2020 8 31 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107107106104106109111113114114116117116115114110107103100 98 97 96 96 96 95 95 95 95 97101102104107108110110111113113112111111110110109109108107107106107107106106106107107107108108107107107107106105101101103999999999999999999999999999999999999999999999999999999999999999999999120120120120120121121121121121121999999999124124124124124123123123124124125999999999125126126125125124123123122122122121121120120120119119119118118117117116116115114113113112111110109108107107106999105105105105104105106106107108108109110110111112112112113113113113113113113113113113113113113113112112112111111110110110109109109109109109109109109109109109109109109108108108108108108108108108109109109109109109109109109109109109109109109109109109109109109109109109109110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 94 95103104105105104107110111112113113114114112112109106104100 97 95 93 93 93 93 93 92 92 93 96102106108110111112113113113112112111111110110111111110110110110110110109109109110110110110110109109108108106105106101999999999999999999999999999999999999999999999999999999999999999999122121121121121121121121122122122122122999999123123123123123123123123123123123999999124124124124124124123123123122122121121120120120119119119118118117117117116115115114113113112111110109108107107106105105105105105105105106106107108108109110110111112112112113113113113113113113114113113113113113113113112112112111111110110109109109109109109109109109109109109109109108108108108108108108108108108108108108108109109109109109109109109109109109109109109109109109109109109109109109109109110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 94 99102103104104104108109111112112112111111109106104101 98 93 91 89 89 89 91 93 94 93 95 99102105107110111111111112113112112112113113113113114114113113112111110110110110111111112110109110109108108106108112999999999999999999999999999999999999999999999999999999999999999999124123123122122122122122122122122122122122122122122122122122122122122122122122122122122122122122122122122122122122122122121121120120119119119118118118117117116116116115114113112112111110109108107106106105105104105105105105106106107108108109110110111111112112113113113113113113113114114114114113113113113113112112112111111110110109109109109108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124133132129128129128127126124124121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 95107111113114113112113114115115113110110109108105103100 95 92 90 89 87 87 89 92 94 96100104106107108109109109111112113113114114115115114114115115114113112111109109109109110110108107105103103104103102999999999999999999999999999999999999999999999999999999999999999999999999999124124123123123123123124124124123123123123122122123123123123123123123122122122122122122122122122121122121121121121121120120120119119118118118118117117116116116115115114113113112111110110109108108107107106106106106107107107107108109109110110111111112112113113113113114114114114114114114114114114113113113113112112111111110110109109109108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128132128124123124121119120120121122120115111999999999107123119121120121999999999999999999999999999999999999999999999999999999999999999999999999999999 96112 96 98120101119120121119117116115112110108107105103100 96 94 92 89 87 86 88 91 93 96100104105105106107108109110111112113115115115115115115115114114113112111110109109109108107106104 99 98100999999999999999999999999999999999999999999999999999999999999999999999999999999124124124124124124124124125125125125125124124123123123123123123123123123123123122122122122121121121121121121121120120120120120119119119118118118117117117116116116115115115114113113112112111110110109109108108108107107108108108108108109110110111111111112112113113113113113113113114114114114114114113113113113113112112111111110110109109109108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120119999999999999999999999999999999999999999999999999999999999999999113115116128130127123119116115113111112114114115115114117120106107108122120121120120122125999999999999999999999999999999999999999999999999999999999999999999999999 96121 97999999999999999999123121119116113108105105104101 98 95 93 91 89 87 87 90 92 92 95100103104105106108109112112113115115115115115115114113114112112111111111111110109108106104103101100109999999999999999999999999999999999999999999999999999999999999999999999999999999999124124125125124124125125126127127126126125124123123123123123123123123123123123122122122121121121120120120120120120119119119119119118118118117117117117117116116116115115115114114113113112112111111110110110109109108109109109109109109110110111111111112112112113113113113113113113113113113113113113113113113113113112112111111110110109109108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108107107107107108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136999999999133132132131130128128127127127124123124122120120121121120120120121121999999999999118118116115116118119120999999999999999999999115119118117117117999999999114114115126127124120117114112109107108107106107108109111116119121121121120117117118122122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103121115111109100101 99 96 94 92 92 90 89 89 90 92 93 92 95 99104108109110111113114114114115114114114113113112112112111110110110110110110108106104102108107108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124124124125126128127130128129128127126125124124124124124123123123123123123122122121121121120120119119119119119119119118118118118118117117117117116116116116115115115115114114113113113112112112112111111110110110110110110110110110111111111112112112112113113113113113113113113113113113113113113113113113113112112111111110110109109108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107107107107107107107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140139138138136135134133133134134135136134131131129128126124122121120120121120121121119119120117999999999999116116115115114115115117119118120120118117115114115114114115115116999117114114114114123119115112111108106106106106104104105105105107113113112112112113113115117117116111111110109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102110 96 94 92 92 90 90 90 89 89 89 90 91 91 94 94 94 97101106108111112113113114113114114114114114112113112112111109109107106108109108106103102109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123124124125125127128129129129131133130128127125124124124124124124124123123123122122122121121120120119119119118118118118118118118117117117117117117116116116116116115115115115114114114113113113113113113112112112111111111111111111111111111111112112112112112113113113113113113113113113113113113113112112112112112112111111110110109109108108108107107107107107108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107107107107107107107107107107107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140139139140140139139138138137136136135136138139141139137136134131128126124124124123122121121121120120119117117117117116115115116115114115115117118118117117116114114111111111112112114115115116115115114114116114111108108107106107106105103100100102105103108102100100104107111111111112111111109108999999999999999999999999999999999999 97 96 97 97 96999999999999999100 84 82 91 96 95 94 95 99 99 91 81 87 77 73 77 84 85 87 88 89 91 94 95 96 96 