127128129127132133128128127129128128128127137137133129131131127129120120120120119119117117117117115116117118118116116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178179180180180182187190189188190190190189188187178999999999999999999999999999999999999999999999999999999999999116118118119117117112112113115116114117120125125126128130132133134134136138137139142143145145148150151151151150149149150152150149150150149149148147147147147147146144143142140140139140142143141138136139139138132134134133132132135128137135125123117115118115115116123130126118115108107107110108109 93 91 90103103101 91 94999 81100 88 88 85 85 92 95109113112101109111106108113115118112113114113115124124131126112109108115117122118120123116116118125126130127120119133137130130142143133133132131130130130133142139137137128127127128136136136139139134141141142140132133134139130147145139136129124124128132133132136135124133131133131131131137136137138139130130129130126129129132130130129128135133131132131128129130131131128128126124124129122121129130130124126128124125125123121128127124130119130131128121123121123118126126126124128128126126124121123116119119113113110115114107111110110119120120119113109109110111113113113119118120121114115116115113111109119113113119127128129130133150143129130130129130141142143140139137142128128127127119118117123124123121119119118118119122123120116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177179181180180185188188186185185187189189187187999999999999999999999999999999999999999999999999999999999999999125129119120125126116110113115115118123123125125128128129132133134135137138139141143145146146145151154152150153153153153153151151151150151151151150150149149149148146146144142141141141141142143141139139138140138134139137133135133130137126125122118120121119118118124132126114110109108120109102107 90 87 88 86 81 98 91999 76 84 87 88 85 85 92 94 97111112116 90101105 98102105118127113114113112114122129130114122119115111111120116116117125115117117126125120119121133136131131132144135135134132132132131143141140130130130128127127136127135135139133133140133131138129131132136136134139133136124148135134133125132136133135138129131130128139138137137132127130131131128129137129132133132131140128132132131128129125128130130132128123121121120123130130137126132131129126126125122121140135132131130121121125124123123119118123126121123128127127126125123123118122116115112109109111110119117119120122125125112111122118124126117119119121120114115114115112114113117117119117126128129123124149151135131132133134134145144144143135144141140133132130128128126126124123117122129128132132124119120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174178179180179181186187184182182182183184187188187999999999999999999999999999999999999999999999999999999999999999999125118123123129124113113110112118121123123122127129129130132135134136138138141145145145145143145153153153153153151152153152152150150150149149148148148148149150149146146144144143142144145143142141141141141139137134133132131130129127124126122117117121120118130130129124112107111120115114103 99 88 82 83 81 75 70 84999 66 90 67 67 83 87 92 96100102104107 92102105111113116109120113122113113120121120125123122118117120104114114115120121114117118124127129118131134127130132133135144145134134134134135135135134133131139130141135138143141142139137140139132132138132133130142140138135139138130140135133124126126134136138134128129129132139140136135134136132134136134131132130134133134132144144133128126128127129128128128128124123123124125126125129127122126129128124123124124137135134133125126125124125125123121119115114122124126129129118122126124125125111115114114114113113119119118117122120125122119111111109116117119127130131132129122122122125124126128129128126129143144132135133135133133134136131132132132144145144145144135134141140131130126124125124119131134135134135136127127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175169177179179178180184183181181181180180181183187187999999999999999999999999999999999176176174173172172172172999999999126118124126128128115115111113116121121123123127130131132133135136137137139140146146148148143146151154153149151150151153154153151149148145143142142143143147149148148148146146146145143143144143142141140138136134131131131131130137136126125125118122121120137128125128126101 99101113105114111 94 85 81 76 76 97 85 93 58 63 85 86 84 88 87 92 98102103116107101102106112115108110113112127126123132128123114122123114107117116113115119113103116117120116126117130132126128131133134134133135134134135132134133133139132131130128139141140143133131137138135133136131133129129130135134131131130134126133133133126132136138139136130130130131131132131127138137141141136134133132131131135133132129134133129128127127126135130132133129125126125127124127128127132133130124122122122122122122122128129128125125126126122120120118124123125125125123121116122120120114114114114117115115114114113112118116109108112111113114113112113109121121123131133133130121124125125127131135134134133147134136135132134133133135133137141132145143143144135134135143142134134133131131130128137135135137138138130131124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172177179179178179182182180180180179178179182186188999999999999999999999999999174173174174172171170171172173174174999999136123123124123119122113115119121122121123127130131131133134135137140140143145146146147144143148153153151153153153154156153150148144141140137137138140144147148148146145145145142143143140139140139137135132130128128130131131132129125126124121120118135135129115101103101 98101107104110109 93 84 72 74102 99999 74 60 83 85 84 85 87 86 91101104104107107111113114112114117119120110110123123139139123123116117113121118118118120124121123118127123127127128132135129131133133134135135135134136144143140139139138139138140141128134144133125135136140135134133133131130130133131126130132131130132134133134132137138137131131131132134137138138135133135136133133133139139142128129130126127128129126129126128126134132126131134126124125133132127131131122132131123123122123123120122125124120120119124126125125121122116117116124125124122122120119112115120120113113120119121121114117116113112124114112113114116116115116119123122124123121127134138125127128127129134135137137137144147134132132133133138140143142142140145145144144133134135135136135135134135135132132138139139141139133133130128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173175178180179178179180181180179178178180183186187180999999999999999999999999173172175173172172172172171172173174174173153145140129128126121116114116119121123125124128131133131132133135136138142144145146145145141141144147151152151153154155155152150147143139139137137137139141144145146145144143143143142140139140136133132128130128128131129130129129125126124123121120118132122119105104102102100105105102105 96 92 85 69 71 99100 58 53 79 80 93 94 92 87 90 97103 99 98100103106115114119114115115107106121126128123122123111110129129128125127118119125126127127126131132120132135137130131133134136135136136136136135141141142142143142141142134131137143139138133138137136137132125124126132133126131131130129128133134134137139138138135136137138140135138135136133137137135133136136148129135135126125125123142145125127126132132133128126125126128129136132126133130125123124134126123122126121121127124125120125123123125124118119129126123124123122117116116116117112111122123122115116117117117113117122121126122115114114122124126124124122124124124126126127128139140129132131133134134138142141140141138146141145148136139140143143143143147147139134136138138139140139139138148146139140144132133138135134132131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175179180180179179179180179178180183186188188188999999999999999999999999999999173175175174174174173173172172173173173173173154137132127126127124119118121125125126127127129134134134135136139140141142142141141142143144145147148150154155156156153151147143141138137136138138139141144145146145142142142142138138134130131132129132133131130132130126125125125125123122120116127117107106103103104110109 99 97 97 98 92 97 91 82 87 98 78 83 78 78 78 93 92 68 72 93 96 95 97101102105115117118118118103104107128125127120109122111111127128129114125123128129120130125125127120126127133135137131132134135136137137136135143140143143143140142142143139139135140137136136137138139137134131132132133123125125132133129135135135139140140142135135135135134137140137136137135130132132133131139139140139137136135124124120136132121121131130129131132131123126126136136136130129124129147147138136121126118126128143132124126130133131127128124131128122123117116117118118122111113115121120116116122119118117119119118125125115117116117126127126126127128129128127130131134131134131131133135135138139141139140140141141148149145138142140138143142142144142142142142140140136141141152150150150151146135141143139139141136135133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176177180181180181180181181181183187189190189188999999999999999999999999999999170173175175174176176175174174173173173173174175175999136130130133129123119124129129128129129133134135135136137138140141141143145148148147148148146148149154155157156154150147145145144142141141141142143144146146144141142141141139138134134134133132133133134132130130127125125125119120118119117116113110103103100102105102101107 93 93 76 73999 84 78 60 68 93 91 77 91 68 84 90 77 92 94 95 98100101103113113115115117112106113116117120124120122121127126126129122124128121129122128127124127123126128129140139132134135142135136136134144142141144142142141142142143139139141140137137135139133134133133135135135127135126137136134135139135136139141145148144145137135134137139139138138137133132129137139138137138136122136132118118121132130131128128127127132132125122125125121120120132130130144133136138148138139142141136136139134125132132140133126124130130126124119120117113116115114114118126125126132132124126123129135133132125126125124125127127126130131132132134133133136135136131132132136141142141142141142142142140136153147148151138138139141142143145145145151142143144154153152153152141153150148134148139140144146140139138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178179181181181184186188189189189190191190188188999999999999999999999999999999172175175175175177177176175175175174172173174175175154131133133135127125120123128129128132135135135136136137139141144146148149150149151150153152152148149152155157157154152149147148147146144145144144144145144144141141141141141140139138138136132130135135134128125128130129124123122121121118115114115107103 97 98113110 99 97100100 94 81 95 61 69 59 93 92 90 89 91119 90 64 71 90 93 95 96 99101104106106108105113118111103112115118118122119120120108125126111143126133122133127128127124125126127128129139143132131141140132137136143142141140140147141142141142143141136140138139139138137134135134135138138137137137131134135135134136133135137140140141141143137137136137141135137136136129126138137138131131129119119131117129130129126129132124124132134133131129129123124123121142139132142142142141136142143133141140142132131131130137132138140130129136126123134132130121124115113115118119120126126131131123124132136133132134134126133127128131130130132130133136137136137138140137136139138138144143144144144143143142138138139147133138138144146146141144145147146154145146147154152149154150148143143142147147145142146147141143139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178180181182186190192192192191191191191191191190999999999999999999999999999167172173173173176177176176175175174174173173174175174164133134136132130120119123126126129132134133135135136139142145149150152154154153154154154155156153147152156157157156155152148148147147146145144144144144143144143143144142140139139139137136133130136138135129126129131128126123120119121116113108116105102109108111110108104102 98 90 85 93 60 92 95 94 93 92 90 99 66 67 84 86 80 76 96 96 96 99103108109107108115120116114110114114115116119125126110113111113141128120126127127120124125125126128129140130132130131133132130137136142142140142141147138139139137138137131133140140138128141137141139137139136136135135135128135134136137137139136138138138132136135138138142133134129131129141144144143137137135129132134133133135137134132131132130132134135134132131131132123129146140140140141141141141141141143137139142139135127125132132132135132130130137140137135134122126124123124119120128129129122126118125126130132134127127127135137130129132136138138135138139146137135126128131131131136143143145144145143139138137137137139140136137144143147145145145148149147155155146147147146146150146144147140140140146144146147147142141139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178180183186191193193192192192191190190189190192192999999999999999999999999168171170172173177176176175175173173172173173174175171161152144138137133131126125127125128131132133135137139141144148151152154155156157156155155154155151147152155158157156157155151149147146146145145145144144143144145143143142141140140138135136135136137139138135130129142138130124120126117111107117112102114112113104103 96 93101 94 78 91 60 90 96 93 90 92 93 72101101 84 86 87100 81 80 91 96101101103110108111103127127128117122113114113115122128112113117115118121121123129120121121123125139140139139137128128138140133136143141140138139139137137131132134134133130131130131130132133136133140128134135134139135135132131133137134137138135135136135132134136135147138140143148148149141146146145144138142139137133135137136136136135136120119125127135134133135131132142139144143136139138139140140138139142143141139138141128126122132135133128128126125133142127126136128129135134134132134128127126132130125128128129127129127129132139140138137138136137140139141144149140130128130131132132133141143142140139138137141141141135137138140142142141144149148148147149155155156147148148147148155150148149150140138144146145149148142142145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177179181186189193193193192191190190189189188188190193192999999999999999999166169171170172175177177176176175173172170169170173174170162157147137137135131125126126126129131132134135138141144148151153155156159161158158158157157154153150148155156156157158157155152151148146146146144143142144145147146146143140140137138132130127131129129124126126124132125119124120117114118109113104103105106103 97 99103 94 98 88 60 59 94 93 67 59 95 79 76 86 67 70 92 90 87 90 91 89 95 96105 99100107104108130135121110 94113121110111113119124107112116118121131121122124122121122125124139136138138127127127126138129140137138137138144138132131134134135133132131134135136137134144145139136134134134132137136138138137129134134134135139137137136133137134134137144146146146145147148135142139137124121122121121137136137136135134136129134132135136135133132138138145145145144143140132133139138137139138139137136136128126134135128134136130129129139130145111121121131138138136134135134132133133134136133136137137140139128129129142139140140132138142137139139150152145145145142142149154146142144142141137144149149137137135137140139144141143143146147145143144148156158145151150147146155153153151149150139138143147143146146135144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176180183187190192193193192192190190189190189188187188192192999999999999999999167169170171173175176176175175175175173171170170170172170167159147137132138132121128124126130135138138139142144147149154154155157160162161161161160161158156153150150152154157158158156154152151149147146144141143146148144141142141140139133129126125122119119112110113114126116117114118117114113107104100 97105107107101 94 97 88 91 80 69 60 61 95 72 91 91 91 89 94 95 74 96 78 95 90 90103 96102100106105105103105108125124135119104114130108112123125109112118121122122122123120121120120125126140134137136136127129135128128136137137137138133139134133135137138138132135136135136135141141141141139139137135136133133130134134133132131134139140139140141138143150138144153150150136138140144137136133139125139139123125124125123139136138137131131132132134133134134140141145137143143136135138132138137136136130130129139138133132132134127129135147138129131124129143130130122114126135129137135135134133134141134133139130127134131133131133140140139139137139142144146142145149146145145145144151145144142143146145145144149154147141141139144144146142144142144146147146147155162148148154145145156155155155154150151141139140148137148155154148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179181186187191192192193193192192191191190191192191189187187190192179999999999999159168168169170171174176175175174173174173173172172171169166163157148140134134129138130121127136139141142145147148149151153155159162163163163164163163163160157156153150150151153156156155155153153151150148147145146146147149146137133133129123121120116111114106106104104122121108111115113105107102105101 95 93 95 95105 90 86 88 80 85 78 93 64 97 66 68108 80 90 84 78 81 91 85 75 77104103106103107105107104105111110104104105110100 89110115117136139105110112118120122125122123124124122125126127139134132134125123128130138138139139136140133140143136137137139140139138137139137139137142145144139131139138135132132132139132133137136135137134136133132127134137130136136135137143135141133134135140127126125144138133135142122137136133130124132130130132125122128149145139138137152134136136133137135136137136131130132141140131132131136118121132138138131124124132117133123124116123124124123133142135139137133139140124127129129129130133135139149143142142148149143147143151152150145144144147146144147154143150149150152154152141141141141143145146147146145148156158151148147148151158156154152143155159160157158150140150150149153152152140138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176180183186190192192192192192191191191191191191193192190188186185188191192999999999999159166167167167168170172173173172172171171171171171169167165163160155149149147132131131128129137139142145146149150155157161163164165165164163163163164163160158156154155153153152154154157156156155154153150151151150149149142137132131127119118115113108106106119118113116116104105108110101103106102 98 95 90 88 91 93101 86 81 77 76 76 76 70 68 89 90 81109 74 80115101 80 83 80 91 80 98113104108110107107113112121111105105 92105100122105110111130117121107110116115119122126122119118121126122135138137136132119142133144144143141141126134138137137131133135138137134134137138138138144144144137134132140138138137137138136132134135133134134134148128125129142140132151148146134126133151137134130140129131127138136132137124121133141141138143135131134135123116115149150155136136137133133133141142142142137134133136137136140140134138121124119131122128128119135125125125116123120128132137132138138141140140139135135137134131133134132145148139144145141143145145143143142144143151144143144144146155149146148146149151148156156150151141141141142144144144147146156159149148147149149148146151153153155155157162165151149152151153153152154136136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176179183187189191191191192190190190190190190192193193192189187185185187191191999999999999163169165163164164166168168168169169168168167170169166165165165163160155149144138135134134134138141144147149152156161164164165165166165164160159159161162162159157155156155153154154154155155156156153153152153152150149145142134130125124119118113111109105103104102115117103102103106105102 94 98 94 91 92 91 89 91 93 91 90 72 72 90 92 73 69 72 78 74 84 83 81 82106 94 77 88 88 92 82 98109107102108108120122110125103116106110118122137132127127129119119 99105111113119123122121124124121127136148136137135136131135140138135134138138134135137139146126130131135130132133135147146144144143144141147142143150141127149141137135142134140139133135144131132131137143138144149148141143118137136136136138137137142142136136142140154135149151150134137145149158136135137133130142135133135135136143143153150141136143141141141143144144143143131133134143134135133133135127119119133142128139134148149134139144143143139136140138138139139140130150149150154149145145141142139140143140144147148146146153153156148148141146141140144158158151151143142142140140140140142146154154141144146146146145145143142142151149150135152149156157146135152150136148149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177180184186188189190190190189187187187188189191191191192192191187185186188191190999999999999164167162163162160162164165165166166166166167169169167166165165166163159154148145142141142144148152155159161163165165165167166167167165162159156156158162163162159157156156156157156156155156155158156154153153153151151149143135131124125127120111111108104106104106122122102 99 99101 99 96100 97 91 87 82 79 84 84 77 86 81 69 86 91 88 78 79 83 86 84 84 86 87109107 83 91 90 89110 82 81 96106105120120118120119126123128127122117 97134130122123122120118120117119118106114115136141131133137136141140133134131132130132139140141142134134143153145147129129132134135132145136143142149146147150154144143144151150148147145147141134141140138139133128132141141140145139145149150150123139141136147136147149139141151163165166165165157153155152143150157151151136151138135135135119134136133149149143131140139141145144142141146146144147133139139137137136137136135130131130141136137136142147154154142145143141143143144142142144142145144138143146146150153147146148148135143143147146146148149149151149153150146141147149141142142142147141143143142139138152138140142143146147143143143144143143141143136134138133141142153151145150151152152152154152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176178182185186186188188189189188188188188188187189191191191192193195194193192192192999999999999999164163162160158159159161163165167168169168168169170170168168168168167164160156153151151152153156163168168168168168168168169169169167164162158156156158160159158160159157157157158158158157156155156157156153151150149149150145140134130129124123116110108106106105106103105101100 99100 99 92 98 96 91 85 81 82 75 86 77 86 88 84 65 72 74 93 76 78 81 86 87 90 90 86104 97 96 97 94 92 87 83109104129119117117119117113127115113117122121123116146150141146121115108113112124120130127129128127133121136137136137138136135145138140131136133133141137137138128130130132141136138150147139138149128150147148150148149149140140141142142142142142140141134134129151132148149143145143150132139146143133147142132128125141150151158150151147146145159156156146148140147145138139141139128131129134141139143143139144140146145145144143143141144136137137138140141137140135131150146139138138147146140155157146143141144142144147144149143151144148149148148148150147149147147152159142153146146150150149143149151148136136137143136139141144155142148142142143142141141139134137140142143144144143142143144142140138137134133136141136147148148144151151151153153153 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181185186188188188185185186186185185186187188187187189190190192194195195195195193183999999999999999165163161156156158159162163165167169170169170172172171171169168169168167165164163162161161162167171172171170170170170169168169166165164163162159158159160161162161160160159158157157158157156155154154154155155151150148150146145142135131124119110109118107106104105104105 99 98 97 96 95104 98 95 89 87 79 91 99 84 82 79 76 85 72 89 88 92 78 78 87 89 83 94 86 90101102100100 94 96 88 85109111128126128116124116117111112119123121119124131141143143120118113115120122114125146122130149150137127134133132129136136134125123143134134135134136135135137128128135135131138127147146139138143135142141142141142141142140140141141143141141140140132136134130148147148147145143143146137140144137144145151142155139139148160149155158151147147156146158156145144144143129139135135135134140140143144144145143145144144147146145151143139138139143135140140143144139138135140141150149149134143146158152149145145148147144149150152154162154148150152154149152150146143143161161147152150159151142146141156159158136137145142133135137143154141143151151143143143139138139139138140142142143142143142141139138138138134134138141138139137138140154139145144152147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179183186186185186187186183183183183184185186187188190190192190193196197197197197195999999999999999999159161159158156157162165165166168170171171172173172172172170170171171168166164164165166167170172173173173170169170170170167165162162164166165163163163164163163165165164162161159155153152153153153152151154155154152148150150145143136129123123117119114103102102102100 96 92 91 97 99 93 97 87 90 87 79 84 55 51 93 74 57 80100 94 96102106 77 84 91 89 88 97110109108109107100 92 95 87 96104131130128127125110118118114124126127126124131133142120151131152148130119124124135133125133145149128130140127132135133142138133135140144157151141143145131134134139138136137145128148149145134137143141139140141140143141137147141140141139140140140140130152153148138146145146137150144142144140148146162143141153144145144171170149156157157159151145145146146142142144142146146145138140137138141144143145145147145144145150146149141138140142141139138144145139137152152142141139149135138140148145147146145144146147149151154153157159154148152151153153151154154151154159159151152161158151149155158158160160157145138137136136137138138142150152151144144143143153140151152148149150142141141141139140136151152136135152139138137136136138140139139139140138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173180182184183183183182182180180181182183183185187190192191190190194196197197197197188999999999999999999999149159156155158161164166168170170171172172173173173172172173175173172169168169170171172174175174174173170168166165164163161161161161162164165164162163163165165164163161160159157155152150150148149152151149150151149149148144139136131129123115108105102100 98 98 96 95 92 92 94 93107 88 84 88 82 88 87 67 63 76 82 90 89 89 84 76 75 85 87 90 87 94 97 91112110107106 97 93 91 87 87 96111134120130125117112117120126124125127137136136138142146125128118117118121124121108126127131130122124126128133139138146132140138140148149152154140136133143143143130131130150145146148144140136140141141141141139140142141147142140140147146147140140140147144146139139136137136136147151144137141141153161158152156155150161141132152151152158153149148150144146145146146148144154145142140141141142145144147146148150146150148147149145143142142142141139139137136135152149149153135138143146140144143145148149151155155155155155156158157157153152156157156157153153153153154154152153151152153152156156156157161159145150137137139139137138136144137145146143153153154153152151151151150149140140151153153151151151151151151136149150137136137137138136138139140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177180180178178178178179178177178180182182183183185188192191190191195196197196197197196999999999999999999999999161159153156158162166168170170172172173173175175174175176177175174173173173174175176175174174173171168166165165163162161162161160159160160163162162163162162163162160159158158157154151150149149148150148146147146147144143137136129130118113101101102102 98 96 93 88 93 91 90 87 97 81 78 77 85 73 75 93 77 70 84 90 94 87 76 85 89 96 93 93 86101108111112113108101100 96112114143139126115125122119118112115124127126125131134135137123127124122123128116106108106106122112127123123121126128131135135137145149147149149131138140141145140136142132151131136141154132149145141136138139142139138141141142143147143142142142148147147145146147138150151146149146138142146148145143158142158171170172160146151153151139142159149147147147145150152152153149148149150150145142141142142142142144145145150152151148147149142146148148145142144147143145146138135134140154154159158153142141145147147151153157153155156156154156157158158156150152153159157157155157156158156155153150154161151142155153155156146149150150140140139144143144145144139137137141154153152152148156155156148151150152153152152149150151149151151150148151136136136138136151150138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172177180179179178177177176177179182185188188187186185185187188188189195197196195196197196999999999999999999999999999163162153157160165168170171173173173173174175176176178177176177176176176177176176176174173171169167165165164163162161160159160159160158160162162163162161160160160158158156156154152153152150150151148147146145144139140143140135129128123105103105103100106109 92114 88100 77 91 84 70 67 74999 79 88 73 73 79103 96 91 80 88 85103106 90 89 96103117120108107112111117119117143128131129125120120119119121126125121130132133137139121123118103119124130113116108121132123127129128127128128131137134134141145139139141131140152162141140138154140156156172157143134145142134141144143142140141139141142143144145141142146146147146136150150156157156155151153140148161165155158175171171172158158158160156147143145146168162144142141144147147145155149148148150150141142142143141142144151148147151152149147147151145144147149149145147149147137138152135136141150149160157150147146149151153153156155150151154156156156158157159155155156157158156157157157155156156154152152153161150148159159151152147144144139147148146147147147147140140138138142147146151149147153153153148150152149148134140141145149152151151150148147150151150137156157155148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185177180180180180180179180181183185189193194194194193190188186187187188192195194193195197196999999999999999999999999999999148153160158163168171172172171168170174175176177179179179179179178178178178176175173171168168166165165163160160158157157157157157156158161163164163162159159159159156154152154152151149151149148149147146143143139140139134133131130119112110106103103113110118103 95 92 73 90 76 73 63 66 84 73 78 76 84 88 79 86 83 94 95 89101101 95 95111119119123105108109117112133128132128129128123120120125123124123118130110132114110137142123 94102123110112114118122124133126125124128127129129135133122134136147140141148142153156143143145140144141153158147158134148140140142141147141139142142142143144144143145150149147148147146150151153153155155154151152154165159158152158165145147151151153158158157151145147145147155143142143149149141148153152145143141140138145140143142144148150148154151151149149149150149149148153150146149148144145162151151150152161159152155153153147157155157157161155151150153152158157158160160158158159159158155159158160161156158157159155153155158153160160157158157148143147146156156152147146138146151136136138138135136143138145145149143150149148150147150150150150152150154153151154152151152152149155156153 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169179179180181182182183182184187191194196197196195195195195193191189188189191193193194196197197197999999999999999999999999999999154156159160166169170169168167171175175177179179179178179179178176177176176174172169166166165163164161160158156155154156155154152151153158161161161160158159158156153151151150149151149148148146144145141138137134135135135132128118117112108103 98113108114 83 91 86 74 78 79 76 71 86 79 85 79 79 93 70 73 83 85 90 91 92 94 93101104 98 97108110110109114115116137136133125128125122126125109104102100105115109106108127128125117113105110111129126129122125125125126130128127131130132131127132132137140149137156173154135146142134132137155146161157155143147143140144142142140141142144144146144150147151151149147147150152155155155155155148154151165164159158157142153144150155154158159159154157156153150146145152153150147153150150151150152151135143148146148150149148151151150155152151154144141141149150150152152151154148147150151154155154148152151155157155154156158153155159156157157161159160159159161161162164163162158160159165165160162162160158160154151161157157157157157156157153153149156155155149156152148152152145139138137137143146147143151151144144149149149150151151148151155153154155153156157156155153157158155152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184175176178177179182182183185185189192196198197196195196197197197196194191190190192193196198197197198193999999999999999999999999999999153157159159160166166166167170173174175176179179180179179178177176176175174172169168167165162161160161160159155152153154155154149151151150154158160159159158156154152148149149146145143142143142142142140137136136138135128124119119118112110106105115106112105 91 99 83 82 75999 84 87 95111105108 77 78 77 93104 89 93 89 89 94 99 93 94103107110117115107102141121133135131129130128127117101 96100101100131109100110127129115120115107111126143122125117119125120119128131130128131127129130134135136121152129137145135149133139135145140143140158139164171150159143142140142141149151151146146153154152151151153161160155157158156155152157159151160158159155155149149154167161161159163164161156153157158150145147146155154152154154153154151148153149150152152154152149149154154154148151146149145144145149147152152153152150152152152153151155154149152150145149149152153152156164155157158158163163161159160162163164164163162162163163162168167163162165165166161162164162158158158158159159151154149154152150155149146147154154148148147147147147147147147148148148146140143151150149144149149151152151153157156156157158156156142144141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183174176176177177179181184185185183190193193196198198197196197197197195193191192193195197199200199199199999999999999999999999999999999999150157163159159161162164167172173175176176176179179179178176177176176174172171170169167165162161160159158155154152151149148147146148148147149155158158157155155155151147148145141138135137136140141139136134130134137132129124119118118115109104101 99107110101 84 90 82 82999 87 93 88 83 96 73 96 95 82101 87109 90 88 89 90105100 94 92100 94106108 97 95109111119134136121133129122122100119 93 93103 99105110109127129129116124123110113125113115125126126128129129129129131129125116136127136132133137159158145147164169136146145142143141155157179174173159149150142141140140149151153151148152146143146156155165164165165165164159157158159159159161160163163158152153161159156152152152153154152154152148145148147145149155155151155155154147151144153151149155154153153154155160154150147152150149151152147143146152153153144147150149152154154153148146145156154153154157157150153154155160158161162163163162163162164161162162159159163163163163165163162163164164163162158158159160160159161152151154156156157155155155157152151150150153149150149148148147146149147145143145145142141147142146147156147151149150141157157157155155156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173176174175177183186187188186184184189193193194197199199198197196195194194195196198200200201201201198199999999999999999999999999999999999999144163165159161160162166171172174177178176179179179178177176176176174172172171170168167163160161159156155152151149148147144143144146145147150154154155155155155151149143138136134135137139139138138137135131135135127124120114116117116108101 98 95111105 89 93 94 66 71 88 89 94 85 93 73 73 88101100101 87 88 89 95 97100103100104 93 91 91 93 91104105101 98103104 80 82111110 98 97 94 94 94102102106110129122128126128121126131128123116125124125119128131132130130138131129133133129134146145133146162157152138166169152142141144143142159182163169167150155152154141141142152152155153146145146147152161168168165163164163160160158158156162157160161164164160150149146146152158157158151154155152148148154155156152148152155155155149156153152152153150151152153152158161159165158147149155155152153152155150146150148151150150155152152153154152151151162157148148154156158155154157158160162163162163166166166163165159160164166166165164164162161164162159161164164161163163164160155158161157156157158158158158157156155149151149152154155156149148149148147148146147147145144146147146147151151154154152150139145159159159156156158 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183173175174178185190193193193192189186187192194194195197199199199198199199200201201201201201202203200199999999999999999999999999999999999999999167999999160161162163168170172173176178174175178178178177176174175174174173172171169167163160161159156155149146146145143141140142143143145148151151154154153153148145139135138139140141140139138136135135132133130125123120115114117104107102102 96101 98 80 87 94 92 87 95 98 97109110 90 88 97109109 93 92 93 97101118104109 97 98113113110130112110105101 97 82 81 78 76101 99106 94 91 93101105111110122125128130128133125129128127126118122122127115118123131125120117163119131136134139146145137136158160146152154155140142145161160160158158157160160159158157157144145152155155156156154157155155156162167165166166166163161153162159155163158161160156162160152148150152153154168163165163162154151152164162159156153153156156156148154152152161160159160154154158157156158162161159157159157155155155155150150149152150150147146147151153154154149156161155147158163154161165165158159161164164163166167166165170168167168170165165164159163160163161166160159164163160161162159155158157157161158157151154158158158157150154159158156152152151151152151148149148148148147145146146148149150151151154155153152150150153152153153153153 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186174176176183189194194195194195194192188191193194197195199200201201203204205206205205205205205205202200999999999999999999193192193999999999999999999999160157162165170176175175176177170172176179179178177175174174175175174173171168165161160159157153147144144142141140141142142142144146149152153154151145143141140138138141141141138138138135133133135132131125123120113113104101100100 99 93 87 84 79 85 83 74 74100103 74114 94 92 94 98109 95 97 98100104122139141130 96117114117 98120112113114103 84 82 80 94 87111109107 95100106106113115124125128132134134136124139133137139116131142126134119123133135137137136147141135135141142139145145155152152150157138137148143162154155162158165163159156156159155155157162168170169162161157169160152157159158165166164162160164162160150148153151152151150160163154160157154153163165164164162155153154163164163158160155154158158160158156153155154160160158156165162159158158156159158159161158155155158158156152153157156155155156159157155155156155153150150160164160164163163161162163164167164163165169169167166169168170164161161159166166162159161165163162162158159160160159159157156155153157156156151151155154158161157154153154157157155152153153152153151149148148149147150150151145149151153150155153154154154145152152153 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174176176179182187191196195195196197196195192191193195197199201202203204206206208208209209209208208207205999999999999999999191189190190189189191189190999999164157162164167175176175176173169171172176179178176176174174175175174173172170166161158156155152147145143142139138140142142143144147150153153150146141142140136136136138138138138137136137140139133133129123123117112103108104114116106 87 85 94 95107 75 73 71104 99108106 95 99104 93 95 98 98 99102119125117117138120118118104118111110110110116 90109 85 98103110 99 98 99107108111124126125124131134136138140139142133125129134141143146143147136139140141141147147144136140143143143147149145152138140140140145148163179161146147159161157160158157156159161162169170173173168165160158163163159160160159161164161160159159159149156142144145148155156157156162158158158159160158158156160155158159167168163156159163160158159158159156163162162162159157159154153158156154161160160157157159157162158158157159169158155158157161159156154154156154156157166164163164162161162163163169169166169167168170170169169169165164163164164166165168164163166168168163159160162163160160158159158156158157157157153154153157157155156161157155159155155155157155154152149151151149148151149148144146150151151154153152153154149154154155 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174175178180183188193195196196197197197198197195195196197198203204204204205207207209210211211211211210208205999999999999999999189185185187187189190190190999999999162156163165170172173175174171170171175177178177177176175175175175174173171167162156154152152149148147146142141140141144147148147147149147146144140139138138136138137137136137136137137137134131129123125122115111102 95 98 94 89 90 85101103 95105 80102 92100103104 99114112 97 96 96 97101105118118140119109108106 94 98120121110113112121116 92 89 99 83 95100122 99 99109128127126127130128135136137139144128129127137145141146151137150127147155155143136141161150148143140142144147148136140140145156158151153158159149152159159159161160160158161163164164168172170169169165168165166166165165165157163160160159160160153153153149155155150151153158158161161159160159160163166167164157156161161159159158158164157165162166162162165163164159162158165164156156154165163166167168167164164161171162166164169162157159161164162160156159163161158159165166166165163165163164163169170173169169170170167169166165163165165163169168168167165166170166166164160161163165164162161160159160158160159158159157156160160159157157157157162157153157155154152146148146146143151150145146146150154153151154154148150146154156156152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183177179180184186190194195196196197199201201200199198199199201205205206206205206207210212212212211211212210206203999999999999188187188189189189189189189190192999999165160164167168171172172172172171172175176177177176177176175175174176174172168161158155152151150150149149148145143144145149149147148148145142145145142147141139139136140137139138138139134132126127127126122114105101104 99 95 85107103112 96 92 89 73 94 98106108 93 92118118 98 98124 96108116121120120113109 93 93 94119119122124123111 95 95 93 91 92107114114103101127140125121128130132132135137133136141140141147138141140140145130132143155155154151138151143151145149143142140142139137141144160159160153167166166160161155159161162165165164164165165166156156168166162162166168166169168165164156158162161160157159158155153152156157160157159157163163163158157160161164169168166169159160165160159158161160163162170169163166166166165166175164162161158160159168167169167170169171164169172169165168164163164165168168163162161161162161160158166166170165163164166166167168171173169171168167170168166163164165166168167169168167164164163164165162159161164165164163163159160160161159159159158158158159162159160160156152160156158157151151150149145146149142150151145151153153154156155157157153156158160159158155 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173178179181185191193194194195195197201203204204203202202201202205206206206206208211212214214211211211212210207203999999999999184188190190189190189189188189190999175163166168168171173173173174174174175175175175175177175175175174174174173172169164161158156153150150151151148147147148148146148148144147147146147146142143143146145140143143141138138138134128123123122123119113109108102 95 92 90112113110108108107103 96102106 91 93107118 99117115112101115119121120121 97 97 96 89116118118109111113 97 95105 95116106111106108139128140132135139141133128133138141144141137138138142139139146139148133155146152143138152140150149149154146147144139147147141146147163164164168163167161153162162163161168168166164164166165162160160158158160160180166167170167166164166166157157155158154157153154153157158161158160162162160164165161163164163168163157161153159162160159159161161154157158158159162165154163164178164163165162161166167174169166165167175173171170167167163160162165165168166167167166163166166164165166168168169165166166167168170171169168168168168169168167167166169173165169166165162164162162164163162163162164161162163163160161162158157157152158160159162163156154157157157157158161153152152150148146150147148149149152152152155152155159155155154158159159156155156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173177177180186190193193193193195200203205205206206205203203203204205206207210212213215215215214213212211210207200999999999999186188190190190189188188188188187165161169169174175177177177177177176176175176177176177177176176174174175175175173170171168164162159156154152149148148146146147145148146146147148147147148144144145149148146147144142139143139134127121127116999999999102102100 99 96 97 97 86 81 81104109 99 82 89 89 89 94112123119133101131128117121122120 97125122121106110110109123123 99 99100104104119117107105105122118138135139143143131130136140137142141133141144145140135151154150145154156142154148159145138150151152147150145145148141148145149152165170175162160156159164162163167168167164167166161161158156159153161160160165167170166166170168168168165161156157155155157164164164164161164162164162161162167164162163157156160173165162162161159159158158155159154156156156164152154156156169168168168168168174175177171169171172176176177175172168165162161162164165168169169168169169169170170168168169169166166167170170169172173171170169169168166166170165168171168171166165164163167165168167164167166163163166166165163163164164164158155160160158162161160160161158157158157159157157151153154152151150151153153158158157159155156157158159159158159159158154154 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185173178180183186188190191191191192197202205205206206206205205205205206206209211213215215216216216216215214212211207201999999999181185186189188187187187186187187186167169173176178177178178178178177177177177178177177176176177177176176176175174172171171172171168166163161158154154151149149151153153153154151153153154154148148149150153153155153144146141139132127125999999999103105109105100 97101 99 97 99 82 79111113101 84 88 89 89 93115118118124121120119119123118102103105119114114113124124119120106102103107104121114111116125153154134144144143129129129135136138141145147137140149147147148146148145149156157149145143140139150148156150139162155156150152158167160159170170158163162167169167166171168163165162162165163162159157165153159162164165167167165169168169167167161163157162162166163161161162164165162163165165163162162160159161157167166167166170167162160159159164165158160157161157159158160161166163163164165172179179174172172172170175176179183177165166165164170164170169171172170170171171172170170168167169168167169169172171174175175173170170170169168168170168170166167166167164166164167169168167163167164164165166165165164163164164163159160161161163164163162163162164163158155156154155155155156154153154159158159157157157157158160158156158158160157156158157 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181184183184189192195198197196194192194200203205206206207206207208209209210211213215215216216217217217217216215214212208203192999176179181184186187187187186186186186182174174176180178177178179179179178178177177177178177175176174175176176175174175173171172173172171170171170167166160158157157153154158159160157158158157157156156154153153156154148146145141137116111999999999 99111109113104103 96 99 94 96 83113104104104 89 86 89 92 91 98104107120132119120116120104103117113116117128120119132131116104104108110113110106105124157153158158150146129129128128133136138138131152151145143153155155156160154153158159151151147145143149150154153151155161169154154151161176173165184164169169167170168168166170169175171166166166165166168166166162165167165165166166168169165166168168167163163164167164167167166158169172161165166168163162163163160161164164170169168169168163163161169160165159159164162157160165169167169169167170169170174173172174176171176176169178170169170170170173172167169170172172170172173175174170168168170170169169171170172174174175175171169171170168168170170170169168167165168168167168169168168166166168165164165166165165164163161164165166163167163164164164165165165165160159159158158157156156156158157156156158158158159158159159159157158162158159159162162160 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180184185187190194198200200198197197194199202204206206207207208210211211212212213214215216217218217217217217216216215213210207201189180185178181183185186187186185185183182180176181181179178178180179179178178179178177178177177176174175175175173173174174174173174174173173173172171170169167166166164164164165163161159159159157155156156156155156155156148143138134999999999999113115111109109103103 94 91 84115 87 92110112110111 99101113111116125118127130128119120117107105118118124119119123124120116121122113113118115114111117113164139163161153147139139132130136138140141150153153156158159160161157154155158160161162162160154152142152154157159158166166161144146159184176180186167166167170166170170168169169166163169163162164168169166163168165163166166166167167167166166167168169168171170169166169167167165169172166168166166173170168166171169170171170170170172171168172174172168172173175175170162168173175173174171171169169169168166170173171170173174170174175174174173169172173172172176174173173176177177169166167170171169170171173175172173176175177172169172174172172170170171171168169169170170170168168168166166166168168162163165166165169167168168167169163163166163165162162164164161160162164166163160158157159159159157158156156159159158160160161164159163164164165162165163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185183187189190193196199200200198197198200203204205206207207207209210211212212213213213215217218218218218218217216217216215213212207203199200183177177182185187185183183182182179177181179177178178179180180179180178177177177176177175174174176175174173174174174173173174174173173172172171168167168167164165165164164161160161159160160160162160159157156153144137133999999999101113119115110109106 99 97 94 92 89 91 94 98102103111102116118118119116127128130131119122124125111126123127122125123118121119121130129115119114118124122118117123118147141138150133132120122145132145147149144141149150160150151141147149154153158157156154152154148150159160166166164163174159158158181177179165166165165178169179176172173171164164170169161162161162168166171171170170170174173171170168166166166169169170172168168169169167164167171166167169170176177174175174173179173170167173171175173177174175174174170169172172170170173174174171166168163169174175175177175177174176177173173178177172172174176174170175174175173177174172171173172172173173172172173175177173173177177176172172175174173171170172171172173171170169170167168169170170167164168170166166166167168168168170170171170165164165165169167167167166163164163164164162165166161160163159157155154157163163156154160157156158157159163166164163161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184180184185188194196197197200200199200201203205206207207208208209210211212213213213213213214217218219219218218218216216215216213213212209206203199189173181184186184183183182183182179180179179178179179180179180179178177178177177176176175175176174174173174174174174174174174174174174172171169168169167165163163167168165165165164165167166164160164158153145130126999999119124129127119114107102100 97107104 94 90 92 96101104104103105116122131130130130130137138124130131129133132130129125125120121113123120119118109129119121127122119136133126146153156150126124139140144135150151133147142145149151149149147151159160154157160156148150155149164168168168159171157173174149162165165168164173175177178179179172173184170171176173168166163164159170164169172172172170173173174173170167167168169170173170171170169168166169171167170171174171172176177177176174180178173172173177174176175174173177174175177171175172167174171168168167168164176173175178179175176176176176177176177176175176173177174175175174173175178173176176174175173169173171176175176177178175174174178175174176175175174175175174173172172171170170168169169165169167168171171171168168169170170171169170168169172173176168168163169166162163163165167169166165165164160171163161156156162162158159165164160158159160159158160158161160 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168186190184186188190194196197197200201201200200202205206207208209210210211211212213214213212213214217218218218218218218217216216217215214213211209206202198188179180181183182183183183182181180180178179180180180179180178177176178178178176175176174173174174174174175176175175174175175175174172171170170170165168167167165167166167169171171167169999166166162153147147131132129113125108118114109106100101 99114105104 94 97 99104120120121118123127127133131133134130132127130131136137138135134119125118123124126117120119119121122122121125121130133138167160156132133137143146134151151140143141139144147148152155150154157161154152151160157159173175172173169168169169162156154160163165166172169177166169170172174173170170171175176174173175170170167170170171171168170174175175172172171173174171171171176168170173173172178167174175176177173175177176177178174174174171177178178180181179176178182176174175177174168177167173179177175172178177177177178174175181177178174177183178177174179179176175176177176176177178179179179178174173172174176176177177177176178177178175177175174176176175175175175174173172173173171170170170169169170167171173173172171169170172173173170169173170176178174171169169170167170169169173169172167168167169169165161159161162163162163164167163162160160162160161162163160164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180183184185181184187190194196198199200201201202202203205207208208209210210211211211211212212213214215217218219218217218217216216217217214212999211210205203200196189179178181181183182182182180180180179179180181180180179177176176174175175175174174173173173173173173175175176176174173174173174172171170169168168166167169169169168169169170170999999999999167163161138128127130134118131129120117110104101 99102115 94 94109100103118129122123123132127129129132129132123125129132131132138140138130126129122121123125121126124129122126123127142134137135141167160161149147146134137131140141143146148144151152152159156160162160161165161158161161164174173174173170172169163161174157181160162168165178177177177177171173169171172173174177176175177176175176175175172173171171173172173174173173174174174172173174172174173172175176174173169176175173174175173173174174174176176176173173176176175176179177178178180178175175181175172171177177177179179181180177171177180180180178179183179178179179180178179181179179177176175176176181179175175173177176177178178178178179178177176179176177177177178178178176174169174169172164166171172169167171171171172171171169169170174173173174176176176177179178176177175173169173175175171172166167166167168168166164163163161162163165168168169169167166166166163170168167167 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182181184184182181185186190194198199200201203202202203205207208209208209210210211211211210212213214214215217219220219999218217216218218217999999999999999206204202199194188180179181180182181181181181181180180181181180179178175175175174174174173173173173172172174175175175175174174174173173174172172171168168170168167170170170999167168169169170999999999164167161155125134128128118138135108123127115111109107111108123125126120117123125122126122124125113125132131136126129133133133136135132145145140136128129129130128128126137127133129132129134133142142164165161152150136138141131135143144147147145148151158174177163171168172177168171174171178176174175168175164164156154153152162161162176171173172176174174174174171173173174178179175176174175172174179180180180178177177174174175175175176176178175174173173175175174189176179177168170177177175174176177178177177178175179174173177174177178177179179177179179179178179180175173178189182183180180181178177180181179179179185185184186183180182180182181181181180178178178180181179179179178180179180180180179180180178179181178175173175176178178178177172171171171171169170173172174174172172173173171172170174176174172173173175178177177174178180180182182175175174174172174170170171169170169166164166167166165164167170171168166167167168171171173168168169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183191185184185183181180183187192198199199201203204204203204206208209209209209210210211211211211213214214215216218219219219219217999216219219999999999999999999999204203200196192181176178180181180179177178179179178180180179178177174174174174174174173173172172171170176175174173175173173173174174173172170169168168167169170172172175999999999999999999160158163165161147139127139131119141142136131122121113114112112114111120122124125127125126123115117133129120132136137138129132131136137136132131144134140139136135135143136134139145136132136157130137138153144164153149136140137136141143143144142145142146161165168170171164163166172172171172174179178180176173171177176155157178182163163164175170174176173172175174175173172176176177179178176176178175176178181181183184184183182181182179178179178177179178177174176176177192179180180179178176177182177180179180178177180176176182179180179175181183181194180183181179180177179179180180181184183181182182182180176179182181182185185187188187186182186184182183185185184183185182182184182181181180181180179180180180182180179180182180179176176175175176178177171173173171170174174175175175175173175174174174172176175175177173176174177176180179180180183182179184178178175176174174172172173171169169168167169169169168167170172172168167168172168170172173172172171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162183189184183183182184186188190195201201201202204205205205206207207208209210210210210210210211213214214215216216217219219219220219999218220219999999999999999999999999205202200195190176176179179177177177178178177177178178178177176174173173173174173173173173172174175173173173174174174172173174174174171170169168169170169169169999999999999999152154156164161161159157148137129162134142124131134126123120114116116114115124126127127124130129118118120138135125128140140138139129134136135135135133134133135139150152147147147147142148145158143145159131149147151144141148145141137143144145147142142143144159161166167170173166170177180175171176170174182179180180177177176176163174172173173177172172177175175175175176177172173177181180180178181179174180176177182183184183184183184183185186186186184183182181181182179178178180180185182183183183183183181186184181177177178177178180180182181176186188188187184183184183185185180179181185184184182184184180179179179177177182185186188187186186185188187188185186185186185184184184183184184181182181181183183182182182182183182183182181179180180181178181178178173176176175175175174174177177176176176178177178179178178176178175176175178181185183184183183182181181181180180179178177176173176174173172171170169170172170169171172176175171172171170172172173174174175175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180184188189189186186186186188190194198202202202203204205206207207208208209210211211210210210211213214215215216216216217218219220221220220220220220218999999999999999999999999204203199195189176175176176177177177177176176178177177176175175173174174174173173174174173173173172171172172173173173173173173171170169169173174170169999999999999999999150149152158156155152147149141139141141139139127134129128125124122123132130124125127129130131122125130130126134127128132142141144144140141141137136136136139139144144151151151151163163160153163162157154152148149140147145145145147141141140148149144143146156150163161166165168178175171180180180179175172179182182182180181175174173178179170179181174173173175178178176177175174173173180179180181181181180180182180180184185185187187185186186186186189191191189189184185185184184184184183186183186187184183187184185185181179178181180180181181185193191184189188190185186180183183182181181181181187185185182184181180177178174180187186185183183188189190190189189188188186187183184182184186184183184184184186186186185185185181183184183184182181181181182180179180178177177174176173174174174177177177179177178180178181179178177178179179179181183183183181183184185185183185182183180180179177179179176174174174171169170171172174177176175175173173172173173174173173173175177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174190186188189189189187187189190193197200202202203204205206208209210211211211211211212212211211212214215215215216216216216217219219220221221221222221220999999999999999999999999999203201198194187181175174174175175176176176177177176176175174174175174174173173173172171171171171171171171172172172173172172172169170173175174170168999999143999145147149149148149142142136133133146137140137141131130134133128128129135142138132131131132133135129129128127138129131136135145144145146149149142142145145142144144145147152155160159162171170168168162160161161145144144145156154152154152150147146150150146147170154164168170172170176178172178177176175177178178183186185182181178180182182180176176178181174178178176177178176176180180178181180179181182183183180181182184186186186188188188188187188189189191192191191190188194187187189188187187185186186200199184185183189184189183182183184186188187192192191192200191191187188186188187186186186186189189185182185183178180180179178183187185188188188188189190191191189187188186186184184184185186186185186188187185186186186186186184184185187186185184183183182179178178179179176178176175174177178178177179180180180181182179179179181180181183182183182184184184187184185185187186187184183182182182180181179177177175174173174174175175176178177174174175174175175175175175178178177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177182184187190192191190190189188192195198200202202203204206209212214214216215216216215213213211211212213215215215215215216216216218218220221222222222221220218999999999999999999999999999200201199193188181175173173174174175177177177176175175174173173174173172171172172171171172172173172171171174173171172172174174173174171168999999999146144145144143141140137133131130130138133137137138137134132133132130129130136145139142145144143142139139140133130130134137139141140146146144148148149142144144146144148150152152153161161158161168162163161164169164150149153145158161159158160153151149150157153152158158159169171175177178177175173171174175185180178179188187185185184187181182181180179179177175175175175177178179179182183183182180181180181181182184184183184183187189189190191191191190191191190191191191191192189188190190192192191187188194192188187187191183184187190187189189187188192194192190191190191191190191188191192186187188187190189188187187186183184186188187186185186190190190189191194192194189188189187186189187186187187187187188188189189187187186187187187187186186188189186186185183181180179180181181181180180178178178179179179180180182184183182180179179184186185186186185186185186186189188187189189188186187186183183181181180183180178177177179179180179178174179180178177177176177177175177178179179178 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169180183186188192193193193191192191193196199200200202204207210213217219219220220220220219217214212211211212213214214215215215215216217218220222222221222222221220999999999999999999999999999999201201200198192189182175172174175177176174174174173173173173173173172171172171171172177180180180177175175177176176177178176177178176999999999145145142143141134133140130134132130132131133134135134134136135132132131134133143149147148151152151150148146146140144141137145149144148150148147148148151146147144149148154158159155157155158162164165177178162162167166173173171171163159165165163163160156157164163163161166163171173175175177175179181171177177179182182181187187186184175185179180183183180181178175174175177177180179183182184183184184185185184185185186186186188189190190190193194192193192193192190192193193194194194190192192192191191189193194190190187193193189187189191187190188187183188188188186189186185187182190189193189186191188187185186187188188188188190189188191189190191194192190190192193194191192190187189189188187186187188188187189188189188187188188190189189188188189189188186182183182181183180180181183182184182181180179179180182183183183183184183184183181181185188186186188187187190188189190190191190189188187186186184182184182181180180181180180181179179180181181180179176177180179180181181181177178177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156180183186189190193194194194193192195196197199201203203207211214217219221222222223223222221220217213212212212212213214215215215215217218219220222222222222222222220999999999999999999999999999999999203202202201199193185175173172172172170170172172171172173175175173172172174177183189192193192190188186187186185187187185182177999999141142141141140141135141140137132133129128132133127132135134136137135136136137147147149151152153157157155155153155150153152140142151143146147150153152150145148151150150151153159160159156161161163168171172159162166171174175172171175175176172170171169167166164167170175167166168165170178179180175177178174174177182183186188188188184186178184178179185185180183181178176176180181179181184184185183184185184186187188188187188189190192193191193195196198195196193195195195197196197197196196195195194194192193192190189191191190188187189188187187185187188184185186186188187188191192187186190190190190192189190189187189189190191191190192190188186188192195192192192192194195193193190189187189188188186188186189190188190191190189191191189192192190190190191188186186184183183183183182181180182182183184183181178183182183184183185184183184182184185186187187189188189191193191192193193193194191190191191188188187186184186186185184183183183183182181181183179183180182179178181183184182182181182181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178180181184189191193195197197198198199199200201201203204206210214218219221222224224225224223222221219215212212212213214215215215216216218218219220221221222222222222220999999999999999999999999999999999999201203203202198193186178173169168167169173173172171174174174173176179186190196196192192192191191190190189188190186185165999999144143142137136138136133140140127131127128128128135135136137138139139138140141146150155156154157158160160159158158157158160156149153148146146153155153151152154155151151150151156156161160163166154162170177174164170165169177172174171178178175179178177172168172177179176178172170174172175177176175184184179179178179180184192190193188186189186187186187187186186183183185183184183188185187189189186185186187187189190191189190188190192195194195197198198198197198199198199199198198200199196198196196195195194193192192191191188189188189188188186188188185187184188186188189187190191191191190192191191191191192193192191189193191192192192190190190188188193194193193192192194193194192190189190190193192190190191191192189192190190191191191191191191192191191192189190190188186187187184184185180182183183184184182180183185184185186185189190191187186188190189190191194190190193195192193195195193193192192193193192189189187187187187187186187189186185187187186182182185183184185183185185183182182183182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168177181184188191192194197198200202205206207206205204208208211215219221222223224225225226225224223222221219215212212213214215215216216217218219220220221221221222222222221999999999999999999999999999999999999999999201202200198192187183171168166166168169172172175175175178184194199198191189189190190189999999191189190188185175999144143143141137136131132132130131139126124125124125130132135136140142142142145144150154158160161158161162162163162162162161159159159159159149143146152156153154155150157156154153152161165164170163163165169172170167168180180171173175176183182183182182180180179174185179182183182175173177179173173174179179185183185184181184186190192193192191188186188188189189189188190187187185190192191191189192190189190190192192191192193192193193194196196196199200200201199200202200202202201201199201202197198197196196196192192192192193189191190192191187187187188188188187188189189188191190191194194194194195195192193194195195193192192197193193192192193190191190192193192194195193196196194194193192193192192195192193191192190189192190191190191194191192190190188190191192191191190186188188187185189185186186186184185184184184186186187185187191192194194194193193192193191194196195194192193192194195195195197196195194194192190190188187189189189190190190190192195192192191190189186185185187185185184184184184182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169172175178181185190193195197198200203206209210211210209208210212215219222223223224226227226225225224224224223221218214213213214215215215215216217218220221221221222222223222999999999999999999999999999999999999999999999999999197196195196193189179174172171169169171174176182188197197195190187188189191189999999999999999186189186162148151146144141137135133133130130131131129126124126127131135141141141144148148149153156159163163162164163163165164161161162157161158158160157155151150156155154151153153158163163164164163165166166163164166170169177177179178175176177186188187187186185185184183182174185181184181184181176176179178180180183184185187189189188191190193192193192189192192191192191192192189186191189192192196195195194195195192193195195195195195196196196195196197197199200201202203202202201203204204198203200202197196197196197196197197196199197198198195194193191187190189190190190190189191192192193192193196197197197196196196195197195197195196197195195195195195194193192193194196194195194194197196196196197197196194194195194197195194193191193194195194193193193195195194191192191192192193192192191191192191191190189188190189190189190193192196194193192193195196198197198197195194195196198197197198195195195196197198198197193193192192193191190191191191192193194192194197195193192193192191190188187188188188187187187186185 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167171172174177181186190193195196198201205208210212212212212211212215217221223224224226227228227227226224224224225222220216213213214215214214215215216218219220221221222223223221999999999999999999999999999999999999999999999999999999999192192194192191189187186181179182183188191196197188999187188190189188999999999999182185184190184173157152150145141138138136131132131130129127127124131135139143146146147151154154159155159162164163164164164165164163161161161159158157155154154157159154159157150152154157161168170165168166164165171174176170169172180184182186189189189194194193192189189187184193189190188184184183181180179180182181183184185187187190188192191189189192189191191190193193195196193192192192190191193195194195195198198196196196196197197197197196197197198198199200198200202202203204202203202202201202199202199198198198198198198198199202200200198196195195195194193192192193193192193193193193195195195196197198197197197198197199199199198198198199200198198198196196195196195196196197199200198196198197199199199197198195197195195197197195197194197197197199198197198197196195197193193194194193193192192193194193191191190191191190190194195196194196194196199200199199200201200200197198200199199199199197197197199200199197196195192193194192193192191191191192193195195196197195195194194192192190190190192191190189190190187186186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169169170174174178182187191193194194196201206209210212213212213213215217220223224224225227228228227229227224223223223221219216214214214214213213214214215217219220221222223223224222999999999999999999999999999999999999999999999999999999999999999191191192192189191193192193193195197198999999185189190191189999999182182181180179181180181171158152149144141137135135130132142141128128128133139140145145152155158158161164162162162164164166167165166165163163163161160158154154153153150156161158164157156157152158169170166164164166167170173170170172174179183187187192192193193196196195194192185187185188194191189187185187187184183184187188190188188192191192191189194192192191193193194192197196198198197195195194194197196195196197199196196196198198199199200200199199199199199198199201201201203204202203202202203204203200199200198199201200201201200199198200199198199197196195195196194194195195194196196196197196196195196198198200201200201199199201201200199200201200201200199199197195198198200200200201203203202199199199200201199198199200197198198199199199198197199199200199199201200199199200203201196196194196195195194191194190191192193194194195191195196197197199200201203203204203202203202202200200199199198199199198197199199200199198197195192192192191192192193193191192193194195196198196195194194193192192192192191192191190189189190189188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174176175176179178179181186190191192193198202205208210210211212214215217219221222223225226227228229229229227226224223222221219218216214214214213214214214215217219220221222222223223221999999999999999999999999999999999999999999999999999999999999999999999999999999191192194195194196198999999187189190191191186999182180181181180179181183182173159153151146140135134132131142141140129133135139142143151154159161162162165164164164164165163166165164165165164164160163162160156156155157154155157164163163162159160160167164164165167169171173176177173175176183185194192191193196197196195193193191185187188188195192190188187191188185187187189192193191194193192192193191192190191193195195196200198196198200198198195196197199200201197197198198199199200202203203203202200201201201202200202204204204204205204204204203204205204203204203201201201201202202199200200200198199197198198198197198197197198197195198197196198198198198198199200200200200202201200201200201200201202201199201200201200199203204204204204204204204205204202203204204203200201201201201201201202200199201200200200200200202204204204205202200197197197197198199195194193196198196197196197198201202203203203204204202205205204202200200204203201200197199200199200200200200200200198198196196196194193191192194193193193195195196197197197197195194194193193192191191192192190191190190190189187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158177180180183183182181182184187189192195200204205208211211212214215216217219221222224226227228229230229230229228227225223221219218216215214214214214215215215218220220221222222222218221999999999999999999999999999999999999999999999999999999999999999999999999999999999192192191192999999999999188189190190999999183181179181182180184181182183170163159153151139140133133134142143143147149145148150154158160161163162162164165164165164165166166165167165166166163161164164162159158159156158156164165165161162158154167165166168168170170175176179178180179182184189193191192192194194193194189190188190196196194193195193195191193192189190191193195194194195195194194195194193194194192195195197197199197198199202200198201199201200201200202201201200201200204206206205203203204203203203204206207205205207206206206205204206205204206205203203202200203202202203202202201198199199199200199200200200199199199198198198200199200201201203203201203203203203202204204203203202202202201201202203203203206206205205206205205206205205205204203205205203202203203204204203203203203203202201202201203204206209205203203205203204200199200201199200199199198200200199199200203205207207206203204205206205207204204202203203204204203202203202200198200201201199199198196196196195194193193193194195196196195197197197197196196195194194193193192192192192192191190191191192188187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186186183185187186186184185186188190193198202206207210211213214215217218218219220221223226227229230230229230230230229228226223220218216215215215214215215215216219220221222223222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187189187185999183184185183180183184181180178181999999167163154153146141137135149143148134140147151159159160162162162162161160165164164164164165166168167169169168166166162164164164160159161156159162167167163163160156165170169167174171173177179180180176179177180184186188189195194191190189192190189192194196200198198200199199197197195194193194195194195197197198198195197197198198197198200200200201200200202203203203201202203206205204204204204203204206206206207208205205207208204207205205208207207207207207207205205206206205204206207204205206206206205204205204203203202202203203201202202202202200201200200199200201202202203201202202202203204203203204205205204203202203203204205206206206206207207206206206206206207207207206207206208207205205206204206207206206205203204205205205205207205206209207204208208207205204207205206206203204202201203204204203205208209206209210208209207208208208207206205206207206204204203202203202201201202200200201198198196195195195195196197197198197196197196196196196197195195195194194193193193192193193192192191191190189188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188189188193194194193189188189191194197202206208210212213214216216217217218219220221222225228229230230230231230231229229228226224220218215215216215216216217218220221222223222221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185186182999999182182184183182182183180173169999999170168160152151144137137136138138151147140152158162162161161161160160160161158163164167168170168168165169170167170167167166168168163162164161160164163165165168161164168164166172175178174178181182182170176178180183192190192194193195194196196194199200200201200201202202202201200197199197197197196197198199198198197197199200200201201200202201204202204203204206205204203205207208208207208207206206206209209208208207207209205207207206207206206208208208209208208208207207206207207205206207207209208208208207206206205204204203204204205204204203202202202202201202202202204202202202203204204204203204204203205205204203204205206207207208208207205206207207208208206207208207207208207210209209207209210208209207207208206207206207207209208209209208209210210210210210209209207206208205206207204204205208207208209209208210211210210209209208208208207207205206207207205204203202201202203203202201201202201201199199200200199199201199198200199198197197197197198195194194194195194194193193193192192191190190190189188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193189192192194196200201201200197193192194197202205210212214214216217218218218218218218219220223226228229230231230231231229228228229228227225221218217216218219219222222223225225225223223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180178179179179181180180180178177175170170173175173170162157149143142140143146141140142147151155160163164162161161159160164166166166167168169168168166169172173171167169169169173169168168168161170171168168167167166168169172174171169169185181178173174178177181183194192195197197196195198198197201201202201202201203203204202199202200198200201199198200199198199200199201199201202203203203207205206206206207207207206207206209210210210210209208209208210210211211211212211211209209210209209209209210210210209209207207207209208208209210211211209209208208207206207206205205205204206205206206205203203203204204204204204204203203205205205205205205205205204205205205206207207207208209208208207208208209209209210207208208209210209211210208209210210207207208207208208210210211212212211210210210209211211212209209212211209205209212210209209208207209210208210211211211211211211210209208208206207206207206206207206206206204202202201201201200199199199199198200200201202202201202200199199198198195195197196195195194194193193194193192192192190190189188190190189188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179194196197200202204205204202201199195195198203207211213216216217218220221220220218218219221224226228229229230230230230230228228228227228227224220220220221221222224225226227227227227224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183182182180179178176169172169170171175177173169164157156146140143144146149141146146147150155161164165164162162163165167165173167172171170171169171173176174173169170171176175172171170174167171175172175174173173174169171166167170172184180178174174177178186189189193198197198200199200199200201200203203202203201201202203203203201201204203203202201201200201202203205204204206206207207208208210209209209209209208210210210211211212212210211211212212213213214212213212212212212211210210210211210210211211209209209211209209209211212212211211210210209208209208208208207206206207208206207206206205205206206205204204204205204206207206206207205206206206206206207207209209209210210210207207209209209210211210210209211211211210211211209210211212212208210208211209212211211211212211210211211211210210212211210211210209206211211210210211212212212211211214213212212212210211209209208207207207207207207207208206207206206205205203201200199198197197197198200201201201200200200200199199198197196197197197195194195193194194194193192193192191192190190192191190190 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176184194195198201203205206207207204202200197198201204208210212216216218219220221221220219219220222224225227229230230230230229228228227227228228227227225224222223222224226227229229228228228223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186188187188185180175171171174175175174174168166159155156147144145147149150146150155163162162165165165164163164165171169170174175176173171171172176174179175173176174174176175172172171171172176178176179179178177179169170170171176176182177182177178181183184191191196197198198200201201201205204208208206208207206207207207211207206206205205205204204204202201204205206206206207209211211210211211212211211211211210211212211212211211212212213215214215215215214213213213213213212212212211211212211211213212213212213212212211211212213210212212211211212212211211209208208208209208208207208207208207206205207207206205206207206208207207208207207206205207208208209209210209209211210210209208210210211212211213213211210210210211211211211211211213211211212210210210212212212213213212212211211213213211212211212213212213211211213212213213214214215215215214214217214214211211211211209208207207207207208208208207206206205206205204204200199198198199199199199200201201201201200199199200201198197197197197196195195196194192193194193193192191191191191192191191191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159170187192196197199203205206207207207204202201199200202204206209212215217218219219220221220219219220221223224226228230230230230229228228228227227227227227226225222222999999227229230230229229226222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185188189999181177174174176176175173170168172162162157152150153154149151154150154159163167167170166166172174169175172170172173175170173173174178177179183181179178175177179176175172171174177178177179180180178177180178177181178183183184179179179179181182188191194194197198199201202201208210210210210210212213215214213212210210209212210207206206206207205204205208209209210210211211212212213213213213212212213213213213212212212212213213214215215216216216216213213213213214212214212212213211213213214213213214214213213213213214213213213214213213213213212211211210209210209209209208208209208208208207208207207207209208208208208209209209208209208209207209210211213211212212211212210209213213212211213214213213212212211211213213213212212214214212213213213213213213212214211213211212213213213212213213215214213213213213214213214215215215216215215216215216216215213213211211210209209209208209207208207207207207206205205204204200198199199199199199202203203204202202202202201201202199197197196196196195195195195194194193194194194193192191191191192193191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216220999999999999999999999999999999999999999999999999999999999999999999999999999999999179182186191193196198203205207207207205205204202202204203205204205209213216217217218218219219218218219219220221223225226228229230230230229229229228227227227227226225223224999999999999226229221222218218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178180179179179179178175174174183186169165163162157156155154153156160156161163162164170170171175176174174175174177176172176175173179179179179180177183180177179179178175174173173173180179180181180177174181178184185185187186182181180180181181183187189193196197199200202203207208211211213212212214215216215215216215214212213211211208209209208207207207209210211211212213213213214215215215215215214215215214215214214214215215217218218218218218216216214215215216215215215214214212212214214215214214214214214214214214214214214214215215215214215214212212212211210210210210210211211211209209210209209209210210209210210210210210210210211211209211212213213214213213213212212211211213214213213212214213214213214214213213214214215213214217217214214215216217217216217214214212215215214213214215214216216215215214215215214216217216216216217218217217218217216216214213212211209210211210209208209207207208205205205207204204203201201200202203203203205206204204203203203203202202201202201199198196196196194193194194194195195193194194193192192193193191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215215999999208206999999999999999999999999999999999999999999999999999999999999999999164183183185188193196199202204206206207207206205204204207207206207207209212215216217217217218218218218218218219221222223225225227228230231230231230229229229228228227227227224224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175176176180179181182181184189190188187180183179176174169167162158161159162168166163170172169170172176176177177178177176176174176175173174175179180182183181181182181179179177173171174178180180180180178178185183185185186187188185184184184185185185188187193197197198199200202205207209210209213216215216216216216217217217216214215214213212211210210210210210211211211212214214214215215216217213216216213217216214215215216216216216218219220219219218218216217218217216215215215214213214214215215215216216215215214214215216214215216216216214215215214214214213213212212212212211212212211212212212211210210211211211211210211211212211211212212213212212214215216216213213214215215213214215215214214215215214214214215216217217214217215214217219217216217218217216216217217218218219218217218218216215215216216215217215215216216217215215216216217217217217218218216215214212212213210210210209209208207207206206204205205206206205202201201204203204206204205205205204204205203203203202204204203203202201200198198197197197195195197194194193191192193195195190 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211212208205203207205999999999999999999999999999999999999999999999999999999999171176187185184184187190194197199202205206207207208207205205206207206207207209211214215216217217218218218218217218219220222222224224225226227228231232232231230230230229229229229229228227225999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174173177178182182185191194200199200200199195192187182179174171167163163165164167166162169170169170172174173175176176176180176177178172171174173179182183184184182182181177178174179180179177181180180182187186186185187188189190187186187187189190186190192194196199199201200201203206207211212213215216216217216216217217217216215218217214215211212213211211210211212212213212214216216218218218215215214215215218218218218218219218217217220220220219219218218218217217217217217215216216215214215216217218217217215214215215216217216215216217216216215217215215214213213213213212214212211211213214212211210213214213212214215213214214214213215213213213215216218217217214215216216216216216217216216216217216216216215216217219219218219219216216217216217218216218218218219219221219220219220219219218218218216218216216216216216217217217217216217217217217218218218217217215214213212211211209210209208208208208208207207206206206206205204201204204202203203203205205205205204205206207207206204203203203201202201201198198197194194194194194194194193193192196197191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206208999202203204204204999999999999999999999999999999999999999999999999999999169169181185182184186192195198200201203205205206208209209209208209208209210210212214215216217217218218218218217217218219221222222222224224225226228230232232233233232230230230230230230230229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180178178999999999999181177175176176176177181187193197198204208208208209207207206198193187184186181179175170171166177168167171169170172174171178174180182182182183188187183178176176178185184184185187183182179182185183182181180183182185191191189191189188192192190190188189188191191195196197198201203203203202202205210212211212215218218218217217217214214215219218216215215215213216215214213213213213214215216216219219219219220216215215217216217218219219219219221221221221221220219219220218218218217218218218219218218216217217217219219218218217216217217218218217217217217217217217217217217216215214215216216212214213214215214212212215218216215215216217217217216216216217215215215216217215218217217217218218217215217219219218218217217217217216216219219221218218220220218218218219218220220220221221223224222222223224223222221220221220220217218216216217216216216215216217218218218217217218217217216215213212212211212211210209210210209209209207207206205205205203204204204204206206205205206205206205205208209209207206203204202200201202203201198196194196196195197192192192192192192192194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203203203202202202204202198197195999999176999999999999999999999999999999157164174178178180182182185188194198200201203204205206208209209209209209210211212213213214214216217217217218218218217217217218219220221221222223223224225226229230232233234234232231232233232231229229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178180180178177180181182182182181181184182187194200206209209209210210208208207207207206204198194187191188190186178168181172171175171168174176179181180184191191193192195191189188182182184188185187186183183182183185186185181180185192191186188190194193192193194194192192192190190193197199198202205206207203202205207212210214214213214218219217217217216217215218219219217217217217218216213216215213212215216216219218219220220220219218218218217217218218219218219220221221222222221221220219219220220220219219220220220220218218219219218219220219219218218218218220219219217218218218218218219219217217216215216215218216216216216217216217217218219218218219219219219219219219219219218219220220218218218219218219219219218218221221221220220220219219220221219219219222219220221218219219220222220221221222224223224226227225225224223224222222223222221220220219217218216216216217219220220219219219218218218217216215213213213213211210210210210209207207207207207205206206204204204205205206207207206204207206207208209209209208208207206207206203203201201200198196195197201196195196195195193194195193197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194195199201200201201201200196190180169166165191177190999999999166162159157171170172175176179181182185189193197200202205207208209211212212211211212212213213213214214215216217217217217217217217217218219219220221221222222223224225227228230232234234236235235234234232231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178178177179180184181181185189190187188191194198202205209210210209210209209207207206206204204206202196193195201193191186184184181180177179181181182184186190188191194203199196198195194195190183189187187186187187185185185186187187188191191191189188192195195194195198195196195196195195198199200202203207208207207207209213213212212214213215219220218216218218218215216220216217217219217218217216215217215216217217217219219220220220220219219218218218218217218217219219221221222223223222221221221222221222222222222222222221221220220221221220221221220219219220220220220220219219219219218218219218219219218217217217217218218217217219218219219219220220220220221221220221220220220221222223223223222220219219220220220220220221219221222221222221221220221221220219221220220220220220220220221222223223224223226226226227227229226226226226225223225223224222222222219219219218217217217219219220221219219218219218218217215215214214214213212211211210210208207208207208207206207205207207206205205207207206205207207209207209209207207208207207206205204205201199200199199200201201201197197198197202195197198198 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205204999999999191192197198200200201201200200198193193193191190191189185188193192188184179173172174174176179182184186190193197198200203206209211212213214214213213213214214215215215215216216217217217216217217217218218218219219220221222223224225226227229231233234236238238236236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183181179176176179187190185182189193193197199201201205207209211212212213210212211209208207206205206205202196197198198198198194193193190191192189191189190192195196197198193203200200199200200198195190187187189190189189189188186187190192190192193192190190194195196197195197197198200200202203204202204206206207208208209212210210208209216215217219218220218219219218218219219220219219219220220218219217216217216218218218218219220220220220220219219219219219219218218218220220222223224224223223223222222222222223224224223223223223223222222222222222222222222222221221221220220221220220220220220220220220221220218218218218219219219219219221219221221221222222222222223224223224224225224225226226225224222222221222223222222222222222222223222221221221222219221222219220220221221221222221221221222224226225227227227229228227227227227227226227226225226225225225224222221221221220218217217219220220220219219219218219219219218217215215214213213214212210209210209209210210209207207207208206205205206206207208209209210211211208207209208208208208209208208204204204203203205205205204204202204204205204202201200199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203197199201200201202204204203202202202199198198196193192191192193192191193189188184179175175176177179180183185192194196200201203205208210213214214215215214215215215216216216216216217217217217217217217217217217217218219219220221223224224226227227230231234236239240239235999999999999999999221224216999999999999999999999205205205205205999999999999999999999999999999999999999999999999186187189190188182185192196191190190191197199200202203203209210210212211212211211210207209208207206207205203200200201200200201200199198196197197195197195200200199199204198197200200199203202201197194195190189190195192193188189193193193194193194194195190191197194197198196198197199199200204204205205205206205206206208209210210210211215218221219220220222221219220218219219221221221221220220218220218218218219219221219220221221221220220220220220221221220219220218219220220221223224224223223225225224224225225225226226226226226225224223222223222223223224224223222222221221221222221222222221222222222221221220220219219219220220222223222222222222223223224225224225226227228227227228228228228227227227227226226226226226226225223227227226225224222222222222221221222222223224223223222222224224224224226227229227228229230229229227227228229228227226227227227227225224223222220219218217217219221220220220220220219220219219219218217217216216215215214213213212211211211210210210209208208207206206207207209209210211212211211211209210212209209210208206206204205205207207207207207207205208207210211208211210203203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202206205205205205205205205205204203203202200198196195193193193194193191190189187185182181180184185184184186188194196198201203206208210212213214215216216216216216216216217216217217217217217217217217217217217217218219219219220221223224225226226229230233235238239239239232236999999999999999229231228226999999999999211211214213213214214213213999999999999999999999999999999999999999181187189190195192196204201200197194194191197197201201203208208208206210211211207210208210211210210208207208205206204205205206206205204204204204204204201203204201201206203203201203203202203202201201199195194195195196194194191191194195195195195194195196194192195195195196197199197199201203204203205205204204205205207208210211212213216219222221220221223223222221220218218219220221221221220221221219219219220220221220220221222222221221221222222222222222221221220220221222223224225226225225225226226226226226227227227228228228227226225225224224224225226225225225224225223223223224223223223224224223223222222221221220222222221221223224223223224223225227227227227228228228228228229229230230230230230230230230231230230229229230230229229227226226224224224224223223223223224224224225223223223227227228229230231230231231231230229228228229229227228228227228227227226224224222221220219219218220221222221220220221220220220220220218218218218217216216215215215214213214214214213212212211212210208209209211211211212213214214213211212211209209209209208209206205207210211211211208209209209210212213211212211210209208 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204205206205205205205204204204203205205204204201198196194193193196199196193189188189188185186185186188188188189191197199200202204206209210212214214215216217217216217217217217217217217217217217217217217217218219219220220220220219220222224226227227229230234237239240240241233999999999999999230232231230228223999214215214217216213213218215215216213210999999999999999999999999999999999193192187195199202202203206202201201199200200198200202204205207207208209209211211210210212213212213211210210210210208208208207208208209209210210208211209208207206207208207207201205204204204203201201195194196196196195192193193194192196197197197197195195197199196197201200201202202202201203203200201205205206206210213215214215216218219221225224223223225223223221222221221221223222223222221222222222221221220220222221222222223223222222221221222222222223223223223222223224225226227226225226227228227228228228228229229230230229229228226226226226226226227227227227226225225225225225225226225225225225223223224224224224224224224225224225227226226225227228228228228229229231231231231232233233234234234233233234234234234234233233234232232231231230229228228226226226226226226225226226225226228229230231230230231231232232230230230229229228228228228227227228226227225224223222221221219219220222222221219219220220220220220220220219219219219218218216217217217216216219219220219219217217217215213215214215214213213214214213213211211210210209209209209209208208212210210211211211210213213213213212213213211212212210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205207208206206206206205205205204204204204204205206204202197195194194197199199198194190188189188188188190192193194194194196206205205205205207209211212213214215215216217217218217218218218218218218218218218218217218219219220221221220221222222223224226227227229231234237239239239242242999999999999999228228220219223223219216216214213212212213213214215216216213213213212999999999999999999999184194196193199202206205207207203201200200201199199204203205202206207208208209211212213212213211212214214214212213212212211211211211209209211211211211211210209210209207208205206206206206205203202201199195195195194195196196194194195194195198199199197197197200199199201199201205205203202201201201205206208211212213217220220220220220221225224224224226226225225224222221221222222223223224224223223222222223220220222222222222223222222222223224222225225225225225225226225225225226227227227228228228229229229229229229230231232232231231230230229228228227227227228228228228227227227227228227227227227227226225226226226226226225225225225226228228228229229229229230230232233233233234236235237237237236236237236237236236236236236236237235234234235234234233233232231231230229228229227229229230231232231232232233232232231231231230230229227228228227227227227226225226226225224224224222221220219219220221221221221220220220221221220220220220220219219219219219220218220220221221222223222222222221219220219219219217216216215214213213211210211210210210209211211211211211212212212212212211215215215215215215213212212212211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210210211211209207207207207206206206205205205204205205207205201197196198200202202201200198193191192192192191194196197198198200201204206208209209210212212212213213214215216217217218218218218219219219219218219218218218218219220221222221222222223224224226227229230231232235239241999241243244243999999999999999999224223222223223219218213213213212213213213214215215214216216215215213999999999999999187201199203203206208208207207210203204204200201202202205206207206210210211213214213213212214214214212213213214213214213212213213213213212213213213214214213213212211212211211211209209207206203202199197197197197197196197196195196197200201201204205202201202203203202202203205205207204203203204205208212213215218221223220222222222222223223226224227227227226226225224223222223223224224223224223220220221221221223223223224224224223223223224225226227227227227228228227227227227228228228228229228229229229229230231231232233234235234235234232231230229229229228229229229229229229229228228228229229228228228229229229228229229229228228228229230230230231232232233233234235235235236236239238238238238237238238238238238237238238238238237237236238236236235236235234232233233232231232231232232233233233233233233233233231230230230230229229228228228227226226226226225225226225225225224222221220219219220221222222221221221220221220220220221220221220220219220219220219220221222223223224223223223223223222221220220219218218218215214214213212212211211210210210211213214214213214214213213215216215216214215215214214214213212 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208210211211210209207208208209208208208207206206206207207206203200199200202204203203202201198195193195195195196197198199200201203206208210210211211211211212213213213214215216217217218217218218218219219219219219218218218219220220221222222222223224225227227230231232235236238241242242243245246245241238999999999999999999999225219220218214213212212212212213214215216217217219219219219218214204999999196198198204207208208210209209210210211209203203205204204204206208211209211215214214215213212212213211213214214214215215215217216217218219218218218218218217216215214212210212211211210208205203200200199199199198198197196196196199202203210209214216218212211209207207202205207207208209204207208210214215220220221221221223224225228224229227226228228228227227226226225224224224224224224224224222220220221224223224224225225225225226224225227227229229230230230230229229229229230229229229229230230230230230231232233233234235237237239238237236235234233232231231231231231231230230230232231231230229230231232232233233233233232232232233233233233233234235235235236236236237237237238239240240240239239239239239238239239239240240240240239239238238238238237237236236235235234233233233233233234235235234234235234234232231231230229229228229229229228228227225226225225226226226226226225223221220219220221222223222222222221221221220220220220221221220221221221221220220221222222224225225226225225225225223223222221220219219219217215214214213212212211210210212213213212214214214214215215216215215216216216217216215215215215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206209210210210210208208208209209209209209208208208208207207205202201201202205205203202201199197197196198199200200200200201202205206209209210210210210210210210212213213214215216216216216217217217217218218218218218218219218219220221223223222223223224226228230232232234236237240242243244245246247247246241999999999999999999999999218219219217214214212212213215216218218219219220220221220221220212203202198198202206211210208209209208206211210212207204205206205204207207212211212216214215213211212211211212214214214215216218218220221222223223224222221222221220221218217216216215215215212207205199198200200201201200199199199199202208212214215215214216213217218215215213212211208207207209209211212212214216221223224224226229228231230228229229228230230229228227226226226225225224225224225225225223223223224225225225225225227228226226227228230229231231232233233233233232232232231231231230231231231232233233233233234234235237239240240240240240239238236235234234234234233232232232232232232231232232233233235235236236236236235235235235235236236236237237237237238238238239239240240241241240240240241241240240240240240240240241241240240239240239238239238238238237236236235236235235235235236236235235234234234233231231231230229229229229229229228227227227227226227227227226227226225224223221220221222222223223223223222222222222221221221221221221221222222221221221221222224225227227226227227227226226224224222221220219219218217215214213213211211211212212213213215216215216215216217216216217217218218217216215216216215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204207208209210211211211210210209209209209208208208208207206205204203203203204206207204202200199198199200202204204205203203203205206209210210211211209210209209210213215214215216216216216216217217216216217217217217219218219219219220221221223223224225226227230231233235237239241242243243245245247248248247243999999999999999999999999999999999216216218217217218219221222223223224223222222221221221220212204194196198206211210209210209209206211211211209206205206211210210212213212211215213212213211212211211215216216216218218221223225225225225225225224223221221222221221220221220218217217214207205200201202202202203202202200202204209215217219218221221218218222223222220218219218212210210210213212211212215218225226229232231233233233233230230230230232231230228228228228228228226226227226227226224225224225225225226227227227229228229229229230230231232232233234235235236236235235235234234233233233233234234234234235235236237239240242242242242242241241240239237236236237236235235235234233233233234234235236237237236236236236236236237238238238237237238237238239239239239240240242242243241241242242242243243242241242242241241242242241240240240239239239239238238237236236235236235235235235236236235235235233234232231231230229229229229229228228228228227227227227227227226227226226224223222221222223224224224224224224223223223223222221222221222221221221221221221222221222225225226227227228228228228227227226225223221221221220219218216215213213212212213215215215215216216216216217216217217217218219219219218217216216216 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203205207208209210211212212212212211211210210210211211210209207205205204205204205206207207204201200201203205206206206206205205206207208211211211211210209209208209211214215216215216216215217217217217217216216218217219221219220220220220221222223224224225229230231234236238240242243244245246247247247248248247242999999999999999239241999999999218219221221220222224225225227227227225225224224223224223221217211201197197207209212209209209207209211212212211210210215216217216218216215214213213214212212212213215218219220221222223225225226226225227225226223222221220222223222223223222219219219216208207202202204204204205203202203205211216221223224226225226226226227225226226225224222221216213214213214216220223226228232233235235237235234233233232233233233231229229229231232231230229228229229226227227226226226226226227227228229230230230231231232233234234235235236237237238238238238237237237237237236236236236236236237236237239240242243243244244244243243242242241240239240240240239238237236235235235235235236237237238237237238238238239239239239239239240240240240240240241241242243244242242243243243244244244243242242241242242242241241240240240239239239238238237237236236236237237235236236236235235235235234233232231231231230230229229229229228227227226227227227227227227227226225223223222223224224225225225225225224224223222223222222222222221222222222222221222222223224226227228228229230230231231229229228227225223222221220219218215214214214214212214216216217217217216217217218218218219219219220220219217217217217217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205206207209210211212212212212213213212212212212212212212212211209209208207206205206208208208207204202203205207208207207207208207208209211212212212212211210209208209211214215216216217215216217217217217218218218220220220220220220219218220221221223223226229230232234237239241242243244245246246247247247248248248999999999999239242244245243239237234231229232230229229228227228225224225225225225225224225221219213210208201203207206207209209208209210212212213211218218218210218217218219218216217212212212213216218220222225226226225225227227226225225222221219218218219221222223223223222220219219215207207203203205205204204203204207211218224226227227228229229228228228229228228227226226223222220220220223224226228233234234236237236233236236236234234233233232230230230231233233233233231231231230229230230229228229228228230231231231231231232233233234234234236236236237238239240240241240240240239239239239238238238238238238238239240242243244244245246246245246245243243243243243243243243243243241240239237236236237238238238238238238239240240241240240241241240241241241242242243243244244244244245244244245245244244244243242243243242242242242241241240239239238239238236236236236236237235235235235234235234234233233232231231231231230230229229229229228228226226226226226227226226226224223222223223225225226226226225226225225225225224224224224224224224224224223223223224224224225226227228229230230230232232231229229228226224222221220219218216214215215215216216217217218218218219219218218219219219220220220220218217217218218218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207208208210211212212212212213214213213213214215215214214214213211209209208207207207208208208208206204206208209208208208208209210210212213214214214213213212211210211213215216216216215215216217217218218219219219220220220220220220219222221221223223225228229232234236238240242243244245246246246246246247248247246999999999999242247248249245239234232231231229228229228227227225224224224224225224224223225222219214210203203202206207208208209208209210211215216220220219218217218218222221219218218218217217219221222223225226226225226227226223223221220218216216215216218220221223222222222221219219212209207206204205205204204205209214220224227229230230231230231231230231231230231231230230227225228228228229230231235236236237236237237235235236235235235234233232231231233234236237234234234233232232231231231231231232232232232233232232233233233234235235235236238238239239240241241242242242242242242242242241241241240240239239239241242244244245245246248247247247247246245245244244245245245245244244244243242241239239238238238238239239241241241241240240240241241242243243242243244245245245245245245246245246245244244243244243243243243242242242241241241240240239238237237236235235235235235234234234235234235234233232233233232230230229229229228227227227226225225226226226226226226225223223225225226227227228227226226226226226226225225226226226227226226225226225225224225225225226227228228229230230232232232232231229228227225223221220219218217216216216217217217218218219219220219219219219220220220220221221220220218217218217217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207209210211211212212213214214214213214215216217217216215215214211211209208208207207208209209208207207207208209209209210210210212214215215215215216215215214213213214215216217215215215215216218219219219219220220221221221220220221219221220220222224226228230233235238239242245245245246245246246245245246245246247242999999244249251249246243999999999227226225226226225225225224224223223223224225223225224222218215211207208205206207208208209208208209210211218221223218220219223222223222222221220221223223223224224224225225226226226225222220219218216217217217216216218221222222223224222222220218215210208207205205206206209212216222225229230230232232233234234234234233231233232233233234232231232232233232233236237237237238239238236236236236236235236235232232231233235237237238237236237235233234234232233234234234235235236235235234235235236237237237237238240240240241241242243243244244244243244244244243243242242242241241242244245245245246246247249249249249248248247247247247246247248248248248247246246245244244242240238238239240241243243241241241241242243243243244244245245246246246246247247246246246245245244245244244244244243243242242241241241241240239239237236236235234234234234233233233233234233232232232232233232231231230229229228228228228227227227227227226226226226225225225225226226227228227227226228227227227226227228228228228229229228227227227227226227227227227228229229230230231232233233232232231229227225224223221219218218217217216217218218219219219220220220220220220221221221221221221221221220219218217217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210211211212212213214214215217217217217217217217216215215214212211209209208208208209210211210208208208208209211212212211213214215216216217217217217216216216216215216217217216216217217219219220220220220220220220221221221221221220221222222223224227229232233236238242243244246245247246247245245246246245244246244245246250250249248246999999999999999999223225225224225224225224224225224224223224224223223219218212205204203207208206206208208210212212213217223225225220224227224224224224224225224224224224224223224223224224225223221220219218217217218218217217218219221222223224223222222219217215212211210207208209211216223224228230231230231234234235236236236236236235232236235235234234234234233237237238238240238239239240238237237237238237234234235233230231233236237238239239240240239238237236235236236236236237238238237237237237237238238239239240240241242242242243243244245245245245245245245245244244244244244243244245246246246246247247248250250251250250250249249249250249249250249251250250250249247246246245244243242241241243243243243243242242242244244244244245245247246247246247247247247246246245245245245245244244243242242242241241240240240239239238237237237236236235234234234234234233233233232233233233232232231230229228228227227227227227227227227226226226225226225225226227228229230231231230230231231230230230230230230229229229229229228229228227227227228229230230230230231231232232233233233233232230228226224223221220219218218218218218218219219220220220220220220220222222222222223223222222222221220219218217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208211211212213214214214215217220219219218217218220218215214213213212211210210210210211212212211210210209210211213215216216215216216216217217217218219218218217218217216217216216217218219220220221221221221221220221222222222222221222222224224225226227229231234239240242243245246246248247247245245245245245245246248246250250245244244244999999999999999999221226223224225223225224224224224225222223224222221216209213205203204207208205206208210212213214216219224226226228228229228226227228227229227226226226224223223221222222222221220219218218219219220220219219220221223223223223222222220218217216214213214214216218219226227229232234235235236236237237236237237237236236236238237236236236234236236238239239240240239240240240239239238239237236235235234233231233235235234237238239240241241242241240240241241241241241242241240240239240240240240241241242242243244244244244244245245246246246246246246246246247246247247247247247248248248248248248248250251251251251250250250250251250250251251251250251250250249249248247246245244244243244244244243243242242243243244244244244244245246246246247247247246246246246246246246245245244244244244243241241240239239238239239238238237237236235236235235234234233232233232232231232231231231231229228227227227227227227227227227226226226226226225226227228230231231232232233233234233233233233232232231231230230230230229229229228228230230230231231231231231232233233234232232232232231229227225224222221220220219219219219219220220220220220220220221222222222222222223224224223222222221219219217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210212212213215215215214216219221220219218219221222221220217216215213212211211212212213213212212212212211212213215217217217217217217216217217217219219219219219218217218218218219218220221220220221221221221221222222222223223222221222223224225226225227229232236239242244245246248248248245244243246245245247246246247252251999999999999242238234233234230999220224225223224225225225224224225225221224224222221216211210206206206206205204207211211212214214219223225226226230230229228230231231231230229228227225224221222221222222222221220219218219220221221220220220222223223223222223222221220218218217216218218220223228228229232234236237238237237238239238238238237238239239239237236235237238238239239239240241242242241239239239236240238240238236236236236236235236236235235237238239239239241242242243243244245245246245245245244243242241241240241242243242243244244244245245246246247247247247247248247247248248247248248249249249249249249249249248249250251251251251251251250250251251251251251251251251250249249250249249247246245245244244244244244243242243244244244244245245245247246247247249248247247247248247247247247246245245245244243242241241240240240240240241238238238238237237236235235234234234234234233232232232231231231230228228227227227227227227228227227227227226226226226227228230232232233233233235235236235235235235233233233232232231231230230230230231231231231231231231232232232233234233233232232233232231230228226224223221220220220220221221221221221221221221221221221222222223223224224224225224224223223222220218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208211213214215216215215216219220221220220222223224223222222221220218214212212212213213213213213212213213214215217218218218218218218218217217218219220221220220220219219220219219220221222221222221222222222222223223224224224224223223224224225226227228229232237239241244244245247248247246245245245245245244244245248253252999999999999242238235237235229999217224223220222224224225224225226224223223223221219215210209206205203203203208206211212212213214224226226226226232231231231231232233231230229229228226224222222222222221221220219220220220220221221221221221223222224224224222221221219220220220222223225226234232231234235236237239239240239240239239239241240241238239238238239237237240240238240241241243241243241241242241238239240240239236237236236236237237237237238237238239239240241242243244246246247247247247247248247246245244242242242243243244244244244245246246246247247247248248248248248248248249249249249249250250250250250250250249249250251251251251251251251251251251251251252251252252253252252251251250249248247246246245246245245244243243244244244245246246246247248248248248248248247248248248248248248247246246245244243242241241241241241240239239239239238238238236237235234234235235234233233232232232231230230230229228227227227227227227228228227227226227226227227229231232232233233235236236238238237237236235235234234233232232232231231231231231231231231231231232233233233234234234233233233233233233231229227224223221220220220221221221222222221222222222222223223224224224224224225226226225225224224224223221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207209212214215216216216217218219221221221222221221221219219219220220218215213213213213213213212212212213214216219219219219219219219218218219219221221221221221221222221222222222221222222222222222222222223223224224225226226225225224224224225225227228230231237239241242243245249247247247245243244245243243243247250255253999999999999244241999232235999999218224221220220221223223223223222221222222221220212213210210209208208209207203207211212213218221224226223224228232233232231231231232231229230230227226225223223222222222223222220219221220220222222221221222223223223223223222221221223223224225227228231235233234235236238240239241242243242241241240241241242242239240241239240239239241241240241240241241242244242243243242238239240239240238237237236238237236238238238239239239239240242243244246249249249248248249248248248248246245243242243244244244244245245246246247247247247248248249249249249249248249250250251251251251251252253253253252251251252252252252252252252252252253253252252253254254254254254253252251250248248247247246246246246244243244244244245246246246247248249248248248248248247248248248248248247247247247245244243242241241241242241239239238238238238238238236235235234234236234233233232232231230230229229229228228227228228228228228228229228228228227227229230232233234235235236238238239239239238237237235235235235234233232232231231231231231232232232231232232233233234235235235235234234234233233232230229225224223221221221221222222222222222223224224224225225225225226226228228229226228227227225225224223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234232235235232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206209210212213215217217217218219220221221222222221221219218218220221220218215214213213213213213213213214215218221220220219219219219219220221222222222223223223224223222224222223223223223223223223223224224225225225227228227228227226225225225225227228230232238239241243244245247248248249248245244243243243245250252253249999999999999999999999999999999999221223221220219218220221221221220221221221220218212211209209210210212211209210210212210214218221224225224226228232233233232232232232232232234229227227223223223223222223223222221221222221222222223223224224224225225224224224224225226228228229232231232233235236237240240242241243244244243243242241241242242239239241241242242243241243242242241241241241242244244244240243240242241240241241239238237238238238238239239239239240240241243244247249250250251251251251251250250249248247244244244245245246246247247248247248248248249249250250250250250250250251252253252252252253253255255255255254254252252252252252253253253253254254254254254255255255256255255254254253251250249248247247247246246245244244244244246246246247247249248248248249248248249249248248248248248248247247245244242243241242241241241240237238237237238238238237236235235235234234233233232231231230230229229229229229228229229229228229228228230230229230231232233234236237237237238240240240239239238237238236235237235234234232232231232231232232232232233233233233234234235236236236237236235234233233232231231228225224223222222222222223223224224225226227227227227227227228229227228229229229228228226225225224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235234232235233228226227236238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208208209210210211212216218218218220221220220221221219217214214214216218219220220218215214213213213214214215215217219221221221220219219219219222222223223224225225225225224224224224224224225225225225224224225226226226228228228228229227227226227226227228229231234237243241242243245248249249249251247244244244245249251999999999999999999999999999999999999999999221222221220217213216221220218219219218218219217214211211209209207207211212212210209211214218219223225226227229231234236236234233232233233233229228226225224223223222222221221221222222223223223223226226227226227227226227227228228229230231233233233234235237240241241242242243244244243243244242242242241240240240241242243243242243242242241240240240241242242242242243242242241242240242242241241240240241240240241240242242242243243246248251252253254254255255255255254252251249249247246246247248248248248248248248247248250250250251251250250251251252252253255254253254254256257257257257256255254253253253253254254254254255255255255256256256256256256256255255255253251251249248248247246246245245245245246247247246248248249248248249249249249249249249248248248248247248247246244243243244242241241242239238238238238239239239238236236235235234235233233232231231230231230230229229229230232230231231231231231231232233233234235236237237238238239241241241241241240239239239238237238237235235235233233232232233233232232234234233234235236237237237237237237235234234234233232231230227224224224224224224225225225227227228229229230230230230230229230230230230230229229229227226225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238237236236236236237237236236235233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203208212213212212212212214216218219220222222221220220221220216214212212211213215219220221219217215215215215215215216217218221222222222220220220219220222224224225226226225225224224223225225224225226227227227225225226227228228229229229228228227227228228228228228230234234239241242242244247247248250249251249246245246248248999999999999999999999999999999999999999999999221221220219219216214217219218220219218218218218214214213209209209208213212211211212214216217220221223226228228228233236238235233233233235234230229225223223223222221221220221221222222223225226226226228228227228228229230230232233235234234234234236238240241242242243243243244243243243243242242242242241242243243242242244245244244244243242243242241241241243245244243245243245244244244243243241242242243242242242242243244245245245249251252254255255257257258258257256254252251249248247247248248248248248248248248249249250251251251252252251252252253254255255255255256256257258259259258258257255254253253254253254254254255256256256257257257257256256256256256256255253252251249249248247246245245246246247248247247248249249249249249249249249250249249248248248248248248248248246244245244243242243241239239239238239238238237237237236236235234234233232232232231232232232230230231230231232232232233233234234235235236237237237238238238240241242243243243242241242240240240238237238236236235233232233233233234234234235235236235235236237237237237238238239236234235233233233232231229226226226225225226227227227228229230231232232232232232231231231230230231231230230229229229229 