97100103106109111113113113113114114114114114115113112110109107106106105106108107104102100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123124123124125126126126127125132131128999999125124124124124124124123123123123122122121121120120119119119118118118118118118117117117117117117117117116116116116116115115115115115114114114113113113113113112112111111111111111111111110111111111111111112112112112112112112112112113112112112112112112112112112112112112111111110110109109108108108107107107107107107107108108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107107107107107107107107107107106107107107107106107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141141140140141141140140141139139139139139138138139141141140139138137135131128129127125125125125125124122121120119119119118117116117117116116117117118119119117116115114113112112112112111113112113114113112112111112110107106106106106105106103101 97 94 98106106 93 93 92 90108999999999999999999999999999999999999999999999999999999106105102 96 91 94101 96102 96 94 92 88 88 86 87 89 90 91 94 95 96 92 80 83 82102 77 76 78 85 89 90 90 94 96 98 98 99100103106108110111112112112112112113113113112111109108106105104105105106106107106102 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121122123121123124125126126126129132999999999999999999120120120125126126123123123123122122121121120120119119118118118118117117117117117117117117117117117116116116116116116115115115115114114114114113113113113112112111111110110110110110110110110111111111111111112112112112112112112112112112112112112112112112112112112111111111110110109109108108108107107107107107107107107107107107107108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107107107106106106106106106106106106106106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139140140140141142142142142143142141140141141141141140141141140140140140138135134133133132131129129131131133132132130127126125123122120120119118118120120121122123121119119117116115115114113114115114112111111111112112110109107106107107107107106104 99 96 93 93 97 95 94 96 96 92 94108999999999999999999999999103 99 99100102999999999103100101101 99 92100101101 98 97 95 91 88 89 93101 96 96 91 92 92 97100 99 97 96 95 95 86 89 90 93 90 93 95 99100 99 99103106107109111110111110109109110108107107106105104103102102103104105105105106104102107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121123123122124124124124123124999999999999999999999999124117119124125124125124123122122121121120120119119118118118117117117117117117117117117117117117117116116116116116116115115115115115114114114113113113112112111111110110110110110110110110110110110110110111111111112112112112112112112112112112112112112112112112112111111111110110109109108108108107107107107107107107107107107107107107107108108108108108108108108108108108108108108108108108108108108108108107107107107107107107106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138139139141141141142144144143142142142142142141142143144143140140140139138137135135134133133133134134135135135135134133132131128126125124124123122123124125127128125125125124122120118118117118118116114113113112112113111111110110111112112109108107102 98 98 99 99 99 98 99 99 98 98 99 99 99100999102100 99 99 93 93 95 96100 95 91 90 96 99103101102102106105 88 90 93 91 97 82 94102 98 94 93 95101101101 85 89 94 96 95 94 94 97 97 96 97100102103100 97 99104107109111112112110109106104102101 98 97 97 97 99100101101101102102104103102102105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119118122122124125126125123123123999999999999999999120122122122123124125125124124123122122121121121120120119119118118117117117117117117117117117117117117117117116116116116116116115115115115115114114114113113113112112111110110109109109110110110110110110109109110110111111111111112112112112112112112112112112112112112111111111111111110110109109108108108107107107107107107107107107107107107107107107107108108108108108108108108108108108108108108108108108108108108108107107107107107106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137137138139140139140140142142142143143143142141142143144144144143143141140137137137136136135134134136136136136136135134134134132131130128127129129128128129131132133133134133130127124123124123122121120117115114113112113112113112113114115115114112111108104104107107106104102100 99100 99100100100100 99 99 98 99100 96 93 94 96 97 99 97 96 96 99104104107109110105103102102105105106 84 87 88 92 84 97 99100102104105105104103104105105106105105102 98 94 95 99104109110112111107102 96 93 93 93 93 92 92 92 94 97 99100 98 98 98 99101104104103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120113111115121123124125124124123124999999999122119118119118120123123125125125125124123121122121120120121120119117118118118117117117117117116116116116116116117117117116116116116116116116115115115115115114114114113113112111111110109109109109109109110109109109109109109110110111111111111111111111111111111111111111111111111111111111111111110110109109109108108107107107107107107107107107107107107107107107107108108108108108108108108108108108108108108108108108108108108108108107107107107106106106106106105105105105105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138137137139139140139139139139141142143143144144143143144145146146146146145143142139139138139138138138138138138137136136136136134134134134133132131131132132132133135135136137137136135132130129129129126125124122121118117114115115114114114116116116116115113111110111113114113111108104100100100103103103102 97 99 99 96 96 95 94 95 96 98 99 99 98101104104107107107104104 93 98 99 97 99 96 94 97100100101103104106108110109108107106107106106106104100 96 91 91 93 98103106107106104 97 93 89 89 91 92 92 91 90 92 95100102100 98 98100104105108103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122119117115114123125126124122123122122999123118119120120121121122124125126126126125124124123122122121121122120117118117116117118117117117117117116116116116116116116116116116116116116115115115115115114114114114113113112112111110110109108108109109109109109109109109109109110110111111111111111111111111111111111111111111111111111111111111110110110109109108108108107107107107107107106106106106106107107107107107107107107108108108108108108108108108108108108107107107107107107107107107106106106106105105105105105105105105105105105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139138138138138139140140140140140140141142144144143144144144145147147148147147146144143142140139139139139139139139139138136136136135135134134134133133132132132132134135135136137137138138137137136133134133131129128126127126123121120118119118116118119118117116115114114114116116116114111108105104103104105105105102 99 98 95 97 98 99 98 99102101103105105106100 90 98106107110110110106106103103106108108106107107108110111112111110108106105105105103100 95 91 88 88 90 94 97 99 99 97 94 86 85 87 89 91 92 92 91 91 94 98102104103103105108111102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122120123117116121121121124122121123120118120120119121122119121122121124126125125126127126125124123123122121121120118118117117117117117116116117117117117117117116116116116116116116116115115115115115114114114114113113112112111111110109109108108108108108108108108108108109109110110110111111111111111111111111111111111111111111111111111111110110110109109109108108107107107107106106106106106106106106106106107107107107107107107107107107107107107107107107107107107107107107107107106106106106106105105105105105105104104104104104104105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141140139139139140140140140140140140140141142142143143144143144144145146148149150149148146145144143142141141140140140141140140140139137136136135135135134133133133133133133134135134135135136138138139140137138137136134133133131130130128122122122120119119119121119119119119118116115117118118119118116114111109109110108106105105105106104103100 97103106105104103105107106107109111113117119117112110111111113114114112112110109110109110109108106104103103103 99 96 93 87 84 85 86 87 87 89 90 85 82 81 85 88 88 88 88 88 88 88 