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236237239238237235235235236237236236236233232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209214216217218218217217218218219220223225223222221221221219216214213212212213216219220221220218217217217217217218219220220222223224223222221221221223224226226227227226227225226225225225224225226226227228228228228228229229229230230230229229229230229229229229230232233234238241242243245245247248249250251251250247246248248245999999999999999999999999999999999999999999999999220221219216216214216217218220219219219217216216214212212211210212212212213213216215216219221225226227228228230234237240238236235237234231230226225224222221221220221221223224224224227227228230230230230230231232234235236236236235236236238241243243243244244244243243243243243243243242242242242243243242243243246246246246245246243243242242241241242245245246245245243244245245245244243243243244244242243244244245245245246249252253254256256257259259260260259259257255253250249248247248249248248249249249249249250251251252252252252252253254255255256256256257257258259260260260259258258257255254254254254254254255256256257257258258258257257257257256256256255254254252251250249248247245245246247248248247247248249249249250249250249249250250249248248248248248248248248247245245244243243242241240239239239238238237237237236236236235234233233233232232232233234233232232233233233233234235235236237237237238239239240241241241242243244244244244244243243242242241239239238238238237235236234233233234235235235236237237236236237237238238238238238238237235235235235234233231230228227227227228228229229229231230232233233233233233233232232232232231233231230230229230230229 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237235236237236236235236236236237236236237238234234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209212216216217219219219219219219219219222225226223223222222221220217216215213214215217218220222222219219218218218220220221222223223224224224223223224224225228228229228228227228227226226226226226226226227227228230230230230230230230231231230230230230231231230230230232232235236238241242246247246247248250252253251251251249250250245999999999999999999999999999999999999999999999999999221221219218215214216218220219219218216217216214215211213213214215215215215215214216219222224225225229229230231236241240239237236235231229228227224223222221220220222223224226227228229230232233234234234235235235236236236237238240242243244245245245245244243243244243243244244243242242243244243244246246245247247246246246247247246246242245242247246247246246245246247246245246246245245246245245244244245245246246247249252254255257258258259261261262262261261259257255252250249248248248248249249249250250251251251251251252252252253254255256257258257257257258259261261261260260259258257255254254254254255256256257257258259258258259259258258257257257256255255255253252251250249248247247247248248247248247247248249249250249250250250250250249248248248248247248247248249247246244243243241241240239239239238238238237237237237237236235234233233233234233234234234235235234234234236237238238239240240240241242242243244244244245246246246246245245244243243243242241240239238237237237237236235235236236237237238238238239239239239238238239238238238238236235235235233232233231231228228228229229230231231233234236235235235235234235233233233232232234232231232231232231231 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236237236236236235235236236236236236237237237237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214214217218218218219219220220220220219219221223224226225224223222222221219217216216216217219220223224222220220219219220221222223224224224225225225224225225227228229229230230229229229228227227227227227227227227227229231231231232231231231232232231232233232231231230231233234233235238241241242243246247248249251253253252251252252252250248999999999999999999999999999999999999999999999999999999221220221217217214216216216215214214214213216218216217217218219219219219217217217220222223225226228230230230234239242240239238235233231229228225225223223222222223223225226228228229231233235236236236235237236237237238239241244245246246247246246245245244244244243243243244244242244244244245246246245245247247246247247248247245245243246246245246246248247248248248248248247247247246246246246246246246246246247249252254255258259260260261262263264263262262262260257254252250248249249249250250250251251251252252252252253253254255256257258259259258258258259261262262262260260260259258256255254254255256257257257258259259259259259259259258258257256255255254255254254252251250249248248247246246247248247247248249249250250250250250250249249249248248248247247248248248248247245245243243242241240240239239238238238238237237237237236236235234234234234235235236236236236237237237238238238239240241242242243244245246246246247247247247246246245245244243243242241241240239237237236237237236235236237238237238238238241242241240241241239240239239239237235234233233232232231230229229229230231232234235236236236236236236236235235235235235234234234234235234233233233233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235235235235235235236236236236236236237235234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209216217217218219219219219220220221221220220221221222225227226225224224222221219219219220220221223224223222222222221221221221222223224224224224225224225224226228229229229231230230229228229228228229229229230229228228230231232232232232232232232232233234234233233232231232234233235236238241242244245246247248249252253252252252253251251250244999999999999999999999999999999999999999999999999999999220221221219217215214216214214215213216219221222224227228228229228227225222221220220221221223225227228229230233238242241239239236236232232230228227226226225225225226226227229229229230234237238238237237236236238239240242244246247248247247247247245245244243243244245245246245245246246246246246246245245246247247246248247246247245245246244246245248249249250250251251250250249249248247247247248248248248249249252254255258260261262262263264265265264264263263262259257254252250251251250251251251251252252252253253253253254255255257258259260260259260260260262262262262261260259259258256255255255257257257257258259260260260260260259259259258257256255255254254254255253252251250249249249248247247248248247248249250250250250250250250250249248248248248247247248249248248248248247245243243242240240240240239239238238238238237237237236236236236236236237237237237238237238238238238239240240240241243244244246247248248248247247247247247247246245243243242241241241240239239238237237237237237238239239239239240241241242242242241241241240240240239239237235234233233232233231231231231233234235236237237237237237237237237236237236237237236237237237236236235235234234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237235233234235235234235235235236236236236236235234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219220220220220220220219219219219220221221220220221220220222225228229228227225222221221221221222222223223223224225224224224223222223223224224225225226225225226226229230230232231231230229229229230230230231231231230229229231232233233233232233234234234235235235235234234234232236236236237239241243244246247248247249252252252253252253252252251249999999999999999999999999999999999999999999999999999999999220222219217218218220218221223219223226227231232233234234234234233232230230227225224223223224226228229230233237242244242240238237236235233231231229229228228228228228228229230230230233234238238237236235237240241243245246247247247247248247247245245244244244244245246246246248247247247247245245246246247248249250249248248246247247249250249248249250251252252253253253253252251250249249249249250249250251253255256257260262263263263264266266265264264263263262260258257255254253252253252252252252253253253253254254254255255256257259260261261261260261261262263262262261260259258258257256256256257257258259259260260260260260260259259259258258257256255255255254254254254253252251250250249249249248249248248249250250250251251251251250249248248248247247247248249248249249249248246246245243242241240241240240240240238238238238238237237237237237237237237238237237238238238238240240241241241243244245246247248248248248248248247248247246246244243243242241241240240239238238237236237239238238240240240240242242242243243243243242242242242242241240240238237236235234233233233234234236237238238239238238238237237237238237237238238238238238238237237237236236235235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238240240238236234233234234234234234234234235235236236233233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218222224224223223222222222220219218218218219221220220221220220220221223226228229229228225223224224225225226227226225225226226227227226226226225226226227226226226226227228229231232233232232231231230230230231231232233233232231231232233234233233233233234235236236236237237236237237236237238238239241242244245246246246247248249252252253254254252251249249999999999999999999999999999999999999999999999999999999999222222219219219218221224226222224226231232232233235236237235236235234233233231230229228226225227228229230234237242244243241241239238237237236237237238235237236234233231231232232232233234237236236236236238241242244246248248248248248249249247245245245245243244245244245246246246247246246245245247247249247249250250249248247248250251251250251252251252254254255255255255255254252251251250251251251251253255256257260262263264265265266266265265264264263263262261260259257256255255254254254254253253253254254254255255255256256258260261262262262261261262263263263262262261260259258257256256256257258259259260260260260260260259259259259258258258257256256256255255255255254253252252251250250250250249249248249250250250251252252251250250249248248247247247249249249249249249249249247246245244243241241241240240240239238238239238238238239238238237238238238238238237239240240241242243244245245246247248248248248248248248248248248247246245244243242242241241241240240239238238238238239240240241241241241242242243244245245246245244244244244243242242240239238238237236236235236237237239239239238239239239238238236237238239239238239239239239239239238238237236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242240239241239237236235235235234234233233232232233233235236233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224223226226226226225225224223222221221220219219218218220221221221221221220221221222224227229230230230227227228228229229229229229228227228228228229228228227227227227228228229230230231231232233233232232232231231231231231232233232232232232233233234235235234234236236237240238237239239240240240239240240241242243244245245246247247246248249252252253254255252252999999999999999999999999999999999999999999999999999999999999999999223222219217219222224227227231233232232234236237237237236236236235235234234233231231228228228229230230233238242245245245244243242242243244245245246247247247246243243242240238237235234236236235237237239242243245247249249249249250249248246246245244246244245245244245246244245247246246246246248248249247249250250249250249250251251253253253253254254255255256256256256255255254252252251251252252254255256257259262265265265265265267267266266265265264263262261261260259258258257256256256256255255254254254254255255256256257258260262263263263262263263263263263263262261261260258258257257257258258259259259260260260260260260260260260259259259258258258258258258257257256255254253253252251251251251250250250250250251251252252252251251250249248248247247248248250251249249250250249248247246245243242242241240241240239239238238238238239239238238239238238239239239240240241242243244245246247248248249248249248248248249249248248247247246245244243242242241240239239238238239239239239240241241242242242243244244245246246247247246247246246244244243242241240240239239239239238238239240240240238238239239240239239239239240239239240241241241240240240240240238238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245245242242241240239238236236236234234233233232231230231233235999999999999999999999999999999999999999999999999999999999999999999999999999999215219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221228230230229227226225225224223223222221222221220219220220221222221221221222221221221221225227230231231231231231231232232232231232231231231229228228229230230229229228228230231232232231233233233234232233233232232232232232233233233232231231232233234234235235235235236237237238239239241243242242242242242242242244243244246246246247246247248249250251252253251252250251248999999999999999999999999999999999999999999999999999999999999223222221219219223225226231233234234233237237238237237235235235234234234235234233233230229229229230232234238244245245245245246247248248248248249249250251251250249250249248246245241238235237237237238240243244246247248250249251251249249248246246245244243243244244245245246247248248248248249249248250250249249249250250252251252253254255255255255256256256257256257257256256255254253252252253255256256257259261264266266267266266268268268267266265265265264263262262261260260259258258259258258258257256255255255256256257257258261263264263263263263264264264263263262262261260259259258258258259259259259259260260260260261261261261260260260260260260260260260260260259259257256255255254253253252252251251251251251251252252253253252252251250249248248248248249249249249250251251252251250249247245244243242242241241241241239239239239239239239239238240240240240241241242243244245247247248248249249249249249249249248249249249248248247246246244243242242241239240239239239239240240241240240241242243244244245247247246246246246246247246246245245245245244243241241240240240240240240241241241240239239239240240240240240240240240240242242241241241241241241241241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246245244243242241241240238238237236234234234233232230230232234999999999999999999999999999999999999999999999999999999235234233228229230232232232224226233235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219222230231230228226226225224223223223223223223222221221221221222222221222222222222222222223225229231231232231232231232232233231231231231232232231231232231231231232232231233234233233232232234233232233233233233233232233232232234233232232231232232233234236237237237238237238239240241242242244247242243243243244244245245246246246247247247248249250250251252252251252253253251248999999999999999999999999999999999999999999999999999999999220222221219219225225229231234234235236239238238237236235234234234234234234235236235233232231229231233236240242244245245245246247249249250251251252252253253253253253253253252251250246241238237239239241244245247248249250251249250249251248247247245244243244245247247247247248248248249250250251249250251250250250252252252253253254254255255257257257257257257257257257257256255254254253253254256257257258261264266268267267267267268269268268268267267267266265264263262262262261261261261261261261260258257256256256257257258258262264264264264264265264264264264263263262261260260260259259260260260260259259260261260261261261261261261260261261261261261261262261261261261260259258258257256255254253253252252252252251252252253253253253252251250249249249249248248249249249250251251252252251250248246245244244243241240240240239239239239239239238239240240241242243244245245247248249248249250251250250250250251250249249249249248248247246245244242242241241240240240239240240240241241241242243243244245246246247247246246247247247246246246246246246246245245244243242242241240241241242242242242241240240240240240240241242241242242242242241241240241241241241241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246246244243242241241241241238238237238236236235233231230228232234233999999999999999999999999999999999999999999999235237237236234232231233234234233232233235237999240243999999999999999999999999999999999999999999999999999999999999999999999999999999217230230230230230229227226225224223223223224224224224223222223223223222222222222223222223224225227230231232232232232231232232232231231230231231232232233232234233233234234235235235234234233234234234235235235234234234233233233233233233233232231231232232235236242239240242240242242242243245245245245246246246246246246247247246246247248248249250250251251251251252251252255255254252999999999999999999999999999999999999999999999999999999999219223222220221226229232234234235237238239238237237235235234235235235235235238236236235234230230233236237240243244245246246247249250251252253253253254254254254254255255255255254253251247240238238240243244246248248250251251250251251251249249248247246245245245246248248247248250251250251251250250250250251251251252253253254254252255255256257257257258258258258258257257256255254254253254256257257258260263265268268267267267268268269269270269269269269268267266266265264264264264264263264264263262261260259258257257257258259262264265264264265265264264263263263263262261261261261261261261261261260260260261261260261262262262262262262262262261262262262262262262262262262262261261260260259258256254253252253253252252253253254254254253252251250250250250248248249249249250250251251252252252251250248246246245245243241240240240239239239240239239240241242242244245247248249249250250252252252252251251250250250250249249249248248246245244243241242241240240240240240240240241242242243243243244246246247247247247247247247247247247247247246246246246246246246245244243243242241241242242243244244243242241241241242242242243242243242242241241241241242242242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244242242241241240240240239239239238238237235233230227231999999999999999999999999999999999999999999999230229231233236236236235233233232232232233233234235236237239240240238999236999999999999999999999999999999999999999999999999999999999999999999999231232231230229228227226225224224225226227227226226225225224224223223223223224224225226226227229231232232232232232232232233232231231231231231232232234234234235236236236236237236235235235236235235235236236236235235234234233233234233233233233232233234235236239239240241241243244246245246246246246247248247248248249248248248248248249249250250250250251252252253254255257255256254999999999999999999999999999999999999999999999999999999999999223222220224232231232235234236237239238236236236234234235236235235235236237237238235233231231233237239240241242244245247249251253253254254255255255256256256256256256255256255255254252245240239241244245248249249251249252252253252250250251249249248247246247248248250249250250251251251252252252252253252252252252253253254254254253255256257257257258258258258259258257257256255254255256256256258260262264266268268269268267268268269269269269270270270269268268267267267267266266266266266265265264264263262260259259259259260262264265264264265265264264263263263263263262261262262262262261262261260260261261262261262262262262263263263263263263263263263263263263262263263263263263262262261260259257256255254253252252253253254255255254254253252251250250249248248249249250250250250251252252252253251250247247246245244242241241241240240241241240240241242243246248248249251251251251253253253252251251251251250250249249249248247245244243242242242242241241241241241241242242243243244244244246247247248248248247248248248247248248248247247247246246246246246246246245244244243242242243244244244244244244244243243243243243243243243242241242242243243243243243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241240239239239239239239240240240239239238236233231229227228999232999999999999999999999999999999999231231230228227230234235234233233232232231231231232233233234234236238240240239236999999999999999999999999999999999999999999999999999999999999999999229232231230229229228227226226225225226227228228229229227227226225224224225225226227227228229230231232232232232233233233233233233232232231231232232233235236237238238239239239238238237236237238236236237237238239237236235234234234234233233233234234234237236237240240241242245246247247246247248248248249249249250249250250250250250249250250250250251252253254255256257258258258255254999999999999999999999999999999999999999999999999999999999222222222226229229230233234235237238239236236236236236236235237236236237238238238239236233231231234236237239242243244244249252253254254256256257257257258258259258258257256256256256256255251243241243245247249250248250250252254255254253252252252252249247247247249250250250251251251251252252251251252252252253253253254253255256257255255255256255256256257258258258259258258257257256256256257259260262264265267268268269268267268268268268268269270270270269269269269269269269269269269269268268267266265265264263261260260260260262263264264265264264264264264264264264263263262262262262262261262261260261261262262261262262262262262263263264264264264263263264264264264263264264264264264263262261261260259257256254253253253254255255256255255254253252251250249249248249249249249250250250252253253253252252251250248246245243244243242242241242242242242242244245247248250251252252253253253252252252251251251252251251250250249248246244243243243242242241241241241241242242243243243243244244246246247248248248248248248248248248248248249248248248247247247246246247246247246245245243242243244245245245244245245245245245244244243243242242242242243243243243244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240238238237237238239240240240240239238239237234231229230228228229235237239234999999999999999230230229226225228227227230233233233232232231231230229229230231231232233234238239240241241238999999999999999999999999999999999999999999999999999999999999232231231232230230229228227227226226226227228228228229230230230230230229228227228228229229229230231232232232232233234234234233234234233233232232232234235237237239239239239239240240239239238238239238238238240240240239238238237236237235235234235235236237238237238239241242245246245247247248248249250251250250251251251252252251250250250251250250250252254256255257258258259259258254999999999999999999999999999999999999999999999999999999999223222223223226227227229233235236237238238238236236236237237236237236238238238238239239236233231232234237237239241244245247250252253255257257258258258259260260260260259258258258256256256256254246243244245247248249249250251252254254255254254253253253251250251252250250251251251252252252252251252252253253254254255256257258259260260260261260259257256256256258259259259260260259259259258259260261262264265266267269269270269269268268269269270270270270270270270270270270270270269269270269270269269268267266265264263262261261261262263264264264264264264264264264264264263262262262262262262261261261261261262262262261262262263263263263263265265265265265265265266265265264265264264264264263263262262261261259257255253253253254255256256256255254253252251251251249250249250250250250249249250252253254253253252251251249247245244243243243243243243243243243244246247249251252253253253253252252252252251251251251252251250250249248245244243243243243242242241241241242242243244244244244244246247247247248249248249249249249249249249249249249249249248248247247247247247247247247246245244244244245245245245245245245245245245244244244243243243243243244244244245244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239238236237236237239240241241240239239237237235232230230229230231233235237238999999999999999228227228227229221227228230231232233232232231231230229228228228229229230231232234236238239237238999999999999999999999999999999999999999999999999999999999999233230229228230230229228228227227226227228228228228229230230231232232232231230229230230230230230232232232232232233234234235234235234234234234234234236236237239239240240240241241241241240240240239239239240241241240240240239239240239239238239240240240240240240239240241244248249246247248249249250250250251251252252252252252251251251252251251250252256255255258258258258259259257999999999999999999999999999999999999999999999999999999999999221222224223225227226227234236236237238238240240239237237237238237238238238238239239238237235233234235236237239243244247250253254255257257258259260260261261261261261260259258258257257257257254249244245246247248249250250252251254254253256256254255256256255254252252252252253252253254254254254254254256258258260261261261261262263263264264264264264262261260259259260260261262262261261261262263263264266266267268269270269270269269268269270271271270270271271271271271270270270270270270270270270270270269268267265264263262262262262263264264264264265264264264264264263263262262262262262262261261261261261262263262262262262262263263263264264265265265265266266266267266266265265265265265264264263262262262261259256254253254254256257257256256256255254252251251251251250250250249250249249250251253253254253253253252251250249246244243243243243243243244244245246248251252253253254252252252252252251251251251250250250250249248247245244244243243243242242242242242243244245245245244245246247248248249249249249249249250250249250250250250250250249249248248248248247247247247247246246246246244245245245245245245245246246245245245244245244244245245244244245245244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259255999999999999999251999999245241239238236237237239240242242241240239238236235233231230230229230232235238241999999999999999230228228225224225228229230231231232233233233232231229228227227227226227228228229231233235236235999999999999999999999999999999999999999999999999999999999999999999999226227230229229229229229228227227229229229229230230230231231232233232232232231231231231231232232233233233233233233233234235235235234235235235236236238238239241242242243242242242242243242242241240240241242242241242241243242242242243243244244244243242241241241243247249249248249249249250251251251252251253253252252251252251252253252251254256255257257258258258258258260257999999999999999999999999999999999999999999999999999999999999221224222225225227227227232237238237238238239240241242241241240239240239239239240239238237236235235236235238241245246249253255257257258259260261261261262262262262262261261259259258258258257256251247246247247247248249250252252253255254255254255257256256256255255255255255255255255256256256256257259260261261261260261262263265266267267267268268268267267265263260260260261263264264264264265265265267268268267268269269270270270270270271271271271271271271271272271271270270270270270269269269269269270270270269267266265264263262262262263263264264264264264264264263263263262262262262262262262262262262262263263263263263263263263264264264265265266266266266266266266266266266266266265265265264264263262262262260257255253254254256257257257256256256255254253251250251251250250249248249249250251253254254254253253253252251251250249245243243243243244244245246247250252253254253253252252252252251251251251250251251251250249248247246244244244244244243243243243244244245245246246246246247247248249249249249249249250250250250250250250250250250250250250249249249248248248248248247247247247247246246245246245245246247245245244245246245245245245245245245245245245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259262262258999999262255250246245243241239238239238238240242243243243241239238237234231231230229229230235237240999999999999999225229230229227228228228231230231228232234234234235234231230228226225226226225226227228230233236236999999999999999999999999999999999999999999999999999999999999999999999999999229229230230230230229229228229230230231231232232232233234234233233233232232232232232232232232233233232232232231232234235235235236235236236236238239241242242242243242243242243246244243242242241240241243243244244243245245245244244245246246245243243243244248248248251251252250253252252251252252252253254254253253251253253252253253254256256256255257258259259259257255999999999999999999999999999999999999999999999999999999999221221224221223226226226227230234236236237237238239241242244244244242242241240240241240239237237236236236237241243247249253255257258258258260261262262262262262263262262261261260259259259258258257252249247247248248249250251253253253255256256256254254255256257257257256256256256256256257258259259259260261261261261262263265266267268269269269269269270270270269268264262261262264265266266266267267268269270269269269269269269270270271271271271271272272272272272272272271271270270270269269269269269269270270270270270269267265265263262262263263264263264264264264264263263263263263263262262262262263262263263263263263264264264264264265265266266266266266266267266266266267267267267266266265265265265264262263263262259256254253254255257258257257256256256255254252251250250250249248248249249250251252253254254254254254252252252251250249247246245244244245246248250252254253253253253253252252252251251252250251251251251250249247246246245244244245244244243244244245245246246246246246247247248248248250250250249249249250250250251250250250250250250250250250249249249248248248248248248247247247247246246246246246247246245245246246245245246246246245245245246245245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278266260260259255252259255246245244242240240238238238239242243244244243242240238236232230228227224221228999999999999999226229227228229229229229231234233233233232231234237238238237235234233232230226224224222223225226229232236999999999999999999999999999999999999999999999999999999999999999999999999999999999226228231231232231230231231231231231233233234234235236236236236235234233233232232232232232232231230230230230231232233235235236235236237237238241243242242244242243245246246247245245243242242240241242243244244245245246246246246246247248247245244245245247247249250253253253254252252254253253254255255255255255254253253253254254253256253253254257258260262260253999999999999999999999999999999999999999999999999999999999221220221223223225225226227227231238237237236237238240241241243243245245245246246244243242241239239238239240241244248250253256256257258259260261262263263263263263263263262261261260260259258259260257254250247247248248249249250252253254255256258257257256256256257258258258258259258258258259260260260260261262261261260263265267268268267269268269269269270270271271270268266263263264265267268268269270270271271271271270269270270271271271272272272272273273273272272272272271271270270270270270270270270270270270270271271270269267266264263263263263263263264264264264264263263263263262262262262263263263263263263264264263264265265265266266267267267267266267267267267266266266266267267266266266266266266265263262263263261257255254254256257258258257257257256256255254253251250249249249249249250251252252253255255254255255253254253251251251250248247247246246249250252253254255254253252253252252252251251251251250250251251250248247246245245245245244244245245245246247246247247247246247248248249249250250250251250251250250250250250250250251250250250250249249249249249248248248248248249248248248248248247247247247247247247247245246246246246246246246246246246245245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262261260259257255253250246246245242241240239238236238240241243243243243242240238235232230228227226214999999999999999999229231231231231232233234235237237236236235235236238239238238236235234233232228226222220223224225228232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231232233232232232233234234235236237239239240241241241240239237236235234233232232232230230229229229230230233232234235236237237237238239243243243244244244245245247247246246246245243243242240241242244247246246247248248247248248247247248246245245246248251253254254254253251254255254255255256258257256255257254255253254253253252251253254257259262262262255999999999999999999999999999999999999999999999999999999220222221222222224225226226227228233237238238238237237241241241242243243245246247248248246247246245244244244245245248250253256257258259259259261261262263263263263263263263262261261259261260259259259258255252248248249250250250251253254254254257257257256259260259259258258258258259259258259260260261261260262262262262261265268269270269269268268269269269270270270270271270269265264264266268269270271271271272272272272271270271270271272272272272272273273273273273272272271271270270270270270270270270270270270270270270270270270268267265264264263263263263263264264264263263263263263263263262262263263263263264264264264265265265266266267267267267266266266266266266266266266266266266266266266266266266266267265263263262262259256254255256257258258257257258257257256255254253251250249249249249251251252253254254255256255255254254252251251251250250248248247248250251254254254255254253253253252252252251251251250250249250250249247246245245245245245245245246246247247248247247248247248248249249249249249250251251251251251250250250250251251251251251250249248248248248248248248248249248248248248248248248248248248248248248248247246246246246246247246247246246245245245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261260260258257257254253250248246244242241240239236236237239241241242242242241240238234231229228227228228230233232232234234235235234235235236236236238238239238237238238238238238238237236235234233231228223221220222223225227230233230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229231232231232234235237238239241242243243242241240239238237236236235235234234234233232232231230230232232236235236236237237238240243243244245245246246247248248248248246247247245244243241242243245247247248249249248248248249248249249248248247248251252253254254254253254255257258258256257257258258255259257257256257256253252252254255257260261261261999999999999999999999999999999999999999999999999999999999225226224223223225224225227227230235236238238238239239241242242241242243244246248249250249250250249249248248249249251252255257259259260260261261262262263263263262263263262261262261260260260259259259258256252250250250251251252253253254255256257258257257259261261261261260259259259259260262261261262261261262263262262263265269270270270268268268269269269270269270270270271270267265265266268269271272272272272273273273272272272271272272272272272273273273273272272272271271270270270270270270270270270269269270269269270270270270269268266265264264264264263263263264264263263263263263263263262262263263264264264264264265265266266267267267267266266266265265265265266265265266266266266267267267266266267266267266264263263263261258256256258258259259258258258258258257255255254253252251251251251252252252253253254256256256255254253253251251251250250249248249250251252253254254254253252252252252251251251251251250250249250249247246246245245245245245246246247248248248248248249248248248249249249249250250250252252252252251251250250251251251251251250250249248248248249248248249249249249249249249249249248249248249249249249248247247247246246246247247246246245245245247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258261261260259258257255253251250246244241240239239239238239238239240240240239238237234231229229228229231233235239239239239238237236237237237237237237238238237237237238237237237237236234233233231228225221220220221222224226230229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230230231235238240240241243243241239239238237236236234234234234233233232232232232231230231230232233237238239237237238240242244245246246247248249248249249249248248247247247246244242243244246247248249249250250249250251251251250250250250251250250253254254253253255256258257257257258260262263260263260260258259257255255256256258258259259260999999999999999999999999999999999999999999999999999999999226230227227229227226225227229230235237237239239240241240242241242242242243245248250251251251251251250250250251252252253256257259259260261261261262262262262262263263263263263262261261261259260259258258257256253251251251252252253254253254255256256258257259260260261262263262262261260260262263262262261262261261262263264264268270271272271270269269269269270270270270271271271271270267266267268270272273273272273273273273273273273272272272272272272273273273273272272271271270270270270270270270270269269269269269269269269269270270270269267265264264264264264263263263263263263263264264263263263263263264264265264264265266266267267268267267266266266266265265265265265265266266266267267267268268267267267266267268266264263262262259258257258258260259259259258258258257257256255254254253253252252252252253253254254255256256255254253252252252250250250250250251251252252253254254255254252253253252252251251250250249249249250248247246245245245246246246246248248248249249249249249249250249249250250250250250251252253252252252251251250251251251251250250249249249248248249248248249249249249249249249249249248249248249249249248248248247247247247247247247246246245244246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254264262262261261259257255253251248244242241241240239237238237237238238238238236235234232230229229230232235238240241240241240239238237237237238238238239239237237236237238237236237236234233232230227223220219220221221224226238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228231232235238240241243242241239239240240239237235234233234234233233232232231232229229229231231233234238238236237239242244246247247247248249250249249249251249248248248246247246246245246247248249249249248251251252252252252251251251252251251254254254254254255256256257257257257259259262261260260262262261260259259259258258259256259257258999999999999999999999999999999999999999999999999999999999228229229230229231225225226229232237238238240240242240241241241242242243244247249250251251251252252251252252253253254257258259260259261261261261261261262262262263263263264264262262262261261260260258258257255253253252253254254256256256256256257258258259260260260260262264265263262262263262262262262261263261261263264266268269271272272271271270270269270270270271271271271272272272268268268268270272273273273273273273274273273273273273273273272273273273273272272271271270270270269269270270270269269269269269268269268268269269270270269268266265264264264264264263263263262263264264264263263263263263264265265265265265266267268268268267267266266266265265265264264265265265266266266266267268268268267267267267267266265264263262261259258259258259259259259258258258258258258258257256255254254253253253253253254255257257256256255254253253252251251252251252251252254253254255255254254252252253253252252251250250250249250249247246246246246246247247247248248248248248249249250250250250250250251251250250251252253254254253253253251251251251251251250249249248248247248248248248248248249249249249249249249249249248248248249248247247247247247247247247247247246246245245245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253263264263263262260257255253249246243243242240240238236236237237236236235233233232231230229228229231234238240240240241241240240239237237237237238238239238237237237238237237237236235234232230227223218218219219220224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230234236238240241243241240240241241240239238237235234234233233232231232231230230229231231231233236238238238239240243246246248248248249249249249249251251251249249249249248248248247248248248248250249250251253253253252253253252252252252254253255254255254256255256256263257257259262262261261261261263263262262261261260258258257254256999999999999999999999999999999999999999999999999999999999999225234230228227228226227228230234238240240240241242241241240241242243244245247250251252252252253252252253254254255256258260259260260261261261260261262262262263263264265265264264263262261262261260259258258255254254254256256258259260260260261260260261260261262261261261263265265265264263262261261260261262262264265266267268270271271272272270269269269270270270271271271272272272272270269269269270272273273273274274274273274274274273273273273273273273273273272271271270270269269269269269269269269269269269269269269268268269269270270269269267265265265264264264263263262262263264264264264263263263264264265265265266266267268268268267267266266265265265264264264264264265265265266266266266267267268269268267267267267266265264263261260259258258259260260259259259259259259259259259258257256255254254253253254254255256257256256255254253253253252252251251253254255254254254255256255255253252252252252252251251250250250249247247246246247247248248248248248248249249249249250250250251250250251252251250250251252253254254254254253252251251251251251249249249249248248248247247248248249249249250250249249249249249249248248248247247247247248248247247247247247247246246246245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256266265266264264262260257254251248246245244242241238237236236236236234232231232229228229227224226231233237239240240241241239239238237238237238239239239239238238238238238238238237235234232230228223219218218218221224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232235236238240242243242242242243243243241240239240236235237233232231233233232233232231231231233237239237238239241245246247248248249250252250250252252252250251252251250249248248248249249249250251252253252254254253253253253252253253253253255256255255254255255255256258257256260261262262261261261263261264262261262260259258256255255999999999999999999999999999999999999999999999999236230230999227229231230229227227227229231235239239241240241240241240240241242243244245248250251253253254254254254255255254255257258259260261262262261261261261262262262263263264265265265265263262262261260260259259257255255256256258260260261263263264263264264264264265265264264263264265265265265263261260260260261262262264265266268269270271272273271271270270269269270271272272272272272272272271270269269271272273273274274275274274274274274274274273273273273273273272271271270270270269269269269269269269269269269269269269268268268268269269270269269267265264265264264263263262261261263264264264264263263263264264265266266266267268268268268267267266266266265265264264264264264265265265265265266266266266267268268268267267267266266265264261261260259258259259259259259260260260259260259259258257257256255255254254254255255255257257256255254254254253253253253253253255254254255255256256255255255253252252252252252251251250249248247248247247248249249249249250250249249249249250250250251251250251251252252251250251252253254254254254254253252251252251251250250249249248248248247247248249249249249249250250250249249249248248248247247247247248248248248247247247247247247246246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275262258259259264262258253250249248246246244242240238236236236236235234233233231228226225224226229232235237238240239240239239238238238238238238238239239239239239239239239238237236234232231229225223223217217220224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232235237240242243243243243243244244243242242239236235234233233233233233233234233231231232234237239239239240242245246248248247249250250250251252253251251251253251251249249249248249249250251253253255254254254253253254254253254253254255255256255255254256259257258258259260263262260261262260261262999261263262263261259258258256255999999999999999999999999999999999999999999999237235233232232227229230229229228228230233235237239238240240241241241240240241242244245246249250252253254255255255256255254255257259259260261262262262263263262262263263263263264265265265265265264263262261261260259260257256256257258260262263263264265267267267267268269269269268268267267266266266265263260260260261261261264265266267268269270271272272271270270270270270271272272272272272273273272271270269269270272273273274274275274274274274274274274273273273272272272271271270269270269269269269269268269268268268268268268268268268268268268269269269268267265264264264264263262261261262263264264264264264263264264265266266266266267268268268267267266266266265265265265264264264264264264265265265265265266266266266267267267267267267266266265262261261260259259259259260260259260261261260259259258257257256255254255254256256256256256257257256256255255255256256255255255255255254254257255256257257256256253252252252251251250249249248248248248248249249249250250250251249250250250250251251251251251252252252252252251251251252253253254254254253253251251251251251250249249249249249248248248249249249249249249250250250249248249249248247247247248248248248248248248248248248248247247246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260258257261251250999253250248247246244242240238237237237236236235235234232230228226228229232235238239238239239239238238237238237237237237237238240240240240240239239238238236233232231229229227218215219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230232235238240242242243243243242242243241241239236235233233233233233233234232232230232234236238238239239241244246246246247248251250250252251252253251250251253252250249249250249249250251252253255254254254254255255255255255257256255255254255256256256257259259259258261260261263262261261261261999999261263264263261262258258256999999999999999999999999999999999999999999999235237240239238231229228229228228229229232235237239241241242242242242241240241241242244246248250252252253254255256256255255255256256259259259260262262263265264264264263264263264264266265265265266265264263262261261260259257257258257259261263266266267268269268269270270271271272271270269270269268267268266263261260261261262265267268268268269270271272272271271270270270270271272272272272272272272271270269270269270272273273274274275274274274274274274273273273273273272271271270270269269269269269269269268269268268268268268268268268267268267268268269269268267265264264264264263262261262263264264264264264264264264265265266266266267267268268268267267266266265265265265265264265264264264264264265265264264265265266266266267267267267267267266265264262261260259259259260260261260261261261260260259259258257257256255255255256256256256256257256256256257256256256257256256256256256256256256256256257257257257256254253252252251251251250249249249249250250250250251251251251251250250251251251252252252252252252252252252252251251252253253254254255254254253252251252251251250250250250250249249249249249250250249249249249249249248248248248247247249249248248248248248249248248247247247247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249248248247245243242241239239238237237237238237235234233230229231232233236239238239239238237237238238237237237236237237240241241241240240239239239237235235235235233229219213214221226230999231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231234236238240240242243241240241240239238236235234234231231231232234238233232230231235237238239238239242245246246246247249250250252252251252252253253254251252251249250251251251251251252253255254255255255255255256256257257258257255256256258256258258258258260260260261262262262261262262262999999999265265263262260254253999999999999999999999999999999999999999999999999236239240235235233229228228228227228231233237239241240240241242242241240240240241242245246248250251252254254254255256256255256256256258258258260262263265265265264264264264263264264265265267265265265264263263262261260258257258258259260263264266268268268269271272273272272272272271271270270269268269269268268265262261261262265267268267268269270270272272272271271271271271272272272272272272272272271270269270270270272273273274274274274273274274274274274273273273272272271270270269269269268269268269269268268268268268268268267267267267267267268268269269268267265264264264263262262261263264264264264264264264264264265266266265266266267267268268267267267266265265264265265264264264264264264264265265264264265265265265266267267268268267267266265264262261260259259260260261262262262262262261260260258258257257256256256255255256256256257257256256256256257257258257257256256257256256256256255256257257257257257257256255253253252251251250250250250251251251251251252252252252251251251251252252253253253253252253253252252252251251252253254255255255255254253251251251251251251251250251250250250250249250249249249249249249248248248248247247249248248249248248248249249248248247247247247248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248247247246246244243242241240239239240240240239239235235233233233233235237238237236236236236237237237237236237237238239241242241241240240240240240239238237236234230221208213222225230999999999999999999249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232235236237238241243242242241240238238238236236234232232232235237239233232232233236239239240239241243245245246247248249250250250249249251252252253251252251251251251251252251251252253255255255256256256255255261256258258260256256257258257259259259258260260261263263262260261261262258256999999264266266262259252999999999999999999999999999999999999999999999999999999231236236231230229229230229229228229230234238240240240239240240241241241241241241242245246247248250252252254255254255256256255256256258258260260262264265265264264264264264265265266266265265264265265265264263261261260259259258258260262264266266267269270270271272274273272272271271270270270268269270270270270268266264262263265266266268268270272270271272272272272271271271272272273272272272272271271269270270269270272273273274274274274273273273273274274273272272272272271270269269269269269268268268268268268268268267267267267267267267267267268268269269268266264264264263263262261261263264264264264264264264264265265266265266266266267268268267267267267266266265265265265265265264264264265265265265265265265265265265266266267268268267267266265264262261260259260260261261262263263263263263262261260259258259258257256256256256256257257257257257256257257257257257256256256256256257256256256256257258258258258258258257257255254253252251251251251252251251252252252252252253252252252252252253253253254253253253253252252253251251252253253255255255256255254253252251252252252251251251250250250250250249249249249249249249248248248248247248248248248248248249249248248247247247247246247248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253248248247247248247245244242241242243243243243241999999237237235236235234235235236236236236236236236236236237237238239241243242242241241241241241241240239237235232226206214224224224226235999234236240244252247248999248240999999999999999999999999999999999999999999999999999999999999999999999999999231234236237239242244242242240239238238236235236233237237237238239233232233236237239239240240240244245248247247249250250250252251249251251251252251251252251251251251252251252253254255256256256257257259259260260260259257258259258260260262260260262262263264264263262261262262262258259999264266263262260999999999999999999999999999999999999999999999999999999999999999236233229227228229228232230230231232236239241241241240240240241242241242242243244245247247248249250251254255255255257255255256256258259260261263265265266265265265264265265266265266265265265265265265264263262261260260259260261262264266267266267269271271272273274273272272273273272272272270270270271271270269269268264264265266266269268271272270271272272272272272272272272272272272272272272271270269270270269270272273273273274274274273273273273273273272272272271271270269269269269269268268268268268268268268267267267267267267267267267267268268269269268266264264264263262261261262264264264264264264264264264265266266266266266266267268268268267267267266266265265265265264264264264264265265265265265265265265265265265266267267267267266266265264263261260260260261261262262262262263263263263262262261261259258258257257256257257257257257257257257257257257257257257257256256257257256256257257258258259259259259259259258258257255253252252252252253253253253253252252253253254253253253252253253253253253253253253253253253252251251252253254255256257256255254253252251252252251252251250250250251249249249249249248248248248248248247247247248248248248249249249248248248247247247246247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256255247248250249249248247246245244245245244999999999999999238238238237235235235237238237237237236236236236237237239239241243243242242242242242242242242241238236234232225221227226223223229233236238239240244245248245253246999999999999999999999999999999999999999999999999999999999999999999999999999999231233234236240243243243240239238235233234238237238237237237237236234234238240241240240242243244245247248248252252251251252252251252251250251251251251251251251252251252253254255257255256257257259259259260260260257258260260259261263264261262264265266266265262261262263263260259260261264262262263999999999999999999999999999999999999999999999999999999999999999999237231229227229229230230231230230232237239240242241240241241242242243244245246245246248248248249250250251253254255256255256256257257259259262263264265265265265265265265265265266265265266265265264264264262262261260260260261262265266267267267268270271271272273274275275276275275276276274274272273272271271270270270268265265265266269269269272273270271272273272272272271272272272272272272272271270270270270269271272273273273274274274273274273273273273272272271271271270270269269269268268268268268268268268267267267267267267267267267267267268268269269267265264264263262262261262263264265265264264264264265264265266266266265265266267267267268267267267267266265265265265265264264264265265265265265265265265265265265265266266267267267267266266264263261261260260261261261262263263263263264264263263262261260260259258258257257258258257257257257257257258258257257256257256257257257256257259258259259260260260260260260260259259258258256255254254254254254253253252253253253254254254253253253253254254253253253253253253253253253252252253254254256256256255255254253252252251251252252251251251251250249249249250248249249249248247247248248248248248248249249249248248247247247247247247246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250250247250251251251251251249248247249999999999999999999999999999238237237236237238238238237236236236235235236237239239240243243243243243243243243242242242240238236235233231230230228227227231235239239239241245245247249245999999999999999999999999999999999999999999999999999999999999999999999999999999999230234235238241242242241241240238237238237238238237238237238233235239241241241240242243244244246247248249252253252252252253252253252252252252252252252252252253253254255256258256256256259260259260260261259259259260261260261263265265266266266266265265263263263263264262261261262260265266267268999999999999999999999999999999999999999999999999999999999999999999233231229228230230231230231230231233238239239240240240241242242243244246249248248249250250249249250250252253253254255255256257257256258257260262264265265265266266265265265266266265266266266265265264263262261261260261261263265266267268268269270271271272272274276277278278279279277278277277275275275273272272271271270268266266267269269270270273269271272273273273272272272272272272272272271271270270269269270271272273273273274273273273273274273273273272272271271271270269269269269268268268268268268267267267267267267267267267266266266267267268268268267266263263262262261261263264265265265264264264265265265265266266265265265266266266267268268268267267267266265265265265265265265265265265265265265265265264265265265265266266266266266266265264263262261260260259260261262263264264264264264264264263262262261261260260258258258258258258257257257257258257257257257256257257256257258258258259259260261261261261261261261260260260260260258258257256256256256255254254254254254255255254253253253253254254254253253253253253253254253252253253254255256256256256256255254252251251252252251251251251251251250250249250250249248248248248248248249248249248249249249249248248248247247247246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246247250250250252252252252252251250249248999999999999999999999999999999999237238239240238237236236237235234234234235237238240243244244243243242242243242241242241241239237236234232231232232234237239241240239240242243245246247251246247999999999999999999999999999999999999999999999999999999999999999999999999230233234237238239240241242242241240243240238237235237234235236237239240242242242242244244245246245249250253253254253253253254254253253253253253253253253253253254255257258258257256259260260260261261260260260260261261260262264266266266267265264264264265263265264264264262262261267266268268999999999999999999999999999999999999999999999999999999999999999999999999229229229230231232231230230232233237240239240241242242243243244245247249250250251251252253252253252252253254255254254255256256257256257257260263265266266266266266266266266266266265267266265265264262262261261261262263264266267268268269270271272272273274276278278278278279279279279279278278277276275274274272271270269268266266268269270271271269271271273273273273272272272272272272272271270269269269269269271271272272272273273272272272272272273272272271271271271270269269268268268268268268268267267267267267267267267267266267267267267267268268268267265264263262261261263265266265265265265264264265265265266266266265265265265266266267268268269268268267266265265265265265265265265265265265265265265265265264264265265266266266266266266265264263262260260259259259261262263264264265265265264265264264263263262261260259259259258258257257257257257257257257256256257256256257258258259259259260261261262262262262262262262261261261261260260259259257257258257257256256255256255255254254254252252253253254254253253253253254254254252253253254255256257257257256256256255253252252251251251251250251251251250250250249249249249249249249249249249249249250250249249249249248248247247247246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247249250250253252252252252251251250999999999999999999999999999999999999999999999999999999999999999999234231231230233236237239242244244244244243243243242241242242242241240238237236236235236237239240241241240242242243244247246999249999999999999999999999999999999999999999999999999999999999999999999999999999999221235236238237240241243244245245244241241239236237234235237239241242242242242242244245245246248249250254254254255255254254255254255254254254253253254253254254256257257258260259259261261262262262261261262262262263262263264266268268267266999999264266265265265264265264264268268267263999999999999999999999999999999999999999999999999999999999999999999999999999229231232232232233233231230231235235239240241242243243244245246247247248250250251252252254254253254255255255255255255256256256256256257257257262263265267267266267267266267267266266267265266266264263262262262262263265266267268268269270271272272273275276278279279278278278278278279279279279278278277275274273271270270269268267267271271271271272271271273273274273273273272272272272272270270270269269269270270271272272272272272272272272272271272272272271271270271270269269268268268268267268268267267267267267267267267267266266267267267268268268268266265263262261261262265266266265265265265265265265265265266266265265265265265265266266267268269268268267267266265265265265265265265265265266266265265265265264264264265266266266266266265264264263262261260259259260262263264265265265265265265265265265264264263262261260259259258258258257258257257258258257257256257257257258258258259259260261260261262262262262262262262262262262261261261260260259258258259259258257257257257257255255253253252252253253253253253253253254254254253254253254255257257258257257257257256255254253252252251251251251251250251250250249249249249249250250250250249250250251250250250250249248247247248247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248250250252252253253252252999999999999999999999999999999999999999999999999999999999999999999999999999999999228231234236238241243244244244244243243242241241242242243242240240239239239238238238237237238239240242242243244245246249251248999999999999999999999999999999999999999999999999999999999999999999999999999235237236237238240242242244243246244243241240238237236236240242242242244243243244246246248248248250253254254255256255253254254254255255254254255255255254255257258258258261260260261260262264263266262262264264263262263265267267999999999999999266266266265263264265267268270267999999999999999999999999999999999999999999999999999999999999999999999999999999999231231232233233234234233231232233235238240242243244244245246247248249249249250251251252253254254254255255255255255256256256256256256256258258259260264266267266267267267267267267267267265265265264263262262262262264265267268268269270272273273274276277277278279278279279279279279280279278278278279277277277274273271271270269268267270271272272272271272273273274273273272272273272272271270270270269269269269270272272273273272271271272271271270271271270270270270270270269268268268267267267267267267267267267267267267267267266266267267267267268268267265264263262261261263266266266266266266265265265265266266266265265265265265265265266266266267268268268268267267266265265265265265265266266266266266266265264265265265265266266265266265265263263262262260259260260261263264265265265266265266265265266266265265264264262261260259258258257257257257258258258257257257257257258258258259259260261261261262263263263264263263263262262262262262261261261260260260260259259258258257257257257255254254253253253253253253253253254254254255255255254254255257258258258258258257257256255254253253252251251252252251251250250250250250250250250250250250250251251251251251250250249249248248248247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253252250253252252252251250999999999999999999999999999999999999999999999999999999999999999999999999999999999229232233234238240243244244244244243244242242241242242243243242240240240239239238238238238238238240240240240241243245248248249999999999999999999999999999999999999999999999999999999999999999999999999999234237237239237239240242242242243245245245243242240237237240242243242244244244244246248249248247248251254255257258259255254254254256256255254256257257257257258261259261260261260262261263266269269268264269264262264263266268999999999999265266266267267267265267266270269267999999999999999999999999999999999999999999999999999999999999999999999999999999999233230234233234234235235234233233233234236238239241242243243245246248249250251252252253254254254253254255255256256256256256256256256256256257258258259260263265267268267267267267267268267266265265264263263263263264266267268268269271273273273275278279279278279280281280280279280280279278278278279280280279278276274272271271270269268270271272272272271273273273273273273273272272272271270270270270269269269270271273273272272272270270270271270270269270269269269269269270269268267267267267267267267267267267267266267267266267267266267267267267267267266265264263262261262265266266266266266266265266266266266266266266266265265265265265265265266266267268269268268268267266266265265265265266266266266266265265265265265265265266266266266265264263262262262261259259260262263264265265266266265265265265266265265265265264263263261261260258258258258258258258258257257258258258259258258259260261262262262263264264264264263263263263262262261262261261261261261261261260259259258258258257256255255254254254253253253254253253254253254254255255254254254256257258258258258258258257256256254254252252252252252252251251251250251251250250250250251251251251251251251251251251250250250249249249248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250250250250251251999999999999999999999999999999999999999999999999999999999999999999999999999999999231229231232234236239242243243245244244243243242242243243244243243242241240239238239239241240237238239238239240242242245246247999999999999999999999999999999999999999999999999999999999999999999999999999999999236238239239241244247243243242243244246244246243241239239241243243246244245244246249250250248248249253255256259261259256256255255255254254256256258257258259260261259259259261263265267269270269269267269267266264264267269999999266265267266266270270271269270269270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230231231233233233234234233233233233233234236239241243245247250252254253253254254255255255255256255256256256257257256256256256256256256257256257258258258260261265267267267267267267267267266266265265264265265265266267267269269271272273273275277279280280280280281281280281280280280278278278278278278279279278277276274272271270269270269270272272272271273273273273273272272272271271272271271270270270270271272272272272272272270270270270270269270269269269269269269269269269268268267267267267267267267267267267267267267266267267267267267267267267267265264263262262262263266266266266266266265266266266266266266266266266266266265265265265265265266266267268269268268268267266265266266265265265265266265265265265265265265265265266265265264264263262262261260259259260262263264264265265265265266266265265266265266265265264264263262261260259259258258258258258257258258258258259259259260261262262262263264264264264264264263263263262262261262261261261261261261261261260259259259258258256255255254255255254254254254253253254254254255254254254254254255257258259258259258258258257257256255254253253253253252252252252251251251251251251251251252252252252252251251251251251251251252251251251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230230231232233235239242242243244244243243243243243242242243243244243243241240239241239239238236237238238238241242242244247247251999999999999999999999999999999999999999999999999999999999999999999999999999999236240239238240244246247248242242245248246248247245243242240241243245246246246246248250251250249250251253255259261262259257257255254253255256256258257260261261258257257259261264267268268270268270269269268267267268268269269999999999268269269269272271270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230231232232233234234236236234234234234238242244245246248251252254255256257258259260261261260260260260260260261260260260261259258258258258257258258258257257258260264267267268267267266266266266265265265266267267268269269270271273272273275277279280280280281280281281281281280279278278278278278278278278278278278276276273271270270269269270272272272271273273273273272272271271271271271271272272272272272272271271271271271271270269269269269269269269269268268268268268269269268267267267267266267267267267267267267267267267267267267267267267267267267265263263262262262264266266266266266266266266266266266266266266266266266265265266265265265265265265266268268269268268267267266266265266266265265265265266265266265265265265265265265264264264263262261261260259259261262264265265265265265266265265265265265266265265265264264264263262262260260259258259259258258258257258258259259259260262262263263263264264264265264264263263263263262262262262262262261261261261261260260260259259258257256255255255255255255254254254254254254255255255255254254254256256258258259259259258258258258257257256255254254253253253253253253253252252253253253254253253253252252251251252252252252252252252252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227229230232233236239241242243244245244244244244243243242243243243244245244242241241240239239235233234237238239240241999246999999250999999999999999999999999999999999999999999999999999999999999999999999999999236241240239238240242244247243244245246249250249249246245243242242243245246247247247250253251251251251251254257261264261259258255255256257258257258259260262260258258258262264265266267269269268269269270269269269269269271268999999999262268266273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232231232232234235236237240239237237237240243245246247249249252254255259259261263265266267267268267266267267267268268268268269268267265266265263263262261260260260259261263267268268268267268267266266266266267268269269270270271272273272276278279280280281281281280281281281279278279279279279279278278277278277277277277277274273272271271270269270272272270272273272273273273272272271271271272272273274273271270270270270270269269269268268268268268268268268268267267267267268268268267267266266266266267267267267267267267267267267267267267266266267267265264263263262262263265266266266267266266266266266266266266266266266266266266266266265265265265264265265266268269269269268267267267266266266266265265265266266266266265265265265265264264263263263262261260260260260261263264264265265265265265265265265265265266265265265264264264264263262261260259259259259259258258258259259259259260261262263264264264264265265265265264264264264263263262262262262262262261261261261260260260259259259258257255255255254255254254254254254255255255256255255256255255256257258259259259259259259259258258257257256255255255254254254254254254254254255255255255254253253253253252252252252252252252252253253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244242239234999999227228229231233234237240241242244246245245244244244244243242243243243243244245245244243241239238236233234237239238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234241241240238238238243242246247247246248250250250250247246244243244245246246248250250253253253254254253254255261264264260259256256256257258258262261260259258258261263263263264265267268269269268269270269269269269270270268999999999260264267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234233233233234237237239241242241241242243244245250252252253254258259261264264267268269270272274273272272272273272272273273272274274273274273273272269268268267267265265265265266267268269269269269268267267267268269270271270270270273274276278279279280280280281281281281280279278278278279279279279279278278277277276276277276276276274273272271270270271271270270272273273273272271271270270272272271270270270270269269269269268268268268268267268268267267267267267267266267267267268267267266266266266266267267267267267267267267267267267267266266266266266265264263263263263264266266266266266266267267267267267267267267266267266266266266266266265265265264265265265266267268269268268268268267267267266266266265266266266266266265265265265264263262263262262261260260261261262263264265265265265265265265265265265265265265265265264264264264263263262261260260259259259259259259259259258259260261263263264264264264265265265265265264264264263262262262262262262262261260261261261261260260259259258257256256255255255255255255255255256255256256256255255255256256258259259260260260260260260259259259258258257256256255255255255255255255256255256255255255253254254253253252252252252252253253253253254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251247245243242240238234230229229229230231232234237240240242244245246245245244244244243243243243243243244245244244244242239237236235237238228237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241242239237236238240243247247247245246247247248250248247247246245246247248250252253256256256257255254255259262265266265263257257258258259259259262260260261261263263263263264265265266267268268269269268269269270270270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234234234235237242240241241241242243243243245248251254255258260263265266267268270272273274275276275276276276275276276277277277276276276276276276275275274273273272271271271270269268268268269269269268268268268269270270270270271272274277278279279279279280280281280281280279276276276276277277277278278278277277276276275276275275275274274273272272270270271271269269272272272271270270269270270270269269268269269269269268268267267267267267267267267268267267267267267267267267266267267267267267266266267267267267267267267267267267267267267267266267266265263264263263263263265265265265265266267267267267267267267267267267266266266266266266265265265265265264265264265266267268268269269268268268267267267266266266266266266265265265265265264263263262262262262261261262262263265265265266266266266266266265266265266265265265265265265264264264263262262261260259259259259259259259259259259260262262264264264264265266266266266265265264264263263263262262262262261261261261261261261260260260259259258257256255255255255255255255256256256256256256256256256257257258260261261261261261261261261260260259259258258257257257256256256256256256256255255255254254254254253253252252252252252253253253255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256252250246244241239237236233230230230231231233233234238239241243244246246245245245244245243242243243242242243244244245244244241239235235238239237240246999245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230240242242237237237239241245247249246244244245247249248250249248247249249252253255256257258259258256257259263264266266267264262257257259259261262262260260262266266264264264264265265266266269269269268270268272270268271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234235237237237240243242243243242242241243245248252253257259263266267269270271273273274277277278278278278279278279279280279278278278277278278278278277278277276277276276275275274273273272271270269269269269269269269270270271272273275277278279279279280279280280281280280278276275275275275275275275276276276276277277276276276276276275276275275274273272271272271271270271271271271270269270269269269269269269269269269269267267267267268267268268268269269268268268268268268268267266267267267267267267267267267267267267267267267267267267267267267266267266265264263263263264264265265266266266267267267268268267267267267267267267266266266266265265265265265265265265264264265266267268269269269269269268268268267267267266266266266266266266265264264263263263262263262262263263265265266266266266266266266265265265265265265266265265265264264264264263263263262261260260259260260260260260260260261262262264264264265266265266266266265265265264264263263263262262262262261261261261261261260260260260260259258257255255255255255255256256256256256256256257257257258258259261261261261261261261262261260259260260259259258258258257257257256256256256255256256255255255254254254254254254254255254254254255256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248254253251248246244241239238236234232231230231231232233234235238240242244245247246246245245245245244243242243242243244245245245245246245243240239241241242243241244254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229248240240238236236237242245247247247243245244246247250250249250249252252254256258258258259259258258260266267267268270267264260259261261261261264263264263265266266265266265265265264265267267269270270271270270270270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236237238238239241244244243243241241243246248251254259260264268270270273273273275276278279279280280280280280280280280280280280280279278279279279279278279279278278278278278278277276276276275275274273272271271271271272273274275277278279279279279280280280280281281280278276275276277276276276276276276275275275276276277277276276276276276276276275274274272272272271271271271270270270270269269269269268268268269269269268267267267267268268268269269270270269269269269268268268267267266267267267267267267267267267267267267267267267267267266266267267266265264264263263264265265265265266266267268268268268268268267267267267267267267267266266266266266266265265265265265264265265266267268269269269269269268268267267266266266266266266266266265265264263262262262262262263263264265265265266266266266266266265266266265265265266265265265264264264264263263262262261261260260260260260260260261260261262263264265266266266266266266266266265265264264263263263263263262262262262262262261261261261260260260259259258256255255256255256257256256256256256257257257258258259260261262262262262262262262261262261261260260260259259258258258258257257257257257257257256255255255255255255254255255255255255255256257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254252248244243241241238238237235234232231232232234234235237239243244246246247247247246245246245243242242243243244245245246246246246247246245243242242244244242244253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239240243241241237237239243246247248246242242244245247249249251253255254255256259260260257258258257261265269269269268269268264265265263262261263264263264266265265266266266266266266266265267268270271271271271271269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235237238240239241244245245243242241243246249250252259261264266271272272275276277278279280280281281282281281281281281281281280280280279279279279280279279279279279279278278278279279277278278278278278278277276276275276276277278279279279279280280280280280281281281280278276276276276276277277277276276276276275275275275276277277276277276277276276276276276274272273273270269269270270271270269269269269268268268268267267267267268268268268269269269269269269269269269269269269268267267266266267267267267267267267267267267267267267267267267267267267266266265264264264264265266266265266267267267268268268269269269268268268267267267267267267267266266266266266265265265264264264264265266267267268269269269269268268267266266266266266266266266265265264263262262262262262262263264265265266266266266266266266266266266266266266266266266266265265264264264263263263262262261261260260261261261260260261262263264265266267267267267267266266265265264264264264264264263263263263263262262262261261261260260260260259259257255256256256256256256257256256256257257258258259260261262263263263263263263262262262262262261261260260258258259258258258258258258258257257257256256256256256256256256256255255255256256257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251254252250248244241241240239238237236236235233232233234235236238240242245246247247247247247246246246245245244244244244245245246246246247247247248248245244244244245241241246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230244242241242242242243247248248249249243242243245247249250254254257257258260261259258259258257261264267269270269268264266266267267265264263263266267268266265266266266267267267267267267267268270273272273271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235238238240241242245245243243242243244247249251256260263266269272274275276278279280281281282282282282282282282282281282283281281281280280280279279279279279279279279279279279279278279279278279280280280280279279280280280280281281280280280280281280280280281281280278276275276277277277277277277277277276276275275275275276276277277277276277276277277277277276274273274272270270269270270270269269269268268268268268267267267268268269269270269269269269269269268269269269269269268268267266267267268268268268268268267267267267267267267267267267266266266265264264265265266266266266266267267267267268268268269269268268268268268268267267267267267266266266267266266266265265265264264264265265266268268269269270269268267266266266266266266266266265265263263262262262262262262262263264265265266266266266266266266266266266266266267267266266266265265265264264263263263262262261261261261261261262261261263264265265266267267268267267267266266265265265264265264264264263263263263263263263262262262261261260260260259259257256257256256256256256256256257258258258259260261262263263263263263263263262262263262262262261260260260259259258258258258258258258258258257257257257257257257256256256256256256256257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250251248246243241238239239238238237236234234234234234235237238241242244245246247247248247247247246246246245245244244243245246246247247247247247248248246245242239242243246249248999999999999999999999999999999999999999999999999999999999999999999999999999999999999234242242243245245244247249250249253248245245245248251252252254255257259262263261261260261260261263267271272270268999999266268271270269267265265267266266266266267267267267267267267267267268270271273272271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235237240241243242244244242244244244245248250255258262265268271274276276277279280281282282282283283283283283283282282283283282281281281281280281280279279279279279279279279279279279279279279280280280280281280281281281281282281281281281281281281280280280280280277276275275277277277278277277277277277276275275275275275275276276277277277277277277277277278277277275274274270270270270270270269269269268268268268267267267268269269269270270269269269269269269269269269269269268268268267267266267268268268268268268267267267267267267267267267266266266265264264265266267267267267267268268268268268268268268268268268268268267268268267267267267267266266266266266266265266265265265265264264265266267268269269269270268268267267267266266266266266265265264264263262262262262261262262263264265266266266266266266266266266266266267267267267267266266266265264264264263263262262262261261262262262261262262263264264265266267267268267267267267266266266265265265265264264265264264264263263263263262262262261260260260260259258257257257257256257257257257258259259259260261263263264264264264264263263264263263262262262262261260260259259259259259259259258258258258257257258258258257257256256256256256256256257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251999999999999246247245245243241239239239239237236236235235234234236237238239242243244245246247247248248247247247247246246245245245245246246248247248247247247248248249246242241244247250251252999999999999999999999999999999999999999999999999999999999999999999999999999999999999229236243247249248248251251253256255248247248249253253253254255256257261263263264260263261262264265268273272266269270270271271273275273271269268267267267267267268268269268268268267267268270271272273272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234239239241243242243242242244246246247248254259264265271273275277278279280281282282283283283284284284283283283283283282283282282281281280280280280280279280279280280280280279279279279279280280280280281281282282282282282282281281281281280280280280280280279277275274274276277277278278278277277277275274274274274275275275276276276277277277277278277277277277277276275273271270270270269269268268268268268267267267267268269269269270270270270270270269269268269269268268268268268267267267267267268268268268268268268267267267267267267267266266266265265265266267267268268268268269269269269269268268269268268268268267267267267267267267267267267266266266267267266266265265266265265265264264265266267268269270270270269268268267267267267266266266265265265264264263262262262262262262263264265266266266265265265265266266266267267267267267266266266265265264264263262262262262261261262262262262262262263264265266267267268268268268268267267267266266266266265265265265265265264264264263263263262262261261260260260260259258257258257257257257258259260260261261261262263264264264264264264264263263263262261262262261261261260260260259259259259259259258258258258258258257257257257257256256256257257257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252245246246246247246245244242241240240239238238236236235235235236237238240241243243244245247247248248249248248247247247247247247247245246247247247248248248247248248247246244244245248251252249251999999999999999999999999999999999999999999999999999999999999999999999999999999999228233244251250250250253252255255254250251250252253254255256256259261263265265261263264263264266267269273274271272272274274275275274274273269270267267268267268268268267268268267266269270272272272272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237240241241241243243245245245247251255259265268269274276278279280281281282283283283283284284284285284284283282282282282282282282281281280280280280280280280280280280280280280280280280281280281281282282282282282283282282282282281280280280280279279280277274274274275276277278278277277276276276274273273273273274275275275275276276276277277277277277277277277277277275272271271271270269268268268268268267267268268269269270270270270271271271271270270269269269268268268268268268268268267267268268268268268268268267267267267267267266266266266266267267267267268268268268269269269270270269269269269269269268269268268268268267267267267267267267266266267267266266266266266266266266266264265265265267267269270270269268268268268268267267266266266265265265265265264263262262261261262263264265265265265264265265265265266266267267267267267266266266265264264264263262261262261262262263262262262262263264265266267268268268269268268268267267267267266266266265265265265265265264264264263263263263262262261261261261260259257258258258258258259260260261260261262263264264264264264264264264264263262262262262262261261261261260260259259259259259259259259259258258258258258257257256256256257257257257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249248248246246246245245243242241241240239239238237236236237238239240240241242243244245247248249250250250249249248248248248248247247247247248248248248247246246248248248248247247247249251253253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249253251251255256257259259257254255253254254255255258259261263264266264265266265265267267267268274276274274275274274276274274274273270268268267267268268269268267267267267269271272272273272271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230239239240241243246246248251255259262266269272274277278280280281282282283283284284284284284285285284284283283282282282283281281281281281281281281281281281281280281281280280280281281280281281281282282282282282283282282282281281280280280279279279279275274274275276277277278278277278277276276274273273273273274275275275275275276277277277278278276277277276277277276275274273272271270270269268268268268268269269269270270271271270271271271271271271271270270269268268268268268268268268268268268269269268269268268268267267267267266266267267268268268267268268269269269270269270270270270270270270270269269269269268269268268268268268268268267267267267267267267266266266266266265265265264264264265266267268269269268268268268268268267267267266266266265265265265264263263262262262262263264264264264264265265266266266267267267267267267267267266265265264264263262262262262262262263263262262263264265265266266267268268269268268268268267267267266266266266266266265265265265264264264264263263263263262261261261260260259258258259259259260260260261261263263264264264265265265265264264264263263262262262262262262262261261261260260259259259259259259259259259258258258257258257257256257257257258257258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248248247247247246246245244243242241241240239239238237237238239239241241242242242243244246247248249250250250249249249249249249248249248248248248249248248248247248248248250248249250252249248251255256264999999999999999999999999999999999999999999999999999999999999999999999999999999999246252253253254257258258260260259257257255254256258259259261262264266266267270271269269270271269271275276276275275275274275276276275274271269268268269269269270269268268269269271270272271273272273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240240240241244250254257259263266267271274277278279280281282282283284284284285285285284285285284283283283283282283283283282282282282282282282282282282282282281282282281281282282282282282282282283283282282282282282282281281280280280279280280279277274274274275275277277278277277278277278277274274273274274275275275275276276276277277278277277277277277277277277276276275274273272272271270269269269268269269270270270270270271271272273272272272272272271271270270269269269268269269268268268268268269269268268268268268268268267267267267267267267267268268268269269270270270270270270270270271270270270269269269269269269269269269269268269268268268268268268268267267267266266266265265264263264264265267268268269269268268268268268268268267267267266266266265265265264263263262262262263263264264264264265265265265266266267267267267267267266266266265264264263263262262262262262262263263263263264265265266266267268268269268268268268267267266266266266266266266266266265265265265265264264264264263263262261261261261260259259259259260260261261261262263264265265265265265265265265264264264263263263262262262263262262262261261261260259259259259259259259259259258258257257258257256257257258258257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252249247246245245246245244243242242241240240239239238238239240241241241241242243243243244246248248249249249249249249249249250249249249249249250249250249248248247248249249249249249249255256256252257261999999999999999999999999999999999999999999999999999999999999999999999999999999999999249254255257257257260260261261263259265258257264262262264265265268268269272272272271272273273274276278278277276275275277276277277277275273271269270272272273269268268269999999272273273274273274274271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242241244246252256260261264268270273274278279280281282283284284284284285285286286285285285284284284284284283283283283283283283282283283283283283283283283283283283283283283283283283283283283283283283283283283282282283282281281280280280280280278275275275276277276277277278278277277278278277276275275275275275276275276276276276277278278277277277276277276276277277276275275274273273272271271270270270270270271271271271271272272272272272273272273272272272271270270269269268269269269268268268268268268268268268268268268268268268267268267267268268268268268269269270270270270270270270271271271270270270270270270270270270270270269269269269269269269269269268268267267267267267267266265263264264264265267268268268268268268268268268268267267267266266266266265265265264264263263262262263263263264264264264265265266266267267267267267267267266266266265264264264263262262262262262263263263263264265265266266267268268269268268268268267267267267267267267267266266266266265266265265265265265264264264263262261262261261261260260260261261262261262263264264264265265265265265266265264265264264263263263263262262262262262262262261260259259258259259259259259259258258257257258258257257258258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254252250247246246245244244243243243242241241240239239239239240241241241241242243244244244245247248248248249249249249250249250249249249249250250250248250248247246246247248248247248249252248249255256999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252257258259258261263263263264265263267266264263264265266267268269269269271273275275276277277279279278277276275276276278278277278277275274273273274274999999999999999999999999274274275274274275274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255239999999999999999238243240243250254261264265269270273275277279280281282283283284284284285285286286286286285285285285285285284284283283284284283283283283283283283284284284284284284284284284283283283283283283283283283283283283284283283283283283282281281281281281280276275276277277277277277277278277277278279279278277276276276276276276275276276275275276277278277277276277277276276276276276275275274274273273272272271271271271271271271272272272271272272273272273273272272272272272271270270269269269269269268268268268268268267268268268267268268268268268267267267267268268268269269270270270271271271271271272272272272271271271270270270270270270271270270270270270270269270269269269268268267267267267266265264264264263264266267267267268268268268268268267267267267266266266266265265265264264264263263262262263263263264264264265265266266267267267267267267266266266266265265264264264263263262262262262263263263264265265266266267268268268268268268267267267267267266267267267266266266266266266266266266266265265265264264263262262262262261261260260261261261261263263264264265265265265265266265265265265264264263263263263263262262263262262262261260259259258258259259258259258258257257257257258257257258258257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254255254253252250247246246246245244244243243242241241240239239239240240241241241241242243244244244245247248247248248249249250250250250250250249250250250249248248247246245246246247246250251255249249249256255253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255258261261261261262264265265265265267267269265263265267268268270270272273275276277277279279279278277276999999999276277276276276275275999999999999999999999999999999999999999273999276276276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250248237999999999999236242245248252258261266268269271273275278280281281282283284284285285285286286286286286286286285285285285284284284284284284283283283283283283284284284284284285285284285285285284284284283283283283283283283283284283283283283283282282281280281281280278275276277277277276276276277277278277278278279278277276276276276276276276276275275275275276277278278278277276276275276275275275275275274274273272272272272272271271272272272272272272272272273273273273273273272273273272271271270270269270269269268268268268268267267268268268268268267267267267268268267267268268269270270270270271271272272272272272272272272272271271271270270271270271270270270270270270270270269269269269268268267267267267265265265264264264265266266267268269269268268268267267267267266266266266265265265265264264264263263262262263263264264265265266266266267267267267267267266266266266266265265265264264264263263262262263263264264265265266266267268268268268268268267267266267266266267267266266266266266266266266266266266266266265265264264263263262262262261261261261261262262263264264264265265265266266266266265265264264264263263263262262262262262262262261260260259258258258258258258258258258258257258257258258259259259258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255255253251250249247246247248247246244244243242241240239240240239239240241241241241241242242243243244245246247247248249249250250250251250249250250250249249247245244245245245245246249249250251253252254260259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253261261264263263264264266267266267268269268270266264265266267269271273274275276277278278279279277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234234242999999999999238242245250256261265266269271272274277279280281282283284284285285285285286285286287287286286286286285285285285284284284283283283283283283283284284284285285285285285285285285285284284284284283283283283283284284284284283283283283282282282281281281280277275275276276276277277276277277278278278278278278277276276276276276276275275275275275275276276277277277277277277277276276275275275275275274274273273273273273273273272273273272272272273273274273273273273273273273273272272271270270269269269269268267267267267267267267267268267267267267267267267267267267267268269270270270271271272272273273273273272272272272271271271271270270270270270270270270270270270270269269269269269269268268267267266266265264264264265266267267268268268268268268267267267267266266266266265265265264264264264264264263263263264264264264265266266267267267267267267267267267266266266266265265265265265264264263263263263264265265265266266267268268268268268268267267267266266266266266266265265266266266266266266266266266266266265264264264263263262262262262262262262263263263264264264265265266266266266265264264263263263263262262262262262262262262261261260260260259259259259259259258258258258258258258258258258258258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256255255253251249248247247248248248247245245245244241240239240239239239240241242241240241241241242244243244244247248248249249251251251251250250250250248248248245244243243244244243248248248248248248250254259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250259264264267267267266266267269269266272272270274267266266267270273274275276275277278278279280278277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230232999999999999999243247251257261266267270273274275278280281282283285285286286286286286285286287287287287287286286286285285285285285285284284284283283283283284284284285285285285285286286286286285285285285284284284284285285285284284284284283283283283283282282282281278276275275276277277277276276277278278279279278278277277276276276276275275274275275274274274275276276276276276275275275276275275274274274275274274274273273273273273273272272272272272272273273273273273273273273273273272272272272271270269269269269267267267267267266266267267267267267267266267267267267267267267268269269270270271272272272273273273272272272271272271271271270270270270269269269269269269269269269269269269269270270269269267267267266265265265265266267267268268269268269269268267267267267267266266266265265265265264264264264264264264264264264264265265266266267267267268267267267267267266266266266266266265265265265265264264264264264265265265266266267267268268268268267267267267266265265265266266265265266266266266266266266266266266266265264264264263263262262262262262262262262262263263264264264266266266266266265265264264264264263263262262263262262262262261261261260260259260260259259259259258258259258258258258258258258257257258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257256255253251250249247247248248248247249246245243241240240240239240239239240240240241241241241242243242244245246248248249250251251251251250249249248248247246245243243242242243243243244245246245245247250259999999999999999999999999999999999999999999999999999999999999999999999999999999999999252258264266268268268267266267268269269268270273272270270271271273274276276276277277277279277277278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262240243242999999227999999999999999250254256260265268271273276277280281283284285286286286287287287287287287287287287288287287287286286285285285285285285285284284284283283284284284285285285285286286286286286286285285285285285285285284285285285284284284284284284283283282282282283280278277275276277277277277276276277277278279278278278277277276276276276275274274274274273273274275275275275275275275275275275275274274274274274274274274274274273273273272272273272272272273273273273272273273273273273273273272272272271270269269268269268267267267266267266266266267266266266266266267267267267268268268269269270270272272272273273272272272271271272271271270270269270269269269269269269268268268268268268268269269269270270269269268268267266265266266267268269269269269269269269268268267267267267266266266265265265265264264264264264264265264264264265265266266266267267267267267267267267267267266266266266266266265265265265265265265265265265265265266266267267268268268267267267267266265265264265265265265264265265266266266266265266266265265265265264264264263263263262263263263263263263264264264265265266267267266266265264264264264264263263263262263262262262262261261261261260260260260260259259259259259259259259259259259258257257257257259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258256254253252250248247247247248248247247245243242240241241240239240239239239240240241241242241243242243244245247248249250250251250251251250250249248247246246245243244242246245245246243244239244248249249249999999999999999999999999999999999999999999999999999999999999999999999999999999999999262264266267268267268267267266267268268268269271272274274275276277277278280278278279278278277276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263259255249999233999999999999999250255259262264269271274276278280282283284285286286287288288287288287287288288288288288287287287287286286285285285285285285285284284284284285285285285286286285285285285286286285285285285284284285285285285285285285285285284284284283282282282282281278278277276278277277277277276276277277278278278278277277277276276275276275275275274273273273274274274274275275275275275275274274274274274274273274274274274274273273273273273273273272273273273273273273273274273273273273273273272272272270270269268269268268267267266267266266265266266266265266266267267267268268268268269269270271272272273273273273272272272271272271271270270270270269270270270269269269269268268268268268268268269269269269269269269267267267267267268269269269269269269269269268268267267266267266266265265265265265265264264264264264265265265265265265266266267267267267267267267267267267267266266266267266266266266266265265265265265265265265265265266266267267268267267267267266266265264264264265265265264265265266266266266266266266266266266265265265264264264263263263263263263264264265265265265266267267267266266265264264264264264263262262263262262262262262262262261261261260260259259259259259259259259259259259259258257256256257258259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260261259258256254252251250248248248247247246245246245244242241241241240240241240240239240240241241241242243242243244245247248250251251252252251251251250249248246245244244243244243241245244244246244239244247249251251999999999999999999999999999999999999999999999999999999999999999258250250262265263264267268270270269269269268269269270270271271273274275276277278278278279279280280281281280278276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267999999999999999999999999999999999999999999999999999270266256999999262264262260258253243239999999249256258261263265268271274277279281282283285286287287288288288287288287287288288288288288288287288287287287286286285285285285285285285286286286286286285285286286286286285285285286285285285285284284284285285285285285285285284284284284283282282283282280277278277277278276277277277277276277277277278278278277276276276276275275275275275274274274274274274274274274275275275274275275274274274274274274274274274274273273273273273272273272273273273273273273273274274274273273273273273272272272271270270269269269268268267266266265265265265265266266266266267267267268268268268269270271271272272273273273273272272271271271271270270270270270270271270270270269271268268268268268267267268267268268269269269269268268268268268268269270269269269269268268268268267267266266265265265265265265265265264264264264264264264265265266266266266266267267267267266267266266266266266266266266266266266266266265265265265265265265265266266267267268268268268268267267267266265265264264265266266265265266266266267267267266266266266266266265265265265265264264264265264264265265265265266266267267266266266265264264264264263263263263263262262262262262262262262262261261261260260260259259259259259258259259258258256256256257258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262260258256254252251250248247247245245244243243244243243241240240241240239239240239241240242241242242243243243244245248249250250251252251251252251250250247245244243241244242241239242244246247246244247248254253253999999999999999999999999999999999999999999999249249999999999266259259261266267269270271272273273273271271270270271272273273275276276277279281280280280281281281281282282279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251999999999999999999999999999999999999999999999999999269270270999999999999269269268265262253999999267256259262264267270273275278280281283284285286287288288288288288289288288288288288288288288288287288287287287287286286286286286286287287287287286286285286286286286285285286286286286285285285285284284284285285285285284284284284284283283282282282281279277276276277278276276277277277277276277277277278277277276276276276276276275275275275274274274274274274275275274275275274274274274274274274274274275275274274274274274274273273273273273273273273273273273274274274273273273273273273273272272272270269269269269269269268267266265265265265266266266266266267267267267268268268269270271271272272272272272272272271272271271271271271270270270270270270270269269269269269268268268267267267268268268268268269268268268268269269269269270269269269268268268268267267266266265264264264264264264265264264264264264264264264264264265265265265266265266266267266266266266266266267267266267267267267267267266266266266266266266266266267267268268269268268268267267267266266265265265265266267266266266266267267267267267267267267266266266265265265265265265265265264265265265266266267267267266266266266265264264263263263263263263263262262263262262262262262262262262261261260260260260259259258258258258258257257257257258258259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257262260259256253252251251250248247246244243243242242243242240240240239240240240239240239240241241242242243243244245247248249250251252252252252252251250248248247245243242243242244239243244247248248243247249259259254255255999999999999999999999999999257999274999260262248258252267999999266269271272273274275274274275273271271272272272273274275277279280282282282282282281283282283282282999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257255269264999999999999999999999999999999999999999265270273273271999999999266272273268266266264258256257260264268270273275276279281282283284285287288288289289289289289289289289289289289289289288288288288288288287287287287287286287288288287287286286286286286286286286286285286286286286285286285285285285285285285284283283283283283283283282281280279279278278279280279277276277277277277277277277277278278277277277277276276276276276276276275275275275275275275274274275275275274274274274274275275275275275275274274274274274273273274273273273273273273273273274273273274274273273273273273273272272271270270270269269269268267267267265264265265265266266266266267267267267267268268269270271271272272272272272271271272272272271271271271270270270270270270270270270269269269268268268268267268268268267267267268268268268268268269269268269268268268267267267267266266266265265264264263263264264264264264264264265264265265265265265266266266266266267267267267267266266266267267267267266267267267267267267267267267266267267267267267268269269269269268267267267267266265266266265265266266266267266266267267267267267267267267266266266265265265265265265265265265265266266266266267267267267266266265265264264263263263263263263262262263263262263262262262262262262262262262261261260260260259259259258258259259258258258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261264258258255252251251249249249248247243241242240240241241241240240239241240241241240240241241241242241243244245246246247248249251252252251251252251249247247246246245244245243235236221222246250249248246239252254258258999999999999999999999255258270264999242250266999252257244267267255264271274275276276275273274274273272271271272273274276277279281282282283281282282282283282279279999999999999999999999999999999999999999999999999999999999999999999999999999269268269270999999999999999999999999999999999999999999999999999999260258999264267270268276999999278999999999999999999272273273274272999999267272276275999267271273271269266267270274276277278280282283284284286287287289289289289289290290290290289289289289289289289288288288288288288287287286287287287287287287286286286286286286286286285286286286286286285285285285285285285284284284283283283283283284283283282282281281281281281281279277277277277277277277277277277278278278277277277277276277277276276276276276275275275275276275274275275275275275275274275275275276275275275275275274274274273273273273273273273273273272273273273274274274274274273273273273272273271271271270270269269268268267267266266265265266265266266266266266267267267267268268269270271271272272272272271271271271271271271271271270270270269269270270270270269268268268268267267267267267267267266267267267267266267268268268268267268267267268268268267266266266266266265265265264264265265264264265265265265265265265265265265266266266266267267267267267267266266266267267267267267267267267267267267267267267267267267267268268268269269269268268267267267267266266266266265265265266266267267266267267267267267267267267267267266266266266265265265265265265266266266266267267267267267267266265264264263263263263263263263263263263263263263263262263263262262262262262262262262262261261260260260260260259259259258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260255255254253253251251249248244242240240240240240240240240240240241242241241241240241242242243243245245247247247249250251251252251251251251250249249247246247246248246235240239239247251250223224245245247256277287999999999999999271258999999264260999253254266264262262259256264267272274277279281276999273273273272273272276277278278280281283284283284283283283283281999999999999999999999999999999999999999999999999999999999999999999999999999999268271269266268268262999999999271271264999999999999999999999999999999999257256254251257999999999999999277999999999999999270273274273274274999269271277277277276275277276276275273273275277278280281282284285285285287288289288289289289289290290290290290290290289289289289288288288288288287287286286287286286287286287286286286286286286285285285285285286286286285285285285285284284284284284283283284284283283283283283282282282282281282280277277277276276277277276277277277277278278277277277277277277277276277277276276275275275275275274274275276276275275275276275275275275275275275275275274274274273273273274273273273273273273273274273273273274274274273273273273272272271271271271269269268268267267267266266266265265265265265265266266266266267267268269269270270270271271271271270270270271271271271271271271270270270270270270269269269269268268268268267267268267267267267267267267267267267267267267267267267267267267267267267266266266266266265265265265265265265265264265265265265265265265265266266266266266267267267267267267266266266266266267267267267267267267267267267267267268268268268268268268269269269269268267267267267267267266266266265265265265266266267267267267267267267267267267267267267266266266266266266266266266267266266267267267267267267267266266264263263263263263263263263263263262263263263263263263264263263263262262262262262262262261261261260260260260259259258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256256257256255254254253250248245243242242239238238239240241240241241242240240239240242243243244245246248248251250250251251252252251250250250249247246246246249249246244244243245250248249238225230244247256999256999999999999268258999999260250248261252265268270271274267271270273274276278280280999999274275274274275275278279279280281283283284284284284284283282999999999999999999999999999999999999999999999999999999999999999999999999999267265269268267265265263259999255256265270264999999999999999999999999999999999999250252252251262271272272279279281281281281280278276276275276277277277278282281277276277278279279278277277278279281282283283284285286287288288288289289290289289290290290290290290290290289289289288288288288287286287287286286286286286286286286286286286285286285285285285285285285285285285285285284284284284284284284284284284283283283283283282282282282282282279277276276276277277277276277277277278277278277277277277277277277276277276276276276275275275275275276276276276276275275275275275275275275275275275275274274274273273273273273274274273273272273273273273273273273273273273273272272272272271270270269268267267268268267266266266266265265265265265266266267267267268269269270270270271271271272272271271271271271271271271271271271270271271270270269269269268267267267267267267267267267267267267267267267267267267267267267267267267267266267267267266265266265265265265264264265265265265265265265265265265265265265266266266266267266267267267267267266266266266266266267267267267267267267267267268267268268268268268268269269269269269269267267267267267266266266266265265265265266266267267267267267267267267267267267267266266266266266266266266266267267267267267267267267268268267267266265264263263263263263263263263263263263263263263263264263263263263263263263262262262262261261260260260260259259259258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259258257258258256253250247244245241240238238239239239239241242242241241240240242243242244245246247248252253251251251252253253252250250248247247247247246242246246244245250250248251247248253999999999260999999255256243260240241249999259259250263269271271273274272273274276278279280281280999274275275275276277277279279279280281282283281282283284283280999999999999999999999999999999999999999999999999999999999999270270271270999267265263264266267265264262999260260260265267999999999999999999999999999999999999999999999259269274279281282282281282282282282282282282281280281282282282282281282276276279280279281279279279280282283284285285285286287288288288289289289290289290290290290290290290290290290289289288288288288287287286286287286287286286286286286286286286286285285285285285285285285285285284284284284283283283284284284283283283283283283283282282281282282282281280279277276276276276276276276276277277277277277277277277277276276276276276276274276275275275276276276277276275276275276276275275275275275275275274275275274274274273274274274274274273272273273273273273273273273273273274273273273273273271271271270270269269269268268268268267266266266266266266266266267268268269269270270270271271271271272271271271271271271271272272272271271271271271270270270269268268267267267267266266267267266266266267267267267266266266267267267267267267267267267267266266266266265266265265265265265265265265265265265265266265265265265266266266267266267267267267267266266266266266267267267267268267267268268268268268268268268268269269269269269269269269268267267267267266266265266265265265265265265266267267267267267267267267267267267267267266266267267267267267267267268267267267268268267268268268267267267266264263263263263263263263262263263263263263263263263262262263263263262262262262261261261260260260259259259259258258258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258255250248246245243242240240240240239239239240242244244240241242243243244244245246247250253251251252253253253252251250251249248247247245243247246243246249251253252248241253254228249249255240256257228231239241255256262266263265268269271272275274276275277279281281282280280275277277277278279281280280281281282283283282999999999999999999999999999999999999999999999999999999999999999999999267269269266269269999999999999999265268265263999999256258999999999999999999999999999999999999999999999999999273265272277280282282282282282283283283283284284283284284284284283283281278276277278279280279280280281282284285284285285285287287288288289289289289289289289290290289290290290290290290289289288288288287287286286286286286286286286286286285285285285285285285285284284284285284284284283284284283283283283283283283282283283283282282282282281281281282282282282281279277277276277277276277276277276277277277278277277276276276276276277276276276276277277277277276277276276276276277277276276276276276275275275275275275275274274274274274274274273273273273273273273273273273273274273274274274273272272271271271270270270270268269269269268267267267267267267267267268269269269270270270271271271271271272271270270271271271272272272272271271271271271270270269268268267267267267266266266266266266267267267267267266266266266267267267266266266267266266266266266266266265265265265265265265265265265265265265266265265266265266266266266267267267267267267267266266266266267267267268268268268268268268269269268268268268268268268268269269269269269268267267267267267266266266265265265265266266266267268268268268268268268268268267268267267267267267267267267267267267267267267268267267268268268268267267266265264263262263263263263263263263263263263263262262262263262262262262262262262261261261260260259259259259258258258258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259258254251248246246244244242242242241240240239238241240240241241243243243243244245245247249250252253253254255254253253251250249249248248246248248246247249252253253251251241253262262230255257256257228229257257261258255267268270272271274275276277278279282281283283283999278280280280280281282281281281281282283284284283999999999999999999999999999999999999999999271262260999999255260999264267270270270270999999999999999999999267266261999999256260262999999999999999999999999999999999999999277274274274276278279280282283284283283284285285285287286286286286285285285285281280280280281282282281282282284285285286286286287287288288288289290290290290290290290290290290290290290290290290290289289288288288289287287286287286287286287286286286286285285285285285285285285284284284284284284284284283283283283283283283284284284284284283283283282282282282282282282282280279278277278277277277277277277278277278278278277276276276277277277277277277277277277277277276276276276276276276276276276276276276276275276275275275275275274273274273273273273273273273273273273273273273273274274274274272273273271271271271271271271270269269269269268268268267267267267267268268268269269269269270270271271271271271271271270270271271272272272272271270271271271270269269268267267267267266266266266266266266266266267267267266266266266266267266266266266267266266267266266266266265265266265265265265265265265265265265265265266266266266266266266267267267267267267267266267266267267267268268268268268268268268269268269268268268268268268269269269269269269268267267267267267266266265265265265265266266266267267268268268268268268268267268268268268268268268268268267267267267267268267268268268267268268268267268267266265263263262263263263263263263262263263262262262262262262262262262262262261261261261260259259259259259258258258257258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260258255252250248247245246245244243242242243241237237239239241242243243243243244244245245248250252253254255255255255254253252252248249248248243244246249250254254254253255259263265264264260260266260267273271268268269266270270275276275275276281282281283284282284284284999279282283282283283283283282282282283284284284285999999999999999999999999999999999999999276272999261999253253255264266269271271274280999999999999999999999999999261260262260260264999999999999999999999999999999999277281282282281281281282283284284285285284286286286286286287289288287287287287286286284284283282281283284284285286286287287287287287287288288289289290290290291291290291291291291291290290290290290290290289289288288288289288287287287287287287287286286286285285285285285285285285284284284284284283283283283283283283283284284284284284284284284283283283283283283283282282282282281280279278277277278278278278278277277277278276276277277276277277277277277277277276277276276276275275275275275275275275275276276276276276276276275275275275274274274274273273273273273273272273273273273273273274274274274273273273272272271271270271271270270270270270269269269268267268268268268268268268269269270270270271271271271271272271271271271271271272272271271271271270270270269269268268267267266266266266266266266266266266267266267266266266266266266266266267267267266267266265266266266265265265265265265265265266265265265265265265265265266266266266267267267267267267267267267267267267268268268268268268268268269268268268268268268268268268268269269269269269268268267267267267267267266265265265266266266266267267268268268268268268269268268268268268268268268268268268268267268267267267267268268268268268268268267268267267266264263262262263263263263262263262262261262262261262262262262262262261261261260260260260259259259259258258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257256254251249248247245248245244245245243240238239239241241243242242243244243244246248251252254255256256257256255251251250253251249250248246250250251255258256257259262269271269267268268269273272272274272268277271271272277278281281282283284285286287286286285284282283284284283283282282282281281282283284285285284999999999999999999999999999999999999999274270261255255251250999999271272273275278999999999999999999999999999999261265266264265268999999999999999999999999999999999281284284284282283283283283284285286285285286287286287287288287288288288288288288288288287287286284285287287288288289289289288289289288289289290290290291291291291291291291291291291290291291290290290290290289289289288288288287287287287287287287286286285285285284285284284284284284284283283284283283283282283283284284284285284284283283284284284283283283283283282281281281282281280279278277277277278278278278278277277277276276277276276276276277277277277276275275275276275274274274274274274274274275275275275276276276276275275276275274274274274273273272273273272272272273273273273273274274274274273273272273272271270271271271271271271271270269270269269269269269268269268268269270271271271271271271271271271272272271271271271271271271272271271271271271270269269268268267266266265266266265265265266266266266265266266266265265265266266266266266266266266266266265266266265265265265265265265265265266265265265265265265266266267267267267267267267267267267266267267267268268268268268268268269269269268268268268268268268268268268268269269268269269268267267267267267267266265265266266266266267267268268268268268268269268268268268269268268268268267268268268268268267267267267267267267267268268268268268268267266266264263262262263263262262262262262262262261262262262262262262261261260260260260260260259259259259258258258258259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252257256257254253252249249248246245247248247244241241239240241242242243243243243244246249250254255255256257257257254253253252253252252252253254255255256258260260261262264267269265272273273274274274276278277274274274276278279282285285285287287288288288288287286285284284284284282281280281281281281280281283284999284284280281999274273270269265265999999999259270256247245246999999999273999999999999999999999999999999999999999999999268268269269999999999999999999999999999999999284285285285284284284284285285285286286287287287287287288288288288289289289289288289289289289288289287287289289290290290290289289289289289289290290290290291291291291291291291291291291291290291291290290290290289289289289288288288288287287287287286286286285285284284284284284283284283283283283283283282283283284284284284284284284283283284284284284284284284283283282282281281281281280279279277277277277278277277278277277277277277277277276275276276276276275275275275275275274274274274273273273273273274274275275275276276276276275276276275274274274273273273273273273273272273273273273274274274273273273273272273272272272272272271271271271272272270270270270270270270269269269269270270271271271271272272272271272272271271271271271271271271271270270271271270270269268268267266266265265265265265265265265266266266265266266265265265265266266265266267266266266266266266267266266265265265265265265265265265265265265265266266266266267267267267267267267267267267267267267267268268268268268269269269269269269268268268268269268268268268268269269269268269268267267267267267266265265265266266266266267267267268268268268269269269269269269269269269268268268268267268268268267267267267267267267268267268268268268267267267266265264263262262262262262262262262262262262262262263262262262262261261260260260260259259259259258258258258258259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258259258257255254252251248248249249251246245242240241240241242243243243244246247249252254255258256257256256258256257256256254256256258258259260261260262261263264266268270269274275276277277278279279282278277279280282284285287287288289289288289290289287286284284284283282278999278278279281282281278999999999999999288289285281278274272268264261263249248248250249248999999999999999999999999999999999999999999999999999999999999268270272274272999999999999999999999999999285286286286287286286286286286287287287287287288287288288288289289289289289290289289290290290290290289288289290291291291291290290290290289290290290290291291291291291291291291291291291291291290291290290290290290290289289288289288288288288287287286286285285285284284284284284284283284284284283283283283283284285285284284284284284284284283284284284284284284284284283282282281281280279279278278277277276277277277277277277277277277277276277276276276276276276275275275275275274274274273273273273273272272273273274275275275276276276276276276275275274274274273273273273273273272273272273273274274274273273273273273273273273272272272272272270271272272271271271270270270270270271271271271271271271272272272272272272272272271271271271271272271271271270270271271270270269268268267266266265265265265265265265265265266266266265265265265265266265266266266266266266266266266266266266266265265265266266265265265266266265265266266266266267267267267267267267267267267267267267267267268268267268268269269269269269269268269269269268268268268268268269269269268268268268267267267267266265265265266266266266267267267268268268269269269269269269269269269269268268268268268268268268267267267268268268268268268268268268267267267266266266265264263262262262262262262262262262262262262263263262262261261260260260260260259259259258258258258258259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260259259257256255254253253252251254249246243241241240243243246244244246248250252253256256258257257259260259259259260258258259260260261261263264266266266266267270271272273274276276276277278278280281284281282282284285287287288288288289289289289288287285283282282280276273999273276277279279279277999999999999999999293294289283274268265262254250251252253255257251999999999999999999999999999999999999999999999999999999999275273275275276277278280999999999999999999284287287288287288288288288288288288288289289288288289289290290290290290290290290291291291292291291291291291292291291291291291291290291290290290290291291291291292291291291291291291292292291291291291291290290289289290290289289288288288288288288287287286285285285284284284284284284284284284284284284284285285285285284284284284284284284284284284284284284284285284284283283282281281279279277277277277276275276276276277277277277277277276276276276276276276276275275275275274274274273273273273272272272272272272273273274274275275276276276276277276275275274274273273273273273272272272272272273273273273274273272273273273273273272272272272272272272272272272271271271270270270270272272272271272272272272272273273273273273273271272271271271271271271271271270270271271270270268267267266266265265265265265265265265265266266265265264265265266266265265266266266266266266266266266266266266266265265266266266266266266266266265266266266266266266267267267267267267267267266267267267267267267268268268268269269269269269269269269269268268268268268268269269269269268268268267267267266266265265265266266266266267267267267268268269269269269269269269270270269269269269268268268268268267267268268268268268268267267268267267267267266266266265265265264263262262262262262262262262262263263263262262261261261261260260260260259258258258258258259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259262260259260259257255254257255255258253248244242240241244245246249248249249251252254255255258258259260260261261261261261260259263264263264268267268270267269271275275278279278277277277279280279281285286285286287287287288289289289288290290289289288287286284283282280277274272272274276276280281999999999999999999999293295291285999999263261255253259258257254256999999999999999999999999999999999999999999999999999999277278281280280280280280280279999999999999999999286286287287287288288289289288288289289289289289289290290290290290290290290290290291291291291291291292292292291291292292292291291291291290290290291291291291291291291291291291291291292292292291291291291290289289289290289289289289288288289288288288287286286285285285285285285284284284284283283284284285285285284284284284283283284284284284284284284284284284284284284284283282281281280278278277276276275274275276275276277277276276276275276276276275275275274275274274274273273274273273273273272272272272272272272273273274274275275276277277277276276275274274274274274274273273272273272272273273273273273273273273273273274273272272272272272271272272272272272272271271272272272273272272272272272273272272273273273273273273272272271271271271271271271270271270271271270269269268267266265266265265265265265265266266266266265265265265266266265265265265266266266266267266266267266266266266265265266266266266266266266266265265266266266266266266266267267266267267267267267267267267267268268268268268269269269269269269269269268268268268268268268269269268269268268268267267267266266265265265266266266266267267268268269269269269269269269269269270270270269269269268268268268267268268268268268268268268268268268267267267267267266266266266266265265264263262262262262262262263263263263262262261261261261260260260259259258258258259259259259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249261261261261260258255257259258259258253250247242241242245245247249249250249251253254255256257258260261261262262261262261261262263263264264268269269269270272274276278278278277277999999276277279283287287288288288289289290289288288289289290290289288287285284283282278276275273269273275999999999999999999999999999999999999999999999999999260254254257255254999999999999999999999999999999999999999999999999999999999279280281282282282282281280280280999999999999999284285286286287288288289289289289289289289289289290290290290290291291290290290290290291291290290291291292292291292292292292292292292291291291290290290291291291291291291291291291291292292292292292291291291290289289289290289289289289289288288289288288288287286286286285285285285285284284284283284284285285285284284284283283284284283284284284284284284284284284284284284284283283282281280279278277276275274273274275276277278276277276276276276275274276275275275274274274274274274274274273273273273272272272272272272273273274274275276277277276276276276275275274275274274274274273272273273272272273273273273273273273274274273273273272272272271272272272272272272272272272272273273273273272272273273273273273273273273273273273272272272271271271271271271271271271271270270269268268267266266266265265265265265265266266266266265265264265266265265266266266266266266266266267266266266266267266265265266266266266267266266266266266266266266266266266266266267266267267267266267267267267267267268268268269269269269268268268269269268268268268268268269269268268268268268268267267267266266266265266266266266266267267268268268269269269270270270270270270270270269269269269268268268268268268268268268268268268268268267267267267267266266266266266266266265265264264263263262262263263264263262262261261261261260260260260259259259259259260260259260259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260262261263260258259257259259259256253251245242241244246246246248249250252252254255255256257257258262262261261261263263263263264264264265268269270270273275276278277274999999999999999999277284286287289289290290290291291290289289289290290290289288286285283281278273271273276278999999999999999999999999999999999999999999999999999999258257249244247251252999999999999999999999999999999999283284285286287999999999281281282282282282282281282282281281281282283283285285285286287288288288289289290290290290290290290291291291291291291291291290290290290291291291291291292292291292293293293292292292291291291291291291291291291291291291291291292292292292292292292291291290290290289289290289289289289289289289288288288288288287286286285285285285285284284284284284284285285284284284284283283284284283284283283283283284284284284284284284284284283283282281279278277276275274273274275276277277276276276276276275275275275275274274274274274274274274274274274273273273272272272272271272273273274275276277277277276276276276275275275275275274274273273272273273272273273272273273273273273273273273273272272273272272272272272272272272273272272273273273273273273273273273272273273273273273273273272272271271271271271271271271272271270270271271270269268267266266266266266265266265266266266266266266265265266266266266266267266266266266266266266266266266265266265265265265266266266266266266266266266266266265265266266266266266267267267267266266267267267267267268268268269269269268268268268269268268268268268268268268268268268268268268267267266266266266266266266266266267267267267268268269269269269270270270270270271270270269269269269268268267268268268268268268268268268268267268268268267267267266266266266266266266266266265264263263263263264264264262262261261260260260260260260259259260260260260260260259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260263262259259258262260260261259257254252248241242244246246247247248248251253254254255258257257258261262262262262263266264264264265265266268269271272274276278279276999999999999999999999283286287288290290290290290291290290289289290290290290289288285283281280274269277999999999999999999999999999999999999999999999999999999999999264261253241236241247247999999999999999999999999999283284284284286287286286999279281281282282282281281282283283282281282283284285286286286286287287288288289290290291291291291291291291291292292292292291291291291290291291291291291292292292292293293293293292292292291291291291291291291291290290291291291291292292292292292291291291291291290290289289289289289289289289289288288289289288288288287285286286285285285285284284284284284284284284283283284283283283283283283283283283284284284284284284284284284284284283282282281279277276275274273273274275276276277276276276275274275275275274274274274274274274274274274274274274274273273272272271271272272273274275276276277276276276276276276275275274274274273273272272272273272272272273273273272273273273272273273272272272272272271272272271273272272273272273272272273273272273273273273273273273273273273272272272272271271271271271271271271270269270271271270270268268267266266266266266265266266266266266266267265265265265266266266266266266267267267267267266266265265265265265265265266266266266266266266266266266266265266265266266267266267267267267266266267267267267267268268268268268268267267268268269268268268268268268268268268268267268268267267267267267267266266266266266267267267267268268268268269269270270271270270270271270270270269268268268267268268268268268269269268268268268268268268268268267267267267266266266266266266266265264264264264264264264263263262261261261260260260260260260260260261261261261260260259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240261263259257256257258262261259256255251253246243243245246247244246250250251252254255257257258259260261261263263263265264264265267267267269270272274275277280280278999999999999282282284285287288289290290291292292291289289289289289290290289289286282278275275272277274999999999999999999999999999999999999999999999999999999999999999999263234232233237243249244999999999999999999999285286284284285286285285281280281281282282281281282282283283282282284284285285284286286287287288288289290290291291291291292292292292292292292292292292291291291290290290291291292292293293293292291292292292292291291291291291291291291290291291291291291291291291292291291291291291291291290290290290289289289289289289289288289289288288288288288287286286286286285285284284284284284284283283283283283283283283283283283283283284284284284284284284284283284284284283282281281280278276275274273272273273275276276276276275275275275275275274274274273273274274274275274274274274274273273272272271271271272273274275275276276277276276276276275274274274274274273273272272272273272272273273273273272273273273273273272272272273273272272272272272273273272272272272272272272272272273272272273273273273273273273272272272272272271272271271271271270270269270271271271270269268268267266266267266266266266266267267267267266266267266267267266267267266267267267267268266266265266266266266265265266266266266266266266266266266266265266266266266267267267267267266266267266266267266267267267267268267267267267268268268268268268268268268268267267267267267267267267267267267267267266266266267266267267268268268269268269270270270271271270270271270270269269268268268268268268268268269269268268268268268268269268268268268268267267267266266266266266265265265264264264264264264264263262261261261261261260260260260261261261261261261260260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262263262253267261261261259258257255251253247248242243243244244246246248251253253255255256259260260261262263263262262264265268269268269270271273275276279281283282280284286286285286286287289290291291291292292292290289290289289289289289289288286283277274275272273274276999999999999999267270999999999999999999999999999999999999999999999236234242237240241999999999999999999999284286285284285285285285283283281281281282282282282282283284284284284285285285285286286286287288288289289290291291291292292292292292292292292292292292291291290290290290291291291292292293293292289286290292292292291291291291291291291291291291292291291291291291292291291291291291291290290290290290289289289289289289289289289289289288288288288288288287286286285285285285284284284284284283283283283283283283283282282283283283284284284284283283284284283283283283283283282281280280279276275273272272272274275275275275274275274275274274274273273273273274275275275275274275274274273273272272271271271272273274274275276276277276275275275274274274274274273273273272272272272272272272273273272272272273273273273273272272272273272272273273273273272272272272272272272272272272272272273273273273273272272272272272272271271271271272272271271270270270271272272271270269268268267267267267267266266266266267268267267266267266266266267266267267268268268268268267268267266267266266266265265266266266266266266266266266266266266266266266266267267267267266266266266266266267266266267267267267267266266268268268268268268268268268268267267267267266267267267267267267267267267266266266266266267267268268268268269269269270270271271271271271271270269268269268268268268268269269269268268268269269269269269269268268268267267267267266266266266266266265265265265265264264264263263262261261261261261261261260260260261261261261261260260259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249263259261253261260259259257256251248250246242242243245245246246249251250251252253254256257258260260262262263262263264265268270269270271273275276278280281284285285287289287288288288289290291291291292293293292290290290290290289289289289288286284277273273272273273275279287999999999274274999999999999999999999999999999999999999999999244237240246249258999999999999999999286288287286286286285285285285284283283283283283284283284285285285286286285286286286286287287287288288289290290291291291292292293292292292293293292292292292291291290290290290290291292292293292291290289289291292292291291291292292292292292292292292291291291291292291291291291291291291290290290290290290289290289289289289289289289289289288288288288289288287286286285285285285284284284284283283283283283283283283282282283283284284284284283283283283283283283283283283283282281280280279278277275273272271273274275275274274274275274275274274273272272273274274275275275275274274273273273272271271271271272273274275275276276277276275275274274274273273273272272272272271271272272273273273272272272272273273273273273273273273273273273273273273272272272272272272273273273273273273273273273273273273272272272272271271271271271271272272271271270270270271271271271270270269268268267267267267267267267267267268267268267267266266267267267268268268268269269268267266266267267266267265266266266266266266266266266266266266266266266266266266267267267267267266266267267266266266266266266266266266267267268268268268268268268268267267267267266266266266267267267266267267267267267267267267266267267268268268269269269270270270270271271270270270270269269269268268268268269269269269268269269269269269269269268268267267267267266266266266266266266266265265265265264265264264263263262261261261261261261261261261261261261261261261261260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258264258252260259259259257255249246244244243243244246248249250252252252253254254256257257258260261261262263263264264266268270270271272274275277279283282284286288288289291290290290291291292292292293294294292291290290291291290290290289288286278283275277275274273999999289999999999272273275999999999999999999999999999999999999999999250247249270266262274999999999999281287288288287288288287286286285285285284284285285286285285286286286287287286286286286287288288288289289290290291291291291292293293292293292293293293293292292291290290290290289289290291292292291291291290289291292292291291292292292292292292292292291292291291292292291291291291291291291291290290290290290290290289289289289289289289289289288288288288289288288287286286285285285284284284283283283283283283283283282282281283283284284284283283283283283283283283283283283283282281281280279278278278276274272272272274274274274274274274274274273272272272273274274274274274274274273273272272271271271271271272273274275276276277276276275275274273273273273273272272272271271271272272272273272272272272273272274274273273274274273273273273272272272272272272272272272273273273273273273273273273273273273273273273273272272272272272272272271271271271271271271272271271271270269268268268268268268268268268268268267267268267267266266268268268268268268268268269268266266266266267267266265266266266266266266266266266266266266266266266266267267267267267267266266266267267266266266266266266266266267267268268267268268267268268267267267266266266266266266267267267267266267267267267267267267267268268268268269269269270270270270270270270270269269269268268269268268268268269269269269269269269269269269269268268267267267266266266266266266266266266266265265265265265265265264264263263262262262262262262262262262262262262262262262261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247259256252258259258257255252250248247246246246248250251252252255255255255256256257258258259261262262263264264265265267268270270271273275276279280283283284286288289290291291291292292292292292293294295294292290291291291291290290289287283283273284280282280278277280999999999999999999999277282999999999999999999999999999999999999999999255278280281280281280999999999286290289288289290289288286286286286286286286286286286286287287287287287287286288288288288288289289289290290291292291291292293293293293293293293294293293293292291291290290290289289290291292292291291292292292292292292291292292293292292292291292292292292292292292292292292291291291291291291291290290290290290290289289289290290290289289289289288288287289288288287287286286285285284284284284283283283283283282283282281281282283284284284283283283282283283283283283283283283282282281280279278278278278276274272272272273274274274273274274274273273272272272273273273273273273273272272272271271271270271271272273274275276276277276275275274274273272272272272272271271271271271272271272272272272272273273273273274274274274273273273273273272272273273272273273273274273274273273273273274273273273273274273273273273273273273273272272271271271271271271272271271271271271269269269269269269268268268268268268268268268268267267267268268269268268268269268268268268266266266266266265266265265266266266266266266266266266267266266266266267267267267267266267266266267267267266266266266266266266267267268268268267267267267268267267267267266266266267266267267267267267267267267267268267267268267268268268268268269269269269269269269269269269269268268268268268267268268269269269269269269269269269269269268268268267267267266266266266266266266266266266266265265265265265265265264264263263262262262262262262262262263263263262262262262261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243258254252257257260259259259256253251249250252253253254255256257257257258258259259260260261262263264264265266267268269270271271273274276280280280281284284286288290291291291292292293292293293293294295294292292291291291291291289287284999286279283284285285283281282284999999272272999999277282999999999999999999999999999999999999999273281283286284282282285287286286288290290289289289288287287286287287287287287287287287287287288288288287288288288288289289288289290290290291291292292292292292293293293293293294294294293292292292291290290290290290290291292292292293293293292292292292292292292292292292291292292292292292292292292292291291291291291292292291291291290290290290290290290290290290290290289289288288288288289288288288287287286285284284284284284283283283283283282282281280280281282283283283283283283282283283283283283283283283282282281279278278278278278278277276273272272272273273273273273273273273272272272272272273272272272272272272271271270271270271272273274275276276276276275275274274273273272272271271271271271271271271272272272272272272272272272273273273274273273273273273273273272273273273273273274274274273273272273273274273273273274274274273273273273273273273272272271271271271273272272272272271271271270270270270269269269269268268268269268268268268268267267268267268269269269269269268267267267266266265265266265265266266266266267267267267267267267267267267267267267267267267267267266266267267267267266266266266267267267267268268268268267267267268267267267267266266266266267266267267267267267267267267267267267267268268267268268268268269268269269269268269269268268268267267267267267267268268269269269269269269269269269269269269268268267267267267266266266266266266266266266266265265265265265265264264264263263262262262262262262263263263263263263262262262262261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244259259259260263263263260259257256255252252253253255256257257258259259260259261260260261261263264266266267269270271270271272273273275277279279281282282284286289290291292292292292293294294294294295295295293292291290290290290289286288999999284286286286285285285284284272271266267999268277283999999999999999999999999999999999999277283284284284285285285288290290290290290290289289289288287287287287288288288287287287288288288288288288288288288289288289289289289289290291291292292292292292292293294293293293293294294294293293292291291291291291291291291291292293294293293292292292292292292292292292292292291291292292292292292292291291291291291291292292292291291291291291290290290290290290289290290289289288288288288289289288288288287286285284284284284284283282283283283282282282281280280281282283283282282282282283283283283283283283283282281281280279278278278278278279278277275273272272273272273273273273272272272271271272272272271271271271271271271270271271272272273274275275276276275274274274274273272272271271271271271271271271271272272272272272271272272273273274273273272273273272272273273274274274274274273274274273273273273274274274273273273274274273273273273272272272273273272272271271271272272272272272271271271271270270270269268269269268268268269269269269269269268268267267268269269269269268268267267266266265265265266266266265265266266266267267267266267267267267267267267267267267267267267267267267267267267267267267267267267267267268268268267267267266267267267266266266266266266266266267267267267266266266267267267267267267268268268268268268268268269268268268268268268268267267267267267267268268268269269269269269269269270269269269268268268267267267266266266266266266266266266266265265265265265265265264264264263263262263262262262262262263263263263263263263263262261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261261264266266265262261260258257255254253255257257257257258259260261261262262261261261263265267268269270271272272272273274275276278278279280281282284287289290290291292292293294294294295295296295295294293292290289289288289289288287287287287286286285286286285283275273265261261265280284999999999999999999999999999999999272282284283284284284284287289290290290291291291291289289288287287288288288288288288288288288288288289289288288288288288289289288289289289290291291292292292292292292292293293293293294294294294294294292292291291292292292291292292292294294293293292293292292292292292292292292292292292292292292292291292292291291291291292292292292291291291291291291290290290290290289289289289289288288288288289289288288288287287285284284284284284284283282283283283282282282280280280281281281281281281282283283283283283283283283282281281280279278278278278278279278277276275273272272272272273272272272272272272272272272271271271271271271270271271271271272273274275275275275275275274274274273273272272271271271271271271271271271271272272272272272272273273273274273273273273273273274274274274274274274273273273273273274273273274274274274274274273273273273272273273272273273273273272271271271272272273272272272272271271271271270270270269269269269270270270270270270269269268269269269269269269268268268267267267267266266265265266266265265265266266266267267267267267267267267267267267267267267267267267267267267267267267268268267267266267268268268268267267266267267267266266266266266266266266267267267267267266266266267267267268268267268268268268268268268268268268268268268268268267267267267267267268268267268269269268269269269269270270269269269268268268267267267267266266266266266266266266266266266265266265265264264264264263263263263263262262263263263263263263264263263262261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264265267268264263261261259258257256256257257258257258260262263263263262263263262263265267268270271272273274275276276276277278280280280281282284287289290291291292293294294295295295295295293295296294293290289289288289291291290290289289287287287287286287284281280999999999999280284999999999999999999999999999999999280283283283285285285287288290289290291291293292291290289289289288288289289288288288288288288289289289289289289289288288289288289289289290291291292293293292292292292292293293293294294294294295294294293293293292292292292292292293294294294293292293293292292292292292292292292292292292291292292292292292292291291291291292292292291290291290290290290290290290290290289289289289289288288288288288289288288288288287286285285284284284284284283283282282282282282281280280280280280280281281282283283283283283283282282282281281280280279279279278279279278277276276275274272272272272272272272272272272271272272272271271271270270270270270271272272274275276275275276275275274274274273273272272272271271270270271271271271271271272272272272272273273273273273273273274274274274273274274274273273274273273273273273273274274274274274274274274274274274273273273272273273273273272271272272272273272272272272272272271271271271270270270269269269270270270270270270269269269268269269269269269268267267267267266267266267266266266266266265265265266266266267267267267266267267267267267267268268267268268267267267267267267268268267267267267268268268267267266266266268267267267267266267267267267267267267267267266266267267268268268268268268268268268268268268268268268268268268267267267267267267267268268268268269269269269269269269270270270269269269269268268268267267267267267267267267267266266266266265265265265265264264264264263263263263263263263263263263263263263263263263262261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266264266265265264262261260260258258257257257257258260263265263264265265264264265266268269269271272274275276278278278279280281281280280282284287289290291292292294294295295295295295295295295296294291291290290290291291291291290290290288287288288288288287284283999999278283280999999999999999999999999999999999278280282283284286289291288289290290291291292292292292290290290290290289289289289288288288288288289289289289289289289289289289289289290289290291291292292293292292292292292292293294294294294295295295295295294294293293293293293293293293294294293293293293293293293292292292292291292292292292292292292292291292292291291291292291291291290290290289289289289289289289289289289289288289288288288288288288288288288287287286285285284284284284284284283282282282282282282281280280280280280281281282283283283283283283283282282282281280280280279279279279279279278277276275274274273272271271271271271271271271271271271271270270270270270270271272272273275275276276276275275275274274274274273272272272272271270270271271271271271271272271272272273273273274273274273273274274274273274274274273274274273272273273273273273274274274274273274274274274274273273274273273273273272272272272272272272273272272272271272271271271271271270270269269269270270270269270269269269269268267269269269268268267267267266266266267266266265266266266266267266266266266266267267267267267267267267267267268268268268268267267267267267267267267268268267267268269268268267267267267266267268266266267267267267267267267267267267267267267267268268268268268268269269268268268268268268268269268268268268267267267267267267268268268269270269269269269269269269269269269269269269269269268268268268268267267267267267266267266266266266266265265265264264264263263263263262262262262263263263263263263263263261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261267262263266265266265264262260257257257257257259260262266265265266266267266267267269270270272273274276277278279280280281281281281281282284287289290291292292294294295295295295295295295296295295293293292291290290290291290290290291289288289288288288289288286999286284285282999999999999999999999999999999999281282283284286289290290291291291291292292293293293292291291291291291291290290289289289289289289289290289290289289289289289289289289290290290291291292292293293292292293292292293293294294294295295295295296296295295294294294294293294294294294293293293293293293292293292292292292292292292292292292292291292292292292292291292291291290289289289288288288288288288288288288288288288288288287288288288288288288288287287286286285285284284284284284284283282282282282282282281281281281281281281282282283283283283283283282282281281281280280279280280280280279278278277277276275274273273272271271271271271271270270271271270271270271271271272272273275276276276275275275275274274274274273273273272272271271271272272272272272272272272271272272273273273273273273274274274274274274273273274274274273274273273273273273273274273274274274274274274274273273273273273273272272272272272272272272273273272272272272272271271271270271270270269270269270270270270269270269268268268268269268268267268267267267266266266266266266266266266267267267267266266267267267267267267267267267267267267267268268268268268268268268267267267268268268268268268268268267267267266266266267268266267267267267267267267267267267268268268268268269269268269269269268269268268268268268268268269269269268268268267267267267268268268269269270269269269269269270269269269269270270269269269269268268268268268268267267267267267267266266265266266265265264263263263263263263262262263262263263263263263263263263261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264266264265265265266265264261258258258259259260261261264267269269268269269269271271271272273274275276278279279280280281280279281282282285287288289291292293294295295295295295295295296296295295295294292290289289289290290290291291291290290289289288289289287283287285999999999999999999999999999999999999999282283284285286288288289290292291292293293292293292292292292292292292291291290290289289289289289289289289289289289289289290290290290290291291291292292292293293292292292292292292293294294295295295296296296297296296295295294294294294294294294294293293293293293293293293293292292293293292292292292292291291291292292291291292291290290289289288288288288287288288288288288288288288288288288288288288288288287287287287286286286285284284284284284284284283282282282283283282282282281282281282282282282283283282283282282281281281281281280280280280280280279278278278277277276275274273273273272272272271271271271271271271271271272272272272273274275276275275276275275275274274274274273273273272272272272272272272272272272272272272272272272271272273273273273273273273273273273273274274273273274274274274274273273273273273273273274274274273273273273273274273273272273273273273273273273273273273272272272272271271271271271270270269270270270270270270270270269269268268268268267267267267267267267267266266265266266266266266267267267267267267266266267266266266267267267267267267267267268268268269269269269268268268268269269269268268268268268267267267267267267268268268268267267267268267267267268268268269269269269269269269269269269269269269269269269269269269268269269268268268268268268269269269269270270270269269269269269270270270270270270269269269269269268268268268268268268267267267267267267266265265264264264264264264263263263263263263263263263263263263263263262261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267266266266266265262258258259259260260261261265268271272273274274272272274275274273274275276276277278279280280282281282283283284286288289290292293295295295295295295295296296296296295295294292290288287290290291291292292292292291290290290291291291285283999999999999999999999999999999999999999279282285287286288289289290292292295293293292292293292292292293292293293292291290290289289289290289290289290289290290290290290290290291290291291292292292292292293293292292292292292293293294295295296296296296297297296296296295294294294294294294294293293293293293293293293293293293293293292292292292291291292292292292291291292291291289289288288288288288287287288288288288288288288288287288288287288288287287287287287287287287286285284284284284284284284283283283282283283282282282282282282282282282283282282282282282282282281281280281280280281281280279278278277277277276276275275274274273273272272272272272272272272271272272272273273274275275275275275275275275274274274274274273273273273273273273273273273272272272273272272273272272272273273273273272273273273273273273274274274274275275275274275275274274274274274274273274274274274273273274274274273273274274274274274274274274273273273273273273272272272271272271271270270270271271270270271271270270269269269269268267267267267267266266266266266266266265266267267268268268267267267267267267266268267267267267267267267267267268268268268268269269268268268268269269269269268268268268268267268268268268268267267267267267267268268268268269269269270270270270270270270270270269269269269269269269269269269269268269268269268269269270269269269270270270270270269269270270269270270270270270270269269269269269269269269268268268268267267267267266266265265265265265264264264264264263263263263263264263263263263263262261262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286999999999999999999999999999266267266266266265264260259260261262262262263267270272273276278278277277278278277275275278277276275276277279280283283285285285286287289290291292293294295295295295296296296296296296295295295293291288290292292293292293293294294293292291291291291291290289999999999999999999999999999999999999999279282287289288289290291292293294293294292293293292292292292293293293293293292291290290290290290290290290290290290290290290291291291291291291292292292292292292292293292292292292292293293293294295296296296297297297297296297296295295294294294294294293293293293293293294293293292292292291292292292291291291291292292291291291291291290289289288288288288288287287287287287287288288287287287287287287287287287287287287286286286286286286285285284284284284284283283283283283283282282283282283283282283283282282282282282282282281281281281281281281281280280279279278278277277276275275275275275274274273273272272272272272272272272273273273274275276276275275275275275274274274274274274274274274273273273273273273273273273273273273273272272273273273274274274273273274273273273274274274274274274274274274275275276276275275274274275274274274274273274274274274274274274275275275274274274274274274273273273273273273272272272272272271271271271271271270272271270270270269270269270269269269268268268268268268268268267267266267267268269269268267267267267267267267267267267266266266267267267267268268268268268268268268268268269270270269269268269269269267268268268268268267267267268268268268268269269269269270270270270270270271271271270270270269269269268268268268268268268269269269269270270270270269270271270270270270270270270270270270270270270270269269269269269269270269269268268268268268267267267266267266266266265265264264264264264264264263263263263263263263263262262261262261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284999999999999999999999999999999267268267266265264261261262261263263263264267271273275276279278279281281280279277280281280278278278278278280282284285288288288289289290291293294295295295295295295296296296296296295295295294293292293293293293294294294295295295294292292292291291291291999999999999999999999999999999999999999278283287288289290291293293294293294294294293293293293293293293293293293293292292291291290290290290290290290290290290291291291291291291291292292292292292292292292292292292292292292293293293294295295296296297297297298297297296295295294294294293294293293293293294293293293292292292292292292292292291291292292292292291291291291291290290289288288288288287287287287287287287287287287287287287287287287287287287287287287287286286286285286285285285284284284283284283283283283283283283283283283283283283282282282282282282282281281281281282281281281281280279279279278277276276275275275274274274273273272272272272272272272272273273273274275275276276275275275275275275274274274274274274274274274274273273273273273273273273273273273273273273273274275274274274274273274273273273274274274274275275274274274274275276275275275276276276275275274274274274274274273274274275275276275275275275275275274273274274274273273273272272271271271271271271271271271271270270270270269269269269270270269269269269269269269269269269268268268268269269269268266266267266267267267267267266266267267268267268268269269269268269268268268269269270270270269269269269269268268267267268267268268268268268268269269269269269269269270270270270271271271271271270270270269269268268269269269269270270270271271271271270270270270271270270270270270270270270270270270270270270270270270270270269270269269269269268268268268268268268267267267266266266264264264264264264264263263263264264263263263263262261262261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273999999999265263999999268269270268265264261261263263264263264265267270272275278279279280281282282281280282283282283281280279279281283284286288289290290291291291293294295294296295296297297296296296296296296296294294293294294293293294295295295295294294293292292294294294295296999999999999999999999999999999999999281285289290291292293293293294293293294293293293293293293293293294293293293292292292292291290290290290290290290290290291291291291291292291292292292293292292292292292292292292292292292293293294294295296296297297297297297297296296295294294294294293293293293293293293293292292292292291291292292292292291292292292292291291291291291290290289289288288288287287287287287287287287287287287287287288288287287287287287286286286287286286285286286285285285284284284283283283283283283283283283283283282282282282282282282282282282281281281281281281281281280279279279278278277276276275275275274274274273273272272272272272272272273273273273274275276275275275275275275275275275274274274274274274274274274274274273274274274274273273273273273274274274274274274274275274274274274274275274274275275276276275275275275275275275276275276277277277276276275274274274274274274274275275276276275275275275275275274274274274274273273273272272271271271271271272271271270270271270270270271270269269270270269269269269269269269269269270270269269269269270269267267267267267267267266267266266267267267267267268268268269269268268268268269269270270270270269269269269268268268267268268268269268268269268269269269269269269269270269269270270271271271271270270269269268269269270270270271271271271272271271271270271271271271271271270271270270270270270270270270270270269269269269269269269269270269269269269269268269269268268268267267267267266265265264264264264264264264264264263263263263263262262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281999999999999266267267269270268267264263262264263263264264265267268271273276278280281282283283283284285284285286285284284282282283285286289289290291292292293294295295295297296297297297298297297296296296296296295295295294294294295295295294293293293293293295296295294296297999999999292289999999999999999999999284288290291291293294293294294293293293294293293293294294294294294294294294293293293292292291290289289289290290290290291291291291291292292292292293293293293292292292293292293293292293293293294294294295296296297297297297298297296295295294294294294293293292292292292292292292292291291291292292292292291292292292292292291291291291290290290289288288288287287287287287287287287287287287287287287287287287287287287287287286286286286286286286285286285285285284283283283283283283283283283283283283282282282282282282282282282282281281281281281281280279279279278277277276276276276275274274274273273273273273273273273273273273274274274275276276276276275275275275275275275275274274274274274274274275275274274274274275274274274274274274274274274274275275274274274274275274274274275275275275276276276275275275275275274274275276277277277277276275275275275275274275275276276276276276276276276276275275275274274274273273273273272272272272271271272271271271271271271271272271271270271269270270270269269269269269270270270270270270270269270269268267267267267267268267267267267267267267268268268268268268269268268268268268269271271271271270269269269269268268267268268269269268268269269269269269269269269269269269269270270270270270270270269269269269269270270270271271271271271272272272271271271271272271271270270270271271270270270270270270270270270269269269269270270270270270270270270270270269269269268268268267268267267266265265264265265264264264264263263263263262263263262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284281999999999268270271271267266264264264264264265266267267269271273275277279280282283283283284286286287288287286287286286285286288289290290291292293293294295296297298298298298298298298298297296296296296296295294294294295295295294293292292293294295296296295295296297999999999290999999999999999999999294288290291292292293293294294294294294294294294294294294294294294294294294294294294293293293292291291290290290290290290291291291291291291292292292293293293293293293293293293293294293293293293294294294295296296296297297298298298297295295294294294294294293293292292292292292291292292291291292292292292291292292292292292291291291291291290290289289288288288288287287287287287288287287287287288288288288287287288288287287286286286286286286286285286286286285284284283283283283283283283283283283283282282282282282282282282283282281281281281281280279279278278277276276276276276276275275275274274273273273273273273273273273274274274275276276276276276276276276276276276276275275275275276275275275275275274275274274274274274274274274274274274275275274275274274275275275274274274274275275275276276276275276276275275275274274276277277277277276276276275275275275276276276276276276276276276276276276276275275274274273273273273272272272272272272271271271271270271271272272270271272271270270270270269269269269270270270271271270271270271271270269267267267267267267268268267267267268267268268268269269269269269268269269268270270270271271270270269270269269269270269268269269269269270270269269269269269270269269269269269270269269269269269269268269269269270270270270271271271272272272272271271271272272272271271270271271271271271271271271270270270270270270270270270270270270270270271270270270270270269269269268268268268268267266265265265265264264264264263263263263263263263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276275278273274274272268266264265264264265267268269271271272273275276277279280282282283283286286288287288288288288288288289290290290291292293293294295295297298299299298299299299299299298296297295296295294293294294295295295294293293292293296296295296296296296297999999295294999999999999999999999284290291292292293293293295294294295294295294294294294294294294294294294294294294294294293294294293292291290290290290290290291291291291291291292292293293293293293293293293293294294293293293293294294294295295296295296297298298297296295295294294294294294293293292292291292292292292291292291292292291291292292292292292292292291291291291291290290289289288288288288288288288287288287287287287288289289289289289288288287286286286285286285285285285285285285285284284283283282282282283283283283283282282282282282282282282282282282281281281281280279279278278277276276276276276275275275274274274274274273273273273274274274274274275275276276276276276276276276276276276276277276276276276277277276276276276276276276276276276275275275275275275275275275274275275275275275275274275275274274275275275275275276275275275275275274274274275276276276277276276276277276276276276276276276276276276276277277276276276275275274274274273273273273272272272272271271271271270271270272272272272272271272271271270270270270270270270271271272271271271271271270270268268268267267268268268267267267268267267268268269269269269269269269269269270270270270271270270270269269269269269269269269269269269269270269270269269269269269269269269269269269269269268269269269269269270270270270270271271271271272272272272271271272272272271271271271271271271271271271270270270270270270270270270270270270270270270270270270270270270269270269269269269269268268267267266265265265264264264264263263263263264264263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273280279277276272268267265264264264265267269271272273274276276277277278279281281281283286287288288288288288289290290291292292291291292293294296296297298299299300299299300300300299298297297295295295296294294294294294293293294293294294295295295296297295294999999999999296293999999999281283284287290291292293293294294294294295295295295294294294294294294294294294294294294294294294294294294294294293292291290291291291291291291291291292292292292292293294293293293294294294294294293293293294294295295295295296296297298298298297295295294294294294294293293292292292292292292291291292291291292292292292292292292292291292291291291291291291290290289289289288288288288288288288288288289289290290290290289289288288287286286285285285285285284284284284284285284284284283283282282282282283282282282282282282282283282282282282281281280280280280278279278278277276276276276275275275274274274274274274274274274274274274274275275276276276276276276277277277276277277277277277277277277277277277277277277277278277277277277277277276276276276276275275274275275275274275275274274274274274274275275275274275275275275275275274273274274274274275275276276277276277277277276276276276277276276276277277277277277277276276275274274273273273273273272272272272272271272271271272273273272271270271272272271271270271271270270271271271271271271272271271270270269268267267268268268267267267267267267267267268268268268268268268268268269271270270269270271270269269269268269269269268269269269269269269270270271270269269270270269269269269269269269269269269269269270270270270270270270271271272272273272272271271271272272272272272271271271271271271271271271271270270270270270270270270270270270269269270270270270270270270270270269270270269269269268267266265265264264264264264264264264264264264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274273273274274269267267265266266267268269272273275274275276277278278279281281282282283286288289289289289289291291292293293293292293292294295296297298298299300300300300300300299298298297295294295294296295293293294294294294294294294293294296296297297296295294295999999999292999999999283285286287289291292293293294294294295294295294294294294294294294294294294294294294294294294294294294294294294294294294293292292292292292292292292292292292292292293293293293293294294294294293293294294294294295295295295296296296297298298297296295295295295294294293293293292292292292292291292291291291292292292292292292292292292292292291291291291291291291291290290289289289289289289290290290290290290290290289289288287287287286286285285285285284284284284284284284284284284283283282282283283282282282282282282282282283282282282282281281280280280279278278278277277277276276276275275275275275274274274274274274274274274275275275275276276276276276276276277276277277277278278278277277277277277277278277278277278278278278278278278278277277277277277276276276276275275275275275275274274274274274274274274274275275275274274274274274275275275275276276276276276277278277277276276277277277277277277277277277277277277276276276274274274273273273273272272271272271271273271271272273273272272273271271271271271270270269270270270271272271271270271270270270269267267267268268268267267268267267267267267268268268269269269268268269270271270269269270271270270269269268269269269269270270270270270270271271271271271270270270270269269269269268269269269270270270270269270270270270270271271272272273273272272271271272272272272271271271271271271271271271271271270270270270270270269269269269269269269269269269269269269269269269269270269269269269268268267266265265265265264265264264264264264265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274271269273272267266268268270269270272274275277278278279279280280281282282282283284286289290290290291291291292292292294294294294292294296296297298299300300300300300300300300298298297295296295295296295295294294294295294294295294294296297297296296296296295296294295294291999999285286287288289291292293293294295296295295295295295294294294294294295295295295295294294294294295294294294294294294294295294294294294293293293293293292292292292292293293293293293293293294293293293293293294294294294295295295295295296297298298298296295295295295294294293293293292292292292292292292291291291292292292292293292292293292292291291291291291291291291291291290290290290290290291291291290290290289289289289289288288287287286285285285284284284284284284284284284284284284283283282282282282282282282282282282282282283282282282281281281280280280279278278278278277277276276275275275275275275275274274274274274274274275275275276276276277276276277277277276276277277278278278278278277277277277277278278278278278278279279278278278278278278278278278278277277277276276276275275275275274274274274274274274274274274274274274274274275275275275275275276276276277277278277277277276276277277277277277277277278277277277276276276275274274273273273272272271270271271270270271271271272271272271271271271271271271270270269269270269271272272271271271271271271270269269268268268268268268268267267268267267268268268269269269269269269270271270270270269271272271270270269270270269269270270271271271271271271271271272271271270270269269269269269268268268269270270270270270269270270270271272272273274273273272272272272273272272272272271271271271271271271270270270270270270269269269269269269269269269269269269269269269269269269269269270270270269269268268267267266266266265265265265265265265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271271271269267268269270270270273276276278280281281282282283283285285284283283285288290290290292291291293293293294294294294294295296297297298300300300300300300301300300299298297298297297297296296297296294296296295296296296296296297296296297297297297298296295295999288288292293292292293293293294295296296296295295295295295294294294294294295295295295295295295295295294294295295294295294294295295295295295295294295294294294294294293293293292293293293293293293293293293294294294294294294294294295295296296297298298298297296295296295295295294293293293293292292292292292292291291292293292293293293293293293292292292291291292292292292292292291291291291291291291291290290290290290289289289288288287287287286286285285285285284284284284284284284284284284283283283282282282282282282282282281282282283283282283282282281281280280279278278278278277277276276276275275275275274274274274274274274274275275275275276276277277277277277277277276277277278278278278278278277277277278278278278278278278279279279278279278278278278278278278278278278277277276276276276276275275275275274274274274273273273273273274274275275275275276275275276276277277277277277276276276276277277277277277277277277277277277277276276275274274273273273273272271271272270270270271271272272271271272271272272272272271271270269269270271272272272272271271270271271271270270270269268269269268268268268267268268268269269270269269269269270270270270269270271271272271270269269270270270270270270270271271271271271271271272272272271270269270270270270270270269269270270270270270270270270271272272273273273273273272272271271272272272271271271271271271271271271271270270270270270270269269269269269269269269269269269269269268268269269269270270270270270269269269268268267267266266266266266266266266266265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266271271271268268268268269269270274276277278280281282283283285286286286286285283284286289291290292292292292293294294295295295294295296297297299300300300300301300301300300300299297297297297296296297298297295296297297296297297297296297296296297298298297296296296293292293294294294293295295295296296296296296296296296296295295294294294295295295295295295295295294295294295295295295295294294294295295295295295295296296296296295295295295294294294293293293293293293293294294294294294294294294294294295295296296297298298298297297296296295295295295294293293292292292292292293292292291291292293293293293293293293293292292292292292292292292292292292292292291291291291291291290290290290289289289289288287287287286286285285285285284284284284284285284284284284284283283282282282282282282282281282281282282282282282282282282281281280279278278278278277276276276276275275275274274274274274274274274274275275275276276277277277277277277276276276277277277277278278278277277277277277277277278278278278278278279278279278278278278278278278277277277276277277277277276276276275275275275275274274274274274274274274274275275276276276276276276276276276276277277276276276276277277277277277277278278277277277277277276276275274274274273273272272272271271271270271271271271271272272273272271271271271272271270270272272273273272272272272272272271272271271270270269269269269269269268268268268268269269269269269269269270270270270270271271272272272271270270270270270270270271271271271271271271271272271272272271271271270270270270270269270270270270270270269270270270271273273273273273274273272272271271272272272271271271272271271271271271271270270270270271270270269270270269269269269269269269269269269269269269270270270270270270270269269268268268268267267267266266266266266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272269270270272271271268268266263265268271273275277278279281282282283285287288289289287285284286289291290290289291292293294295295296295295296296297298300300300300300300300301300300299299299298297297297296298297297297298297297297298297297297297298298297298298296295295296294295295293292293295296296296296296296296296296296296296295295295294295295295295295294294295295295294294294294294294294294294294294294295295295295296296296296296296296296295295295295294294294293293293293293294293293294294294294294295296297297297298298297297297297296296295295295294293293292293292293293293292291292291292292292293293293293293293292292292292292292292292292292292292292292291291291291291290290290290289289289288288287287286286286285285284284284284284284284284284284284284283283283282282282282282282282282282281282282282282282282282282282281280279278278278278277276276275275275274274274274273273274274274274275275275276276277277276277277276276276276277276276277278277277277277277277277277277277277277277277279279279279279279278278278278278277277277277276277277277277277277276276276276275275275275274274274274275275275275275276276276277276276275275275276276276276276276276277277277277277277277277277277277277277276276275275274274274273273272272271271271271270271271271272272272272272272272273272272272270270272272273273272272273273273273273273273272271271271270269269269270268268268268268269269269270269269269269270270269270271272272272272272271270270270270270270270270271271272272271272271272272272272271271270270270270270269270270270269270270269270271272272273273273273274273273272272272272272272272272272271271271271271271271271271270270270271270270270270270269269269269269269269269269269269269269269270270270270270270269269269268268268268267267267267266266266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285281276271273273273272270265264265264262267273274276277278279280282281282284288289289289288287286286289291290290290291291292294295296296296297297296298298300301299300301302301301300300300300300299297297298299298297297298297298298298298298299298298299299298298298297296295296296295294292999295296296297296296297297296297296296296296295295295295295295295295295295295295295295295294294294294294294293293293293294294294295295295295296296296296296296296296296296296295296295295295294294294294294294294294294295296296297297297297297297297297296296296295295295294293293292292292292292292291291291291291291292292293293293293293293292292292292292292292292292291291291291291291291290291290290290290289289288289288288287287286286286285284284284284284284284283283283284283283283282282282282282282281282282282282282282282282281282282282282281281280279278278278277276276275275274274274274274274274274274275275275276276276277277277277277277276275275276276276277277278278277277277277277277277277277277277277278279279279279279279279278278278278277276276276276277277276277277277277277276276275275275275275275275275275275275276276276276276276276276276276276276276276276276276276277277277276277277278277277277277277277276276276275275274274274273273272272272272272272272271272272273273272272272274274273273271272272273272272273273273273273272273273272273272272271271270269269269270269269269269269269269269269270270270270270270271271272273273273272272271270270269269270270270270270270271271271272273272272272271270270271270269269270270270270270270270271271271272273274274274274274274274273273272272272272273272272273272272272272272272271271271271271271271271270270270270270270269269269269269269269270269269269269270270270270270270269269268268268268268267267267267267267266266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290288283278276276271270269267264260262266266269274276277277278279280281282282285288289290290289289289286287289289289289291292293294294295296297298297297298300300300300300300300300301301300300300300299298298298299298298298299298300299299299299298299298299300299298298298297297296296297294292999295296296296296297297297297297296296296295295296296296295295295295295295295295295295295295295294294294294294294294294294294294295295295295295296296296296296296296296296296296296296296296296296295295296296295295296296296297297297297297297297297297297296296296295295295294293293292292291292292291291291291291291292292293294293293293293292292292292292292292292292291291291291291291291291291290290290290290289288289288288288287287286286285284284284284284284283283283283283283283282282282282282282282282283283283283283282282283282282282282282282281280279278278278278277276275275275275274274274274274274275275275275276276277277277277276276275275275275275276276277277277277277277277277277277277276277276276277278278279279279279279279278278278277277276276276277276277277277277277277277277276276276276276276276276276276277277277277276277277276276276276276276276275276276276276276277277277277277277277278278277277277277277277277276276275275275274274273273273274273273273273273273274274274274275274274273274272272272272272272273273273273273273272272272272272272272271271270269269270270271270270269270271270270271271271271272272273273273274274273272272272271269269269269270270270270270271271271273272272272272271271270270271270270270271271271272272272273273273274275275276275275274274274273272272272272273272273273273273273272272273272272272271271271271270271270270270270270270269269270269269269270270269270269269270271271271271270269269269269269269268268268268268268268267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294289287283280276276274272269267264264265266269272275276277278279279281282282284286288290290290290289289289288288289289292292294295295296296297298298299298300301302300300301301300302301300300300300300300299299299298298299299300300299300300299299299299298299299298298298298298297297297297294295294296296296297296297297297297297297296296295296296296296296295296295295295295295296295295295295295294294294294294294294294294294294294294294295295295295296296296296296296297297296296296296296296296296296296296296295296296297297297297296297297297296296296296296295295294294293292292292292291291291291291291291291291292292293293293293293292292292292292292292292291291291291291291291291290290290290290290290289288288288288287287287286286285284284284284284284283283283283283283282282282282281282282283284284283283283283282282283282282283283282282282281280279278278278277277276275275275275275274275275275275276276276276277277277277277276275275275275275276276276277277277278277277277277277277276277277277276276277278278279279279279279278278278277277277277277277277277277277277277277277277277277277276276276277277277277277278277278277277277277276277277276276276276276276275275276276276277277277277277277278278277277277277277277276276276275275275274274274274274274274274273273273274274275274273273274273272272272271272272272273273274274273272272271272271272272271271271270271270270270270270270271271272272273272273273273273273273273274274275274273273272272271270269269269270270270270271271272273273273272272271271271270270271271271271272272273273273274274274275275276275275274274273273273273272272272272272272273273273273273273274274274273273272271272271271271271270270270270270270270270270270270270270270269269270271271271271271270269269269269269269269268268268268268267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294294292285285283277276275275273270270269263264267269271274276277278279280281282283285287289291291290290290290291290290290291294295295296296296297297299299300300301302301301300301301301301302301300299300300301300299299299299299300300301300300300300299299299299299299299298298297297296999296297295999294296296297297297297297297297297297296296296296296297296296296296296296295296296295295295295295295295295295295295295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296296296296296296296296296296296296296297297296296296296296296295294295293292292292292292292292291291291291291291291292292293293292292293292292292291292291291291291291291291291291290290290290290290289289289288288287288287287287287286285284284284284284284284283283283282282282282281281282282283284283283283283282282282282282283282282283283282282282282280279279278278277277276276276276275275275275276276276276277277277277277277276275275275275275275276276277277277278278277277277277277277277277277277276277277278278279279279279279278278278277277277277277277277278277277278277278277277278278277277277277277277277278278278277277277277277277276276276276276276276276275275275276276276277277276276277277278278277277277277277277276276276275275275274273273273274274274274274274275275275274273273273273273273273272272272272272272273274274273272272272272271272272272272272272272271271271271271271272274274275275275275275275275275275274275275275275274273273273273271270269270269269271271270272272273273273273272271271270270270271271271272272273273273274274274275275275275275275274274274273273272272272272272272272273273273273273273274274274274274273273272272272271271271271271270270271271271270270270270270270269269269271271271271271270270269270269269269269269269268268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285999285281287290291274278277281281279275273272273273270269266265266268271274277278278279281282283285287287289289290290290289289291291292292293293296296297297298297298299300301301301301301301300301301300301300300300299300300300299299300299299299300300300300300299301299298299299299299300299299298298999999999296292291294296296297297297298297298298297297296296297297297297297296296296296296296296296296296296296296296296296296296296295296295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296296296296296296296296296296297297297296296296296295295295295294294293293293292292292292292291291291291291291292292292292292293293292292292291291291291292291291291291291291290290290290290289289289289288288288288287287287287287286285284284284284284284283283283282282282282282282283284284284284283283282283282282282283283283282283284283282282282282281279279278278278277277276276276276276276276276277277278278277277277276275275275275275275276276277277276277277277277277277277276277277276277277276276277277278279279279279279278278277277277277277277277277277277277278278278277277277277278278278278278278278278278278277278277277276277277277277277276277276275274275275275276276277276277276276276277277277277277277277277276276275275274274274273274273274275275275275275276275275275274273273274272273273273272272272273273274274275274273273272272272272272273273273273273273272273272272272274275276276275275275276276275276276276275276275275275274274274273273271270270270271271271271272272273273273273272271271271271270271271272273273273274274275275275275275276276275275274274274273273272272272272272272272272272273273273273274274274274274274274274273273272271272271271271271271271271271270270270270270269269269270271271271271271270270270270270269270269269268268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285280285277277999999999270275278274272272271270269268266264264267273276278279279281282283284286288288288288289290289288289290291291292293296296296297298299298299299300301300300301301301301301300300302301300300299300300300300299300300299299299300299300300300300299299299298299299299299299299297296999295295295294295296296297297297298297297297296297296296296296297296296296296296296295296295295296295296296296296296296296296296295295295295295295295296295295295295295295295296296296296296296296296296296296296296296296296296296296296296296296296296296297297297296296296295294294294294294294293293293293293292292292291291291291291291292292291292292292292292292292291291291291292292291291291291291291290289290290289289289288288288287287287287286286286286285285285284284284284283283283282282282282282283284284284284284283282282282282282282283283282282283284284283283283282282281279279278278278277277277277276276277277277277277277277277277276276275275275275276276276276277276277277277277276276276276276276276277277277277277277277278279279280279278278278278278277277276276276276276277277278278278278278278278278279279279279278278278278278278277277277278278277277277277276276275275275275276275276277277276276277276276277277277277278278277277277276276276275275275275274274274275275275276277275275276275275274274274274274274273273274273273273274274274274273273273272272272272272273273273273273272274273273273274275275275276276276277276276276276276275276275275275275275275274274272272272272273273273272273273273273273273272272271271271271272272272273273274275275275276276276276276275275275275274274274273272272272272273273272271272272272272273273274274274274274274274273273273272272272271272272271271271271271271270270270269268269271271271271271271271271271271270269270270269269269269269268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278277273272999272269270267264263266273277279280281282283284285287289288288289289290289289289289290290292295295296297298298299299299299299300299299300300301300301301301302301301300299300300300299300299300299299300300299299299300300300300300299299299299299298298299298297297296295295295296297298298298297298297297297297297297296297297296296296296296295295295296295295295296296296296296296296295295295295295294295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296296296296296297296297297297297296296295294294294294293293293293293293293292292292292291291291290291291291292291291291292291291291291291291291291291291291291291291291290290290290289289289288288287287287287287287286286286286285285285284284284283283283283282282282283283283283284284284283283282282282282282282283283282282283284284283283283283282282281279278278278278278277277277277277278278278278278277277276276276276276276276275275276276276276276277277277276275276276276276276277277277277277277278279279280279279279278278278278278278277277277276277277277277278278278278277279279279280280280279279278278279278278278278278277276276276276275275275276276276277277277277277277277277277277277277278277278278277278277276276275275275275275275274274275275275277276276276276275275275274274274274273274274274274273273274274274274274274273273273273273272273273273273274274274275274275274275275276276276277277277277276276276276276276276275276276276274275274273273273274273274272273273273273274273272272272272271271272272273273274275275276276276276276276276275275274274274274273273272272272273273273272273272272271272273273274274274274275274274274274274273273272273272272272272271271271271270270270269269270271272272272271272271272271271271271270270270270269269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280277273267999999999269268267268272276278280280282283285285286287289289289290290291290290290290290290291295295296296298297298299299299299300300299300300301301302301301301301301301301300300300300300300300300300300299300300299299299301301301300300299298298298298299299298297296296296296297297298298298298298297297297296297297297297297297296296295295296296296296296296296296296296296296296296296295295294294294294294294294295295295295295295295295295295296296296296296296296296297296296296296296296296296296296296296296296297296297296295294293293294294293293293292292292292292292291291291291291290290291291291291290290291291292291291291291291291291291291291291290290290290289289289289288288287287287287287287287286286286286285285285284284284283283283282282282283283283283284284283284284283282282282282282282282282282282283284285284283283283283282282281279278278278278278278278278278279278278278278278277277276276276276277276276276277277276276277277277277276276276276276277276277277277277278278279279280280280279279279279279279279278278278278278277277277278278278279278278280280280280280280280280280279279278279279278277277276276276276277276276277277278278278278278277277277277277277277277278278278278278277277276276275275274274275274275275276275276277276276275276275274275274274274274274275274274274273274274274275275275275275274273273273272273273273274275275276276275275275275276276276277277277277277276276276276276276275276276276275275275275274273274274274274273273273273274274273273273272272271271272272273274275276276276276277277276276276276275274274274274274273273272272273273273273273272272272272272273274274274274275274274274274274273273273273273273272272272272271271271271271270269270271271271272272272271271271272272271270270270270270270269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270268266999268268268271275278280280281283284285285286287288289290291291292291292291291291292292294296296295298297299299300300300301300300300301301301301301301301301301301300300300300300300300300300301300299300300299299300301301301300300298297298298298298299298297297296297297297298298298298298297297297297297298298298298297297296296296296296296296296296296296297297297297297296296295295295295294294294294294294294294295295295295295295295296296296296296296296296296296297296296296296296296296296296296296296297297296296295295294293294294293293292292292292292292292291291291291291291290290290291291290290290291291292291291291291291291290291291291291290290290289289289289288288288287287287287287287286286286286286285285285285284284283283282282282282283283283283284284283283283282282282282282283283282281282283283284285284284283283283283283282281280280279279279278279279279279279278278278277277277276277277277277277277277277277277277277278278277276276276276276277277277277277278278279279280281281280280279279279279279279278278278278278278278278278278279280280280280280280280280280280280280280279279278278277277277277277278278277277278278278278278278279279278278277277277277277277278278278278278278277277276276275275276275275275275276276277277276276275276275275275275274274275274274274274273273274274274275275274275275274274274274273274274274275275275275276275275275276277277277277277277276277277276276276276276276276276276276276276275275274274273274274273273273274274273273273273273272272272272273274274275276276276277277277277276276276276275274274274274274273273273273273274274274274273273272272273273274274274274274274274274274274274274273273273273272272272271271271270271270270270271271271272271271271272272272272271271270270271270270270269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268267265267270273277280281283283284285286286287288289289290291292293293293293293293294295295296295296297298299300301301302301301300301301301301301301301300300301300300300300299299300300301300300300299299299300299300301300300299299298298298297297298298298297297297297297298298298298298298297297297297298298297297297297297296296296296296296296296297297297297297297297297296296295295295295295294294294294294294294295295295295296296296296296296296296296296296296296296296296296296296296296296296296296297297296296296295294294294294294293293292292292292292292292292292291291291291290290290290291290290291291291291292291291291291290290291291291290290290290289289289289288288287287287287287287287287286286286286285285285285284284283283283282282282283284284283283283283284283282282282282282283282281281282283283284284284284283283283283283283282282281281280279279279279279279278278278278277277277277277277277277277278278278277277277277277277276276276276276276277277277277277278279279279280281281281280279279279279279279279279279278278278278278279279280280280280280280281281281281281281280280280280280279279278278278279279278278278279279278278279279279279279278278277277277277278278278278278278278278277276276276276275275275276276275276277277277275275275276275275274274274274274274275273273274274274274274274274275275275274274274274274274274274275275275275275275276277277277277277277277277277277277276276276276276276276276276276276276275275274273274273273273274273274273273273274273273273273273274274275276277277278277278278278277278277277276276275274274274273273273274273274274273273273273273273273273273273274274274274274274274274274274273273273272272272271271271271270271270269270271270271271271271271272272272272272271271271271270269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274273272265269270273276279281283284283284285286287288289290290290291292292292294294294294296295297297297298299300301301302301302302301301301301302301301301301301301300300300299300300300300300300300299299299300300300300300300301299299299299298298297298297297297297297297297297297297298298297297297297297297297298298297297297297296296296296296296296297297297297297297297297297296296296295296295294294294294293293293294294295295295295295295296296296296296296296296296296296296296296296296296296296296296296297296296296295295294294293293293292292292292291292292292292292292291291291291290290290290290290290291291291291291291291291290290290290290290290290290290289289289288288287287287287286286286287286286286285285285285285284284284283283283282283283283283283283283283283284283282282282282282283282281281282283283284284284284283283283283283283282282282282281280279279279279279279279278278278278277277277278278278278278278278278277277276276276276276277276276276277277277278278278279279280281281281281280280279280279279279279279279279279279278279279280280280280280281281281281281281281281281281280280280279278278278279279279279279279279279279279280280280280279278278278278277277277278277278278278277277276276276276276275276276275275275276276277276275275275276275275274274274274274275275273273274274274274274274274275275275275275275274275275275275276275276275275276276277277277278277277277277277277277277276276276276276276276276276276276275275274274274273273274275274274274274274274274274274274274274275276276277277278278278279278278278278277277276275274274274274273273273273274274273273273273272272272273273273273274274274274274274274273273273273272272272272271271271271270270270270270270270270270270271271271272272272271271271270270270270269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274272273271270271272275278280283284284284285285286287288289290291291290291290291293294294295296296298297298299299301301301302302302302302302302302302301302302301301301301301300300300299300300300300299299300300300300300300301301300299298297300299299298298297297298298297298297298298297298298298297297297298298298298298297297297297297297296297296296296297297298297297298298297297296296296295295294294293293293293293294294294294295295295295295296296296296296296296296296297296296296296296296296297296296296296296296295295295294294294293292292292292291291291292292292292292291291291291291290290290290290290290291291291291291291291291290290290290290290290289289289289289288288287287287287287286286286286286286285285285285284285285285284284284283283283283283283283283283284283284283283283282283283283281281282283284284284284284284284283283283283283282282282282282281280280279279278279279279278278278278279279279279279279279278278278278277277277277277277277276276277277277278278278279280280280281281281281281280280280280279280280280280280280279279279279279280280280280281281281282282281281281281281280280280279278279279279279279279279279279279279279280280280280280279279279278278278278278278277277277278277277276276276276275276275275275275276276277277275275275275275275275275274274274275275273273273273274274274274275275276276276276276276276276276277276276277277277276277277278278278278278277277277277278277276276276277276276276275275276275275275275274274273274275274274274274274274274274274274274274275275276276277277277278279278278279278277277277276276276275274274273273273274274273273273273272273272272272272273273274274273273273273272272272272271271271271271271271270270270270270270270270270271271271271272272272272273272272271271271270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999999279275273273272278281284283284284285285285286287288290291291291292292291291293293294295296298297298299300300301301301302302303302302302302302302302302302301301302301301300300300299299299299300300300300300300300300300300300300299299298300299299299298297297298298298297298298298298298297297297297298298298299299298298298297297297297296297296296296297297298298298298298298297297296296295295294294293293293293293294294294295295295295296296296296296296296296296297297297296296297297296296296296296296296296296296295295294294294294293292292292292291291291291292292292291291291291291291290290290290290290290291290290290290291291290290290290290290289289289289289289289288288288287287287286287286286286286286285285285284284285285285285284284284283284284283284284283284283283284283283283283283283282281282283284284284283283284284283283283283283282283282282281281281281280280279278278279278279279279278279279279279279279279278278278278278278278278278277276276277277277278278278279279280280281281280282281281281280281280280280280280280280280280280280280280280280280281281281281282282281281282281281280280280279278279279279279279279279280280280280280280281281281281280280280279278278278278278278277277278277277277276276276275276275275275275276277278277275274275275275276275275274274274276274274274274274274274275275276276276276277277277277277277277277277277277277277278278277278278277277277277276276276277277277276276276276276275275275275275274274274274274273274274274274274274274274274274274274274274275275276277277277278278278278278278278278277277277276276276275275274274274274274274273273272272272271272272272272273273273273273273273272272272272272271271271272272272271271271271270270270271271271271272272272272272272273272272272271271271270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284999999999278282278273274274279282284284284285285285285286287288290291292292293293293293293293294295297297298298298299300300301302302303303303303302302302302302302302302301302301301300300299299299299300300300300300300300300300300300300299299297299300299298298299298298298298298298298298298298297297297297298298298298299299298298297297297297297297297296296296297297298298298298298298297297296296296295294294293293293293293294294294295295295296296296296296296296297297297296296297296297297297297296296296296296296296296296295294294294294293293292292292292291291291291291291291291291290290290290290290290289289290290290290290290290290290290290290290290290289289288288288288288288287287286287286286286286286285285285285285285284284284285284284284284284284284284284284283283284283284284282283283283283283282281282283284284284284283283283283283283283282282282282282281281280281280280279279278279279279279279279279279279279279279278278278278278278278278278277277277277277277278278279279279280280281281281281282282281281281281281281281281280281281280281281281281281280280281281281281281281281281281281281281280279279279278279279279279279280280280280281281281281281281281281281281281280279279279279278278278278277277277276276276276276276276276275275277277277277277275275275275275276275275275274276274275275275275275275276276276276276276276276277276277278276276277276277277277277278277277277277277277276276276276276277276276277276276276276275274275274275274275275274274274274274274274274274273273273273274274274275275276276277277277277278277277278277277277277276277277276276275275275275275276275274274273273273273272273273273273274273273273273272272272272272272271271271272273272272272272271271271271271271271271272272272272272272273273272272271271271271271270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281282278275275276280284284284286285286285286286287289291291292293293294294294294294294296297297298298299300300301302302303303303303303303302302302302302302302302302302301300299300300299300300301300300300300300300300300300300300299299299299298298298298298298298298299299298299299298298298298298298298298299298298298298297297297297297297297297296297297298298298298299298298298297297296296295295294294294294294294294294294295295296296296296296296296296296297297297296297296297297297297296296296296296296295295295294294294294294293293292292292292292291291291291291291291291291291291291290290290290289289289290290290290290290290289289289290290290289289288288288287287287286286286286286286285285285285285285285284285284284284284284284283284284284284284284284283284284284284283283283283283283282282281282283283284284284284284283283283283283283282282282282281281280280280280280279279278279279279279279279279279279279279279278278278279278279279278278278278278278278278279279280279280281282282282282282282282281282282281281281281281281281281282281281282281281281281281281281281281281281281281281280280279279279279279280279280280280280280281282282282282282282282282282282282282281281280280280279279278277277276276276276276276276277277276276277277278277277276275275274275275275276274276277277275275275275274275275275275275276276276276276276276276276276276277277277278277278278277277276276276276276276276277276276276276277276275275274274274274274274274274274274274273274273273273273273273273273273274275275276277277277277277278278278278278278278278277277277277276277276276277276276276276275274274274274274273273273273274274274274273273272272272272272271271271271272272272272272272271271271271271271271272272272273273273272272273273272272272271271271271270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286999999999281279276276280282283285285285285285287286287288289291292293293293294295293294295296297297298298298299300301302302303303303303303303303302302303303302302302302302302300300299300300300301301301301301300300300300300300299299299299299299299299299299298298299299299299299299300299298298298298298299299299299299298298298298297297297297297297297297297297298298299299299298298298298297296296296295295295294294295295295295295295295296296296296296296296296296297297297297297297297297297296296296296295296296296295294294294294294293293292293292292293292292292291291291291291291291291291291291291290290289289289290290290290290290290289289289289289289289288288288288287287286286286285285285285285285285285285285284284285284284285284284284283283283284284283283283283284284284284283283283283283283282282281282283283284283284284284283283283283283283283282282281281281281280280279279280280279279278279279279279279279279279279279278279278279279279279279278278278278278278278279279280281280281281281282283283282282282283283282282282282282281281281281281282282282282282282281281281281281281281281280280280280279279278279279279280280280280280281281282282282282283283283283283282282282282281281281280280279279278278278277277277276276276276277277277277278277277277276275275276275275276275276277277276276276275275275275276276276276275276276276275276275276276276276276277277277277276276277276275276275275275275275275276275275276276275274275275274275274274274274274274274273274275274273273273274273273274274275276276276278277278278278277278278278277278278278278278278278277277278276275277277275275275274274274274274274274273274274275274274273273272272271271271271271271272272272272272272272271271271271271271271272272272273273273273273273273272272272272271271271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274281279280999275278277280281284285285285285285287286287287288289291292292293293294294295295295296297297298298298299300301302302303303303303303303302302302302303302302302302301301300300300300301301301301301301301300300300300300299299299300299300300300300300299299299299300300300299300299299298298298299299299299299299299299298298298298297297297297297297297297297298298299299299299299299298297297297297296296296295295296296296296296296296296296296296296297296297297297297297297297297297297297296296296296296295296295294294294294293293293293293293293293293293293293292292292292291291291291291291291290290290290290290290291291291291291290290290289289289289289288288288288287287287287286285286286285286285285285284284284284285284284285284284284284283284283283283283284284284285285284284284283283283283282282282283282282283283284285284284284283283283283283283282282282281281280280279279279280280279278278278279278279279279279279279279279279278279279278278278278277278278278278279279280280280281281281281282283283282282282282282282282282282281281281282282282282282282282282282282282282281280280280280280279280279278279279279279280280280280281281281281282282283284284284284283283283283283282282282282281280280279279278278277277276276276276277277277277277277278277276276275275275275276276275277276276276274274275275274275275276276275275276276275275276275275276276276277276277276275276276276276276275275276276276276276276276275275274275274274275275274275275274274274274274274274275274274274274274274274275276277277277277278277278277277277277278278278278278278278278278277278278278277277276275274274274274274274274274274274274275275274274273273272272271271271271271271272272272272272272272272271271271272272272272273273274274274274273273273273272272272272271271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280284281280279280280282285285285285286287286287287288289290291292292293293294295295295295296296297297298299299300301302302302302302303302303303302302303302302302301301301300300300300300300301301301301301301300300300300300300300300300300300300300300300300300299299300300299300299299298298299299299299299299299299299299299299298298297297298297297297297298298298298299299299299299299299298298298297297297296297296296296296296296296297297297297297297297297297297297297297297297297297297297297296297296296295295294294294293293293293293293293293293293293293292292292292292292291291291291291290290290290290289289290290290291291290290290290290290290290289289288288288288287287287287286286286286286286285285285284284284284284284285285284284284283284283283283283283284284284285285284284284283283283283283282282283282282282283284285284284284283284284283283283283282282281281280280280279278279280280279278278278278278278278278278277278278278278278278278277277277278278278278279279279280280280280279280282282283282283282282282282282282282282282282282282282282282281282282283283283283282282282281281280280280280280279279279279279279280280280281281281281282282283284284284284284284284283283283282282282281280280279278278277277276276275275276277277276277277276277277276275276275276276276275277277276276276276275275275275275276276277276276277276276276276276276276277276276277276276276277277277276275275276276276276276276276275275275275275275275275275275274275275276275274274274275274275275275275275274274275276276277277277277277277277277277277277278277277277278278278277277278278278277277276274274275274274274274274274274274275275275274274273273272272271271271271271271272272272272272272272272271271272272272272272273273274274274273273273273273273273272272272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286283281279279281283285285287285286287286286287288289290291292292292293293294295295295295296297297297298299300301301302302302302302302302302302302302302301301300300299299299299300300300301300301301300300300300300300300300300300300300300300300300300300300300300300300300298298298298299299299299299299299299299299299299299299298297297297298298297297298298298298299299299299299300299299299299298298297297297297297297298298298297297297297297297298297297297297297298297297297297297297297297296296295295294294293293293293293293293293292292293293292293292292292292291291291291291290290290290290289289288288288289289290290290290290289289289289289289289288288288288288287287286286286286286286285285285285284284284284284284284284284284283283283283283283283283283283284284284284284284284284284283283283282282283282282282283284285284283283283283283283283283283283282281281280280280279279279280280279279279278278278278278278278277278278278277277277277278278278278278278278279279280279280280280280281282282282282282282282282282282282282282282282282283283283283282282282283283283282283282282282281280280280279279279279280279279279279279280280281281281281281282283284284284284284284284283283282283282282280280280279278278277277277276276277277277277277277278278278277276276276277278276275277277276276277276275275276275276276276276277276277276276276277277277277276275275277277276276276276277276275275276276276276276275275275275274274275276275275275276275276276275275275275275275275275275275275275275275275275276276276276276277277277277277278277278278277278278278277278277278279278278277276275275275274274274274274274275275275275275274274273273272272272271271272272272272272272272272272272272271272272272272272273273273274274274274274274274273273273272272272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284286283282281279283285285286286285286286286286287288289291292292292293293294295295295295295296297297297298299300300301301301302302302302302302302302301301301300300299299299299299300300301301300300300300300300301301300299300300300300299300300300300300300300300300300299299298298298298299299299299299299299299299299299299299299298297297297298297297297297298298298298299299299299300300299299299299299299299299298299299299299299298298298298298298298298297297297298297297297297297297296297296296296295294294293293293293293293293293293292292292293292292291291291291291291290290290290289289289289288288288288287288289289289289289289289289288289288288288288288288287287287287287286286286286286285285284284284284283283284283283284283283283283282282283283283283283283283284284284284284284284284284284283282282283282283282283284284284283283283283283284283283283283282281281281280280280279280279279279280279279278278278278277277276277276276277277277277278277277277278279279279279280279279280280280280281282282282281281281281282282282282282282283283283283283283283283283283283283283283284283282282281281281280280280280280280280279280281281281282282282282281282283284285285285285285285284283283282282281281280280279278278278278277277277277278277277278277277278278278277276277276277276276277275277277277276276275276276276276276277276276277277276277277277276276275275276276277276276276275276276275275276276276275275275275275274274273274276275275275276276276276275275275275275275275275276276275275276275275276275276276276276277276277277277278279277278278278278278278278278278279278278277276276275275274274274274274274275275275275275274274273273273272272272272272272272272272272272273273272272272272272272272272273273274274275275275274274274274274274273273273273272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287282280284283282283286285285285286286286286287288288289291292292292293293293295296296296296297297297297298299299300300301302302302302302302302301302301301300299299299299300300300300300301301301301301301301301301302301301301300300300299299300300300301300300300299299299299298298298299299299299299299299299299299298299299299299298297297297297297297297297297297298298298298299299299299299299299299299299299299299299299299299299298298298298298298298298297297297297297297297297296296296296296295294294293293293292292292292292292292292292292292292292292291291291290290290290289289289289289289289289288288288287287288289288288288288288288287287287288287287287287287286286286286286286286286285285285284284284283283283283282283283282282282281281281282282282282282282282283283283284283284284284284284283282282282282282282282283283283282282283282282283283283282282281282281281281281281281280279279279280280279279279279278278278278278277277277277278278277278278278279279279280280280280280280281281281282282282282282282282282282282283283283284284284284285284285284284284284284284284285284284283283282282282281281281281281281280280280281282282282282283282282282283284285285286286285285284283283283282281280280280280279279278278278278277278278278278277277278277277278277276276276276276276276277277277277276276275276275276276276276277276277276276277277276276276276275275277276276276276276276275275275276276275275275275275275275274274275276276275275276276275276275275276275275275276276276275276275275275275275275276276276276277277276277277277278278278278278279278278279279279279278278277276276276275275275274274275275275275275275275274274273273273273272272272272272272272273273273273273273272272272272272272272273273274274275275275275275275275274274273274273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283290284280279283283283284284283284284285285285286287288288289291292292292293293294295296297297296296297297297297299300300300301301302302302302302302301301301300299299299299300300300300301301301301301301301301302302302302302301301301301300299299300300300300300299299299299299299299299299299299299299299299299299299299299299299299299299299298298297298298298298298297298298298299299299299300299299299299299299300299299299299299299299299299298298298298298298298297297298297297297297297296296296295295294294293293293292292292292292292292292292292292292291291291291291290290290290289289289289290290290290288288288286287288288288288288288288288287287287287287287286286287286287286286286286286286285285285284284284283283283283283283283282282281281281281282282282282282282282283283284284284284284284284284284284283282283283283282283283283283283282282282282283282282282282282283282282281282281282281281281281280280280280279279279279279278278277278278278278278278279279279280280280281280280280281280281281282282282282281282282283283283283283284284284285285285285285285285285285285285285285284284284283283282283282282281281281281281281281281282283283282282282282282283284284284285285285284283282283282282281281280280280280279279278278278278278278278277277278278278278278277276276276275275275276277277277277277277276276276277276276277276276277276276276276276276276276276275277277275276276275275275275275276275275275275275275276275275275276276276275275275276276276276276276275275275276276276276276276275275276275275276276277277277277277277277278278277277278278279279279278279279279279278278277277276276275275274275275275275275275275275274274274273273273273273273273273273273273273274273273273272272272273272272273273273274274274275276276276276276275274274274274273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290283280279283282283283283284284285285285285287288288289290290292293293293293295295296297297296296297296297298298299300300301301301301301302301301301301300300299299299299300300300301301301301301301302302302302302303302302302301301301300299297299300300300299299299299299299299299299299299299299299299299299299299299299299299299299299299299298298299299298298298298298299299299299299299300299299299299299299299299299299299299299299299298298298298298298298298298297297298297297297297296297296296295294294293293293292292292292292292292292292292292292292291291291291290290290290290290290290290290290290290288288287287288288288288288288287287287287287287287286286287287287287286286286286286286285285285284284284283283284283283284283283282282281281282281282282282282282281283282283284284284285284284285285284283283283283283282283282282282282282282282282282282282282282282283283283283283283282282282281281281281280280280278279279279279279278278278278278278279279280280280280280281281281281280280281282282282282281281282283283283283282284284284285285285285285285285285285285285285285285285285283283283283283283282281282282281281280281281282282282282282282283283283284285284285285284283282282282282281281281280281280280279279279278279278279278278277277277278278278278277276276276276276276276275277276276276276276277277276277276276276276276276276276276276276276276276276276277276276276275275275275275275275275275275275276277277276276276276277276275275276276276276277276275276276277276276276277277276276276275275276277277277277277277277278278278278278278278279278278278278278279279278278278277277276276275275275275275275275275276275275274274274274274274274274274273273273273273274273273273273273272273272273273273273274274274275276276277276276275275274274274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281278278284282282283283284285285285286286287288289289290291293293293294294294295296296296296297296296297298299299299300300301301301302302301301300300300299299299299299300300300301302301301301301302302302302302301302302301301300300297296299298300299299298298298298299299299299299299299299299299300300299300299299299298298299299299299299299299299299298298298298299298299299299299299300299299299299299299299299299299299299299299298298298298298298298298298298297297297297297297297297297296296295294294293293293292292292292292292292292292292292292292291291291291291290290290290290290290290290290290290289288287286287288288288288287287287287286286287286286286287287287287286286286286286286285285285285284284284284284283283284283283283283282281281281282282282282282282282282283284284285285285285284285285284283283283283283283282282282282282282281282281282281282282283283283283284284283283282282281281280281280280280279279279279279279279279279278278279280281280280281281281282282282281282281282282282282281281281281282283283283283283284284284284284284285284285285285285285285285285285285284283283283283283283282281282281281281281281281281282281282283283283283285285286285285284284282282282281281281281281281281280280280279279278279279278278277277276277278277277277277276276276276275276276276276276276276276276277277277276276277276276276277277276276275276276276276276276276276276276276276276276275275275275275276276277276276276276276276276275276276276276277277276276276277277277277277277277276276276276276277278278278278277277278278278278279279279278279279278279278278278278278278278277277276275275275275275275275275275276276275274274274274274274274274274273273273273274273273273273273273273273273273273273274274275275275276276277276276276276275274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279279280280283282283284284284285285286286288288289289290291292293294294294295295295296296297296296297297298298299299300300300301301301301301301301300300299299299300300300300300301302302301301301302302302302302301301301301300298297296999999298299299298298298298298298298299299299299299299299299299299300300300299299299299299299299299299300299299299299299299298298299298299299299299299299299299299299299299299299299299299299300299299299298298298297297298297297297298297297297297297297297296296295294294294293293292291292291292292291292291291291292291291291291291291290290290290289289290290289289289290289288286286287288288288287287287286286286286286286286286286287287286286286286286286286285285284284285284284284284284283283283283283282281281281281282282281282282282282283283284284284285285285285285285284283283283283282283283282282282282281282281281281281282282283283283282283283283283283282282281281281281280279279279279279279279279279280280280281280280281281281281281282282282281281281282283282282282281282282282283283283282283283283283284284284284285285285285285285285285285285285285284284284284283283282281281281281281281281281281281281282283283283284285286286285284284284283283282281281280280280280280280280279279279278278278278278277277277278277278279278276276276276275275276276276276276276276277277277278278278278277277276277278276276276277276277276277276276276276276275275276276276275275275275275276276276277277276276276276276276276276276276277277276276276277277276277277277277276276277277277278278278278278278278278278278279279279279278277278278278278278278278278278278277276276276276276275275275275276276276276276275274274274274274274274274274273273273273273273273273274273273273273274273274275276276276276276276277277277277276276275275275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274999999279279279281281284283283283284284284285287287287288289289290291293293293294294294295294295295296296296297297297298298299300300300300300301301301301301300300300299299299300300301301301302302302302302302302302302302302302301301300298294299999297299300299298297298298298298298299299299299299299300300300300300300300300299299299299299299299299299299300300300299299299299299299298299299299300299299299299299299299299299299300299299299300300299299299298298298297297297297297297297297297297297297296296295295295294294294293292292292292291291291291291291291291291291291292292291291290290290289289289289289289289289288287286285286287288287287287286286285286286285285285286286287287287286286286287286285286285284284284284284284284283283283283283283282281281281282281282282282282282282282283285285284285286285285284284284283284283282283283282283282282282281281281281281281281282282283283283283283283283283282282282283282282281280280279279279279279280280281281281281281281281282282280281282282282282282282282283282282282282282282282282283283283283283283283284284284284284285285285284284285285285285285285285285285284283283283282281281281281281282282282282282282283283283283284285285285285284284283283282281281281280280280280280279279278278278278278278277277277277278277278277277277278277276275275276276276276276276276276277277278278277278278277277277277277276277277277277276276277276276276276276276276276276275275275275276276276276276276276276276276276276276276276276277277276276277277277277277277277276276277277277278278278278278278278278278278278279279279279278277278278278278278278278278277277277277276276276276276276275276276276276276276275275275275275275275274274274274274274274274274274274274274274274274274274275276276277277277277277277278278278277276276276275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281999284282280281282285284284283284284284286286287288289290290291292293294293293294294295295295295296296296296297298298298298299300300300300300301301301301300300300299299299300300300301301301303303302302302301302301302302302302302301299299295300298299300300299299299299299298298299299299300299299299299300300300300300300299299299299299299299299299299299300300300300299299299299299298299299299299299299299299300299299299299299300300300299299299299299299298298298298298298297297297297297297297297297296296296295295295295295294293293292292292292291291291291291290291291291292292292291290290290290290290289289289289289288287286285285286288287287286286286285285285284285285286286287287287286286286287286286286286285285285285285284285284283283283282282282282281281281281282281281281281282282283283284285285285285284284283284283284284284284283283282282282282281281281281280279280282282283283283283282282283283283283283284284283281283280280279279280280281281281281281282282282282281282282281281281282282282282283282283282282282282283282282282283283284283283283284284284284284284285285284284284285285285285285285285285285285284283283283282282282282282282282282282282283283283284285285285285285285283283283282281280280279279279279279278277278278279278277277276277277277277277277277277277276275275275275276275276277277277276276277277278277278278278278277277277278277278277277278277277276277276277276276276276276275275276275275276276275276276276276275275276276276276276276277277277277276277277277277277277277276277278278278278278279278278278278279279279279279279279278278277278278278278278278278278278278278277276276276276276276276276276277277277276276275275275275275275275275275274274274274274274274274274274274274274274275276276277277278278278278278278278278278278277276275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285282281281281283283283283282282284284285286287288289289290291292293293294294294294294295295295295296296296296297298298298299299300301300300300301301301300300300299299299300301301302302302302303303303302302302302302302302302302302300299300296300298301301300300299299299299299299299300300299299299300300300300300300300299299299299299299299299299299299299300300301301300299299299299298298298299299299299299299299299299299299299299299299299299299299299299298298298298298298298297297298298297297297296296296295295295295295295294294293292292292291291290290290290290290291291292292292292291291290290290290289289288288288288287285284284285287287287286286286285285285284285285286286286286286286286286286286286286286285285285285285285284284284283283283282282282281282281281281281281281281281282283283283284283284283284283283283284284284284283283283283282282282281280280279279279280281282282282283283283283283283283283283283283282282282282281280279280281281281281282281282282282282282282282282282282282282282283283283282282282282282283284284283283284284284284284284284285285285285285285284284284285285285285285286286285285285284284284283283283283283283283282282282283283283283284284285285285285284283283282281281280279279279279278278277277277278278278277277277278278278279277278277277276276275275275275275276276276277277277277278277278277278278277277277278278278278278278278279279278278278278277276276276276276275275275276275276276276276275274275275275276277276277277277277277277277277277277278277278278278277277278278278278279278278279279279279279278279279279278278278278278278278278278278278278278278278278277277277276276276276276276277277277276276276275275275275275276275275275276275275275275275275275275275275275275276277277278278278278279279279279279279279278277276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292287283283282281284285283283282283284284285286287287288289290291292293293293293293294294295295295295295296295296296296297298298298299300300300300301301300300300299299300300299300301302302302302303303304303302302302302302302302302302301300298299300300301301301301300300299299299299300299300300299299299300300300300300300300300300299299299299299299299299300300300300300301301300299299299299299298298299299299299299299299299299299299299299299299299299299298298298298298298298298298298298298298297297297296296295296296295295295295294294294293292292291291290290290290290290290291292292292293292291291290290290289289288288288288285283283283284286288287286286286286286285285285285286286286287286286286286286286286286287286286286286286285285284284284284283283283283281282281281281281281281281281281283283283284283286284284284283283285285283284284283283283283282282282280280280280280281282283283283283283283284283283283283285283284283283283283282282281281281281281282282282282282282282282282282282282282282282282282283283283283282283283283284284283283284284284284284284285285285285285285285285286285285285286286285286286286285285284285285284284284284284284284283284284284284283284284285285285285284283283282281280280279279279278278278277276276277277277277277277277278278277278277277277277276275275275275275276276276277277277277278278278278278278278278278278278278278278279279279279279279279279279278277276276276276276276275276276275275275276275275275275275276276276277277276277276277277277277277278278278279278278279279279279279278278279279279279280279279279279278278277278278278278277277277278278278277277277277278277277276276276276277277277278277277277276276276276276276276276276276277277277276276276276276276276276276276276277277278278278279279279279279279279279279278276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294285280280282284285285285282283283284286286286287288288289290291292292292293293293293294295295295295295295295296296296296297297298299300300300301301301300300299299300300300300301302302302302302304303303303303302302301301303302302302302300999298301302302303302301301300300300300300300300300300300299299300300300300300300300300300299299299299299299299300300299300300300301301301300300299299299298298298299299299299299299299299299299299299299299298299299298299298298299299299299299298298297297297297297297296296296296296296295295295294294294293292291290290290290289290289290291291292292292292292291291290290289289288288288287284282281281282286288287287287286286286286286286286286286286286286286286286286286286286286286286286286286286285285285284284284283284283282282281281281281280281281280282283283284284285284284284284284284285285284285284284283283283282282282281280280281282282283283283283283283283283283283283284284283283284282282282282283282282281281282282282282283283283283283283282282282282282282283283283283283283283284284284284284283283283284284284284284284284285285285285285285286286285285285285285285285285285285284285285285285285284284284285285285284284284283283284285285285284284283282282280280279278278278277277277276276277277277277277277277277278278278278277277278277276276275275275275276276276277277278277277278278278278278278278278277277278278278279279279280280280280280280279278277277276276276276276276276276276276276275276276276276276276276277277277277277277277277278278278279279279279279279279279279279279278279279279279279279279279279278278277278278278278277278278278278278277277277278277277277277277277277277277278278278278277277276276276276276276276276276277277277277277276276276276276277277277277277278279279279279279280279279279279279279278277276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296291285280280281282282282283283283284284285287288288289289289290291291292292292292293293294294295295295296296296296296295296297298298298299299300300300300300299299300300300300301301302303303303303303303303303302303302302302301301301302302300999999302302302303301302301301301300300300300300300300300299300300300300300300300300300300300299299299299299300300300300300300300300301301301301300299299298298299299299299299299299300299299299299299300299299298299299299298299299299299299299298298297297297297297297297296296296296296296296295295294294294293292291290290290289289290290290291292292292293292291291290290290289289288287286284283281278278285287288288287286286286286286286286286286286286286286286287286286286286286286286286286286286286285285284284284284284283283282281281281281281281281282281283283284284285284283283283284284285285285284284284284283283283282282281281281282282282283283282282283283283283283283283283283283284284284283283283283283283283282282283283282283283283283283283283283282282282282282283282283283284285284284284285284283284284284283284283283284284284285284284284286286286286285285285285285285285285285284285285285285285285285285285285285284284284283284284285285284284284283282281280279279278278277277277276276276276277276276276276276276277278278278278277277276275276275276276276276276276277277277277278278277278279278278278279278278278278278278279280280280280280281281280279279278277277277276276276276276275276275275276276276276276276276276278277278277277277278278278280279280280279279280280280280279279279278279279279279279279279278278277277278278278277278278278279277277277277278278277277278277277277277278278279279278278278277277277277277277277277277277277277277277277276276277277277277277278278278279279279279279280280279279280280280279279277276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291285280279278280281284283283284285284285286288288288289289290291292292292292293294294293295296296295296296296296296296296296297297298298298300300300300300300300301301300300301302303303303303303303303303303302302302301301301301301301301302301300301302302302303301301301301300301300300300300300300299300300300300300300300300300300300300300300300300300300300299299299300300300300300301301300300299300299299298299299299299299299299299299299298299299299299298298299298299299299299299299298298298298297297297297297296297296296296296296295295295294294293293292291290289289289290290291291292292293293293292290290290289289289288287286285284282281277283287289288288288287287287286286286286286286287286286286286286286287287287287287288287287287286286285285285285284284284284283282282282282282282281281281281282284284283285285284284283284284284284285283283283283283283282281281281281282282283283282282282283283283283283283283283283283283283284282283284284284283284283284284284283283283283283283282283283283282282282282283283283284285285285285285285285284284284284284285284284284284285285284284285286286286286285285285285285285285285284284284285285286286285285286286285285285285284284284284285285284283283282281281280279278278278277277276276276276276276277276276276276276277277278278278277277276276276276276276276275276276277277277277277277277278279278278278278278278278278278279278279279280281280281280280279279279278278277277277277276277276276276276276276276276276276276277277277277277278278278278278279280279279280280280280280280279279279279278279279279279279278278278277278278277277277278279279278278277277278278278278278278278278278278278279279279279279279278278278278278278278278278278277278278277278278278278278278278278278278279279279279279279280280280279279279279279279278277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293289283280279279281282284283284285285284286287288289290290290290291293293294293294295294294295296296295295295295297296296296297297297298298299300300300300300300301301301301301301302303303303303303303303303303302302302302301301301300300300301302303302302302302301301301301300300300300300300300300300299300300300300301301300301300300300300300300300300300299299298299299300299300300300300300300300300299299299298298299299298299299299299299298299299299299299298298299299299299299300299298298298297297297297297297297297297296296296296296295295295295294294293292292291291290290290290291291292292292293292292290290290289289288288286286286286285284281284287288289289288288288287287287286286286286286286286286287287287287288287288288288287287287286286286286285285285285285285284284282282281282282280280280281281283284284284285283284