93100104106107108109112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124121122121121120120120117120117116117117118120120120121122122121122124125126127127127127126126124123122121122121119120118117117116116117117117118118119119117117117117116116116116116115115115115114114114114113113113112112111111110109109108108108108108108108108108108108108109109110110111111111111111111111111110110110110110110110110110110110110110109109109108108107107107107106106106106106106106106106106106106106107107107107107107107107107107107107107107107107106106106106106106106106105105105105104104104104104104104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141141140139138138139140139140140140141140141142143144144145145145145145146148150151151150149147145144143142142142140140141141141141140140139139137137136135135135135134134133133135134134134134135137139139140139139138138137135134132131129128126125124122120121121122122120120120118118118118118119119120120119117116117116112109108109108109109106104107111112110107107109110111111112114117121123121117116117118118116115113111110109108108107106105103102102102100 96 95 91 89 86 84 84 83 82 81 79 78 79 82 84 86 84 84 85 87 89 91 96100103106109111101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121122121121121119119119119118118115115116118118119119120119119119119121123124124125125125126125126124124123122123123124122120119119119119119118118118118119119118118117117116116116116115115115115114114114114113113113112112111111110110109108108107107107107107107107108108108108109109110110110110110110110111110110110110110110110110110110110110110110110109109108108108107107107106106106106106106106106106106106106106106106106107107107107107107107106106106106106106106106106106106106105105105105105104104104104104104103103104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141139138138138137137138139139140141141142142143144144146145147147147148148148149150151151151151149148148147145144144143142142141141142141140139140140139138138137136136136136135135135135135135135135135136138140139139138141139138135134135133131130129129126124122123123124123122121120119120121120118120120122122121121121121120117115115113111111111108108112114114113112112113115117119120121122123123122121121121120118116115114112110109109108107105104102102102101 99 97 96 93 91 89 88 84 82 80 79 80 79 79 80 82 85 86 86 88 92 95 98101104105100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120123123121119115118117119119118117118119118120121120120119120119119120121122124125123125125126125127126126126124124124124123120119118118119119118118118118119119119118118118120116116116115115115114114114113113113113112112111111110110109109108107107107107107107107107107107108108109109109110110110110110110110110110110109109109109110110110110110110110109109109108108108107107107107106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106105105105105105104104104104104103103103103103103103103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142139138137137138139140140140141144144144146146147148148148148149149150150151151152152152152152152151150149148147146145144144143142142142141141141140139138138137137137136136136136136136136136137136136136136137138138140140140141138137137137137137135134134129127125124125126125124123122122122123122121121121122124124124124123122122122120118116113113115115117118118118118117118121122123123123124124124123123122122122122121119118116115112110109107105104102102101101102 99 99 96 94 93 89 86 83 82 81 80 78 78 78 81 83 84 88 92 94 99103107110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124125124123117120122123122121120119120121122123123122121121121120120122122122123125123124124125125125125125125124124123123122120120119119118118118118118119120120120119119119117116117117116115114114114113113113113112112112111111110110110109109108108108107107107107107108108108108108109109109110110110110110110109109109109109109109109109109109109109109109109108108108108107107107106106106106106106106105105106106106106106106106106106106106106106106106105105105105105105105105105105104104104104104103103103103103103103103103103103104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144139136136138139141141142144144146147146147148148149149149150151151151151152153153152152151151152151150149149147146146145145144143143142142141140141140138137137137137136136136136136137137137137137137137138137137137138139141139139140138138138139137136133130128126126127127127129127125125124123122123123123125125126126126125125126125123122119118118118119119121121121121122123124124124124124125124125125124124125125124124123122122119114110107105105104102102102102101101100 96 95 93 91 89 87 87 87 86 84 82 82 82 83 85 86 90 96102 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129130121120127125124125126123121121120121121120121122122121121121120121123123122123124124124125125124124123124124123123122121120120119120119118119119118119120120121121120118117115117117115114114114113113113113112112112112111111111110110110109109108108108108108108108108108108108108109109109109109109109109109109109109109108109109109109109109109109109109108108108108107107107106106106106106106106105105105105105105105105105106106106105105105105105105105105105105104104104104104104104104103103103103103103103103103103104104104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141139136136139142143143144145146148148148149149149150150151152152152151151152153152152151151152151150149149148147146146146145144143144143143142142141140139138137136136136136136137137137136137138137138138138138138139139139140140140140140140139138137135133132129129130131130129130130129128126126125125124125126126126126126126126126125124124124121120120121121122122122123123124125126125125125126125124125124124124124124123123123121119115112108106105103102102103102102104101 98 95 93 92 89 88 86 85 85 86 86 86 85999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126132132131129125130129129124124123120120118120121123122122122122122122122122121122122122123123122122123122122123123122121122121121121121119120120120119120121120120120118118118117116114113114112113113114114112112112112111111111111111110110110109109109109109109108108108108108108108108109109109109109109109109108108108108108108108108109109109109109108108108108108107107107107106106106106106106105105105105105105105105105105105105105105105105105104104104104104104104104104103103103103103103103102102102102103103103104104104104104104104105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142140139139139142143146147146147147147147148149149149150152152153152152151150150150151150150149151150149149148147147146146145144144143142142142140141141141140139137136136136136136136136137137136137137138138138139139140140140140141141142141141140139137136135134133132132133133133132132132131129127127127126126126125125126127127127127127126125125125124122123123123123123123124126126125125124124124124123123123123123122122121121120120119116112107105103102102102102103103102100 99 96 95 94 89 86 94 93 93 91 91 91 91999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135132131128999999999999122128127120118116122124124123121122123122121121120121121121122123123122122122121121123122122121121121122121122122122122121120120120121121120118118117115113111113113112111112113113113113114112111111111111111111111110110110110110109109109109109109108108108108108108108108108108108108108108108108108108108108108108108108108108108108108107107107107106106106106106106105105105105105105105105105105105105105105104104104104104104104103103103103103103103103102102102102102102102102102102103103104104104105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136136140140139138139142144145146146147148148148147147147148148149150151152153153152151150150149150149150151150149148147146146146146144144143142142141140140139139140140139138138136136135135136136137137137137136137137138138138139139140140140141141141140142140138136135135135135134135134133132133133133133131129128128127127126126126127127127128127127128128127126125124123124124124124124125125125124124123122122121121120121121121120119119118117116114112110107105104103103103102102104102101101101 