283284284285285285285283283283283283282281281282282282282283282282282283283283283283283284283283283284284284284284284285284284284284284283284283282283283283282282282283283283282282282282283283284285285286285285285285285284285285285285285285285285285285284284285285286286286285286286285285285286286286286285286285286286286286286286286286286285285285284285285285285284283282282281280279279278278277278277277277276276276276276276276275276276277277277277277276276276277276276276276276275275276276277278278277278278279279279279279279279279279278278279280279279280281281281281281280279279279278278278278277277277277276276277277277276276276277276276277278278278278278278279279280280280280280281281280280280279280279280280279279279279279278279279278279278278278279279279279278277278278278279278278279278279279279279279279279279280280280280279279279279279279279279278278278278278278278278278279279279279279279279279279279280280280280280279279279279280279279277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284280278279282283283283283285285286286287288289290291290291291292293294295295294295295295295295297297295296296296296297297297297298298299299300300300300300301301301301301301302302303303303303303303303303303302302302302302301301299298297299302302303303302302301300300300300300299299299300300300300300300300300300301301301301300300300300300299300300300299299298298299299299299300300300300300300300300299298298299299299298298298298298298298298299298298298298298300299300299299300299298298297297297297297298297297297297297296296296296296295295295294294294293292292291290290290291292292293293293293292291291290290289289288287286286287287287286283285287288290290289289289288287287287287287287287286287287288288288288289287288289288288287287286287287287285287286287286286285284285284283283282281280280281282282283283284284283283282284285285285285285284284283282282283282282283282282282283283283283283284283284283284283283283284285285285285285284283283283283283283282282283283283282282282282282282282283282282282282283284285285285286286286286285284285285286285285285285286286286285285285286287287286286286287287287286286286287287286287286286286286286286286286286286286286285285285285285285284283283282281280280279278277277277277278277276276277276276276276276276277277277277277277276275276276276276276276276276276276276277277278278277277278278278279279279279279279279279279279280279280281281282282281281282280280281280279278278278277277278277277277277277277276276277277276277278278278279278279279279280280280281281281281280280281280280280280280280280280280279279279278279279278279279279279279279279279279279279279279279280280280280280280280280280281281281281281280280280280279279279278278279279278278278278278279279280280279280280280280280280281281280280280279279279279280280279278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284282283282283283282283283284286287287287288289290291292292292293293293295295296296296296295296296297297296297296297297297297297298299299300300300300300300300300301301301301302302302303303303303303303303303303303302302302302302301299299298300301302302303303302301300300300300300298299299300300300300300300300299300300301301300301301300300300300299300300299298299299298299299299299299300299299300300300299299299299299299298298298298298298298298298297298298298298299299299299299299299298297297297297297297297297297297297296297297296296296296295295294294294294293292291290290290291292293293293293293292292291290291289289288287287287287288287287285286288289290291290290290290289289289288288289288288288287288288289289289289289289289289289289288287286287288287287288288287286287285284284285285283281281281282282282283283283283284283284285285285285285285284284284283283283283282283283283283284283283284284284284284284284284284285285284285285285284284284283283283283282282283283283281281281281281281282282282282282282283283284285285286286286285285284285285286286287287287287287286286286288288287288287286286287287287286286286287286286286286287286286286286286286286286286285285285285285285285284283283281280280279278278277277277277277277275276277277277276276277277277277277277277277276276276276276276276276276277277277276277277278278278278278278278278278279279279279279279280280280280280281281282281281282282281281280280280279279279278278279278278277278278277277277277277277277277278279279278279280279280281281281281281281281280280281281280280280280280280281279279281280280279279279279279280280280280279280281281280280281280280280281281281281281281281281281281281281281280280280279279278278278278278279279278279279279280280281280280280281281281281281280280280280280280279280280280279277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283283283282283283283284284285287288289289289291291292292292292293293294295296296296297296296297298298297298297297297298298298298299299299300300300300300300300301301302302301302302302303302303303303303303304303302303303303302301301301301301301301302302303303303302301301301300301300299299300300300300300300300299299300300301301301301300300300300300300300299299298298299299299299299299299299299299299300300300300299299298298298298298298298298298298297298298299299299299299299298299298298297297297296296296296296296297296297297297296296296296295295295294294294293292292291291290292293293293293293293293292291290290289289288287288288288288288288286287289290291291291291291291290290290290290290289289289288288289289289290289289289289289289289288288288289288289289290289288287287287286287285285284282282280282281281282281282282283284284285285285285285285284284284284284283283283283283283283284284284284285284284284284284284285285285285285285285284284284284283283283283283282281282281281281281281281281281282282282282282284285285285285285285285285285285285286287287287288287287286286287288287288287287287287286286287287286286286287287287287287287286286286286286286286285285285284285285284284283283281280280279278278277277276276277277276276276277277276277277277277277276276276277277276276277276277276277277277277277277277277278278278277278277278278278278278278279279279280280280280280280281282281281282282282281281281280280280280279279279279279279279278278278278277277278277278278278279279279279279280280280281281281281281281281280280281281281281281280279279280280280280280279280280279280280280281280280281281281281281280281281281281281281281281281281281281281281281280280281280280280279280279280279279280280280280281281281281281280280280280281281281281281281281281280280280281280279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284284283282282283283284284284285286288289290291291292292292293292293292293294295296296296296297297297298298297298298298298299299299299299300300300301300300300300300300300301302302302303302302302302303303303303303303303302302301303302302302301301301301301302303303303302302301301301301301300300300300299299300300300300299300300300301301300300300299300299300300298299298298299299299299299299299299299299299300300300300299299299300300300300299298298298298299299299299298299299300299299299299298298297296296295295295296296296296297297296296296296296295295295295294294294293293292291291293293293293293293293294293291290290289289289289289289289289290289287288291291292291291291291292292291291291291291290290290289289288290290290290289290290291290289289290290289289290290291290289289288288288288286286284282282281282281281281281282282283284285286286286286286286285285285285284284284284284284284284284284284284285285284285284284285285285285285285284284284284284284284283284284282282281281281281281280280280281282282282282282282284284284284284284284285284285285285286286287287286287287286287288289289288287287287287287287287287286287286288288288288287287286286286286286286285285285284285284284285284282282281280279279278278277277277277277277276276276277277277277277277277277277277277277277278276276277277277277277277277277277277277278279278278278277278278278278278278278279279279279279278279280281282282282282281281281281281280280280280280280279279279279279279279278278278277278278277278278279279279279279280280281280280280281281280280280280281281280280280280280279279280280280280280280280280280280281281281281281281282281280281280281281281281281281282281281281281281281281281281281280281280280280280281281281281280281281281281281280281281280281281281281281281281281281281281281281281281280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291286285282283282283284284286284284285286288291292292292293293294294294293293294295296295296296297298298298297297298298299299299299299299299300300300300300300300301301300301301302302302302302302302302302302303303303303303303301299301301301299299301302300301302302303303302302302301301302302302301300300300299299300300300300300299300301301300301300300299299299299300298298298298298299299300299299299299299299299300299300300300300299300301301300301300298298299299299299299298299299299299298299299299299298297296295295295295295296296296296297296296296295295295295295294294294294293292292291292294293293294293293294293292290290289289289290290290290290290290287289292292292292292293292292292292292291291291291290290290289289291290290290291291291292291291291291291290290291290291291289289289288288288287286285284283283282281282281282282283284285286286287287287286286286286285285285285285285285285285285284284284284284284285284284284285286285285284284284284283284284284284284284283281282281282282282282281281281281282283283283282282283284283283283284284284284284285285285286286286286286287287288288289289289289290289288288287287287288288288289288288288287287287287286286286285285284284284284284284284283282281280279279278279278278277278278278278277277277277277277277277277277277277277277278278278277277277277277277277277277277277277277278278278278277277278278278278278278278279279280280280280281281281281282282281282282281281281280280280280280280280279279279279279279278279278278278278278278279279279279279279279279280280279281281280280280280280281281280280280280280279279279280280280280280280281281281281281281281281281282281281281281281281282281282282282281281281281281281281281281281281281281281281281281281281282281281281281281281281281281281281282281281281281281282282282282282281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284284285283283284284285286286286286286286288290292293293293294294294293294295295296297296296298299299298298299299299299299299299299299299300300300300300300300300301301301301302302302302303302302302302302302303303303303303302300999301300299301300301302301302303302302302302301301301301302302301301301300300301301300300300301300300300301301301301300300299299299298298298299298298298299300299299300299300300299299300300300300302301301302304304304302301300300299299300299299298298299298298298299299299299298298297296295294295295296296296296297297296296296296296295295295295294294293293293293292294293294293293294294294293291290290290290291290291291291291291290291293293293293293293293292292292292292292292292291290291290290291291291291292293293292292293292292292292292291291292292291290289290290289288287286285284283284283283283282282283284285286286287287287287287287287286286285285285285285285285285285284284284284284284285285285285285285284284283283283284284284284284284284282282282282283283283282282281281281282283283283282283283283283283283283284285285285285285285285286286286287287287288289289289288289290290290288288288288288288288289289288288288287287287286286285285285284284284284284284284282281281280279279279279279278278278278278278277278278278277277277277277277277277277277278277276276277277277277277277277277277277277277278278277277277278277278277278278278278279279280279280281281281280281282281281281281281281281280281281280281281281280280280279279279279279278278278279278278279279279280279279279279280280280280280281280281280280280280280280280280280279280280280280280280281281281281281281280281281282282281281281281281281281282282282282282282282282282282282282282282282282282282282282282282282282282282282281281281281281282281281281281281281281282282282282282282282282281282281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290286285284285285284285286287287288288287287287289290291292293293294295295294295296296297297297298298299299299299299300300299299299300300299299299300300299299299300300301301302302302303303303302302302303303303303303303303303302301300299299300999299301302302302302303303303302301301300300301300301301301301301301301301301301301301300300300300301301301300300299299298299298298299299298298299299298299300299300300299300300301300300302303303304303302305303303303301299300299300299298298298298299299299299300300299299298297296295295295296296296296296297297296296296296296296295295294294293293293293294294294294294293294294294293292291290291291291291291291291292291291292294294294294294295294293293293294293292293292292291292291291293291291292293294294294294293293293292291293291292293292291290291291290289289288287286284285284284284284283283284284286287287288288288287287287287287287286286285286286285285284284284284284284285285285285285285285285284283283283284284284284284284284283283282283283283283282282282282282282282282282283283283283283283283283284284284284285285285286286286286286287288289289289289289289289290290290289290288289288288288288288288288288288287287286286286286285285284284284284284283282281280279279279279279279279278278278278278278278277278278277277277277277277277277277277276276276276277277277277277277277277277277278278278278277277277278278278278278278278278280280280281281282281281282282280281281281281281281281280281280280281281280281281280279280280280279279278279279279279279279279280280280279280280280280280280281280280280280280280280280280280280280280280280281281281281281281281282282282282282282282282282281282282282282282283282282282282282282282281282282282282282282282283283282282282282282282282282282282282282281281281281281281282282282282282282282282282282282282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291999304999282283282283285285285286286287288289289289288289290290291291292293294295295295296296297298297297299299299299300299300300300299299299299299299299300300299299299300300300301301302302303303303302302302303303303303303303303303302301298297298298999999298301302302302302303303303302301300300300299300300301301301300300301301300301301301301300300300300301301300300299299299299299298298300298298299299299301301300301301301300301301302301302303303303303303302303303302302301300301299299299298299299299299300300300300300299299298297296295296296296296296297297297296296296296296295295295295294294294294293294294294294294294295294294294292292291291291291291291291292293293290293295295294295295295295295295295294294294294294293293292293293291293293293294294294294294294294294294292292293292293293291292292291291290290289289287285285286285285285284284284285286286287289289289288287287287287287287286286286286285285285285285285285286286286286286286285285285284283284284284284284284284284284283283283283283283283283282283282283283283283283283283283283282283283284284284284285285285286286286287287288288288289289289289289290289290290290289289290290290288288288288289288288287287287286286286286285285284284284283283282281280280279279278278278279279279279278278279278278278278278278277277277277277277277277276276276276276277277277277277277278278278278278279279278278277278278279279278278278279280279280280281282282281282282281281281281281282282281281281281280280280280280280280281281281281280280279279279279279279279279280280280280281281280280280280280280280280281281280280280280281281281280280280281281281281281282282282282282282282282282282282282282282282282282283283283283283283283282282282282282283283283283283283283283283282282283283283283282282282282282282282282281282282282282282282283282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297288287286999280281281283285286286287287288289290289290289290290290291291292293294294295296296297297297298298301300299300300301301299299300299299299299299299299299299299300300300300301301302304304304303302302302303302303303302302302301301300298295999999999999298302302303303303304303303302301300300299299299300300300301301300300300300300301301300300300299300300300300300300299299298299299300300298299299299300301301301302302301301301303304302303304303303303303302304303302302302300300300299299300299300300300300300300300300299300299298297297296296296296297297297297296296296296296295295295295294294294294294294295295295295295295295295294293292292292292292292291292293294294290292295296296297296296296296296296295294295294294293293292292292291293294293294294295295294294294294293293292293293293293293293292291291291290290289289286285285285285285285285285285286287287288289289288288288288288288287287286286286285285285285285285286286286286286286286285285284284283284284284284284284284284283283283284284283283283283284283283283283283283283283282282282283283283283284284284284285285285286286287288288288288289289289289289289289289289289289289289290290289288288288288287287287286286286286287286285285283283283283282281281280279279279279279279279279279279279279279279279279279279278278278278278278278278278276277276277277277277277278278278278279280280279279279279278278279279280279279279279279279280279281281280281282282282282281281282282282282281282281281280280280280280280280281282283282281281280280280280279279279280280280280280281281281280280280281281280281280281281280281281281281281281281281281281281282282281282282282282282282282282282282282283283283283283283283283283283283283283283283283283283283284284283283283283283283283283283283283283282282282282282282282282282282282282282283283283283283282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276276279282285285286286287287288289289290290291291291290291291291292292294295296296297298298299299300299300300300300301301300301299299300300299299298297298298300300300300301302302303304304304302302302302303303303303302301302301301301299292999999298299302302303305304304304303303301300300299299300300300301301301301300300300300300300300300300300299300300300300300299299299298299299300300300299299300301301301301302302302302302303302303304304304304304303303303303303303301301300300300300300300300300300300300300299299300300300299298298297297297297297298298297297297297297296296296295295294294294294294295295296296295295295295294294293293293293292293292292293294295294290293296297297296296297296295295295295295296295294293293293292292294294294295295294295294295294294294293294294293293294294293293292291291290290289289289287286285286285286286286286286287287287289289290288288288288288287287287286286286286286286286286286286286286286286285285285284284284283284285285285284285285284283283284284284284284284284284283283283283283282282283283283282283284284284285284285285285285286286287287288288288288288288289289289289289289289289289289289289289289289288288287288287286286286286286286286285283283283282283282281280280279279279279279279279280280280279279279279279279280279279280279279279279279279279277277277277278277277278278278279280280280280280279280279279280280280280280280280280279279279280281281282282282283282282282282283283283282281281280281280281281280280281281280281281282282281280280280280279279279280280280280280281281280280281281281281281281281281281281281281281281281282282282282282281282282283283283283283283282282283282283283283283283283282282283283283283283283284283283284284284283284284284283283283283283283283283283283283283282282282282282282282282282282282283283283283283283283283283283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999279279280283285285283284287287288289289289290291290291292290291291291292293295296296297299300299299300301300301301301303301300300300300300300300299298298298298299300300300300301302303304305305304303303302302302303303302302302302302302300298999999300301303302303304304305304304303302300301300299299299302302301301301300300299299300301300300301302300300300299300300300299299298299299301301300300299300301301301301302302302302302302303303304304304305304304304303303303303302302301301301300300300300300300300300300299300300300300299299299298298298298298299298298298298298297297297297296296296296295295295295296296296296296296295296295294293293293293293293293292294294295295295296296297297296296296296295296296296296296296296294293294295294294295295295295295295295295295295295294295295294294294294294293292292291291291290289289288287286286286286286286286286287287288289290289289289288288287287287287287287287286287287286287287287287287286286286286285284284284284285285285285285285284284284284284284284284284284284284283283283283283283283283283283284284285285285285286286286286286286287287287287287287288288288288289288288288288289289289288288289289288288288288289288287286286286285286285285284283283282282282282281280280279279280280280280280280280280280280279279280280280280280280281280280280280280280280278278278279279279279280280280281281281280280280280280280280280280280281281280280280279280280282281282282283282282282281282283283283282282281280280280281280280280280280280281282282282282281281280280279279279280280280280280281281281281280281281281281281281281281281281281281281281281281282282283283283282283283283283283283283283283283283283283283283283282283283283283284284283284284284284284284284284284284284284284284283284283284283283283282282282282283282282282282282282282283283283284283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999279281283285285284284287288289290290290291292291291291292292292293294295296297298299299299299299298298299301301300300300300301301301299299299299299299298299300300300301301302303304305305305304303303303301300301301301301301302302302299292999298301303303304304305305304304303302302302301301301301301301302301301302300300299300302302301301303302301302299300299299299299299299301301301301301301300300301302302302302302302302302302302304304305305305304304304304304303303302302302301301301301301301300300300300300299300300300300300299299299298298298299299299299299299298298298297297297297297297296296296296297296296296296296296296295294294294294294293293294294295296297297295295295296296296297296296296296296296296296296295296294294294293295295296295295295295295295294295295296296295295294294294294293293292292291291291290289290289288287287286286287287287286287288289290290289288288288287287287287287287287287287287287287287287287287286286285285284284284284285285285285286286285285285285285285285284284284284283283283283283283284283283284284285285285286286286286287287287287287287287287287288288288288288288288289288288288288288289289289289290289289288288288288288287287286286285285285285284284283283282282281281281280280280280280280280280280280281280280281281280281280280280280280280280280279279280279279279279279279279279279280280281281281281281281281280280281280281281282281281280281281280282282283283282282283282282282282283283282282282281281281280280280280280280280281281282282282281281281280280279279280280280280280281281281281281281280280281281281280281281281281281281281280281281282283283282283282283283284284283283283283283283283284283283284283283283283283283284284284284284284284284284284284284284284284284284284284284283283283283282282282282282282282282282282283283283283283283284283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288283278281283285286286287288289289290290292291291292292292293294294294297295296297298299299299299298297298300300300300300299299300300299300299299300300300301300300300300302302303304305305305305304303303303302301301302302301300301299297296999301301304304303305305305305304303302302302301300301301301301301301302302301299299299300301301302303302302302301301300299299299300299301301301300300299300300301301302302302302302302302302302303304304304305305303304304304303303303303302302301301301301301301301300299299299299299299299299299299299299298298299299299299299299299299299298298298297297297297297297296297297297297296296296296296296295294294294294294294294294296297296297295295296297296296297297297296297296297296295296297295294294294294294296296296296295295295295295295295295296295295295294294294294294293292291291292291290289289288287287286286287286286287287288290289289289288288287287287287287287287288288289288288288288287287287286286285285285284285284285285285286286286285285285285285285285284284283284284283283283284284284285285285285286286286287287287287287287288288287288289289288288288288288288288289288288288288288288288289289289289289289288288288288288287287286286285285284285283283283283281282281282281281280281281281280280281281281281281281281281282281281282281281281281280280280280280279279279280279280280280281281281282282282282282283282282282282283282282282282282281281281282283283282283283282282282282282282282282282282281281281281280280280279281280280280280282282282282282281281280279279280280280280280280281281281280281280281281281281281280281281281281281281281281282282283283283282282283283284284284284284284284284284284284283284284283283283283283284284284284284284284284284284284284284284284284284284284284284284284283283283283283282282282283283283283283283283283283283283283284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289283279282284285286286287288289290291292292292292292293293294295295296295296297297298299298298298298298299299299299299299299299300299299299299299300300300301300301301302302303304305305305306305304303303303302302301303302301297297299300298999301302304304305305305305304304303303302302302301301301301301301301302302302300301301300301300303303302302302302301301301301301301302301302302300299300300300301302303302303302302302302302302304304304304304304303303304303304303303303302301301301301301301301301300300299299299299299299299299299300299299299299299299299299299299299299299298298298298298298298297297297297297297297297297297297297296295295295295295294295296297297297297297296296296296297297297297297297297297296296295297297296296296294296297296297296296295295295295296295296296296296295294294294293294294293292292291291290289289289288288287286287287286287288289289289289289288287287286286286287287287288289289289288288288287287287286285285285284285285285285286286286286286286286286286286285285284284284284284283283283284285285285285286286286286287287287287288288288288288288288288289289289288288288288289289288289289289289288289288289289290290289289288288287287286286286285285285284284283283283282282282282282281281281281281281280280281281281281281281281282282282283282282283282282282281281281279279280280280280280281281281282282282282283283283284283283283282282283283283283283282281282282284283283283283283283283282282281281282282282282282281281281280281280280281280280281281282282282282281281280279280280280280280280280281281280280280281281280281281281281282281280280281280281281282282282282283283283284284284284284284284284285284284284284284284284283283283284283283284284284285284284284284284284284284284284284284284284284284284284284283283283283282283283283282283283283283283283283283283283284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295289283281282283285285286287289290291292293292292292292293294295295296296297297296297298298300297297297299299298298299299299299299299300300300300300300301301301301302302303303304305305305306306305305303303303303303303303302301301301302303302303303304306305305306305305304304303303302302302302302301301301301302302302301302302301301301302303302304304303302302301301302301301301302301300301300300300301302303303303303303302302302303303304304304304304302304304304304303303303303302301301301301301301300301300300299299299299299299299299299300299299299299299299299299299299299299299299298298298298298298298297297297298297298298297297297297296296296296295295295296297298297297297298298296297297296296298298298297297297296296296296297295296295295295296297297297296295295295296295296296296295296295294294294293293293293293292292291291290291290289288288287286287287287288289289289288288287286286285285286286287287288288288289288288287287287286286285285285285285285285286286286286286285286286286285285284284284284284283283283283284284284285285285286285286286287287287288288289289288288288288289288289289288288288289289289289288289289289289290289290290290290290289288287286286285285285285285284284283283283282282282282282282281281281281281281281281281281281282281282282282282283283283283284283283282282282282281280280280280281281281281282282283283283283283284283284284283283283283283283284283283282283283284283283283284283283284283282282281282282282282281281282282282282281281281281281281281282282282282281281280280280280280280280281280280280280280280280280280281281281281281281281281281281281281282282283283283283283283284284284284284284285285285285285285284284284284284284284283283284284284284284284284284284284284284284284284284284285284285285284284284283283283283283283283283283283283283284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286282279280282284285286287289289292293295293292293293295295296297297296296296297298298299298298298298298299299299299299299300300300300301300301301301302302302302303303304304305305305306306306306305304304304304304303303303303303304304304304304304306306305306306305305304304303303302302302302301302301301302302302302300301302303303304303303302302299300301300300300302301300301301300301300300301301301302303303303303304304303302303303304304304304303304304304304304304303303302302302301301300301301301301301300300300300299300300300300300300300299299299299299299299299299299299299299299299298298298298298297297297298298298299298297297297297297297296296296297297298298297297297298298297297297297297297298298298297297296296297296296295296295296296298297297296296296295295296296296296296296296295295295294294293293293293293292292291291291290290289289288287287288288288289289288288287286286285285286286286287287287288288288288288287287286286286285285285285285285285286286286286286286285285284284284284284284284284284284284283284284284284285285285286286286287287287288288288288288288287288288288288288288288288288289289289289289289289289290289290290290290289289288287286285285285285285284283283283282282282282282282281281281281281281281281281281281281281282282282282282283283284284284284284284284284283283281281281281281281282282282282283283284284284284284284284283284283284284284284284284284283283284284284284284284283284283283283282282282282282282281282282282282281281281281281281281282282282282282282281280280280280279279280280280280280280280280280280282281281281281281281281281281281282282283282284284284284284284284284284284284284284285285285285284284284284284284284284284284283284284285284284284284284284285284285284284284284284284285285284284284283283283283283283283283283283284284284284284284284284285284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285283281281282284285286288290291294295294294293294294295297296297297296295296297298298298298298297299299300300301300300301301301301301301302302302302302302302303303305305305305305305305306306306305304305304304305304304305304304305305305305305305305305306306305305304304304303303303302302302301301302302301302302302302302303304304303303302303301297300301301301302301301301301301301301302301302301302303303303304304304303303302302303304304303304304304304304304304303303303302302302302301301301301301301301301301301300301301302301301301300301300300300299300300299299299299299299299299299299299299298298298297297298298298299298297297297298297297297296296297298299298297296298298298297297297297297297299298298298297297297297297297296297296296297298298298297296296296296296296296297296296296295295295295294294294293293293292293292291291291290290289289289288288289288289289288287286285285285285285286286287287287288288289288287287286286286285285285285285285285286286286286286285285284284284284283284284284283283283283283284284284284285284285285286285286286286287287288288288288288288288288287287287287287288288288288288289289289289289290290290290290289289288288287286285285284284284283283283282282282282282282282281281281281281281281281280281281281281282282282282283284284284285285285285285285284284284282282282282282283283282283283284284284284284284284285284284284285284284284284284284284282283283284284283283283283282282282282282282282283282282282281281281280281281281280281281281281281282282282282281281280280280279279280280279280280280280281281281281281282282281281281281282281282282283283284284285284285285284284284284284284284284284285285284284284284284285285285285285284284284284285285284285285285285285285285285284284284284284285284284284284284284284283283283283283284284284284284284284284285284284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285283281281282284285287289291292294294294294293294294296297297297296296296294296297297298298297299300301301301301299300302302302302302303302302302302302302303304304304305305305305306306307307307306305305306305305306306305306304304305306305305304305305305305305305305304304304303303303303302300301301301300302301300303303303303303303304302302300300301301302301301301300300301301301302302303302303303304304304305304304303303302302303303304304304304304304304305304303303303303302302302302302301301301301301301301301301302302302303302302302301301301301301301301300301300300299299298298298298299299299298298297297298299299299298298297298298298298298298298298299299299299298298298298298298298298298298298299299298297298298298298297296297297297298298298298298297296296296296296296296296296296296295295295295294294294293293293292292292291291291290290289289289289290289289289287287286286286286286285286287287287287288289289288287287286286286285285285285285285285286286286286285285284284284284284284284284283283283283283283284284284284284284284284285285285285286286287287287288288288287287287287287287287287288288288288288288288289289289289289289289289289289288287286286285285284283283282283282281282282282282282281281281281281281281281281281281280281281281281282281282284284285285285285285285285285283283283283283283283282283282283283283284284285285285285284285285285285285284284284284284283282283283284284284284283283282283282282283283283283283283282282281281281281281281280281281281282282283282282281280280280280279279280280280280280281281281281282282282282282282282281281282282282283283284284284284285285285285285285285285285284284284284285285285285285285285285285285285286285285284284285285285285285285285285284285285285284284284285284284284284284284284283283283283283284284284284284284284284285284285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293287282280279281283284286287290290293293293294294293294296297297297297295292293294294296298298297297299300300301302302302303303303303302303303302302302303302303304304304305305305305306306307307307308307306306306308307308307306306306305305306304305305306306305305305305304304304304304303303303301301301301300300303302303302304303304304304303302302301302302302302302302302301300300301301302303303303303304303304304305305304304304303302303303303303304304304304304305304304303304303303303303303302303303302302302302302302302302303303303303303303303303303303302302303302302302302301301300299299298299299299299298298298299299299299299298298298299299299299299298299299299299300299299299298298298298298298298298298298298297298299299297298298298298298299299298298298298297296296296296297297297296296296296296295295294294294294294294293293293293292292291292291290290290291290289289288287287287287287286286286287287287288288289289289288287287286286286286285286285285285286285285285285284284284284284284284283283283283283283282282283283284284284284284284285285285285285285286287287288288287287287287287286286287287287288288288287288288288288288288288288288288288287287287286285284284283282281282282282282281281282282282281281281280280281280280280280280280280280281281281281283283284284285285285285285285284284284284284284284284284283284284284284285285285285285285285285285286286285284284284284284283282283284284284284284284283283283282281282282283283284283283283282281281281282281281281282282282283283282282281281281280280279280280280280281281281282282282282282281282282282282282282282283283284284284284284285285286286286286286286285285285284285285285285285285285285285285285285285285285285284284285285285285285285285285285285285284284284284284285284284284284284283283283283283283284284284284284285285285285285285285284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295286999274279281283284285287289291292293293294293296296296296296297296295293293294294295297297297297299299300301302302302302303303303303303303303303303303303303304304305305305305305306307307307307307307307307306306306306306306306306306305304305304304305305304305305304304305305304304304303303304301301301300303302302303303302303304303304303303302302303304303302302302301302301301302302303303303304303304304304304304305304304304303303304303303303304304304305304304303304304304304304304304303303303303303303302302302302302303303304304303303303303304303303303303303303304303303302302301300299298299299299299299299299299300299299299299298299300299299299298299299299300300300300299299299299299299298298298298299298297298298297298298298298298298300299299299299299299297297296297297297297297297296296296296295295295295295294294294294293293294293293292292292292291291291290289289288288287287287287287286287287288288288288288289289288288287286286286285286285285285285285285284284284284284284284284283283283282282282282282281281281282283284284284283284285285285284284284284285286286287287287287286286286286286286286287287287286287286287287287287287287287287287287286286286286284283282282282281281282282282281282282281281281281280281281281281281281281281281280282282282283283284284285285285286286286286285285285285285285285285284285284284284284284286286286286286286286286286286285285285284284284284283283284285285284283284284283282283282282282283283283284283283282282282282282282282282283283282283282283281281281281281281281281280281281282282282282282282282282282282282283282282282283283283283284284284285285286286286286286286285285285285285285285285285285284285285285285285285285285285285284284285285285285285285285285285285285284285284284285285284285284285284284284284284284284284284284285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300298999287999278280281283283285287290292293293294295295297297296297297297296294293293294295295295295296298299300301302302302302303302303303304304304304304304303304304305305305305306306306307307307307308308307308307307306306306306306306305305305305305305305305305304305305304304304305304304304304304303302301300300302303303303303303303303304304303302302302303303303302303303303302303302302303303303303303303303304305305305304304304303303303303303303303303303304304303303303303303303303303304303302303304303303303303302304303303303303303303303303303303303303303303303303303303303303302302302301300300300299299299299299299300299300299299299299299299299299299298297299300300300300300298299298298298297298298298298298297298298297298298298297297298299299299299298298298298297297295294297297296296296296296296295295295295295295295294294293294294293294293293293292293292291290290290290289288288288287286286286287287288288288288288289289288288287286285285285285284285284284285284284284284284283283283283283283283282282281281282281280281282283283284284284284285285285284284284284285285285287287287287286286286285286285285286286287286286286286287287287287286286286286286286286285285284284282282282281281282281282282282281281281281280281280281281281281282280280282281282282283284283284285285285286286287287287286285286285286285285285286285285285286286286286287287286286286286286285286285285285285285285284284284285285285284284285285284283283283283283283283283284284284283284283283283283282282282283283282283282281281281282282281281281281281281282281281281282282282282282282283283282283283283283283284284284285285285286286286286286286285286286286286286286285285285285285285285285285285286285285285285285285285285285285285285285285285285285285285285285285285285285285285285284284284285285285285284285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298294289283281279280282282284284286288292292293293294296296297297296295299297297296295295294295295296296297299300301301302303302303303304303303305305304304304304304304305306305305306305306306307307307308308307307307307307306306306306306306306305305306307306305305305305305305305305303304304304305304303302302302301301303303304303304304304304305304304304303303304303303303303303303303303303303303304303303303303304305305305305306305304304304303303303303303304304304304303303303303303303304303304304303303303304304303303302303303304304304304303303302303303303303303303303303303303303303302302302302302300300300299299299299300300300300299299299298299299298298299298298299300300300299299299299298297298298298298297298298298298297297296296297296296296297299299298298298297298297297295295295297296296295294294294295295295295295295295294294294294294294294295295294294293293291291291291290289289288288287287287287288288289289289289289289289289288288287286285285284284284284284284284284284284284284284284283283283282282282281281281280280280281282282283283284284284284283283283283282283284284285286286286285285285285285285285286285286286286286286286286286286286285286286286286285285284284284283282281281281281282282282282281281281281280280280280281281281281280281281282282282283284284285286286286286287287287287287286286286286285285285285285285286287286287287287287287286286286286286286286286285285285285285284284285285285284285284285285284283283283283283283283284284284283284283283283283283282281283282282282282282281281281281281281282281281283282281282282282282282282282282283283283283283283283284284284285285286286286286286286286286286286286286287286287286286286286286286286286286286286285286286285286286285286286285285285285285285285285285285285285285285285285285285285284284284284284284285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300999999282283278279280283285286287287288289292292293294295298298301296297999293288295296295295296296296297298299300301302302303303303303304304304305305305305305304305305305305305305305304305306306307308307308307307307307307307307306306306306306306307306306306306306305305305305305305306305304304304304304303302303303302302302302304304304304304305305304304304303304304304303303303303304303303303303303303303303303304304305305305305305305304304303303303303303303303303304303303303303303303303304304304304303303303303304303303303304304304304304304303303303303303303303303303303303303303302302302302302302302300300301300300299300300301301300299299299299300300300300300299300300301300299299299299299298298298298298299298297298298298297296296297296297297298298299299299299298298298297296297297294296296296296294294293293295295295295295295295294294295295294294295295295295294293293291291290290289288288288287288288288288288289289289289290289289289289288287286285285284284284284284284284284284284284284284284283283283283282282282281281281280280281280281281282283283282282283282283282283282283283284285285285285285284284284285285285285285285286285285286286286286285285286286286286285285284285284284282282283282282282282282282282281281281281281280281281281281281280281282282282283283284284285285286286286285286286286286286286285285285285285285285286286286286286286287287286286286286286286285286285285286285285284284285285285285284285285285284284285284283283283283284284284283284284284283283282283283281283283283282282282281282281282281281282281282282282282282282283282282282282282283283283283283284284284284285285286286287287286287287287287287287287287287287287287286286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285285285285285285284285284284285285284284285285285285285285285285286285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282281281280280280282284286288288288289290291291294294294296299300295999999999999999999290293294295296297297299300301301302302302303303304304304305305305305305305305305305305305306305304306306306306307307306307306306306305306306306306306305306307307307307306306306305305305305305305305306306305305305305304304304303303303303304304304305305305305305305305303304304304304304303303304304303304304303303303303302303303304305305305305305305305304304304303303303303303303303303303303304304304304304304304304304303304303303304305303303304303304304304303304303303303303303303303303303303303303303302302302302302302302301300300300300300301301301301300300300299300300300301301300300300300300299299299299299298299298299299299298298298297297296296297296297297297298299299299299299298298298297297297295295296296296296295294294294295295295295295295294294294295294295294294295295295294292292292290291290289289288289289289289289289289289289289290290290289289288289288287286285284284284285285285285285285285284284284282282282282282282282282282282281281281281281281281282283283283283282282283282281282282283284284285286285285285285285285286285285286285285286286286286286287286286286286286285286286286285285284284282283281282282281281280281281281281281281281281281280281280280281282282282282283284283283284284285284284284286285285285285285284285284284285285285285286285285285286287286286286286286286286286286286286285285284284285285285285285285285285284284284284284284284284283283283284284284285284283283284283282283282283283283283283283282282282283282282282282282282283283283282283283283283283283283283284284284285285285285286286287287287286286287287287287286286286286286286286286286286286286286286286286286286286286286286286286285286286286285286285285285285285285286285285285285285286285285285285285285285285284284284285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286277279280281281283286288290289289290289291291292293295296296297999999999999999999999999288291294295297298299299300301301302302302303303304304305305306305305305305306306306305306305305305304304306306306305305305305306304305305305305305305306306307307306306306306305305305305305305305306306305305306305305305304303303303303303304304304304305306306306305305304304304305305305304304305305304304304303303303303302303304305304304305305305305305305305304304303303303303303303303304304304304304304304304303304304304304305305305305304304304304304304304303303304303303303303303304304304304304303303302302303302302302302301300301301301300301302302301301301301300300301301301301301301301301300299300299298299298299299299300299299299299298297296297297298297297298299299299299299300298298298297297298297296296296296297294294294293295295295295296295296295295295295295295295295295294294293292292292291290290290290290290290289290290289289290289290290290289289288288288288286285285284285285285285285285285285284283282282282282282282282282282282282282282282282282283283283283283283283283283283283283282282283283284284285285285285285285285285285285285285285285285285285285286286286285286286286286286285285284283283283283281282281281281281281281281281281281280281281281280280280281282282282283283283283283284284283284283285285285285284285284284284284284284284284284285284285286286286286286286286286286286286286286286285285284285285286286285285286285285285285285285285285285285284284283285285285285285284284284284283283283283283283283283283283283283283282282282282283283283283283283283283283283284283283284284284284284284285285286287287287287286287287287287287287286287287287287287287286286286286286286286286286286286286286286286286286286286286286286285286286285286285285285285285285285285285285284285285285285285284284285285284285285284285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287280283284285287288290290290290289290291291292294293292296297999999999999999999999999999289291294296297298299300299301301302303303303303304305306306305305305305305305306306305306306305304302304305305305304305305305305305304304304304304305306306306306305305305305304304304304304305305305305306304306306305303304303304304305304304304305305305306306306305305305305305305305306306305305304304304304304303303303303303305305304304305305305304305305305304304304304303303303303304304303304304304304304303304304304304305305305305305305304304303303304304304303303303303303303303304304304304304303303303302302303303303302301301302301301301302302302302301301301301301301301301301301301301301301300300299299299299299299297298298297298298298297297297298298299299298300300299300300300298298299298298297297296296297298297295294294294296295295296296296295295295294295295295295295295294294293292291291291290290290291290290290289289290289289289289289289289288289288288288287286285285284284285285285285285285284284283282282282282282282282282282282282282283283283283283283283283283284283283283283283283283283283283284284285285285285285285284285285285285284284285285285285286286286286286286286286286286286285284283284283283282281281281281281281281282282281281281281281281281281281282282282283283283283284284283284284284284285284285285285284284285285285284284284285285284285286286286286286286287287286286286286286287287286285284285286286285285285286286285285285285285285285285285285284284285285285285285285285284284284284283283283283283283283283283283283282282282282283283283283283283283283284284284284284284284284285285285285286287287287287287287287287287287287287287287287288287287287287286287286286286286286286286286286286286286286286286286286286286285286286285285286285285285285285285285285285285285285285285284285284284285284284284284284284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293281282284286287289290291290291291291290290291291291294293291293297297999999999999999999999999292291293295297297298300301301302303303303303303305305306305305305305305305305305306305305305306306303302303305304305305306306305305305304303304305306304305305304304305304305304304304304305304304305305305305306306305306304304304305305305304305305305305306306306305306306305305306305305306306305304304305304305305305304304304304306304304305304304305304305305305305305304304303303303303303303303303303303304303304304304304305305305305305305305304304303304303303304303303304303303303303303303304304304303303303302302302303302303302302302302302302302302303302302301301301301301301301301300300301301300300300300299299298298298297297297297298298298298298298299299299300299299300300300300300299299299299298298297297296298298298297295294295296296296296296296295295295295296295293295294294293293292291291291291289289290290291289289290290289289289288289289289289288288288287288287286285285284284286285286286285285284284282282282282282283282283282283282282283283284283283283283285285285285284284283283284283283283283284284285285285287286286285284285284284285285284285285285286286287287286286286285286286286285285284284283283284282282283282282282282282283282282282282282282281281282282282283283284284284284284284284284284284284284284284285285284285285285284284284285285285285285286286286286286286286286285286286286286286286285284284284285286285285285285285286285285285285285285285285285285285285285285285284285285285285284284284283283284284284283283283283283283283283283284284284284284284284284284284284284284284284285285286285285286287287287287286286287287287287287287287287287287287287287286287286286286286286286286286286286286286287286286286286286286286286286285285286286286286286285285285285285285285285285285285285284284284284285284284284284284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281283286288289290291291291292291291290291291291292291290291298299999999999999999999999999999292294294296297298299300301301302302303304304304304305305304303305305305305305305305303302305306306303999999303305305306306306306305305304303302303303305305304304305304304304304304304304304304305305305306305305305305307306306305305305305305306306306306306307306306306306306305306305306306306305305305304305305305305305305304305306305304305304305305304305305305304305304304304304304304303303303303303303303303304304304305305305305305305305305304303303304303304305305303304303303303303303303303303303304303303303302302302303303302302302302302302303303303302302302302301301301301301300298299301300300300299299299299298298298297297298297297298297297298299299300300300300300301299300300300300300299299299299298297297297296296296296296295296296296296297296296296296295295295295294294293292293293292291290290289289290291291290289289290290289289289289289289288288288288289288287286286285286286286286286286285285284283283283283283283283283283283283283283283283284284285285284285285285285285285284284284284284284284284284285285285286286286286286286285285284284285284285285286287286286286286286285285285284285285284283283282283283282283283283283283282282282282282282282282282282282282282282283283284284284284284284284284284283284284284284284284284284284284285284285285285285285285286286286286286286286286286286286286286286285285284285285286286286286286286286286285285285284285285285285285286285286286285285285285286285285284284284283284284284283283283284283283284284284284285285285285285285285285285285285285285285285285285285286286287287287286286287287287287287287287287287287287287287287287287287287286286286286286286286286286287286286286286287286286286286286286286286286286286286286286286286286286285285285285285285285285285284284284284284284284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283286288290291291292292292291291291291291292292292289290294300999999999999999999999999999999999294296296297299300301301302302302303303303304304305304304305305305305304304305305303302305306305305304304304305305306306306306305305305305304304302303303305306306306304304305304305303305304305305305305304305305306306306306305306306306306306306306307307307307307307307307307306307307307306306306306306306306306306306305306306305306306305306305305305306305305305304305305305305304304304303304303304304304303304304304304304305305305306305305305304303303304304306304303304303303303303303303303304303303303303303304304303303303303303302302303303303303304303303302302302302301302301301299300300300301300299299299299298298298298298298298298297298298299299300300300300301301301300300301301300300299299299299299299297298298298297297297295296296296297297296296296295296296295294294294293293293293292291290289289290291291291291290290290291291290290290289289288288288289289288287288287287287286286286287286286285284284284283283284283284284284284284284284284284286285286286286286286286286285285285285284285284285284285285285285285286286286287286285285285285285285285285285286286286286286286285284284284283284284284283282283282283282283283284283283283283283283283282283281281282282282282282283284284284283284284285284284284284284284284284284284285285285285285285285285285285285284285286286286286286286286286287286286286286285285284285286286286286286286286286286285285285284284285285285284285285285286286285285285286285285284285284284283284283283284284284284284284285285285285285285285285285285285285285286285286285285285286286286287287287286286286286287287288288288287287287287287287287287287287287287286286286286286286287287286287287287287287287287287286286286286286286287287286287287287286286286285286285285285286285285284284284284285285284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290300294290285283286288290291291292294294291291292291292291292292290290294296999999999999999999999999999999999999295297298299299300301302302303301302302302303303304305304304305306306303304306305305305306305305305306305306305306306306305305305305305305304303303301302305305306306304304304304305305305305306307305305305305306306306306305306306306306306306306306306307307307307307307307308307307307307306306306306306306307307306307307307306305306306306306306305305306305305305305305305305305304304304304303303304304303303303303304304304304305304305305305305305303303304303304303303304305303304304304303303304303304304303303304304304304304304304303303303304304304303304303303302302302302302302301300300300301300299298298299298298297298298298298298297298298298300300300300300300301301301301300300301299300299299299299298298298297297297297297297296296296296296296296296296296295295294294293293293294294292292291290290290290292291291290290290291291291291291290290290289289289289288288288288287288287286286286286286286285285285285285284285284285284285284284284284284284284285285286286286287287285286286285286286286286286285285285285285286286286287287286285285285285285284285284285286286286287287286286286286285285284285285284284284283284283284284284284284284284284283284283283284284283282282283283285284284284284284284284284284284285285285285285285285285285285285283285284284285285284285285286286286285286285286286285286286286286286284285285286286287286286286286286285286285285284285285285285285285285285285286285285285286286285285285285285284284284284284284285285284285285285285285285286286285285285285285285286286286286286286286287287287287287287287287287288288288288288288288288287288287287287287287287287287287286286287286287287287287287287287287286287287286286286286286287287286287287287287286286286285285285285285285285285284284284284284284284285284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290296299290285283285288289291292293294295292290291290290289289290290291294298999999999999999999999999999999999999295298298299299301301301302303303300301302302303303305304302303305304305304305307306306306305305306306306307306306306306306306305305305305304304304303304304304304305306304305304304306305305306306306306305305306306307306306306306306306306306307306306306307307308308308307307308307307307308307307306306307307307308307307307306306306306306306306306305305305305304304305305305305305305304304303303303304303303303303304304304304304304304304304304304304304303303303304303304303304304304304304304304305304304304305304304304304304304304304304304303304304304303303303303302303302303302302301301300300300300298298298298298297297298298298298298298298298299300300300301301301301301301301300300299300301299300299298298297298297297297296296297297296295296296295296296295295294295294294293293293293293292291291291291290291292292292291291290291291291291291290291290290290289289289288288287287287287287286286285286286285285285286286285284285285285285284285284284285284285285286287286287287287286286286286286286285286286286286286286286286286286287288287286285285286285285285286285285286287287287287286287286286286285285285285284284284284284282284283284284284284284284284284283284284282282283283282283284283283284284284284285286285284284284285285285285285285285285284285284284284284284285285285285285285286286286286286286286286287286286285285286286286286286286286286286286286285285285285285285285285286285285286286286285285285286285285285284284284284284284285285285285285286286286286286286286286286286286286286286286286286287287287288287287287286287287287287288288288288288288288288287288287287287287287287286286286286286287286286286287287286287286287286286286286286286286286286287287287286286286286286285285286285285285285285285285284285284284284284284283284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289293293291289286286288290291293294295295290287288288289288289290292293297299999999999999999999999999999999999999294298298299300301301302302302303303302302302302303303301304999302303999999307307307307307306306307307306306306306306306306306306306306305305305305304304304304305304305305305304305305306306306305305305305305306307307306306306307306307307307307307307306307308308308308308308307307307308308308309308308308308308308307307307306306306306306306306306305305305305305305305305305304305304304304304303303304304303304304304304304304304303303303304304304304304304303303303303304304303305304304304304304304305304305305305305305305304304304304304303303304304304303303304303303303302302302302301300300300300300299298298298297297298298299299299299299298299299300301301302301301302302301301301300300300300299299299299298298298298297297296296297297297296296296296296295295295295294294294294293293292293292292292292291292291292292293292292292291291291291290290290291290290289289288288287287287288288288287287286286286286286286286286286286286286286285286286285285285284285285286286285287286286286287287286286287286286286286286286286286286286286286287287286286285286285285285285285285286286287286287286286287286286284285285285284285284284284283283285284285284284284283283283283284283282282282283283284284284284284284285284284285284285284285284285284284285285285284284284284284284284284284285285286286287287286286286286286286286287286286286285286286286286286286286286287286287286286285286285285285285286286286286286286286286285285285286286285285285285285284285285285285285286287287287287287287286286286286286286286286287287287287287287287286286286287286287287287287287288288288288287287287287287287287287286286286286286286286286286286286287287287287287287286286286286286286286286286286286286286286286286286286285285285285284284285284284284284284284284283284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289292290286286287288290292293295295293289286285287287288289291292296300999999999999999999999999999999999999293295297298299300301301301301302302302302302302303303303302302302301305306307307307307307307307307306307306306306306307307306306306306305305305305304304304305305304304305304304304305306306305304305305305305306306307306306306306306306306307307307307307307307308309309309308308307308307308308308308308309309308308307307307307306306306306306306306305305305305306306306306306305305305305304304304304303303304304304304303303303304304303303303304304304303303303303303302302304303304303303303304304305304305305305304305305305305305304304303303304303304304304303304304303303302303303302301300301301299300300299299298298298298299299299299299299299299300299300300301302303302302303303302301300300300298299300299298298298298298297297297297297297297296296296296296296295295295295294293293292293292292292292292292292292292292292292292292291291290290290290290290290289289289288288287287287287287287288288287286286286286286286285286286285285286286286285285285285285286286287287287286287286287287286286287287284285286286286286286286286286286285286287287287286285286285284285284285284285285287286286287287287287287286286285285285286285285284284283284284285284284284284284284283283283282282282282283283284283283284284284284284285285284284284285285284283285284285285285285284284284284284285285286286287288287288287287287287287287287287286286286286286287286286287287287287286286286286286286286286286286286286286287286286286286286285286286286285285285285284284285285285285285286287287287287287287287287287287287287287287287287287287287287287286286286287287287287287287287288287287287287287287287286286286286286286286286286286286286286286287287287286286286286286286286286286286286286286286287287287287286286286286286286286286285285285285285285284284284284284285285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286288288286285284286290291293294296294292291286285287288289291292291299301999999999999999999999999999999999999295296297298298300301301301301302302301301301302303303304304303304305306308308307307308308307307306307307307307307307307307307306306306306305305305305305306306305305305305304304303305305305304304305306306306306306307306306306306306306306306307307307307308308308309309309308308308308308308308308308308308308308308307307307306306306306306306305306306307307307307307306306306306305305305304304304303303303303303303303303303302303303303303303303303304303303303302303303303303303303304305304303304304304305304304303305305305305305305304303303303303303304304304303304303303303303302301301301301301300300300299299298299298298299298298299299300300300301301301300300301303302302303303302301300299299300299300300298298298297297297297297297297297297296296296296295296296295295295294293294292292292292291292293293293292292291292292292291291290290290290289290289290289289288288288287287287287287287287288288287287287286286286286286286286286287286286286286286286286287286286287287287286286286287286287286287286287287287287287287287286286286285286286287287286285285285285285285285285285286285285285287287287286287287286286286286286286286285285284284285284284284284284284284282282282282282282283283284284284284284284285285285285285285285285285285284285284284286287286286286285285286286286287287287287287287287287287287287287287287288287287287286287287287287287287287287285285286286286286286286286286286286286286286286286286286285285285284285285284285285285285285285286286287287287287287287287287287287287287287287288288287287286286286286286286286286286286286286287286287287287286286287287286286286286286286285286286287286286287287287287287287287287287287287287287286287287286286287287287287287287287287287287287287286286285285285285285285285285285285285285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287286286285286285288291293296297296293292291288287291291292292293295296999999999999999999999999999999999999293296296297298299300301301302302302302302301302303303305305304302304306307308308308308308308308307307307307307307308308308309308308307307306306306306306306306306305305305304304303304303305304305305306306306306306306306306306306306306305306306306307307308308308308308309309308308308308308308308308308308307307307307306306306306306306306306306306306306306307307307307307306307306305305304304304304304304303303303303303303303303303303303303303303303303303303303303303303303303303303304304303303304304304304305304304304305305305305304304303303303303303304304304304303303303303303302302301301301301301300300299299299299299299299299298298299300300300301301301301300301303302303302303302301300300299300300300300299299299297297296297297297297297297297296296296296296295295295295294294293293292292292292292293293293292292292292292292292291290290290289289289290290289289288288288287287288287287287287288288288288287287287287287287287287287287286287286286287286286286287286287286287287287287287287286288288288288288288288288288288287287286286286286287287286285286285285285286286285286286286285286286287287286287287287287286286286286286286286286286286286285285285285284284282282282282283283283284284284284284284284284284285284285285285285285285284285285287287286286286286286286286287287288287287287287287287288287287287287287287287287287287287287287287287287286287287286286286286286286286286286286286286287287287287286286286285285284284284285285285285285285285285285286286286287287287287287287287287287287287287287287286286286286286286286286287287287287287287287287287287287287287287287286287287286287286286287287287287287287287287287287288288287287288288288287287287287287287287287287287287287287287287287287287287286286286286286286285285285285285285285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296284287287285284286287289292294295296297295293292292289288292295294294297300999999999999999999999999999999999999999293296296297298299300301302302303303302302302302303304304304305305305306307308308308308308308308308308308307308308308308308309308308308307307307307306306307306306306306306306305304304304305304305306306306306307307306306306307307306305306306306306307307308309308309308309309309309309308308308309308308308307307307306307306306306306306305305306307306306306306306307306306306306306306305306305304304304305303303303303303303302302302303303303303303303304303303303304303304303303303304304304303304303305305305305304304304305306306305305304304303303302303303303303303302303303302302301301301301301300300300300299299299299300299299299298299299299300300301301301301301301302303303302302302301301300299299300300300301300299298297298298298297297297297297296296296296295295295295295295294293294292292292293293293293293292293292292292292292291291291290290290290290290291290289289288288287287288287287288288288288288288288288288288287288288287287287287286287287287287287287288286286287288287287288287288289290290289290289289289289288288287287287287287288288287286285286286285284285285285285285285285286287286287287287287286286285286286286286286285286285285285285286285285285284282282283283283283283284284284284285284285284284285285285285285285285285286286286286285286286286287286286286287287287287288287288287287287287287287287288288287287287287288287287286286286287286286286286286286286286286286287286286286286286286285286286285285284285285285285285285285285286286286287287287287287287287288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288287288288287288287287287288287287287287287287287287287287287287286286287286286286287286286286285285285285285286285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295276281284285283282284286290293295295296298299295292290290289288291295297295300298999999999999999999999999999999999999999293296297296298299300301301302303303302302302302303303304305305305305306307309308308308308308309308308308308308309309308308308308309308308307308307307306306307307307307307306306304305305304307305305308306306307307307306306307306306305305305306306306307308308309309308308308308309308308308308309309308308308307307307306306306306306305305306306306306305306306306306306306306305306306306306306305304304304303303303302302302302302302302303303303303303303303303303303304304303303303304304304304304304305305305305305304304305306305305305304303302302302303303303303302302302303302301302301300301301300300300300299300300300300300300299298298298299299300301301300301301301302302303303302302302300300300299300300300301300299298300300299298298298297298297297296296295295295295295295295295294294293293293293294294294293293293293293293293292291291291290290290290290290290289289288288287287287287287287287287288288288287287287287286287287286286286286285286287286288288287287287287287287288287287288288289289290290289290290290289289288289288287286286287288287287285285286286285285284284284285285285285285286287287286287287286286287286286286286286286286285285286285285285283284285283283283283283283283284284284285285285284284284285285285285286286285285285286286285286284285286286286286286286287287287287287287287287286286287287287287287286287287287287287287287286286286287287286286287287286287287287287286287287286286287286286286286286285285285285286286285285286287287287288287287288287288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287288288287287287287287287287287287287287287287287287287288288288288288288288288288288288287287287287287288287287287287288287287287287287287287287287286286286286286286286285286285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290279274278280280280282286290293296296296299300299296291288287285283290296297293299999999999999999999999999999999999999999999293295295296297299300300301303303302302301302302304304304304304304304306306307308308308308308308309308308308308308308309309309309309308307308308308308307308308308307307306306306306306306305306305307306306306306307307307306306306305305305305306306306306307308308308308308308308308308308308308308308308308307307307307306306306306306306306306306305305304305306305305306306305306306306305306305305304304303303303302302301301301301301302302303303303302303303303303303303303303303303304304303304303303304304304304304304304304304304304304304304302301301301302302302301301301301302301301301301300300299299300300299299300299299300299299298298298299299300301300300300301301302302302302302302301301300300299299299299301300299299299300299298298298298297297297296296295296296295294294294294294294294293293294294294294294293293293293293293292292291291291291290290290290290289288288287287286286286286286286286286286286286286286286286286286286286286286285286287286287287287287288287287288287288288288290290290289290290289289290289289289289288287287287288288288287287285285285285286286285285284285284284284286286286286286286286286287286286285285286287287286286285285285285284282282283283283283283283283284283284284284284284284284284284284285285285285285285286286286285286286286287287286287287287287287287288288287287287287287288287287287287287287288288287287287287287288287288286287287288288287288287287287287286287287286286286286286286286286286286286287286286286286287287287287288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288288288288288288288288288288287287287287287288288288288287287288287287287287287287287287286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286287275279279278278280285289293295298298298300300300297290286282283280289297298293297999999999999999999999999999999999999999999294296298298298299300301301304303302301302302302303303303304305305305305306306307307308307308308308309308309309308308308308308309308308307308308308308307308308307306306306306306307307306306305305306306306306307307307307307306306306305305305305305306306307307308308308308308308309308308308308307307307307307307307307306306305305305305305306305305304303304303304306306306306305306306305304304305304303303303303302301301301301301301302302302303303303303302303303304303303303303303303303304304303303304304304304303303303304304304304304303302302302301301301301301300300301301302301301301300300299299299298298300300299299299299299298298298299299299300300300301300300300301301302302302302302301301299299300299299300300300300300300299299299298298298298297297297296296296295295294295295294294293293293293295294294294294293293293293292292292291291291291290290289289289288287287287286286285285285285285286286285285285285285286286286286286286287286286286285286287287287287288288287287288288287288289290289288289289289289290290290289289288287287286288287288287287286285285286286286285285284283283283284284285286286286286286286284286286286286286286287287287286285286285283283282283284284284284284284284284285285285285285285285285286286286286286286286286286285285285286287287287287287286287287288288288288288288288288288288288288288288288288288288287287287287288288288288288288287287288288288288287287287287287286287286286286286286286286286286286286287286287287287287288288287288288288288288288288287287287287287287287287287287287287287287288287287287287287287287287287287287287288287287287287287288287287287287287287288288288288288288288288288288288288288288288288289288288288288287287287287287287287287287287287287287287287287287287287286287287287287287286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293285286285281281283282281280280285289292294296298298298300300298295288287281292284288298299295999999999999999999999999999999999999999999293294296298299299300300301302304303303302303303303304304304304305305305306306306307308307307308308309309309310310310309309309309309309308308308308308308307308308307307306306306306307307306307305307308306307307307307307307307306306306305305305305305306306307307307307307308308308308308307307307307306307306307306306306305305305304304304305305305304303303302303304304305305305304306305305304304304304303303303304302301300300301301301302302302302302302302302302303303303303303303303303304303304302304304304304303303303304304303303303303303303303302301300300300300299300300301301302302301300300299299298298298299298299299299299299299298298298298298300300300300300300300301301301301302302301300300299299299299299299299300300300300299298298298298297297297297296296296295295295294295294294293293292293293293294293293293293293292292292292291290290291290290289288288288288288286286286285285285285285285286285285284285285285285286286286285285287287286286286286287287287287287287288287287287287289289289288289289289289289290290290289289287288288287289289289289288287286286287287287286285285284284284284286286286287287287287287287286286286286286287287285287287286286286284284283284284285285285284285285285285285285285286286286286286286286286286286286286286285285286286287287287287287287287287288288288288288288288288288288288288288288288288288288288287288288288288288288288288288288288288288288287287287286286287287287286287286286287286286286286286287287287287287288288288287288288288288288288288288288287287287287287287287287287287287287288287288288287287287287287287287287287287287287287287287288287287287287287288288287288287287288288288288288288288288288288288288288288288287287287287287287287288288288288288288288287287287287287287287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288286284280281282284285283283284287290292293296298298299298301299296290285285282283287293298299304299999999999999999999999999999999999999999294295297299300300300301301303304304303303304303304304304305305304305305305306307306307308308308308309310310310311311310309309309309309309308308308308308308308308308308307308307307306307307307307305306307307307307307307307307307306306306306305305306306307307307307308308308308308308308307307307307307306306306306306306305305304304304305305305305304304304303303302304304304305304304304305305305305304304303303303302301300300301301302302302303302302302301302302302303303303303303303303304304304303303303304304304304304304304304304304304303303303302302301301300300300300300301300302302302301300298298299298298299298299299299299299300299299299299300300300300300300301301301301302302302301301301300300300299299299299300300301301301300299299298298298297297297297295296295295295295295294294294293293293293293294294295292293293293293293293292292291292291290291289289289289289288287286286286286286286286286286285286286286285285286286286285286287286286286287287287287287288288288288288288288288290290289289289289289289289289290289288288288288288289288289289289288287287286286287287286285284285284284285286286287286287287287286287286286287287286287287286287286286286286286285284284284285285285285286285285285286286287287287286286287286287286286285286286285285285286287288287287287287287287288288288288288288288288288288288288288288288288288288288287288288288288288288288288287288288288288288287287287287287287287287287287287287287287286287287287287287287287287288288288288288287288288288288288287288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288288287288288288288288288288288288288288288288288288288288289289288288288287287287287287287287287288288288288288288287288288288288287287288287288287288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287292287284281280282284287287286287289291293293295298298298298298300299295289286286285287289295298300302308999999999999999999999999999999999999999294297299300300301301302303304304304304304304304305305304305304304304305306306306306307308308309309309310310310310310311309309310310309309309308308308308308308308308308308307307307306307307304307308306307308308308308308308307307307306306306306306306307307307308307308308308308308308308307307307307307306306306306306305305305305304304305305304305304304303303303303302303303303304304304305304305304305304303303303302302301301301302302303303303302302302301301302303303303303303303303303304304304303302303303303304304304304304304304304304304304303302302301301301300300300301301301301302301300300299299299299299299299300299299299300299300300300300300300300301301300300301301301301302303302301301301301300300300299299301301301301301300300299299298297297297296296296295296296296296296295295295295294293294293294295295294294293293293293293292292291291291289290290290291290290290289288287287287287287286286286286286286286286285285287287287287287287287287286286287287287288287288286288288288289290290289288289288288289289289290290289288288288288289288288288288287287287287286287287285286285285285285285286287286285287287287287287287287286286287285287286286287285286285286286285284284285286285286286286286286286286286287287287287287287286286286286285285286286286287287288288288287287288288288288288288288288288289289289289288288288288288289288288289288288288288288288288288288289288288288288288287287287287287287287287287287287287287286287287287287287287287288288288288288288288287288288288287287287287287287287287287287287287287287287287287287287287288287287287287287287287288287288288287287287288288288288288288288288288287287288288288288288288289288288288288289289288288288288287288288288287288288288288288288288288287288288288287288288288288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284285285286286288290291290291293294294295297299299298298298296293292288288290289293293297299300300999999999999999999999999999999999999999293297299300301300301303302303303304304303304304305305305305304304304305305305306306307307308308309310309310310311311311311310311310310309309309308308309309309309308308308308308308308306307307306306307307308308308308308308308308307307307306306306306306306307307307307308308308308308308308308307307306306306306306305305305305305305304304304304305304304304303303303303303303303303304304304304305305304305304304303303302302301301301301302303302302302302302302301302302302303303303303303303303303303303303304305303303304304304304304304304304304304303302301301300301300301301300301301301302302301300301300299299299299300300299299299299299299300301301301300300300301301301301301301302302302302302301301301301301300300300301301301301301300300300300299298297297297297297296297296296296297296295296295294294294294294295295295293292293293293293292291292291291290291290291291291290290290289289287288288287286286286286286285286286286286286287287287287287287287287286287288287288288287288288288288290290289289289289289288289291288289290289289289288288288289288288289288287287287287287286286286285285285284285287287287287287287287287285287288287287287287287286287286286286286286286286284285286286287287286287286286287287286287287288287287287287286286286285285286285286287288288288288288288288287288288288288288288288288289288288288288288288288289288288289288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287288287288288288288288288288287288288287287287287287287288288287287287287287287287287287287287287287287288288287287287287287288288288288287287288288288288288288288288287288287287287288288288288288288288288289288289288288288287287287287288287287288288287287287287288287288288288288288287288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285283284286287289290291293293293294295296296297298299299298298296294290287286289293296299299299301301300999999999999999999999999999999999999999295300300300302300301302302303304303304304304305305305305305304304304305305306306306307307308308309309309310310310311311311311310310309309309308308308308309309309309308308308308308307308307307307305306307307308308308308308308308307307307307306306306306306307307308308308308308308308308308307306306305305305305306305305304304304304304304303303303303303302301302303303303303303303304303304305305304305304304304303302302302302301302302302302302302302301302301301302302302302302303303302303302303303303303304304303304304304304303303303304304303304304303301301301301301301302302302302302302302302301301301301299299300300299300299300299300300301301300300299300300301302300301301302302302302302302302302301301301300300300300300301301301300301300300300299297297298298299299298298297297296296295296295295295296296295295295295294293293293293293293291293292292291291292291291291291289290289289288288288287287286286286286286286286286286287287287287286286286286286286286287287288289287287287288289290289288288288290291290290290290289291291290290290290289289289287287286287288287287287287287286287285285286287288288287288288287287287286287287287287287287288287287287286286287286286286285285286286287287287287287286287287287287287287288287287286286286285286285286287287287288288288288288288288288288288288288288288288288288289288288288288288288288288289289289288288289288288288288288288288289288289288287288287287287287288287287287287287287287287287287288288288288288288288288288288288288288288288287288288288288288288288287287288288287288288287288288287288288288288288288288288288288288288288287288288288288288288288287287288288288288287287288288288288288288288289288288288288287287287287287287287287288288287288288288287287287287287287287288287287288288287288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284285286288289290291293295296295296297297297298299299299296294293292288286287290296300300300301302302301999999999999999999999999999999999999295299301300300301301302302302303303303304304305306304304305305305305305305306305306306307307308308309309310310310310311311311310310309309309309308308308307308308308309308308308308308307306306305307306306307308308308308307308308308307308307307306306306306306307308308308308308308308308308308307306306305305306306305304304305304304304303303303303303303302303302302303304304304303304304303305305305304304304304304303303303302302301301302302302302302302302302301301301302302302301302303302303303303303303303303303304303304304304303303303304304304304304303302302301302302302302302303302302303302302301301301301302302300300300299299300300299300300301301301300300301301301301302302302302302302302301302302302301301300301301301301301302302300301299300300299298298299299299299299298298298297296296296296296296296295295295295296296293293294295294293292293292292292292292292292291291290290289289289288288287287287287287286286287286286287287287286287286287286286286287287287288289288289287288289290291289289289289289290290290289288289291291290290289289288289288288290286287288287287287288287287284285286287288288287288287288286287287286286287287285285288288288287287286286286286285286285286286286287287287287288287288288287286287287288287287287287287287285285287288287288288288289288288288288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289289289288288288287287287287287287287287287287288287287288288288288288289289289288289288289288288288288288287288288288288288288288287287287287287287287287287287287287287288288288287288288288288288287287287288288288288288288288288288288288288288288288288288288288288288288289288288288287287288287287287287287288288288288287288287287287287287287288288287287288288288288288288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285999283283287288290290290291293294296297297297297298297298299299298292290289289286286291295300301302302303303303304305999999999999999999999999999999999300301300299301301301302302303303304304304305305305304305306306306305306305306306306306307306308308309309309309310310311310310310309309309308308308307307307308308308308308308309309308307307307307308308307307308308308308307308308308307307307307307307306306307307308308308308308308308308308308307306306305305305305305304304304304304304304303303303303303303304304304303303304304304305305304305305305305305304304304303303303302301301301301302302302302302302302302302302302302303303301301303303303304303303303303303303303304304304303303303303305304304303302301302302301302302302302302302302303302301301301301301302301301300300299299299300300300300300301301301301301301301301301302301302302303302302302302302302302301302301301301301302302302301301300299300300300300299299300300299299298298297297297297297297296296295295295295295294293294293293293294293293292292292292292292291291291290289289288288288288288287287287287286286286287287287287287286287287286286287287287287288288289288287288288289289290289290290290289289290289289290290290290290288290289289286288290289288288288287288287286286286286287287288287287287287287287287288287287287287285285287286287287287287287286286285285285285286286287288288287288288288288288287288288288287286286287287287287287286287286287288288288288288288288288288288289288289288288288288288289289288289289288289289288288288289289289289289289289289289289289289289288288288288287287287288288287288288288288288288288288288288288289288288288288288288288288288288288288288288288288288288288288287287287288288288287287287287287287288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287288288288289289289288288288287287287288288288288288288288288288288288288288287288288288287287288288288288288288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999999999999999999999999999999999292999999999285285287287287288289290291291292292294295297297297297298297297298298296294291286287287289295297301303303303304304303304304304999999999999999999999999999999295301300299299301300301302302303303305304304304305305305305305305306305306305305306306306306306308308309309309310310309309309309309309309308307308308308307308308308308308309309309309308308308307308307306306307308308308308308309308308307307307307307307307307307307308308309309309309308308308308307306306306305305305304304304305304304304304303303303303303304305305304304304303303304304304305305305305305305304304303303303303303301302301301301302302302301302302302302302303303303303301303302303303302303303303303303303303303303304304304304305304304303303303302302302302302302302302302302302302301301301301301301301301301302300300299300300300300300301301300301301301301301301301301302302302302302302303303302302302303302302301301301302302301301301299299300300300299299299299299299299298297297297297297297297296296295295295294296294295295295293294294293293292292292292292293293292291290290290289288288288287288288287287287286287287286286287286287287288287288287288288288289289289289288289289290290290290291290289290289290289289290290290290290289289289289288289288288288288287287287287286286286287287286287287287287288287287288288288287287287287288287287288287287287287287286285285285286286286286287287288288289289288288288288288288287287286288288286287286287286287288288288288289288288288288288288289289289288288288289288288288288289289289289289289288288289290289289289289289289289289289288288288289288288288288288287288288288289289289288288288288288288289289289288288288288288288288289288288288288288288288288288288288287288288288288288288288288288288287287287288288288288288288288288288288288288288288288288288288288288288288288288288288287288288288288288288289288287287287287287288288288288288288288287287288288288288287288288288288288288288288288288289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999999300300999999292293292291999293290289288287290289290290290291292292292293293293295295297298297297297297296296295291290291291291295298300302302302304304304304305304305305999999999999999999999999999999297300297295300301300301302303303305303305304305305306306305306305306306306305306306306306307307308308308309309309309309310309309309310310309309309308308308308308309309309309309309309309308308308308308306307308308308309309309309308308308307308307307307307307307308308308309309309309309309308308308307307306305305305305304304304304304304304303303303303303303304304304304303303304304305305304306306305305304304304303303303303303301301301301302301302302302302302302302302302303303303302303302303302302303303303303303303302303302305305305305305303304303304304302302302302302302303303303302302302301301302302302301301302301301301300300300300300300301301300301301301302302301301301301301303303303303303303303303303303303303303303302302302302302302301301300301299300300300299299299299299299298297297296297297297297296296295295296297295295295295296294294294296295294293293292293293293292291291289289289289288288288288287287286287287285286286287287287287288288289288289290290290290289289289289290290289289291290291290290290290290290290290290290290289289290289290290289288287288287288287287287286286286286287286286287288288288288288288288287287286287288288287288287287287287287286286286286286287289288288288289289289288289287288288288288288287287286287286287287288288287288288288288288288288288288288288289289288288288289289288288288288289289289289289287289290289289289289289289289289289289289288288289288288288288288288288288289289289289289289289289289288288289289288288288288288288288289288288288288288288288288288288288288288288288288288288288288287287288287287287288288288289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287288287288288288288288288288288288288287288288288288288288288288288288288288288288288288289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299999999999999999999999297298999999293293294294292289290290291292292292292292293293293293294294294295295296296297297297297296296294294293293294297297298299301302302302303304304304304304304305305306999999999999999999999999294298300300298300300299300302302303303303303303306306306306305305306306305307305306306306307307307308308309308307308310309309309309310310310310309308309308308308308308309309309308308308308308308308308306306307308308309309309309309308308307307308307307308307307308308308309309309309309309309308308308308307306306305305305304304304304304304303303303303303304303303303304304303302303304306305305304306306305305305304304303302302302301301302301301301301302302301302302302302302302302302302303302302302302303303303303303303303303303304304305305305304304303303303303302302302302302302302303303303302302302302302302301302303302301301301299300300301301301301302302301302302302301301301301303303302303303304303303303303302303303303303302302302301302302301301301301300300300300299299299299299299298297297297297298297297297297296296294297296294295294295295294295296295295294294293294293293292292291290289289289289288287287287287286287287286286287288288288288289289289289290290291290291289290289290291290289289291290290290290290290290290290289289290290290290289290289289288287287288284287287287286286285286286286287288287288288289288287288288287287287286286286285285288288287287287287286286286287289289289288289289289289289288288288288288289289286289287287287288288288288288288288289288288288288288288288288288288288288288289288288289288288289289289288288288289289289290290290289289289289288289289288288288288288288288288288289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288289288288288288288288288288288287288287287287288288288288288288289289289288288288288288288288288288288288288288288288288288288288288289288289289288289288289288288288287287287287288288288288288288288288287287287288288288288287287288288288288288288288288288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298294999999999295296297308299296294295294295295295294294294293293294294294295295296295295296296296296296297296297298297296295295295297297299299301300300301300302302302304305305305305305305305304304999999999999999999999294296299300300300299299300300303302303303303305306307304304305306306306306308308306306306307307308308308309308308308308310311311310308310310310310309310309308308308308308309309308308308308308308306306307306307308308309309310309309308308308308308307307307308308308308308308309309309309309309309308308308308308306306306305305304304304304304303303303304303304304304304304303303302303303304305305304304305305305305305304304303302302302301301301300300301301301301301301301302301302302301301302302302302302302303303303303303303303304304303305304305305303303303303303303302303303303303303303303303303303302302302302302303303303303302301302301301301301301302302302302303303303302302301301302303303303303303303303303303303303303303303303302302302301301301302302301301301301301300300301300299299299299298298297298298298297297297297296296296295295295295295295296294296296295294294294294294293291291291291290289289289288288287288288287287287287286286287288288289288288290290289289290291291291290290290290291290291289290290289289289289289289289289289289290290289289289289289289288287287285286286287286286286286287287286288287288288288288288288288288288288288286286286286288287287287287287287287286287288289289289289289289289288288287287288288289288287289288288288289289289289289288289288288288288288289288288287288288288288288289289289289289289289290290288288288289290289289290290290290289289289289289288288288288288288288288289289289289289289289289289289289289289289288288288288288288288288288288288288289288288289289288288288288288288288288288288288288288288288288288288288288288288288289288288288288289288288288288288288288288288288288288289289288288288289289289289289289288288288288288288288287288288287287287288288288287288288288288287287287288287288288288288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297300299295299999999295297296296296297297298297296296295295295295295295296297297297297297297298298297297297297297298298298298297297297298298299300301301299300300300302303303304304305306306305305306305305302301999999999999294295297298299300299299299300301302303302305304306306306304305306306307308308307308307307307306306308307308307308308307307308310310308310310309309309310310309309308308308308308308308307307307307309306307306307307308308310310310309309308308309308308307307308308308308308308309309309309309309309309308308307308308307306306305305305304304304303303303302304304303303303303303303303304302304304305305303305305305305304305304304302303302302301302301300300300300301301301301301301300300300301301301302302302302303303303303303303303303303305305306305306305303303303303304303303303303303303303303303303303303302302302302302302303303303302302302302301300302302302302302303304303303303302301301302303302303303303303303303303303303303302303302301302302301301301301301301300301301301301300301301299300300299299298299299298298298297297297297297296296296296296295295296296296294295293293293296294293291290291291290289289289288288288288288288286287287287287288287288289289288290290290289291290291290291290291291291291291290290289289289290289289289289289289290290289290288288289288289288289286287288286286287286286286287287287286287287288289288288288287285287287286286287286286287287287288287286286286286288290288289289289289289289288288288288288289289288288289288288288289289289290289289289289289288288288288289288288288287288289289289288289289289289289289289289288288289289290290290290290290290289289289289288288288289289288289289289289289289289289289289289289289289289289289289288288288288288288289288288289288288289289288288288288288288288288288288288288288288288288288288288288288288288288288289288288289288289288288288288288288288288288288288288288289288288289289289289289289288288288288288288288288288288287287288288288288288288288288288288288288288288288288288288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298294294999999999296297297296297297297297297296295296296296297298298298298299298298299299299300298298298298298299299298298299300300299299299300299299299300301302302303303305306306306306305306305304302302301999999999295297298298298298298298299300300302302302303303306305306304306306306307307308308308308308307306308308309307307308310308308308309309309309309309308308309309309309307307307308308307308308307307307307307307308308308308309309309309309309308308308308307307308308308308308308309308308308308309309308308308308308308308308307306306305304304304303303303303303303303303303303303303302303304304303304306305305305304304304303304303304303302302302302301301300300300301301300301301301302301301300301300300302302302303302303303302303302302303304303304307305306305305303303303303304304304304303303303303303303303303303303303302303303303303303303303301301301301302304304303303303304304303303303302301302302302303303303303303303303302302302303302302301302302302301302301301301301301301300301301301301301300300300299299298298298299299298297297297297296296296296296296295296296294294294294293293294293293291290290290290290289289289288288288287288287288287288288288287288289289289290290289290291291290292292291290290290291290290289290290290290289289288289289289289289289289288289289288290289289289288286286286286286285286287287286286288287288287287287288288288285285286285287286286287288288288287287286286287287288289287287287287288288287286288289288287287288288288288287287288288288289289289289289290289289289288288289289289288289289289289289288289289289289290289289289289289289290290290290291290290289289289289289288289289289289289289289289289289289289289289289290289289289289289289288288288288288288288288289288288289289289289289289289289288288288288288288288288288288288288288288288288288288288288289288289288288288288288288289288288288288288288288288289289289288288289289289289289288288288288288288288287288288288288288288288288288288288288288288288288288288288288288288288289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296294999287296293295296297297297297297296296296296297298298298299299299299299299299298299299299299298298298299300299298299299299298298298299298299299299300301301301303304305306306306306305305305304302302301301999999294296298298298297295297297299300300301302303303304306306306305306307306305308306306306307306307306307307307307307308309307308309308308307308308308307307308308308307307307307307307308308307308308308307308309308309309309310310309308308307308308308307307307308308308308308308308308308307308309308308308308308308307307307306305305304304304303303303303303304304304303304304303303304305303303306307304305305304304303303303303303303303301302302300301300300301301300300301301301301302301301300300302302302302302302302302302302302302303302304305306305306306305305304304303305304303304304304304304304304304304303303303303303304303304304303303302302302303303303304303304303304304303303302302303302302302303303304303304304304303303302302302301301302302302301303302302301301300302301301301301301300301301300300299299299298298298298297296296297296295296296296295296296297295294294295293293293293292292291290290289290289289288288288289289288287288288288288288289289289289290290290289290291291291290291291289289289289289290290290289290290290289289288288289290289292289289290289291290286289289289291286285287286286287288288289288288287287287287287288288289286286286287286286288286288288287287287286286286287287287287288287287288288287287288289287286286288287288288288288288289289288289289289289290289289289288289289289289289289289289289290290290289290289289290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288289289289289289289289289289289289289288289288289288288288288288288289288289288289288288288288288288288289289288289288289289288289288289289288288289289289289289289288289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999999299299301299296293294294294293294296297297297297297297297298298299299299300299299299299299299299300300300300298298298299298299299299299298298298298298298299299299300300301301302303304305306306306306305305305304303302302302999999293297298298299297295296296299300302301302304304306307306307305306308306305307306306307307307307307307307307307307307309309308308308308307307307307307306307307307308307307307307308309309308308309309307308308309309309310310309309308308308308308308308308308308309308308308308308308307308308308308307308308308308307306306306305304305304304303303303303305305304304304304304304303304306305304304304306303304304304304304304303303303301302301302301301301301301301302301301302301301302302300300300301302302301301302302302302302302301303303304304307306307305305305304304304305305304304304304304304304304304304303303303303303303303304304303304303304303304304304305305304304304304303303303302302303302303304304304304304304304304302303302302302302303303302303303302302303302301302301301301301301300300301300299300300299298298298297297296296296295295295296295296295296296295295294294293293293293292291291293292290290289288289288289289287288288287287287288289289288288289289289289289289290291290290291290291290289288289289289290290289290290290291290288289289290290290290290289290288288288290290292288289289287286287287288288288288288288288288288289289286286286286287286287287287289288288287287287286286286286287287288287287287288288288288288288286287287287288288288288289288289290290289289290290290290291290291291290291290289289290290290290290290290290290290290290290290290290290291291290290290290290290290290289289289289289289289289288289289289289289289289289289289289289289289288288288288288288289289289289289289289289289290289289289289289290289289289289289289289289289289289289289288288289288288288289289288288289289289289288288288288288289289289289289289288288289288288288288288288287288288288288288288288288288288288288288288288288288288288288288288288289289289288289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302299999300302302301299298298297296295295297297298298298298297298298299300300300300300300300299299299299299300300300299299299299299300298298298298298297298299299298299299299302302302302304304305306306305306305305305305304303303302999999294298298297298297296297297299299301302303303306305304305306306306308307307308306306307306307306307307306306306307308309309308307307307307306307307306306306306307307307308308308308308309309309309309308310309309309310310309309308308308308308307308308307308308308308307307308308308308308308307307307307308308307307306306306305305305305305304304304304305305303304305304305306304304304302304304306303304304304304303304304303303303302302302302303302301301300302302302301302301301301301302301300300302302301301302301302302302302302302303305305306308307306305305305304305305305305305304304304304304304304304304303303303303303303304304304303303304304304304304304304304303304304303302302303303303303303304304303303303304303303302302302302303302303303303303303302302303303302302302301301301301301301301300300300300299298298297297297297296297296294295296295296296296296295295293293293294293291291291291291290290290290289289289289289288289288288288288289289288289289289289289289289289289290290290291291290289289290289290291291290290290291291290290289288289289289289289290289291288289289289289290290290290288287287288288289288287288287289288289291287287287287286286287287288289288288288288288287287287286287287287287287287287288288288288288288288287288288288288288289289289289290291290290290290291291291291291292292291291290289290290290290290290290289289289289290289290290290290290290290290290290290290290290290289290289289289289289289289289289289289289289290290290290289289289289288288288289289289289289289289289289289290290290290290290289289289289289289289289289289289289289289289288288288288288288289289289289289289289288288288289289289289289289289289288288288289288288288288288287288287288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300301305304303301300300300298296296297298299299300299298298299300300301300300301301301300300299299300300300300300299299298298299300298299298298298297298298299299300300300302302303303304305305306306306306305305304304304304303303297300296299300300298299301297298299300301303306306305305306307307307307307307307307307307307307307307307308308308308308309307308307307308308308306307306307307306306307308308308309309308309309308310309309308309309309310310310309308309308308307307308308308308308308308308308308308308308308308308307307307307307307306305306305306305305305305305304304303304304303303303305304305306305305304302302305305304304304302303303302302303302302302302303302298298298303301302302302301300301301300301301301301301301302302301301302302302302302302301304304304305308308306306305305304305305305305304303304305304303304304304304304303303303304304303304304303304304304303303303304304304304303304303302302302303303304304304304304304303304303303303302302303303303302303302303303302303303303302302302301301301302301302302300300300301300300298296296298297297297296296296295295295295295295294295296293293294293292291290290290290290290291290290290290289289290289289289289290290289289289290289289289290290289290291290290290291290289290290290291290290290291290291291290289289289291289289290292292291290289290290290290290290289288289289290289289290290290290290290291286286287287286287287288287288289288288289288287287287288288287288287287287288287288288288287288288288288288287287287288289290290290290291290290290290290290291291291291292291290291291291291291290290290290290290289289290290290290290290290290290290290291290290290290290289290290289289289289289289289289289289290289290290290289289289289289289288288289289289289289289290290289289289289290289289289289289289289289289289289289289289289289288288288288288288288288289288289289289289289289289289289289289289289289289289288288289289289288288288288288288287287287288288288288288288288288288288288289288288289288288288289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302304302302305306305304303302302300298298298299299299300300299299300299300300300300300300300300300300299299300301300301301299300299299299300299299298298298298298298299300300301302303303304304305305306305306306305305304304303303303303303301300300299300300300301300299300299300302304304305305306307307307307307307307307307307307307307307309308309309308309307308308306307307307308306307307307307307307307307307308309309309309309308309309309309308308310310310310309309309308308308308307308308308308308309309308308308308308308308308307307307307307307306306306305305305305305305305305305304304304304305304305306305307305305301302301303303303303302304306305303303303303302302302303300298298299300302301301301300301301300300300301301301301301302302302301302302302302303303303303303303305305308306306306305304304305305304304304304304304304303303304304304304303303303304304304303304304304304304304304304305306305304304304304304304304303303304303304304304304304303303303303303303303303303303303304304303303303303303302302302302301301302301301301301300300300301300299298297297297298297297295295296294294295295293294295296294294294293293291291290290290291291291289289290290290289290289290290289289289290288289289289289289290290290290290289289289290290289290290290290289290289289290291289290289291288287289289292289293292291289290290290290291287287287288289290288290289289289289291291288287287287288287288287288288288286287288288289288287287288287288288287288288287288288289287287288288288288288288288288288289289289291291290290290292290289290290291291291292292292291292292291291291291291291291291290290290290289289290290290290291290290290290289290290290290290289289289289289289289289289289289289289289290289289289289289289288288288289289289289289289290290290290290289289289289289289289289289289289289289289289289289289289288288288288288288289289289289289289289290290289289289289289289289289289289289289289289289288288288288288288288288288288287288288288288288288288288288288289289289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999299300999999300301301302303304305304305305305304302301301299299299300300300301301301300300301300301300300300300300300300300299299299301301301301300300299300299299299299299298298298298298298298299300302303303303304305305306306306305305305304303304303302303303303303300299298300300300302299299299301302303305305305306307307308307308307307307308307307308308308308308308308309309308308308308308307307306307306307307307307307307307307307307308308308307307307309308309309309309310310309309308309309309309308308308308308308308309309308308308308308308308308307307307307307307306305306306306305305305305305305305305304304304304305305305303306304304302300301301300300299305301303306305303303303301303303303304303299299298300303300299300300301300299300299300300300301301301301301302302302302302303303303306302303305304305305305305305305305305305304304304304304305305304304304305304304305304304305304304304304305304305304304304305305306305304304305304305305305305304304303302303303304303303303302303303303304303303303304304303303303303304303302302303302303303303301302302301301300300301300299298298297298297298297296295295295293295295295294293294295295293293291291291291290290290291291291289289289290289291290290290290290289290289289289289289290290290290290289290289289290289290290290290290290290290290291290289290291290287288290289290290293292292290291291291292289288287287288289288289290289289289290290291288287287288288288287288288287287288288288288287288288288289289288288288288288288288288287288287286287288288288288288288289289289290291291291290290291291290290290290291291292292291290290291291291290290291291291291290290290290290290290290290290290290290290291290290291290290290290290290290290289289290290289289289289289289289289290289289289288289288288289289289290290290290290289289289289289289289289289289289290289289289289289289289289289288288288288288289289289289289289289290290289289290290289289289289289289289289289289289289289288288288288288288288288288288288288288289289288288288288288289289289289288289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999298296999299999999999999999999302999999999999999999999999999999999999999999999999999999999999999296299302302302303303301300303999304304305305304305305304302301300300300300300301301301302303302302302302302301301301300300300300300299299299301301301300300299299299300300299299298298297298298298299299300302302303302303304305305307306305304305304304304303303302302302302301300298299300300300301300299299299301303305305306306307307307307307307307307308308307307308308308308308308310309309308309308309309308306307307306307307307307307307307307308308307308308308308308308309309309309310309309309309309309309309308308307308308308308309309308308308308308308308308307307306306306306306306306306306305305305305305306306305304305303304305306306304304305305303302301300299299302303301302302300301302301301303303302303305304298300300302300300300300299300300300300300299299301301301301301301302302303303303303303304303303303304304305304305306305305305305304304304304305305305305305305305304305305305305305304304305305306304305304304304304306306305305304304305306305305305304304302303303303303303303303303303303304304303303303303303304303303303303302303303303302301302303302301302302301300301300299298298298297297297298297297297296296297295295295294294293293294292293291292291291290290290290291291291289289290290291291290290290290290289289289289289290290290290290289289290290291291290291290290291291289289289290291290291291291290290288288288289292292292292292291291292291290290289289288288288287287288290290290291291291286287287288287287288289287288287289289289288288288288288288288288288288288288288287287287287287286287288288288288288289289289290291291290291290290290290290290290290291291292291291292291290290290291290290290290290290289289290289290290290290290290289290290291291291290291291290290290290290290290290290289289289289289289289289289289289289288288288288288289289289289290290290289290290290290290289289289289289290290290290290290289290289289289289289289289289289289289289290290290290290290290290289289289289290290289289289289289289288288288288288288288288288288288288288289289289289289288289289289289289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299298298298296296298298296999999999999298999999999999999999999999999999999999999999999999999999999299297299300301301301302303302301302303303306306306305305304303302301301300300301302302302302303303303302302302302301301300300300300299299298299301301301300300299300300301300300299299299300300300300300301302302303303303304305306306305304304304305304304303303302302302302303302299299300300300300300300299299300301304305306306306307307307306306306307306307307308308307308308308308308309309310310309309309309307307306306306307307307307307307307308308308308308308309308307307309309309309309308309309309309309309308308308307308307308308308308308308308308308307307307307306306306306306307306305306306306305305305305305305304304304303304306305304303303305305304304302300302301301303302302300301301301301302302302302304304301299299298298298299300301302301300299300298300299300301301302302302302303303303303304304304303303304304304304305304305305305305305304304304304305305305305305305305305305305305305305305305305305305306305305304304305305305305304303304305306305305305305305305304304304304303303304303303303304304304304303303303303303302302302302302302302302301301302301301302301301300300300299299297298297297298297298297297297298299298296295295294295292292293291291291291291290290289289290292291290289290290290290290290290289289291289289289289289290289290289290288289289289290290290290290289289289289290290290290289291291290290289289289289291292291290293291292289288290290289288289287287287288289291291290291291291291286286287287287288287288287287288288288289289288288288287288289288288288288288287287287287286287287287288288288288289289289290290291290291291291290290290290291290291291291291291291291290291290291291291290290290290289290290289290290290290290291290290290289290291291291291291290290290291290291290290290290290290290290290289289289289288288288289289288289289290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289290289290290290290290290290289290289289289289289290289289289289289289288288288288288288289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302302301301300299299299299300298999999303302300299300300999999999999999999999999999999999300298298300300300300299299299301301301302302303301302303303304305305304302302301301300301300301301302302303303303303303302302302302301300300299299299299299299300300300299300300299299300301301300300300300301302302301301301302303303302303304306305304303303304304305304304304304304303303304302302300300300300301301300300299299299301304305306306305306307306307307307307307308308308308307308308308308308308308308310309308308308308307307306306307307307307307308308307307307307307307307307307307309309309308309309309309309309309309308309308308307307307308308308308308308308307306306307306306306306306306306306306305305305304304305305306305304303304304303305304301304304305305305305304302302303303303302303301302300301300302302302303303301301299298298298297298297302300300299298300299299300300300302302302301302302303302303304304303303303303303303304304304304305304304305304304304304305305305304304304304304304305305305306305306306305306305304304304305305305305304303304303304306305305304305305305305305305305303303303303302303303303303303302303303302303302302302302302302301302302301301302301301300301300300300298298296297299298298298298298297298297298297297295295294294293292293293292292293291290290289291292289291290291290290290290291291290290291290290289289289290289289289290290290290291291290291291291291291290288292290290290291289291290290291290291291289291291291290291291292289290290289289288287287287286288288290291290290291291287286288288287287287288288288287288288288289289288288288288288289288289289288288288288288288287287287288288288289288289289289290290291291291291292292291291290290290291292292292292292292291291291291291291290290290290290290290290290290291291291290290290290290290291291291291291290291291291292291291290290290290290290290289289289289289288288288289288288289289289290290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289290289289290290290290290290289289290290290290289289289289289289289288288288289288288289289289289289289289289289289289289289289289289289289289289289288288288289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302302303301301302302301300300300301302302303303302302301301301999999999999999999999999299299301302301300300301302301300300300300301300300301301302302303303302303302302301301300301301301300300301302302302302303302302302301301300300299299299299299299299299301300299299300300300300300301301301302301301302302302302301301301302302301302304304303303303303304304305305304304305304303304304304303301301300300299301301300300299299301304306307307305307307307307307308308308308308308308307308308308308308308307308309308308308307307306306307306307307307307307307307307307307307307308307308307307309309308308309309308309309309309309309309308308308308308308308308307307308307307307306306306306306306305305306306305305305305305306305305305304304304304304305305303303304304305305306306305303301304303303303303303302301301302303302301302303301301300300298298297298298298299300301299300298299299300300300301302302302302302303304303303303304303303303303303303303303305304304303304304304303304304305304304303303303305305305306305306306306306306305304304304304304305305305305305305304304305306305305306306305305304304304304303303302302303303303302302301303303302301302303302302301301302301301301302301301301300300301299298298297297296299298298299298298297298299296296295295294294293293293292293293293293293292289291291291291293291291291293292292291290290290290290290290289288289290290290290290290291291290291290291291291290290291290290289291291291291290291290291291291290290291290291291292289291291289288288285288290290287289288290290290289291290286286287286286288288288288287288289289288288288288287287288289289289289288289288288288288288288288288288289289289289290290290290291291291292291292292292291291292292292292292293292293292292292292292291291290290291291291290290290291291291290290290290290290290291291292292291291291291291291290291290290290290290290290289289289289289289289289289288289289290290290290290290290290290290291291291291291291291291290290290290290290290289289289289289289289289289289289289289289289290290290290290290290290290290289289289289289288288288288288289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302303303303303302302301301301301302302303304305305304304304303303999999999999999999999999300301302301302302301301301301301300299300300301300300300301302303302302303302301301301301300301302301301300300300301302302303302302301300300299299299300299299299299300300299299298298299300299300300300301301302302301301302301302301301301301301301302303303303303303303303304305304304305305305304304304303303302301300302301300302302302300299300303304306307308308308307307308308308308308308309308308308307308309310308307308309308308308308307306306307307308307307307307307307308308307307307308307307307306308308308308308308309309309309309309308308307308308308309308309308307307307307307307306306306306306306306305306306306306305305305304304304304304305304305305305304304304304305305306306306306304304303304303302303303303303302304303302302301302300303299299299298298297298298299301301300300299300299300300300301301302302302302303302303303303303303303304303303303303303304305303304304304304303303303303304304303303304305304305305306306306306305305305305305306306305305305305305305307305305305305305306306306305305305305304304303302302302302303302303302302302303302302302302302301301301301301301301301302301301301300300300299299297298298297297298300299297300298298297295295293292295294294291292293292292292293292291292290292291291294293293294293293292291291290291291289290289290290291291290290290290291291291290288290291291291291291291289290291293292292292291290291291291289291291290289290292291292292290290288290290291291291290290289289290290290291291286288287287288288288288288289290288290289289288289289289289288289289289289289289289289289288288288288289289289289290289290290291291291291292292292292292292292293293293292293293293293294292292292291291290290291290291291290290291291291290290290290290290290290291291291291291290291291291291291291291291291291291290290290289289289289288289289289289290289290290290290290290290290291291290291291291291291291291291290290290289289289289289289289289289289288288288288288289289289289289290290290289289289289289289289288288288288288289289289289289289289289289289289289289289289289289289289289289289289289289289288288289288288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305304304303303303302302302303303303304305305306305305305304303999999999999999999999300999303303302303302302301301301301300300300301301302302301302301302302303303303303302302302302302303302301301300300300301302302302302301300300300300300301301301301301300301300300299299299299300300300300300301301302302301301301301302302301301302302302303303302302303303303303304305304304304304305304304304304303301301302300300300301301302300298298301303305307308308308308308308308308308308308309309308308308308309309309308308308308308308308307306306307307308307307308307306307308308308308308308308307307306308308308308308309309308308309308308308308308308308309309309308308308307307307307306306306307306305305306306306306306306306306306304303304304305304304305305305304304304304304304305305305305305304304303302301303303303303301302303303302303302302302302299299298298298298299299301301301300299299300300300301301302302302302302302303302303304304303303304304304303304303304303303304304304305304304304304304304303304304304305305305305306306306305305305306306306306306306305304304304305305306306305305305306306305305304304304303303303303303303303303303303302303303302303302302302301301301301301301301302301301301301300300300299299299298298297298298299298297297299299298296295295293294294294294293294293293293293293293293291292295294294294293294295294292292291291291291291291291291291291291290291292291291290291291290289290289290289291292289291291293293292291291291291290291291290291291288289291292292290290290290290290290290290290290290289290290290286291285285288288287288289290289288288288289289289289289289288289289288289289290289289289289289288289288289289289289290290290290290290291291291292292292292292293293293294293293293293293293292292292292292291291291291291291291291291291290290290291290290290290290290291291291291291290291291291291291291291291291291291291290290290289289289289289289289289290290290290290290291291291290290290291291291291292292292292292291291290290289290290289289289289289289289288289289289288289289289289290290289289289289289289288289288288288288288288289289289289289289289289289289289289288288288288288288288288288289288288288288288288288288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304304302303303303303303304303304304306306306305305305306305305304999999999999999999999999299301303303303302301301301301300299301302302302302303303303303303303303303304303303303303303302302302302301301300300301301302302302301301301301302302302302303302301301301301300300299299298299299300300300300301302301301300301301302302302301302302303302302303303303303303304304305304304304304305305304304304303302301301300300301301301301300297298301303306306308308309308308308308308308308308309309309308308308308308308308308308308308307307307307307307308308308307307307307308307308308308308308308307307306307308307308309309308308308308308307307308308308308309309308308308308308308307307307306306306306306305306306306306307306306306305305303304304305304304304304304305305305304304304304305304304303304303303302302303301301301302303303301303302302302302300299299299299298298299300301302302300298299301300301301302302302302303303303303302302302303303302303303304304303304304304305304304304305305304305304304304304304305304305305305306306306306305305305305306306307307307305305305304304305305305305305305305305305305305304303303303303303303303304303303303302302303302303302302302302302301301301301301301301301301301300300300300299299299298299298299299298297297297298298298296294293294294294294294294294294294295294294292292294293294295293295295294293293292292291291292292291291291291291291290292291292291290290290290290289289289288290290290291292293292292292292291290290293291291291291290291292291291293289291293291291291291291290291290290289290290287288291292290289289289289289289289288289287288289289289289289289289289289290289289290290290289289289289289289290290290290291291291289291291292292293293293293293294294294294293293293294293293293292293293291293292292291291291292291291291291290290290290290290290290291291291291291291291291291292291291291291291291291291291291290290290290290290290290290290290290291291291291291291291290290290291291291292292292292292292292291291291290290290289289289289289289288289289289289289289289289289289289288289289289289288288288288288288288289289289288288288289289289289288288288288288288288289288288288288288288288288288288288288288287287287287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999304304304304303304304303303303303303304305304304305305305305307307305304304999999999999999301302302300301302303302301301301301300300301302303303303303304304303303303303304304304304304304304303303302302302302301301301301301302302302302302303303303303303303303302302301301300300299299299298299299300300299300300301301301301301301301301302301301302302302303303303302303304303304304304304305305305305305304304302302302301301301301301301301299297298301303306307308309309308308309309309308309309309310308309308308308308308308308308308307308308307307307308308308307307307307307308308308308308308308308307306307307308308308309308308309308308308307307308308308309309308307308308308309308307307308307308307307306306306306306306305305306304304304305304304304304304304303304304305305304305304304304304304304304303303302301303302302302303303304303304302302301301299299299300299298298299301304302301301300299300301301301302301304303303303303302302302303304304303304303304303304304304305305304304305305306305305305304305304305305305305305305306306307306305305305305305306306307307307306305304305305304304304305305305305306305303304303304303304304304303303303303303303303303304303302302302302302301302302301301301301301301301302301302300300300299299299299300300298299299297297297297294295293293295295295294295293294294296295295294294295295295295295295295295294294293293292293293293294294292292293293291293291292291292290290290290290289289288290291290291292292292292292291294293292291294292291290291291291292293291293290289290291292291292291291291290290291291288288289288288290290290290291290289288288289289290290290290290290290290290290290289289290289289289289289289289290289290290290291291291291292292293293293294294294294294294294294292293292293293292292293292292292292291291291291292291291290291290290290291290290290290290290291291291291291291291292292291292292292291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290291291291292291291291291291291290290289289289289289288288289289289289289289289289289288288289288289288288288288288288288288288288289289288288288288288288288288288288288288288289289288288288288288288288288288288288288288287287287287286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303303304304305306303304304304303303303304304304304304303304304305306307306305304303999999999999999303303303301298301302302301301302302301301302303304304304304304304303303302303304304305305305304303303302302302302301301301301301301301302302302302303304304303303303302302301300300300299299299298297298298299299300300300300301302302302302301301302302302302302302303302302302302304304304304304304305305305305305304303303302302301301301301301301300298296298302304306307307309308309309309309309309309309308308308308307307307307308308308308308308307308308307307309309308308307307308308308308308308307308308308307307307307307308308309308308308309308308307307308308308309308308308308308309308307307307307307307307306306306306305305305305306306302303305304304304304304304304303304303305303304305305304305305304304303303303302301303301301303303305303304303302304301302303301300300300300299300301302304302302301299302301301302302303303304303303303303302302303303304303303304303303304304305304305304305305305306306305305305304305304305305306306306306306306306306306305305305306306306306307307306306305305305305305305305304306305305305304304303304304304304304303303304303304303303304303303303303302302302302302302301300301301301301300301301300300300299299300300299299298298299299298298298297297296295295296295295295294296295296295296295295295296295295296295295295295295295295293293294294295292293292293291292292292291291292291290290289289289290289291290291292293292293291292291291293290290290290291290291291291292292292292293292291291291288292291291291291292292292287289288288288288289290290290290290288289290290291291290290289290290290291290290289290290289290289288289289289289290290290290291291291292292292292293293294294294294295294295294294293294294293293294294293293293292293292292292292292291291291291291291291290290290290290291291291291291291292291292292292292292292291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290291291291291292291291291291291291290290289289289289289289289289289289289289289289288288289288288288288288288288288288288288288288288288288288288288288288288288289289289288288289288288288288288288288288288288288288287287286286287287286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300302303303303304304304303303303303302303303303304305304305303304304305306307307306306304305999999999999999999305304301302302302302302302303302303303304304304304303304305305304303303304304304305305304303303302302302302301301300300301301301301302302302303303303303302302301300300299299298298298298296298301297298299299299299299300301301301301301302302302302302302302302302301301303303304304304304304304304305304304304303303302302301301301301301301299298297300303304306307307309309309309309309309309309309309308308308307307307307308308308308308307307308308307308309309308307308308308308308308308308308308308308307307307307308309308309309308308308308308308308308308308307308308308308308308308307307306307308307307307306306306305305305306304306303303303303303303303303303303302302301302302304305305304304304304303304303303301301302302302305304305303303302302301300301301300300300300299300301302302305303303303300302301302304303303302303303303303302302302301303303303304303304303304304305305306304304305305305304305305306305306305305306306307307306306306307306307306305305305305305306305306305306305304304305304304304305306306306306305305304302304304304303302304304304303303303304304303302301302301301303303303302302301300300299301301300300300300300299299300300299300299299300300297296297297297296296294295296294294294294294294297298296295298295296296296296295295295295294294292295294293292292292292291292292292291291292291291291290290289290289290291292294293292292291292290289291290290289289289291290291291292292293292292291290292291291292291291291291291291287288288288289288288289289290290289290288289290290290291291291290290290291290290290290289290289290289289289289289290290291290290291291291292293293293293294294294294294294295294295295294293293294293294293293293293292293292292292291291291291290291290291290290290290290290290290290291291291291291292292292292292292292291292292291291291291291291291291291291291291291291291291291291291291290290290290290290290291291291292292291292292291291291291291290290289289289289289289288289289289289288288288288288289288288288288288288288288288288288288288288288288288288288289289289289289289289289288288288289288288288288288288288287287287287286287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304303304304304305304304304304303303303304304304304305303303303304305306307308308307306305999999999999999300306304301302304304305305305305304304304304304303303304305305305305304304304304304305305304303303303302302302301300300300301301301301301302302302302303302302301300300299299299298298299298297300301297298298297297298298299301301301301302301302302302302302302302302302301302303304303304304304304304304304304304303302301301301301301301301301300299299301303304305306307308308309309308308309309308308308307307308307307307307307307308308307308307308308308309310309308309308308309308309308308308308308308307307307307307308309309309309308308307308308308308309308308308308308308308309309308307307307307308307307306305306307305306303305303303304304303303304304303302302302302302302303304305305305305305305304304302302301300302302302301302304306303302303302300299299301301299300299298300303302302303303300301301302302303304302303304303303303303302303303302303302303302303304304305306305306306304305305305304305305306305306307306306306307307308306306307306307305306307306305305305305306306306306305304304304304304305305305306307306305304304303303304304302302305304304304304304305303302302302301302301302302302302301301300300301301301301301301301301300300300301299299300300299299298296298298298297297295297296294294295294297295297296296298296295297296296297296297296295295294294294291293292293292292292291292291292291292292291291291290290290290291292292293292291292290292291287290291290290289289290290291291290290292290289290291292292291290290291291291286291291288288289288289289289288289290290288289289290290291291291291291290291291290289289289287289289289289289289289289290290290290290291291291292292292292293293294294294294294295294294294295294293293293293293293293293293293293293292291291291291291290290291291291290290290290290290290290291292291291291292292292292292292292292292292291291291291291291291291291291291291291291291291290290291290290290290290290289290291291292292291292291291291291291291291291290290290289290289289289289289289288289289289289289289289289289289288288288288288289288288288288288288289289289289289289289289289289289288288288288288287288287287287287287287286287287287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305305304305305304304304304304304303303303303304304304304304304303304305306307308308308308306999999999999999999999302299299302305305305305306306305305305304304304305305305305305304304304304304305305304304304303303303302300300300300300300301301300301301302302302302301301301301300299299298298298299299298298298298297297297297298299300300301301302302302302302303303302302302303302303303303304303304303304304304305305304303302302301301301301301301301301301301300301302304305305306307307308308308308308308308308307307307306307307306307307307306307307307307308308308309309308308308308307307308307307307307307307306306307307307308308308309308307307307307307307307307308308306308308307308308307307307307308308307307306306305305306304303302304304304303304303303304304303303303303303302304305304304304305305304304303303302302302302303303302303302303305307302302301299299300300301301300298299300300299300300302299301300300301303303303304304303303303303303302303304304302303303303304305305306306305306306305305305305305305305305305305306306306307307307307307307307307307307307306306305305305306305306306305305305304304305306305305306307306305304304304304304304304304305304304304304306306305303302301301301301301301301302301300300300300300300301301301301301301301300300300300299299300299298299299298297298298296296296294295295296296296297297297299299297298297296297298297297296295295294294293293293293292292291292293293292292292293292292293291290291291293293293291292292292292291292291291288291290290291290290290291290290291289290291292292290290291290291287287288289289289288289289288289289289290289289289289289290291291291291291291290291291291291289289289290289289289289289289290290290290290291291291291292292292292293293294293294294294294294295294294294293293293293293293293293293293293294293292292291291290290290291291291291290290290290290291291291291292291291291291292292292292292293292293292292292292292292291291291291291291291291291291291291291290290290290290290290290291291292292292292292292292291291291291291291291290290290289289289289289289289288288288288288288288289288288288287287287288288288288288288288289289289289289289289289289289289289288288288288288287287287287287287287287286286286287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305304304304304304304304304304304303302303303303304304304305304304305306306307307307308308306304302999999999999999300298296299302304304305306306306305305304304305306305305305305305305305305304304304304304304304304302301300300300300300301301302301301301302302302302302301301301300299299298298298298299298297297297296296296297298299299300301301302302302302302303303303303303302303303303303303303303303303303305305305304302302302301301301301301301301301301300298302303304305306306307308308308307307308308308307306306306306306306306306306306306307308307308308308308308309308308307307307307307307307307306307306307306306307307307307307308308307307307307307307307307306306306307307306306306306306307306308307306306305304304303305305305304305304303303303302302303303302302302302303302302302303302302303304304303303303302302302302301302302300303302305306304299299298298299299299299299297298299299299301302301300300300300301303303303303303303303303303304303303302303302303302304304305305304305304305305305305304304305306304305304304304304306306306304304305306305305305306306307306306305305304305306306305304305304305305305305305305306305305305304304304303303304303303303303303303304304303303302301301300300300300300299299299298299300300300300299300300301300301300300299299300300298299299298298299297299299297297293294295295296296297298297297297298298298296296296297297296295295295293293292294293294292292292291293292292292292292293292292291292291291291293293292292293293293292292291290290291290291291291291291287289290290291290289292291290290290291291289286287288288289288290290289289289289289289289289289290290291291291291291291290291290291291290290290289289289290289289289289290290290289291291291291292292293293293293294294294295294294294295294294293293293293293293293293292293293293294293292292291291290290290290290291291291291291290290290291291291292292292291291292292293293293293293293293293293293293292292292292292291291291291291291291291291290290290290290290289289290291291291291291292292291291291291291291291291290291291290290290289289289289288288288289288288288288288288287287287287288288288288288288288288288288289289289289289289288289289289289288288288288288288287287287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304303303304304303304304304304304304303304305305305305305304304304306307306307308308308307306304999999999999999297297295294295297302302303304305306305304304305306306306306306305305305305304304304304304304304304303301301300300300301301302302302301301301301302302302302302301301301300299298298298298299298298298297296296296297298299300301301302302302303303302303303303303303302302303303303303303303303303304304305306304303303302302301302301301301302302301298298303304306306306307307308308308308308307308307306306305306306306306306306305305306307309308308308308308309309307307307306306307307306306307306306307306306306306306306307307307307307307307307307307306307306306307307307307306306306305305306307307306305304304304305305305305304304304304303303303302302303302301301302303303303303304304302303303303302302302302302298298300299300303304304305302301300299299300298298298300300300299299296298298302302298300300301303302303302303302302302302302301303303302303302303304305305305304305305305304304304305305305305305304303304303303303304306305304304305305304304304305306305306306305305306305306305305304303303306304304304304305305305305305305304305304303304303303303303303303303303302302301301301301301300300299299298298299298300301299299299300301300300300300300300299299300300300299300299299299299298297298297297296297297296299298298299298297298296296296296298297296295295295294293294292293292292292292292292292293292292293292292292293293292294292291293293293293293293293293293291291291289290291293292291290290290292292291291292293292290291290292291291288288288288289291291290291289288289289290290289290290290292292292291292291291291291291291290290289289290289289289289290290290291291291291292291292293293293293293294294294295294294295295294294294294294294293293294293293293293293293293293293292291291290290290290291291291291291291290290291291291291291291291291291292292293293293293292293293293293293292292292292292292292291291291291291291290290290290290290289289289291291291291291292291291292292291291291291291291291291291290290290289289289289288289289288288288288288288288287287287288287288288289289288288288288288289288289289289289289289289289289289289288288288288288287287287287287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303305304304304303303303304304304304304304304305305305305304304304305306307307308309310309307305301300300999295296295294293292292296299301303304305306303303304305306306306305306305305305304305305305304304304304303302301301301300301301302302302302301301301301302302301302301301300300300300300299299299298298298298297298297297297298299300301301301302302303302302303302302303302302302303303303303303302302303304305306306305304303303302302302302302302302303303301302304305306306307307307308308308308308307308307306306306306307306305305305305305306308309308308308307308308307306307306306307307307307307307307306306306306306306305306306307307307307307307307306307307307307307307307307306306306306305305304306306305305304304305305305304305304302302304305304304303303303302302301302302302302302304304302302303302301301301301301298298298299300302304304302301300300297299298298295299300300300300300302298298303302298299300300302302301302303303302302303302301301303303302303303304304305305304305305305304304304305305305305305304303304304303303305304304303304305305303302304305305305305306305306306306304303304305305305306304305304304304304305304304305304305303303304304303303302302303303303302301301300301301301300300299298298299300300300299299299300300300300300300300299300299299300300298299300299299298298299296298297299297298298299299298299297298296297297297296296296297297296296295294293293294293293293292292292293293293292293293292292291293293294294293294294295296294294294294293291291292292292291289289291292291291292292292292292292293291290290290291289288289289289289289291289290288290288289289290290289290290290291292292292293292291290290291291290290290289289290289289290290290290291291291291292292292292292293293294293294294294295294295295294294294294294294293294293293292292292292293293293292292291290290290290290290290290290291290290290290291291291291292291291291291292292292292293293293293293293293293293293292292292292292291291291290291291291290290290290290290289291291291291291291292292292292292291291291291291291291291291291291290290290289289289289289289288288288288288289288288288288289289289288288288288288288288289289289289289289288289289289289288289288288288287287287287287286286286286285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304303305304304303303303303303304304304303304303305305305305305304305304305306306307307307308307306303300299298297296297297295293290291296299300302303305304303304305306306306305305306305305305304304305305305305304304303302301301302301302302302302302302302302302302302302301301300300300300299300300299299299298298298298298298298298298297298299300300301301301301301301301301301301302302302303302302302302301301302303304305305304304303303302302302301302302302302303303303304304305305306307307307307307308308308307307307307306306308308307306306305306307308309310309309308308308307307307307307307307307307307307307306306306306306306306306306307308307307308307307307307307307307307307308307306305305305305305304306306305303304303305305304305305304304302304305304303302302303302301300301302302302302303303303302303302301301301301300301300299299300300300302302300300300302300300299299297300300300300299303302298303302298299299300301301302302303304303303302302302302303302302303303304305305303305305305305306304305306306306305305304304304303304304305305304305305304305305304305305306305305306306306306304305304305305306306306304305305305305304305304304304304305305304304304305303303303303303302302301301301300302301301301300299298300300300300299299299299299300300300299299298299299299299299298297299299298297298299296299297299297299299299298297297296298296296297297297297296297297297296295295295294294293292293292293293293294293293294294293293293294294296293292294293296295294295292295294293293293292291292291289289291291292292292291291292294294291290291290291288286289289290289289290290290290288287289289290290290290290290291292292291292291291291290291291291290289289290290289289290290290290290291291291291291292292292292293293294294294293294294294294294294294294294293293293293293292292292292292292293293293292291290290290290289290290290291291290290290291291292291291292291291291291292292292293293293293293293293293293293293293292292292292291291291291291291291291290290290290290291292292292291291292292292292292292291291291292291292291291292291291290290290289289288289288288288288288288288288288288288288288288288288288288288288288288288288289289289289288288289288288288288288288288287287287287287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306306305305304304304304303304304304304304303304303304304306305305304305305305306306306306306306305305303302300299298298299301303999291291293296299302303304303304305306306306306305305305305305304305305305305305305304303302302302302302303303302302302302302302302302302302302301301301300300300299300300299299299298297298297298297297297297297298298298299299300299300300300300300301300301301301302301301301301301302302303303304304304304303303302303302301301301302302302303304303303304304305306307307307307307307307307307307307306307307307307307305307307307309309309309308308308308308307307307307307306307307307306306306306306306307307307306306307307308307307307307307307307307307307307307307306305305305305305305305305304303304304302305305305305305304303303303303301302300302301301301301303302301301302302301301302302302301301301300300300299300300302300300301301302301302300300299299298298300300301298299298301299302302300300301301301302302303303303303302302302303303302302303303303304304305304306305306306306305306307307307305304305304304304305305304305305305305305306306306307306304306306306305306305305306306306307306306305305305305305304305304304304304305304304304305304303303304303303303302302302302301302301301300301300300300300300300300299299299299299300299300299299299299299299300298297299298298297297297299299300300298300301299299299299297300299298301298298298297298297298296297296295295295293293293292293292293294292294294294296294294295295295294293293292293296295295293294295294294293293291292292291291291289291293291290291292292292292290289290291288288289289290290290290290290289288288288288289290290290290290291292291292291291290290290291291289290289289289289289289290290289291290291291292292291292292292292293293293293293294294293294294294294294294293294293293293293293292292292292292292293293292291291291290290290290290291291291291291291291292292292292292292291291291292292292293293293293293293293293293293293293293293292292292291291291291291291291290290290290290291291291291292292291292292292291291291291292291291292291291291291291290290290289289289288288288288288288288288289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305306305305305305305305305305304304304303304305303303304304305305305305305306306305306305304304306307307999999999302999999999999999999999999999290294298301303303304305305306306305305304305305304304305305306306305305304304303302301302302303303303302302303302302302302302302302302301301300300300300300300300299298299298298298298297297297297297297298298298299299299299300299299300300300301301301302302302301301301302302302302303304304304304304303303303303302301301301300301301303303302303304304305305306306307308307308308307307306306306306307306306307308308308309309309309309308307308307307308308307306306306306306306306306306306306307307307307306307307307307307307307307307307307306307307307306306304304304304305304304304302301303302303304304303304303302302302301301299302300301299301300300303302302302302301301301303301301301301300300299300298300302300300300301302301301301299299298298298298298299297298299298300300300300300301300301302302301302302302302302302303303303303304303303304304304305304305305305306306306305306306306306305304304304303305304303304305305305306305307307307305305305305306306307306305306306306306307306305305305304304304305305304304305304305304304305304303304303302302303303303302302301302300301300301300301300299300300300301299298298299299298298298298298298299298298298298299298298297296296298299298298300298299298298299298297298297296300299298297297296297297296296296296295295293293293293292292292293294294293293293295294295295295293292292294294297295293297295294293292292291290291292290290290289291291292290290291292290291291291291290288289289288290290290291291289289288288289290289289290290291290291291291292292291290290290290290290290289289290289290290290290290291291291292292292292292292292293293293293293293294294293294295295294294294294294294294294294293293293293292292292293293293293292292291291290290291291291291291291291292292292292292292292291291291291292292292293293293293294294293293293293293293293292292291291291291291291291291290290290290290291291291291291291292291291291291291291291292292291292291291291291290291291290289289289289288288288289288288288288288288288288288288288288288288288288287288288287287288287288288288288288288288288288288288288288287287287287286286286285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306307307306305305305305305304305304304305305304304303302304304305305305306306306306306305304302999999305999999999999999999999999999999999999999999999294298301303304305306306307306305305305305306306306306306306306305305304303303302302301302303303303303303302302302302302302301301301300300300300300300300300299298298298298298299298297297297296297297298298298299299299299300300300300300300301301301302302301301301302302302302303303303304304304304304304303303302301301300300300301302303303303304304304304305306307307308308308307307306306306306307307306308308308308309310309309309308308308308308308307307307307307307306307306306306306306307308307306306306306307307307307306307307307306306306305306306306304304304305305304304304303302302302300303303302302301301301301299300299299299300302300300301302301302302302301301301301301301301301301300300299298299300299300299300302301301299299299298300298298298302297297299298300299300300302300300301300301301301302302302302303303303303302303303303304304304304305304304305305305305305305308306306304305304304304304305304304304305304304304305306306305304305304305305305305306306306305306305305305306306305306305305305304304304305305304304304303303304303303302302302302302302300300300301300302301301300299299299299300299298297297297298297297297297298298297299299297299299298298297296299299298300297299300300299298300299298297297297298298296297297296297296297296298296297295295294294292292292293294294293294294294295295295295292293293293293300297294294294293292291291292293292290292291291290290292290291291291292290292292292292290291289289289289290290290290290290289289289290290290291291291291291291291292292292290290291291291290290290290289290291291291291291291291292292293293293292293293293293293293293293294293293293294294294294294295294294294294294294294293293293293292293293293292292291291291290290290291291291291291291292292292291291291291291291291291292292292293293293293294294293293293293293293293292292291291291291291291291291290290290290291291292291291291291291292292291291291291291291292291291291290291291290290291290290289289289289288288288288288288288288288288288288288288288288287287287287287287287287287287287287288288288288288288288288288288288287287287287286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306307307306307306306305304304304305305304304303303304303303305306306306306306306306305304304302999999999999999999999999999999999999999999999999999999294299303304305306306306306306306306306306307307307307307306306306305304303303302302302302303303303303303302302302302302302301302301300300300300300300299299299298298298298298299298298297297297297297298299299299299299300300301300300299299300301301301301301301302302301302303303302303303304304304304304303303303301300300300299300301302303303304304304304304305306306307308307307307306307306306306307307308308308308309309309310309309309309309309309308308306308307307306306307307307307307307307307307306306307307306308307307307307307307306306306307307306305305306305305305305305304303303302304303303302301300300300301300301300300300300300301301301301300301301301301302302302302302301301301300299299299298298299298299299299299300304300301299298297298298299300298300299300300300300299299299300300301301301302302303303303304304304303303303303304304305304304304305304305305304305305305305305304304304305304305305304304303302303305306304305305307304304305304304305306305306306306306305305306306306306305305305305304304303304304304304304304304304304302302302302302302302301301302300302302302301300299299299298299299299298297298298297298297298298298298298298299300299297299298298299299300299299300299299300301299298298298297297297297298297296297295296298297299298298296295294293292293293294294293295295295297294295294295295295295294293292298296294295293293291292293291292293293292291289293292293292291292291291292292293293289293290290290289290290290290291291290289290290291291291291291291291292292291292292292290291291291290290290290290290291291291290291291291292292292292292292293292292292292292293293293293293293293294294294294294294294295294294294294293293293292292292293292292292291291291291291291291291291292292292292292292291292292292292292292292292292293293293294294294294294293293293293293293292292292291291291291291291291290290290290291291291291292291291291292292291291291291291291291292291290290290291290290290290290289289289288288288288288288288287287287289288288288288288288288287287287287287287287287287287287287287288287288288289288288288287288287288287287286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306306307306304305305305304304304304304304303303302302302303304305306306306306306306307306304304303999999999999999999999999999999999999999999999999999999298301304305305306306306306306306306306306307308307307306306305305305303303303302302301302303302302302302302302302302302301301301301301300300300300299299299298298298298298298298297297297297297297297298298299299299299299300300300299299300300300300301301301301302302302303302302302303303303303303303303303302303301300300300299298298301302302303304304304304305305305306307307308307306307306306306308308309308308309309310309310310309309308309309308308307307308308306307308306307308306307307306307306306307307306307307308307309308308307307307306306306306306306306306306305305305303303304304304303303303302302302301300302302301300301301300300301301302300301301301302302303303302301301301301300300299299296299299299298298298299300301300299297298297298299301301300298299299300300300301299299300301301302301302302302303304304304304304303304304304304305304304305305305305305305305304306305305305305305305305305305305302304303304304305304305306305304305305305305305305305306306306305305305305305305305305305304305305304304303304303304303304303303305303302302303303302303302302302302303303302301301301300299299299298299299299298298298298297298298298298298299299299298298299298298300299301299300300301300301300298297298298297297297298299298297296298298297297298300297296296294294294294293294294294294295295296295296295295294295296296294293295294292295293291291290292290290292292292291290293291292292290292292291292292293293290290290290290289290290290290290291291291291291290290291291291291291291292291291292292290290291290290290290290290290291291291291291291291292293292292293292292293292292292293293293293293294294294294294294294294294295294295294294294293293293293292292292292292292292292292292292291291291292291292292292292292292292292292292292292292292292293293293294294294294293293293293293293292292292292291291291291291291291290290290290291291291291292292292292292292292291291290291291290291291290290290290291290290290290289289288288288288288288288288288288287288288288288289288289288287287288288287287287287287287287287288288287288288288288288287287287288287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306304305305304305305304304304303303303304303302301301302303304305305306305305306306306305305999999999999999999999999999999999999999999999999999999999299302304305305306306306306306306305305306307307308308307306305305305304303303303303303302303303302302302301301301301302301300300300301300300299300299299299298298298298298298298298297298298297297297297297297298298298298298298299299300300300300300300301301301302302302302303303302302302302302302303303303303302302301299299299299297295301302302303303304304304305304305305306307308307307307307308308308308309309309309309309310309309309309309309309310308308306307308308310308307307308307306306305306305306306307307306307307307308309308307306306306306306306306307306306306305305303302304303304303303303302303303302300301301301300300300300300299300301300301301302302302302302302302300299300298298300299298300299301299299298298299299300299299298298297298298299300299299299299300300300301301298299300300301302303303303303304304304304304304304304304305304304305304305306305304305305305305305305305304305306305305304304303302303304304303303304305304304304304304304304304305305305305304305304304308305304304304303304304304303304303302303304303304304304303304302303303304302303302302302302301303302301300299299299300299299300299299298298298297297298297298297298298298298297299300298299298299299298299299300301300298299298299297297296297296296295297298295295295296295297294296295295294293294294295294294295295296295295297295296294297294296293295295294293292291291291292292291292292292291290290292291291291292292292293292293290290290290290290291291291291291291291290290291291291291292292292292292292291291292292292291291291291291291291291291291291292291292291291292292291292292292292292292292292292293293293293293293294293294294294294294294295294294294294294293293292292292292292292292292292292292292292292292291292292292292293293292292292293292292292292292293293293293294294294294294293293293293293293293293292292291291291291291290290290290290291290291291291292292292292292292292292291290290290290291291291291291291290290290290290290289289289289289289289288288288288288288288288289289289289289289288288288288288287287287287287287287287288288288288288288288287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304304304305304304304304304303302302302302302302302301302302303304305305305304305305305306999999999999999999999999999999999999999999999999999999999300302303304306306306306305305305305305305306307308308308307306305304304303304303303303303303303302302302301301301300301301300301300300300300299299299298299298298298298297298298299298298298298298298297297297297297297299299298298299299300300300300300301300301301302302302301302302302301301301302302302302302302302301300297298299298298299300302302302303303303303304305304304304306307307307307307307308308309309309309309310310310309310311309309308308309306308306306309308310307307307306306306306305306305305306307305305305306307308309308308307307307307306305306306305304304304304305304304304304304303301304305303302301300302301300299301301299301300301301301301301302302302302302303302300299298298300300300302301300299298298299300301298298298297297298297298299299298298298297299300300299301298299300301300301301302303303303303303304304304304303304304304304305305304306305304304305305304305306305305304304304304303304302302303303302302304304304304303303303304304303304305304304304304305304304305305305304303303305304304305305303303303303303303304304303303303302303303303303302302303303303301301301300299300299298299299300300299299299299299298298298297297298298297298301299301297300299299298298298298297298299299299299298298297297297299296295296297295297296295297295296296295295294294296295295295295295294295295296296296296296296296295296295295293293293293292294294290292292292292291290290293292291292292292293293293293290290290291290290290291291291291290291291291291291291291291292292292291292292291291291291291292291292292291291291291291291291291290291292292292292292292292292293293292292292292293293293293293293294294294294294294294294294295294294293294293292292292292292291291291292292292293293292292292292292292293293293293293293293292292293293293293293293293294294294294294293293293293293293293293292292292292292291291291291291290291291291291292292292292292292293292292291290290290290291291291291291291290290290290290290290289289289288289289288289289288288288288288288288289289289289289288288288288288288287287287287286287287287287287288287288287287287287287287287286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305305304304304304303303302302302302301301302302301301302302302302303304304303304999999999999999999999999999999999999999999999999999999999999301302303304305305306306306305305305305305307307308308308308307305304304304304304304303303303303303303303302302301301300301301301301300300300299299299298299298298298298298298298298298299299298298298298298298298298298298299298298298298299299300301300301300300299300303302302301301301301301301301301302302301302301301300297999298299299299299299301302302302303303303303304304304304305306307307307307308308308308308308309310309309311310310310310308308306306306306306308307308306305306307306303305304305306306305306307306305305308308308308308308308306307305306304304303304303304304305304305304305303303303304303303303303302302302301300299300301300301300301299301300301301301301301302301300300299299301301301302301297299298298297300301302298297297297296297296298298299299300298298300300300300301299299300300301301302302303304304303303303304302304303304305304304305306304305305304305305305305305305305305303304304304304303303302303303303303304304303304303303303303304304303306305304304304305304304304305306305304304303304305306305304303303303303303303304303303304303304304304304304303304303303303302300300300301301299299300300301301301300300300299299298297297299298297299299302299300298299298299298298298297298299299299298298297298301298297297297295298295301295297297296295293294294294295296295295295296295295295296296297297297297296295297295295293293293293292292293293291291292292291291290290292292291291292292291292293293290290290290290290291291292292291291291291292292292292291291292292292292292292291291291291292291291292292292292291291292292292292292292292293292292292292293293293293293293292292293293293293293293294294294294294294294294294294294294294294294293292292292292292291291292292292293293293293292292292293293293293293293293293293293293293293293293293294294294294294294294294294294293293293293293293292292291291292291291291291291291291291292291292292292292292291291291291291291290290290291291291290290290290290290290289289289289289288288288288288288288288288288288288288288288289289289289288288288288287287288287287287287287287287288288288287287287287286286287286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305304304304304304303302301301302302302302302302302301301302301301302303303302302999999999999999999999999999999999999999999999999999999999999301302304304305305306306306305306306306306306307308308308308307306305304304304304304304304303303303303303304303302302301301301300301301300299299299299299298298298298298298298298298298299299300299299298298299298299299299299299298298298299298299299299301300300300300300302302301301300300300301301300301301301301301301300299297295297299298298298298299301301302302302302302303303304304305305306307307307307308308308308306308309309311311310308307308308309307307308308308308306306306305306306306304305305305306306306306307307305306307308307308308307307308306306305303304303305304304304304304304304305303303303304302303303302302301300300300299299300303300301301301301301301301301300300301301300300298299300298300301301301300299298298298301301300297297297297297296296298300297298299298299299299299299299300301301301301302302303303304304303303303303301303305304303303305306305305303305306306306305305305304304302304303303304303303303303303303303303304304303303303303304304304303304303304304303304303304304304304304304303304303304302303304303303302301302303304302303305304304304304303305305304304303302302301301302301302299302302299301301302302301301300300299302299298300299299300302298299299299298299299299299297298300299299297298297297297296295296296297298297299296298296298296295294294294295294295294295295295295297296296298297298297295295294294294293293292292292293293293291291292292292292291290292293292292291292292292293293290290290290290290291292293293292292292293292292292292292291291292292292292292292291292291292291291292292292292291292292293291292293292293294293293293293294293293293293293293293293293293293293294293294294294294294294295294294294295295295294294293293292293293292292292292293293293293293293293293293293294294293294294293293293293294293294293294294294294294294294294294294293293293293293292292292292291291291291290291291291291291291291291291291291292292291291291291291291290290290290290290290290290290290290290289289289289289289288288289288288288288288287288287287288288288288289289288287287287287286287286286286287287287287287287287287287286286286286286286287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305304305304304304304303302301301301301301301301301302302301302301300300300301301303302999999999999999999999999999999999999999999999999999999999301303305305305306307306306306306306307307308307308308308307306305305305304304304304304304303303302303303303303302302302301301300300300300299299299298298298298298298298298298298298298299299299299299299299299299299298298299299299298298298299299298300300301300300300300301301301300300300300300300300301301301301301300298296297297297298298297298298298300301301301302302302303303303304304305305306306307307307308308306306306308309310311309311308306306310306306306307307307307305306305307306306304304304304305306306306305304306307307308308307306307306306304304303303304304304304304304304304304304303303303303303303303303302301301301300300301301301303301301302300301301301301301300299300300300300299300300300300299299300300298299299299301300301297296296297297297295301300298300299299299300300299300300299301301302302302302303304304304304305304302302302302303303303303302305306306307306306305305305305304304303303304303305303303304304305304302303304303302304303303304303304303303304303302303305303303304303304304303303302301301301302302303302302302303303303303303304304304304304303305304303303303302303303302302301304302302301301303303300301302302301300301299300301301299301299299299299298297297298299299298298299302299298298298297297297296296298299298297299299297298296297297295295296296295295294296295293296294296295297297298297297296295295294295295293293292292293294292292292292292292291291290293293293293292293293293290291291290290291291291292293293293292292292293293293293293293292291291293292291292292292291292292292292292292292292292291292293293292293293293293293294294294294294294293293293293293293293294294293294294294294294294294294294294294295295295295294294293293293293292292292292292293293293293293293293293293293294294294294294293293293293293293293294293294294294294293293294294293294293293293293293292292292291291291291291290291291291291291290291291292292292291291291291290290290290289290289289289289290289290289289289289289289289289288288289288288288288288288288288288288288288288288289289288288288288288287288287287287287288288288287287287287287286286287286287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306305304304305305304304303302301301301301301301302302302302302303302302301298299300303999999999999999999999999999999999999999999999999999999999298300304306305305306306307306306306306306307307307307307307306305305305305304304304304304303303302302302302302303303302301301300300300300300299299298298298298297298298298298298298298298299299300299299299299298298299298299298299299299298299299299299299299301300299300300301301300300300300300300300300300301300300300300297295296297297298298297296297298298299300301301301302303303303304304304305305305305306306307307307306307306309309310311307305306305306306306305305306304304305305306306305304304304304304304304305305305306307306306307308307305305306304303303304304304305305304304304302303304303303303303303303302302302299300299301301301301300301302300302301301301301301301301300301300299299299299300300300299300300298300298298297299301300301297297298299297295296302302300301300298299300299299300300300300304301302302303304305304304304304303303302302302302302302303302302303305306305306305305303304303302303303303304304303303303304304304304304303303302302301302303303301303302301303301303303303303304303303303303303302301301300302301301302302302304302303303303304303303303304303303303303302302303304302303302302304302303302302303304303303303302301302301299298297298299299300299297298298298302302299299298298300299300298297297298297296297297299298298298299296297297297298300297297295296295295296296295296296296297296299297298297296296295296296295295294294293294293293294294292292292292292291294294294294290294293293292293294294291291291291292293293292293292293293293293294293293292292292292292292292292292292292292292292292292292292292292292292292292292292293293293293293294295295294294293293293293292293293293293294294294294294294294294294294294294295295295295295294293293293293292292292292292293293293293293293293294294294294293294294294294294294293293293294294293293294294294293293293293293293293293292292292292292291291291291290290290290290291290291290290291291291291291291291290290290290290290290290290290290289290290290289289289289289289289289289288288288288288288288288289289289288288288288289289289288289288288288288287287288288288288288287287287287286286286286287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306304304305304305305304304304303301301301302302302302302302302303303303303302300299300303303999999999999999999999999999999999999999999999999999999297302306306307307307307306307307306307307307307307307307306306305306305304304304304303303302302302302303303303303302302301300300300299299299298298297297297297297298298298298298298298298298299299300299299299298299299298298299299299298299298299299298298299300300300300300300300300300299299299299299300300300300300299299297295295295297297298296999298298298298299300300300301302302303303303304304304304305305305306306306305306306307305308310309309308306305305304305306305304304304304304305304304304303303303303304304304305304305305306306306306306306304303303302303302303304304304303304303304304303303303303303303303302301299301301300302301302301300302301301302302302301301300301301301300299300299300299299300299300300299299299300299300299300302298299298297299296294297301301302301300300298300299299297298301302303303303303304304306304303303303302302302302302301303303303304304305305305306305305303303303303303303304303304304302303305304306304304303304304302302301302303300301301301301303302303303302303303303304303303303301300301302300302301302302302303303303304304303303305304304305304302304303304305304304304303302304300301302303305305303303303302302301300299299299298298298297298299302299301302302302300299302302301299299299298297297298296298296298298298297297291298298299300297296296296296296296297295296296296297298298298298296296295296295295294293294293293294293293293292292292292292292292294293294289289292292292294294294290290291292292292293293293292292292293293293293293292292292293292292291292291292292292292292292292293292293292292292292292292292293293293293293293295294295294294293293293293293293293293294294294294294294294294294294294294295295295295294294293293293293293292292292292292292292292293293293293293293294293293293293293293293293293293293293293293294294294293294294294293293294293293293293292292291291291291291291290290291291291291291291291291292291291291291291290290290290290290290290290290290290289289289289289290290290289289289289288289289289289288288289289289287288288288289289289288289288288288287288287288288288288287287286287287287287287287286287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303303303305304304304303303302302302302303303302301302302303303303304304302301301304303999999999999999999999999999999999999999999999999999999297302306307307307307307307307307307307307307306307307306306305305306305304304304304303302303302302302303303303303302302302301301301300299299298298297297297297298298298299298298298298298299298299299300299298299299298298299298299299299298298298298298298299299299299299299300299299299298298299299298299299300300299299299298296297296296297296295297298299298298298299299300300301301302302303304304304305304304305305305305306306306308308307308308308306305303305305306303303304303304305304304304304303303303303303304304303303303303305305306306306305305303302303304303303304303303303302304303304304302303302303303303302302301299300301301301302302302301302303301302301302302301300301301300300299299299298299299300301300300300299299300301300300299299298299296300299298298301303300301301299301300301300300302300301302302302303303304304305303303303304303302302302303302302303303303304303303304306306305303302303304302303303303304304303303304303305306305304304303302301301301301301302300302302302304303302302303303303303303303301301300301301302302302302302302302303302303303303303304304304302303303304303305305305304303302302303302301300304305305304304304302301301303299298299298298298298299299301301301302303300299299300301300299300299300298296298300299299297298296298298298298299299298297296298296295295295295295296297296298297297297298298296296295295295295293294294293295293295293293292292291292292292292292293292290292292292292290291291291291292293293293293293293293293293294294293293292292292293292292291292292292292292292292292292292292292292291292292292292292293293293293293293294294294293294293292293292292292292292293294293293293293293294294293293294294294294294294294293294293293293293292293293293293293293293293294294294294294294294294294294294294293294294293294294294295294294294294294294294294294294293293293292292292292291291291291291291291291291291291291291292291292291291291291290290291290290290290290290290289289289289289289289290290290289289289289289289289289288289289288288287287287288288288289289289289288288288288287288288288288288287287286286287286287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301304303304304305305303304304303302302303303303302302302302303304304304305305303301303303999999999999999999999999999999999999999999999999999296298303307307307308308308308308308308308307307307306306307306306306306306305305304304303303302303303304304304304303303302302302302301300300299299298298298297298298298299299299299298298299299299299300300300300299300299300299300299299299299299298298298299299300299300299299299299299299299299299299299299299299299298298299297298299298297296297297298299298298298297298298299299300301301301302303302303304303304304304305305306306306307306306307306305304303302301302304303305303304304303303303303303303302302302301302303303302303304305304304305305303303303303303303302302303302302302302302304303303303303302302303303303302302301301300301301301302302302301301301301300301300300299300300300300300299299300301300301301301298300300297297297299299299298298298295299300296297303297298300299300300301300302300301301301303302302304304303303303303303303303304302303302303303301301302302302303302302306305305304302302302302302302303305304304303304303304303304303303303302302302302306303303304306303301302303303301301302301301302300301301300300300300301302303303302302301300302303304303302303303304303305304303304303303304303303303303305303303305302302301307301301301301301299300298298298298298299298300301301300302299299299300299297299299302298300299296299297299297296297297297296297298297297298297296297297296296296298297298296297298296297297297297296295296294294294293294293293294292293293292292292291291291291292292292290290292292292290291292292292292292293292293293293293293293293293293292292292292292293292292291291292292292291293293293292293292292292292292293292292293293294294294294294294295296294294294293294294293293293294294293294294294294294294294294294294294294294294294294294294294294294293293293293293294294294294294294295294295294294294294294294294293293294293294295295295295295295294294294294294294294293293293292292292292292291291291291290291292292291291291291291292291292291291291290290290290290290289289290289290289289289289289289289290289289289289289288289289289289289288288288287287287288288288288289289288289288288288288288288288288287287286286287287286287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304305305304304303303303303304303303304304303303303304304304305305305306305301300305999999999999999999999999999999999999999999999296297300302306308308308308308308308308307307307307307307306306306306306305305305305304304304303303303303303303304304304304304303303303302302301300299299298298298297297297298298299299299299299299299299300300300300300300300300300300300300300300300299299298298298299300300300299299299299299299299299299299299300300299298297297297298298300299299298298298300300298298298298299299299299300301302301302302302302303304305306305305305305305305305306307306307304304303302302302304304304304303303302302302302302303301301300301302302302302302303302302302302303302302301302302301302302302301302300301301302302302302301301301301301301301301300301299302302301301302301301302302302299298299300299298299300300299299301302301300300301301301297298297297298300300300298302299299303300300302301299296297299300299299301303299302300302302302301302303303302301303303304303301302302302303304302302301301301302300301306304304304302302302302302303303304304303302302302303304303303303303302303300306306303306300304305304301302302302298300302300301300300300300300301301301302302301301301301301302302302302302302303303304303303303302303303304303303303303303303302303302302301301300300299300297301300299298298297298295300301300300299299299299299298297299298298298297300298300299297297297295297300296296297296296298296297295296296296295297297297297296297297296297296296296296296296296294295294294294293292292293292294293292292293293292293292292291290293294293294291292292293293293293293293293293293293294294293293293293293293293293292292291291292292292292292292292292293292293293292293293293293293294294294295294295295295296294294294295294294293293293294293294294294294294294294294295294294294295295295295294294294294294294294293294293294294293294294294295295295294294294294294294294294294293294294294294294295294294294294294294294294294293293293292292292292292292292291291291290290291292291292291291291292291291291291291290290290290289289289289289289289289289290289289290289290290290289289289289289289289288288288288287287287288288288288288289289289288288289288288288288288287287286286286286286287286286287287287287286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302304304304304304303304304304304304304304303304304305304306305305306308306301298301999999999999999999999999999999999999999999295297300304306307308308308308308308308308307307307306307307306306306305305305305305305305305304303303302302303303304304304304304304303303302302301300300299298299298298297297298298299299300299299299299299300299300300300300300301300300300300300300300299299300299300300300300300299298299299298299298298299299299300300299299999999999999297298299299297298299300298296297298299299298300300300300301301301302302302303303304305306305305303304304308306305305305304304304305305302304304303303302302302301303302302302302301301301302303302301302301302301302302303303303303303303302303303302302302302301302302301301302301301301301301301301300301299300302301301301302301302302302301299298297298298298298298299298299301302301301301301301301301300297299297298297299300301301300297300303299303300297297302302303301301301300301300302303302301302302302302302303303303303303302302302303303302301301301301302301300304307303303301301303301302303302303304303302303302301302302303302302303303304305305305306304304303302301301301301300300299300300300301301303302302301301300301301301301301300302301302302302301303304303303304303303302303303304304304304303303303302303302303303301303302300301299302298298297300299299299299300301301300299300296298299301299298300299298299298299296299298295295296296297296296296297296296297297297296297297298298297297297297296297296296296296296296296296294294294294293293293293292292292292293293293293293293293291290293294294295295293293294293294294294294293293293293294294293293293293293293293293291292293293291292292292293292293293293293293293293293294294293294294294294294295295295295295295294294294295295294294294293293294294294294294294294295294294294294294295295295294295294295294294294294294294293293294294294294294295295295295295294294294294294294294294294294295295295294294294294294294294294294293293293293292292292292292292292291291291290291292292292291291291292292291291291290290290290289290289289289290290289290290290290289290290290290290289289289289288289288288288288287287288287288288288288289288289288288288288288288288288287288287287286286286286287286286286287286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304304304304305304304305305305305305304303303304304305305305305307308307304303302304999999999999999999999999999999999999297298301304307308307308308308308308308308308307307307307306307307306306305305305305305305305305305304304303303304304304304305304304304304303303302301300300299299299298297298298298299300300300300300300300299299299300300300300300301301301301300300300300300301301300300300300300299299297298298299298298299299298299299298999999999999999999999999296296295296298299297999297298300300299300300300300300301301301301300301301303303302304304302303303303303305304304303303303305305301302302302303301302301301301301302301302302300301301302301301302302302301301301302303303304303302302301302302302302301301301301300301301300301300300301301300300300299300300301302300301302302301301299299298297297298298297297298298298299301302302302301302301300301298298298298299300302302299300299301302300300301302301301302301302304304301301301302302302302302301301302299303303304304302302302306302302302302302302301301303303303306304305303302302302303302302302303304303303303302303303302304303303302303305305305305303303304302302300301301302301300301301303302303305301301302301301300301301301301301301301302302301303305304303303304303303305304304304304304304304304304303305303304303302302301301302298299299299298298299299299300301301301300300297299297297301301301300299297297298298298298297296294294294297296293296296295297296297296295297295299296298297297297296297297297296296296297297296296294294295294294294294294293290293293293293293293293293293291293294295294295294293292294294294294293293293293293293294293293293292293292292291292293293293292292293292293293293293293293293293293294294294294294294294295294294295295295296294294294295295295295295294294294294294294294294294294295294294294294294295295295295295295294294294294294294294294294294294294294294295295294295295294294294294294294294294294294294294294294294294294294294294294293293293293293293292292292292292292292291291291291291292291291291292291291291291290290290290290290289289289289289289289290290290290290290290290290289289289289288289289289288288288287287288288288288288288288288288288288288288288288288288287287287286287286286286286287286286286286286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303304304304304305304305305305305305304304305305306307307307307307307307307305303303301298999999999999999999302302303303304306308308308308309309308308308308308307307307307307307307307307306306306306306305305305305304305305304304303304304304304304304304304303302302302300300299299299299299298299299300300299299300300301300300300299300301302301301301301302303302301301301299300301300299299301301301301300298299299299300300300300300299297999999999999999999999999999999297297297297298999999298299300300299299300300300300300301301300302301302301301302303303302303303303302304304304303303302304303303302302301301301301301301300300301301301302302302301300301302301301300300301300303302302300302300301301301301301299301300300300300300299299299300300300299299300299300300300300301302301300300299299297297296297298297297297298298299297299302301301301301300300302298299299299300301301299301302301300301301300303301301300301302301302301302302300301301302304302301301302302303304304305303303303302303303302303302303301302303303303303304305304303302303303303304304303303303303304303303303303304304301305305306307306305304304304303303302302301302301301301301302300301303301302301301301301302302302301301302302302302303303304303303304304303304304304304304304304305304305304304304304303305303302303301301300301298298298299297300300300300301300300300297297297297302300300298298297297298298298297297297297296295296297295294295295298296294295295295296299297298297296297296297297297297297296296297295296294294294294295294295292293295293294294293294293294294293291294294293295294293293294294293294293293293293293293294293292292292292293292293292292293292292293292292293293293293293293294293293294294294294294294294294295295295295295295295296295295295295295295295295295295294295295295295295295295294294294294294295295295295295295295294294294294294294294294295295295295295295295294294294295294294294294294294294294294294294294294294294294294294293293293293293293293293292292292292292292292292291291291291292292291292291292291291291290290290290290290289289289289290289289290290290290290290290289290289289289289288289289289288287287288288288288288288289288288289288288289288288288288288288287287287287287286286286287287286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302303303304305306306306306306306306306306307307307307307307307308309308308306304301299299297299300999999301303306307309309310309309309310309309309309308308307307308307307307307307307306307307306306306305304304304305305304305304304304305304304304304304303302302301300299299299299299298298299299300299299299300301301300300300300301302302301302302302302302302302302301301300300299300300300300300300300300299299299299299299300300299298999999999999999999999999999999999999999999999999999299300300300299299299299299299300300300300300301301302303303304303302305303304304303303303304302303302301301302302302300300301300300301300302301302302302302301301301301301301300300301300302302302302302300300300299300300300299300300300300299299299299299299298298300299298299299299301301301300300298298297297296297297297297296298299297297298299300299299299300300300302299298299302300301301301301301303301302302301304303302302301302301303301301301302300301303301301303304303303304303304305302304304302303302303303302303302301303303303303305304304303304303302303303302302303303305304303304304302306304303301302302306305305303304301300301304302301300302303301301302301300302301301301301301301301301302302302301302302302302302301303303304304304303303304304305304304304304305304303304304304305303304303301301301300298297298299298300300300301300300299299297297298298297299299299298297296297297297298297296297296295294297295294295296296297294296295296296296298297297297296297296298297297296297297297296296295295295295295294294292293293294294294294294293293294292292294295295295293294294294293293293293293293293293293293293292292292292292292292292292292292292292292292293293294293293294294293294294293294294294294295295295295295295296296295295295295295295295295295294295295295295295295295295294294294294294294294294295295295295295295295295295295294294295294295295295295295295295294294294295294294294294294294294294294294294294294294294294294293294294293293293293292292292292292292292292292292291291291292292292291291292292291291291290290290290290290290289289289289289289290290290290290290290290290290290289289288289289289289288288288288288288288288288289288289288288288288288288289288288287287287287287286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302303304305306306306307306307306307307306307307307308308309309309309309307305304303303305304304302304307310310310310310310310310310309309309309308307308308307307307307307307307307306306306306306305304304305305305305305305305304304304304304304303303302302300300299299300299299299299299299300300299300300301301300300300301301301303303302302302302301302301300300300300300299299299299301300301298298300298299299298298300300298999999999999999999999999999999999999999999999999999296300300300299299299299299298298299299299299300300301303302302304302305303303303304303305303303302301301302300301301301300299300299300301302302302302302301302300300300300300300300300301302302303303302302301302301301299298299299300298299298299299298297297296298297298298298298298299299300300299299298298298296296297297297297297298300297298298299299299299299299301300303301300300299300299299301303301303301301301300301300303302301302301303303302302302303303305301302305304305306305304305305306303303303303303303302303303302302304304304303305303302303304303302302303303303302304304305303302302306306306305302302302301304301304305301299299299300298301302303302302302302301301302302302301300301301301303302302299302303302302303303302303304304304304304303303303305304304304305305305305305305308304304302301301300301299296298299300299300300301300301300299299299299299300299298299298299297297298297299298298298297296297300297293296296296296296295296297297298298299297296296296297297298296296296298297296296298295295295295294294294294296294294293294294294294294293292292294294293293293294294293293293293293293294294294294294292291291291291291292292292291291292291292292292292293293293293294293294294293293294294294294294295295295296295296295295295295295295295295295295295295295295295295295294294295294294294294294295295295295295295296295295295294294294295294294295295294294294294294294293294294295294294294294294294294294294294294294294294294294294293293293293293292292292292292293293293292292292291292292292291291291292292291291291291290290290290290290290290290289289289290290290290290290290290290289289289289289288289289288288288288288288288288288288288288288289289289289288289288288288287287287287287286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300303304305306305306307307307307307307307307308308308308309310310310309309308306306306307308307307308310310310311311311310310310310310309309309309308308308308307307307307307307307306306305305305305305304305305305306306306305305304304303303303303303302301301300300300299299300299299299299300300300300301301301300300300301301302302303302302302302302301301300300299300298300300300299300300301300299299298298298298299300300299999999999999999999999999999999999999999999999999999298299298300299298298299299298298298297298298300300304305303303302302302302303305303303303303302301300300300299299299300300300300299299302302301301301301301301301300299299301300300300301301300302302303301302301301300298297298297297297298298299299298297297296298298297297296297297298298298298298299297298299298298298297297298299299297298297298298299299299300301300299303300300300299299299300301302305304301303302301302303303304300302304304301302301303305305304304304305305305306305305305304307303303303304303303304303303302303306305304304304305304304303302301302302302302303305307304303304303302302307306305305303303306302301300301300301299300301301304301302302302302301301302302302303302301302301302302301301302302302303302302303304304305304304303304304304304305305305304305304305303305303304303302303301299301299298299300300300299300300300299301301299299300299300299298299297298296297297298298299298297297297297297297296296294295294294295296297296296296297296296296297297298297296296296296297295295295294295295295295295295294295294294294291293294294294294293292292292293293294294293293293293293294293294294294293294292292292292291292292292292292292291292292292292292293293293293293293293293293293293294294294294295295295296295295295295295295295295295295294295295295295295294295295294294294294294294295294295295295296296296295295295295295294294295294294294294294294294294295293293295294294294294294294294294294294294294294294294294294294294294293293293292292292292292292292293293292292292292292291291291291292292292291291291291291290290290290290290289289289289289290290290289290289290290289290289289289289288288289288288288288288288288288288288288288288289289288289288288288288288287287287287287286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304305305305306306307307308307308308308308309309310309310310310310309309308308309309309309309310310311311311310311310310310310310310309309308308308307308307307307307307307306306305305305305305304304304304304304304304304304303303303303303302303303303301301300300300299299299300300300300301301300301301301301301300301301301301302302301302303301301301300300299299298298299299299299300300299300299298298298298299300300299999999999999999999999999999999999999999999999999999297298297299298299298299299299299299298298299300300304303303301300300299301300303302302302302300300299299299299300300301299299299301301301303302301300302302301300300301301301300300301301301301301301300302300300300298298296297297296298298298299297297297297296296298297297296297297297298297298298297298297297297298297297297298299299300300300297298298301300300300298299301299299299300300300300300301304302302303302302301303304303303302302303303301301301304305303303303304305305305306306306307307306302302303303303303303305304303303304304304305307305304305303303302302302302303303303305305304305304302305306305304303304307305306306301300300300300300300304301301302302302302302302302303303302301302302303301302302302303304303303303303304305304304303304303304304304303304305304304305306305305303305304303301300301300300299299300299299299301302301300301302300300300300299299298300299299296297298299299298297297299298300298299295296297297295294294297297297297295298297299295297298299299298297297295297296295294294296295295295295295294292295295296293294294294293293293291294292292293292293293293293292293294294294294294293294294293293293292293292292292292291292292292293293293293293293293293293293293293293293293293294294295295295295296296295295295295295295295296295295295295295295294295295295294295295295294294295295296295296296296295295295295295294294295294295294293294294293294294293294294293294294294294294293294294293293293293293293293293293293293293293293292292292292292292292293293292292292292292292291291291292292292292291291291291289290289289289290289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288289289289289288289288287287287287287287287286286286286286286285286286286286285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303304304305306306306307307307308309310310309310310310311311311311310310310310310309308309309309309310311312311311310310310310310310310309309308308308308307307307306306306306306305304304303304304304304303303303303303303303304303303303303303303303303302302302301301301300299300299300300300301301301301301301301301301301301301301302302302302302301301301301300300300299299300299299298297299298299299299298298299299300300999999999999999999999999999999999999999999999999999999297298298298297299298298299299299299300300301301301299300300300300300299301302302302301300301300299300300300299300301302301300301301302302302300301300301302300301300300300300300300300300301300300299298299299299298299298297297298299298299299298297297297297298295298298296296297297298297298296297296297296296295297297298299298300299300299299299299300300299300300298300300299299299300299299301304305304304300303302304302303303303303303301303302301302301304303303301303304305305305306307306306307306304302301304304304305304304304304304304304308307306306304305304302303303303303305303304305306306304304308306305304306306304306306306302300300300301303300302301302302303302302302303303303302301301302303303302303303303303304304304303303303304303303303303303304304304303303304304305304305305305303305304304302302301300300300300300299299298300300301302302301301301301300300299299300298299299297298297298298297298296302299297296295297297297296295296297296296296295299298298296298296297296297297297296296296296295295296295296296296296295292295294295296296294294293294293294293292293293294294293293293294294294294294294294294294295294294294293293293293293292292292292293293293293293293293293293293293293293293293293293294294295296295296295296295295295295295295296295295295295295294295294294294295294295295295295295295295295296296296296296296295296295295294294294294293294293293294293294293293294294294294294294294294294294294293293293293293293293293293293293293292292292292292292292292293292292292292291291292292291292292292292292291291290291289289289289289289289289289289289289289289289289289289289289289290290289289289289288288288288288288288288288288288288288289289289289288288288288287287287287287286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304304304306306306306306307307308310310310311311311311311311311311311311311311310309308308309309310310311312311310310310310310310310309309309309309308308308307306306306306306305305304303303302303304303303304303302303304303304303303303303303303303303303303302302302301301300300299299300301301301301302301301301301301301301301301301302301302302301301301301300300300300299298297297297298299298300300299299298298299300299999999999999999999999999999999999999999999999999999293297296297298298298299299299300299300300300301299299298297300301300300300301302302302301301301301300300300300300299300300300301302302303300300301301301302301301300300299300299299300300300300299300299298299299299299299298297298298298297298299298296297297296296298298297296295296297297297296296298297295295295295296297297297298299298295299299299299300301299300298299300300299299300298299301303301304305300303303303303300304306303302303302303301302302301302299301300301304307304305306306306306306306306305304304304304304305304305305305305305305308306306306306304304303303303304305305304305306306304304303302304305308302306300301302300301300301301301300300300301302301302302302303303303302302302303303303303303303303303304304304304304303304304304304304303302302303305302304303306306306306305304304305304302302302301300300301300299299299301299302302300300300301301301300299298301300301298298297296297296296299298302300295294296298297298297296296296297297295297299298296296298297298297296296297296295295295295296295296296296296296296296294294295296295294294294294293294294292293293293294294294294293294293294294294294294294294294293293293293293294293292292292292293293293293293293293293293293293293293293293293294294294295295295294294295296296296295295295295296295295295294295295294295294294295294295295296296295295295296296296296297296296295295294294294294293294294295295294294293293294294294294294294293294294294293293293293293293293293293293292293293293293293293292292292292292292292292293292292292292292292291292292292291291291290290289289289289289289289289289289289289289289290289289289290289289290290289289289289289289288288288288288288288288288288289289289289289289288288288287287287287287286286286286286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305305306306307307308308309309310310310311311311311311310310311311311311309309309309310310310311311312311310310310310310309310310309309309308308308308306306306305305305305305304303302303303303303304304303303304304304303303303302303303303304303303303302302302301301301301301301301301301301302302301301301301301300300300301301301301302302302302302301300301300300299298298298299299299300299298298299298298300299299999999999999999999999999999999999999999999999999999295297295296299300299298298298299300301300300301299299299299301300300300300300300302301300300300300300300299300299300300301300301302302304303302302301302302301301301301300300301301300302302300299299299299300300300299298298299299298297297298298298298298297297296298298297295296296296296296297296297297296295295295296297297297297297298297298299298299298298300299297299299300299300300298299301306305300300302304302300301301303303303302303302303301301301303301299301301301305306305305306305306308307307305305304305305305305306305305305305305304306308307306306306305304304303304303303305305305306305304303303304306305304302300301302303302302302303303302302301301302303301303302303302303302302303304304304304304303303301302303304304305305303304305304303303302302303303303303302304304306305305304303303303304303302302301301300301300299299299300301301300301301300301300300300299299301299298298300297297297296298298296299297299298297296297298299296299296296297298296297298298297297300299298298297297294295296295296295296295296295296295294296296295296296293293293294294294295294294295293293294295294293294294294294294294294294294294295293293293293293293294293293293293292293293293293293293292292292293293293293294293294295294295295294295295295295296295295295295295295295295295294294294295295295295295295296296296296296295295296296296296296296296295295294294293294294293294294295293294294294294294293293294293293293293293293292292292292292292292293292292292292293293292292292292292292292292292292292292292292292291292291292292291291291291291291290289289289289289289289290290289289289289289290290289289289289289289289289289289289289289288288288288288288288288288288289289289289289288288287287287287287286286286286286286286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304306305306307308308308308309309310310310311311311311310310311311312311311311310310311311311312312312311311311310310310310309309309309309309308308307306306305305306305306305304304303303303303303303303303304303303303303303302302301302303303302302303303302302302301302302301301301302302302301302301302302300300301301301301301301301301302302304302302301300300299300300300299301301300299299298298297298298299299298999999999999999999999999999999999999999999999999999999296297299300300299300297298299299299300301301299299300300300301300300299299300300301299300300300297300299300299299300301301302302304303303303303300303303301300300301300301301300302302302301301298298300300301300300300299299299297297298298298298297297298299299296295298297296296296296296297296298299297296297296297297297297298295295296299300296298299298299300299298300300302302300299301300299302301301302305301300303303303301302302301301301299302300300299300302301301305305305306305305307307307307305304305304304304303304305305305305305304304305306306305305305305304304304303303305305306306305303303303304304305303301303303301302303302302303304303302302302302302303302303304303302302303304304304304304304304304303303304305305305305305305306304303303302302302302304302303302304304304305304304303304304303302302302301301300300299298298300301301300300300300300301300299299299299298300298300297297296296297299297298297298298296297297299298295297297297298297297297296298297298299298297298297296296297298297295294297296296296297295294296294296295295295295293294294294294295294293293293293294294294294293294294294294294294294295295294294292292293293293294293293293293293293293293293293292292292293293293293293294294294294295294295295295295295295295294295295295295294295295294294294294295295295295295295295295295296295295295295295296296295295294294293293293294293293294294294294294294293294294294294294293293293293292292292292292292292292292292292292292292292293292292292292292292291292292292292292292292291292292292292292291291291291290290289290289289289289289289289289290289289289290289289289289289289290289289289289289289289289289288288288288289288288289288289289289289288288288287287287287286286286286286286286286286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303305305306306307308308308308308309310310310311310311310310311311312312312312311312312312313313313313311311311311310310310310309309309309308308307306306305305305305304304304304304304303303303302303302303303303303302303302302302302303303303303303303303303303303303303303302302302302302302302302301302302301302302302302301302301301301301301302302302302301301300300301299300300300300299299299297297298297299298297999999999999999999999999999999999999999999999999999999295296299300299300299299298299299299301300300299299301301300299299300300300300301301300299298298297298298298299298299299301303303303303303303302302302302301300301301300301302300300303302303301299299300301301300301301300299298298298298299299299297297299297297298298297296295296296297297298298298298299298298296297296298298298295296299300299298298298298299299299299300300301302300301302304302300300300301302301299303304300301301300300299300299302303299300301301301301304306305307307308308308307308306306305305304304304305306306305305305304304305305307305306305305305305304303303305305305305304303305305304305304303302305305303302302302302302303304302302302302303303303303304304303303304305305305305304304304304304304304305305306307305307305304304304303303303302302303303303303304304305304304304304304302302302301301301300300299299298299300300300300300300300299299299299298300297298298302297296296297298302297298299299296298298297297298296298297298298297298298298299296299299298298297297297296297298297296295297296296296298295295296295295295295295295295293294294295295294292292293294295294295293293293293293294295294294295296295294293293294294294293293293293292293293293293293293292292292293293293293293293293294294294294295294295294295295295295295295295295294294294295295294294295295296296295295295295295296296296295295295296295295295294294293293293293293293294294294294294294294294294293293293293293293292292291291292292292292292292291292292292292292292293292292292292291291291292292292292292292292292292292292292291291291290291289290289289289289289289289290289290289289290290289289289289289289289289289289289289289289289289289288289289289288288288289289289289288288288288287287287287286286286286286286286286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304304304305306307308307308308308310310310310310310310311311311312312312311311311312313313313313312312312311310310310310310310309308308307308307306305305305305306305304304304304303302302302303303303303303302303302302302302302302302303302303303303304303303302302302303302302302302301302302302302301301302301301301302301301301301302301301301301301302300298299300300298298298299299298298297297298300299299300300300999999999999999999999999999999999999999999999999999999295297299300301301300300300300300301301301300301302300300299300299300300300300300300298298298297298298298299297299300300302303303303302302301302302302302302301301301302301302301302301301300300300300300299300301301300298299298298298300299298297297297297297299298298296295296296297297298299299297300298298298297298299300299296296299299298298299298298299298298299300300301301301301303303299301301301301301301300300302303301302303300301302300300301299301300301302302303304305306307307308309308307307307307304304306305305307306305305305304305306306306305307305306306305305305306307305305304303304304305303306305304304305305303301302302303303303304304303304303303303303303303303304304305305305305305304304304304303305305305305306308307305305305305304303302303303302302302303303304303304304304304304304303302301301301301301300300300299299300299300300300300299299299299300299298296297297300301298298302303300299299301298297303299298298300298298298298297298297297299299297298298298299297297296296297296296296295297296296296296298296296296296295295295296295295295296296296294292293294293294294294294293292293293294295294294294295295293293294294294293294293294293293293293292293293293293292292293293293293293293293293294294294294294294294294295295295295295294294294294294294295295295295296296296296295295296296295296296295295295295295295293293293293293293292292293293294294293294294293294293293293293293292292292292292292292292292292292292291292292292292292293292292292292292291291291292292292292292292292292292292292292291291290290291290290290290289289289289289289289289289290289289289289289289289289289289289289289289289289289289289288289289289289289289289289288288288288288288288287287287287287287286286286286286286286286286286285286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302302304307308308308308308309309311311311310310311311311312312312312312312312313314314314313312312312312311311310310310309309308308307307307306305305305305305305304303303304303302302303303303303302302302302302302302302302302302303303303303303304303302302303303303303303302302302302301301302302302301302301302301301301301301301301300300300300299300299299298297297298299299297298297298298298300301301300300999999999999999999999999999999999999999999999999999999999999296299300301301301300301301300302301300299300301300300301298299299298299299299300299298299298298298298298298299300301302300303303303303303303303302302302302302302302303302302302301301301300300299300299300300300300299298298298299299298296297297297297298299298299297296295296296297298299299298298297297297298296299299297296296297298298299299299298298298299300299300302300299301299300300301300300301302301300305302300301304303300301302300300301300301300301302302302304304306306306306309307307307307306304306307307307307307305305305305307307306306305305306306306305306308306306305305305304304302306307306304305304305304302303303303304304304304304304303303303304304304304304305305305306305305305305305305305304306306306307307307308304305305305304303303303304303303303303303304304304304304304303303302302301301301301301301300299299299300299299300300300299297298298299298301300297298299300298300299296297298298298301299298299299298299299299297297297299297296298298297298297298298297298297298297296296297297296295296296296296297295294296295295294295293293293295295295294292293293293294293294294294293294295294294294294294295295294293294294294294293293294293293293293293293293293292292293293293293293293293293294294294294294294294294295295295295295295295294294294294295295295295295296296296296296296296296295295295295295294295294294293293293293293292293293292293293293293294293293293293293293293292292292292292292292292292292292292292291292292292292293292292293293293292291292292292292292292292292292292292292292292291291291291291290290289289289289289289289290290290290290290289290290290290290290289289289289289289289289289289288288289289289289289289289289288288288288288287287287287287287286286286286286286286286286286285286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300303306307307307308308309309310310311311311311310310311311310311312312313313313313313313312312312312311311310310309308308308307307307306306306305305304305304303303304304304303303304304303302302302302302303302302303303303302302302302303305304304304304304303303302303302302302303303302302302303303302301302301301301301301300300300300300300299298298300301299299298298298298298298299299300302301300298299999999999999999999999999999999999999999999999999999999999999293298299300301300301299300300301302300299300301299300300298298297298298298299298298298299299298298298299298300301299302303302302303303303304303302302302302302302301302301301301302300300301300299300299300301300300299299298299299298298297297298298296298298298298299296297294296297300297298298297296297299296297299299296296296301298299298299299298298298300300298300300298299301301300301301301301301300300302302301300301302305298302304300301301299301300302302302303303305306306306308306307308308306306305307306307305308308307306306306307309306307307306306306308308308307306305305306306306305308307305304304305305304304303303302303304304304305305305304303303304304304305304305306306306306305305306305305306306306306308306306305303304305305305305304303304303304304304303303304304305304305304303303303302301302301302302301300300300299300299300300300300299299299299299300301301299297299298299298298297298298297300299299298299299298299298298298297297298298296298298298299298300299298298296297297296297296297296294297297296297297297297295296297295293293293295294295292293292293294294294294294295295295293294293294294294294295295294294294294294294293293293293293293293293292293293293293293293293293293293293294294294294295293295294294295295295295295295295294295294294295295295295296295296296296296295295295295295295295294294294294294293293292293293292292292292293293293293294294293293293293293292292292292292292292293292292292292292292292292292292293293293293293292292292292292292292292292293292292292292292292292292291291291290290290290289289289289289289289290290289290289290289289289289290289290290289289289289289289289289288288288288289288288288288288288288288288288287287287287286286286286286286286286286286286286285286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301305306306306307308308309309310311310310310310311311310309310311312312313313313312312312313312312311311311309308308308308307307307306306305305304305304303303303303304303303304303303303302301301301302303303303303303303302303303303304305305305305305304304303303303302302302302302303303303303303302301301300301301300301301301300300300300298299299300299301301299299298298298298298299300301301300299297999999999999999999999999999999999999999999999999999999999999999297298300300299299298300299301301301301299301300300301300299299298298297297298297299298299298298297298298299299299301301301302303303303303302302302302302302302302302301301300300299301301300299299300300300300301300300299300300297300298296297298299299298298299298299297299297299298298298298297298298298297297299299297296296297298298298300299298300298299299299299299299301301301302303302302301301301301301302301301299305302300302302300301298299301300302301303303303305305307307306306305307306305305305307308308307309306308307305307306308306307308306308310310307305305305307307307308308308308304303305305305305305305304304304304304304305305305305304304304304304304304304305305306306305305306306306306305305305306306305304306304304304305304303303303304304304304304304304304305304304305304303303303303302302301302302301301301301302300299300299300299298298299298299300300300298298298300301299299298298298298299298300299298299299297297298298297298298298297299296301298300299300299298297296298297296297296295295298297298298298298297295295296295294296295296295295296295292293293293293293295295295295295293293294296295295294295295294294294294294293293294293294294293293293293293293293293293293293294292294294294294294295294295295295294295295295295295295295295294295295295296295295295295296296296296295295295295295294294294294293294293292292292292292293292292293293293293293293293293293293293292292292292292292292292292291292292292292292292292292292292293293293292292292292292291291292292292292292292292292292292291291291291290290290290290289290289290289290289289289289290290290289290290290290289289289289289289289289289289288289288288288288288288288288288288288287287287287287286286286286286286286286286286286286285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302304305305306307307307308309309309309310310310310309309310310311312312313312312313313313313312310311310310308307307307308307307307305305305305304304303302303303304303304303304303302302300301302302302303303303303303303302302302303304304304304304304304304304303303303303303303304303303303303303302301301301301301301300300299300300299298297300299297300301300300300298298300299300299299300299298297999999999999999999999999999999999999999999999999999999999999299298299300301299300300301301301300301300301300300300300300299299297298296296297298298299298298299298297297300299300302300302302302302302302302302302300301300301301300300300300301301301301300300300301301302302301300300300299298298298297298297299299299298297298298297300300299298298298299298298299299300300299299298297296297297298299299300299298299301299300300299299300301302301302303302301301301301300301301301300300301300300302300300301298300301302301302302302303304307307306304306306306306307306306307308309308309309309310307305307307308308307308309310309306306307308307306307308309309309305306306304304305306306305304305305305306306306306306305305305305304305305306305305305305305305305306306306306305305305306305305304304305304304304303303304304303304304304305304305305305304305305303303303303301302302302301301301300301301300300298299298298298298297296299299299300299301298300301300299299296297298299297299300299298298298297297297297298298297297298297299298298298298298298298298298296296297297296296297297298298298298298296297297296295296296296295296296296297292293294293294295295295295293293294295295295295294294295294294294294294293294293294294294293293293293293293293293294294294294293294294295295295295295295295295295295294295295295295295294295295295295296295295295295295296295295295294295295295294294294294293293292292292292292292292292292293292292293293293293293293292292292292292292291292292292292291291291292292292292291292292292292292292292292292292292291291292293292292292292292292293292291291291291290290290290290290289289290289290289290289289289289289290290290290289289289289289289289289289289289288288289289289289288288288288288288288288287287286286286286286286286286286286286285285285286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301303304305305306306307308308308309309310310309308308309310311312312312312312312312312311311310310310309309308309309309307307307306305305304304304305303303304305305304304304303303301301301301302302302302302303303303302302302304303303304304304304304304304303303303303303304304303303303303303302302302301301301300300299300299300299298299298298299300300301301301300298299300300300300299298297297999999999999999999999999999999999999999999999999999999999999298299299298300300301301302301301301301301301301300299300298298298297296295297298298298298297299299298298300300301300301300301302303302304303302301302302300301299301299300300300301302301302300300300301301303303301300300299298297298298299297297297299300299298299299299299300300299297298298298299298299299299299299298297297297297299299299298300300299299301302300301300300301302301302302302302301302300301301302301299299300299301300300300299299301302302301301301302302303306305305305306306307307306306307307307307308309309308308309304305307309308308308308305308308307306306308305306306308308307306305305304305307307307306305306306307306306306306306306305306305306305305305305305305305305305305306305304305305305305305305306304304304304304304303303304304304304305305305305305305305304304304303302302302303303302302301301301299300300300300299298298297299298298297298298298300300301299299299301298300298298297298299298300300298298298296297297297298297297298297296298299299298297296298299299298298297298297297297297297298298298298298298297296296297296296296295296296296295294294295294295293295294295294293294294295295295295296295295295294294294293294294294293293293293293293293293294294293294294294293294294294295295294295295295295295295295295295295295295294295295295295296295295295295295295295295295295295295294294294294293293292292291292291292292292292292292292292292292292293293293292292292292292292292292291291291291291291292292292292292292292292292292293293292292292292292292292292292292292292292292292292291291291291290290290290290290290290290290290290290290289290290290290290289290289289289289289289289289289289289289289289289289288288288288288288288288288288287287286286286286286286286286286285285286285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303304305305305307307307308308308310310309308308309310311311311311312311311311311310310310309309310310309309309309308307308307306306306306306305306305304303303303302303301303302302300300302301302302301302303303303303303304304304304304305304305304304304304304304304303303304304302303303302302302301300300300300301301301301300299299299300300301301302301301300300300301301300299299297297999999999999999999999999999999999999999999999999999999999999999297299299299300299300301302302302301301300301301300299299298297298295295297296298298297295295297297297297300298300301300299301301301303303302300301301300301301301300300300300299300302302300302302301302301302302301301300299297297298298298298298298299298300299299299299299300300297297297298298297298299299299298299300299297297297298300300299300300301302301302301301302303303302303302302302302304301301300301301299300299298299300299300300299299300302303302304300300302302305305305306307306306308307307307307308308308310309307307307306306308308307307307305307308307306305306307307305306307305304306307306307307308308307307307307307308308308307308307306307307307306305306305305305305306306306306305306305304305305305305303303304303303304303304304304304305305306306305305305306305305306304304303303303303303303303301302302301300300300300299298299298298298299298298298298301299299300300299300299298299298298299299300301298300300299298297298297298297296297296297296296298297298296297298298299299298298297297295296295297297297299299299299297296296295296296295296296296296294295295295295294293293293294294293293295295295295295295295295295294294294294294293293293293293293293293294293293293294294294294294294295295295295294295295295295295295294295295295295294294295295295295295295295295295295295295295295295294294294295294293293292292291291291291292292292292291292291292292292292292292292292292292291292291291291291291292292292291292292292292292292292292291292292292292292292292292292292291292292292292292292292292291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290289290289289289289289289289289289288288288288288288288288288288287287286286286286286286286286286286286285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304305306306307307307308308308309309309308308309309310310311310311311311311311311311310309310310309309310309309309308307306306306306305306305305304303303301302303302302302301300300301301301301301301302302303304304304304304305305304304305305304304304304304303303304303304303303302303302302302301301300300300301300301301300299298299299299301301302301300301299301301302301300300298298999999999999999999999999999999999999999999999999999999999999295300299299300298299299301301302300301300300299299299299298297298298296297297298297296295296296296296295295297302302300301301302303302303303302301301300300300301301300301301301300300302302302302301300301300301301301301299298297297299298298297298299298298298299298299299299298297297297297297298297298299299299300300298299296296297298298298298299300300301301301301301301301301302301302302303302302301301302300300301300299299300300299300301299301301302301304303301301301303306305305306305305305306306307307307307308308309307306305307306307308308307306305305306306306306307307307306305305306306306305305307307308307307307306308307307308308308306307308307306307307305304306305305305306305305306306304304304304304305304304306302303303303304304304303304304305305304305305305306305305305305304303304303303303303303303302301301301301302300300299300299298298298298298298298299299299299299299299299298299298298299299299300300300299299298298298298297297297297297297297297298298297298297297296296298298297298297296296296295297297297297297298299297296296296295297297297296295294297296295296295294294294295295294293294295295295295295296297295295296295294294294293293293293294293293293293293294294294294294294295294295295294295294294294295294295295295295295294295295294294294295295295295295294294294294294295295294294293294294293293292292291291291291291291291292292292291291292292292291292292292292292292292292291292291291291292292292292292292292292292293292292292293292292292292292292292292292292292292292292292292292292291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289288288288288288288288288288288288287286286286286286286286286286286286286285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305306307308307307308307307308307309308308309309310310310311311311311310310310310310310309309310309308308308308308306304306305306305306305305304304303302302302302301302300300300301301302301301301302303303304304304305305305305305305305305305305304304304304304303303304302302302302302302302302301299300301300300300300299299299298299299300301301302301298298300301300300300299297297999999999999999999999999999999999999999999999999999999999999298299299299299298298298299300300300300299299299298299296296298298296296297296296296293294296297298299298296298298300300301301302303302302301300301301300300300301300299300301301301301302300301300301300300300300300300300298297296297297298299297297298298298297301295299299297297298298297298297296297299300301299300298300299298296298299299299299299301301301303301301302301300301302302302303303303301301301301301302301302300300301301299300300302300302300302303302300301303304306305306306306305304305306308307306308309308308308309308309308306307307307306305306307307306307308307307307306307306306305304305305307307306307307308308308307307307307307308308308308307307306306305306306306306305305306306304303302304306306304303303303302302303303303303304303304304304304305305305305305306306305303303303302303303302303303302301301301301301300300300299299299298298298299299299298298298300299298298302301302298297297299299299299299299299298299299298298296297297297296298296296298298297298295295296297299297297296297297297298297297297297299299298299297296296296297297297296296296294296295296295295295295294293294294295295294294295295295295295295295295294294294294294294294294294294294293294294294294294294294294294295295295295295294294294295295295295295295295295295295295295295295295294294294294294294294294294294294293293293293292292292292292292291291291291292291291291291292292292292292292292292292292292292291292291291292292292292292292292292292292292291292292292292292292292292292292292293292292292292292292292292292291291291291290290290290290290290290290290290290290290290290289290290290290290290290290290290290289289289289289289289289289288288288288288288288288288287287287287286286286286286286285285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306308307307308307307307308310309308309310311310310310310310311310310310310309309309309310309309309309308308307305306306306306306306304304304305302302302302301301301300300300301301301301302302303304304304305305304305305305305306306305305304304304304304304304303302303302303301301301301301301300300300300300300300300299298298298300301301303299299300299300300300300300299298999999999999999999999999999999999999999999999999999999999298299299299298299298298297300299300300300298298299297296296297297297296294296296296296295294294298298294297299298300299300300301301301301301301301300301302301300301301301300300300301301300300300299300299300301300300300298298298297297298297298298298298298298298297299298297297299298296297299299297298299300301299300301300300298298299300299299299300301302302301301300301301302302302302302303303302302300301301302303302301302301303301301299302304305301300305302302301301303304304305306306305304305305306305307308309309308308307309309308307307307306306305306307308308307307307308307307308308307305305305306306306307307308307308308309309308308308308307308308308308307306305305307307306306305305307307305304302304305306304303303303302302302303303303303303304304304305305306305306305306306305304303303303303303304303302302301301302301300300301300300301299298298297298298299297299298298299298298300304301299298298298297299299299298298298299298298297296297297297297296294297296298297296295295296299299297298296296297297297298298295299299299299298297297296297297297297295296295296296296296296295295295295295294295295296296296296296297296296296295295294295295295295294294294294294294294294294295295295295295295295295295295295295294295295294295294294295295295294294295294294294295294294294294294293294294293294293293293292292292292292292292291292291291291291291291291291291291292292292292292292292292292292292292292292292291292292292292292292292292292292292292292292292292292292292292292292292292292292291291292291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289288288288288288288288288288288288288288288288288287287287286286286286285285285285285285285285285286285286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306306307307307307307309310310309309309309310309309310310311311311310311310309309309310309309309309308309309308308307307306306305305304303303303303303303302303302302301301301302302301301302302303304304304305305305305305306306306306306305305304304304304304304304304304303302302301301301301301301300300300300300299300298297297298300301302303302301300300300300999299299299297999999999999999999999999999999999999999999999999999999999298299299298297298298297298299300300300300299298298296297297297296297295295297296297295295294292297298297298299300299299300300300301301300300302303300301301300300301301301301300299301301301301299300300301301301300300299298299298298298298298298300298299299298298298298299297298300300299296300300300298299299300300299301300301298298299300299300300300301302302301301300301302303303303302303303302301302301301301304305303302302302298303299301303305305302300304301302302303304304304305305305305304305304306307306308309308308310309309309307306307305306306306307306309308307307307308307308309308308306306307308307307307308308308308308309308309308308309308308309308307308307308307308307308307306307306305305304303303303302302303303303302302303302302302303304304303304305305306305306306306306305305304303304303303304304302302301301301301301301301301301300300299299298298298298298299299298299298298303303303297298299298299299299299298299299299298297297297298297298297295295295296297297295297295297299299297297298297296298297298296300300300300300299297297297296297297295294295295296296296296296295295295295294295295295296296296297297296297296295295295295295295295295295295294294294294294295295295295294295295295295295294295295294294295295295294294294295295295295295295294295294294294294294294294294294293294294293293293293293293293292292292292291291291291291291291291291291291291292292292292292292292293292292291291291292292292292292292292292292291292292292292292292292292292292292291292292292291291291291291291291291291291291290291290290290290290290290290290290290290290290290290290290290290290290290290290290290289289288288288288288289289289288288288288288288288288287287287287286286286286286285285285285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305305306307308308309310309308308310310309310311311312312313311311310310310309309308308308308308308308308307308305306305305304305305304305303304303303303302302302302303303302302301302302303303304304304305305305305306306306306306306306305305305305304304305304305303302301302302302301302301301300300300300300300298297298298299301302303302301300300300299999999300298299296999999999999999999999999999999999999999999999999999999297297297296297298296297298299300300300300299298298296298297296297297297296296296296295295297297297298298299299300300299300300300299299301301302301301300301300301301300300300300301301301301300298300300301301300299299299300298298298299298298299299298299299299298299300299299300300300300299297297297297298298299299300302302300300298300299300300301301302303303302302302302302303303303303305304303302302303305305306304304301302300302302300303303305304302303302301301301303303304304305305305305305305305306306306308308308308310309307308306307306306306306306307307308308306307307307308308308308308306306307307307307307308308308310308309308308308309310309308308309309309309308308307308308308307307306304305305305303301301302303302303302302303302302302303303304302304304305305305305305306306305305304304304303304304304302302302301302302301300301301301301299300300297298299298297299298298296300302302300301299298299298299299300300299300299299298297297298297298297296296295297297298298298298298298299299297298299298296298297297298300300300299300299299297298298297297297297296296297296296297296296296296296296294295295296296296297294296297297296296296296295296296295296295295295295295295295295295295295295295295295295295295295294295295295295295294295295295295295295294294295295295294294294294294294294293293294293293293293293293292292292292292292291291291291291291291291291291291291291292292292291292292291291291291291292292292292292291292292291292292292292292292292292292292292292291291292292291291291291291291291291292292291291291290290290290290290290290290290290290290290290290290290290290290290290290290290289289289288288288288288288288288288288288288288288288288287287287287286286286286285285285285285285285285285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306303303305307308309310309308308309310310309312312313312311312311310309308308308308308307307307308308308306307307306306306305306306305304305304304303303303303302303303303303302302302302303303304304304304305305305306306306306306306305305305305304304304304304305303304303302302302301301301301300300300300300298297297298297298300301301301300299298299298999999298296295296999999999999999999999999999999999999999999999999296298299298299299302301301297300301301300299299298298298296297298297297298297296297297297293296298298297298299300298300300299300300301301301300299300301301300301300300300300299300299300300299299299299300300300300300299299299300298299299299299298299299299299299299299300301300301301301301300298297298298299299299301300300301300300301300301300301301301301302303303302302302302302302303303303302302302303301302307306304304302299301302302302304304305302300301302302302301301303304303304305305305305305306306306307307308308309310310308307307307307308307306307308308308307308307308308309309308309309307307307307307307308309308309308309309308308309308308309309309309310308309309308309308308310310309308308306307305304303301302301303303303301302302302302305303304303304304304305305305305305306305304305304304305304305304303303302302302301302302301301301301300300301300300299299299297298298296296300301301302298299299300300299300300300300299299299298297298297298297297297296297298298296296298298298298298297298297299300298299298300298300300299300300300299299299299299299299298296296297297297297297297297297296296296296295295296296296295297297297296296296295295296296295296296295295295296295295295295295295295295295295295295294295294294294295295295295295295295295295295294294294294294294294294294294294294294294294293293293293293293293293292292292292292292291291291291291291291291291291291291292291291291291291291291291291292291292292292292292292292292292292292292292292292292292292291291291291291291291291291291291292292292292291291290290290290290290290290290290290290290291291291290290290290290290290290290289289289289288289288288288288288288288288288288288288288288287287287286286286286286286286286285285285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302304305307308309310309309309310310311313313313313313311310309308307307307307306305307306307307306306307305305305305305306303304304303303303304304303304303302304302303302302302303303303304304304304304305305305305305305305306305306306306305304305305304305304303303302302302302302302301300300299299299297297297297297299298297298299299298298299300999999999298297999999999999999999999999999999999999999999298298297297300300300301301301301300296298300300300299299298296297297298298297298298298298297297296295297296296297297298298300300301300300300301301301300300301301300300300299300300299299299299298298298299299299299299299299299298298299299298298300299299299299299299299299299300300300300301300301300300297297298298299300301301300301301302300300301301300302301302303303304302302302302302302303304301301303301303302302307307305305306303302302303302303304306306306304302302302302302302304304303304305305305305306305306307307307308309307309308307307307307309310308307307308308309308310309309309309310310309310309308308308308308308309308308308309308308308308309310310310310310310309308309309310310309309310309308306308306305304303303302302303303303302302303302303305303306304304304304305306305305304305304305305304304305305305304304304304303303302301301301301302301300301300300300300302301298298298297299301303302300300300299300300300301299300300300299299298298297298297297296296295295298297297297297298299298295297297298300300298300299300300300300300300301300299299299300299296296296297297298298297297296298297297296295296296295296295296295296296296296296296296296296295295296296296295295295296296296295295295295295295296295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294293293293293293292292292293293292292292291291292291291291291291291291291291291291291291291291292291291291291291291291291291292292292292292292292292292292292291292292291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289288288288288288288288288288288288288288288287287287287286286286286286286286285285285285285285285285286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303303306309309310310309309310310311313313313313312309309308307305306306305304305306305306306305306306306305305304304304304303303303302302303302302302302303302302302301302301303303303303303303303304304305304305304304304305305305305305305305304304305304304303304303302301302302302301301301299299297297298297296298299297298297298298301298299296999999999999999999999999999999999999999999999999999999297297298298299300301301301300299300297296298300300301299298296296297297296297298298299297298298298297296294298296294298299300300299299299299298301300299299300300300299299299299300299298299299299298298298299299298298298299299298298298299297298298298298299299299298298299299299300301301300300300301299298297298299299300300300300300300300300299300301301301302302302303303304302302302302302304303303302301301300301301305307308305303303302302302302303303303306308306302304302302303304305305305303304304305305305305305305307306308308308308309308307307308308309309309308308309309310309310310309309310310310309310308309309308309309308309309308308308309308309309309310310310309310309309309309310310310309309308308307307307306306303303303303303303303303303303303302303303304304304304305305306306305305304305305305305304304305305305304304304303303302301301301301301301299300301300300300300302301299298298301301302303301301300299300299300301300301300300300300299298299298298297297296296296296297297295295294297297299296297298298298298300299299300299301300300301301300300300299299298297297297297297298298297298297298296297296296295296295295296296296296296296297297296296296295295295295295296295296296296296295295295295296295295295296295295295295295295295295295295295295295295295295295295294294294294293294294294294294293293294293293293293292293293293293293292292292292292291291291291291291291291291291291291291291291291291290291291291291291291291291291292292292291292291291291292292292291291291291291291291291290291291292292291291291291291291291290291290290290290290290290290290290290290290290290290290290290289289289289289289289289289288288288288288288288288288288288288288288288287287287287286286286286286286286285285285285285285285285285285285285286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303304306307309310310309309309309310312313313311310309308307306306306305305305305303303304306306306306306306306305306304305305304305303304303303302305304302302303302301301303303303303303303303303303303304