99 91 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131999999999999999999999122119120122122123123123123123123121121121120120120120121122121120121121121122121122121122122122122122121120121120120120121120120116117117115113112111111110113113112113112111111113112111111111111111111111111111111111110110110109109109109109108108108108108108108108108107107107107107107107107108108108108108108108108108107107107107107106106106106106106105105105105105105105105105105105104104104104104104104103103103103103103102102102102102102102102101101101101101101102102103103104105105105105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141140139140139138139141143146146147147149148148149148148148148148148149149153152152152151149148147148147147147148148147146145144143144144142142141141141139138137137138137138139138137137136136136136135136137136136136137137138137138138139139139139140139141140141140138136134134134134134134133133133133134133132131131130130130129129127127128128128127127128129130129129129128126126126126126126126126125125124123123122121121121121121121120120119117115114113111111109107105105104104103104104105105104101 96 88 88 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121117120118123123123123123123123122121121120120120121120121120120121121121121120121120121121120121121121120119119119120117118117115116114113113112111111110110110111112110110110110111112112113113114111111111111111111110110110110109109109109109108108108108108108108107107107107107107107107107107107107107108108107107107107107107107106106106106106106105105105105105105105105105105105104104104104104104104104103103103103103103103103102102102102102102101101101102102102102103103104104105105105105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140138138137138138139141143145146146147147148148148148148149148148148148148150151150150149149147146145145145144145146146145144142141140141140140141139138137137136134136136136136136136135136135135136136135135136136136135136136137137137137139138137138140140140139138138137136136135134134134135134134134134133133133133133132132132131131130130130131131130130131131131129129130130129128129129128127127126125125124123122122121120121120120119119118117116115114114112112110108107105104104104106107107105102 99 97 96 96 96 98999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121118118117119122121121121120123123122120120120120119121119119119119120119120120120119119120120119121123121121120118118118116117116114113112112112112111112111111111110110110110111111112112112112112113114114111111111111110110110110110109109109109109108108108108108108107107107107107107107107107107107107107107107107107107107107106106106106106106106105105105105105105104104104104104104104104104104104104104104103103103103103103103103102102102102102102101101101102102102102103103104104105105105105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136135137135135135136138142145144145148149148149150149150149148148148148149150149150150149149149148146144144143143143142142142142140139139138138138138138136135135135135134135135135135135135135136135136136136136136136136137137136137137137138138139139139138139140140140139139138136138138135136135136134135134134134134134133133133132132132131131131131131131131131131131129128128128128129129128128127126125125124124123122122121120120120120119118116116115115114114114113112110108108106106106107107106107106102 99 99 99 98 97100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123121111114123119117121122121122123123122122121121120120120121120120119118118117117118118118119119118121120120119119119118118118115115114113112112112112112112112111111112110110110110111112111112112112112113113112110109110112111110110110110109109109109109109108108108108108107107107107107107106106107107107107107107107107107107106106106106106106106105105105105105105104104104104104104104104104104104104104104104104103103103103103103103103102102102102102102101101101102102102103103104104104105105105105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136137136136135135138140142143143147148149150150150151151151150150150150152152152152152151151151149146143141142143143143142140140140140139138137137137138136135134134135134133135134135134135135135135135136136136136136136136136136136137137137138138138138137138138139140140139139138138137137137136137136135135135134134134134133133132131131132132131131131131131131131130129128128127126126127128128127126125125124124123123122121121120119119118117116115114113113114113113111109108108109109108107108107107105104102101101 99100102101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119119119118123124120122124125125122124124122122121121120122121119119119118116114113113114114117118119119120119119118118117118117115115113112112112113113113113112112112112111111111110111110112112111112112112112111112111110111110110110110110110110109109109109109109108108108108107107107107107106106106106106106106106106106106106106106106106106105105105105105105105105104104104104104104104104104104104104104104104104104103103103103103103103103102102102102102101101101101102102103103103104104104105105105105105106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135136135134135137135135134136139140141143144147149150150150151151152152152151152152151153151152151151150150148145141139139139139140141140139139138138139137136137137135134134134134133133133132134134134134135134134135135135135136136135135135136136137137138138138137137137137137138138137137136136136135135136136136136135135134135134134133133132132131131131131131132132131131131131129128127127126126127127127126125124124124124123123122121120119118117117116114113112112112112111109108107107107109110110109108107107103103101101103104106107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125121122122121118120120122124125125125123123123122121120121121119119119118118116113112110111112114115114117118119119119119115114114115113112112112112112112111111111112112110111111111111111112112112112112112111112111111111111111110110111111111112110110109109109109109108108108108107107107107106106106106106106106106106106106106106106106105105105105105105105105105105104104104103103103103104104104104104104104104104103103103103103103103103103102102102102102101101101101101102102103104104104104104105105105105105106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134134133133131131132134134133135138142145148149150150152152153152152152152152153152151150151150149149148147146144141139138138137137137139138138139139137137136135135134134134132131132132132132133133133133133133134134134134134134134134134134135136136136136137137137137136136136135135136135135135135133133133134134135135135135135135135135134133133132131131131131132131132131131131131130128127127127127127127127126125125126125125125124123122120120118118117115114112111110110109108108107107108108110111110109107106105105102101102104109113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120116114118118118119121123124124123123123121122121120120119119119119118117115115113111110112112114113117119118119118115115114115113112113112112112112111110111111110110110111112112112112113113112113112112111112112112111111110110110111111110111111110109109109109109108108108108107107107107106106106106106106106106106106106106106105105105105105105105105105104104104104104104103103103103103104104104104104104104103103103103