304303303304304303303303304304303303303304303303303303303303303301301301301300300299300298297296296296295295295295297298297298299295300298297999999999999999999999999999999999999999999999999296297298299299301300299298300298297298300296299299300300299297296298298296297296298297298298299299298298297296294296298300300298299297299299299299299299299299300299299299299299299298298298299298299299299299300299298298298298298298298298298298298298297298299299299298299299300300301301301300299300301298298298299300300302301301300300300301300300302302301302302303303303303304303303301304304304304303302302301300301301305305307304305303302301302302303304303305304305304302303303304305306306305305304304305305305305305305307307308307308308308308306307308309310309308308309310309308308310310309309310310310310309309310309309309309309309309310309309309308309310310311310310310310310309310310311309309309308308307307307306305304304304304304303304304303303303303303305304305304304304305305306306305305305306306306305304304304305304305304304304303302302302300301301301300300301301300301301300300300299299300303303303302302301300300301300300300301300300300300300298298299297298296299296296296296297294294294297297295297297298298299299300299299299300301301300299299300300300298297299297298297297298297298297297297297297297296295295294295296296295295295295295295295295295295295295296295295295295295296296295295295295295295295295295295295295295295295295295295295295294294294295294294295294294294294294294294293294293293293293293293292293292293293293293292292292292292292291291291291291291291291291291291290291291291292291291291291291290291292291292292292292292291291291291291291292291291291291290291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290289289289289289289289288288288288288288288288288288288288288288288287287287287287286286286286286286285285285285285285285285286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305306307309310311311310310310311311311311309309309307307306307305305305305304304305305306305305305305306305306307308305305305305305304304303304303303302302302302301302302302303303303303302303303303304304302302302304304303302303303303303303303303303303303302302302301300300300300299299299298296296296295295296294295295294295295296299299298294999999999999999999999999999999999999999999999999999296296297298298297297295296296296298299298297298299299297298298298298298297297297297298298299299297295297298297297296298297297298298298299299299300299299299299299299298299299299298299298297298297297298298298298298297298298298298298298298297298297297299299299299299299299299298300299299300299300300299298299300300300300300300300301301301301302302302302302302303303304303303304303302302303305303303302302302301301304304305304303304302303302303302303302303305304303303303304303304305306306306306306305305305304305305306306306307308307307309308307306307307310309308309309309309308309309309309310310310310308309309309308309309309309309309309309309309309310309310310310311310310310310311311311310309308308307306306305307305305305305304304305305304303303303304305305304305304304305305305306305306306306306306305305305305305304304304304304304302303302301300301301301301301300300300300300299299301300298299303302301300301302300300300300301301300299300300300300298298297298297296297296295293294295295294295294296295295296297299298299299299298299300299299299299298298298298298298298297297298297297297296296297298297296297296295295295295295295294294295294294295295295296295295294296296295295294295295295295295295295295295295295295294295295295295295295295295295295295295294295294295294294294294294294294294294293293293293293293293293293292293292293293291291292292293292292292291291291291291291291291291291291291291291291291291291291291292292292292292292292291291291291291291291291291291291290291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290289289289289289288288288288288288288288288288288288288288288288288287287287287286286286286286285285285285285284285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304306307309311311310310310310310310309308308307307306307307306305305305304305305306305305305305305305306306307306306304305306307306307305305304303302302302301302303302302301302301301301303303303303302302304304304303303302302302303303303302302303303302302301302301301301301300299299298297296297296295295295293294295295294296296298298299294999999999999999999999999999999999999999999999999999295296297297297297296297297297298298298297297297298299299298299298297298299297297298298299298298297296297297296297296298298297299299299300300299300299299299299298298298299299299298299298297297297297298297298298298297298298298298297298298299297297298298298298299299299300297297299299299299298298298299299300300300300300300300300302302301301302302302302302303304304304303304304304303303303303302302302302303302302302304305303303303302303302303303303302303303302304304303303304304305306306305305305304305304305304305304305306307307306306306306306305305306307307307307307306306307306306306305308308308307308308308308308307308310310310311311312312308308309309309308308310309309309309310309308308308307306306306305304305304305306305303304304303302303303304303303303304304303303304304304305305306305306306305305304305304305304303303303302302301301301300300300300300301300300298299299298299299300299298299299301301300300300300300299300299299299299299300299299299298297298297296296296297296295295295295295296296295296297297297299299299299298298298299299299298298297298298297297298297298297298297297297296297298297296297296295295295295295295294294294294294294295295295295294295295295295295295295295295295295295295295296295295295295295295295295295295295296295294294295294294294295294294294294294294294294294294293293293294294293293293292293293293293292292293292292292292292291291291291291291291291291291291291291291291291291291291292291291292292291291291291291291291291291291291291291291290290290291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290289289289289290289289289289288288288288288288287288288288287287287287287287287287287287286286286286285285285285285285285284284284285285285284285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304306308309309309310309309309309309308308307307306307306307306306305305305305305306305304305304305302304306306304304305306306305305303304305303302302301301302302302302302302301303301301301302302302303303303304302302302302302302302302303303303303302303302301301302301301300298299297296295296296295295295296295295296295297300301303302293999999999999999999999999999999999999999999999999296296297299297297297296295297296297298297297298299298300300299298299299298298298297297297297298298297296297296295296296298297296297298299300299299299299299298298298297298298299299299298297298298297297297297298297298298298298298298297297296297297297297298299299299299300298298297299300299299299299300300300300300300300301301302301302302301301302302303302303303304304304303304304303303303302303302301301302303303304303303304304304302302302302303303303303302303303304303304303303304305306305305305305305305305305305304305303305306306306306307305305306305306308307307308307307307307307306305305307307306307308307308307307308308308311310310311311310310309308309309309310308309309309308308308308308308307306306305305305305305304306305305304304303302302303303302303304304303302303304305305305305305305306305305305304304304304304304304303302302302302301300301300300300301300300300299298300299299300299299299299299300300300300301300300300299299299300299299300299299298297295297298295297296294296295295295295296295295295297297297298298299300299299299300298298298298298298298298298298298298297298297298297297297297297296296296295294295295295294294294294295295295295296295295294295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294295295293294294294294294294293294293293293293293293293293293293293293293293292293293292292292292292292292291292291291291291291291291291291291291291291291291291292292292291291292291291291292290290291291291290290290290290290291291291291291291291291290290290290290290290290290290290290290290290290289289289289289289289290290290289289290289289289289288288288288288288288287287287287287287287287287287287287287286286286286285285285285285285284284284284284284285285284285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304306307308310310309309308309308307307306307306306306305306306306305304304304304304306304304303303301303304304303303306305304304302303302302302302301301302301302301302302300302301301302301302303303303302302303302302301301301301301301301302302301302300301301300300300298297299295296295294295295296296296297297295296298299300300302293999999999999999999999999999999999999999999999999298299297299298296297296296296295296296297296299299299300300298299298299298297297297297297297296297297296296296295297297297297296297298299299299299299299298299298297296297298298299298298298297297297297298298298298298297298298298298297296296297297298299299299298298299299298297298299299300299299300300300300301300301301302302302302302302301302302302302302303304303303303303303302302302302302302301301302302301304303303304304304303302302302302302303304305304303302303304303304304304305305305305305305306305304304304304303304305305305306303304304306306306308308308308309308308307307307306307306307308308308308307308307308308307309309308311309309310310309309309310310309309309309308308307308308308307305306305305305305306305306306306304304304303302302303303302303303303303303304304305305305305305305306305305305304304303304304304304303303302302302302301301300300300300300300300301300300300299298299299299299298299299300300300298299298299299299299299299299299299297298297298297296298297296296296295295295296296296297297298298299299298299299299298298298299297298298298298299298298298298298299298297297297297297297297296296295295294296296294294295295295295295295296296295295295295296295295295295295295295295295295295295295295295296295295295295295295295295295295295295295295294294294294294294294294294294293293293293293293293293293293293293293293293293293293293292293292292292292291291291291291291291291291291291291291291291291291291292291291292291291291291291291290290290290290290290290290290290290290290290291290291290291290290290290290290290290290290290290290289289289289289289289289289290290290290290289290289289289289288288288288288288287287287287287287287287287287287287287287286286286286286285285285285285285284284285285284284285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305306308309309309309309310309307307306307306306305305305305305304303302303303303303303303302302301302303302303303304303303303302302302302303302302302302301301301302302301300301302302302302302302302302302302302301301301301301301300301301301301300300300301300298298298297296296295295294294295296296297296297297294299298300301300292999999999999999999999999999999999999999999999296297299297298298298297296296296296297297297298298299298299297297297298298298298297297297297296297297296296295296295296296297296295297297297298299299299298298298298297297297297297298298298298297298298297297298298298297297298297298296296297297296296297296298300299299300299298298300300301301299301301300300301304302303302302302302302303302301301303302303303303304303302302303302303302302302302301302301302302301303303303303304305302303303302302302303305305304304302304305304304303305304305306306306305305305304303304303303303305305305305305306305307306307309308309309308308308307308307307307307308309308308309309309307308307307310310310306307309310309309309310311310310309309308308306307308309309306306306306305305305305306306305305304305304303303303303303303304303304303303304304305305305305305305306305305305305304304303304303304304303302302302301301301300300300300300300301301300301301300299300299300299301300299300300300299298299299298299299299300299299298297298298298298299296296296296296296296295295295296296297297298298299298298298298298298298299298298298298298299298298298298298298298298298298298297296297296296295295295295294294294294295295295295295295295295295295295296295294295295295295295295295295295295295295295295295295295295295295295295295294294294295294294294294294294294294294294293293293293293293293293292292293292292293293293292292292291291292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289290289289289289290290290290290290290290290290290289289289288288288288288287288287287288288288287287287287287287287286286286286286286285285285285285285284284284285284285284285285285284285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304306308308308309308309309308308307307306306305305304304303303303303303303303303303303303303302302303303303303303303302303302303303303303304303303303302302302302302301301302302302302302301301301301301301301301301300300301301301302302302301301301300300300299299297298297297297296296296295296296296296294296298297298299301300300297296999999999999999999999999999999999999999999296298299298297298297297297296295296296296297296296294297297296296299298297297297297296295295296295295295294295295294293296296296294296296297296296297297297296297296296296297297296297297297298298297297296297297296297297296297295296296296297297297297297297299299298299298298299299299300300300300301301302301301304305303303303302302302302303303303303302303303303303303302302303303303302303302302302302302301302302303303303303303302302302302302302303303303304304303302303304303304305305305305305305305304305305304303303303303304305303304304305306308307308308309308308309309308308307307308307306307309308309309308308309307307306308311309311308309309309309309308309310309309308307307306306307307309308306308307305306306305306306305304303304305305303303304303304304304304304304304304304305305305306306306306305305305305304304303304303303303303302302302301302301300301301299299301301301301301300300299299299300300301297298299300299299300299299299300300300298299299298298298298298300298297299297297296296296296296295296295296297298299298296298297297298298298299297297298299298298297297298297298297297297298298298297297296296295295295295295294294294294295294295295296295295296296296295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294295294294294294294294294294294294293293293293293292293293292293292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291292292291292292292291291291291290290290290290289289290290290290290290290290290290290290290290290291290290290290290290290290290290290290289289290289290290290290290290290290290290289290290289289289289289288288287287287287287287287287287287287287287287286286286286286286286286285285285284284284284284284285285285285285285285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305307308309308308308308309308308308306306306306305305303303304304304303303301301302302302302302302303303303303302302301302302302303302303303302302302302302302302302302302302302302302302301300300300301300301300300300300301301300301300300301301300301301300300299298298298298298297298297296295293296295294294297298299300301300299297295999999999999999999999999999999999999999999999297297298297297297297296296296295295295295296296296296296297297298297297297297296296296297295295296295294295295294295295295295295296297296297297296296296295296295296296296296297297297297297298297297297296297296297295296296296296297297297297297297296297298298298298299298298298299299299299299300301302302303303304303303302301302302302302302302302302303303303303302302303303301302302302302302303302302301301301301301303302302301303301302302302304304303304304304304303303303304305305305305305305305304305303304303303302303303303303303304306306307309309309309308308309307307307307307307307307307308308307308308308307307307306309309308309308309309308308308306307308308307307306306306307308308308307307307305305306306305306306305302999304304304303304304304304304303304304303304304304305305306306306306306305305305304304303303303303303303302301301302302302301301300300300301299300299299300300300299299299300298299297297297299298299299299299300300300300298298298298297298298299297297298297296296296296296296297295295296297298298297297297297297297298298298298297297298298298297298297297297297297297296297297297297296296296295294295295294295294294295295295296296295295296296296296295295295295295295295294294295295295295295296295295295295295295295294294294294294294294295295295294294294294294294294294294293293293293293292292293293293293293293292292292292292292293293292292293292292292292292291292291291291291291291291291292292292292292291291291291291291291290290290290290290290289289289289290290290290290290290290290290290290290290290290290289289289290290290290289289289290289289289289289289289290289290290289289289289289289288288288288288287287287287288287288287287287287287287287287286286286286286286286285285285285285284284284285285285285285285284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307308308307306307308308307307308307306307307306305305305304302303303302303302302303302302302302302303302302301301301301301301303301302303303303303302302302302302302303303302302302302301300299300300301299299301300300300300300301300300300300300300300300299298298298297297297297298296295295296296295295295296297298298299299297296293286999999999999999999999999999999999999999999297299298297296296297296295296296296295296297295294295296295296297295296296296296295295296295297296296296296296296295296296296296296296296297297296296296296296296296296296297296297297298297298298298297297297297296297297297297297297297298297297297297298297297298298298297298299299300300299300301301303302303303304303303303302303302302302302302302303302303303303302302303302302303302302303303303303302302301301300302302303301301302302302302303304304303303304304303304303303304305305305305306305305304303303303303303303303303302303304304305305305307308309309308308308307307307307307307307307307307308307308307307307307306307307308307306308308308308306304306305307306307307306306307307307306307305305305305305306306305307306304301302305305304304304304304304304304303303303304304304305305305306305305305305305304303303303303303302302302302300301301302302302300300300300299299299299298300299299299298298300298298298297298299298298299299300299299300299299298298299297297296297297298299298297295296296296296297297296296297297297298298297298297297298298299297297298298299298298298297297296297297297297297297297297297296296295295295294295295294295295295296296296296296296297296296296296296295295295295295295295295295295295295295296295295295295295294294294294294295295294295295295295294294294294294294294293293293293292292293293292293293293293293292292292292292292292292292292292292292292291291292291291291291291291291291292292291291291291291291291290290290290290290290290290290290289289289290290290290290290290290290290289290290290290290290289289290290290290289289289289289289289289289290289290290289290289289290289289290289288288288288288287287287287287288287287287287287287287287287286286286286286286286285285285285285284284284285285284284284284284284284283284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306306306305306307306307307307307307306307305306305305304305303302302302301303303303303303301302303303302302303303302302302302302301302302302302303303303302302303303304304303303302301300300300300300300298299299300300299300299300300300300300299299299299297298298298297297297296296295294293294294296294295295295296297297297297297295291999999999999999999999999999999999999999999999296295999999293295296295295295296296296295295295296296296296296296296297296297296296296297297296296297297296296296297296295296296297296297297297297297296296296297297297297297298298297298298298298298298299297298297298298298298299298298298297297298298298297297297297297298298300300301301302302302302303303304303303302302303302302302303303303303303303302303303303303302303303303304304304303303303303302302301302302303303302303302302302302304303303303303304304304303303303304304305305305306305303304303304304304304304304303303304305304304306305307308309309308308308307308307307307306307306308307307308307307307306307306306307306307307307306307307305306305306306306307305306308307307306305305305306305305306305306306306306304301304305304305304304304304305304304303303304305304305305304305305306306306305305304304304303303303302302301301301301301302301300300300300300299300299300298300299299299299299299298299299299299298299299299300300300299300298299298298298297297298298299299299299298297298296296296298296296296297297297298297298297298298298298297298298298298298297297297297297297297297297297297297297297296296296295295295294294295294295295296295295296296297296296296296296296295295295295295295295295295295295295295295295295294294295294294295294294294294294295294294294295294294294293294294294293293292292292291292292292292292293293293292291292292292292292292292291292292292292292292292292292291291292291291291291291291291291291291291291290290290290290290290290290290289289289289289289290289290290290290290289290290290290290289289289289289289289289289289289289289289289289289289289289289289290289290289289289290289288288288287287288288288286287287287287287287286286286286286286286286286285285285285285285285285284284284284284285284284284284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305305304305306306307307307306306306305304305305304304303302303303303303303303303303302302302304303303302302302302301301301301301301302302302303302302303304303303304303303303301302301300300300299300300300300300300299299299299299299299299299299299299298299298299297296296295296296296296295296296295295294295295296296297296296295291999999999999999999999999999999999999999999999295297294999293295295294294295296296297296295295295295295296295297297297297297296296296297298298297296296296297296296296296296297297296297296297297296296296296296297297297297297298298298298298298298298298298298298298298298298298298298298297297299298298297298298299298299301300300301303302302302303303303304302302302302302302302302302303302302302301301303303303303302303303303302304303304302303302303303303303303304302304303303302302303305304304304303303303303303302303304304305305305305304304304304304304304304304303303304305304305305305305308308309308309308308308307306306306306307307307307308307307307306306306307306307306307307306306307305305306306306306306306305306306306306305305305305305305305305305305306306305303304305306305305304304304305305304304303304305305304305304305305305306306306305304304304304304303303302301301301300301300301300300300300300300300300300298298299299298299298297297298298296296297297299299298299299299300300299299298298298296298298298298298299297297296297296297297297296293297296298297298298298298298298298298298298298298298298297297297296296297297297297297297297297296296296296295295294294295295295295296296296296295295296296296296296296296295295295295295295295295295295294295295295295295294295295295294294294294294294294294294294294294294294294294294294293293293293293292292292292292293293293292292293292293293292292292292292292292292292292292292292292291292291291291291291291291291291291291291291291291290290290290290290290289289289289289289290290289289289289289290289290290290289289289289289289289289289289289289289289289289289289289289289289289289289290289290289289289289289288289288288288288288287287287287287286287286286286286286286286286285285285285285285285285285285284284284284284284284284284284284284283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304304304305305306307307306306307305305304304303303302302302304303303304304302303304303302302304302301301302301301302301301301301301301302302303303303303303303303304303304303302302302300300300300299299299299300299299299298298298299298298298297298296296298297297297296297296296296298297296296296296296296295296296297296295293292290287290999999293296295999999999999999999999999999298296999295297295294295297297297297297297296296295296296297297296296296297297298298298298298296296296296296297296296297296297297297297297297296296296296297297297297297297298299299299298299299298298299298299298298297297298298298298298298298298298298298298298299298298299299299300302302303303303303302303302302302302302302302302302302301301301302301302303302303302303303303303303303302302303303303304304304303303303304303304303304304304304304304304303304305305303303304304304305305305304303303304304304304303303303304305304304306306306307308309308308308308308308307307307307307306307306306307306306306306306306305306306306306307307306306305306306306306306305305305306306306306305305305305305305305305305305305305304306305306305305304304303304304304304304304304304304305304305305305306306305305305304303303303303302302301301301300300300300301301300300300299299299299299298298298299298298298298298297296297297298297297298299299299300299299299299298298298297297297298298298299299298297297296297297297297296296297297297298299299298297298298298298298299298299298298297296296297297297297298297297298297296296297296296295295295295295295296296296296296296296297296297296296296295295295295295295295295295295295295295295295295295294294295295294294294294294293293293293293293293293293293293293293293293293293293292292292292292292292292292292293292292292292292292292292292291292291292291292292292291291291291291291290290291291291291291292291290290290290290290290290290289289289289289289289290289289289289289289289289289289289289289289289289289289289289289288288288289288289288288289289290289290289289289289289289289289289289288288288288288288287287287287287287287287287286286286286286286286286286286285285285285285284285284284284284284284284284284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304305306305305306306305306305305305305304304304304304304305304303304304302303304303302303302301301301302301301300301301300300301301302302302302303303303303303303302303303302302301301301300300300300299300300300299299299298297298298298297297297296297298296298296297298297298298297298297297296296296296297296296296295294292292291290289999999999293295296999999999999999999999297297297999299298296296296296297296297298297296296295295295295294295296293297297297298298298297297296297297297296296297297298298298297297297296297297297297297297297297297298298299299299299299299298298299298298298298298298298298298299298298299300300300300299299299298298299299300300303303303303303303302303303302302302302302302302302301301301302302302303302303303303303304304304304303303303304304303305305305303303303303303304304305304304304305304304303303304304303304304305305305305305303304304304304304304303303303304304305305305308308308309309308309309309309309309308308307307308309307306306306306306306305306306306306307306306307306306306306306306306306305305305306306306306305304305305305305305305305306305305305306306305304305305304303304304304303303304304304304305305306305305306306305305305304303304303303302302301301301300300301301301301301300300300299299298297300298297299299298297297297297297297297298298298299300299300300301298299299298298297297297298298299298300299297298297297297298297297296296297297297297298299298298297297297298299298298298297297297297297297297297297297297296297297296296296296295295295295294295295296296296296295295296296296297296296296295295295295295295295295295295295294295295295294294294294294294294294294294293293293293292293292292293293293293293293293293293293292292292292292292293292293291292292292292292292292292292292291292291291291291292292292292291291291291290290290290291290293291291291290290290290290290290290289289289289290290290290289289289289289289289289289289289289289290290289289289289289289289289288289289289289289289289289289288289289289290290290289289289289288288288288288288287288287287287287286287287287287287286286286286286285285285285285285284284284284284284284284284284284284284283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304304304305305305305305305304305304304305304305305305305305305304304303303303303303302302301302301301301301301301301300301300300301301301302302301303303302303302302303303303303302302301301301301301301300300300299299299298299298298298297298297297297297298298297297298298299298296297297296295295296296295295294295295294292292291291287285999999292296298293999999999999999999298298297298299299298298297296294295296297298297296297295294294294295295296297297298299298298298297297296296297297297297298298297297296296296296297296297297297297297297297298299299299298298298298299298298298297298297298297297297297298299299299300300300300299299297298299300301299300303303303303302302302303303302302302302302302301301301301302302302303302303303304304303303303304304304304304304305304304305303303305304304304304306305303303303304304304304303303304304304304304305303304304303303304304304304304303303303305305305305305308308308308308308308309309310310309308307307308308308307306306306306306305305305305306306307306306306306306306306306306305305304304304305305306305304305304304304304304305304305305304305305306306305305304303303303304304303303304304305305305305305305305305305305304304304304303303303302302301301300300300301301301301301300300300299299298297297298298297298298297298297297297297297297297297299298299298299297298298298298298298298299299300299299300298297298297297297297297297296296296297296297297298298297297297298298298298297297297297297297297297297297297297296296296296296296296296295295295295295295295297296296296296295296296296296296296295295295295295295295294295294294294294294294295294295294295294294293293293293293293293293292292292292292293292293293293293293293293293292292292293292292292292292292292292292292292293292292292291292291291291291291291291292291291291291291290291292291291290290291290290290290290290290290290290290290289290290290289290289289289289289289289289289289289289290290290289289289289289289288289289289288288288289289289289289288288289289289289289289289289288288288287287287287287287287287287286287287287286286286286286286286285285285285285285284284284284284284284284284284284284283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304303304304304305304304304304303304305305305305305304304304304304304303303301303302303301301301302301301301301301301300300301300301301301301301302303302302302303303303303303302303303302302302301301300300300300299300299299299299298297298297297296298298298299298298298298298298298296297296296297296295293293294294294293293293292290290290999999290292296999999999999999999999296297298298298299298298296295294294296296296297297296294295294293294293296296297298296297297298298298297298298297297297297298298297297297296297297296297297297297297297298299299299299298298298298299298298298296297297297298297298298298300301301302301300300299298298299298301301300300301302303303303303303303302302302302302302302301301300301302303302303303303304303305304304304304304305304304305305305304303304304304304304303305305304304303303303304303303304304304304304304304304304304304303304304304304304303303304304304304306305306307309309308308308308309310310310309308308308309308307307306306306306305305304304305307306306306306305306306306307306306305304304303303305305305305304305304304304304303303304304304304304305305305305304304303303303304304303304304304304305305305305305305305305304304304304303303303302302302301300300300301301301301300301300299299299299299298297297299299298297298298297298297297297298297298298298300299298298298299299299300298299299298300300299300297297297297298297297299297296295296296297297296297297297297298298298299299298297297296297297297297297297296296296296296296296296296295294294295295294295296296296296295296296296296297296296296295295295295295295295295294294294294294294294294294295294294294294294293294294293294293293293293292292293293292293293293293293293293293293293293293293292293293293292292292292293292292292292292292292291291291291291291291291291291291291291291291291291290291290290290290289289289290290290290290290289289289289289289290289289289289289289289289289289289289289289289289289289289289289289289288288288288288288289289289289288288289289289289289289289289288288288287287287287287287287287287287287286286286286286286286286285285285285284284284284284283283283283283283283283283283283283282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302303302302302302303303303303304304304304304304303303303303303302303303301301302301302302301301301301301301301301301300300300300300300301301302302302302303303303302302303302302302302302302302301301300300300300299300299299299298298298299298298297298299298299298298298298298298297297296295296295296293293293294293294293293293293292291290290287288291999999999999999999999999999296297297297297297296294294295295295296296296296295295295294294292291294295296298298298298298298298298298299298299298297298298297297298297297297297297297297297297298298299299298298298298299298299299299299299299299298298298299299300301302300300300300300299299298299300300300300301301303303303303302303303302302302302302301301301301301301302302303303303303304304304304304304304304304305305305305304305306304304304304304306306306305303303303303303303303303304304304304304304304304304304303304303304304303304304304303304305306307307307309309308308309309310311310310309309309308308307308307307306306306306305305305305306306307305306306306306307306306306305304303303303305305305305305304304304304304303303303303304304304305305304304304303304304303304304304304304304305305305305304304305305306305304304303303303303302302301301301300301301301301301301300300299299300299298297297297299298297296298298298298298297297297298298298298299299298299298298299299300300299299298299299299300298297297298298297297297297297296296297297297297297297297297298298298299298297297297297297297296297296296296297296296296295295296295295294295295295295295296296296296296296297296297296296296296296295295295295295295294294294294294294294294294294294294294294294294294294293294293293294293293293292292292292292293293293293293293293293293293293293293293293292292292292292292292292292292292291291291291291291291291291291291291291290291291291291291291290289290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288289289288288288288287287287287287287286287286286286286286286286286286285285285285285285285285284284284284284284284284283283283284284284284284283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301300300301302302302303303304303303303303303303302302302302302302302301301301301301301301301301300300300301301300300300300300299300300300301301301303301300303302302302301301302302302301301300300299300300301299299299298298298297298298298299299298298299298298298297298298298298297296294296296295294294294293292291292291290291291291291290285287999999999999999999999999999999293295294295296295295999999999999295294294296294294294294293295294294293294295297298298298298297298298298297298298298298297298298298298297297297297297296296297297297298299298298298298299299298298298299299299299298298298299300300301301301300300300299301299299298299300300301300303302303303303303303304303303302302302302302302301300300301302302302303304304304304304304304304304305305305305305305305305305305304304304305306306306304303303303304304304304304304304304305304304304304304305303304303303304304304304303304305306306307306308310309308310310310311311311309309308309308307307306306307307306305305305306306306307306307307306306306306306307306306305304303303304305305305305305304304304304304304303303303302303304304304304304304304304304304304304304304304304305305305304304305305306305305305304304303303303302302302301301301302301301301301301300300299299299298297297297298299298297296297297298297297297298298297297298297299298298298298299300300299299299299299299299300298299298298298298297297297297296296296296297296297297297298297297298298298298297297296296296296296296296296296296296295295295295295295295295295294295295295296296296295296296296296296296296296295295295295295295295295294294294294293293294294294294294294294294294294294294294293293294293293293293292293292293293293293293293293293293293293293293293293293292293292292293292292292292292291291291291291291291291291291291291291292291291291291291290290290290289290290289289289289289289289289289289289289289289289289289288288288288288289289288288288289289289289289289288289288288288288288288288288288288288288289288289289288288288289289288288288288287287287287287287287287287287286286286286286286286286286285285285285285285285284284284284284284284284284284284284284284284284283284283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300300300301302302303303303303303302302303302302301301302302303303303302302302302302301301300300300300301301301300300299300300300301301300300301301302300301302302301300301301301301301300300300300299300300300299299299298298298298298298298298298298298298298297297297297298297297296295294295295294294293293292291290288290290290291291291289289999999999999999999999999999999999293296297295294294999999999999999999295293295295295295294295294295294293293294296299299298298296297297297298298298298297298297297298296296296297297297297297298298298298299298299299299299298299299298299298297299299299299299299299301301301300300300301300299300298299299300300300303303301302303304303303303303303302303303302302302301302302302303303303303303303303304304304304304305305304304305306306304305306306304306305306305305304303303304303303304304304303304304304304304304305304304304305303304305305304303303305305306306308308310310310309310310310311312312308308308308308306306306306306305305305304305305306305306306307306306306306306306306305306305304303304304305305305305304304304304304304304303302300301303304303304303304304304304304303304304303303304305305305304304304304304305305305305305304303303303303302302301301301301301300300300300300300299299298298297298297299297298297298297297297297297297297297297297297297298297298298298298299299299298298299300299298299297298297297297297297296297297296296296296296296296296296297297297297297297297296296295296296295295295295296296296296295295295295295296295295294295295296295295295296295296296296296296295296296295295295295295295295294294294294294293294294294294294294294294294293294294293293293294293293293293292292293292292292293293293293292292292293293293292292293292292292292292292292292292292292291291290290290290290291291291291291291291291291290290290290290290290290290289289289289289289289289289289289289289289289289289289289289288289289288288289289289289289289289289289289289289289289288288288288288288288288288289289289289289289289289289288288288287287287287287287287287287287287286286286286286286286286286286285285285285285285285284284284284284284284284284284284284284284284283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299299300301302302303302302302303302302302301301301302302302303302303302303302302301302301300300300301301301300301300300301301301301301302302302302302302302301301301301302301301300300300301300299299299299300299300300300299299298297297298299299298297297297296296296296296296296295293293293294292292292291290288288289288287290290289288287999999999999999999999999999999999999295296297296999999999999999999999999291293294294294295294295295295292293293296297298298297297298297298297297298297297297297297297297297296296297298297297298298299299299299298299299298298298297298299297298299299299298299299299300300301300300300300299298299299298299300301300301302301302302303304303302302303303302302302302302302302300301302303302302302303303304304304304304304305304304305305305305304306304305305304303304304303303303304303304304304304303303303304304304303304303304304305304304305304304304304305306307307307308309309310310309309311310310310309308307308307306306306306306306306305306305305306305306306306305305306305305306306305305305303303304305306305305304304304303304303304303303303303303303303303303303305305304305304304304304303303304305304305304304304304305305304304304304304303303302302302302302301301301301301300300300300300299299299298298296297299299298298299297297297297297297297297297297297297297298298298298298298298298298297298298298299298298298298297297297297297295296296296297296295295296295296296296297296296296296295295295295295295295295295295296296295295295295295295295294295294295295295295294295295294294295295296295295295295295294294294294294294294294294293293293293293293293293293293293293293294293293293293293293293293293292292292292292292292293292293293293293293293293292292292292292292292292292292292292292292292291291290290291291292292291291291291291291291291291290290290290290290290290290289289289289289289289289289289289289288289288288289289288289289289288288289289289289289289289289289289289289289288288287288288288288289289289289289289288289289289289288288288287287287287287287286286286287287286286286286286286286285285285285285285285285285285284284284284284284284283284284284284284284284283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297298298299300301301301303303302302301301302302302301302303302302302302302302301302301301301300301300301300301301301300301300302302302302301301302302302302301301301301301301301301301300300300300300299300300299300300300299299299299298298298299298299298298297296295296296296296296295295295294294292292292291290289289289289290289291290289288999999999999999999999999999999999999999999295295999999999999999999999999999293294999293295294296295295292999999293295298299297297297297298298297297297297298297297296297297296296296296296297298298298298298298297298299298298296297299299299298299299299299299298299299300300299299299299298298298297298299299299300300302302301301302303302303303302302302302302301301301301301302302302301302302303303303303303303303303303304303304304305305305304304304303304303303303304303303304303303302304303303304304304303303303304304305305304304305304304303303304305306307307306309309308309308308308309309309309309308308307306306306306305303306305305305305305305305305306306305305306305304305306305304304303304304304304305304304304303304304304304304303303303302302302302302303304304304304304304303303303303304304304304304304303304304304304304304303303303302302302302301301301300301301300300299300300300299299299298298297298297298297298298297297297296297297297297297297297297296297298297297297298298298297297297298297297297297297298297296296294295295296296296295295295294294295294295295295295295296296295295295294294295295294294295296295295296296296295295295294295295295295295295295295294294295295295296296296296296295295295294295294294294294294294293294293293293294294294294294294293293294293293293293293293293293293293292292293293292293293293293293293293292292293293292292292292292292292292292292292292292291291290290291291292292291291291291291291291291291291290290290290290290290290289289289289289289289289289289289289288289289289289289289289289289289289289289288289289289289289288288288288288288288288288288288288288288289288288288288288288288288288288287287287287287287286286286286286286286286286286286285285285285285285285285285285285285285284284284284284284284284284284284284284284283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298298299300300301302302302302302301301302301302302302303302301301300303303301303302302301300301299301300300301301301301301301301302301301301302301302301301301302301301300300300300301301301299300301301301299300299300299300300300299299299299298298298298298297297296295295295295295294294294293292292291291290290289289289289289290291290290290289289999999999999999999295296295294999999999999999999293292999999999999293296999999999999999294295292999999999297298298298297298298298298298297297298298297297297297297296296296296296296297298298298298298297299300299298299299300299299299299300299299299300299299300300299298299299299299299299300300300301301301303301302302302303303303303302302303302302301302301301302302302301301302302303303303303303304303304303304304304305305305304304305304303304304304303304303303303303303302303303303303304303303303303303304304305305304304304304304304305305306306306307309310309309308308308308309309309308308307307307306306306305304305304305304304304305305304305305305304305305306306305304304304304304303303304304304305305304304304303304303304304301302302302303303303303304304304304304303303304304304304304305303304304305304304304304303303303303302302302302302301301301300299300300300300300300300299299299298298298298298298299298297297296297297298298298297297296297297297297297297298298298298298298298298296297297298298297297296297296295296296295296296295294294294294294295295295295295295295295295295295294295295295296296296296296296296296296296295295295295295295295295295295295295295295295295295296296296295295295295295295295295295294294293294294294293294294294294294294293293293293293293293293293293293293293292292292292292292293293292293292293292293293293293292293292292292292292292292292292292292291291290291291291291291291291291291290290291291290290290290290290290290289289289289289289289289289289289289289288289288289289289289289289288288287288288289289289289289289288289288288288288288288288288288288288288289288288288288288288288288288288287287287287287287286286286286286286286286286286286285285285285285285285285284285285285285285285284284284284284284283284284284284284283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297298298300301301301302301301301301301302301301302301302302302303302300300301301302302301301301302300301301302301302301301302302302302301301301302302301301301301302301300300300300300300300300301301301300300300301300299300300300299299299299299298298298298297297296296296295295294294294294293293292291291291291291290290290290999999291291292291290289285999999999999293295295294294295294999999999999293294293999999999292295999999999999999999294292999999999295297298298297297298298298297297297298298298298296297297296297296296297297297298298298299298298299299300301300300301301301301300299300300300299299299300299299298299299299299299299300301299302302301302301302302302303303303303302302302302302302302302302301301302302302302302303303303304304303302303304304304303303305305305304304305304304305304304304304303304303303303305304303303304303303303304304304303305304304305304305305306306306307306308307309311309309309309308308308308309309308309308309307306306305305304303305304304304305306306305304305304304306305305305303304303304304303303304304304305305305304304304304301302302301302302303303303304304304304304305304304304304304304304304304303304304304304304303303304303303303303303302302302302301301300300300300300300300300300299299299298298298296298298298297297297297298298298298298298297296297297297296296298298298298298297299297298297297297297297296297296296297295295295295295295294295294294294294294295295295295295296296295295295295295295295295296296296296296296296296296295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294293293293293293293293293294293293293293293293293293293293293293292292292292292292292293292293293292292292292292293293292293292292292292292292292292292292292292292291291291291291291291291291290291291290290291290290290290290290289289289289289289289289289289289289288289289289289288289289289289288288289289288288288289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288287287287287287287286286286286286286286286286285285285285285285285285285285285285285285285285285285284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296297299300301300301301301300301301301301301301300301301301301301300301302301301300299299300301302302302302302302302301301301301303303302302302302302302301301300301301301300301300300300300300301300300300300299299299300300300300299300299299299298298298298298297297296295295295294294294294294294293293292292292291290290290290290291292291291290290288285285999999296295294294294295295294294999999999293293293999999999999999999999292293294294292293999999999296297298297297296297297297297297298298297297297295296296296296296296296297297297298298298298299299299300301301301301301301300300299300300300300299300299299298299298299299299299300299300300300300301301300302302302302302302303302303302302302302301301301301301301302302302302303303304303303302301302303304304302302303303305305305305305305305304305305304304304304303303303303303303304305303304304303303304303303304305305305306306306306308308309308309309309309308308308308309308309308308308308308309306307305304305304305305303304304305306305306305304304305305305304303303303303303303303303303304305305305304303303303301300301301301302302303303303304304304304304304304304305305305305304304304304304304304303303303303304303303303303302302302301301300301301300300300300300300299299299299299298297296298297297296296297297298298299299298297298296296297297296297297297298298298299297297298296297297297296296296295296296296295295295295295294294294294294294294293295295296294295295295295295295295295295295295296295296296296296296295295295295295295295295295295294295294295295295295295295294295295294295294295294294294294294294294294293293293293293293293294293293293293293293293293293293293293293292292293293292292293292293292292292292292292292293293293292292292292292292292292292291292291291291291291291291291291291291291291291291290292290290290290290290289289289289289289289289289289289289288289289288288288288288288288289288288289288288288289289288288288288288289288288288287288288288288288288288288288288288288288288288288288287287287287287287286286286286286286286286285285285285285285285285285285285285285285285285285285285285285284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296296298298299299301301301302302301301301301301301301301300300300301301301301301301300300301301301301302303302303301302302302301302301302302301301301302301301300300300300301300300300299299301300299299299299299299299299299299300299299299299298298298297297297297297296295294294294294293292295295294293292292292291291290290290290292291292290289289289287284287290294295295294293293293294293292999999999293292292999999999999999999293294294294294294999295295297297297297297297297297296296297297297297297296295296296297296296296296297297298297298298299300299300300300300300301300300300300300301300299299301299299298298299300299299298299300300300299300300300300300301301301302303302302303303302302301302301301301301301301302301301302302303303302303302302303303302302303303303304304305305306306306304305305305305304305304303303303303304305305304304304303303304303304303305305306305306307307307308307308308309309309308308308308308308308308308308307307307307307307307306305305305304305305305304305305305306305305305304304303303302302303303303303303303304304304304304303301301999300301301302302302302303303303303304304304304304304304305304304304304304303304304303303302302303303303303303303303302302301301300301300300300300300300300299299299299298298298297297297297296297297297297298298298298297297297296296296296297297298298297299298297298297297296297296296296295295296295295295295295295294293294294294294294294294295295295295294295295294295295295295295295295295295296296296296296295295295295295295295295295295295294294295295295294295294294294294294295295294294294294294294294294294293293293293293293293294293292293293293292293293293293293293293292292292293293293292292292292292292292292292292292293292292292292292292292292292291291292292292291291291291291291291291291291291291291291290290290290290290290289289289289289289289289289289289289288289288288288289288288288288288288288288289288288289288288288288288289288288288288288287288288288287288288288288287287288288288288288287287287287287287287286286286286286286286285286285285285285285285285285285285285285285285285285285285285285285285285284284285284284284284284284284284284284 999999296294297298296296296292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295297299299300301301301301300301301301301300300300301301301301301301301301302301301302302301302302303303303303302303302302302303302302303303302302302301301301301301302302301300300300300299300300300299300299299299299298299299299299299298298297297297297296296296295294294294294294293293295294294293292292291288288289291290290291999999999999999999999285286293294294295295293999999999293295294999999293294294293292293999999999999999292294294295295297296297296297297296296296296295297296297297296296296296296296296295296296296297297297298298298298299299299299299299299299299299300300301300299299300300300299299299299299299299298299300300300299300301300300300300301302302303302302303302303303302302302301301302301301301301302303303303302303302303302302302303302304304305304305306306306306306306305304304305305305305304304304304303305305304304304304303304304304304305305305306306306307307308308309309309309309307308308309308308307308308308307307306306306306306307306307306305304305304305304305305305305304303303303303302303302303303303303303304304304305304303302300999300301302301301301301302302303303303304304303304304303304304305304304304304304304304303302303303303303303303303302302302302302302301301301300301301301300299299299300299299298298298298297298297296298298298299298297297297297297296297297296296297297297297298297297297296297296296296296295295295295295294295294294294294294294294294294293293294294294295294295295294294295295294294294295295295295295295296296296295295295295295294295295294294294294294295295294294294294294294294294295295294294294294295294294294294293293293293293293293293293292293292292292292292292292293292292292293292293292293292292292292291291292292292292292293292292292292292292292292292292292292292292292292291291291290291291290291291291291290290290290290290290290290289289289289289289289289289289288288288288288288288288288288288288288288288289288288288288288288288288288288288288288288287287288288288287288288288287287288288288288288288287287287287287287286286286286286286285286286286285285285285285285285286285285285285285285285285285285285285285285285284284285284284284284284284284284284 298297296295296295296293294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294295298300301301301301301301301301301300300301301301301301302302302302302302302302301303302302301302301303302302303302302302302302303303303303300301302301301301301301301300300299300298299300298300299299299299298298298299299299298299298298298298298297297296296295295294294294293293292292292293292291291290289289289290291291291290289288999999999999999999999295295294295294292999999999294294294292999999294295294292293999999999999999288290293294294296295296296296296296296296296297296296296297296296296296295296296296296296295296297297298298298298298298298299299299299299299299300300301300299299299299298299299299298298299299299299300299300299300300299299299300301301302303303302302302303303302302301302301302301301301301302302302303303302302301302302302302302304305304304305306306306305305305305305305304305304304304304305303304305304304304305304304304303304304305305305306306306307307308308309309309309308307308308308308307307307307306307307307307306306306306306306306306305305306304306306304304304304303303302303302303303304304304303304304303304304304304303999999301302302301302302301302302302302302303303304304304304304305304304303303303304303303302302303303303303303303303302302301302302302301301301301301300300300300300299299300299298297297297297297297297297297297297296297296296296296296296295296296297298296297297296297296296295296296296295295294295295294294294295294293294294294294294293293292293294295293293293294294293294294294294294294295295295295295295296295295295295295294294294294295294294294294294294295295294294294294295295294294294294294294294294294294293293293292293293293292293293293292292292292292292292292292293292293292292293293292292292292292292291292291292291292293291292292292292292292292292292292292292292291291291291291290291291291291290290290290290290290290290290290290289289289289289289289289289289288288288288288288288288289288288288288288288289288288288288288288288288288288288288288287287287287287288287287287287287287287288288288287287287287287287286286286286286286286285285285286286285285285285285285285285285285285285285285285285285285285285285285285285285285285285284284284284284284284 296296294294296293292290289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294299301302303303302301302302302301299300301301302302302302302303302302303302302302302303302302302302303303302303303303303303302302303303302301301302302301301301301301300300300300299300300300299299298298298298298299299299299299299298298298298297297296296295295294294294294292292292292290290289289289288288288288289291291291291290289999999999999999999999999294294294294293290999293295294293292999999293294293292292295999999999999999291291292291293294294294295295296296295296296296296296296296296296296296296296296296295296296297297297298298298298298298299299299299300300300299300300299299299299300299298298298299298299299299298300300300300300300299299300300301302302303302302302303303303302302302302302302302302301301301302302303302302302302302302302302303304304305305306306306306305306304304304305304306305304304304304304305304303304304304304303303304304304305305306305306307307308308309309309309309308308308308308307307308307307306307307307306306307306306306305305305305305307306306306305304304304303303303302302303304304304304304304303303303304304303301302301302301301301301301302301301301302302303303303304303304304304304303303303303303303303302303303302303302303303303303302302302301301301300301301301300301300300299300300300299299299298297297297297297297297298296297297296296296296297295296297296296296296296296296296295295295295295295295295295295294294295295294294294294294294294293293293293293294293293293293293293293293294294294294294295294295295295295296295295294295295295295294295295294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293292292293293292292292292292292292292293293292292292292292292292292292292292292292292292292291292292292292292292292292292292292291292292292292291291291291290291291290290291290290290290290290290290290289290289289289289289289289289288289288288288288289288289288288288288288288288288288288288288288288289288288288288288287288288288287287287287288287287287287287287287287287287287287287287287287286286286286286286286285285286286285285285285285285285285285285285285285285285285285285285285285285285285285285286285285285284284284284284284 999297294293294293292291289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291296297300301303303302303303301301301301301301301302301301301301302301301301302301302302302303302302302302302302303303303303303303303302302303301301301301301301301301300301300300300300299299299298299298298298298298298299299299299299298298297297298297296295295294294294294294293293292291290290289288289289289289288291292289291292291289289290999999999999999999293999294294293291290292292293292292291291292291290291291290999999999999999288290291293292293293293294296297297297296296297297297296296296296296297296296296296296296297297298297298299299299299299299299300299300300299301300299299298299298299299299298298298299299299298299300300300300299299299300300300301302302302302301302302303303302302302302302302302302302301301302302302302303302302302303303303304305306306305306306306305305306305304305305305306306304304304305304304304304305304304303303303304304304305305305306307308308309309309309310310309309308308308307306307306306306306307307307306305306306306306305305304305305307306305305305304304303303303303303304304304304304304304304304303304303302302302302302301301301301302302302301301301301303303303304304304304303304304304303303303303303302302302302303302302302302302302302301301301301301301301301301300299300300299299299300300300299298297297296296296298296296296297297296295296295295295296296296296296295295297296295296294296295295295294295295295295294295293294294294294294294293293293293294294294294293293293292292292293293292293294294294294295295296295295295294294294294294294295295294294294294294294294294294294294294294294294294294294294294294295294294294294293293293293293292292292292292293293292292292292292292292292292292293292292292292292291292291291291291292291291291291292291291291292292292292291292292292292292291291291291291290291291290290290290290290290289290289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287288288287287286286287288287287287287287287287287287287287287287287286287286286287286286286286286285286285285285285285285285286286285286286285285285285285285285285285285285285286285285285285285285284284284284284284 999295293293293292291290289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295298300303301302302301301301301301301301301301301302302301302301301301301301302302302303302301302302302302302302302302302303302302302302302301301301300300300302302301300301300300300299299298298298297298297298298298298298298298298298297297297296296296295295294294293294293292291290291290290289289289290289289289291292291291291291290290289999999999999999999999999292293291290291292292292293292291291291291291999290290999999999999999999999290290291293293293294295296297297296296296297297296296296296296297297296296296296296297297298298298299298299299299299300300299299299300300300299299299300300299299299298299299299299299298299299299299299299299300300300300301302302303302302302303302303302302302302302303302302302301302302302302303302302302302303303304304305306306306306306306305305305305304305305306305304304305305305305305305304305304304304302303304304304305305306307308309309310310310309309309309308308308307308307308307307307307307307305305305306306306306304303304305305307307305304304304305304303303303304304304304303304304304304304303303303302302302302301302301301301301302301301301301302302303304304304304304304304303304303303302302302302303303303303302302302302302302302301301301301301300300300300300300300300300300300300299299298298297297296296296296296295296297296295295295295294294295295295297295295295295294295295295295294295294295295295295295294296293294294294294294294294294294294294294294293293293293292293292293293293293293293293294294294295294294294294294294294294295294294294294294294294294294294294294294293294294294294294294294294294295294294294294293293293293292292292292292292293292292292292292292292292292292292292292292292292292292291291291291291292291291291291291291291292292292292292292292292292291291291291291291290290291291291290290290290290290289289289289289289289289289289288289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287286287287287287287287287287287287287287287287287287286287287286286286286286286285285286286286285285285285286285285286285285285285285285285285285285285285285285285285285285285285285284284284284285284 999295294294294293291291289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298301302300301301301301300300300301301301301301301301301301301301301301302303303303303302302302302303303303303303302302303303303301301302302301301301300301302302301301301301300299299299299299298298298297298298298298298298298298297297297296295295295295294293292292292292292291291291291291290290290290289289291292292292291291291292291291293999999999999999999999293292292292292291291292293292292291291291291291290290292292999999999999291999289290292293293293293295297297297296297297297296296296296296296296296296296296296297297297298298298298298299299299299300298300300300300300300300298300300299299298299298299299299298299298299299299300300300300300301301301301302302302302302302302303302302303303303303302302302302302302302302302302303302302302304304304305306307306306306306306305306305304304305305305305305305305306306306305305305306304303303303303305304305305306307308309309309309309309309309308307307307307308309308308307307307307306306305304305306305305305304304305306307304304305304304305305304304303304304304303303304304303303303302302302302302302302301302301301301301301301301301301302302303302303304304303304304304303304303303302303302302302303302302302302302301301301301301301301300300300300300300300300300299299299299299299298298296296295296296296296296296296295295295295294296294295294295296295293296295294295295295295295295294294296295295297296295293294294294294294294294293294294294294293294294293293293293294294293293292293293294294294294295294294294294294294294294295294294294294294293293293294294294294294294293294294294294294294294294294294294293293293293292292292292291292292292291292292292291292292292292292292292292292292292292292292291291291291291291291291291291291291291292292292292292292292292291291291291291291290291290290291290290290290290290290289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288287287288287287288288287288288288288287287287286286287287287287287287287287287287287287286286287287286286286286286286286286286286285286286285285285285285286286286286286286285285285285285285285285285285286286285286285285286285285285285285285285285 295295294295295293292291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299300302301301301301301302301301301301301301301301301301301301301302302302302303303303303303303303303303303303302303302302303303303302302301302302302301301301301301301301300299299299299299299299299298298298298297297297298298298297297296296295294294294293293292292292292292291291290290290290290289289288290291292292293292291291292293292293999999999999999999999295293293293292290291291291292291291291291292291291291291293293292288288291999286289290292292292292293295296296296297297296297296296296296296296296296296297297297297297298298299299299299300300299299299300299299300300301299299299298299299298299298298298298298299299299299300300300300301301301300300300301301301301302302302303303303303303302302302302302302302300302301302301302301301304304304305304306305306305305306306305305304304305306306306306307306305306306306306307305305305303303304304304305304305306308308309309309309309309309309308308307307307308309308307307307308307306306306304304304305306305305305305305305304304305305306305305304304304304304304303303304304303303302302302302302302302302302302301301301301301301301301302302302302303303304303303304304304304303303303303302303303303302302302302302302302301301301301300300300299299300300300300300300299298299299299298298297297296296296296296296296296296295295295295294293294293293294294294295294295294295294295295295295295296296296296296296295294294294294294293294294294293294294293293293294294293293293293293293293293293294294294294295294294294294294294294294294294294294293293293293293293293294294294294294294294294294294294294294294294293293293293293292292292291291291292291292291291291291291292292292292292292292292291292292292292291291291291291291291291291291291291291292292291291292292291292291291291291291290291290290290290290290290290290290290290289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288287287287288288288287287288288287287287287286287287287287287287287287288287287287287287286287287287287286286286286286286286286285285286286285285285285285286286286286286286285285285285285285285285285285286286286285285286286285285285285285285285285 296296295295296295294291292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297299301302301302302302302302302302302302301301302302301301301301302302302303303303303303303303303304303303303304304303303303303303303303302301302302302302302301301300301300300300299299299300300299299299298298298297298298299298298297297296296295294294293293293292293292291292292291291291290290289289289289291291291292291292291292292293292292999999999999999999999293294293292291290289291291291290291291292292292291292291292292290290999999999283284283286289291291291292294296296297296296296296296296296297296296296296297297297297297298298298299299299298299299300300300300300301301301300299298298298298299298298298298298299300298300300300300300300300301301300299300301301301301301302303303303302302302302303302303302301302301301301301301301302303304305305305305305305305305306305305305304304305305306306306307306306306307306306306305305305305303303304305305305305306307308308309309309309309309308309308308308308308309309308307307306306306306306305304304305306306305305306304304304305305305306306304305304304305304304303303304304304304303303303303302302302302301302301301301301301301302302301302302302302303304304304304304304303303302302303302303303302303303302302301302302302301301301301300300300300300300300300300300300299299299299298298298297297297296296296296296296296296295295294295294293293293294295294293294294293293293295295294294295295296296296295296295295295294294295294294294294295294293293292293294294294293294293293294293293293294294294294294294294294294294294294294294294294294293293293293293293293293293293293294294294293294294294294294294294293293293293293293293292291291292292292292292291292292291291291292292291291291292292292292292292292291291292291290290291291291291291291292291291291291292292292292291291291290291291291290290290290290290290290290290290290289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288287287288288287288287287287287287287287287287287287287287287287287287287288287287287287287287287287287286286286286286286286286286286286286286286286285286286286286286286286285285285285285285285285285285285285285285285286286286285285285285285285285 295296293295295295295293293999294296296999999999295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305298301301302302302302302302302302302302301301302302302302302301302302303303303303304303304304304304304304304304304304304303302302302302302302302302302302302301301301300300300300300300300300300299299299299298298298297298298299298298297296296295294294293293292292292293291292292292291291289290289289290291290291291293293293293293292292292293291287999999999999999999292292291290289287290291289290291292292292293292292291292292292290290289999999281279289285288290289288290292294296297296296295295295296296296296296296296296297297297297297298298298299299298299299299299299300300300300300299299298298298299298298298298298299300299299300300300300300300300300300300300300301301301301301300301302302302302302303302302303302302302301301301301301302303303304305305305305305305305305305305305305305304305306306306305307306307306307306306306306306306305305304304305306307307307307308309309309308308308308308308308308308309309309309308307307306306306306305305304303305306306306305304304304304305305306305306304304305304305304303303303304304304304304303303303302302302302302302301302301301302302301302302301301302303303303303304303304304303303302302302302302302302302302302302301301301301301301301300300300300300300299299299300299300300299299299298298297298297297297296296296296296296295295295295294293293294295295294293293293293293294295295295294295295296296296296295296296295295294295294294294294295295294293294293294294294293293293293294294294294294293293293293294294294295294294294294294294294293293293293293294293294293293293293294294294293294293294294294294294293293293293293293293293292291292292292293292292292291291292291291291291291291292292292292292292292292292291291291291291291291291291291291292292291291291291292291291291291290290291291290290290290290290290289289290289289289289290289289289289289289289288289288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287286286286287287287288287287287287287287287287287286287286286286287286286286286286286286286286286286286286286285285286286285286285285285285285285285285285285285285286285285286286286285286285285285285285285 296295295295294295294294293292295295296296295294294293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301300301302302302301302302301301301301301301302302302302302302302302302303303303303303304304304304304304304304304303303303303302302302302302302302302303302301300301300300300300300300300300299300299298298298298298297297298298297297296296296295294294293293292291292291292292292292291292289289290290290292291291290291292293293292292292292292292290290999999999999999999291291291290287999290289291290291292292292293292293293291292292999290292289999280279291291291292292293288999294294296297296295294295296296297297297296296297297296296296298297298298298298299298299298299300300300300299299299299298298298299298299299299300300300300300299299300300300300300300300300300301301301301301301301301302302302303303303303302302302302302302302302301302303303304304304305304305304305305305306304305304305305306306306306306307307308307307307306306306306306306305305305306307308308308308308308308309308309308308308308309309309308309309308307307306306306306305305305304304305305306304305305303304304305304306305305305304304304304303303303304304305306304304304303303302303302302302302302301302303302302302302302302303302303302303303303303303303303303302302302302303302302303303302302301301301301301301301300300300300300300299300299300300300299299299299299298298297297297297297296295296296296296295295295294293293295295293294293294293294293293294293295295295295295296295295296296295296295294295295294295294295293293294293293294293293293293293293294294294293293293293293293293294294294294294294294294294294294293293293293293293294294294294294294294294294294294294294294294293293293293293293293293292292292292292292293293292292291291291292291291291291291291291292291292292292292292291291291291291291291291291291291291291291291291291291291291291291291290291290290290290290290290290290290290289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288287287288287287287287287287287287287287287286286287287287287287287287287287287287287287287287287286287287287287286286286286286286286286286286286286286286286286286286285286285286286286286285285285285285285285286286286286286285285285285285285285285 295295295295294295294294294294294296297297297295294294294293295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301302303302302302301301301301301301301302302302302302302303302303303303303304304304304304304304304304303303303302302302301302301302302301302302301301301301300299300300300299300299299299299298298298298298297297296297296296296295296295294294294293292292292293292292293292292292292291291291291291291290291290290292293292292292293292293292291291291999999999999289290290290289287999290291291290999292293293292293293295999999291292999293292285280279999999999999999999999999999999295296296296295295296297297297297297297297297297297297297298298298298298299299299299299300300300300299299299299298298299299298299298299299300300300300299299300300300299299300300301301301302301301301301302302302302303304304304303302302303302302302301302302303303304304304304304304305304304305305305305304305305306306306306306307307307307307307306306306306306306306306306306307307308308308308308308308309308307308308308309309308308308308308308307306306306306305304304304304303303304305304304304304305304305305306305305305304305304304304303304304304305305304304304303303302302302303303303303303303302303303303302302302302302302303303303303303303303303303302302302302303302302303302302302302301301301302301301301300299299299299300300299299300300300299299299298298297297298298297297297296296296296296295295295294294294294293294292293294294294295295294294294294296295295296294295295296296296295295295295295294294294293294294294293293293293293293293294294294294293293293293293294293293294294294294294294294294293293293293293294294294294294294294294294294294294294294294294294294294293293293293293293292292292292292292292293292292292291291290291291291291291292292291291291291292292292291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290289289290289289289289289289289288289289289289289289288288289288288288288288289288288288288288288288288288288288288288288288288288288287287287288287287287287286287287286287287287287287287287287286286287287287287287286287286287287286286286286286286286286286287286286286286286286286286286286285285285285286286286286286285285285285286285286286286285285285285285285285285285 294295294294295296294293293294294295297297297296294294295293294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303300300301302302303302302301301301301301300301302302302303303303304303303303303303303303304304304304304304304303303302302303302303303303303302302302301302301301301299300300300300299299299299299299298298298298298297296296297296296295295296295295294293292292293292292293292292291292293292292291291290289289290290291292291292293293293293293294292292292291288999999999290291291290288999999292290291292999999291291294293294294999999999292293292292288288292999999999999999999999999999999293294296297296295296297297297297297297297297297297297297297298298298299299299299299299299300300300300300300300299299299299298299298298299300300300300299299299300300300300301301302302302302302301302301301302302303304303304304303303303303302303302301302302303303304303304304304304304304304304304304304305305305306306306306307307306306307307307306306306306306306307307306307307307308308308308308308308308308308309308308309309309308307307308308306306306306305304303304304303303303304304304304304304305304305305305305305305304304304303303303304304305305305305304304304303303303303303303304303303303303303303303303303302303302302302303303303303303303303303302302302302302303303302302302302302302302302302302301300301300300300299299299299299300300300299298298298298297297298298298297297297296296296296295295295294294294293293293294294293294294296294294293294294294295295295294294295295296295295295295295295294293293294294293293292292293293293293293294294294294293293293294293294294294294294294294294294294293293293293293293294294294294294294294294294295294294294294294294294294294294293293293292292292292292292292292292292292292292291291290290291291291292292292292292291292292292291291291291291291291291291291291291291291290290291291291291291291291291290291290290290290290290290289289289289289289289289289289289289289289289289289288288288288288288288288288288287288288288288288288288288288288288288287288288287287287287287287287287287286286286286286286286287287287286286286286286286287287287287286287286286286286286286286286286286286286286286286286286286286287286286286286286285286286286286286286285285285285285285285286286285285285285285285285285 294294293294294295294293293294295295295296296296296297295293294293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301301302302302302302302301301301300300301300302302301302303303303303303303303303303303303303303303303303303302303302302302303303302302302302301301302301301300300300300300300299299297298298298299298298297297297296296296296296295295295296294294294293292292292292293292293292292293292292292292292290290290290290292292292999294293293293294293293292292291290999999286289289290288287286289291292292292291291291292293293295999999999999999292289293294294296299999999999999999999999999999999294296297297296296297298297297297297297296296297297297297297298298299298299299299300300300301301300300300300299299299299299298298298298299299299299299300299300300300301302301302302302301301302302302303302303303304304304303303303303304303302302301302302303302303303303303304304304304304304304304304305305306306306306306307306306306306306306306306306307307307307308307308308308308308308308309309309308308308308309308309308308308307308307307306305305305305304304305306303304304304305303303304304304305305305305304304304304304304303303303304304304305305305304304303303303303303303303304304303303303303302303303303303303302303303303303303303303303303303303303303302302302302302302302302302302302302301301300300300299299299299299300299300300300300299299298298298298298298298297298298297297295296295295294296295294294294294294293292293294294295294295294294294294296296295295295295295295295295294295295294294293293293294294293293294293293293294294294294294294294294294294294294294294294294294294294294294294294294293293293293294294294294294294294295295295295295294294295294294294293293293293292292292292293292292292292292292291291291291291291290291291291292292292292292292292292291291291291291291291291291291290290290290290290290290290290290290290290290290290290290289289289289289289289290289289289289289289289289289289289289288288288288288288287289288287287287287288288288288288288288288288288288287288287287287287287287287287287287286286286286286286287286287287286286286286286287286287287286287287286286286286286286286287286286287286287286287286286286286286286286286286286286286285285286286286285286286286286286286286286286285285286286285285286 293294294294294295295295296296296296295296297297296298298294295295294296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300300302302302302302302301301300300300301300301301301302302303303303303304303303302302302302302303303304303303303303303302302302302302302302301301301301299299299298300300300299299299299299299299298298298297297296297297297297297296296296296295295294293292292292293294294293292293293293292291291290291291291291292292291999999294295294294294293293292291289288288288288289289289287285287289290291291291291292294293294295999999296298999999999293296295295298999999999999999999999999999999999296297297296296297297297297297296296296296296296297297298298298298299298299299300300300300300300301301300299299299298298298298297298299299299299299300300300300300301301301302302301301302302302303303303303304304303303303303303303303302302302302302302302303303303303303304304304304304304303304304304304305306306306306307306306306306306306306305306306307308308308308308308308308308308308308308309308309309309309308308307307307308307307306305305304304304305306306305304304304303303302303303305305305304305304304304304304304304304302304304304304305305304303304303304304304303304304304304304303303303303303303303303303303303303303303303303303303303303303303303303303303303303302302302302302301301301301300300300299299299299299300299300300300300299299298298298298298297298298297297297296295296296295294295295293295295294293292292293294294294295294296294294295296295294295295295296296295295295294295295295294294294294295294293294293293293293294294294294294294294294293293293293293294294294294294294294294294294293293293293294294294294294294294294295294295294294294294294294293293293293293292292292292292292292292292292292292291290290290291290291291291291292291291291291291291291291291291291291291291290291290290290290290290290290290290290290290290290290290289289289289289289289290290290290289288288288288288288289289289288288288288288287287288287287287288288287287288288288288287288287287288288288288287287287287287287287287287287286286286286286286286286286286286286286287287286287287286287287286286286286286286286286287286286286286286286286286286286286286286286286286286286286286286286286286285285286286286286286286285285285285286286286286286 293294294293294295295296296296297297296298299298298299299299301300297999297298294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301301302302302302301301301300300301301301301301302302303303303304304303304303302303302302302303303303303303303303303303303303302302302302301301301301300300300299299299297299298299298299299299299299298298297297297297298297297297296296296295294294293293293293294294294294294292292292292292292291290291292293294292291293999999999295295295294293292292291290290289289289289289288285286288290291292292292292292293293295999296299298999999999999294295298299298299999999999999999999999999999295297297297296296297297297297296296296296296296297298298298298298298298298298299299299300300300301301300299299298298299298298298299299299300299299299299300300301301301302303302301302301302303303303303302303303303303303303303302302302302302301303302302302303303303303304304304303304304303304304304305305305306306306306306307306306306306306306306307307308308308308308308308307308308308308308308309309309309308308307307307307306308307306304304304303301303305304303303303303303302303304305305305304304305304304304304304304304304304304304304305305304304303304304304304304304304304304303303303303303303303303303302302303303303303303303303303303303303303303303302303303302302302302301302301301301301301300300300299299299299300299300299299299299298298298298297297297297297297297297296296295295294294295294294294295294293292292292293293294294294294293294295296295294295295295295295295295294294294294294294293293294293294294293293293293293293293294294294294294294294293294294293293294294294294294294294294294294293294293293294294294294294294294294294294294294294294294294294293293292292293292293292293292292292292292291292291290290290291290290290291291292291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290289289289289289289289289289290290289290288288288288288288289289289288288288288287287287288288288287287287287287287288287287287287287287287287288287287287287287287287287287287287286286286286286286286286286286286287286286286286286286286287287286286286286286286286287286286287287287286286286286286286286286286286286286287286286286286286285285285285286286286286286286285285285285285285285286286 294294294294294294296297296297297298297298298299297300302300299299298296295296293289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301301301302302302302301301300300301301301301302302303304303304304304304304304304303303302303303304304303303303303303303303303302302302302301300301302301301301299300300299299299299298299299299299299298298298297297297298297296297297296296295295294294294294295295294294294293292292294294294292291291292293294294293295294294294296295296295294293292292291291290289289289289289287285287287290292293293294293293294295294297297298299299999999999293297298296296300300999999999999999999999295296297297297297296296297296297296296295296296297297297297298298298298298299299299299300300300299300300300299299299299300299299299300299300300299299299300300300301301301303302302302301302302303303302303303303303302303303303302303302302302302302302303302303302302303303304304304304304303304304304305305305305306306306306306306306306306306305306306307307308308307307307307307308308308307307308308308308308307307307307307308308306307307305304304304304303303302304303303303303303302304305305305305304305305305305305305304304303304305304304305305305304305304304304305304304305305304304304304304303304304303303303303303303303303303303303303303303303303303303302302302303302302302302301302301301300300300299299300299299299299300300299299299299299298298298297297296296297297297296296296295296295295295295294295294294294293292291292292293293292293293293294294294295294294295295295295295294294294294294294294294293294293293294293294293293293293293294294294294294294294294294294294294294294294294294294293294294293293293294294294294294294294294294294294294294294294294293294294294293292293292292293293293293292292292291291291290290290290290291290290290291291291291291291291292291291291291291291291291291290290290290290289290290290290290290290290290290289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288287287287287287287288288287287288288288287287287287287287287287287287287287287287287287286286286287286286286286287287287287286286286286286286287286287286286286286286286286287287286286286286286286286286286286286286286286287287287286286286286286285285285286286286286286286285285285285285285285285285 294293294294294295295296297297296299299299296298296297301299301300301295294294294290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308299299300301301301301302302301300300301301302302302302302303303303304304304304305305305304304303303303303303303303303302302303303302302302302302301301302301301300301300299300300299299299299299299298300299299299298297298297297298297297296296296295295295294294295295294294294294294294293294294294293293292293292294293293295999294297297297296295294293293292291291291290289289289289287999287288288292292294295296295296296295298298298299299298299999294298298297298300301299999999999999999999296297298298297297297296296296296296296295296296296296297297297297298298299298298299299299299298300300300299299299299298299300299299299299299299299299300301300301301301303303302302302302303303303302302303303303303303303303302302302302302302302302302303303302303303303304304303304303304304304304305305305305305306306306306306305305305305305306306307307307308307307307307307308309308308307307308308308308307307307307306306307307306305305305304304304304304303303303303303303302302303304304305305305305305305305305305305304304304303305305304305305305305305304304305305305305305305305305305305304304304304304303303303303303303303303303303303302303303302302303302302302303303302302302302301300300300300300300299300300300299300300300299299299299299298298298297297297297297296296295295295296296296296295295294294295293292292292291292292292293292292293294294294294294294294295294295294294294294294294294294294294294295294294295294294294294293293293293294294294294295294294294294294294294294294294294294293294294294293293293294294294294294294294294294294294294294294293294294294293293292292292292292292292292292292292291290291291291290291290290290291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287288287287287287287287287287287287287287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286286287286286286286286286286286286286286286286287287287287287287286286286286286286286286286286286286286286286286286286285286286286 293294295295295296296297297298297299300300299298298300300301299300300298296293293290289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299300300301301301301301302301301301302303302303303304304304304304305304304304305305305305304303303304304304304303302302302302302302302302301302301301301300300300301300300300299299298299298298298299300300299298298298297297298298298297296296294295295295296295295295295295295294295294294294293294294293293292294293292292999296296296296296295295294293293293292292291290290291290287289999999999294296296297298297296296299299300300300300299298298295297299297298300301301302300999999999999297297297298298297297296296295296296296296296296297296297297297298298298299299299299299299299300300300300299300299299299299299299299299299300300300300300300301300301302303303302302303302303303303303303303303303303303303302302302302303302303302301302302303303302303303303304304303304304304305305305305306305306306306306305306306306305305305306306306307307307308307307307308308309307308308308308308308308307307307306306305305306305304304305304304304303304303303303303303304303304304305305304305305305306305305305305305304303303305305305305305305306305305305306306305305306306305305306305305305304304304304304303303303303303303303303303303303302302302303303303302302303303302302302302301301300300300300299299300300300300300300299299299299299298298298298298297297297297296297298297295295296296296295295294295295295292293293293293293293293293293294294294294294294295295294295295294294294295294294294294294294294294294294294295295294294294293294294294295295295295295295295295295294294294294294294293294294294294294293292294294294294294294294294294294294294294294294293294294293292293292292292293292292292292291291290290291291290290290290290290290290290291291291291290291291291290290290290290290290290290290290290290290290290290290290290290290289289289289289289289288288289289289289288288288288288288288288288288288288288289288288288288288288288288288288287287288288287287288287287288288288287287287287287287287287287287287287287287286286286286286286286286286286286286287286286286285286286286285285285286286286286286286286286286286286286286286286286286286287286286286286286286286286286286286286286286286286286286286286286286286286286286285285286 292293295295296295296296297297298299300298297299298299299301301297298298296999290293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299299299300300301300301301301301302302303303303303303304304304304304304304304305305305305305305304304304304304304303303302302302302302303303302302301301301301301301301300300300299299299299299299298299299300299299298298297298297297297296296296297295296296295296296295297296296296295295295296296295294294294294294294294294296296296295295294294294293293293293292292292291291290291293290999999999299299300302299297299299300299300301300301302302298299299300999300301302300299999999999999298297298298298297297296296296296296295296297297297297297297298298298298299299298299299300300301300300300300300299299299299299300299299299300301300300300300301301302303303303303303303303303302303303302303303303303304304303302302303303303302302302302303303302302303303303303303303304304304305305305306306306306306306306306306306305305305306306306307307307307308308308307308309307308308308308308308308307307307307306306305304305304304304304304304304304303302303303304304304304303303304304305305306306306306305305304304304303304305305305306305306306306306307307306306306306306306306307306306305304305304304304303303303303303304304303303303303303303303303303302302302302302302302302301301300301300300300300300300300300300300300299299299299298298298298297297297296297296296297297297296296296296295296296295294294293293293293293294294293293293293293294294294294295295295295295294294294295294294295295295294295294294294294294294295295294294294294295294295295295295295295295295295294294294294294294294294294295295294294293294294294294294294294293294294294294294294294293294293293292292292292292292292292291291293292290291291290290290290290290290291290291291291291291291291291291290290290290290290291291292292291290290290290290290290290290290290290289289289289289289289289289289289289289288288288288288288288288288288288288289289289288288288288288288288288288288288288287287287287287288288288287287288287287288287287287286286286287287287286286286286286286286286286286286286286286286286286285285285285285285285286286286286286286286286286286286286286286286286286286286286286286286287286286286286286286286286286286286286286286286286286286286286286286 292293296296295295297296296296297297298298299299299300300299300300297297295295293294294290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296298299298299299300300300301301302302302303303303303303303304304304304304305304305305305305305306306305304304303303304304303303303303303303303303303302302301301301301301301300301300299299299299299300299299299299300299298297297297297296297297297296297296296297296296297297297297297297296298297296296295295294292294295294293293295296296295295294294294294293293293292293292293292293294293292999999999999295302999298299299298299299301301301300301300298299301299999999301302299999999999999999297297298298298298298297297298296297296296296297296297297297298299298299300299299300300300301301300300300300299299299299299299299300299301300301301301301302302302303303304304303304303303303303303303302303303303305303303303302302302303302302302303303303302303303303303303304303303304304304305305305306306306306306306306306306306306306306306306306307307307308308308308308308308308308308308308307308307307307306306305305305304304304304303303304302302302303303304303305305305304304304304304305305305305306306305305304304304304304306306306306306306306306307307307306306307307307306306307306306305305305304304303303303303303303304303303303303304303303303303303303303302302302302302301301300301301300300300300300300300300300299299299299299299298298298298298297297297297297296297297296296297295295296296295295295294293292293294294294293293293293294294294294294295294295295296295295294295295295294295295296295294295294294294294295294294295294294294294295295295295295296295296295295295294295295295295295295295295295294294293293293294293294294294294294294294294294294294293293293293292292292292292292292292291293294293292290291290290290290290290290290291291291291291291291291291290290290290290290290290290291291291290290290290290290291290290290290290289289289289289289289289288289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287288288287287287287288288288288287287286287287287286287286286287286286286286286286286286286286286286285286285285286285285285285286285286286286286286286286286286286286286287286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285286 293295295295296297298297294296297299300299299299299300300300298297296297297296293290291292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293296297298298299300300301301301301302302302303303303303303304304304305305305304305305306305306306306306306304304304303303304304304304303303304303303303302302301301301301301300300300300300300300299299299299300299299299298297297296297297296298298297298297296297296297298298298298297298298298297297297296296296297294293293292294296295293294294295294294294294294293293292293292293293294293292288999999999999999999999999999999298296298299300299299301300299299302999999300302302299999999999999999999296298299299298297297297296297297296296296297296297297298298298299299300300300300301300301301300300300300299300299299299299299300301301301301301302301301302303304304304304303302303303303303303303303304303304304303303302303303303303302302302302303303303303303304303303303303303304304305305306306306306306306306306306306306306306306306306306307307307307307308308308308308308308308308307307307307306307306306305304305304305305304303304303303303303303304304304305305305304304304305304304304304305305306306306305305305305304305306306306306307307307306307307307307307307307307307307307306306305305305305304304304304303303303304303303303304303303303303303303303303303302302302302301302301301301301301300300300300300300300300300300300299299298299299298298298298297297297297297297296296296295296296295296295295294292293294294294294294294294294294293294294294294295295295295295295295295295295294294295296294294294294294294294294294294294294295294294295295296296295295296296295295295295295295295295295295295294294293294293293294294294294293293294294294294294294293293293293293293292291292291292292291291292292293293292291290290290290290290290290290291290290291291291291290291290290290290290291291290290291290290290290290290290291291291290290290291291290289290289289289289288288289288288288288288288288288288288288288288287288288288288288288288288288288288288288288288288288287287287287287287287287287288287287288287286287287287287286287287286286286286286286286286285285286285285285285286285286285285286285285285285286286285285286286286286286285285286286286286286285285285286285285286286285285285285286285285285285285285286285285285285285285285285 293293294296295298298296296297297298299299299297299300298296298299297298298296293292292293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295298298299299300301301301301301302301302302303303302303303303303304304304304304305304305305305304305305305304305304304304304304304305304303303302302302302302302301300301300300300300301301300300300300299300299299298298298298298298299299298298298298298298298297298298298298299298298298298297296296296297296295292293293294296296296295295294295295295295294293293293294294293293293294293293288999999999999999999999999999999297298298299299299299300298297302304999999301300300999999999999999999999999298298298297297297296297297297297296297297297297298299299299299300301301301301301300300300300300300300299299299299300300300301301301301301302302301302303304303304304304303304303303303303303304303303303302303303303303303303303302302302302303303303303303303303303304303303304303304305306306306306306305306306305305305306306306307307307307307306307307307308308308307307308307308307307307307306306306305305305304304304305305304303304303303303303303303303305305305305304304304304303303303303304305306305305305305305305304305306306306307307307307307307307307307308308307307306307307307306305305304304304304303303303303303304304304303303303303303303302303303302302302302302302302301301300300300301300300300300300300300300300300300300299299298298298298298297298297297297296296297296295293296296295294295294294294295294294294294294294294293294293293294294295295294295294294295294294295294295294294295295295294294294294294294294294294294295294294295295296296296296296296296295295295295295294295295295294294294294293293293294294294293293293293294294293293293293293293293293293292292292292291291291291292291292292290289289290290290290290290290290291290291291291291291291291291290290290291291291290290290290290290290290290290290290291290290290291291291289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287286286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285285285285285285285285285286286286286286286286286285286286286285285285285285285285286286285285286286286285285285285285286285285285285285285285285 292295295296296297297296297297298297299299300299300298298299297296298299298297295293295295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282287288293295297298299300301302302301302302302302303303303303303303303303303304304304303303303304303303303304304304304304304303303303303303303302302302302302302301302301300300300300300300300300300300300300300299299299298298298297297298297298298298298298298299298298299297297297299298298298298299298298296297296296295295999293293294296296297296294295294294295294294291293295295293293293293293294292999999999999999999999999999999999299298299299299299298300299299303301302999999999999999999305305999999999999298298298298297295295295296296296295296296297298298298299299299300300300300301300300300300300300300300300300301300300300301301301302302301302302302304303304303303303303303303303303303303303304303303303303303302303303303303303302302302302303303303303303303303304304303303304304305306306306306306306306306306306305305306306306307308307307307307307307307307308308308308307307306307307307306305305304305304305304304304304304303303304303303303304304303304304304304304304304303303304304303304304305305305305307305305305306305306306307307307307307308307307307307308307307308307307307307306305304304303304303303303303303303304304304303303303303303302303303302302302302301302302301301301300300300301301301301300300300300300300300300299299299298298298298297298299298298297297296296295295294296296295295294294294293293295294294295295294294294294294294294295295294295295295295295294294295295295295295295295295294294294295294294294294294295295294295294294295295295295295295295295295294294294294294294294294294293294293293293293294294293293293293293293293293293293293293293293292292292291291291291291291291291291290290290290289289290290290290290290290291291291291291291291290290290290290290291290290290290290290290290290290290290290290290289289290290289288289288288288288288288288288287287287287287287287288287287287287287288288288288287287287288287287287287287287287287287287287287287287287287286286286286286286285286286286286286286286286286286286286286286285286285285285285285285285285285285285285285284284284285285285285285286285285286286286285285285285285286286285285285285285285285285285285285285285285285286285285285285286285285285285284285 294296296296297298299298298297297298299298299299299299298299299298298298299296296295295294295999999999999296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292290292293296297298299299300301302302302302302302303303303304304304304304304304303303303303303303303303303304304305305305304306305305303303302302301301301301301301301301301300300300300300301300301300301301300300300300299299298298297297298298298298298298298300298298299299299298299299298298297298297297297296296296296294294999296294295295296295295294294294294294294295294292292293294294293293294293293999999999999999999999999999999296298299301301301303302300300301302301301999999999999999999299298999999999999301298297297296296295295295295295297296296297297298299299299299299300300300300299300300300299299300300301300300300300300301301302302302302303303303303303304304303303303302302303303303301302302302303303303303303303303303302302302302302303303303303303303303303304304303304305305305305306307307306306306306305305305305307307307308308307307307307307307307308308308308308307307307307307306305305305305304304303303304304304305303304304304304303303303303304303303303303303303304305304304304304304305306306306305305305304305306306306307307307307308308308307307307307307307307307307307307306306305304304304304303302303303303303304304303303302302303303303303302302302301301301301301301301300300300301301300301299300300300299299299299299299299298298297297297297297298298297296297296296295295296295295295294295295293293294294294294294293294294293293294294294295294294294294294294294294295295295295294295294294294294294294295295294294295295295295294294294295295295295295294294294294294294294294294293293293293293293293293293293293293293293293293293293293292292292292292292291291291290290291290290290290290290290289289290289289289289289290290290290290290290291291290290290290289290290290290290290290290290289289290289290290290290290289289290289289289289288288288288288288288288288288288287287287287287287287287287287287288288288288288288287287287287287287287287287287287286286286286286286286286286286286286286285285286285285285286286286285286286286286286285285286285285285285285285286285285285285284284284284284284285284285285285285285286285286285285285285285286286286285285285285284285285285285285285285286286286286285285286285285285285285285284 294294297298298298298299299299298299298298298299301299299301300299299299300299300298296293296999999999299301296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294295295296296298299300301301301302302302303303303304304304305305305305304304303303303303303303302303303303303303305305306305305305304305304303302302302302301302301301300300300301300300300300301301301301300300300300299299299299299299298298298298297298301299299298298299300300300300299299299298298297297297297297297296296296295999295296296297297296296296294295294294295294293293293295296296294294293293293290999999999999999999999999298297298300301301300301301300999301302302304999999999999999999297295295296296297299297297297296295294294294295295296296296297297298298299299300300300300301300300300299299298300300300301301301302301301301301302302302302302302302302303303303302301302301301302301302302303303302303303303303303303303303302302302303303303303303303303303303304304303303304305305305305305306306305305305305305305305305306306307307307307306306306306306307307307307307306306306306306305304305305304303304304304304304304304304303304304303303303303303302303302302302302302302302303303302303304304305305303305304304304304305305306305307306307307307307307306306306306306306306306306306306305305304304303303303303302302302302302302303303302302302302303303302301301301301301300300300300300300300299300300299299299299299299299299299298298298298298298297296297297296298296297296295295295294294295294294294295294292292294294294294294294294294294294294293294294294294294294295294294294294294295295295294295295294295294294295294294294294294294295294294294295295295295295295295294294294294294294293293293293293293293293293293293293293293293293293293293293293293292292292292291291290290289290290289289289289289289289290290289289289289289288290290290290290290290291291291290290290289290290290290290290290289290289289289289289289290289289289288288289289288288288288288288288288288288288288287287287287287287287287287287287287288288287287287288287287287287287287287287287287286286287287287286286286286286286286286285285285285285285286286286286286286286285286286285286286285285285285285285285285285285285284284285285284284285285285285285286286286286286286285285286286286286286286286285285285285285285285285285286286286285285285285285285285285285285285284 296296298298298296297299301300300299299298299299299300297299298299299300299299298298297296294999999999296299296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294295297297298298299300301301301302302302303303303304304304304304304304304304304303303303303303303304304304304304304304304305306306304304303303304303302302302302302302302301301301300300300301301301301301300300300300300299299299299298299299299298298298300299300300299300300300300299299299299299299297298298298297297297295296295999999298297298299298297296295295295294295295294293294294294294294293293293292292999999999999999999999301299298298999999303301300301301298999301303304306999303304999999999298297297297297296296296295296295295295295295296296296296296297297298299300300300300301301301299300300300299299299300300301301301301300301300301302302302302302302302303303303302302302302301301302301302302303303303303303303303303303303303303303303303303303303303303303303303303303304304304305304305306305306306306305305305305305306305306307306307306306306306305305306306306306306306305306306305305305304305304304304304305304303304304304304304304305303303303303303302302303302301303302302302302303303302303304305305305305305305305305306306306306307307308307307307306306305306307306306306306306305306305304303302302302302302302302302302302303302302302302301302301301301301301301301301300300300300300300299299299299298299298298298299298299298298298298298298297298297297297297297296297296296295295295295295295295294294293294292294294294294294294294294293293294294294294294294293294294294294293294294294294294295295295295294294294294294294294294294294294294294294294294295294294294294294294294294293293293293293293293293293293293293292292293293293293293293293292293292292292292292292291290290289290289290290289289289289289289289289289289289289290290290290290290289290290291290290289290290290290290290290290289289289289289289289290289289289289289288288288288288288288288288288288288288287288288287287287287287287287288287287288288288288287287287288287288287287287287287287287286286287287287287287286287287287287286286286285285286286286286286286286286286286286285285286286286286285285285285285285285285284285284284284285284284284284284285285285285285285286285286285285285285286284285285285285284285284285285285285285285285286285283285285285285285285284284284 296297298298298297299297300300301300299299299301301301301300301300301300300298299298296296295294298300299298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293296295298298298298299300300300300301301302303303302303303303303303303303303303303303303303303303303303303303304303303303304305303303304303304303303304304303303303302303302302302302302301300300300301301301301300300300300299300300300300299300299299300300298298298300301301300300299299299299299299300299299299299298297297296296295296295306999300300298298298297294294294295296295295294295294294294294294294294294293292999999999999999999999297299298999999999999999300302299298999301303304306305304305999999999299299298298297295294292292295295295294295297296297297297297297298298298299300300300301300299299299300301300300300300300301301300301301301301302302301302302302302302302302303302302301303302302302303303302302303303303304304303303303303303304304304303303303303303303303303303303303304304305305305305306306306306306305305305305305306305306306306306306306305305306306305306305305306305305305304305304304304304304303304304305304305304304304304305304304304304304303302302302302302301302302302301301302302303304304304304305305305305305305305306306306307306307307307306306306306306306306306306305306305305304304304302302302302301301302302302302302302302302301301301301300301301301301300300301301300300299299299299299299299299299298298298298298298298298298297297297297297297297297297297297295296295295295295295295295294294294293293294293293294294294293294293293294294294294294294294294294294294294295294294294294295295294294294294294294294294294294295294294295294294294294294294294294294294294294294293293293293293293293293294293293293293293293292293293293293293293293293293292292292291291290290290291290290289290290290289290289290290289289290289290290290290290289290290290290290290290290290290290290290290290290290289289289290290290290290290289289289288288288288288288287287287288288288287288288287287287287287288288288288287288288287287287287287287287287287287287287287287286286286286286286286286286287287287286286286285285285286285285285286285285286286285285285285284285285285284284284285285285285285285284284284284284285284285285285285285285285286286286286286285285285285285285285285285285284285284285285285285285285285285285285284285284284284284284284284 296297298297299298297298298299300300300301301302302302304303303301301301300299296296297296297296299300298296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292296298299299300300300300301300301301301302303303303303303303302302301302302302302302302302302302302302304304302302303302303302303303303303303304304304303303303303303302303302302301301301300299299300300300301300300300300300299300300299299298299299298298298298298300301301301299299299299299298299299299299298298298298297297296297296296297999999999299299297296296294293293295295295294294294294294294294291292294294293999999999999999999999294294296297999999999999999299300298999999301302303303303303304306999999297299299298296295294290291293296295297296296297297297297297297298298298299299299299299300299299300300300300300300301300300300301301302301301302302302302303303301302302303302302302302303302303302303303302303303303304304305304304304304304304304304303304303303303303303303303303303304304305305306305306305305306306305306305305305305306306306306306306305305306306305305305305305305305305305305304304304303304304303304305304304304305304304305305303305304303303302302302302302302302304302302302303302301303303304304304305305305305305305305305305305305306307307307307306306306307306306305305306305305305304304303303302301302302302302301302302302301302302301301301301301300301300301300300301300300300299299299299299299299299299299298298298298298298298297297297297296298298298298298297297296296296296296295295295295295294294294294294293293294294294294294293293294293293294294295294295295294295294295294294294294294294294294294294294294295294294294295294295295295294294295294294294294294294294293293293294294294294294293294294294294293293293293293293293293293293293294293293292292292291291291290290291290290290289291290290290289288288289289289290290290289289289289289290290290290290289290290290289289289289290290289289289289289289289289289289289288288288288288288288288287287287287287287287287287287287287287287286287287288287287287287287287287287287287287287287288287287287287287287287287286286286286287286287286286286285286286285286286285285285285285285285285285284284284284284284284285284284284285284285284285284284285285285285285285285286286286286286286286286286285286285285285285285285285285285285285285285285285285286285285285285285284285285285284285285 296297297296297297298299297299301300301300302301302303304301302300301301299298295295296296298299296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292296297300300301301301301300300300300301302303303303303303303302302302302302302302302302302302302302302302302302303302302302302303303303303303303303303303303302303302302302302302301301301300301300301299299300300300300300300300300299299298299299298298298298299299299299300299301300298299299299299299299299299298298298298298297297297296296298999999999298298297296296294293293294294294294295294294294294295295295294295294292999999293292292999999294294999999999999999999299298297999999301302302303302302302301999999999296297297295293293292293295296296296297296297298298297297297298299300298298298298298298298299299300300300300299301299300300301301301301301301301301302303303301302302302302302302303303303303303303303303303304304304305304305304305304304304304304303303304303303303303303304304305304305305305306306306306305305305305305305305305306306306306306306305305306306305305305304305305304305304305305304304304304304304305304304304305305305305304304304304305304304303303303303303303303304302302302302302303303303304304304305305305305305305304304303304305305305306307307306306306306306306305305304305304304304303303303303303302302302302302302303302302302301301302301300300301301301300301300300300300300299300299298298298299299299299298298298298298297297298297297297297297298298298298297297297296296296296295295294295295295294294294294294293293294293293293293293292293293293294295295295295294293294294294293294293294293294294294294294294294294294294294294294294294294294294293294294294294294293293293293293293293293293293293293294294294293293292292293293292293293292292293292293292292291290290290290290290289289289290290290289290288288288288288289289290289289289289289289289289290290289289289289289289289289289289289289289288289289289289289289288288288288288288287288287287287287287287287287287287287287287287287286286287287287287287287287287287287287287288288288287288287288288288286286286286287287286286286286286287286286285285286286286286285285285285285285285285285285284285285285285285284284284285284285285285285285285284285285285285285285286286286286286286286286285286286285285286285285285285285284285285285285285285285285285285285285285284285285285284285285 297297296298297295298299299299300300301302302302303301301299300299300300299298296295296296297297296296295297999999298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999999999999999999293293294295297298301301301301302301300300300301302303303303303302302302302302302302302302302303303303303303303303303303303302302302302303303303303303303304304304304303304304303303302302302302302301301301300300300300300300300300300300300300300300300300300300300299299298299299299299300301300299300299300299300300300299299299299298299298297296296296299999999999999297999999296293294296295295294294295294295295294294295295295294294293999291294294293999999291292999999999999999999299297999999999300302302303302301301299999999999999296295291292293294294297297297296296296296296297297297296298298298298297297298298298298299300300299299300300300299299299301300301301301301301301302302301301302302302302302302302303302303303303303303304304304304304305305305304304304304304304304304303303303304303305305304305305305305305305305306305306306305305305305305306306306305306306306306305305305306305305304304304304304304304304305304304305305305305304304305306306305305304304305305304304304304303303303303303303302301302302303303303303303304304305305305305305305305305304304304304305305306306306306306307306306306304304304304304304303303303303304303302302302302302302302302302302301301301301301301301301301299300300300300300299299299299298298297298299298299298298298298298297297296296297297297297298297298298298296297296296295295295295294295295294294294294294294293293292293293293293293292292293293293294295294294293293293294293294294293293294294293294294294293294294294294294293294294294294294294294294293293294293293293293293293293293293293293293293293293293293293292292292292292292292292292292292292292291291290290290290290289289289289290290289290290288289288288288289289289289289289289289289289290289289289289289290289289289289289288290289289289289289289289289289288288288289288288288288288287287287287287287288288288287287287287287287287287287287287287287287287288288288288288288288288288288288288288288287286286287287286286286286286286286286286286286286286286286285285285285285285285285284284284285285285285285285284284284285285285285285285285285285285285286285286285285286286286286286285285285285285285285284284284285285284284285285285285285284284285285284285285284285284284285285 297297295296297297298299300300301303303302302303304301302301298300302299298298299296297295296297297296296296296297298297298299300300999999999999999999999999999999999999999999999999999999999999999999999999999297297999999297294294295296297298299299301301301302302302301301301302302303302302302301302302302302302302303303304304304304304305303303303302302302302302302302302302303303304303303303304304304304303303302302302301301301300300299299299299299300301300300300300300300300300300300300300300299298299298298299301300300300300300300300300299300299300299299299299299297297296297999999999999297298299298297296296296296295295296296296296295295296295295295295294999294296295296295999293294999999999999999999299298298999999999301301303304303302300999999999999999294294289293291294296296298298297297296297296297297297297297298298297297298298299299299300300300300300301300300299299300300300300300300301301301301301301301301303303303302302303303303303303303303304304305304304305305305304304304304304304304304303303303303304304305304305305305305305305305305305306306306306306305306306306306307306306307306306306305305304304304305304304305304304304304305305305306305305305304304305306306305305304305304305305305304304303303304303303302301301302302303303302304304304303304305305305305305305304303303303304304305305305305305305305306305305305304304304303303303303304303303303302302302301301302302302301302301301301301300301300301301300299299300300300299299298299299298298299299298298298298298298298297297296297297297297297297297297298297297296296296295295295295295295295295294294294294294294293293293293293293293293293293293294293296293292293293293294294294294294293294294293294294293293293294293293293293294294294295294294294293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292293292292292291291291291290290290290290290290289290290290289289289289289288289289288289288289289290289290290290290290289290289289289289289289288289289288289289289288288288288289288288288288288288287287287288287287288288288288288287287287287287287287287287287287287286287287287288287288288287287287287288287287287287287285286286286286286286286285285285286285285285285285286287286285285285285285285284284284283284284284284284284284285284284284285285285285285285285285285285285285286285285285285286286286285284285285285285286285284285285285284284285285285285285285284285285284285285285284284285285285 