103103103103103103102102102102102101101101101101102102103103103104104104104104105105105106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131133130127127127129133136137138138142147149150151150152152152153152153152152152153152151149148147146145142142140139136134133131130133134136137138138138138138136135135134135133131129129130130131132133133132132133133133133134134134134134134135135135136136136137136136136135135135134134134133134133133132132132132133133134134134134134134133133133132131131131131130131131131131130129129129128127127127127128128128128128128127127127126125125123122121120117116113112110109109109109109108108109110110109109108106105103103102101101102104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123117115118118117118121123123123123123124123121121120119119117118119118117117116115115115113112114114116117119116119115115115114113114114113113113112111110111111110110110112113112112113112112113113112113112111111111112112111111109111111111111110110110111110109108108108108107107107107106106106106106106106106106106106105105105105105105105105104104104104104104104104103103103103103103103103103103103103103103103103103103103103103103103103102102102102101101101101101101101102102103103103103103104104104105105106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130129130130126122123123126132137138141143145147148148150151152153153152152153152153152152152152151150149146143142140139138138131128131123125125127129131137137137137137136137134135134133131128128128129130131131131131132132132132132132133133133133133134135135135136135135135134134134133133133133132131131131132131131131130130131131132132132132132131131131131131131131131130130130130129129128128127128127127127127127128128128127128128127127127126125124123123122119117113113111110110110110109109109109110109107107106104103101101101101101102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123117118120119119119122123123123124123123121122121121121121119118117117117118117117116115116117117117118119117117117116116114113114114115115114113113112111110110111110111112111113112113112113111113112113113112111111112112111111111111110110109109109110110109109111108108108107107107106106106106106106106106106106105105105105105105105104104104104104104104104104103103103103103103103103103103103103103103103103103103103103103103103103103103102102102102101101101101100101101101102102102103103103103104104105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128130129127122122124129131134137139142144145146147149150150151153153153153152153152151152151151151150149148145145144143142139136130131126121115119123129132136137136136135135135135134134132131129128127128129129130131131132132132131132131131132133133132132133134134134134134134133133132132131131132132131130130130130130130129129129129130130129128129129129129130130131130130129130130130129128128128127127127128127127127127126126126126126127127127127126125125123123121119117115112112111109109109109109108108107106105105102100 99100104105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118116120120119120120122122123122123124123123122123122122121119117118119119118117117119118118120120120120118117117115116115113113114114115115115115113113112111112112111110110111112112112112112111112113113113112112112112111111111111111110110110110109109109108109109109107110107107107106106106106106106106106105105105105105105105104104104104104104104103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103102102102102101101101100100100101101101101102102102103103103104104105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128126127124121120123127130133136139142144146147148148149150151150151152152152152151152152150149149149149149147147147146145142139134125128124123123122125131135136136136135134133134133133133132131131128126127128129128129131132132132132132131130131131132131130131131132132132133132132131130130130130130130131130130130129128128128128127128128128128128128128128128129130130129129128129129129129129129128127126126126127126126125124125125125125126126126126125125125124123121119118116114113111110108108107107107107106105103101100 98 99104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117114121119119119121122123124120121125124123124124122122120119118119118119117117118117117116118119120118117116116114114114114115115115116115115115114113113113113112112111111112112112112110112112112112112112112112112112111111111111110109109110109110109109108109108108107109108107107106106106106106106106105105105105105105105104104104104104103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103102102102101101101101100100100100100101101101102102102102103104104105105105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127126126126122120124126130132134136138138141145146148149149149149150150150150151151152151152152151151149149150150149148149150149147145139132129123124124125128133135136136136135134134133133132132134133132130125125124127126128129130130131130131130131130130130129129129130130130130130130130130129129128128128128130130129128127126126126126126126127127128127128128128128128129129129128128128128128128129129128127126125126126125125124124124124124125126126126126125125125124122121120118117116115113111110109109107106105105104101100 98 99101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120118120122123124124124125125125124123122122120120119119118118116117117116117119118118118118118116115114115115114115115116115115115115114114114113113112113111112112112111110110111112112112112112111111111111110110110110110108110110110110109109109109109108108107104106106106106106105105105105105105105105105104104104104104104103103103103103103103103102102102102102102103103103103103103103103103103103103103103103103103103103102102102102101101101100100100100100100100100101101101101102102103103104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125124125125123122124128130132134137140140140143145146147148148149149149149150150150150151151152151151151150149150150150150149150149148147143138130114133122121125129135136136135134132132132128127127130131130125124122122123124123125126127128130130130131130130130129129128128128128129128128128128128127127127128128128129128128127125126125125125125125126126127127128128128128128128128127127127127127128128129128126125125125125125125124123123123124124125126126126126125124123122122120118117116115114114112110110109108106105103100 99 99101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121117120123124124125125127126125125123122121120122121120118117116116117117117118118117118118118114114114114114114114114113113113114114114114114114113112112112112110111110110111111110111111111111111111111111111110111110110109109108109110109108108108109106108105104106107107107108108108105105105105105104104104104104104103103103103103103103103102102102102102102102102102102102103103103103103103103103103103103103103103102102102102102101101101100100100100100100100100100100100101101101101102102103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119120123124122124126130131134136138140140141143145146147147148147148148149150149150150151152152152153152152151150149149149148149147147146144139133143137129113121129135135134131128129130130126123122125127127124122120119119118119121124124124127127128128128128128128127127127127128127127127126126126126125126126127127127127126126125124123123123124124125126126126127127127127128128127127126126126127127128127126124123123124124125124124123123123123124125125125126125125124124123122121120118116116114113113112111111110107104102102102103104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122115119122124126125125125125125125124122122121121121120120120118118118119118118117117117117113114113113113113112111111112111111112112112113113113113112111111110110110109109110110110110110110110111110110110111111111110109109109109109108108108108108106107107105107107105105107108107107107107104104104104104104104103103103103103103103102102102102102102102102102102102102102102102102102102102102102102103103102102102102102102102102101101101100100100100 99 99 99 99 99 99100100100100100100101101102102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120120119120122124126128130132132135137138139141142142144146147148148148148149149149149150149149150150150150152152151150149148149149148147145145142134137134134119133121127133131130131128127125125122119119123126125124120117116113113113114116120122123126127127127128127126126125125125126126126126124124124124124124125126125127126125124123123123122123123124124125125125126126126126126126127127127126126126126126125124123122122123123124124123123122123123123124124125125125124124124122122121120119118117116115113113112111110107105103103104105109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122119123124125125125125126125124124123122122121121121120120120119119118117117117117117117117114113113113112111110110110111110110111111112112112112111111111110109109109109109109109109110109109109109109110111111110110110110110108108108107107107106106106106104104105106106106106106106107106105102104104104103103103103103103103102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102101101101101100100100100 99 99 99 99 99 99 99 99 99 99 99 99 99100100101101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122120121121120122125129131132133134136138138139142144143145146147147147148148148148148148149149149149149149149149150150149148148148147147145145144143139136127132121121124126133131130128128125122121119113118123124124124120118116112110108108113117122123125125126126126126125124125124123124124123123123123123123123123124124124124124123123122122122122122122122123123123124124124124124125125125125126127127125126125124124123122121121122123122122122122123123123124124124125125124124124124122121120120119117117115114114113113111108106103103104108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123116119123125125124126126125124123122122121120120119119118117117116117117117117117117116116112112112112112111111111111111111109110110110111111112112111111110110110109110110110109109109110109109109110109109110110109110109109109109108108107105106106106105105105104104103106106106104104104103104104103103103103103103103102102102102102102102102101101101101101101101101101101102102102102102102102102102102102102101101101101101101101100100100100 99 99 99 99 99 98 98 98 98 98 98 98 98 98 99 99 99100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125122123123123125128130131132134135136138139140140142144145146147147147147147148148148149149149149149149148148149148148149148147146145145145144144143143141138129121122125125128130127126125125123120116112113115116115115117118119120117116120117105112120123123125125125124124123121123123124123121122122123123122122123123123124124124123124123123123122122122122122122122123124124124124124124124125125125125126125126125124124123122122121121122122122122122123124124125125124125123124125124124124122121121121120118117116115114113112110106103103105110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123120121120121999999999999999123114115118123124125126126126125124123122121120120120120120119118117115117117117116116116116112112111111111111111111111111112113112110110110110111112111111111111110110110110110110109108109109109109109109108109109110109109109109108108107107106105105105104103103104102102102106106105105101102104103103103102105104102102102102102102102101101101101101101101101101101101101101101101101101101101101101101101101101101101101101100100100100100100 99 99 99 99 99 99 99 99 98 98 98 98 99 99 99 99 99 99 99100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124126126127129130131131132132133134135136137138140141142143145145145146147147147148148148148149149148148148148148147147146147147146145144143143144144144143141140137130124121124121119120120119118118114111108108124106102114 97 94 96102106109109112105100106115119121122123120118116118118121122122121121120121122123122122123123123123123123123123124124125124124123123122123123123124124124124124124124125125125125125125126125125124123122122121121121122122122122123123124124124124124124124125125124125123122122121121120120119117114113111109106103103105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124123123122123124123122999999999115118121124122123125125126126126124124124122121120121121120119119119117118116116116112113115113112112112112111110110110111111112113112111111111111112112111111111111111110110109109109109108108109109108108109108108108108108107107107107107106105106105105105105103104103103106104105104104105106105104101102102103104104104103102102102101101101101101101101101101101101101101101101101101101101101101101101101101101101100100100100100100100 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99100100 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121122124128129132134134135134134135134136138139140141142142143144144144144146147147148148148149149149149148148147147146146146146145146145143142143144143143144142140139135134130128128125122120119115115112108107106101104126123104114114114113103109105 98103117117101110114116116115113112118119120121120120120120121121121122122122122123122122122123123124124125125124124123124124123123124124124124124124124125125125125125124125125125124123122121121121120121121122122122123124123124124124124123124125125124124123123121120121120118117113111111109104102101108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124124125125126125126124118109113117120124125125124124125126127126125124123122121121122122121120119119117119116116114114114112112111111110110110110110111111111112112111111112112112112112111112111111111111110110109109107108108108108107107107107108108107108107107106106106106106105104104105104103102102102105105105105105103102103102101102102101101103103103102102102101101101101101101101101101101101101101101101101101101101101101101101101100100100100100 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99100 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123124125126127131132135137137139140141141140140141141142143144143143143143143143145146146147147147147148148148148147147146145144144144144144143142142142142144144143142141140137136133131129128123121121117114111105102 98 91114107106109113113113113112112111109111121117111 97106111111110110108115117118119118118117119119121122122121121123122122121122123124125124125125125125125125124124124124124124125125125125125124124124124124124124125125123122122121120120120121121122122123123123123122122122122122124125125125124123123122121121118117114113110107103101100108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124124125126127127126126126124122122123124127126125124124125126126126124124123122122121121121121119118118120118116116113113113112111110110110110109109110111111111111112112112112112112111112112112112111111110110109110109108108107107107107108107108108108107107107108107106106106105105104104103103103103105105105104104104101103102102102101101100101103102102101102102102101102101100100100100100100101101101101101101101101101101101101101100100100100 99 99 99 99 99 98 98 98 98 98 98 98 99 99 99 99 99 99 99 99 99 99100100100100 99 99 99 99100 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125125126128130131132133136137138139141142143143142142143142143145146145144143143143145145145146146146145146146146146146146146145144143142141141141141141141142142143142142142142141140139136134130129123120121116113110107104115115110107107112112112112112111111110110110111113111107 