299298297295296296297296299299300301302301300300302302303299299302301302298298297300299296297298297297298296297295298999999299300300301999999999999999999999999999999999999999999999999999999999999999999999297298295296298297296296297298299300301301301301301302302302302303302301303303303303302302302302302303303303303304304304304304305303303303303303303302303303302302303303303303303303303303303304303303302303302302302302301301300300299299299299299300300300300300300301301301301301300300301300300299300299300299300300300300298298298300299299300300301299299298298297297296999999999999298297298298298297297297296296296295294296296296296296297296296295296296295291295295295295295294294297297999999999999300299297999999999999299301302301300299298293999999999999293294290286295295296297297297297297297296296296297297297297297298298298299299299300299300300300300300300300300299299300301300300297300301301301301301301302303303303303303303304303304303303304304304305305305305305305305305305304304304304305304303303304303305305305305305305305306306306305306306306307307307307307307307306307307307307307306306305305305304304305305305305305305304305304305305305305305305305305305306306306305305305305305305305305304304303303303302302302303303302302303303303304304304305304303305305305305305304303304304304306305306305306305305306306306305305304303304303303303303304303303303303302302302301302302302302302302302302301301300300301300300300300300300300299299299300299298299299299299299298298298298298297297297297297297297297297297298298297297296296296296295295295295295295295295295295295295294294294294294294293293293293293293294294293294293293293293293293294295294294294294294294294293293294293293293293293293294294294295294294293294293293293293293293293293293293293293293293293293293293293292293292292292292292292292292292292292291291292290290290290290290290290290290290289289289289288288288288290289288289288288289289289290290290289289289289289289289289289288288289288288288288288288288288288288288287287287287287287287287287287287287288288287287287287287286287287287287287287287287288288288288287287287287287288286287287287287287287286285286285287286286286286286286286285286286286286286286286286285285285285284285284284284284284284284285284285284285284284285285285285285285285285285285285286286286286285285286286285285285285285285285285285285285285285284284285285285285285285284284284284285285285284284285285285 297297296295296298299300299298299300300300300299301301302300300301303298300300299300298297298296297297297295295295296999999300299300298295999999999999999999999999999999999999999999999999999999999999999291299298297297298298298299300301301302302302302302302303302303302303303304304302302303303303303303303303303303303304304303303303303303303303303303303303303303303303302302303303302303303304303303303302303302302302302302301301301300300300300300300300301301302302301301301301301302300301300301300301301300300299300301301300299299299299300300300302302300300299298299299298999999999296296297298297297297298296295297295295295296296296296296295295295296296296295294294294295295295295294295295999999999999298298297999999300298298301302302300299296292999999291292291292291999295295297297297297298296297296296296297298297297298298298299299299300299300300301300300300300300300299298299300301301301301302300300301301303302303302302303302303303303304304304304305305305305305305305305305305305304305304304304304304304304304304305305304305305305305306306307306307307307307308308308308307307307307307307307306305305305305305304305306305306306305306305304305304305305305305305304305305306306305305304305305305305305304304303303304303303303303303302302302303303303304304304305305305305305305304304303304304305304305305305305305305306305305305305303303303303303303303303303303303303303302302302301302302302302302302302301301301302301301300300300300300300300299299299298298298298298299299298298299298298297296297297297297297297297297297297298297296296296296295295295294295294295295294294294294294294294294294294293293293293293293293293292293293293293294293294294293293293293293293294294294294294294293293293293293294295294294293293293293294293293293293293293293293293293293293292293293293292292292292292292293292291291291292292292292292291290290290290290289288289288289289290289288289289289289289289289289289290288289289289289290290289289289289289289289289289288288288289289289289288288288288288288288288288287287287287287287288287288288288288287287288288287287287287287287288288288288288288288288288288288288287287288287287287287287287286285285286286286286286285285285286286286286285286286285285285285285285284285284284284284284284285285284284284284284284284285284285285285285285285285285285285286285285285285286285285285286286286286285285285285285285285284284284284285284285285285284284284284285284284285284285285285 296296296297297299299298298301301300300299299303302302301300302299301300300301301300300300299298298298297299297298296295297300300299298295296297999999999999999999999999999999999999999999999999999999999999296297298299300300301301301301302303303303303303303303303303302303303303303303302302302303303303302303303303303304304304304303303303303303303303303302302302302302302302303303303303304304303302303303302303302302302302302301301300300301301300301301301301301301301301301302301301301300300301301301300300300300300301300300300300299300300301302303303302301300299295999999999999297295295295296297299298297297297294295295296295296295295296296296296296296296295294295294294293293293292293287999999999999291292999999297300298298300999301301299296294999999291289292292291999293295297297296297297296296296297297298298299298299300299299300299299299300300300300300299300300300299299300300300300301300300301301302301302302303303304303303304303304304304304305305305305305305305305305305305305305305305305305305305305305305305304305305304305305305306307307307307307307308308308308308307305306306306307307305305305305305305305305305306306306305306306305305305305305305305306305304305305306305304304304304304305304304303304304304303303303303303302302301302302302303304305305305305305305304304303303304303304305305305305305305304305304305305304303302302303303302303303303303303303303302302302302302302302302302302302301300300301300300299299300300300300300299300299299298298298298299298297298298298297296296297297297296297296297297297297297297296296295295295294294294294295295295295295295294294294294293294294293293294293293293293293293293293293292293293293293293294293293294294294294294294294293293293293293294294294294294293293293294293294293293293293293293293293294293293293293292293292292292292292292293293292291292292291291292291291291290291290290290289289289289289290289289289289289289289289289290290290289290290290290289288288288288288288288288288288288288289289289288288288288288288288287287287287287287287287287287288288288287287288288288288288287287287287287287288288288288288288288288289288287288288288287287287287286286287286286286285285286286285285285286286286286286285285286285286285285285285285285284284284284284284285285285285285285285284284285285285285285285285285285285285285286285286286286286285285285286286285285285285284285285285285285284285284285285285285285284284284284284284285285285285285285 297296296297298299299299299300300301301299302302304303303303304300301301300301301301301302300299301300298299302298297297300302301298296296297296294296999999999999999999999999999999999999999999999999999298298299299300301300301302302302302303303303303303302303303303303303303303303303303302302302303302303303303303303304304304304303303303303303303303303302302302303303303303302303304304303303302302303304301303303303302302301302301301300299300300301302301302302301301301304304302302302301301301301301301301301301300300299300300299300300301303303303303302301300300299999999999999296297297298299301299298298297296296296295296295295295296296296295296296295295295293294293294294293293292293999999999999293293999999296297298297297999999999999299295296295295291292291293289289999295296296295296296296297297297298298299299299299300300300300300299299299300300300300300300300299299300300300301300300301300300301302302302302303303304304304304303304304305305306305305305306306305305305305305305305304305305306305305305305305305305305305305305306305306306307307307307307307309308308308307306306306306306306306305305306305305305305306307306306306306306305305304304305305306306305305305306306305304304304303304305305305304304304304304303304303303302302303302303303304304304305305305305306305304304304304304304305305305305304304304305305304304303303302303303303303303303304303303303303303302302302302302302302302302301301301301302302300299299299299300300300299299299299299298298298297297298298298298297296296296297297296297297297296297297297296296296295295294294294294294294295295295295295295294294294294294294293293293293292292292293293293293293293294294294294294293294294293294294293293294293294293293294294293293294293294293293293293294293293293293293293293293293293293293293292292292292292292292292292292292291291291291291291291291291291291290290290290289289289289290290290290290290290289290290290290290290290290289289289289289288288288288288288288288288289289288289289288287288288288288288287287287287287287287287287287287287288288288288288288288288287287287287288287287288288288287287288288288287287287288287287287287287286286286286286285285285286285285285286286285286286286285285285285285285285285285285284284284284284284284284285285285285285285285285285285285285286285285285285285286286286286286286286286286286286286286286285286285285285285285285285285285285285285286285285285285285284285285285285285285285285 297298296298299299299301301300300301301301301302303304304304304299301301300301300301300301304295298298300300301301299298300301301298297297299296298296296999999999999999999999999999999999999999999999293297299300301302303303301302301302303302302302302302303303303304304304303302303303302303303303303303304304304305304304304304304304304304303302303303303303303303303303303303303303304303303302303303304304303302303303302301301301300300300301300301301301301301302301301301303302302301301301301301303302302301301301301301301301301300300301302302302302301303302300297999298296298297299300298300302302299299299296295295295295296296296295297295296295294295294295294294294291293292290999999999999999999999293291999999296295294295999999999999999296295295295295292292292292291292293293294295999296296296297297300300299299299299299300299299299299299299300300300300300300300299299300300300300300300300300301302302302302302302303303304304303304304304305305305305306306305305305305305305305305305304304305305305304305305305305305305305305305305305305306306307307307307307308308307307307307306306306306305305305304305306305306305305306307306306306306305305304304304305305305305305306306305306305304304304304304305304305304303304304304303303303303303303302303304303304304304305305305305305304305304304304304304304305304304304303304305304303303303303302302303303303303303303303303303302302302303302302302302302302301301301301301302301301300299299300300300299299299299299298298298298297298298298298297297296296297296296297297297297297297297296296295295295294294294294294294294295295295294295294294294295294294293293293293293293293293293292293293294293293294294294293293293293293293293292294294293294293293293293294293293293293293294294293294293293293293293293293293293293293293293293293292292292292292292292292291292292291291291290290291291291291290290290290289290290290290290290290290290290290290290290290290290290290289289289289288289288288288288288289288287288288289289289288287287287287288288287287287287287286286286286287287287288288288287288287288287288287287287287287287287288288287288289288288288288287288287287287287286286286286286286284284285286286286286286286285285285285286286286285286286285285285285285285284284284284285285285285285286286286285286286285286286286286286286286286286286286286286286286286286286286286286286286286286286285286286286286286285286286285286286285285284285285285285285285285285285285 297298297296298299300300301300300300300301301301303302303304301301302302300299299300299300299299299298298299296298300298298298295295295294295295297296999999999999999999999999999999999999999999999999297298299300302303303303302301301302302302302302302302302303304304304303303303302303302303303303304303304304304304303304304304304303303303304303303303303303303302303303303303303304304304303303303303304303303302302302302301302301300299300300300301301302302303302303302303302302302303303302302302302302302303302301301302303302302302301303303302302302303302301301999300298297299301299301301300303300299297297296295296296296296295295296296295294294293294294293294293292292292290999999999999999999999292293290999999292292999999999999999999999295294294294294293291290291289290290291294295999295296297298299299299299299299300300300300299299300300300301301300300301300300299299299300300300300300300301301302302301302302303303304305304304305304305305305305306306306306305305305305305305305304304305305305305306305305304305305305305305305305305305306307307307307307307307308307307307307306306306306305305305305305306306306305306306306306305306305305304304305304305305305305305306306305304304304304304304304304304305304303303303303303303303303303303303303304304304304304304304305305304304304304303304303303304305304304303303304304304303303302302302302303303303303303303303303303302303303303303302302302302302302301301301301302301299299299299299300299299299299299299298298298298297297297297297296297296297296296296297297297297297297296296295295294294294294294294294294294295294295295294294294294294294294293293293292292293293293293293292292293293293294294293293293293293293293293293294293293293293293293293293293293293293293293293293293293294293293293293293293292292293293293293292292293292292292291292292292292292291291290290290291291290291289290290290290289289290290290290291291291290290290290290290290290290290289290290290289288288288288289288288288288288289289289289288287288287287288288288287288288287287288287287287287288288288288287287287287288288287287288287287287287288288288288288288288288288288287288287287286286286286286286286286285285285286286286286285285285285285285285285285285285286285285285285284284284284284284285284285285285285285286285286285286285285286286286286287286286286286286286286286286286286286286286286286286286285286285286286286286286286286286286286285285285285285285285285285285285285 294297299297297300301300301301299299299300300301301303301304303302303301300299300300299298301299298299301299299301301298298297295293295295295294297999999999999999999999999999999999999999999999999293296298299301302302302302301301301302302301301302302302302303304304303303302302302302302303303303304304303304303304303304304304303303304304304304304303302302303303303302302303304303303304303303303302303302302301302301302302302301300300301301301302302302303303303302303302303303303304303302302302302303303303303302302302303303302302303303303302302302302302303999999299299299301302302303304302300300298298297297297296296296295294296296296296295294294293294294294294292291291287999999999999999999999293292999999291292292999999999999999999999999293294294293291290289292999999293294295294296293298298298298299300299300300300300301300301301301301301301302302301301300300299300300300301300301300301302301301302303303303304305305304304304305305305305306305305305305305305306305305306305305305305305305306306307306305305305306305306305306305306306306307307307307307307307307308307307306306306306305305305305305305306306306306306306306307306306306305305305304304305305305305304305305304304303304304304304304304304304304304304303303303303303303303303303303303304304304304303304305304304304303303304305304304304305304303303303304304303303303302302302302302303303303303303303303303303303303303303303303303303301302302301301301302300299299299299300299299299298299299299299299299299299298298298297297297296296296296296297297297297297297297296295295294295294294295295294295295295295294294294294294295294294293293292293292292293293293293293293293292293293293294294293294293294294293294294293293293293293293293293293293293292293294293293293293293294293294294293293293293293293293292293292293292293293292292292292292292292292291291291291291291289290289290289290290289289289290290290290290291291291291291291290290290290290290290290289289289288288288288288288288288288288288288288288287287288288287288288288288288288287287287287287286286287288287287286287286288287287287287287286287286287287288287287287287288288288287287286286286285287286285287286286286285285285286286286286285285286284284284284284284284285284284284284284284284284284284284285285285285285285286286286286286286286286286286286287286286287287287286286286286286286286286286286286286286286286286287286286286286286286285285285285285285285285285285284285285285284 298298301301299301302302301302300301300299300301300301301302301300302302300300300300300297302301301300300299298298298296295297298296295294295294292999999999999999999999999999999999999999999999999999298298299301302302301300300300300300302301302302303303303303304303303303303302302302302302303303303303303303304303303304303304303304304303303302303304303302302303303303302303303303303302303302302302303302302301301301302302301301301300301301302302302302303302303302304304303303303303303303303303303303303303303302303303303303303303303303303302302303303303999999999297300302302302303303302301299300297296297298296296295296295295296295296296297294294294294294293294292291290289999999999999999999999292292999999292293291999999999999999999290291293294293291289290291292999999293293293999296296297298298298298299299300299301300302301301301301301302301301301301302300300300300301300301301300301302303301301302303303303304305304304304305305305305305305305305305305305306306305306306306306305305305306306306306306306306306306305306306306306306306307307307307307307307307307307307307306307307306306305305305304305307307306306306306307307306306305305305304303303304305304305304304304303303303303303304304304304304304304303304304304303303303303303303303303303303304304303303304304304303304303304305304304305304305304304304303303303304303303302302302302302302302303303303303303303303304303303303302302302302301301301301301301301300299299300300299300299299299299299300299299300299299298298298298297297297297297297297297297296297296296297297296294295295295295295294295294295296295294294294294294294294294293293293293293293293293293293293292293292293294294294294293293293293293293293293293293293293292292292293293292292292292293293293293293293294293293293293293293293293293292293292293292293293293293292291291291290291291291291290291290291290290290290290289291289289290289290290290290290290290290290290290290290290289289289289289289289288288288287287288288288288288288288288288288287287287288288288288288288288288288288287287287287287286287287287287287287286287287287287287287287286287287287288288287288287287287287287287287286287286287286285285286285285285285286285285284284284284284284284284284284284284283283283284283283283283284284284285285285285285285285285286286286286287287286287287286287287286286286286285285286286286286286286286286286285285286286286286286286286285285286285285286285285285285285285285285285285 298297300300299301302301300301299301300300300301301300301300300301300301301299302301302299297302299298301299299298298297297297297297296296296295999999999999999999999999999999999999999999999294999299300300300302302302302302301301302302302303303303303303303304304304304304303303302302302302302302302303302303303303303304303303303304304303303302303303302302302302302302302303301302302301302301301301302301301301301301302302302302301301301302302302302302303302303302303303303303303303303303303304303303304304303304303304304303303303303302302302302302301999999999999298300302303302302302301301301299298299299297296295295295294294295295295295294293294294294294294293293292291291291999999999999999999292290999293293292292292291291290289290290291292292291291291292293292999999999292291293297297297298298299299299299300300301300301301301301301301302302302302301300300300300300301300300301301301301302302302303303304304304304304304305305305305306306305304305305305305306306306306306306305305305305305305305306305305306306306306306307306307307307307306306307307306307307307306307307306306306306306305305305305306306306306306305306306306306305305305304302999303303304304304303304303303303303303303303304303304304304303303303303303303303303302302302303303303303303303303304303303303303303303304304304304304305304304303303302303302302302302301301301301302302302302302303303303303303303303303302302302302302301301301301301300300300300299299300299299299299299299299299299299299299299299298298297297297297297297297296296296296296296296296296295295295294295295295295295297294295295294294293294294293294294294293293292293293292292292292292293293292293294294294294294293293293293293293293293293293293292292292292293292292292293293293293293293294293293293293293293293293292293293293293293293293293293292292291291291291292291291290290291290290290289289290290290289290289289289289289289290290290290290290290289290290290290289289289288288288288288287287288287288288288288288288287287287287287288287288288288288288287287288288287287287286286287286286286286285286286286286286286286287286286286286287287287288287287287287287286287286286287286286285285284285285285285285285284285285284284284284284284284283283284283283283283283284284284284284284285285285284286286286286286286286286287287287287287287287287287286287286287287287286287286286287286287286286286286286286287286286287286286286286286286286286286285285285285285285285285 297298299299299300302300300299299300297300301300299300301302301301301298299300303303300302299299301301301299299298298297298297298297297296294293999999999999999999999999999999999999999999294295297298299300301301302302302302301302302303304303304303304304304304303304304304303303302302303302303303303303304304304304304304304304304304304303303303303303303302302302302302302303303303303303302303303302302301301301301301302302303302302302302302302302302303303303303303303303303303303303304303304304304304304304304304304303303303303302301302301302302301999999999999298299302303303302302302302302300300300299298296296295295295294294293294294294294294294293294294295293292291290290291291999999999999999999285999291293292292292293292292291290290290291291291291293294293293292293999999999295296297295298298298300301300300300300301301301301300301302302302301300300300300300301301301300300300301301301302302302302302302303303304304304305305305305305305305304305305304305306306306306305305305305305305305305305305305305305306305306307307307306307307307306306306307307307307307307307307306306306306305305304305305305306306306306306306306306305306305305304303304303303303303303303303303303303303302303302302303303303303303303303303303303302302302303302302302303303303303303303303303303303304303303302303303304304304303303303302302301302302301301301302302302302302302302302303303303302303302303302302302302302301301301301301300300300300299299299299299299299299300299299299299299300299299298298297297297296297297297296295295296296296296296295295295295295295295295294295296294295295294294293293293293294294294293293293293293292292292291292292292292292293294293293293293292292292292292293292292292292292291292292292292292292292292292292293292293292293293293292292292292292292292292292292292292292292292291291291290290291290290290289289290289289289289289289288288289289289289289289289290290289289289289289290290290290290289289289288288287287287288288288287288288288288288287287288288288288288288288288288288288288288288288288288287287287287287286286286286286287286286286286286286287287287287287287288289289289289288288288288287285287287286285286286285286286286285284284284283284284284284284284284284284284283283284284284284284284284284284284285285285286286286286286287287287287288287288287288288289287287287287287286287287287287288287287287287287287287287287287287287287287287286286286286286286286286286286286285285285285 296297297298296298301301300298299300300301300299299301301301301302301301302302301300300302302301301301300297298299298298298298298297298296294293999999999999999999999999999999999999999999298297297297300300301301301301301302301303303303303304304304304304304304304304303303303303302303302303303303303304304304305304304304304304305304303304304303303303303303302302301302302303302303303304304304303303302301301301301302303303301301302301302302302303303302303304303303303304304304303304304304305304304305304305305304304303302303303302302301302302301999999999999299301302304305304304303302302301302300299299299297297296296295295294294295293295295294295293294294295293292291291291292293290293999999999999999292294294294294294294294293291291290291291291292292292293293293293999999999999297298297298299300300301303302301301300300301301301301301301301301300300300301300300301300300300301301301301301302302303303303303303304304304305305305305305305305305304304304304305305305305305305305305305305305305305305305305305305306306307307307306307306306306306306306306307307307307308308306306306306306305304305305305305305306306306306306306305305305305305304304304304303302302302302302303302302302302302302302302303303303302302302302302303302302302302302302302302302303303303303303303303303303303304303302302303303303302301302302302300301301301301301301301301302302301301302302302302302302302302302302301301301300300300300300300299299298299298299299299299299298299299299299299299299298298298297297297297296297297297296296296296295295295295295295295294295294294294294294295294295294293293293293293294294293293293293293292292292292292292292291292292294294294294293293292292291291291293292293293293292292292292292292292292292292292292292292292292293293292293292292293292293292293293292292292292292293292292291291291291290290290289289290290289289290289289289289289289289290290289290290290290290290290289290290290290290290289289289289289288288288288288288288288289289288288289288288288288289288288288288288289289289289289289288288288287288288288287286288286286286286286286286287286286287287287287287287288289289289288288288288287286287287287286286286286286286286285285285285285284284284283284284284284284284283283283284284283284284284284284284285285286286286286286288286287287288288287287287287288288288288287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286285285285 297300297297296297299299299299301300300298298297298299300302301301301302302302301300301302301301299300299298298298299300299297299298299297295293999999999999999999999999999999999301302301301300299300301301301301301302302302303302303303303304304304304304304304305304304303303303302302302302302302304303303303304304304304304304304304304304303303303303303303302303302303303304303302303303304304303303303303303302302303303302302301302303303303303303303303302303303303304305305304304304304305305304305306305305305305304302303304304304303303301301999999999999299301304304305306305304303301300301299300299299299298296296295295294295294295295293296296295295295295295293294292291291292293290292292999999999999292292291293295296296295294293294293293291290292294295295294293293999999999999999298999299300300301302302301301301301300301301301301300301301301300300301301300301301300300301302301301301302302302302303304304303304304304305305305305305305305305304304305304305305305305305305305305306306306306306306305305305306306307307308308306306306306307307307307307307307307307308308307307306306305304304305304305305306306305306306306306305305306306305305305304304303303302303303303303303303303302302303303303303303304303303303303303303303303303303303303303303303303303303303303303303303303302303303303302303302302302302302302302302302301301301301301301301301301301302302302302302303303302302302302301301301301300301300300300300299299299299298298298299299298298299299299299299298298297297298297297298297297297296297297296297296295295295295295295294294294294294295294294295294294294293294294294294293293293293293291292292292292292291292292293293292292293294293293292292291292292292292292293292292292293292292292292292292292293292293292292292293292292292292292292293292292293293293294294293293292293292291291291291290290290289289290290289289289289289290290289289289290289290290290290290290290290290290290290290291290290290290290290288289289289288289288289289289288288288289288289288288289289289288289289290288289289289289288288289289288288288288287286287287286286286286286286287287287288287287288288288289289288288287287287287287287287287287286286286286286285286286286285285284284284285284284285284284283283283284284284284284284284284284285285286285286286286286286286287287287287287287287288288288288288288288288288287287287287287287287287287287287287287288288287287287287287287286286286286286287287287286286286285285 300300299299295296301299297300300298298299299297298298298299300301300301300302301301301301300300300300300299299298299298299300299299299299297296999999999999999999999999302301302301301301301301301301302302302302302302302301303303303304304304304304304305304305304303303302301302301301301301301302303302303303303304304304304304304304303303303303302302303303303303304303303302303303303304303303303302302302302302303303303303302303303303302302302303303302303303303303304304304304304305305304305304303305304305305305305304303303304303302303999999999999298300301302304304304305304303302300298299298297297298295296295295294294293294294295294294296296295296296295296295294293292292292291290290286999999999289291292999999294295295295295294295294295294999292294295294293292290999999999999999999999299300299300301302302301300300300300301301301301302301302302301301301300300300301302302302303302302302303303303304304305304304305305305305305305305305305304304305304304305305305305306306306306306306306306306306306306306306306307307308308306306305306307307307307307308308308308307307307306306306305305304304305306306305305305305305305306306305305305306305304305304303303303303302303303303303302303303303303304303303303303304304303303303303303303303303303303303303303303303302303303302303303303303302302302302300302302302301301301301301301300300300300300300301302301302301301302302302302302302302302301301300301301301300300300300300300300299299298298298298298299299299299299299298298297297297297297297297297297297297298297297296295295295295295294294294294294295295294294295294294294293293293293292293293293293293292292292292292292292291292292292292292292292293292292293292292292292292292293292293294292292292292292292292292292293293292292292292292293292292292292292292292293293293293293294293293293291291291291291290291291290291290290290290290290289291291290289289289290289290290290290291290290290290290290291290289290290289289289289289288288288289289289289289288288288289289289288288289288288288289289288288289288289289288288288289289288288288287287287286286286286286286286287287287287288287288288288288289288288287286288287287287287287287287287287285285285285286286286285285284285285286284285284284284284284284284284284284285284285284285286285286286286286287287287287287287287287287287287287288288288288288287287287288287287287287287287287287287287288288288288288287287288287287286286286287286286286286286286286285 302301300299298297299297299299301299299300298298299300299299299298302302302301301301299301301300301300299299299299299299299300300300300298298298999999999999999999999302301300300301301301302302302301302302302301302302302302303304303304304303304304305304304305304304303303302301301302301301302302302302302302303303303303304303304304303304303304304304304302304304304303303303303303304303303303303301302302302303302302302303303302303303302302302302303303303303303303304304303304304305304304304303303304304305304304304303305305305304303999999999999298300301302302302302303302301300300300299298298297296296295295296295296295295295294296293293294295296296296295296296295293292291292291291290288287288289290292294293295295295295295295295296296295295294294294295293294292290999999999999999999999300298299300300301301301301300300300301301301301301301302302301301301301301301302302303302302303303302303303303303304305305305304305305305305305305305305305304304304304305305305305305306306306306306306306306306306307307307307306306306306306306306306307307308307307307307307307306306307307306306305305305305304305304305305306305306306306305306306305305304304305304303303303303303302302303303302303303303303303303303303303304303303303303303303304303303303303302303303303303303303303302302302302302302302301301301301301301300301300300300300300299300300300300301301300301301301301301302302302302302301301300300300301300300300300300299300299299299299299299298298298299299299299298298297297297298298297297297298298298297297297296296294295294294295295294295294294294294294294294294294294294293293293293293293293292292292291292292292292293292292293292292292292292293292292293292292292291291292293292293294292291291292292292291291291291291291291291292293293292292291291291291291293293293293293292292293293292292291291291291290290291291290290290290289289289290290290290290289290290290290290290291290290290290290290289290289290289289289289290290290289289289289289289289288288288288289289288289289288288288289289289288289289289289288288289289288289288288288287287287286286286287286287287287288288288287288287288287287288287287286288288288286287287287287286286286286285286286287286286286286285286286285286286284284284284284284284284285285285285285285285285286286286287286287287289287287287286286286286287287287287287287287288287287287287287287287287287288287288288288288287287288288288287287286286286287287287286286286286286285 301300298299299298300299299299299299299298298297299299299300299300301301301301301300300301300300301300301300300300299300299300300300299299299299999999999999999999304303302301299301300301300302302302302303302302302302303302303303303303304304304305305305305305305305304303303301300300300301301302302302302302303303303303304304304304304304303303303304304303304303304303302303304304303303302302301301303302302303302302303303303302303302303302303303302302303303303303304304304304304304304304304304304304304304303304303305304306304304999999999999299301302302302302301301301302299298298298298298298297297296296295296295294296295297296297294295294296295295294295295293293293292292292291291290289290291292292292293294296295295294294295295296296296295294999292293293999999999999999999999999999999999298299300301300301301301300300300301301301301301301301301300301302302302302302302303302302302304303303303304304304304304304304305305305305305305305305304304304304304305304305305305306306306306306306306306307307307307307307306307306306306306306307307307307307308307307307307307307306306306305305305305305304304304304306306306306306306305306306305305304304304303303303303302302303303302303303303303303303303303303303303303303303303304304303304304303303302302302302303303303303303302302302301302302302301301301301300301300301299300300300300300300300300300301300300301301301301301301301301301302301301300300301301301300300300299300300299299298298299299298299299299299299299297297298298298297297297297297298298297297297297296295295295294294295295295295294294294294294294294294294294294293293292292293293293292292292292292291292292292292293293292293292293293293292292292292292292292292293292292293292292291291291292291291290291291291291291291292291292292293292291291292292292292292293292292293293292292292291291291290290290290291290290290290290290290291291291291290291290290290290290290290290290290290290289290290290289289289289289290289289289289289289289289289289288289288289288288289288288288288288288289288288288289288288288288288289288288288288286287286286286286287286286286287287287286287287288287287287287287287287287287288286287286286285286286286287286286287286287286286286286286286286285284285284284284284284284285284284285285285285286286287286286287287287287287287287287286287286286287287287287287287287287287287287287287287287287288287287287287287288288288288288287287287287287287287287287287286286286286286 301300298298298298298299300299299298297297298298299298299300301302302300301301301301301301300300301301301301301300299300299299299299298298298299999999999999999303303302302301301301301301300301303303301302302302302303303303303304304304304304304305305305305305305304304303302301300300300300301301302302302302302303304304303305305305305304304304304304303303303303303302302303304304302302302302302301302303302303303304304303303303302302303303303302303304304303303304304304304304304303304304304304304305305304305304304305305305303999999999999301302301302302301302301300300301300298297298297298297295295296295295294296296295296296295296296296293296296294294295294292292292292292292292292291291293292292291291292295295295294293294295295296296296293292999999294294999999999999999999999999999999999299300300301300301301301300300300300301301300300301301301300301301302302302303302303302303303303303303303303304304304304305305304305305305305304304304304304304304304304305305305305305305305305305305306306307307307308307307307307307307307307306307307307307307307307307307307307306306306306306305305305305304304305305305305306306305305306305305305304304304304303303303302302302303303303303303303303303303303303303303303303304303303303303303303303303302302302302302303303303303302302302302302301301301301302301301301301300300299299299300300299299299299299300300300300301301300300301301301301300300300300300300300300301301300300300300300299299299299299299299298298298299298298298299299298298297297297297297297297297296296295295295294294294295295295294294294294293293293294294294294294294292293292293292293293292293292291291292292292293293292293292292293293293292293292292292292292292292292292292292292291291291291290290290290291291291291291291291291290291291291291291291292292292293293293293293292291291291291290290290290290290290290290289290289290291291291291290290291291291290290290289290290290290290291291290290289289289289290290289289289289289289289289290290289288288288288288289288288288288288289288288289289288288288288289289288288288288287286287287287286286287287287287287287287287287287287287287287287287288287287287287286286287286285286285284286287287287287287286285287287286286286287285284284284283284284285284284285285285285285286286286286286287287286286286286288287287287287287287287288286287286286286287287287286287287287287287287288288287287288287288288287288288287287287287287287287287287287286286285 302300298298297297298298299299298297298298298298299299298301301301302300300300300301300301301301301301302301301301300299299299300299299301303301297999999999999303303302301301301301301301301302303302300302303302303303303303303303304304303304304303304304304304303304303303301301300301301300300300301301302302302302303303304304304305305304303304304303303303302302302302303303302302302303302303302302302302302302303303304304304304304304303303304304305305305304304305306305304304304304303303304304303305304305305304304306304303999999999999303302303304304303302303302301301300299299299298298297296295294293295294293298298298297296297296294293294294295294294294294293293293292293293294294293292293291291291291292293295294295294295295294295296296295297999999999999999999999999999999999999999999299300300301301301301302301301300301300301300301300301300301301301301301302303302302303303303303304304303303303304303304305304304305305305304304304304304304303304303304304304304305305305305305305305304306306306307306308306306306306307307307307306307307307307307307307307307307307307306305306306306305305305305305305305305305305305305305305304304304304304303304303303303302302302302303303303303303303303303303302302303303303303302302303303303303302302302302302302302303303302302302302302302302301301301301301301300301300299299298299299299299299298299299300300300300301301300301300300300300300300299299299299300300300301301300300300300300299299298299299299299298298298298297298299299299298297298297296297297297296296296296295295295294294295295295295295294294294294293294294294294294295294293293293293292293293292292292291291292292292292292292292292292292292292292292291291292292291293292292292292292291291291291291290290290290291291291291291291291293291291291291290291291291292292292293293293292292292292291291290290290290290290290290290289289290290290291291291290290290290290290290290289289290291291290291291291290290289289289290290290290290289289289289289289289289288288288288288288288288288288288288289288288288289289289288288288288288288288286286287288288288287287287287287287287287287287287287287287287287287288287287286287287287287287287287287285286287288286286287286286287287286287286287287286285285284284284285285285285285285285286286286286286286287287287288287287287287287286287287287287287287286286286286287286287287287287286286288287287288288288287287287287287287287287287287288288287287287287286286286285 302302298295297296298297298298297298299297299300301301301303300300301300300300300300301301301302302302301302301301300300300300301299300303305296999999999301302301300301300300301301301301301301301300299301301303303303303303303304304302303302303304303303303304304304303301301301300300301301301301301301302302302303303303304304304305305304305305305304303303303303302301302303302302302302301302303303303302301302302303302303304304304305305304304304305305305305305305305305305305305305304304304304304304304304304304303305302999999300301302303302303303304304303303304302302300299299298298297296295293294294295296294298299300297295295294293293295294295294293294294294293294294293294295295295294293292290292291999294293294296296296295295295295296295297999999999999999999999999999999999999999299300300301301300300301301301301301301301300300300301301301301301302302302302303302302303303303303304304303303304304304304304303304305305304304304304303303303303303304303304304304304305305305305304304304305305306307306306305305306307307306306307306306307307307306307307307307307307307307307306306306305305305305305305305305305305305305305304304304304304304303304304303303302302302302302302303303303303303302302302302302303303303303303302302303302302302302301302302302302302302301301301300301301301301301301301300300300299300299299299299299299299297298299299300300300300300301300300300300300300300300300299300300300300300300300300300300299300299299299299299298298298298298298298299299299298297296297296296296296296296295295295295294293294294295295295295294294294294294294294294294295294293293293293293292292293292292291291291291291291292292292293293292293292292292291292291291291292291292292292291290290291290291290291291290291291291291291291291292292291292291291291291291291291291292293292292291292292291290290290290290289290290290289289289289289290290291290290290290290290290290290290290290291291291291291291291290290289289290290290290290290289289289289290290289289288287287288288288288288288288288289288288288289289288288287288289288288288288287286286287287286287287288288287286287288287287287287287287287287287288287287286286286287287287288288288287286286286286285286285285285287286286286287285285285285284284284284284284284285285286286286285286286286286287287287287287287287286286287286286287287287287287285285285285286286287287286286286287287287287287288287288287287287288288288287287287287287287287286286286285 302302297296296296296296297298298297297297298299300299301300303300301302301300302302302301301301302301300301302301300301300301299301301302304302300300302301300299299299300300300300301301301301301302301302302303302303303303304303303303302302303303304303304304303303302301301300300300300300301301301301302302303304303303303304304304304305305305305304303303302302302301302302302301301301301301303302303303302302302304303303303303304304304305304305306305304304304304305305305305305305304304305305303303303303303301301302999999999300301302302302302302302302303305304303301301300298297298297297295295296295294294294293294295295295295293291292295295295295293293293294294294295296296297295295294293288292292999999999999293296296297296296296999296292294999999999999999999999999999999999999999300300300301301300301301301302302301301300300301300301301302301301302302302302303303302303303303304304304303303303304304304304304304304304303304304303303303303303304304304304304304304304304304304304304305306306306306307307306306306306307307306307306306306306306307308308307307307307307307306306305305305304305305305305305305305305305304304304304304304304303304303303303303303302302302303303303303303303303303303302302302303303303303302302302302302302302302302302302302302301301301301301300301301301300300300300299301300300300299299299300299299299298298299299301300300300300300300300300299299300299300300300300300301300300300300300300300300300300300299299298298298298297298297298299298298297297296296296296296295296295295295295295295294294294295295294295294294294294294294293294294295294293292293292293292293293292291291291291291291292292292292292291292292292292291291291291292292291291291292292291290290290290290290291291291290290291291291291291291291292292291290291291291291291291292292292292291292291291291290290290290290290290290289289289289289289290290290290290290289290289290290291290290290291290291291291291289289289289289289290290290289289289289289289289289289288288287287288288289288288288288289288289288289288288288287288288288288288288287286287287287286287287286286287288288287287288287287286287287287287287286286287286286287287287287287287287286286287286285285285285286287287286285285285285285284284284284283284284284285285286286286285285286286287286287286287287287286286286286287286286287287286286286286285286286286286287287286286286287286287286288288287287287287287287287286287287287287286286286285285285 999297297298297297294295296298298297297297298299301302302302301303302302302302303303302302300301301301301301301301300300299300300301302299299300300300300299300300300300300300301301302301301301301302302303303302302302303302302302302301301303303304304304304303304303302301301301301301301301301300300302302303303304304304304304304304304305305305305304304303303302302302302301301301302300301301302302302303303303304304304303304304305304305305304305304303303303303304305305305304304304302303303304303302303302302302300300999300300300300300300300301302302301301302303303301302299300299298298297297297296296294294293293294295295295295294293294294295295294294294294295296296297298297297294295293292999999999999999999999999296296296295294999999999999999999999999999999999999999999999999999999999999999300300300301301301301301301301301301301301301301301301301301301301302303302303303303303303303303303303303303304304304304304304304303304304303303303304304303304304304304304303303304304304304305305305306305305306306307306306306306306307306306306305305307308308307306307306306306306306306306305305305305305305304304304305305304304304303303304304304303303303303303302303303302303302302303303302302302303303303303303303303303302302302302302302302302301302302302302301301301300300300300300301301300300300300300300300300300299299298300299299299298298299300300300300300300300300300300299300299299299300300300300300300300300300300299299299298298298298298297297297296299298297298298298297297296296296295295296295295295295294294294294294294294295295294295294294293294294294294294293293293293293293292291291292292292291291291291292291291292292292292291291291291291291290291292291291291291291291291291290290290290290290290290290290290290290291291291291291291291291290290290291292292291291291292291291291291291291290290290290290290290289289289289289289289290290290290290290290290290290290290291291291289289290290291291290289289289289289289289289289289289289288288289289289288288287287288288288288289288288289289288288289288287288287288288287288287288288286288287287288288287286287286287288287287287287287287287287287287286287287286287287287287287287287287287287287287286285286286285285286285285285283283284284284284284284284284284285285285286286285285285286285286286286286286286286286287287287286286286287287285285286285286286286286286286287286287286286286286287288289286286287288287287286286286286287287286286286285285285 999999299297297296296296297297297298299299299300301301300302302302302302301302302303302302302301301302302301300301301300300299299300298300298298299298300301301300300300301302301302302302302302302302302302302302302302302302303303301302302302303303303304304304304303302301301301300300301301302301301301302303304303304304304305305304304305304305303303302302303302302302301301301300301301301301301302302301302303304305304304304305304306304304304305304303305303303303303305304304304303303302302302303302301302301301300298299300301301300299299299299299300300301302302302301302300301300299298299298297297297296295295296296295294293293293295295295295295295295295295296296295295297297295294293293290999999999999999999999999296296296295294999999999999999999999999999999999999999999999999999999999999302301300301301301301301301301301301301301301301301301301301301301302302302302302303303303303303302303303303303303304304304304303304303303303303303303304304303303304304304304304304304304304305305304304306306305305306306306305306306306306306306305305305307307308307306306306305306306306306305306305305305305305305305304304304304304303303304304304304303303303303303303303303302303302302302302303302302303303303303302303303303302302302303302302302301302301302302302301301301301300300300301299300300300300299299299299300299299298299299299299299298298299299300300300300300300300300300299300299299299299299299300300299300299300300299298298297297298298297297298297298298297298298298297296296296296296295295296296295295295294294294295295295295295295295295294295294294294294293293294294293293292292292291291292291292291291292291292291291291291291291291291291291291291292292292292291291291291291292291292291290290290290290289289290290290290291291291291291291291290290290290290290290290291291290289291291291290291290290290290291291291290290289289289290290290290290290290290290291290290290291291290290291290290290291291289289289289288289289289289289289289288288288288288288288288288287288288288288288288288288288287287289288289288288287287287287286288288288287287287288287287287287287287288288287287287287287287288287286286286286286287287287287287286287287286287287286287286286286286287286285285288284284284284284284284283284283284285285285285285285286285285285285286286286287288286287286287285286286286287286285285285284285285286287286285285285286286285286285286286287287287288288287287287286286286286286286287286285285285 999999999298298298296297298298297297299299300300303302302301303303302303302302302303302303303302302302302301300301301301300300301301299299299298299300300300300301302302302302302303303302302302301301302302302302302303302302303302302302302302302302304304304304304303302301302302301301301301302302302301302302303303303303303305305304304304304303303302302302302302302301301301301301302301302302301302302303303303303303304305305305305305305304303304306304305305303304304305304303303302302301302301302303302302302301300299999300301301300299298299298299299301300301301301300300300300300299300299299298298298298298298297297296295296294294295295295295294294297296297296296296295296296294293295295293999999999999999999999999297297298296999999999999999999999999999999999999999999999999999999999999999302300301300301301301301301301301300300300301299300301301301301301301302302302302303303304303303302303303303303303304304303304304303304303304304303304304304304304304304304303304304304304304304305306304305305305306306306307306306306306306305305304305306306307307306306306306306306306305305305305305305305305305305304304304304304305304305304304304303304303303303303303303303303302302302302302302302302303303303303303303303302303302302302302302302302302302302302301301301301300300300300300299299299299299299299299299300299298299298299299299299298298298298299300300299300300300300300300299299299299299299299299299300299300299299299299299298298297297298297297297297298297298298298297296296296296296296295295296296295294294294294295295295295295295295295295295294294294294293293293293293292292291291291291291291291291291292291291291291291291291291291292291291291291291291292291291292291291291291291291292289289289289290289290290291290290291291291291291291291290291291290290290290291290291291290290290290289291290290290291291291291290291290289290289289290289289289289290290290290290290290291290290289290290291291290290289290289288288288288289288289288288288288288288288288287287287288288288288288288287287287288288288288288288287287286287287286287287287287287287287288288288288287289288288286288287287287288287287286286286286286286286287287286287287288287287286287288287286287287286287285285285284284284286286284284284284284285285285284285285285285285286285285286286288288288288287286286286287286287287287286285285285286286287286286286286286285286286285285285287287287287287286287287287286286286286287287287286285284285 999999999298299298298296297296297298298299299299302302302301302303302303302303303302301300304304303303302302302301302302302301301301300299300299299300300300301302302302302302302303302302302302301302302301302302302302302302302301301302301302302303304304304304303303301301301301301300302302302302302301302302302303302302304304304304303303303303303302302302302303303302302301301302300301301302302301303303303303303303304304305305305304305305303304305304303304306306303305304303302301301301301302302302302302303302299298300301301300299298298299298299299299300299301300300300301301300300300299299299298298298298298298297296296295294295292293293294296295297297297297296296295293289289289292293999999999999999999999999999296295999999999999999999999999999999999999999999999999999999999999999999999999300301300300300300299301300300300300301300300300301300300300301301302302302302302303304303303303303303303303304304304304303303303304304304303303304304304304304304304303304304304304305305305305306306306305306306306306307307306307306306305305304305305305306306306306306306305305305305305305306305305305305305305304304304304305305305305305304303303304304304303304303303303303303302302301302302302302302303303303303303303302302302302302303302303302302303302301301301301301300300300300300299299299299299300299299300299299298299299299299300298298299299299299299299300300300300300300299299299299299299299299299300300299299300299299299298298299298298298298297298297298297298298298297296296296296296296296295295296295294295295295295295295295295295295295294295294294295294293293293293293293292291291291292291291291291291291292292291291291291291291291292292292291291291292291291292292292291291292292291292290290290290289290290290290290290290291291291291291291291291291290290290289291291291291290290290289289290289290291291291291291291290290290290290288290289289289289289290290290290290290291290291291290290290290291291290290289288288288288288288288288288288288287287288287288288288288287288288288287287287287287287288288288288287287287287288286287287287287288288289289289288289288288288288288289288287287288287287287285286287286286287288287286287287287286287288287286286286285286286287287285285284284286286286284285284284284284284285285285284285285285286285285286286286287287287287286286286286287287287287286286284285286286286286286286286286286285285285286285285286287286287286286286287287287287287286287286286286285284 999999999297297300301298297296297298298298299299300301301301302302302302302302302302302302302302303303302302301301301302302302301301300299300300300300300301302302301302301302302302303302301302302302302301302302303302302303302301301301301303303303303303303304303302302301302301301301302302302302302302302303303303303302303303303304303303303302302301301301302302301301300301300300300301300301301302303304304303303303303304304304304303304304302305304304304305304305303303303302303303302302300302302302302303303302301299301300299299299297298298298296299299299300300301301301302301302301300299300299298298298298299298298297296295295295294294294294295295295296297297295294293287294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300301300300300301300300300301300300300300300301301300300300301301302302302302302303303303303303303303303304304304304304304304304304303303304304304304304304304304304304304304304304305305306306307306306306306306306307306306306306306306306304305305305306306306305305305305304305305305305306306306306306305305304304305304305305304305305304304303304304304304304303303303303302302301302302303302302302303303302303303303302302302303303302302302302302303302301301301301301300300300300299299299300299299299300300300300299299299299298298298299299299299299299299299300300300300300299299299299298299299299299299300300300299299299298299298299299298297298297297297297297298298299298297296296296296296296296296296295295295295295295295295295295295295295295295295295294294293293293293292293293292291292292292292292291291291291291292292292292292292292292292292292292292292292292292292292292292293293293292292291290290290290291291291291291291291290291291291291292291291291291291291291291292292291291291291290289289289290291291291291291291291290290289290290290289289288289289289289290291291291290291291290290290291290290291291290289289289288288288288288288288288288288288288288289289289288288288288288288287288287287288288288288287287287287286287286286286287288288288289289289288288288289288288288288287288288288288288288287287286287287287288288288288287287287287287288286286286286286286287286287287285286286286285285286284284284284284285285285286285286285287286286286287286287287288286285286286286287287287287286285285286285286286286286286286287286286285285286286286286286286287287286286286287287287287286287287286286285284 999999999297299298298297300299298297298299299299301302301302301302302303302302302302302302303302302302302302301302302302301301300300300300299299299300301301302302302302302302303302302303301302302303302301301302302302302302302302301300302302302303304303303303303303302301301301301302302301301301302302302303303303303302302303303303303303303302301301300301301301300300300300301301301301301302302302302304304304303303303303304304304304303304304304305306306306305304304303303302303303302301302302302302302303302302999300299300299300299298298298298298298299299299299301301302302302302302301300300300299298299298299298298298298297296295295294293294294295295296296295294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299299299299299299300299299299299300301301301301300300301301301301302301302303303303303303303303303303304304304304304304304303303304304304304304304304304304304304304304304305306305306306306306306307306306307307307306306306306307307306306305306305305306305305305305304305305305305305305305305306305305305304305304305304304304305304304304304303304303303304303303302302302302302302302302302302302302302302302303303303302302302303303302302302302302301301301301301301301300300300299299299300299300300300299299299299300299299298299300300299300299299300300300300299299299299299299299299299299299299299299299299299299299298298299298298299298298298297298297298298299298299298297297296297296296296296296296296295295295295296295295295295295295295295295295295295294293293292292292292292292291291292292292291291291291291291291291291291292292292292292292292293292292293292293293293292293293293292292293292291291291291291291291291291291291291291291291291291292291292292291292292292292292291290291291291289290290290291291291291290290291290290289290291291289288287289289289289290291291290291291291290290290290291291291291290290290289289289288289289289290288288288288288289289289288289289288288289288288287287288288288287288287287287286286286286286286286287288288289289288289289289288288288289288288288289288288288288287288287287287287287287287287287287287287287287287287287286286285286286286286286285286286285285285285284284284284285285285286286286286285285285286287286285286285286286286287286286286287287286285286286286286286287285285285285285286286286286286287286286286286286286286286287287287287287287287286285285285 999999999298299300298298299298298298298298301302302303302302301302302303303302304303302303302302302302301302302302302302301301300300299299299298299300300301302302302302302303303302302302302302302301301302301300302302301302302301300300301301302303302302302303303303303302302302301301301301302302302302302303303303302302302303303303303303303302301300300301300300300300301300301301302301301301302302302304304304303303303304304305304303303305305304306306307307303304304305302301302302302303302302301303302302302301300299298299300300299299297298299298298299298300299300301301302302301301301300300300299298299299298298298297298297297296295295295294294294295295294294294291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298298298299299299299299299299299300301301301301301301301301301301301302302302302303303303303303303303303304304304304304304304304304304304304304304304304303304304304304305305306306306306306307307307307306306306307307307307307306307305305304304305306305304304305305305305305305305305305305306306305304304304304304305305305305305304304304305304303303304303303302303303302302302302302302302302303303302302302302303302302302302302302302302302302302301301301301300300301301300300300299299300299300300299299299299300300299299299300300300299299300300300300300300299299299299299298299299299299299299299299299299299298298299299299298299299298298298298298298298298299298299299299297297297297296296296296296296296295295296296295295294294295294295295296296295295294293293293293292292292292291291291292291291291291291291291291291291292292292293293292293293293293293293293293294293293293293293292293293293292292291291291291291291291291291291291291291292292292292292293292292293292292292291291291291291291291291291291291290290290289290289289288290287289288287287289288290289289290291291290291290290290290290291291291291290290289289289289289288288289289288288288288288289289288288289288288288288288288288287288288288290288287288287286286286287287287287287287287288289288289289289289289288289289288288289288288288287287288287287287287287287287288288288287287287288288287287287287287287285285284286286286286286285286285285285284284284285285287286285285285285286287286286286286286285286287286286286285286287287286286287287288286285285286286285285285286287286286287286286286286287286286287287286286287287287286286285285284 999999999999298301299300299300299299299299301301301302302302301301302302304303302301302302302302301301303300302302302302301301300300299299299299299300300300301302302302302302302302302301302302302302301302302300300301301301301301300300301301302302303302303303303303303302302302302301301302302302302302303302303303302302302302302302303303303302301301300300302302301300300301300301300301301302302303302303304304304303305304304303303304304305305305306305305305303304304303302303303302303303304303303302302301301300299298297298298299299298299299299298299299298299300300299300301301301301301300300299300300300300299299297298298298297297295294294294295296294294293292295999999999999999299298999999999999999999298292294999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298298299299299299299299299300300301301301301301301301301301301302302302302302302303303303303303303303303303304304304303303304304304303303304303303303303304304304305305305305305306307307307308307307307307307307307307307307306306305305304304305305305304305305304304303304304305305304305305305304304304304304305305305305305304304304304304304304304303303303303302303302303303302302302302302302302302303303303302302301302302302302302302302302302302301300300300301300300300300300299299299299299299298299299299300299299299300300301300300300300300300300300300300300300299299299299298298300300299299299299299299298298298298298298298299299298298298298298297298298298298298299298297297297297296296296295296295296296296295295294294294294295294295295295295294294293293292292292292292292292291292291291291291291291291291291291292292293292293292292292292292292292293294292293293293293293293293293293291293292291291291292291291291292292292292292292292292292292293293293293292292292292292291291291291291291290290290291290290290289290289290289289288289288289289289289289289290290290291290291291291291290291291291291291291290290289289289289288288289288288288288289288289289289289289289290289288289288288288287288288287288287288289288287287287287287287287288287287288288288289289289289289289289288288289288288288287287287287287287287287288287287288288288287287287287288287287287286286285285286284286284283284283284284284285284283284285285285285285284284285285286287285285285286285286286287287287286286286285285285286286287285284285284286284285285286285285286286285286286286286286286287287286286286286286286285285284284 999999999999300298299298299298299299299300302299300301302302302301302302303303303302302302303303302301302302302302303302302301301301300299299299299300300300300300302302302302302302301301302302301301301301301301301300301301301300299300300301301302302303303303303303302302302301301301301301301302302302303302303303303302303302302302302302302302301301301301301301302301302301300300302301301302302303303303304304305303303302302302304305304305305306306306305305305305305305303304304304305304304303302302303302301300299298296297298299298298298300299299298298297298299298299299300300300300300300300299300300300300300299298297297297296295294293294293293295295293294292288999999999999295296294999999293294999999293292294292293291999999999999999999999999999999999999999999999999999999999999999999999999999296298298298298299298299299299299300300301301301301301301301301301302302303303303303303303303303303303303303303304304304305303303304304303303304304303303304303304304305305305305306306306307307308308308308308307308307307308308307306305305304303303305304304304305305305304305304304304304304305305305304304305305305305305305305305305305305304304304305304304303303303302302303302303302302302303303302303302302303303302302302303303303303302301301302302301301301300301301300301300300300298299300301299299299298299299299299299300300300300300300300300300300300300300299300300299300300299299300300299299299299299298298298298298298298298298299298298298298298298298298298298298299299298297297297297296297297297297297296296296296295295294294294295294295295295295294294294294293292292292292292292291291291291291291291291292292292292292292292293292293293293292292293293293293293293293293293293293293293292293293293293293292292291291292292292292292291292292293292293293293293293292292292292292291291291291291291290290290291291291290289289289289289288289288288289288288287289289289290290290291291291290290291290291291291291291291290290290290289289288289289287288289289289289289289289289288290289288288288287287288288288287287286285288286286286286286286287287287287287287288288288289289288288288288288288289287287286288287287287287287287287287287287287287287287287287287288288288287287287286286285285285285284283284284284284284284284284286285284284285284284285285285285286285285286286286286286287285287286286286285285286286286285285285285284285285284285284285285285286286286286287287286287287286286286285286286286285285284 999999999999299298300299298297298297298299298298299301302302302303302302302302303301302302303303302301302302302302302302302302302301301300300300300301301301301301301301302301302302301301301301301301301301301301300300301300300299299299300300300302302303303302303302302302302302302301301301301302302302302302302302303302303302302302302302302301301301301301301302302301302302302302302302302301302302303303303304303304303303302303305306305304305306306305305306306305305303304305305305304304304304303304304304303302300299297297297298298298299300300298297297299297298298298298299299300300299299298298299299299298299299299299298297296295295294294292291294293293292291295999999999299297296296999999291999999999293294294294294292289999999999999999999999999999999999999999999999999999999999999999999999999999297297298298299299299299299300300300300301301301301301301302302302302303303303303303302303303303303303303304304304304304303304304304303303303303304303303303303304304305305305305306306307307307308308308308308307307307307306307305305304303300303305305305305305304305305305304304304303303304304304304304305305305305305305305305304305304304304304304304303303302303303304303303303302303303303303303303302303303303303303303303303302302302301301301302302301301300300300300300300299300298300300299299299298299299299299299299299300300300300300300299300300300300300300299300299299299299299299299300299300299299299299298298297298298298298298297298297298298298298298297296298299298298297297297296296297297297297297296295296296296295295295295294295295295295295294294294294294293292292292292291291291291291291291291291292292292292292292293293293293293293293293293293293293293293293293293293293293293291293293293293292293293293292293293293292293292293292292293293293293293293292292292292291291291291291291291290291291290291290290288289289289288288288289288289288287288288289289289290291290290291290290290290290290291291291291291290290289288289288290289288288288288289288288288289289289289288288288287287288288288287287287286286286286285285286286287287287287287287287288288288288289288287288288288288287287286287287287287287287286287287287287287287287287287287288286288287288286287287287286286286286286285284285284284285284284284285285285285285285285285285286286287286286286286286286286286286286286285286287287287286285286286285286285284284285285285284285285286286286286286286286287288287287287286286286286286285285285 999999999999999301301299298296298297297297297298299300301302302303303302303302301303301302302303301302301302302302302301302302302301301301301301301301301301301301301300302303303302302302302301302301300301301300299300298299299299299299300300301301302303302302302302302302302302302302302301301301302302302302302302303303303303302302302302302302302302301301301302302303302302302302302303302302303303302301303303303302303303303303304305305304305305305306305306306304304305306307306306307305305305306306306306304303301298296297298297297298299299299296297298300299299297298297298299299299298297297297298299297297299296299299299296296296296294294293291291291291292290288999999298297295296296293295292293291999294297295295293292289999999999999999999999999999999999999999999999999999999999999999999999999999297297297298299299299299299300300300301300301300301301302302302302303302303302302302303303303303303303303304304305304304304304304303303303303303304304304303304304304305305305305306307307307308307308308308308307307308307306306306305305304999303304304304305305305305305304304304304304303304304304304305305304305305305305305305305304304304304304304303303302303303303304303303303303303303302303303303303302303303302303302303303302302301301301301301301301300300300300300301300298299299299299298299298299299299299299298299298298299300299299299300300300300300300300300300299299299299299299300299300300299299299299299297297297298297298298298299298299299298298298297297297297298298298298297297297297296296297297297297297296296296296296295295295295295295295294294294293293293293292292292292292292292291291291291291292292293292293293294294294294294293293293294293294294293294293293293293293293294294293293293293292293293293293292292293292292292293292293293293293293293293293293293292291292291291291291291290290291291291291290290289289290289289289289288288288288287288288289289289290290290290290290290290290291291291291291290290289289289289290289290289289289289290289288288289288289289288289288287287288288288288288286287286288286286286286286286287287287287288288288288288288289288288289288287287286287287287287287286287289287287287287287287287287286287287288287288287287287287287286286286286285286285284285285284285285285285284284284284286285285285285286286286285285286286285285285285285285286286286287287287287287287286285286285284285285285285286285285285286286285286287288287287287287287287286287287287286285285 999999999999999301301300299297297299298298299299300300301301302301302303301302302303303301302302302302302303303302301302302302301301302301301301301301301301301302301301301302302302302302302302302301301301301300299299299299299299299299299300301302302302302302303303302302302301301302302301302301303303303302303302302302302302302302302302302302301302302302303303303303303303304304304304303303303303302301302302302302303304303303304304304305304305305305305305305305307308308308308308308307307307309308308306304301299298296296296297297299299299297297297298299300299297297298298298300298298298298297297298298298297297297297297294296296295295294292291291290290290287999999999999295295294294999293294294294293293295295294294292292295999999999999999999999999999999999999999999999999999999999999999999999999296297298298299299300300300300301300301300301300301302302302302302302302302301302302304304303303303303303304305304304304304304304304303303303303303304304304304304304305305305306307307307307308308307308308308308307307307307306306306307304304304305304304305304305304304304304304304304303304304304305304305305304305304304304304304304304305304304304303303303303303303304304303304303303303303303303303302302302302302302302302301301301302302301302301301301300300300300300299299299299299299299299299299299299299299300299299299299299299299300300300300300300300299300300300299299299299299300298299300299299300300299298298297298298298298298299299299299298298297298298298297298298298298297297297298297297297296296297297297296296296297296296296296296295295295293294293292293293293293292292292292291292292292291292292292293293294294294294294294294294294294294294295294294294293294294294294294294294294294292293293293292292293293292292292292292292292293293293293293293293293293293293292293292291291291291290290290291292292292291290291289290290289289288288288287287287287288288288289290290290290290290290291291291291291291290290290290289290290290289290290290289290289289288288287288288288288287287287287287288288288288287286287288286286286286287286287287287288288288288288288288288288288288288288288287288288288288288288288288287287288287287289288287288287288289288288288287290287287287287287286286285286285285285285285286285285284284285285285285285285286286286286286286286285285285285285285286285285285286287287288286286287286285285285285285284285285284286285285286285286288287288289288287287287287287287286286286285 999999999999999301300300299299300299299299298300300301301301302300301301301302303303302301302302302303303303302301302301301302302302302301301302301301302302302301301301302301302302302302302302301300300300300299300300299298298298298299299301301302302303303304304303303302302301302302301302301302303303303303303303303302303303302302302301302302302302302303303303302303303303303303303303303302303303303302301301302302303303302302303303303303304305306306305304304305309309308309308309307308308306309308308306304301300999999297297299299298297298298297300298299299298299298298297298298298298298299299299299299298297297297298297296296296295295294292291290290290288285999999999295295294293294293292294295295295295296296296294294294295999999999999999999999999999999999999999999999293999999999999999999999999296297298298299300300300301300301301300300300300300302302302302302303303302302303302303303303303303303304304305304304305304304305304304303303304304305305304304304305305305306307307308308307308308308308308308308308308308307306306307306304305305305305305305305304305304304304304304304304304304304305304304304304304304303304303304304304304304304304304303303303303303303303303303303303304303303302302302302302301302301301301301301301302302302302301301300300301300299300300299299299299299299300299299299299300300299300299299299299299299299299300299300300300300300300300300299299300300300300300300300300300299298298299299298298298298299299299299299299298298298298298298298299299299298297298298298297297297297297297297297297297297297296296296296296295295294294293293292293293292292293292292293292292292292292293293294294294294294294295294295295294295295295295295295295295295295295294294294295294294293293293293293292293293293292293294294293294293293293293294294293293294294293293293292292291292292290291291292292291291290290291290290290289289289288289286287287287288288288289290290290290290290291291292291290291291291291291291290291291290291290291290290291290290289289289289288288287288288289287288288288288288287287286288288287287287287287287287287288288288288288289289288288288288288288288288289289288288288289289289289289288288288289288287287287288287288287287287289288287287286286287287286286286285285285285285285285285286285285285285285286286286286286286286286284285285286285285285286285285286286286286286286286286285285285284285284285284284285285285285286286287287287288287287287288288288288288285285285 999999999999301300300301298300301300298299300300301301301301301301300300300301302302301301301302301302302302301301301302302301301301300301301302301301301301302302302302302301301302303302302301301300300300299300300300300298298299299299300301302302302302303303303302303302302302302302301302302303302302302303303303302303303303302301302303303302302302302303303303302302302303303303303303303302302303303302301301301301302301301302302302303303303305306307308306308306309309308309308310310311310309310310309308307305301999299298298299299301299299299299298299298300300300299299297297299298298298299298299299300298298298298298296295296296295294294292291290289289286999999999298296295294294296296295294295295296297297298294295294293999999999999999999999999999999999999999999999999289289999999999999999999295297297298298299300301301302302301301301301301301302302303303303303303303302302303302303302302303303303304304304304304304304304304304304304304304305305305304305305305306306306307307308308307307308308308308309309309307308308307307308307305306306305305305305305305304304304305305304304305305305305304304304303304304304304304303303304304304304304304303303303303304303304304304303303304304303303303303302302303302302302302301301301302302302302302302301300301300300299299299300299299299299300300299299299299300300299300300300300300300300299300300300300301301300300301301300300299300300301300301300300300300299299299299299298298299299299299299299299299299298298298299299299299299299299298298298298298298298297297297297297297297297297297297297296296296295295294294293292292293293293292292293293293293294294294294294294294294294294294294295295295295295295295295295295295295295295294294294294295294294294294293294294293293292292293294294294294294294294292293294295294294293294293293293293292292292292292292292292291291291291291291291290290289289289288288289287288288288289289289289290290290290291291291291291290290290290290290291291291290291291291291291291290291290289290289289289288289289289288288288289288289289287288288288288289288287287287287288288288288289289289289289289289290289288289289289289289289289289289292290290289289288289289289288288288287287288288287287287287287288288287287287286287286286286286286285286284285286286286286286286286287287286286286285285286286286286285285286286285285285286286286286286285284285285285284285284284284284285285285284285286287287287287287287286287287287287287286285285 999999999999999999999300300301300300300301301300301301301302301302302302300300301301302301302301302301302302303302302301302301301301302301301301302301301301301302302302301301303302301301301301301300300300299299300300300300299299299300300301301300301302303302302301302301302302303302302302302302302302303303303303303302302302302302302303302302301302302303304304302302303304303302302303303302303303302302301301301302302302301302303303303304304305308308309307309312309309309309309310310310311312310309309308308307302300301300300301300301302300300299301300299299299299299299300297299299298298298298299298298298298298298297297297296296295294294292292291290288284999999999296298295295295297296296296295294295297297298294295293999999999999999999999999999999999999999999999999295999290291999999999999296296298298299299300300301301301302302302302301301303303303303303303304304304304303303303303302302303303303304304304304305304304304304304305305305304305305305305305305305306307307307308308308307308308308308309308309308308308308307306304307306306306306305305304305305304305304304304304304305304305305305305304304304303303303304303304304304304304304304303304304304304304303304304304304304304303302303303302303303303302302302301301301302301301302301302301301301301300300300300300299299299298300299300300300300300300299300301301300300300300300299300300300301301301301301301301300300300300299300300300300300300299299299299298299299299300299300299299299299299298298299299298299299298299299299298298298298298298298297297297298297298298297297298297297296296295295295294293293293293293292292293293294294294294294294294295295295295294294295295295295295295294295295295295295295295295295295295295295295295295294294293295294295294294293294294295295295295294295294293294294294293292293293293293293293292293292293293292292292292292292291292292291290290290289289289287287288288288289290289290290291291290291291291291291291290290290290290290291290291291291291291292291291291291291290291289289289289290289289288288290289289289288289289289288288288287287288288288288289289289290289290290289289289289289289289289289290290290290289289290290289289289289288288288289287288288287288287285287288287287286287287287286287287286287286285285285285286286286286286286286285286286286285285286286285285285286285285285285285285285286285286286285286285285285285285284285285285284285285285285285286286287288287286286287287288287287287286285285 999999999999999999999999302298299300301302303300300300301301301301302302300299301300301301301302303301302303302302302301299301300300301300301301300302301302302303302302301302302302302301301301300301300299299299299300299299300299300299300301300301302303301302302303302302301301301302303302302303301302303303303304302305303302303302303303303301302303302304304304303303303303303303303303303303303303302302301300301302302302302303303303305306305305308309310311310310309309309309309309310311311311310306306999305303301999302305304303303301302301300300300298298300302300298300300297297297297298298298297298298298299299299298297297297296295294293293290289288288285281999999291295296295296296296298296296296296295296295295295293999999999999999999999999999999999999999999999296297999295295999999999299297298298300300300301300301301301302302301302301303303304304303303302302304303303302303303303302303304305304304305305304304304304304303304305305305305306306306305305305306306307307308308309308308308308308308308308308308308308308308306306308307306306306306305305305305305305305305305305304304304305304304305304304304304304303303303304304304303304304304304305305304304304304303304304304304304303303303303302303303302302301301301302302301302302302302302301302301301300300300300300299299299300300299299299299300301300300300301301301301301301300299300300300301301301301301301301301300300301301300300300300300299299299299299299300300299300300300300300299300299299299299299299299299299299298299299299298298298298298298298298297298298298297298298297297297296295295295294294294293293293293294294294294294295294295295295295295295295295295295296296295295295295295295295295296296296295295295295296295295295295294293294294294295294294293294295295295295296295295295294296294294294294293293294293292293292293293293293293292292292292291292292291292291291290290288289289288287287288289289290290290291291291291292292291290290291290290291291290290291291292292291291291291292291291291291291290289289290290290290289289288289288289289289289289289288289288287288288288288289289290290289289289289288288289290289289289289289290290290290290290290290290289289289289288289289289287287287287287287288287287287287287286287286286287286287286285286286286286287286286286286286286286286285286286286285285286285285285285284285285286285285286287286285285286285285285286285285285285285286286285286286286286286286286287287287287287287286286286286 999999999999999999999999999999300300300999300300299298299300300301301300300300300301300301302302302300301300301301299300299299299300300301301301300302302302303302302301301302301301301301301300300300300298298299299298298298298298299299300300301301302302302302301303303300301301302303302304301301302302303302301301302302303301301302302303302302302302303303303303302302304303304304305304303303303302302301302301302302302302302303304305307308307306309309311310310307310309310310310310310312311310309306308999303302999999306305303305304304303304301300300299300300300301300299298297296296297298297296296299299300299299297299299296294295293292292292289286287289288285286288291295296296297297297296296298297297296295295296296294999999999999999999999999999999999999999999297298298298298298297999300299299299300300301301301301301301301302301301301301303304304304302302301301303302302303303303303303304304304304304304304304304304304303303304303304304305305305306305305306306306307307307307308308308308308307308307308308308308308308307307308307307306306306306305304305304305305306306305305304305305305305305305304304303303303303303303303304304303304304305305305305304305304304303304304304303303304303303303303303303302301301301301302302302302301301301302302302301300300300299299299299299298299298298299300300301301301301301301301301301301301300300299300300300301301301301301301301300301301301301301300300299299299300300299299299299300300300299300299300299299299299299299299299299299299299298299299299298298298298298298298298298298298297297297297296296296296295295295295294294294294294295295295294295295295295294295295295296295296295296296296296296295296296295296295295296296296296296295295295295296295295294295295294294295294294294294294295295295295297295999999294295294294293293293293293293293293292293292292291293292293293293292291292291291291289288289289289288289288289290290291291291291291292291291291291291291291290291291290290291291292292292291291291292291290290290291290290290290290290291289289288289288289288288288289289288288289288288289288289290289290290290290290290289289290290289289289289289290290290290290289290290290289289289289288289289288288288287287288287287287287287287287287286286286286286286286286285285285286286286286285286286286286286285285285286286286285284284285285285285285285285286286287285285285285286286286286286286286285286285286286286286287286286286286286287287288287287286286286286 999999999999999999999999999999999999999999999999299299299299298299300300299298299300300300301301301301300300300300299299299298298299299301300301300302302302302302302301301301301300300300300299299300299298298298299298297297297298298298299298300300301300302302302302302302303301302303300300300300300301301301301300301302299302300300301301303302302301302303302302302301302302303303303303302302303301300300301301302302302302303303304305307307307309310308307307308311311309308309311310311311312309310309999999301301999999305307306305305304304303303303301301303301301301299299297296296296297296296295296298299299299299299299297297296295291290288287287287289290289288287288291293296298297297298299298298297297295297296294294291999999999999999999999999999999999999999999299299300299300299297999298299299300301301301301301300302302302302302302303303304303304303302302302302302301302303303302303303303302303303304304304303304304304304304304304304304305305306306306306306306306307307307307308308308308308308308308307308308308308307307308308307307306306305305305306305305305305305305306305305305305305305304304304305304304304304304303303303304304304304305305305305304304304303303304304304303303303303303303303302302302301301301301301301302302301302301301302301301300300300300299300299299299299298298298299300300301301301300301301300300301301300300300301300300300301300300301301301300302301301301300300300300299299300300299298299299300301300300300299299299299299300299299299298298299298299299299300298298298298298298298298298298298297297297296296296296296296295295295295295295295295295295295295296296296295295295295295296296296296296296296296296296296296296296296296296295296296296295295295295295295295295295295295294294294294295294294294295295295295295295295295294294294294293293293293292292292292292292292291293292292293292293292291291291290290290290290290289290289289289290291291291291291292292291291291290290291291290290290290290291291291292292292291291291290290289289288291290289289289290289290289289289288288289289289289288289289289288288290290290289289290290289290288288288288289289289290290288289289289289289289288288288289289289289288288288288287288287287287287287287287286287287287287286286286286286286286285285285285285285286286287286286286286286286286286286286286285286285285285285285285286286286287288287286286286286286286286286286286286286286286285286286286286286286286286287287287286287286286286285 999999999999999999999999999999999999999999999999999299299297298300299299299299300300300301302300299300301301300300300299299299298298299300300300301301301302303302302301300300300300300299299299299298297298298299298298297298298298298298300301300301301302303302301302302302302302302301300300301301301301301301301300301300303301301301301303302303304299302303302302304303301301303304304303303303302300301300300301301301300301303304305305307307306305305306305306306307311309308308311311310311311310308307999999301999999999999300300305303302303303303302303302300300300301299298297297297297297298297297298298299298298299299299297295295292287287288289289288289288290999999999289294296297296297297297297295297297296295295294293292999999999999999999999999999999999999999999299299300301301301299999298299300300301301300301301301302302302302302302302302302303302302303302302302302302301302301302302302302303303303303303304304304304304305305304304304304304305306306305306306306306306307306307307308308307308308307307307307307307307307308308307307307306306305305305305305304304304304305305305305306305305304304304305304304304304304304303303303304304305305304304304304304304303303303303303304304303303302303302302302302302301300301301301301301302302301302302301301301300300300300299299299299299299299299299300299300300301301300300300301300300300300300300300300300301300300300300300301301301301302301300300301301300300300300300300300299300300300300300300299300299300299299299299298299298298298298299298298298298298298298298298298298298297297297296296295295295295295294294294295295295295295295295295295296295295295295296296296295295296296296296296296296296296296296295296295296296295294294296295295295295295295295294295295295294294295295293293294294294294295294295294294293293293293293293292292292292291291291290291293292292292292292291291291291290289291290290290290290289289289290290291291291291291291291291290290289291289289290290291291291291290290290290291290291290289290289289289289289289288288289288289288288290289289289290289289289289289289289290289289288289289290289289288289289288290290290290289289289288289289289289287287288289289289289289288288287287287287288287288287287287286287287287287286286286287286286286286286286286285286286286287287286286287286287287287286286285286286286285286285285286286286287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286287286286286 300999999999999999999999999999999999999999999999999300301297297296300300299300299300299300301301301300301301300301300300300298298300299299299299301301300301302301301300300299300300299299299299299298298299298299299298298298299299299299300301301301302302301301301302302303302302303301301301301302301301301301300298300297298301300298301302304304302303302302302303302302300302301303303304302302302302301301301301302302301301304305304305306306305305304306308307306306307306307308308310310311311309306999999999999999999999999999999303301302302302302302303301302299299298300298299300297297299298297295296297298298298298299298295293291288288288291290292292291289285999999999295295296296297297297297296296297297296295295294294293289999999999999999999999999999999999999999999298299301301300299999298299300300301301301301301301301302302302303302302302302302301301301301300300300300300301301301302302302302302303302303302303303303303305304304303304304304305305305305305305305305305306306306306307307307307307307307306306307307307308307307307307307307306305305304305305304304304304304304304305305305305305305304303304304304304304303303303303303303303303304303303303303302302302303302302303303302302302302301301301301301301301301301301301301301301301301301301301300300300300299299299299299298299298299299299299299299300300300300300300300300300299299299300300301301300300299300300301301302301301302301301301301300300300300299300299299299300299299300299299299298298299298298298298298298298298298298297297297297297297297297297298298298296296296296295295294295295295294295295295295295295295295295295295295295295295294295295295295295295295295295296295296296296295295295296296295295295295295295295294294295295296295295295295294295295294295294294294294294294294294295295294293293293293293293293292292291292292290291291292291292292292293293293291290290292289290290289289289289289290290290291291291291291291292291291291290289290290290290290291291291291290291291291291291290290291290289290290290290290290290289289288288288289289289289290289289289290289290290290290289289290289290290289289288289289289288289288288287288287288288288288287288289289289288289288288287287287288287287288287287287287287287286287287287286286287286286286287286286286286286286287287287287287287287286287286286286286286286286285285285286286286287287287287286286286286286286286286286286285285286286286286286286286286286286285285286286286286286286286287 300999999999999999999999999999999999999999999999999999299298298296299298299299300300299301301301301301300300300301300299300299299298298299298299301301302301301300300300299300299300299300300300299299299299299299299299298299299299300300301301302301301302302301302302303303302303302301302300300300300301300301300300299299300299298299300302301302301305300303303303304303302302300301302303304303302302302302303302302302302302302304305304305304304305304306308307307307309308305306308307309309309306306999999999999999999999999999999999999302301301302302303303300301301298299300298298297297297296295294295296297296296295298295292289287287289289291291293292290288286999999294295297296297297297297297296297297296296296296295294293999999999999999999999999999999999999999999999999298300301300299999299300300301301301301301302302301302303303303302301301301301300301300300301300300299300300301301302302302302302303303302302302303302302303303303303304304304304304304304305304305305304305305306306306307307307308307308307307307307307307307307307306307306305305304305305304305304304304304304304304305305305304304304304304304304304304303304303303303303303303303303302302302302302302302303303302302302301301302301301301301301301300301301301301301301300301301301301300300299300300299299299299298298298298298299299299299299300300300300299299300299299299299299300300300301300300300300300300301301301301302301301301300301301300300300301300299299300300300299299299299299299297298298298298298298298297298298298297298297297297297297297298297297297296297296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294295296295295294295296296296295295295295294294295295295295295295295296295296295295295294295295294294294294294294294295294294294293293293292293293293292291291291291291290291292292292293293293292292291290291290290289289288288289288289290290290291291291291291291292292291291291290290290291290291291290291291291291290290291290290290290290290289290290290290291290290290288287288289289289289290289289289289290290290290291290289290291291292292290290290289288288288288287287288287288287287287287288288288288288288288288288288288288288288287287287287287287287286286286286287286286286286286286286286286286286286286287287288287287287287287286286286286286286285285285286285285285286286286286286286286286287287286286286286286287286286286286286286286286286285285285286286286285285286286286 301999999999999999999999999999999999999999999999999999999299299298299299297298299297299300301300300301300300299299299299300300299299300301299299300300301301301300299298299299299299299300300299298299300300300299298299299299299299301301301301302301301302302302302303303303303303303301300300300300298299301301299300299297300300298301302303302301303304301303302302305302301300301302302303304302301301303302302302302302302303303303302302304304306305304306309308308309308308309308308309308307307999999999999999999999999999999999999999999300300301300302302303300301301298298297298298299297296296294294295297297295296296296294288289287289292290288290290288289287287283287294296296297297297298298296297296295296296296296296295295292999999999999999999999999999999999999999999999299300301300300299299301301301301301301301302302302302303303303302302301301301301300300300301301300300300301301301302302301302301301301302301302302302302302303302303304304304303303304304304305304304304304305305305306306306307307307307307306306306307307307307306306306306305305305305305304304304304304304304304304305305305305305304304304304304304304303303303303303303302303303302303302302302302302302302303303303302302301301301301301301301301301301301301301301301300301301301300299298298299298299298298298298298298298298299298299299299299300300299299299299299299299299299300301301300301300301301301301301301301301301301301301301301301301301301300300300300300301300300300299299299299298298299299299298298298298298298298298298298298297297297297298297296296296296296295295296295295295295295295295295295295295295295295295296295296295295296296295295295295295295295295295295294295295295296295295295295295294295295295295295296296296295295296295295296295295295294294294293294294294294294293294293292293292293293292291291291291292291291291291292292291292291292292291290291290289289288287287288288289289289290291291291290291291293292291291291290291291291291292291291291292291291290290291290290291291291291290289289289289289291290289289289288289289289291290289290290290290290290289290290291291291291292291290290289290289287289286286286286288288287287287288288288288288289288289288288288288288288287287287288287287286287287286287286286286286286285286286285285286287286286286286287287287288287287287287286286286286285285285285286286285285285287286286285286286286286286286286286286286286286286286286286285286286286286285285285285285285285285285286 301301999999999999999999999999999999999999999999999999999999302300299299300296300298298300301300300301300299299300299298299300300300300300299298299299300300300300300298298298299298299299299298299299299299299300299298298298299299300301302301301301302302302302302303303303303303302301301301300300299299299298298299298296298300305300300302300300301301302301302303303302301301300301301301301301301300300304303304304304303303303302303303303304305305305306307307306306306307306306310309307305999999999999999999999999999999999999999999999303303301299302301302302301301298297299300299299299297295295294295295295295293293291289289290288290291290288289288288287285286290294295295296296297297298298298298296296295296297297297297297294292999999999999999999999999999999999999999999999300300301301300300301302301301301301301302303303303303303303301301301301301301301300300301301301300301300300301301301301301301301302302301302301301301302302303302303303303303304303303303304303304303304305304305305306306307307307307307307307307307307307306306306306306305306305305304305305304304304304303304304304305304305304304304304304304304304303303304303303303303303302303302302302302302302302302303302302302301302301301301301300300301301301301301301301301300300300300299299298298298298298298297298299298298298298298298299299298299299300299300299298300299299300300301301300300303302302301301301301302301301302301302301302301301301301301301300300300301301300299299300300300300299299299299298298298298298298298298298298298297297298298298297297296296296295295295296296296296296296295295295295295295294295295295296296296296296296295296295295296295295295295296296295294295295295295295295295295296296296296296296296297296296296295296296295296295295295294293295294293294294294294293293293293292292292293292292292292291292291291291292292293292292292292291292291290290289289288288288289288289290289290290291291291291291293292292292291291292291292291292291292291291291291291291291290291291291291291290289289289290290290291290290289289289290289291290290289290290290290289290291289290291291290291291290289290289288288286288285286285287287287286286287287287288289288288288288287287287288287287287287286287287286286286286286286286286285286285285285285285286286286285286286286287287287287287286286287286285285285286286285286286285285286286286285286285286285285285286286286286286286286286286286285285285285286286285285285285285285285285286286 301301301999999999999999999999999999999999999999999999999999999999999299300300297299299300301300299299300299299300300299300300299299300300299297297298299300300300301300299299300300300300299299299299299299298298299299300299300300300300301301301301302302302303302302302302304302302300300301300300299299299298298298299298299299299299301300300300299304304304301302301302301300299298299299298300300300299301304303304300300302303303304304303303304306307306307307307307307307306307309308303304999999999999999999999999999999999999999999301303303300300302301301302301300300298300299297297298294294294293293294294295294288287288291291288287280286288287286286288284287292294294295295295297297297297299298297296296297297296296297297296294293999999999999999999999999999999999999999999300300300300300301301302301301301301302302303303303304303303302301301300300301300300300300301300300300300300300299300300300300300300301300301300301301302302302302302303303302302303302302303303304303303304304304305306306307307307307306307307306306306306306306306306306306306304304305305305304304303304304304304305304304305304304304303304304303303303303304304304303303303303303302301302302302302303302302302302302301301301301301300300300300301301301300300300300299299299299299299298298298298298298298298299298298299298298298298298299299299299299299299298299299299300300301300302301302302301302301301302302302302302301302302301302301300301301301300300299300301301299299300300300299299298299299297298298298298298298299298298298297298297298297297296296295296296296296296296296296296296295295294295295295294295295295295296296296296296296296296296295296296295295295295295295294295295295295295295295295295296296295295295295296296296295296296295295294294294293293294294293293293293293293293292292292292292292291291292292292291291291291292292292292292292291291290290290290289289289289288288289289289290290289290290291293291293292292291291292290291291291291292292292291292292291291291291290292291291291291289291291289290290291290290291290288290289289290290289289289289289289289290290289290290290290289289289289288288289286286285286287289288286286286287288287287288288288288287287287286287286288288288287287287287286286285286286286286286286285285285285285287287285286286286286287287287287286286286286286285285285285286286285285285285285285285286285285285285285285286286286286286286286285285285285286285286286285285285286286286286286285285286 302301301999999999999999999999999999999999999999999999999999999999999999303303299299299300300301300299299299299301300300300300299298298299296296297296299299300302302301300299300300300300300300301300300300299299299300299300300301301301301302301302302302302303302302302302302302302301301300300299299299299298299299300299298298300299301300300300299305304302301302302302301300300297298298298299298300301301301300304301301303302303304305304304305306309309309310307309310307307310307306304999999999999999999999999999999999999999999999298302300299301302301301301301301300297299299295295295293292292292291292291292287286288290291291288284999290285286284283284288286291294295294297296298297297296297295296296297297296297297295296296296295293292999999999999999999297297999999999999300300300300300301302302302302301302302303303304304303303302301302301300301300300300300299300299299300299299299299298299299299299299299299300300301300301301302302301301302302302303303303302303303303303303304304305305306306306307307307307306306306306306306306305306305306305304304304305304304303303303304303304305305305305305304304304304303303303302302303303302303303303303302301301301301300302302302301301301301301301300301300300300300300300300300300299299299299300299298299298298298298297298298298298298298298298298299298298298299299298298298298298298298298300300301301301301301301301300302302302302302302301302302301301301301301302300300300300299300300300300300300299299299298299298297298298298298299298298298298298298298298297297297297297296296296296295296296296295296295296295294295295294295295294295295295295295296296296296296296296295295296295295295295296295295294294295295295295295295295295295295295296295295294295295295295296296294295293294293293293293293293293293293293292292291291292292292291292291292292291291291291291292292292291291291291289291290290289289289289289288288289289290291290290290291294292292293292292292290291291291292292292292292292292292291291291292291291291291291290291291290289289290288290290290289290289289290290288290289289289290290290291289290290291290289290289290289289289289288289287284287288288285287286288288288287288288288288288288287286287287286287286287287287287286287286286286287287287286286285285286286287286286286287287287287287287287286286286286286286286286286286286286285285286285286286285284285285285285285286286286286286286286286286286286286286285286286286286285286287286286286286286 302302301301999999999999999999999999999999999999999999999999999999999999302301299301301301298299299299299301300301302300301299300299299299297297297297299300301301301301301300301300300300300301300301300300300298299300299300300301301301302301301302302302302303301301302300301302301301301301301299299299299299300299299299298299300298300300300300300300300300300300300301300299299298298299298297298298299299299301300299301304305305305306306305306306312311308307307308308308308309307306303999999999999999999999999999999999999999999999999296297999302301301301301300301300298298296295294294294292291291290291286291285286289293293291288999999999999999289289291294294294294294295297297299297297296298296296298297296297296297297296296296296296297298298999999999999297297999999999999300300299300300301303303303302302302303303303303303303303303303302302302300300300300300300300299297299298298298298297298298298298299298300300300300300301301300301301301302302301302302302303303304304303304304304305305305306306306307306306306306306305306306306306305305305305305305305305304304304304304305305305305305305305305304304304304303303304303303303302302303303303303303302301301301301301301301301300301301301300300300300300300300299299299300299299299299300300299299298298298298298299298299299298298298298299299299299299299299298298297298298299299299298300300300301301301301301302302301302302302302301302302301301302302301301301300300301301301300301300300300300299300299299299298298299298298298299298298298298298298298298298298297297297296296296296297296295295295295295295295296295295295295294294294295295295296296296296296296297296296296296295295295295296296296295295295295294295294295295294295295295295296295295295295296295295295295294294293293293293293293294293293292293293293292292292292292292292292291292291291291291291292291291291292291291290290290290289289290290290290289288290291292291291291292293293293292293292292292292291291292293292292292292292292292292292291291292292292292292292291290290289290290289290291290290289289290290290291290290289290290290289290290291291290289288289290289289289289290289289288288289289288288286287288289287288288288288287287287286286287287287287287287287287287286286287287287287287287286285286286286287287286286286287287287287287286287287286286286286287286286286285285285285285285285285285284284285285285285286286286286286286286286286286285286285285285285285285286286286285286286286286 302302301301999999999999999999999999999999999999999999999999999999999999999300300299300302299300299300300298300301301300301301301300300299298298298299299300301301301300300300300299299300301301301301300300300300299300300300301301301300300301301301302302302303301301301299299300301301301300300300300299299299300300298299300299298298299300300299300301301302301302298299300300303298297298298297298299299300300301303302303303304306303304305306307307306307306307306306305306306305304304999999999999999999999999999999999999999999999999999999999999999301300298298298298298298296293292293292294290292289290291288287290289292293292289286284283288295295294295295294295295297297296297296295296301300300301300298296298297297298297297298298298298298299299299297296294294999999999999300300299300301301302303303302301302302303303303303303303303302303302302300301300300300299299299299298299298298298298298298298297298298299300299300299301299299300301301301300301301302303303303303303303303304305304305305305306306307307306306306305306306306306306306305305305305305306305305305305305305305305306306305305305305305304303304304304304304303303303303303303304303303303303302301301301301301301301301301300301301301301300300300300300300300300299299299299299300299299299299298298299299299298298299298298298299299299299299299299299298297298299298300299298299299300300299301301302302302302303302303302302303303303302302302302301301301301302301302302301301301300300300300299299299299299299299299299299298298298298299298299299298298298298297297297297296296296296296295295295295296295294295296296295295295295295295296296296297297297296296297296296295295296296296296295295295294295294294294295294295295295295295295296296295296295295295295294294293294292293293293293293293294293292293293293292292292292292292292291290290291291292291292292291292291291290290290290289289289289289289290289289290291291291291291292292292292292292292292292292293292292292293292293292293292292292292292292292292292291291290291289290290289289289289290289288289290290290289292290290290290290290289290291291290290288288288289289288289290289288287287288288287289287286287286287287288288288287287287286287286286287287287287287287287287286286286286286287287286286286286286286286286286286286286287287287286286287287286286286286287286287286286285285285286285285285285284284285284285285285286286286286286286286286286286286285285286285285286286286286285285286287287 302302302301999999999999999999999999999999999999999999999999999999999999999999300299300299298299297298299298298300301300301302301301299298299298298300299300300301300300300299299300300299300300300300301300300301301301300300300301301300300301301301301302302302301302301301300301301302302300300299298299299300300300299299300300302299300300300297301302302301301302300301301300297300297298299298299299299300300301302302303304303302303304305307308309309307307307309307306302305302304999999999999999999999999999999999999999999999999999999999999303302300999999297297296297297296291291291295293292293293292292292293293292292293293290285284286293296296296295295295297295296295294297297297298296296297301299298297296297297297298298299299299298299299300299298298296295999999999301301300299300301302303302303302302302303303303303303303303302302301301300300300300300299299299298298297297297297299299297298297298298299299300300298299299300300300300301300301302301302302303302303303303304303304305305305305305306307307306306305306306306306306306305306305305306306306305305306305305306305305306306304304304305303303304304304304303303302303303303303303303303303302302301301301300300300301300300301300300300300300300300300300300300300300300299299299299299299299298299298297297298298298298299299299298299299299298299298297297297298298298298299299298298300301300300300301301301301301302302302302303302302303302302302301302301301302302302302302302301300300301300300299299299300300299299299299298299298298298298298298298298298298298297297297297297296296296296296295295295295296296296296296295295295296296296296296296297297297296296296296296295295295295295295295294294294294294294294294294294294295295296295296296296295295295295294294293294293291293293293293292293292293293293292292292291291291292292292291291292291290291290291290291291290290290290289289289288289289289290289289289289291289291291292292292292292292291292292292292292292292293292293293292292292292292292291292291291291291290290290290290290289289290290290290289290289289290289291290290290291290290290289290290290289289289289289289288289289289288288286286286287287285285286286287287288288288287286286287287287287287288287287288287287287287286286286286286286286286286286287286287286286286286287287287287287287287287287287287287287287287286286286285285285285285285284284285285285285286286286286286287286286286286286286286286286285285286286285286286286285286286286 302302302301999999999999999999999999999999999999999999999999999999999999999999999300300297300301297298299297298299299299302302300298298299298298299299298299299300300300300300299300300299299300299300301301300301301300300300300301301301300300300300300301301301301300302302301300301301301300299298299297298297298299299298299302301299299300300300300302303302300300300301300301301298298298299299301301300300303304303304304304303304304304305306308308308308308307306305307304304301299999999999999999999999999999999999999999999999999999999999999999999999999999999999296296297296294291291292293293293293293292293294293293293292289287285286293296296296296296295297297297297297298298297298297297296297297298296297297297297297298299299299299299300300300300299299299298297999299301301301301301303303303302303303303302303304303304304303302302301302301301300300300300299300300299298299298300299299300299299298298299299300300299300298298299299300300300300301300302302302302303303304304304304304305304304305306306307306306306306306305306306305305305305306306306306306306306306306305305306306305305305305304305304303304304304304304303303302302303303303303303303303302302300301301300301300300300300300300300300300300300300300300300300300300299299298298298299298298299298298298298298298299299298299299299299299298299298298297297297298298299299299299299299300300300300300300301302301302302303302302302303303302302302302302302301302302302302301301301301301300300300300300299300299299299299298298299298298298298298299299298298298298298297297297297296296296296296296296296296296296297297295295295295295296296296297297297297297298298296296296296296296295295295295294294294294294294294294295295294295295296296296296296296295296296295295294294294293293294293293293292292293293293293293292292292291291291291291292292291291291291291290290290289290290289290289289289289290289290290290290290291291291292292292292293293293294294293294293293292292293293292293293293292293293292292292291291291290290290291290289289289289289290290290290290290290290290290291290291290291290290290289290290290290290289289289288288289288288289287287286287286286287285286286287288288287287287287287287287287287287287287287287287287287286286286286286285286286286286286286286286286287287286287287287287287287288288287287287287287286286286285285284284285285284284285285285285285286286286286286286286287286288287287287286286286285285286285286286285285286286286 299301303298999999999999999999999999999999999999999999999999999999999999999999999999999298299300300297297297297298298299300301299297297298298298298298298299299299300301299299299299299299300299299299300300300301300300300300300300300301300299300300300300301300301301301301300300300301300300300298297297297297298298297297297298298298299298300300300302302301301299300301301302302300298298299301300302301301304305305305303303304305305305306306308308308308308305306306306305304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295293291290292293293293292292293294294295294289288285285291288295296295295295295295296296297296296296298297297297298298298296297297297298297298298298299300299300301300300300300300300300299299297298301302301302301302302303303303302302303304303304303303303303302302301302301301300300300300300300299298299298298301299300300300300300299299300301300300300301299300300299300300300300301301301303303303304303304304304304303304305306306306306306306306305305305305305305304306306306306306305305305306305305305305305305306304304304304303304303303303303303302302301301301302301301302303302303302302301300300301300300300300300300300300300300300300300300300300300299299298297298298298298298298298298298298297298299300298299299299299298298298298298297298297297298298299298298299299300300299299300300301302302302302303302302302303303302302302302302302301302303302301301302301302301301301301300300299300298299298298298298298298298298298298299299299299298299298297297297297297296296296296295295296296296296296296296294295295296296296297296297297297297298296296296295296296296296295295295294294294294294295294295294295294295296296297296296296296296296296295295293294294294293293293292292292292293293293293292293292292292292292292291291291291291292292291291290289289290290289289289289289289289289290290290290291291291291292294293293293293293293293293293293292292292292292293292293293292292292291292291291291291290290291290289289290289289290290290289290290291291291291290290290290290291291290290290289290290290290289289289288288288288288288288286286287286287287286285285286287287287287287286287287287287287287287287287287287287287286286286286286286286286286287286286286286286287287287287287287287287288288288288287287287287287286286286285285286284284284285285285285285285286286286286287286286286286286287287287287286285285286285285285286286286285286286 301299999301999999999999999999999999999999999999999999999999999999999999999999999999999999300299298298296297298298299299299299298297297297297298298299299299299298300299299299299299299298299299299298299299300300300300299299300299301300301300299300300301301301301302301302302301301301301301300299298297298298298298297297296297297298299299300301301301301302302300300301302302303300300299299300301302302305304306306306306305307306305306306305306306307306306305304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291288289293294293294293293293294293291289286282284291294295295295295295295295295295297296296297296297295297298298298297297298298298299298299298299300301301301301301300301300300300300300299297301300302302302302302302303303302302304304303303303303303303303302302301300300300300300300299300299299299298299299299299300300301302301300299300301301301302302302301299300299300300300301301301302302302303303303304304304304305305305305305306305305306305306305305305304304304304306305305305305305305305305305305304306305304304303305304304303303302303303302302301301300301301301301301301303302302301300299300300299299299299299299299299300299300300300299299299299299298298298298298298299298298298299299299299298300300299300300299298298298298298298298297298297298298298298298298299299298299299299300302302303302301301302303302303302302302302302301301302301301301301302302301300301300301300300300299299298297298298298298298298298298298298299299298299299298297297297297297296296296296297297296296296295295297297295295296296296296297296298297297297297296296296296296296296296295295295295295294294295295294295295295296295296296296296296297296297296296295295294295294294294293292293292293293293293293293293293293293293292291292292291291291291290291291290290289290289289290289289289289289289290290291290290290290290291292292293293294294293293293293293293292292292292292292292293293292292292292291292291291291290290291291290290290291290291291291290290290291291291291290291291290291291291291290290290290290290290289288288288288288289288288288287286286286285284286286285285285286286287286286287286287286286287287287287287287287286286286286286286287287287287287287287287287287287287287288288288287287288288288288288288287288288287286286285285285284285285285285285285285285286286287287287286287287286286286286286286285286286286285286286286286286286286287 