96105105106105105109110115115115115116117119120121122121121121121122121122123124124124124125125124125125125124124124124124124124125125124124123123123123123124125124124123122121121121120120120121122123123122122122121121121122124125124124124123123122120120118117114112109108104100 98999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124125126126126126126126127126126126124126126126126125125127126126126124124123122122121121120119118119121119116115115115115112110110110111110109109109110110111111111112112112113113112113113113113112111110110110109108109108108107107106108107107107106107107106106106106107105105104104104103103102101105105105105104104104102102101101100100100103103102101101101101101101101101102 98100100100100100100100101101101101101101101101101101100100100 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 99 99 99 99100100100100100100100100100100 99100 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118122126126128129131132132133135136138140141141143144144144144144145146147146145145145146147147146146146145145146146146146145145144144143142141140140140140138139141142143141140140141141140140138137132130126122120117116116113107 98112107106111111112112112112112111111111111106111107101 98101105109109108104109114114114114115114116118120120119120121121121122122122123122124124125124125125125124125124124124124124124125124124123123122123123123124123123123122121122121121121121121121122123123122122121120120120122123124124125124124123121120119117115113111108107104 99 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123125125126126125126127127127126124124127127127127127127127127127125124123123122122121120119119117118116112114113112112112111109109109109108109109109109110111110110111111111112111112112113112112112112111112110109108107107107107106106106106106106106107107106105105105105104105104103102103104105105105104105105105104104102101102101101103103103102102102102102102102102101102 99 99 99100100100100100100100100100100100101100100100100100100 99 99 99 98 98 98 98 97 97 97 97 97 97 97 98 98 98 98 98 98 99 99 99100100100100100 99 99 99100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118117115116116118124124125126126126128132135137138140140141142143143145145146147147147147147147147147147147147147146146146146146146146146145144142141140140140140139137137138138138139139139137138139138135135133131129123122119118116112108106101106103111111112112112113113112112112113113113113105103102109106107101105110114113114114115117115116118117117118120121121121121120122122121123124123124124124124124123124123124123124124124123123123122122122123123122122122121121120120121121121121120121122122122122121120121122123123123124124125124123121120118116113111109107105102100100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123122124126126127126126127127127127126125125125126127128128128127128127126125124123122121120120118117116112111111112111111113114110109109108108108109108109109109109110110110110111111112112112112112113112112111111110109108108108107107106105105105105104105106105105104104104104104103104101105105105104104105105105105105104103103103103103103103103103102102102101101101101101 97101101 98 98100101 99 99 99100100100100100100100100100100 99 99 99 99 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 99 99100100100 99 99 99 99 99100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113112112110110111109114114115116115118124126129131133135137138140141143145144145146147148147147146147147147148147148147146146146147147147147146145143142141141141141142138138136136135134131131131131133132133133131130126124124123121115112112110105100 96111111112112113114113104111112114109114115115108106104101103 95 96109113115116116116116114114115114114117119119120119119121121120120122122123124124124123123123123124124123123123124123122122121121121121122121121120120119119119120120120121120121121121121121121120121122122123123123123123124123122120117115112111110109106102100108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123121124125126126126128128127126127127126126127126127128128128128128128126125124123122121120119116115113111111111111110111112108108108108107107107108108108108108109110110110110111111111112113113113113111111110110110109108108108108107106105105104105105104103106104103102103104104104105104104104105105105105105105105104103103103103103103102102102102101101101100100100100100 96100100 96 97 97100 98100100100 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 97 97 97 97 97 96 96 96 96 96 96 97 97 97 97 97 98 98 99 99100100 99 99 99 99 99 99100100101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113111109107106106106107105103105106107112115116119121126131133136137140142143143144145146145146145146146147147148148147147147148148147147147146145144143143143142142141139138136136132129126126128126131129130129128125124123124124123119116110108106102 98 98 98103107 95 96 98100103108107110116116116116116115116 97104101110113115115114114116115112113114115117118119120119120120120120121122121122123124124124124124123124124124122122122121122122121121120119119119119119119118119119119119120120120120120120120121121121121122121122123124124124125124122121118116114112110109106103100108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123121123124125126127128128126126128127127126128129128129128128126128128127125123122120119118116114113113112111111110108108111109110107108107107107108108107108109109109109109110110111111111112112112112111110109109108109109109108108107106105106105106104104104104105104103104104104104105104104104104104104104104104104104103102102102101101101101101100100 99 99 99 99 99 99 98 96 99 99 99 96 96 97 97 98 98 99100101 99 99 99 99 99 99 99 98 98 98 98 97 97 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 97 97 98 98 99100100 99 99 99 99 99 99100100101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112116111111108105105102102103101104104108111113115117116113113116122126129129132137138140142142144144144144144143146146147146146146146148148148147145147146144144145144144139137138138137134132129127123125123126126125126125123122123124123122119116108105107107105106107108108109111113116115119122119115112112110 99 96 98 99105107111114115114113114114114115112114116117118120121121121121120120120121121122123124124124123124124124124124123123123122122121121121121120118118118118118119118119119119119120120120120120121121122122122122123124124124123124124124123121119118116113111108105102101108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121123126124124126128128127128129127127128129128128128127127127128126125121120120119118116114113112112112112110109108108110999999999108107108107107107107108108108108109109109109109110110110109110110109108107107107107108108106107107107106104104104105104102104103103103103106106105106101104104103103104104104104104104103102102101101102101101101101100 99 98 98 98 98 98 98 94 99 98 98 95 96 97 97 96 97 97 99 99 99 98 98 98 98 98 98 98 98 97 97 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 97 98 98 99100100 99 99 99 98 99 99100101101102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109110112111112112111106105104104108107108103105112114999116116114111110110114119116121126129130135139139140143144144144144144145144144144144145146144145146146144142144142141140135132131133133128128129124122124122125125127127128127128127126124120118113107107110114114113114116116117119120121122125125123121122124122116115114112111110114113115112112113113114114113118116120119120121122122122120120120121121121122124123124123123124124124125124123124124123123122122121121119118117117118118118118118119119120121121120120121121121121122123124124124123123123123123122120120119117113111108104103102105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123122123124124126127127127129131129130130129129129129129128127126124122120121120120118115113111110111111111111109109109109110999999107108109107107106106107108108108108108109109108108109109108107107106106106106106106106106106106106106105105105102104103102102102103102102102101102100100100104103101104103104104103103103102102103103102102102101101101 