301301999296999999999999999999999999999999999999999999999999999999999999999999999999999999999297296296297296295297297297298298298297297296296297297297299299299299300299299299299299298298298299299298298299299300300300299300300299299299300300300300300301302301301302301302303303303301301301301300298297299300299298298297298298298300300300300300301301302301300300301301301301302302299299300302302303303303306307306307309309307307306305306306305305304306306305302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287292294294294293293293291293289286285283289293294295295295295295295295295295295296296297297297295296298298298297298299299299300299299300300301302302303302301301301301300300301300300299301302302302302302302302303303303303304304303303303303302302302302301300300300301300299299300300299300299298299299299301301301300301300302301302301301301302302302302301301300300301300300301301301302302302300302302303303303304305305305305305305305305306306306306306304304304303305305305305306305305305306305305304305304306304305305305305303303302302302301301301301301301301301301301302301301301301301301300300300300299299300300300299299299300300299299299299299299299298298298299298298298299299299298299298299299299299300299298298298298298298298298298297298298298298298298298299299299299300300300301300301302302302302303302302302302302302302301301301302301301302302301301301301301301300300299299298298298297297297298298298298298298298298298298298299298297298297297297296296296296296297296296296295296295297297297296296296296296297297297297297298297296295296295296295295295295295295295295294294295295295295296296295296296297297296296296296296297295295295294295295294293293293294294294294293293293293293293293293292292292292291291291291291291291291290290291290290290289289289289289290290290290291290290291291291291292292293293293292292294293293292293293292293292292292293292292292292292292291291291291290290291290290291290290291290291291292292291291292291291291292291291291291291291291291291290290290290289289289289289289289289288288288287287287286286285285286285286286286286286286286287287286286287287287287287287287287287287287287287287288288287288287287288288287288288287288287287287287288288288288288288288288287287287286286285285285284285286286286285286285286286287287287287288287286286286286286286285285286286285286286285286286286286286 301301303296999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297298295296297295295296298299296297296296296297298297299298299299299299298298299298298298298298297297298299299300300299299301300299299300301300300300301301301302303302303303303302301300300300299298298300301300300300300299299298300301301300300301301301302301300301301301302301301300300300301302304303304304308307307309309307306305305305304303303303304304303306302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287292294294293293292293290999291288287284287292294295295295294295295295296295295296295295297297296296297297297298298299299300301300300301301301302302303302302302301301301301302302302302303304303302303302302303304304304304304303303303303303302302302301301300301301300300298300300300300300299298300300301303302302302303302303303303303301303302302303302303302302301301301301301302302302302302302302301302303304304304305305305305305304306305305305305305304304304304305306305305305306306306305305305305305304305305304304303303303303302301302301301301300301300301301301301302302301301302301301300300300300300300300300300300299299299299299299299299299299299299299298299298298299299299299299299299298299299299299298299298299298298298299298298298298298298298299298299299299300300300300300300300302302302303303302302303303302303302302302302302302302302303302302302301301301301301299299299299298298298297297298298298298298298298298298298298298298298298297297297297297297297295296296296296296295297297296297296297297297297296297297298298298297297296296296296295295295295295295295295295295296295294296296296296296297297297297296296297297297296295295295295295294294294295294295294294293293293293293293293293293293292292292292292291291291292292291292291291291290290290289289290290290290290290290291291291292292292293294294293292292293293294293293292291292291292292292292292292291292291291291291291290291290290290291291290290290290292292292292292291291291291292291291291291291291291291291290290290289289289289289289289289288288288288287287287286286286286285285285285285285285286286286286286286287287287287287287288288287287287287287287287288287287287288288288288288288287288288288287288287287287287288287287287287286286286286286286286286285285285285285286286286286287287287287287288287287286286286286285286285286285285286286285285285286286 302301302297999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297296295294296295294296296298296296296296297297298298298298299298299298298298298298298298298298298297298299299299299300300300300299299301301301300299299300301300301302301301301301299300299299298298297301302301301300300299298298299299300299300300300300302301302303302303303304303298297299300302301302302302305306308308309308306304304304302301302302303303304302303303295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294293293292291289999296298294293293292294294295295295294294294294294294294295295295296296297296297298298298298299299299299300300301301302302302302302302302301302301301302303302302302304304303302302302302303303303303303304304303302302302302302301301300300300300300299299300300299300299299299300303303303302303303304304303304303302303303303302303302302300301302302301302301302301300302302302302302301302303304304304304305305304305305305305305304304304304304304305305305304305305304305304304304304304304303303303304302303303303302302302301301301301300300301300301301301301301302302301301301300300300300300300300299299299298299299298299299298298299299299299299298296298298299298298299299298299299299298298298299298298299298299298298298298298298298298298299298298299300300300300300300299300301301301302302302303303303303302302301302302302302302302302302302301301301301300300299299298298298298298298298299299298298298298298298298298298298298297297297296296297296297296295296296296296296297297297296297297296297296296297297297298298298296296296296296295295295295295295295295295295295295295294294295296295297297297297296297297297296296295295294294295295294295295295295294294294294293293293293293293293292292291291291291291291291292291292291291290290290290289289289290290289290290290291291291291292292292293293293293292293293293293293292292291291291291291292292292292291291291291291291291289290291290291291290290290290290291291292292292291291291291291291291291291291291291291290290290289289289289288289289289289288288287287287287287287287286286285285285285285285285286286286286286287287287287288287287287287288287287287287287287287287287287288288288288288288288287288287287287287286287287287287287287287287287287286286286286285285285285285285286286286286286287287287286287287287286286286286286286286286285286285285285285285285286 304304303292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296295295294294294295296296296296297296296297297298298298297298298297298298298297298297298298298298298298299298299299299300300300300300300300300299299300300299299301300301301300299300300299297298299298300300299297300298298298298299299300300300300301302302300301301302302300298297298300300301299299300301303305307308308307306304304303302302301301301301301304302305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293292290293291288290293295295293294294294294295295295295294294294294294295294295295295296297298298298298298299298299299299299301301301301301303303302302302302301301302303303303303303303303303302302302302303303303303303303303303303302302302302301300300299299300300299300299301301300299300300302301302303303302302303304303304304304304303303304303302302302301301302302302302301301301301301302300301302301301302303303303303304304304304304305305305305304304304305305303304304302303303302304303303303303303303303304303304304303303303302302303302302300300299300300301301301301301301301302302301301301300300300300300300300299300299299298299298298298298298298299299299298298298298298299299299298299299299299297298298299298298298298298298298297298298298298298298298298299299299299299299300300300300299300301301301301301301302301301301301301302302301302302302301303301301300300300300299300299298298298298299298298298298298298298298298298298298298297297297297297296296296297296296296296296296296296297298298297297297296296296296297298298298298297297297296296296296295295295295295295295295295295296295295296296296296297297297297297297297297296295295295295295295295295295296296296294294294293293293293293293293292292291292292291291291292292292292291291290290290290290290290289290290290290290290290291292291292292292292292292293292293293293292293292292291291291291291291292291291291291291291291291291291291292292292291291291290290290290291291290290291291291291291290291291291290290290290290290289289289288288288288288288288287288287287287287287286286286285285285285285285285285285285285285286287287287287287287287286287287287287287287287287287287287288288288288288287287287287286287287287287286286287287287287287286286287286286285285285285285284285285285285285286285285286286286286287286286285285286285285285285285285285285285285285285286 311311303300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298298298296294295295297297297296296296296296298298298299298299298298299298298297298298298298298299299299298299299300299301301301301300301301301300299300300300300301301299299299299299298298298298298298300297297298298300299298298298299300301301301301302303302302302304301301300300299299298298298299300301303305306308308307306304303303300300298999999301300300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296295999999289290291292293292291289291292287288291293293293294293293294294295294294294294294294295295295295295295296297297298298298298298298299299300300300300301301301301302301301302302301302303303303303304303304303303302302302302303303303302303303303303302301301302301300299299299300299299300299299300300300300300301302301302301303303302303302304303303304304303303303303303302303303301301301302301301300301301301300301301301301302302302302302302303303303303303303304304304304304304303303303303303304303303303303302303303302303303303303303303302302302302301302302300300300300300300299300301301301300301301301301301301300301301302301301301300299299298299299299298299298298298298298298298298298298298298298298298298299298298298298298298298298298298297297297297297298297297297298298297297298299299299299299299299299300299300301301300301300301301300301301301301301301301301301301301301301300300300299300300300299298298298298298299299299298298298298298298298298298296297297296296296296296296296296296296296296296297297296297297297298297297296296296297297297298298297297297296296295296294294294294295295295295295295295295295295295295297296296296296297297297296296296295295295295295295295295295295295295295294293292292293293292292291291292292292292291291291292292291291291290290290290290290290290290290290290290290290290291291291291291291292292292291291292291291292292291291291290291291291291290291291291291291291291291291292292291291291291289290289289290290290291290290290291290290290291291291291290290290290289289289288288288288289289289289288288288288287287287286286286285285285285285285285286286286286286286286287287287287287287287287287287287287287287287287288288288289289288288288287288287287288288288287287287287287287287287287287287286286286286285285285285286286286286286286286286286286286286286287286286286286286285286285286285285285285285285286286 306308310305304306999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298296296295295296297297298298297296296297298298299298298298299299297298297298298298299298299299300299299299298299299300301302301300301301301300300300300300301301301297299299299299299298299298297300301300298297298299300299298299300301301301301301302303303302303303302301300299299298299297299300301303304306306308311308306303302302301303999999999303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299297296294293291291291292292291294287291292289290292292294294293293294294294295295295295295295295296296297296296295295296297298298298298298299300300301300301302302302303302303303302302303303304303303303304304304304303303303302302303303303302303303303303302302302302301301300299299299299300299300299299300301300301301301302302303303303303303303302302302304304304303303303303303305304303302302301301301302301302302300301300300300301302301301302302302302303303304303304303303303303304304303304303303304304303303303302302303303302302301303302302302302302301301301301301300301300300301300300301302302302301301301301301301301301301300301301301301300298298299299299299299298299299298298297297298298298299299298299298298298299298298298298298297298298298298297297297297296298297297297298297297298298299299299299299300300300299299300300301300300300301301300301302301301301301301301300301301300300300300298300299300300299299298298298297298298298299298297298298298298298298298297297297296297297296296297297297296296297296297296298298298298298298297297296297296297298297298297298296297297296296295295295295295295295296296296296295295295296296297297297297297297297297297297296296296295295295295295296295296296296296295294293294293293293291292292293293292293292292292292292292291292291291291291291291291291291290290291291290290290290291291291292291291291291291290291291291291291291292291291291291291291292293292292292292292292291292292292291290290290289290290289290290290291290290291291291291291291291291291290290290290290289289289289288288289289289289288289288288287287287286286286286285285286286285285286286286286286286286287287287287287288287287287288288288288288288288288288288288288288288288288288287287288288288288287288288287287287287287287287286286286286286286286286286286286287287287287286287287287287287286286287287286286286286286286285285286285286286286286 307309309307307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297297296295295296296297297298296296295296296297297298298298298298297297297297298298298299299300300299299299300299300300301301300299298300301301301300300300300300300299299300300299299298296298299299300300299297300298298298297298299301300300301301302303304304304302302300299298298297296299299301301304304307308310311307305302302302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298294297295294291292292292291290294291290292291289292292292293293294294294294294294294295295296296296296297296296297296296297297298298298298299299300301301302302303302302302302303303304304304304304304304304304304303302303303303303303303302302303303303303302302301300299300299300299299299299298299299299299300301301302303303303303304304304303303302303303303304304303303302302303303302303302303303303302301300302301301302302301301302301302301302301302303303303303303304304304303303303303303303303303303304303303302302302302302302302302302302302302302302301301300300300301300301301301301301301302301302302302301302302302301302301300301299301301301300300300299299299299299299298299299299298298298298300300299299298299298298298298298297298297298298298297297298297297297297297298297297297298299299299299299299300300299300300301300301300301301301301301301301301301301301301301300300300300300299301300299300300300299300298298298298298299299298298299298298299298298298298298298298297297297297297297297297297297297297297297297297298299299298298297297297297297296297298298297297296297298296296296296296296295296296296297297296296296297296297297297297297297297297297296297297297296296296296296296296296296296296296295296295295294294293293292292293293293293293292293293293292292292292292291291291291291291291291291291291291290290290291291291291291290291291291291291291291291291291291291292292292292292292293293292292292292292292292292292291290291290290290290290290290291291291291290291291291291291292291291290291290290290289289288288288289289289289289289288288287286286286286286286286285285285285285285285286286286286286286286287287287287287288287287288288287288287288288288287288288288288288288288288288288288288288288288288288287287287287287287286286286286286286286286286286287286286287287286286287287287287286286286286287287286286286286286286285285285285285285286 306306306308311308999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298297296295295296296296297296296295296297297298298298297297297298298297297297298298299299300299299300299299299300300300300300301299300301301300302300302303300300301301302301300301299297298300300300300296297298300299298298298299299300300300301302303303303302303302300299298299299298297298300301301302304304307307308301304300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299294293292290291292292290289293291291291292292292293293293293293293294293294294295295296296296296297297296296297297296297298298298299299300300301302302302303302303303303303304303303304304303303304303303303302301301302302302302302302302303303302302302302302301300298299299299299299298299298299299299300300302302302303303302303304304303304304303303303303304303304303303302304303303303303303303303303302302302301302302302302302302301300300301302302302302303303302302303303302304303303303302303302303302302302301302301302303301301302301301301302302302302300301300300301301301301301300301301302302301302302302302301301301301301301301301301301301301301300299300299300300298298299299298299300299298300300299299298299299298298298297297298298298298297297297297298298298298298297297298298299298298299299300299300300301300302302302301301301301301301301301301301301301302301301301300300302301300300300300299299300300299299298298298298299299298297298298298298298298299299299298298298298298298297297296296297297297298298297297297298299298298297296296296296296297297297298297297296297298296296296296295296295296296296297296296296296297296296297297297297297297297297297296296296296296296296296296296296296296296295295295296294293293293292292293293294294293293292292292292292292292292292292292291291291291291291291291291290290290290291290290290290290290291291291291291291291291291291292291292292293293293293293293292292291291291291292292292291290290290290290290289290290291291291291291291291291291291291291291291290290290290288287288288289289289288289289288287286286286286285285285285285285285285285285285285285285285285285286286286287287287287287287287287287287287287287287287287288287287287287288288288288289288287288287287287287287287287287286286286286285285286286286286286287286286287287287286286286286287287286286286286286286286286286286286286285285285285285285 303301306306310306999999999999999999999999999999999999999999999999999999999999999999999999999999999999292298298297295295295296297297295296296296297296298298299298297297298297298298297300298299298300299301300300300300299300300300300300301301301301301304303303302301301301304303300300300300299301301300300300298299300300299301303302300301300300301301303303303304303303303302300298298298297298299300301301302304306306307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289290290291292290290292293292292293293293293294294294294294294293294294295295296296296296296296297297296297296297298298298299299299301301301302302303303303303303303304304303303303303303303302302302302302302302301301302301302302301301301301301300300300299299299299299299298298298299298299299299300302302303302301302302303303303304304303303303303304303303303303304303303304303303304303303302303302301302301301300301302301299300301302301302301302302302302302302301301302302302302302302302302302301301300300301300300301301300301301301302302301301301300300300300301301300301301301301301302301302302301301301301301301301300300300300301301301301299299299298299298298299299299299300299300299300299298298298298298298298297297298298298298298297297297297296297298298297298298298299299299298299300300300300301300302301303303302301301302301300301300301301301301302302301300300300300301300300300300300300300300299299299299298299299299298299299299298299299299299299299298299298298298298297297296296297297297297298298297298299298297297297296296296296296297297297297297297296297298297297297296296296296296296296296296296296296297297296296297297297297297297297296297297296296296295296296295296296297296296296296296295294294293293293293293293294294293293292292292292292291292292293292291291291291291291291291291290290290290290290290290290290290291291291291291291291291291291291292291292292293292292293293293293293291291291291291292292291291290290290290290290290290290291291291291291291291292292291291291290290290290290289288289289289289289289289288288287286285285285285284285285285285285285285285285284284284284284285285285286287287287287287287287287287287287288287287287286287287287286287287288287288288288288288288288288287287287287287286286286286286286286286286286287287286287287286287287287286287287287287287287286286287286286286286286285285285285285285285 306301307307308303999999999999999999999999999999999999999999999999999999999999999999999999999999999999292297297296295292295296297296296296296297298297298298299298298297299299298298298298298298298299300300299299300300299299300301300301300300299300301302304302302301302302303302301301301301300300298298298298299300299300301305304303305305302301300302302302303303303304303303300298298297297298298298299300301302303302302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294291291291292291291291292292292294293293294294294294294294294294295295295296296296296296296297297297297296296297298298299300300300300301302303303303304304303302302303303303303303303303303302302302302302302302302301302302302302301301301301299999299299299299298299298297297297298298298298298299300301301303302303303302303302304305305304304304304304304303303303304305304304303304304305304303303302301302302301301301301300301301303302300300300301301301301301301301301301302302302302302301301301301300300300300300299299301300300300300301302301300301301300301301300300300300300302303302302302301301303303301300302301300300299300301300301301302302300299299299300301300300300300300300299299298299299299298298298298298298298298298298299298297297298298297297298298298298299300300299299298301299300300301300301301302301303303301302302301301301301301301302302301301301301301301301301300300300300300300300300300299299299299299299299299299299299299300299299299299299299298298299299298298297297297297297297298298298298299299299298297297296296296296296297297297297297296297297298297297297296297296296296296297296296296296296297297297296296297297297297297297297296296296296296296296297296297297297297297297297297296295295295294295294294294294294294294293293293292292292292292292292292291291291291291291291291290290290289289289290290290290290291291291291291290291291291292292292292292292292292292292292293292291291291291291291292291291291290290290290290291291291291291291291291291291291291292291291291290290290290290289289289289289289289288288288287286285285285285284284284284284284284284284284284284284284284284284284285285286286286286287287287287287287287287287286286286286286286286285286286287287287287287287287287287287287286286286286286286285286286286286286286286287287287287287287286286286287287287287287287287287287287286286286285285285285285285285285 305303304303306303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296296295293295296296295296296297297298298298298298298299299299298298298298299298299299300300300299299300300299300300302301301300299299300303303305302302302302301302300300300300299300298297298299299299299299302300304304302301304302300300301302303302303302302302302301300298298298297298299299300300300302302303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999999999999999999999999294294292291292292291292293293293293293293293294294295294294295295295295295295296296296296297297297296297297297297298298298299300300301301302302302303303304304303302302302303303303303302302302302303302302302301302302302302301301301300301301300299999299299299299298298297297297296297298299299299299300301302303303302303303303304303304303305304304304304303303304304304304304305303305304303303302302302302302302303303301302303303302302301300300300300301300300301300300301301301301301300300300300300300299299299299299299299299299299299299299300299300300300300300301300300300300301302302302302302301303301302302302301301301302301301301300301301301300299299299300300299299299300300300300298299299299299299298298297298298297298298298298298297298297298298298298298299299299299301300300300300299300299300300300301301301300303303302302302301301301301301301301301301301301302301300300300301300300300300300300300299299299299299299298299299299299299299299299299299299299299298299298299298298297297297297296297298298297298298298298298298296296295295296296296297297296297296298297297296297297297296296295296296296297296296295295296296296296296296296297296296296296296296297297297296296297297297297297297297296296296296296295295295295295294294294294294294294293293292292292292292292292292291291291291292291291291290290289289289289290290290290290290291291291291290291291291292292291291291291292292292291292292292292292292291292292292291292291291291291291291291291291291291291291291290291291291291291291291290290290290290289289289289289289289288288287286285285285285284284284284284284284284284284284284284284284284284284284284284285285286286286286287287286286286286286286286286285285285285285285286287287287287286286286286287286286286287286286286286286286286286286286286287287287287286287287287287286287287287287287287287287287286286286286285285285285285284284284 304304306305304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296295294294295295296297296297297297297296298298299299299300300300299297299300300299300300300300301300300300300301300301301302300300301300302305305304304302301301302301302301299299298298297298298299299299299299301303306305303300301301300301302303303303302301300300302299299298298298298298299299300300301301297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296999999297297297296294294293293292292292292293294294293294293294294294294294295295295295295296296296296297297297298298298297297297297299298299298299300302302302302303304303304303303302302302303303303303302302302302303302302302301302302301301300300300300300300300298295999298298298297297297296297296298298299299299299300302302302302302302303303303304304304304304304304304304304304304303304304304304304304303302301302302302302302302302302302303302302302302301301300301300300300300300300300300300300300300299299299299299299298299299298298298298299298298298299299299300300300300300301300302302301301301302301301302303303303302302303303302301301301302301300301301301301299300300301301300299299299299299299299299299299299299298298297298298298298297298298298298298298297298298298298299299299299300300299300300300298299300299299299300300301303303303301302302301301301302301302301302302302301301301301301301300300299300300300300299300299299299299299299299299299299298298299299300300299299299299299298298298297297298298298298298298298298298299297297297296296295295296295296297297297297297297296297296296297297296296295296296296297297295295295295296296296296296296296297296296296296296297297297297296297297297297297297296296297296296296296295295295295294294294294294294294294293293293292293293293292292292291291291291291291290290290289288289289289289289289290290291291291291291291291291291291292291291291291291291291292292292292292292292292292292292291291291291291291291291291291290290291291291290291291291291291291290290290290290290289289290289289289289288287286286285285285284284284284284284284284284284284284283283283283283283283284284284284284285285286286286286286286286286286286286286286285285285285285285286286286286286286286286286286286286287286286286286286286286287286287287287287287287287287287287286286287287287287287287287287287287287287286286286285285285285285285 307306306305308304306999999999999999999999999999999999999999999999999999999999999999999999999999999999296297296294293294295295295297297297296296296296298299298299299299299300298297299300299300300301300300300300300299300301301300301301299300299299300300302300302303301300301301302302300297296296297297296297297298298300299300304300301299300301300301301302303302301300300299299299298297298298299297298300300301301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999297297296297297297295295295293293294293293293293294294294293294294294295294295295295295295296296294296296296297297298298297297297297298299299298299300301302302301302303304303303303303302303303303302302301301301302302302302302302301301300299299299298299298298298297295297299298298297297297296296296296297298298299299301302302303303302303303303303303303304304304304303304303303304304304304303303302302302303302302302302302302301301303303301301302303303303301302301301301301301300299299301300299299298298299298298298299298299298298298298298297298297299298299299299299300300300300301301302302301301301301301301302302303303302302303302302302302301302302301301300300301301301301302300300299300300300299300299299299299299299299299299298298298298298298298298298298298297297299299299299299299300300300300300300299300300300300300300300299303302301303302301302302301301302302302302302302302302302302302302302301301300300300300299299299299299299299299300299299299299300299300300301300300299300300300299298298298298298297298299297298298298298298298297296296296296294297297296297296297297297297297296297297297296296295296296296297297297295295295295295295295295296296296296296296296296297297297297297297297297297297297297297298297296296296296296295295294294294294294294294293293293293293293293293293292292292292291292292291291290290290289289289289290290289289290290290291291291291291291291292292291291291291291291291291291292292291291292292291291291291291291291290291291291291291291290290291291290290291291291291291291291290290290290290289290290289289289288287286286286285285284284284284284284283284284284284284283283283283283283283283284284284284284284285285286286286286285286286286285285286285285285285285285285285286286285286285286285285286286286286286286286286286286286286286287286286286286286287286286286286286286287287287287287287287287287286286286286285285285285284284284 307306308308306304304303999999999999999999999999999999999999999999999999999999999999999999999999999999295298296295293294295296295295296297298296295296298298299297297298298300300301298299301301301300299300300300300300299300300300300300298298299999999297299299301301300300300300301301300298297298297297297297297297298298301295301299300301301301300300301302302302300299299297297296296297298298298298296297301300302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999297297295295295296297296296295295294294294293294294294295294293294294294295295295295295295295295295295295295295296295296296297297297297297298298299299299299301301301301302302302303303302302301301302301301300300300300301301301301301301300300300299298297297297298298296294999298298297298298298298296297296296297298298299299301302301303303302302303303303302303303303303303303302304303303303303304302302301302302302301301301300302302302301302301301301302303303302302302301301300300301300299299299298299298298297298297297297297297298297297298298298298298298299299298299299299300300299300301300301302301301302300300301302302301302303303303303302302301301301301301301301303301301301301301301301300300300300301300299299300300299299299298298298298298298298298298298298298298298298299299299300299299300300300300300301300300300300300300300300300302303303303302301301302302302302302302301302302303302303303302302302302301299300300299299300299298299299298299300299299299299300299300300301301300300300300300299299298299298299298298298298298297298298297297297296295296296295297297297296297297296297297297298297298297297297295295296296297297296296295295295295295296295295295296296296296297296297297297297297297297297297297297297297297297296296296295295295295295294294293293293294293293293293293293292293292292292292292292291291291291290290289289289289289290290290290290290290291291291291290291291291291291291291291291291291291291291291291291291291291291291291290290291290290291291290290290290290290290290290290290290291290290290290290290290290289289289289289288287286286285285284284284284283283283283283283283283283283283283283283283283283283283284284284284284285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286286286286286286286286286287287287287287287287287286286286285285285285284284284284 307310309308308304305999999999999999999999999999999999999999999999999999999999999999999999999999999999299297296294294294295295295295296297297296298295297297298297298298298298298300300298300298300300300300299300300300300300300300300299298297999999999999297300300302300301301300300300300298297297297297297296297297297301302296299299299300301299301301300300301300300298298297297296297298297299297299300301301297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299296297295296295295295296295295294294294294294295295295294294294294295295295295295295295295295295294295294294295295296296296297297297298298300299299300300299300300301300301301302302301301301301301301300299299299299299300300301300300299299298298297297297297297297297295296298298297297297297297297297296297296297298299299300301301303302302302303303303303302302302303303303303303303303303303303303302301301302302302303302302302302302302301301301301301302302302302302301301300300300300299299299297297297297297297297296296297297297297297297298298298298299298298298298299299299299300300299299301301302301301300300302302302302302302302302303302302302301301301300302301300299301301301301301301300300300301301300299299299300300299298298298298297298298298298298298298298298299299300300300300300300300300300300300301300300301301301301301301301302301303301301302302302301302301301301302302302303303302302302301302301301300299298300299299298297298298298298298298298299298299299300300300300300300300300300299299298299299299298297298298298297298297296297296297297296296296296296296297297297297298297297297298298298297296296296296296297297296295295295295295294295295295295296296296296296296297297297297297297297297297297296297297297297296296296296295295295295295294294293293293293293293293292293293293293292293292292292291291291290290290290289289289290290290290290290290290291291291291291290290291291291291291291291291291291290291291291292291291291291291291291291291290290290290290290290290290290290290290290290291290290290290290290290290289289289289288287287286286285285284284283283283283283283283283283283283283283283283283283283283283283284284284284284284285285285284285285285285285285285285285285285285284284284285284284284284285285284284284285285285285285286286285286285285286286286286286286286286286286286286286286286286286286286287287286286286286286286286285285284284284284284 308306307308309309306306999999999999999999999999999999999999999999999999999999999999999999999999999999299298295294294295295295296296296297297297296296299297297297297298299298299299302303302300302301300299298299299299299300299300300298297297301999999999297299300301300300301300300299300300300297299298297297298297301300299299298299296299300299300301298299299299298298298299297298298298299299301300301302302298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296296294295296296295295294294295294294294295295294294294294295295296295296295295295295295295294294294295295294295295296295296296296297299298299299300299299300300300300299300301300300300300300300299299298299298298298298298299299299297296296296296297297297297297297295295297297297296296296297297297297297297297298300301301301301301302302302302303302302301301302303303303303303303303303303302302302302302302302302302301301301302302301301302303301302302302302302301301301300300300299299299298298298297297297297296296297297296296297297298298297298298297298298298298298299299299298300299300300301302301302302301301302303302301302303303302302302302302301301301301301301300301301301301301301300301300300300300300300300299299299299299299298297298297298299298298298297298298298299300300300300300300300300300300300300301301301300300301302302302302302302301302302301301301302302302302302302302302302303303302301300300300299299300299299297298298298297298298298298298299299299300300300300301301301300300300299298299298298297297297297297297297297297297297297297296297296296296297297297297297297297297297297297297297297296296296296296297296295296295295295295295295295296296296295296296297297297297297297297297297297297297297297296297297296296296296296295295295294294293293293293294293293293293293293293293293292292292292291291291290290290290289289290290290290290290290290291291291290290291290291291291291291291291291291291291290290291291291290291291290290290290291290290290290290290290290290290289290290290290290290290290290290290290290289289289289288287286286285285284284283283283283283283283283283283283283283283282283283283283283283284284284284284284284284285284284284285285285285285284284284284284284284284284284284284284284284284284284284284284284285285285285285285285285286286286286286286286286286286286286286286286286286286287287286286286287286286286286285285285284284284284 307306306306306307306308306999999999999999999999999999999999999999999999999999999999999999999999999298298298296295295294295295294295295296297297297297298298298298297298298298299299299300298300301302301302301300300300301299299300301300299300301300999297298299301302301300300300300300300298300298298299297297297297297300299299299300297296299300300300299298298299299299298298296297299300299299300301301301303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295294294295296295294294295295295295294294294295294294295295296296295296296295295295295295294294295295295295294295295295295295296298297297298298299298298299300300299300300300300300299299300299299299298299298298297297297297297296294296295296296297297296297297296295295296296296295295295296297297297297297298299300300301301301302302302302303303301302301300302302302303303303302302302302302302302302302302303302301301301301301301300301301300302301302302302302301301300300300300299299299298298297297296296296297297297297297296296295297296297298298296297298298298298298299299299299299300300302302302302303302302303302302302302302302302301301302301301301301302301301301302301301301301302301300300300300300300299300299299299298298298298298298298297298298298298298298298299299300300300300300301301301301300301300301301301300301301301301302302303302301303302302302302303302302302302302302303303304302302302301301300300299299299298298298299298298298298298299298299298299299300300301301301300300300300300298298298298297296297297296297297296297296296297297296297297297297297297297297297297297297297298297297297297296296297297297296297296295295295296296296296296296296296297296296296296296297297297298297297297297297297297297297296296296296295295295295294294294294294293293294294293293294293294293293293293293292292292291291290290290290289289290289290289289290290290290291290290291291291291291291291291291291291291291290290290290291290290290290290290290290290290290290290290290290290290290290290290290290291291290290290290290289289289289288288287287286286285284284283283283283283283282283282282282283283283282282282283283283283283284284284284284284284284284284284284284284284284284284284284284284283284284284284284284284284284283283283283284284284284284285285285285285285286286286286285285286286286286286286286286286286287287287287287287287287286286286286285285284284284284283 306306305305306308306307307306999999999999999999999999999999999999999999999999999999999999999999999999297298298295295293295294295294295295296296297297298299298298298299299299299300301301300301300303302302302301300300300301299300300300301302300298298300300300301302301301299299299299299299299297298299298296298296300297298296297298300302300296299301299299299300300298297298299298297298299299302301301298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295294294295295295295296294294295295295294294294295295295295295296296295296295295295294294294294295296295295294295295295294294295297297297297299299298298298298298299299299299300299299299299299299299299298299298298297297296296296999294295295296296296296296296296296296296295295295295295295296297297297296297298299299300300301301301302302302302302302301301301301302303303303302302302301302301302302302302302302301301301300301301301301301300301301301302301301301301301301301300300299300299299296296296297296297297296296296296296295297297296298298299299299298298298298299298299299299299300300301301301302302302302302301302301301301301302301301301301301301301301301301302302301302300300301301301300301300299300299300299299299298298298297298297298297298298298298298297298298299300300300300300301301301300301301301301300300300300301301302302302301302302302302302302301302302302302302302302302303302302302302301301300300299299299298298299298299299299299299299298298298299299300300300300300300300300300298298298298297297297297297297297297297296295296296296296297296297296297297297296297297296296296297297297297296296296297297296297297296296296295296296296296296296297296296296296296297297297297297298297297297297297297297296297297296296296295295295295295294294293293294294294294294293294294294293293293293293293292292291291291290290289289289289289289289289289290290290290290290290291291291291291290291291291291291290290290290290290290289290289289290290290289289289290290289289289289290290290290290290290290291290290290290289289289289288288287287286286285285284284283283283283283283283283283282282283282282282283283282283283283283284284284284284284284284284284284284284284284284284284284284284283283283283283284284284284283283283283283283283284284284284285285285285285285285286286285285285285285285285286286286286286286287287287287287287287287286286286286285285284284283283283 306307307307307308309309309311301999999999999999999999999999999999999999999999999999999999999999999999299300297296295295293295295294295295296296294293297298298298298296297300299300301302303301300300302301301302302299300299298299300300300301299298299300301300301301301300299299299299299298299299298297297296295299297297298297297299297301300298296298297298299299300298299298298296297298300301300301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294293293293294294294295295295296295296293295295294293293295295295295296297296296296295295295294294295295295295295295296295295295295296297298298298298298298298298298298299299299300299299299299298299298298298298298299298298298297296297296294999293294295295295295295295295294294294294294295295295295296296296297297296297297299299301301301301301301301301301302301301300302301302301302302302302302302301301301301302302302302302301301301302301302301301301301301301301301301300301301302301301299299299298297297297297297297297296296296296297296297297297298299299299298297298297299298298299299299299300299300300300300300301301301302300301301301301301301300300301300300301301300301301302301300300300300301301301301300300300300299299300299299298297298297298298297298298297297298298298299299299299300300301301300300301300301301300300299299300300301301302302302302301302302301302301301302302302302302302302302302302302303302301300300299299299299299298298298299299299298298298298298298298299299300300299300300300300298297297297297297296297296297297297296296296296296297297297296296296297297297296297296297296297297297297297296296297297297297297297296296295296297297295296296296296296296296296297297297297297297297297297297297296296297296296296296295296296295295295295294294294294294294294294294294294294294294294294293293293292292291291291290290289289289289289289290289289290290289290290290290290291291291291291291291291291290290290290290290290290289289289289289289289289289289289289289289289289289289289290290290290290290290289289289289289288288288287286286286285285284284284283283283283283283283283283282282282282282282283283283283283283283283284284284284284284284284284284284284284284284284284284284284283283283283283283284284283283283283283283283283283284284284284284284284285285285285285285285285285285285285285286286286286286287287287287287287286286286286286285285284284284283283283 306307306306306307307308308309302999999999999999999999999999999999999999999999999999999999999999999999295299297296294292295294294294296297297297294295297297297297297298298299300300298300302300300300302301301302301300300299298298299299299300300300299301302301302301301300300299298298299298298298299297296297297297298300298297296300298298297299296296297298299299299299299297295296297300299300292294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295294293291292294295296296296296297296296295294295294295295295295295296296296296295295295295294294295295295295295296296295294295296296297297298298299298298298298298298299299299299299298298298298298298299298298297297298298299298297296295294999291293293293293293293293293293293293294294294295295296296296296297297296297297298299300301301301301300301301301302301300301302302302302303302302302301301301301301301302302302302301301302301302300300301301301302301301301301302301301302301301300299299299299299298297297296297297296297297297297296297297298298299299299297297297298298298299298300300299300300300300299300300300300300302301301300301301301300300301300300301300301301302302301301301300300301301301301301300300299300299299299298299298298298298298298298298298298297298298298298298298299299300300299300301301301300300299299299299300301300301301301301301301301302301301302302302302302302302302302302302302302302302301300300300300299299298298298299299299299298299298298299299298298298298299300299299298298298298297297297297296297297296296296296296296296296297297296297296297297297296297296296296296297297297297296296297297297297297297297296296296297297297296296296296296296296296296296297297297297297297297297297297296296296296295295296296296296296295296295295294294294294294294294294294294294294294294293293293293292292292291291290290290290290290290290290290289289289289289290290290290290291291291290291291291291291290290290290290290290289289289289289289289288288289289289289289289289289289289290289289290290289289289289289289288288288287287286286286285285284284283283283282282283283283283283283282282282282282283283283283283283283284284284284284284284284284284284283284284284284284284284284284283283283283283283283283283283283283283283283283283283283283283284284284284284284285285285285285285285285285285285286286286286286287287287286286286286286286286285285284284284283283282 306307306304303303303309308307301302999999999999999999999999999999999999999999999999999999999999999999296296298296296294293296296296296297297294294296295295296297297298299300300299298298300298298300300301301301302301301298298298298297298300300300299300301301301300300299299299298298298299299299299299297297298298299299298296296295297297297299296295296297297296298297298295295297299299297298293298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294293293293294295295297295295295296296295296295295296295295295296296296295295295295295294294294295295295295295295294296296296297297297298298298297299298298298298299298298298297298298298298298298298297297297297296297298299297296295294292292292292292292292293292292292293293293293294294295295296296297297297297297297298298299300301301300300300301301301301301301301302302301302302303302301300301301301302302302302301301301302302301301301301300301300300300301301301301302303303302300299299300301299299297298296296297296297297298298298298296298298298298298297298298298298298298298300300300300300300299300301300301300300301300300300300300301300300301301300300300300301302301301301302301300299301301300300300300299299299299299300298298299298298298299298298298298298298298298298298298299299299300300300300301301301300300299299300300301301301301301301301301300301301301302301302302302303302302302302302302302302301301301300300299300300299299299299299299299299299299299298298299298299299299299300299298298299298297297297296296297296296296296296295296296296297297296296297296296296296296296296296296296296296296296296296296297297297297297296296296297297297297295296296296296296296296296297297297297297297297297297296296296295295295295295296295296296295295296295295294294294295295294294294294294294294294294293293293292292292291290290290290290290290290290290290290290289289289290290290290290290291291291290291291290290290290290290290290290289289289289289289289288288289289289289289289289289289289289290290290290289289289288288288288288287287286286286285285285284284283283283283283283283283282283283282282283283283283283283283283283284284284284284284284284284284284284283284284284284284284283283283284284283283283283283283283283284284284284283283283283283283283283283284284284284284285285285285285285285285285285286286286286286287287286286286286286286286285285285284284283283283282 304308306305303303307309306304304304304999999999999999999999999999999999999999999999999999999999999999295297297295293294295296296296296296297294293294294295296296297298299299300299299299299298298298299299301301301301298297297297298298298299299300299299300300299298299299299299298299299299299299300299299297298298297299298297297297297297298298296296297296296295294294294296296299300301299298287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292294294294293294296298295297296296295295295295296296295296295295295296295295295295295295295295295295295295295294295295296297297296297297298298299299298298299300299300300299299298297297297297297297298298297297297297297297297298297296295292293292292292291292292292292292292292292292293294295295295296297297298298297297297298298299300302301300300300300300300301300300301302301301301302301302301300301301302302302302301302301301302302301302302300301300301300300301301302302302303302302300300300301300299299299298297296297296298297297298298298299298299298298298297298298298298298298298299300301300301300300300300300301301300300300300300300300301300300301300300300300300301301300300301300301301301301300300300300300300299299299299300299299298299299299299299299298298298298299298298298299298300299300300300300300300300299300300300300300300301301300300301301301301301301302302302303302303302302302302302301302302301301301301300299300300299299299299299300299299299299299299298299298299298298299299300299299298298297298297297298297297297296296296296297296297296297296297296296297296296296296296296296296296297297296296296296297297297297297296297297297297297297297296296296296296296296297297297297298297297297297296296296296296296295295295296296296296296296296296296295295295295295295295295295295295295294294293294293293292292292291291290290290290290290290290290290290290290290290290290290290290290290290290290291290290290290290290290290290290290289289289289289289289289289289289289289289289289289289290290290290289289289289288288288288287287287286286285285285284284284283283283283283283283283282282282282283283283283283283283283283283284284284284284284284284284283284285283284284284284284283283283284283284283283283283283284283284284284284283283283283283284284283283283283283284284284284284284285285285285285285285285286286286286286286286286286286285285285285285284284283283283282282 303303304304304304306308305305302303301999999999999999999999999999999999999999999999999999999999999999294297295296294294295296296295294296294293293294294295295294295296298298299299298298999297297298298300300300300300298298296297298296298297298298298299299298297297295297296297297297298299300299300299300297298298299298296297297297296295295295295295295295293292292292292293293296299303296289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295294294294294296296297296297297296295295294295296295295296296296295295296296296296295295295295295296295295296295296296296297296297297298298298299298298299299299299299299299298297297298297297296296297297296297297297297297297296296296294292292292291291291291291292291291292291292292293293294295295296297297297297298297298298298299300301301301301300300301300300301301301301301301301302302302301301301301302301301301302301302301302301301301302300300300300300301301301302302301301301301301301300300299299298299298297296297297297298298298298298298298299298298298298298298298298297297298299299299299300299300300300300300300300299300300300300301301301301300300300300300300300300301301300299301300301300300301300300300300299299299300299298298297298299299299298299298298299298298298299298299299299299299300300299300299299299300299300300300300300301301301301301302302302301302302302302303304303302302302301301302302301301301300300300300299300300299299299300299299299298299298298299299298299300300300299298298299298297297298297297297296296296296296296296297297296297297296296296296296296296296296296296296296296296296296297296297296296297297297297297297297297296296296296296296296296296296297297297297297297297296296296296296295295295295295296296296296296296296296295295295294295295295295295294294294294294294294294293293292292292291291291290290290290290290290290290290290290290289289289289289289290290290290290290290290290290290289290289289289289289288288288289289289289289289289289289289289289289289289289289289289289289289288288288287287286286286285285285284284284283283283282283283283282282282282282282282282283283283283283283283283283284284284284284284284284284285286284284283283284284283283283283283283283283283283283283284283283284283283283283283283283283283283283283283283283284284284284284284284285284285285285285285286286286286286286286285285285285284284284284283283282282282 305304303304304305304306306306301302300999999999999999999999999999999999999999999999999999999999999999294296295295293295293295297296295297294294294294296295295295295295295296298297297297295295298299299299299300298300298298297298298295297297297298299298298298297295294292295296298297298299299299303303302299299297298299298296296297298296296294296295294295294294292293292293293294296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294294295296295297296296297295295295295296296296295296296296296296296296296296296295295295295296296295295296296296297297297298298298299299299299298298299299298298298298298298298297297297297297297297296296296297296296296296296295295293292291291291291291291291291291292291292292292294294294295296297297297297298298298298298299299301301301300300300300301301301301301302301302301301302302301301301302301301299301301300301301301301301302301300299300300299301301301301302302302301301301301300300300299298298298298298298297298297298298298298298298297297297297298298298297298298298298299297300299299299299300300299299299299300300300299299300300300300300299299300299300300300299300299300300300300300300300300300300299299300299298298298299299299299299299298298298298298298298299300299299299299300300300299299298298299299299299299300300300300300301301301301301301301301301301302302303303302302301301301301301301301301300300300300300300299300299299299299300299300299299298297299299299300300299299298298298298298297297297297297297296296296296296296296296296296296296296296296296296296296296295296296296295296296296296297296296296296296297296297297297297297296296296296296296296296295296296297297297296296296296296295295295295295295295295295295295295295295295296295295295295295295295295295295294294294294294294293293292292292292291291291290290290290290290290290290290290290290290289289289289289289290289290290290289290289289289289289289289289289288288288288288289288289289289289289289289289289289289289289289289289289289289288288287287287286286285285285285284284284283283283282282282282282282282282282282282282283283283283283283283283283284284284284284284284284284284284283284283283284284283283283283283284284283283283283283283283283284284283283283283283283283283283283283283283283284284284284284284284284285285285285285285285286286286286286285285285285284284284284283283282282282282 302306305303304304305308306311306303314999999999999999999999999999999999999999999999999999999999999999294296294295293293292294294296296296294293293294294295296296296296295999296297297295296297297300296298298298299299300298301298297295297298298300298298298298298294294294295294294296297298298298300300300300299299299298298298299299298298299299296291290293293291290286285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294295295295295296296297295295295295296296296295295296296296296297297297297296296296296296296296296295296296296298298298298299298299299299299298298298298298298297298298298297297297297296296297296296296296296296295295296296295294293292291291291291291291292291291291291291292293294294295295296297297297298298298298299298298298301300300300300301301301301300301301302302302301302303302302301300301301301300301301301301301300300300300300300299300300301302301301302302303302300300301300299299300298297299298297298298298298298298297299299299299297297297298297298298298298297298298298298299298299299299300299299299299300300299299300300300299300300299300300300299299299299299299299299300300300299300300300300300299300299300299299299300300299299299299298299299298299298299299299299299299299299299299299298298298298299299299300301302301301301301301300301301301301301301301301301302302302301301302301300301301301300300299298300300299299299299298299298299300300299300298299299299299299298299298297297297298297298297297297297296296296296296296296296296296296296296296296296296296296295295295296296296296296296296296296296296295295295296296296296296296296296296296296296296296296296296296297296296296296296296295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294293293292292292292292291291291290290290290290290290289289289289289289289289289289289289289289289290290290289289289289289288288288288288288288288288288288288288289289289289289289289289289289289289288289289289289289288288287287287286286286285285285284284283283283283283282282282282282282282282282282282282282283283283283283283283283284284284284284284284284284284284284284284284284284283283283283283284284284283283283283283283283283284283283283283283283283283284283283283283284284284284284284284284284284284285285285285285285285286285285285285285284284284284283283282282282282282 305307305303304303304309310310309309304999999999999999999999999999999999999999999999999999999999999999294297295295294293293291291296296296294294294294295295296297298297296295296297296296297297297301301300299298299300300301300296297296298298299301299299299299297294293295299292298294301301297297300300300300300299299298299298298298297298298298293296296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296294295295294296297296295295295295295295296296296296297296297297297297297298297297297297296297296296296297297299299298298299299299299299298297298298298297297297297297297297298297296295296297297296297296295295295295295295294293292292291291291290290291291291292291291291292293293294295295296296296297298298298299298298298297300300300300300301301301301301301301301301302301302302302302301302301302302301301302302301301301300300300300300300301300300301301301302302302301300301301301301300300300301298299297297297297299297298298299299299298298298298297298298298298298298298298297298298299300299299299299299300300299299299299299299300300300300299299299299299299300300300299299299300300300300300300300301300300300300300300300299300300299299297298299298299299299299299299299299299298298298298298299299298298298300299300299300302300300301300300300301301301301300301301301301301301301301301301301301301300300300300300300300300299299299299298300300299300299299298297298299299300299298297298297297297297298298298297297296296296296296296296296296295296296296296296296296296296296295295295295296296295295296295296296296295295295295296295296296296296296296296296296295296295295296296296296296296296295295295295294294294294294294294294294295295295294295295295294294294295295295295294294294294294294293293293293292292292292292291291291291290290290290290289289289289289289289289289289289289289289289289289290290289289289288288288288288287287287287287288288288288288288288288289289289289288288289288288288288289289288288288288287287287286286285285285284284284283283282282282282282282282282282282283283283282282283283283282283283283283283283284284284284284284284284284284284284284284284284284284284283284284284284284283283283283283283284284283283283283283284284284284284284284284284284284284284284285284284285285285285285285285285285286286285285285285285284284284283283282282282281281 307308306304309310311311308312308308306303999999999999999999999999999999999999999999999999999999999999999297296295294294294999291297297294293294294294294295296297296298296298299300297296295299300300300299297298299299298299300294298298297298299301300299299297297295293293298294298297299300298299300300300299299299299299298298297297297297295295291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295295295296295295295294295296296296296295296296296297296297297297298298298298298297297297297297297297297297297299297298298298299299298299299299298298298297297297297297297298298297296296297297298297297295296295295295295293293292290291291291290291291291291291291291291291292293293294295296297297297297298297297298298298298297299301300301300300300300301301301302302302302303303303302303302303302302302302302302302302302301301300300300300301302300300301301302302303301301302302302301301301301301302299298298297298298299298298298299299299299298298297297298299299299298298298298298299298299299299299299299299299298298299299299299300300300300300300299299299299300299299299299299299300300300300300300300300301301300300299300300301301300301300298299300299299299298299299299299299298298298298298299299299299299299299299299300301302301301301301301300301301301301302301300301300301300301301301301301301301301300299300300300300300300300300299300299298300299297299299299297299299300300299299298298297296296297297297297296296296296296296296296296296296296296296296296296296296296296296296295295296296296296296296296296296296296295296296295296296296296296296296296296296296296296296296296296296295295295295295294294294294293293294294294295295295295294294295295295294295294295295294294294294294294294294293293292292292292292292291291291291290290290290290289289289289289289289289289289289289289289289289289289289289289289288288287287287287287287287287287287287287288288288288288288288288288288288288288288288288288288288288287287286286286286285285284284283283283283282282282282282282282282282282282282282283283282283283283283283283283283283283284284284284284284284284284284284284284284284283283283283284284284284283283284283283283284284284284284284284283284284284284284284284284284284284284284284284285284285284285285285285285285285285285285285285284284284284283283282282282281281281 999999309304305304302306308307305306309308308305999999999999999999999999999999999999999999999999999999999999999294294294294294292296296295294294295295295295297296299299299299301302302300299300301300300299299298298298299298300298298303303304302302304304304299297295295292293299299300299299298299300300299302301301301300299299298297298297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295296295295294294294296296296296296295297296296297297298298299298298299299298298297297297298298299298298298299299298299299299298299298299299299299298298298298298297299298298298298296297298298298297296296297295294294294293291290290290290291291291291291291291291291291292292292294294295296297297298297297296296296296296296299301302301300300301301302302302302302302302302303304302303303303303303303302302303302302302302300300300300300300302301300303302301303302302302302301301301301301301301300301298298298298299299299298298298298298298298298297298299299299299298299299298298299298299300300299299299298300300299298299299299299299299299299299298299299299299299299299299299300300300299299299300300300300300300300299299300300300300300300300300299299298299299299299299299299299299298298298298298298299299299299299299300300301300300301301300300300301301300301301301300300300300301301301301301301301301300299300300299299300300300300299300299298300300298297299298297300300299300298300298297297297297296297296296296296296296296296296296296295295296296296296297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295296295295295295295294294294294293293294293293294294294295295295295294295295294294294294294295294294294294294294293293293292292292292292292292291291291290290289289289289289289289289289289289289289289289289289289289289289289289289289289288288287287286286286286286287287287287287287287287288288288288288288288288288288288288288288288288287287286286286286285285284284283283283283282282282282282282282282282282282282282282282282282283282283283283283283283283283283284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284283284284284284284284284284284284284284284284284285285285285285285285285285285285285285285285284284284283283282282282281281281281 999999999302307307302306307304305305306307307305305301999999999999999999999999999999999999999999999999999999999999295294294294293293295295295295295295296297295298299299299298301301300300299298301300300297298298299298298299299299301304304306304303304303300299295298299297297295299298299298298300300300301301301301303302301300299299298298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296295295294293293295296296296297296297297297298299299299299299299299300299299298298298298299299299299299300299298298299299299300299298298298298298299298299298298298297298298298298298298298298298297297297296295294294293293291290290290291291291291291291291292291291292292292293294295296296296297296296296296296295296999298301302300300300301302302302302302302303302303303303303305303304304303303303303304302302302302301302301301300300301300301302302301302302302302301301302302302301301300301300299299299299300300300299299299298299298299299298298298298298298299299300298298297299299299300299299298301299299300299299299300299299299299299299298298299299299300300300300300300300300300300299299299300300300300300299299299300300300300300300300300300299299299299299298299299299298299299298298298299299299298298299299300300301300300301300300300299300300300301300301300300300301301301300301301300301300300300300300300299299300299300300300300300300299299299299298299299298299299299299298297297296296296296296297296296296296297297296296296296296296297296296297297297297296296296296296296296296296296296295296297296296296296296296296296296296296296296296296296296296296296296295295295295295294294294294294294293293293293294294294295295295295295295295295295294295294294295294294294294294294293293293292292292292292292291291291291290290290289289289289289288288288288288288288288288289289289289289289289289289289288288288287287286286285286286286286286287287287287287287288288288288288288288288288288288288288288287287286286286286285285284284284284283283283282282282282282282282282282282282282282282282282282282282282283283283283282282283283283283284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284285285285285285285285285285285285285285285285284284284283283282282282281281281281281 999999999308307308305303303305304303305306305307305304301999999999999999999999999999999999999999999999999999999999296295294295296296296296296296296296296296296298299299297299301302300300299300301300300300300300299298299299298299302305304304305304303304302302302301300298296298297299299300301300300299300302302302302302301300300300300301296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295294295294294293294296296297297296297298297298299299300299300300299298299299298298298299299300299299299300299299299299300299299298298298298298298299298299299298298298297298299300298298299298298299298297296295294293292292290290290291291291291291291291291291291291291292292293294295296297297297297296296294293999999999999301302300301300301302301302302302303303303302302303304304304304304303303304305304303303303302302302301302301301301301300301301301302302302302301301301302301301302301300299299299300300299300300298299300298299299299298298298299298299298299299299298298298299298299300299299300300300300299299299299299299299299298298298298298298299299299299299300299300300300299300300299299299299299299299300300299300300299301300300300299299299299299299299298298298298298298298298298298298299299298298299299299299300301300301300300299299300300299300300300300299301301301301301301301300300300300300300300299299299299299300299300300300300300300299299298299298299299299298298298297297296296296296296296297297297297297296296296296296297297296296297297297296297296296296296296296295296296296296296295296296296296296296296296296296296296296296296296296296296295296295295295294294294294294294294294293293293293293293294294294295294295295295295295295294294294294294294294293294294293293293293292292292291291291291291291290290289289289289289288288288288288288288288288288288288288288288288288288288288288288287288287286286285285285285285286286286286286286287287287287287287287287287287287288287287287287287286286285285285284284284284284283283283283282282282282282282282282282282282282282282282282283283282282283283283283283282282283283283283284284284284284284284284284284284284284284283284284284284283284284284284284284284284284284284284284284284284284284284284284284284284284284284284285285285285285285285285285285285285285285285284284283283282282282282281281281281281 999999999999307308314305307305305307306306308306305302304303999999999999999999999999999999999999999999999999999999999295295294295296297296295295296296295295298299299299299299300300300299299300300300300301300300298298296297296298301300302304301300300300299302300300299298298296297299299300300300300300300301301301301301301301301300301302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295294294294293294296297297297297297298298298299300299299299300299299299299298299299300300301300300299299299299297299299300300299298297298297298299298298299299299299298299299300299299299299299299299298297296294293291288289290290291291291291291290291291291291291292292292294294295296297298297297297295292298999999999299302301301301301300301302302301302302303303303303303303303302303303304304304303304303302302302301302302302302302301300300301302301301302302302301302303302301301302300300299300300300297300300300298300300300300297298298298298299299299299299299299298298299299298299299298298298299300300299298299299299299299299299299298298297298299299299299299300299299299299300300299299299299300300300300300300300300299300300299299300299299298298298299298298298298297297298298298297297298298298298298299299299299300301301301300300299299300299300299300299299299301301301301301301300300299298299299300300300300299300300299299300300300299299300299299299299299298299298298297297297297296296296296296296296297297297297296296296297296297297297297297297297297297296296296296296295295296295295295296296296296296296296296296296296296296296296296295296296296295295295295295294294294294293294294293293293293293293293293294294294294294294294295294295295294294294294294294293293293293293293292292292292292291291291291291291290290289289289289288288288288288287287287288287287287287287288288288288287287287287287287287286286285285285284284284285285286286286286286286286286287287287287287287287287287287287286286286285285285284284284284284284283283283282282282282282282282282282282281281281281282282283282282282282282282283283283282282282282283283283284284284284284284284284284283284284283284284283283283283284284284284284284284284284284284284283284284284284284284284284284284284284284284284285285284284284285285285284284285285284284284284283283282282282281281281281281281281 999999999999999304307308305999305307308307306305304304304303302999999999999999999999999999999999999999999999999999999999295294293296296296294294294295295295297297296299297298300300299298298299298299300300298298296297297298298299302303304304300300301301301302298296298297298297296297297299300300301301300302303303303302298298301300300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295294292294295296298298297297297298299299299299299299299300300300300300299299300299300299299299298298298298299300300300299298298298297298298297298298298298298299298298298298298298299299299299299298296294293291289289290290291291291290290290291291291291291292293293294294294295296297294295294295295999999999999300302302302302302301302302302302301302302301302302302303302303303303303303303304303304302301302301302301301301301301300301301301302301301302301300301302301301301300302301301299298299298299299300299300299299298298298297298298298298298298299299299298299299299298298298298298298298299299299299298298299298298298299299299299299299299299299299299299299299299299299299299299299300299300300299300300299299298299300299299299299298297297297298298298298297297297297297297297297297297297298298298299299298299300300300299299299299299299299298299299300299300300300301300300300299299299300299299300300299299300300299299300300300300299299298299299299298298298297297297296296296296296296296296296296296297296297296297297297296296297297297297297297297297297297297297296296296296296295295296296296296296296296297296296296296295296296296296296295295295295294294294293294293293293293293293293293293293293293293293294294294294294294294294294294294294294294294293293293293293293292292292292292291291291291291291290290289289289289289288288288288287287287287287287287287287287287287287287287287287286286286286286285285284284284284283284284285285285285285285286286286286286286286286286286286286286286286285285285284284284284283283283283283282282282282282282282282281281281281281281281281281282282282282282282282282282282282282282282282282283283283283283283283283283283283283283283283283283283283283283283283283283283283283283284284283284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284283283282282282281281281281280280280280 999999999999999999298303999999999303308305303304303303305306303302301300999999999999999999999999999999999999999999999999295295294296296296293294295295294295296296296298298297299299299299297298297298300301298298298299298298299300303303302300300300299299300300298297296298298298298298299299299302302301299303303303302297297299300300298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304301299297295295292294295295297297297297297298298298298299299299299299299299300300299299299299298298298298297297297297298298298299298298298296297297297297297297297297297296297297296298297298297298298298298298296293292290288289289289289290290290290290290290291290291292293294294294294295296296295294999299297294999999999298300301301301301301300301302302302302302301302301301301302302302302302302301302302302302301301300301300300300300300300300300301301301301301301300300300299300299300300299299299298297298299297298299297298298298298297297297296298297297297298298298298298298298298298297298298298298298298298297297298298298298297297298298298298299298299299299298298298298298298299299299298298298299299299299299299298298298298298299298298297297297296295297297296296296296296296296296297296296296297297297297297298297297297297298298298298298298298298298299299299299299300300299299299299299299300299299299299299299298298299299298298298298298298298298298298297296297296296296296296296296295295295295295295296296296296297297296296296296296296297296297297297297297297297296297296296296296296295295295295296296296296296297297297297296296296296296296296295295294294294294294293293293293293293293293292293293293293293293293293293294294294294294294294294294294293293293293293292292292292292292292292291291291291291291290290290289289289288288288288288288287287287287287287286286286287287287287287286286286286286286285285285284284284284283283284284284285285285285285285285285285286286286285285285285285285285285285284284283283283283283283282282282282282282281281281281281281281281282281281281281281281281281281281281281281282282282282282282282282282282283283283283283283283283283283283283283283283283283283283283283283283283283283283283284283284284284284284284284284284284284284284284284284284284284284284284284284284284284283283283283283282282282281281281281281280280280280 999999999999999999999999999999999999999305304298999304307306304303301299299999999999999999999999999999999999999999999999294293294296295295296296294294296295296298298298299298299300299299296296298297299300299301300299299299300301302300299299299299301300300300299298299299299299299298297299299301301300301302303302298295296300300301301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305302300297295295294295295296297298298297297298298298299299300299300300300300300300300300299298299298297297297297297297297296296297297298296297297298297297297297297296295296297297297298298298298298298298298297296295292289288289288289289289289289289290290290290290291292293293293293294294295296295999999300298296999297298300300300300300300300300301301302302302301302302302301302302302301301302301301302301301301301301301300300299300300299300300301300300300300301301300299299299299300300300300299300298298299298298297298298298298297298298298297297297296297297298298298297298298298298298298298298298298298298298298298297298298298298297297298298298298298298298298298298298298298298298298298299298298298298298298298298298298298298297298298297297296297296296296296296296296296296296296296296296296296296296297297297297297297297297297297298298298298298298299299299300299299299299299299299300299299299299299299299299299299298299299298298297298298298298298298296296296296296296296296296295295295295295295296296295296296296296296297297296296297297297297296298297297297297297296296296296296296295295296296296296296296296296296296296297296296296296296296296295295294294294294293293292293292292293293293293293293293293293293293293293293294294294294294294294293293293293293293292292292292292292292291291291291291291291290290290290289289289288288288288288288287287287287287286286286286286287286286286286286285285285285285284284284284283283283283283284284284284284284284285285285285285285285285284284284284284284284284284283283283282282282282282282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281281281282282282282282282283283283283281283283283283283283283283283283283283283283283283283283283283283283283284284283284284284284284284284284284284284284284284284284284284283283283283283283283283283283282282281281281281281280280280280280280 999999999999999999999999999999999999999298999999999999308306305304301301301301999999999999999999999999999999999999999999999293293296296296296296296297298297297298298299298298299299300299299298298298298297299301300299300299299300299299298300300302301301301300300299300301301302301298999999300299302302302304300300297295298300300300299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306302298298297296296295296297297298299298297298298298299300300300300300300300300300301300299299299299298297297297297297297296297298297297296294297297297297297297297297296297297298299298298298298298297298298296295293291289289289289289289289289289290289290290290290292293293293293293294294294294999999301302300300300300299299299299299299300300301301301301300301301301302302303302301302301302301301301301301300301300300300300300299299300299300300300301301300300300300300299300299298300300300299299301298298298298298298298297297298298298298298297297296296297297297297297295297297298297298298298299298298298298299299298298298297297297297297298298297298298298298298297297298298297297298297298299299299298298298297297296297297297298298297297297296296296296296296296296296295295295295295296296296296296296297296297296297296296297297297297297297298298298298298298298299299299299299299299299300300299299299299299299299299298298298298298298297297297298297297296296296296296295296295295295295295295295295295296295296296296296296297296297297297297298298298298298297297297297297296296296296296296296295295296295296296296296295295295296296296295296296295295295295295294294294293293293293292292292292293293293293293293293293293293293293293294293294294294293293293293293293292292292292292292292292291291291291291291291290290290290289289289289288288288288288287287287286286286286286286286286286286286285285285285284284284284284283283283282283283283283284284284284284284284284284284284284284284284284284284284284283283283283283282282282282282282282282282282282282281281281281281281281281281281281281281281280280280280280281280281281281281281281281281281281282282281284283282283282282283283283283283283283283283283283283283283283283283283283283283283283283283283283284284284284284284284284284284284284284284283283283283283283283283283282282282282281281281280280280280280279279279279 999999999999999999999999999999999999999304999999999307308306306307303302301303304300999999999999999999999999999999999999999294295296296296297297297298297297298299298298299299299299300300298299298297296300299300298298298298298298298296296300301303301301301300301300301301302303302999999999999300304303305303303301299298299299302300296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304300295299297296296295296296298298297298298298298298299300300300301301301300300300300300299299299299298298297297296296297297296297297297296297297297297297297297297298298298299299300299299299300299298298298296295292287288288289289289289289289289290289290290290291291292293293293294294293292292999300300301301301300300301300299299299299300301301301300299299300300300300302301302301302301301301302301301301301301301301301300300300299300300301299301304302300301301301300300299299299300300299299299299298298299299298298299297297298298298298298297297297297297298297297296297297296297298297298299298298298298298299299299299298298297297298297298298297297297297297298297297297297297297297297298298298298298298298298297296296297297297297297296296296296297296296296296295295295295295295295295296297295295296297296296296296296295296296296297297297298298298298299298298298299299299298298299299299299298299298298298298298298298298298298298297297297297297296296296296296296295295295295295295295295295295295295295296296296295296296296297297297298298298298298298298297297297297296296296296295296296296296295296296296296296296295295295295295295295295296295295295295294294294293293293293293292292292292292292292292293293293293293293293294293293293293294294293293293293292292292292292292292292292291291291291290290290290290290290290289289289289288288288288287287287286286286286286286285285285285285285285285284284284284284283283283283282282282282283283283284284283283283283284284284284284284283284284283283283283283283283283282282282282282282282282282282282282282281281281281281281281281281280281281281281281281280280280280280280281281281281281281281281281281282283283284282283283283283283283283283283283283283283283283283283283283283283283283283283283283283283284284284284284284284284284284284284284284283283283283283283283283282282282282281281281281281280280280280279279279279279 999999999999999999999999999999999999999999999999999302303303300299300305304304302302300999999999999999999999999999999999999999295296296296296296295297298297298298298298299299299299300300299298297296296299300300298298298297298298298297298297298298300300300299297297298299301301298999999999999999305305303302303299296300303303302298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297297297297297298298296296296297297298297297298298299299300300301300299300300299299299298298298298297297296296296296297296295297296297297297297297297296297298298298299299299300299300300300299299298296293293285285286288290289289289289288289289288289290290291292292294294293293293292290999999999999300301301301301300301299299299299300300301301300300299299300301301301301303302302301301301302302301301300301301301301300300300300300300300299300302301300300300300301300300299299300299300300299297297298298297299299299298298298298299298298298298297297296297297297297296296297297297298298298299298298298298298298298299298299298297298298297298297298297297298298297296296297296297297299299299298298298298298297297297296296296296297297296296296296296296296296297296295295295295295295295295295296295295296295295295295295295295295296296296297297297298298298298298298298298299298298299299298298298298298298298298298298298298298297297297296297296296296296296295295295295295294294294295295295295295295295295295296296296296296296297298298298297297297298298298298298297297296296296296296296296295296296295295295296296296296295295295296295295295295295294294294294294293293293293293292292292292292292292292292292292293293293293293293293293293293293293293292292292292292292292292291291291291291291291291290290290290290289289289289289288288288288287287287287287286286286286285285285285285285285284284284284284284284283283283282282282282282282283283283283283283283283283283283283283283283283283283283283283283283282282282282282282282282282282282282282282282281281281281281281281281281281281281281280280280280280280280280280280280281281281281281280281281281281282282282282283283283283283283283282282282282282282282282282282282282283283283283283283283283283283283283283283283283283283283283283283283283283283283283282282282282282282282282281281281280280280280280279279279279279279 999999999999999999999999999999999999999999999999999302299301296294297303304304304304303302300299999999999999999999999999999999295295296297296296296295296298297297297298299299299299299298298299298297297298298298298299297296296298299298297298297298300300299299297296297298300296294999999999999999999999999999999999999296299297299298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296297297296296297297298297297298298298297298299299299299300300300300300299299299300299298299298297296296296296294296296296296296295296296296296296296297298299299298300299299300300300300299299298293290999999285285288288289288288288288289289288289289290290292292293294294294294292289999999999999298299299300300300300299300299299300300300300300299299298299299299300300300301301300302301302302301300301300301301300300300301300300300300300298301300300300300300299299299299300300299299298298296297297297297298299299299298298299299298298297297296296296297297296296296297298297297297298298298298298298297297298298298299299298298298298298297296297297297297297297296296296296296296298298297297297297297297296296296296296296295296296295295296296295295295296294295295295295294294295295295294295295295295294295295295295295295295295296296296297296297297297298298298298298298298298298298298298298298298298297298298298297297297297297296296296296296295295295295294295294294294294294294294294295295295295295295295295295296296296297297297297297298297297297297297297297297296295296295295295295295295295295295295295295295295295295295295295295294294294294294294293293292292292292292292292292292292292292292292292292292292293292293293292293293293293293292292292292292292292292291291291291291291291291291290290290289289289289288288288288288287287287287287287286286286286286285285285285285284284284284284284284284283283283282282282282282282282282283283283283283283283283283283283283283283282282282282283282282282282282282282282282282282282281281281281281281281281281281281280280280280280280280280280280280280280280280280280280280280280281281280280280280281281281281281282283283283283283283282282282282282282282282282282282282282282282283282282282282283283283283283283283283283283283283283283283283283283283282282282282282282282281281281281281281280280280280279279279279279278278 999999999999999999999999999999999999999999999999999999999298999999299300302304304305304303302301299999999999999999999999999999296296294297296296295296296297297298298299299299300299299298299299298299299299297296298296296297297297299299298298297297298298298298297296297297297999999999999999999999999999999999999999999999999294298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295298297295296296295296298298297298298298300300299300301301302301301300299300301298300299298298297297297297295295295295295295294294295295296295296298297299300300300300299300300299299298298297293999999999999284288289288288288288289289288288288289290291292293293293293294294293999999999999999298297298299298298999299301300300301301300300299298300299300300300300301301301300301302301301301301301301300301300300300300301301300300300300300300300300299299300299299300300300299300299298298298297297297297298298298299299298298298299298297297297296296296296296296297297297298297297297298298298298298297297297298298298298299299298298298298298298298297297297297296296296296296296297297297297297296296296296295296296296295295296295295295296295296295295295295295295294294294294295295295295295295295295295294295295295295295294295295295296296296296297297297297297297298297297297297297298297297297297297297297297296296296297296296296296296295295295295295294294294294294294294294294294294295295295295294295295295295296296296296296297297297297298297297297297297297296296296295296295295295295295295295295295295295294295295295295295295295294294294294293293293293292292292292292292292292291292291292292292291292292292292292292292292293292293293293292292292292292292292292291291291291291291290290290290290289289289288288288288288287287287287287287287286286286286286286285285285285285284284284284284284284284283283282282282282282282282282282282283283283282282282282282282282282282282282282282282282282282282282281281281281281281281281281281281281281281281281281281280280280280280280280280280280279279279280280280280280280280280280281281281281281281281281281281284281283282282282282282282282282282282282282282282282282282282282282282282282282282282283283283283283283283283283283283283283283283283282282282282282282282282281281281281281281281280280280280280279279279278278278 999999999999999999999999999999999999999999999999999999999999296301999999999304303302302302302301299299999999999999999999297999999296296298297297296296297298298298299299299300299299298298298298297299298298298297298295297298299298298298299298299298298298297298297298298297295999999999999999999999999999999999999999999999999999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295294293294294295297298298298299299300299299299300300301301301300298297297299298299297297300298298298297296294296294295294293294295295295296298299300300301300300300299300300299298294292293999999999999288288289289289288289289289289288288290290291291293293294294295295293999999999999999295296297999999999999300301300301301301300300300299300300300300301300300300300299300301301301302302302301301301301302301301300300300299301301299300300300299299298300300300300300299301299300298298298300298298298298299298298298298298298298297296298297298296296296296296296297298298297297297298298298298298298298299298299299299299299298298298297297298297297297297297297297296296296297297296296297296297296296297296296296295295296296295295296296296295295295295295294294294295294295295295295295295295295295295295295295295295295295295295296296296296297297297297297297297297297297297297297297297296297296296296296296296296296296296295296295295295295294294294294294294294294294294294294294295295295295295295295295295296296296296296297297297297297297297297297297296297296296296296296295295295295295295295295295295295295295295294295294295294294294294293293293293292292292292292292292292292292291291292292292292292292292292292292292293293293293292292292292292292292292292291291291291291291290290290290289289289289289288288288288287287287287287287287287286286286286286285285285285285284284284284284284284284283283283282282282282282282282282282282283282282282282282282282282282282282282282282282282282282281281281281281281281281281281281281281281281281281280280280280280280280280280280280280279279279279279279279279280280280280280280280281281282281282282281281283283281282282282282282282282282282282282282282282282282282282282282282282282282282282282283283283283283283283283283283282283282282282282282282282282282282282282282281281281281281280280280280280279279279278278278 999999999999999999999999999999999999999999999999999999999999999300999999999302301302302301302301301300999999999999999999299999298297297299298297298298297297298299299299299299299299299298297298297297296297298299299299300299299298297299299300299299299298298298297297298296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294292293294295296297298299299299300299299299299300300300300299294292298298298298298297297298299299298296296296295294293294293294293294296297299300300300300300299299300300299295293999999999999999288287289289288288288289289288288287287288290291291292293294294294294292999999999999999295298999999999999999300300301300301300300300300299299300300300299299300300300300300300301301302302301301301301302301301300300300300299300300299299299299299299298299300300299298298299299299299299298298298299299299299299298298297298297297297297297296296296297296297297296297297297297297297298298298298298298298299298298299299299299298298298298297297297297296297297297296296295296297296296296295296296296296296295296296295295295295295295296295295295294295295295294294294294294295295295295295295295295295295295295294295295294295295295295295296296296296297296296296297297296296296296296296296296296295296296295295295295295296295295295294295294294294293293294294294294294294294294294294294294294294294295295295295295295295295296296296297297297297297297297297297297296296296296296296296295295295295295294294294295294294294294294294294294294294293293293293293292292292292292292291291291291291291291291292292292292292292292292292292292292292292292292292292292292292291291291291290290290290290290289289289288288288288288288287287287287287287287287286286286286285285285285285285284284284284283283283283283283283282282282282282282282282282282282282282282281281282281281281281281281281281281281281281281281281281281281280281281281281281281281281280280280280280280280280280280280280280279279279279279279278278279279279279280280280280280281281281282282282282281282282281282282282282282281281281282282282282282282282282282282282282282282282282282282282282282283283283282282282282282282282282282282282282282282282281281281281281281281281281281280280280279279279279279278278278 999999999999999999999999999999999999999999999999999999999999999300999999999304301301299301302303301299299299297300299299299299299298297298299298298297297299298299299298299299298300300296298298297296297297297296299300300298298300299300301300301300298298299300299297298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294296296297298299300299300299299299299299299298300299297999999999999298296293294296297296299297296296295294292293292292292294296298297300298300300300299300301300298292289999999999999287288288288288288288288289289288289288288289291291291291292293294294292999999999999999299297999999999999999999300299301300301300300299299299299299299300300300301301301300300301301301302302301302302301301301301301300301300300300300300299300299301301300299299299300299298299299298299299298299299299299299299299299298298298298297297298297297296296297297297297296297297297297297297298298298298298299298298298299299299299299298298298298297297298297297297297297296296296296297296296296296296297296295297296296296296295296295295296296295295295294295295294294295295295295295295295295295295295295295295295295295295295295295295295295295296296296296296296296296296296296296296296296296295295296296296295295295296295295295295295295294295295294294293293293294294294294294294294294294294294294294294295295295295295295295295295296296297296296296296296296297297297297296296296296296296296295295295295294295295295295294294294294294294294293293293293293292292292292292292292292292291291291291291291292292292292292292292292292292292292292292292292292292292292291291291291291290290290290290290290289289289288288288288287287287287287286287286286286286286286286285285285285285285284284284284283283283283283283282282282282282282282282282282282282282281281281281281281281281280281281281281281281281281281281281281280280280281281281281281281281281280280280280280280279279279280280280280279279279279279279279279278279279279279280280280280280281281281282282282282282282282282282282281281281281281281281281282282282282282282282282282282282282282282282282282282282283282282282282282282282282282282282282282282282282282282282281281281281281281280280280280279279279279278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999299299299305298300301300298300300300299298297298297297999999999298300299298297299299299299298299299298299298298296296297297297298298295300300300298297298299299301301301299297298298299298299297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295296296297297299299298299298299298299297298298297297297999999999999999999289291292292292295295293293293292292291290290292294294295296299298300300300299300300298295999999999999999999287288288289289288288288289289289289289290291291291291291293293294295292999999999999301300297297999999999999999300300300301301300300299299299299298300300300300301302301301301301300299299300302303302301301301301300301301300300300300299299299301300300301299299299300299299299300300300300300299300299299299298298298297298297298298298298298297297297297297298297297297298298297297298298298298298298299299298299299298299298299298299298298298299299298298298297297297297297297297297296296296297297296296296296296296296296296296296296296295295295295295294294294295295295295295295295295295295295295295295295294295295295296296295294295297296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294295295295295295295295295296296296296296296296296296296296296296296296296296296296295295295295295294294295295295294294294294294293293293293293292292292292292292292292292292292291292291291291292292292292292292292292292292292292292292292292292291292291291291290290290290290290290290290290289289289288288288288287287287287286286286286286286286286286286285285285285285284285285284284283283283283283283282282282282282282282281281281281281281281281281281281281281281280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280279279279279279279280279279279279279279279279279279279279279279279279279280280280280281281281282282282281281281281281281281281281281281281281281281281282281282282282282281281282282282282282282282282282282282282282282282282282282282282282282282282282282282282281281281281281281280280280280279279279279278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999298298298999298299299298298999999296999999999999297296298298296298298298298298298296298296298297297296296295296297297300297297296297294296297298297298299299298298298299298298293297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293296297297298298298298299298298298298296296296296295295999999999999999999999296295295999294294289290291290291288288288290291292292294294296299300297297297296293999999999999999999286287288288288289288288288289289289290290290291291291291292293294294294293999999999301300298999999999999999999299299300300300300300299300300299299299300300300300301301301300302302300300298298302301301301301300301301300300299299299300299299299300301300301301299300299299299299298299299299300300300300299298299298298298297298297298298298298297297297297298297298298298298298298298298298298297298298299298298298298298298298299299299298299299299299298298298297297297297297297297297297296297296296296296296296296296295296296295296296295295295295295295294294294295295295295295295295295295295295295295295295295294294294295295295295296295295295295295295295295295295296296296295295295295295295296295295295295295295295295294294294294294294294293294294293293294294294294294294294294294294294294294294294294295295295295295295295295295296296295296295296296296296296296296296296296296295295295295294295294294295294294294293293293293293293292292292292292292292292292292292292292292291292291291291291291292292292292292292292292292292292291292291291291291291291290290290290290290290290290289289289289288288288288287287287287286286286286286286286286286286285285285285285285284284284284283283283283283283282282282282282282281281281281281281281281281281280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280279279279279279279279279279279279279279279279279279279279279278278279279279279279279279279279279280280280280280281280281281281281281281281281281281281281281281281281281281281281281281281281281281281281282282282282282282282282282282281282282282282282282282281281281281281281281281281281281280280280280280279279279279278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298297298298299294295999298298296297999999293295296297299299298297298297297297297298297296295297295293295294297295295296297295296295297299298299299301300299298300297297294297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297296296297297299298298298298298295294294295295999999999999999999999999999999999999999999999999999999999286286285287290290290290291292296296296292292292999999999999999999287287288289288288289289288289289290289290290291291292292292292293294294294294292999298300300999999999999999999299299299300300299300300299301300299299299300299299300300300301300300302302302301301302301301301301301301301301300300300299300299300299300300300301300300301300299299297298298299298299299300300299299299298298298298297298298298298298298297297297297298298299298298298298298298298298298298298298298298298298298298298299299299299299299298299298298297297297297297297297297297297296296296296295295296296296297296296295295296296295295295295295295294294294295295294295295295295295295295295295295295295294294294294294295295294295296295294295295294295295295295295296295295295295295294295295296295295295295295294295294294294294294294294293294294293294294294294294294294294294294294294294294294295294294295295295295295295295295295295295295295295295295295295295295296295295295295295295295295294294294294294294293293293293292292292292292292292292292292292292292292292292292292292291291291291291291291292292292292292292292292291291291291291291291291291290290290290290290289289289289289289288288288288288287287287286286286286286286286286286286286285285285285285284284284284284283283283283283283283282282282282281281281281281281281281281281281280280280280280280280280280280280280280280280280280280280280280280280280280279279279280279279279279279279279279279279279279279279279279279279279279279278278278278279279278279279279279279279279279279279279278282282281281281281281281281281281281281281281281281281281281281281281281281281281281282281282282282282282282282282282281281281282281281281281281281281281281281281281281281280280280280280280279279279279278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296296999298296293295297298999296294298999295294298300300299297299298298297297297296295298296295299297297295297299295296299297299297298299300300299301300298299298297298295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300296999999999999999296298299298296296297298298298299297297298999298298298999999999999999999999999999999999999999999999999999999999999999999292999999999999999999999999297297297999999999999999999999287288289289289288288289289288289290290290291292291291292294294294294294295294294293292999297296999999999999299299300299299299299300299300300300300300300300299299299299299300300300300300301301301302302301301301301301301301301299299299300298298299301299299300301301300301300299299298298299299299298299300300299299298298298297298298298298299299298298297298298298298299297298298298299298298299299299298298299298299298299299299299299299300298299299299299299298298297297298298298297297298297297296296296296295296296296296296296295296296296296296295295296295295295295294295295295295295295295295295295295295295295294294294295294294295295295295295294294294294295295294295296295295295295295295294295295295294294295296295294295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294293293292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291292292292292292292291291291292292291291291291290290290290290289289289289289289289288288288288288287287287286286286286286286286286286286286286285285285285285285284284284284284284283283283283283282282282282282281281281281281281280280280280280280280280280279279279280280280280280279279279279279279279280280279279279279279279279279279279279279279279279279279279279279279279279279279279279279278278278278279278279279279279279279279279279279279279279281281281281281281281281281281281281281281281281281281281281281281281281281281281281282282282282282282282282282282282282282281281282282281281281281281281281281281281281281281280280280280280279279279279278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999298298298999999296297296999299298295298298299300298297295297296298297297298298298297297298298298295294295294296296297293298294294293293297297298299297297298300301299299299298301299297293289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292295295295296296296295296298300299298297296297298299297298297296298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288289290290289288289289289289289290290290291292292292291293293294294294294293291291290999999999999999999295298301299299300300299299298299299300301301301300299300299299299299300300299299300300301301301302301301300300300301300299299299299299299299299299299300300300299301299299298300300300299298299299299299299299297297298298299298298298299299299298298299299299299299299299298298298298299299299299299299299299299299299299299299299299299299299299298299299298297297297298298298298298298298297297297297297297297297296296296295295296296296296296295296295295295295295295295295295295295295296296295296295295295295295295295294294294294294295295294294294294294294294294295295295295294294294294294294294294294294294294294293294294294294294294294294294294294294294294294294294294293294294294294294294294294294294294294294294294294294295295295295295295295295295295295295295295295295295295294294294294294294293293293292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291292292292292292291291291291291291291290290290290289289289289289288288288288288288288287287287287287287286286286286286286286286286286286286285285285285285284284284284284283283283283283283282282282282281281281281281281280280280280280280280280280280279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279278278278278278278278279279279279279279279279279280280280281281281281281281281281281281281281281281281281280281281281281281281281281281281281281281282281282282282282281282281282282282281281281281281281281281281281281281281281281281281280280280280279279279279278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293296295294297299299298299300299298298299299298299297297298298297297297297297297295293294298298297297299297298295293291294295297299300299301299300300301299300300300299298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295296295296296296298297299299300299297297297297298298297298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289290290289288289289288289290290290290291291292291291291292292293293293294293292289999999999999999999999999296294298299300300299298299299299300300301301300299300300300299299300299299298298298300300300300301301300301300299300300299299298298299298299299298298299299299300301300300299299299299299298299299298298298298298298298297297298298299299298298299299299299299300299299299299299299300300300300299299299299299299299299299299299299299299299299298299298299298298298298297298298298298297297297297297298297296296296295296295295295296296296295295296296296294295295296296295295295295295295295295295295295295295294294295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293294294293294293293294294294294294294293293294294294294294294293293293294294294293294294294294294294294294294294294294294294294294294294294294294295295294294294294295294294294294294294294293293293292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291292291291291291291290290290290289289289289288288288288288288287288288287287287287286286286286286286286286286286286286285285285285285285285285284284284284283283283283282282282282282282281281281281281281280280280280280280280280280280279279279279279279279279279279279279279279279279279279279279279279279279279279279278278278278278278278279279279279279279279278278278278278278278278278278278278279279279279279279279279279280280280280280280280280280280281281281280280280280280281280281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281280281281280280280280280280280280279279279279279278278278278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999295297296297298298300301300296298298297298298297297295295297296295296296297294294294295297297297295294294293293291293295297299297300300299299299299299298299303300299302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295294296296296295297297298299298298297298296296296297298297296296294288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288290290289288288288289289290289291291290290291291291291292292292292293293293293293291999999999999999999999999999999999297298299298298298298299300300301302301300300300300300300299299298298297297299299299299299300299299298298299298299299298299298297298297297297298299299300300300299298299299299298298299299299298298297298298297297297298298299299298299298299299299300299299300300299299299300300300300299299299299299299299299299299299299298298298298298298298298298298297297297297297298297297297297297297296296296295296296296296295295295296296296296295296295296295295295295295296295295295295295295295295295295295295295295294294294294294294294294294294294294293293293293294294294294294294294294294294294294293293293293293293293293294294294293293293293293293293293293293294293293293293293293294293294294293293293293293294294294294294294294294294293293294294294294294294294294294294294294294294293293293292292292292292292292292292292292292292292291291291292292292292291291291291291291291291291291291291291291291291291291291291291291291291290290290290289289289289289288288288287287287287287287287287286286286286286286286286286285285285285285285285285285285285284284284284284283283283282282282282282281281281281281281281281280280280280280280279279279279279279279279279279279279279279279279279279279278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278279279279279279279280280280280280280280279279280280280280280280280280280280280280280280280280281281281281281281281281281281281281281281281281281281281281280280280280280280280280280280280280280280280280280279279279279279279278278278278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999999297299299301302301299299298298298297298297297296296297297296296296297295296296296295296295293292294292293292294295296299297299301300299298299298298301301300297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296296294295294295296297299299298300299299299296298296297296297292999999999999298298297296297999999999999293291292293294292999290290291291290291291292293292292289999999999999999999999999999999999999999287288291290290290289288288289289289289290290290291291292291292292293294293293294293293291291291999999999290291999999999999999999299299298299299300300300300300301299300301302301302302302299299298298296298298298298298298299299298298298298297298299297298297297298298298297298298299298299299298298298299299299299299299299298297298298297297297298298298298299299299300299300300300299300300299300300300300300301300300300299299300299300299299299298299299299299299299299298298298298298298298298298298297297297297297296297297296296296296296296297296297296296296296296296296296296295295295295295295295296295296295296296296295295295295295295295294294294294294294294294294294294293293294294294294294294294294294294294293293293293293293293293293293294294293293293293293293293293293293294294293293293293293293293294294293293293293293293293293293293293294294293293294294294294294294294294294294294294294293293293292292292292292292292292292292292292292291291291291291291291291291291291291291291291291290290290290291291291291291291291291290290290290290290290290290289289289289288288288288288287287287287287287287286286286286286286286286286285285285285286285285285285285285284284284284284283283283283282282282281281281281281281281281281281280280280280280279279279279279279279279279279279279279279279279279279279278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278279279279279279279279279279279279279279279280279279279280279280280280280280280280280280280281281281281281281281280281281280280280280281281281281281281281280280280280280280280280280280280279279279279280280280279279279279279278278278278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297999999999999999298302303302300300300299299298299298297296297296296298298298296297297296297297294295294293293294293294294296296297299298298301299301299298299299303305301294299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296296295295295295296297298298300301301300298298298298298297298297293999999999999298300298297298297295294293293294294294294292291292292292293293293293293293292291291290999999999999999999999999288287288289290291290290290289289288288289289289289290290290291291292292292292294295294294294294293293291292290999999292292292292292289999999299299299299300300300299299299298298299300301302303304302302300299300297298298298298298298298298298297298297296298299298298298298299298298297297297299298298298298298299299300300299299299299298298299299298297298298299300299299299300300300301300300300300300300300300300300301301301300300300300300300300299300299299300299299299299299299298298299299299299298298298298298297298297297296296297296296296297297297297297297297296296297296296296296296296296296295295296295295296296296296296296296295295295295295295295294294294294294295295295294294294294294294294294294294294294293293293293293293293293293294294294293294294294294294294294293293293293293294293294294294294294294294294294293293293293293294294294294294294294294294294294294294294294294294294294294294294294294293293293292292292292292292292292292292292292291291291291291291291291291291291291291291291291290290290290290290290290290290290291290290290290290290290289289289289289288288288288288287287287287287287287287286286286286286286286286286286286286285285285285285285285285284284284284283283283283282282282281281281281281281281281281281280280280280279279279279279279279279279279279279279279279279279279279279278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278279279279279279279279279279279279279279279279279279280280280280279279280280280280280280281280280280280281281281281281281281281281281281281281281281281281281281280280280280280280280280280280280279279279279279279280280280280279279279279278278278278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301301300300299299299299298298297298298298298297298297297297296295294294295294294293293294295295294296296297297297297298298300299301302309302303296294294297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295297297296295295295296297299299300300300300300299298298299298298294290999999999297299300298297297297296295295296296295295295294294294295295295294294293293293294293292292291291290288289288289288288288290290290289289289289289288288288289288288289289290291291291292293293293295295295295295295294293291292290999999294294294294294294295295295295299299300300300299298299298297298300300301302302301301301301300298297298297298297298297297297298297297297297298298299298298298298297297297297297297298298298298299299298299299298298300298298298298298297297298298300300300300300299300300300300300301301301301301301301301301301301301301301301301300300300300300300300300300299298299299299298299298298298298298298298297297296297297296297296296297297297297297297297297297297297297296295297296296296296296296296296296296296296296296296296295295295295295295295294294294294294295295295295295294295295295294294294294294294294293293293293293293293293293293293294293294294294294293294294294294294294294294294294294294294294294294294294293293293294293293293293294294294294294294293294294294294294294294294294294294294293293293293293293292293292292292292292292292292292291291292291291291291291291291291290290290290290290290290290290290290290290290290290290290290289289289290289289289288288288288288287287287287287287286286286286286286286286286286286286286286286286285285285285285285285284284284283283283282282282282281281281281281280280280280280280280280280280279279279279279279279279279279279279279279279279278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278279279279279279279279279279279279278278279280279280281280280280280280280280280280280280280281281281281281281280281281281281280280280280280280280280280280280280280280280280279279279279279279279279279280280279279279279279279278278278278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301300299298298298300299299300299297297300300300299299298296294295293294293293293292292294293293292295295295296299297296298298298299301306304303299298295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297296295295295296296297298299300300300300300299299298297297296294999999999297297297299298297297297297297297297297297297297296296295296296296296295295295295295295294294294293292291290290290290290290289289289289288288289289289289289289289288288289290291290291292292293293294294294294294292294293291291292999999294294294294294293295294295295295298299299299300299299298297296296298299300300300300300301301300299299298297297297297297298297297298298298296297297298298299298298297297297298297297297298298299299299300301301300300299298298297298297298299299300299299300300300300300300300300301301301301301301301301301301302302301301301301300300300300300300300299300299299299299299299299298298298298298298298298297297297297297297297297297298298298298297297297297297296296296296296296296296296296296296296296296296297296296296296296296295295296295295295295295295295295295295295295295295295295294294294294294294294293293293293293293293294294294294294294294294294294294294294294294294294294294294294293293293294294294294293293293293293293293293293293293293294293293293293293293293294294294293293294293293293293293293293293293292293293293292292292292291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289288288288287287287287287287287286286287287287287287287287287287286286286286286286286285285285285285285284284284283283282282282281281281280280280280280280280280280280280279279279279279279279279279279279279279279279279279279279279278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278279279279278278278278279279279279278279280281281281281281280281281281281281281281281281281281281281281281281281280280280280280280280280280280280280280280280280279279279279279279279279279279279279279279279279279278278278278278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301299299300301300300300298300298297299298298300300299298297295295296292293293291291292294293292293294294295295294297299299297298300301301302303302296298292298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300297295295296296296297298300300300300299300301300298297294295294289999999298299298300299298296297298298298297298297297297297297297297298297297297297298298296296296295294294293293291290290289289289289289289289288288288289290289289289289290289290290291291291291292292293295295294293293293292293291291289999999293293294294294294295296294294295297297296296299298298297297297296298299300300299299299299300301303302299297298297297297297298298298298298297298296297298297297297297297297297297297297298298297300300301299301300299299299299298298298300298298299300301300300301300301300300300301301301301302302302302302302302302302302302301300301300300300300300300300299300300300300299299299298298299298298298298298298298298298298298298298298298298298298297296297297297297296297296296297297297296296296296296296296297296297296296296296296296296296296296295295295295295295295295295295296295295295295295294294294294293293293293293294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293293293294294293293293293293293293293293293293294294293294293293293293293293293293293293293292292292292291291291291291291290290290290290290290290290290290290290290290289290289289289289290289289289289289289288288289289289288288288288288287287287287287287287287287287287287287287287287287287287287287286286286286285285285285284284284284283283283282282281281281280280280280280280279279279279279279279279279279279279279279279279279279280279279279279279279279279279278278278278278278278278278278278278278278278278278278278278278278278278278279278278278278278278278278278278278278278278278278278279278278278278278279279279279279279279279280280280281281281281281281281281281281281281281281281281281281281281281281281281281281280280280280280280280280280280280280280280280280280279279279279279279279279279279279279279278279278278278278278278277277