99 99 98 98 97 98 98 95 98 99 99 99100100100 97 96 96 98 99 99 99100 99 98 98 97 97 97 97 97 97 96 96 96 96 96 96 95 96 96 96 96 95 96 96 96 96 96 96 97 98 98 99 99 99 98 98 98 98 99 99100101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115111108105106107110112112112111107107110109999110105107114999999999999999120120108106106107114128127129131135136137139142143142143144143142141144146142144141140143143142140141139136135130126124123123122121121117117122125126127126125126128127126125123120117113110110112114116116117116118120122121122123125125126126126126125125123123119118117116114114114113113112113113114116117120118119121122123123121121121121121121123123123123124124124123123124125125124124123123122121121120120119119119119119120120120119120121122122122121122122121120121122123124124123122122122123122120118117115112110109105103103104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122123125125125125126128130128129129129129129127127126125123122121121119119119118115114113111112112112111109109108108107106999999107108108108107107107107107108107108107108108108108107107107107106106106106106106105106106106104104104103104103103102101101102101101101101101100100100101102102102104103103102103103102101103103103102101100102101101100100 99 98 98 98 94 94 99 99 99 99 99 99100 96 96 97 97 98 98 98 98 97 97 98 97 97 97 97 96 96 96 96 96 96 96 95 95 95 95 95 95 95 95 95 96 96 96 96 97 97 98 98 98 98 98 98 98 98 98 99 99100100101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120119115109104102104106109110111112112111999999999109110110112999999999999999999115112109107107107108114122126128131131131137140141138139141143142142140139136137139136137139138137135133132128123120117119118116116116118119122124125127128128128128127127126123119115115114113114117116117118116118121123124123123123125126127127127127127125126123122124123122118118116114113112113115115117118118119121121120121121120121122122123123125123123123124123123123123123125125125124123122121121121121121120120120121121122121121121122122123123123124124124123123123125124124123123121122122121119117116114112111109106102103104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123125126123124125127128128128127126126126125124124122122122121119119119118116115115115112112112114114110109108107107108108999999999107108108107107107107106106107107107107107107107107106106106106106106105105105105105104103103102102103102102102102100 99100100100 99101100100 99 99102103103103103103102102102102102104103103102101100102101102101101100 99 98 98 98 97 97 98 98 98 99 99 99 94 95 95 95 96 97 97 95 96 98 97 97 96 96 96 96 96 96 96 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 96 96 97 97 98 97 97 97 97 97 98 98 98 99 99100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122120126121114107106109110110114113113113112113112112111111112999112999999999999999114114112110112111109117124124122129127132137139139136134136139139140137135134136136135133132132131130129128123123118118118118115114115117121126125127128129130130130129129127124120116116115114117120121123124124124126126123122122122124127128127126128128124124126125125124120118117116114113114114115116117116118120121121120121121120121123123124123123123123122123123123123123123123124124123123123123122122122122122121121122122122122122122122121122124124124123124124125125125125125125123123122122121119117116115113110108106102103106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123123122122125126127126125123123123123123122122122122122121120120118117114115115113113112114114113109111108107106108107109106999999106108108108108107106107106107107108107106106106106105105105105104104104104104104103102102101100101102100100 99 99 99 99100 99 98 99102102101102102102102103102101102101102103102103104104103102102103101102100100100 99 98 99 98 97 97 97 98 97 97 97 98 98 95 95 95 95 96 96 95 96 97 97 97 95 96 96 96 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 96 96 96 97 97 97 97 97 97 97 98 98 98 99 99100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123121129126120113116117118116117117115115116112110111109111112110114117999999999106107111112111111113112111114116119122126132133135135133132132137138139136134132133133131130129128126126123122121120121120120119119119118118120122124125127128129130130129129127124121117115114117121124125124125126126128127125124123124126128128126124125123123122122121122124120121118116114114114115118118118119119120120121121122122122123124125124124123123123123123124124124124124123123123123123123124124123123123123122123123123122122121121123122122123123123123122122122124123124125125124123122121120119117115114113111109108103103104108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120122123122124125126126125123122122122122121121120120121119120120118116115115115113113113113112109109107108107105105106106107107106106106108107107107106106105105999108108107107107107107106106105105104104103103103102102102102102101101101101 98 98 97 98 99 98 98102102101101101102101102102103103103103102102102102102102102102102101101100101100100 99 99 98 98 97 97 98 97 97 97 96 96 97 98 98 94 94 95 95 95 95 95 95 97 97 95 95 96 95 94 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 96 96 96 96 96 96 97 97 97 97 98 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112126127127130131116116114121118113110106104107109109111113112112107107107108112113112113113112115119123126130127126127131131129126127132135133132130130129128127126125124124122118117117118119120121121123121120121123125124125127127130130129128124122121119117116119123124127125125127128128126126127126128129128126125123123121121121121120121121121120119116116115115115116117117118119120121122121122123123124125124125125123123124124124125125126125125124123123123123124124124124124123123122123122122122121121122122123122122122123123122122122123122123123124124124123122120118117114112111110110108104102103106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121121123123121124125125125124122123123123123122121118118119119119118117115114112112113113112113112109108105106104105104106106106106106106104105106106106107107105105105106107106107107108107106106106105104103103103102102102102102102102102100100 97 96 97 97 98 99 98102102102102102102102102102102102101102102103103102102101102102102102101101101100 99 99 98 98 98 98 98 98 98 98 97 98 97 98 97 99 93 93 93 94 94 94 95 96 96 95 95 95 95 95 94 94 94 95 95 95 95 95 95 95 95 96 96 96 95 95 95 95 95 95 96 96 96 96 96 97 97 97 97 97 97 98 98 98 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111999999999999999999999999999112105104105106108108108109107108107107105107110111111112115116118120122121120120122124127128125124124126129130127126125124125121119119119116115115117120122125128129131128125123124124125125126125129129128126123121121119118117118122125129130130131131127127128129129129127125125124122121120120120120119120120121120119117117117115114115117117118121121121122122124123123125125125125125125125125125126126125127125125125124124124124125124124124123123123123123122122122121122122121122122122123123122122123123124123123122123124123122121119117116114112110110110108104103102103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123124125999999999999999999113116121122123120120123125125124123121123121120121121121119117118117117116115115114113113114113111112113110108106105105105106106106106107106106106106106105105106107106105106107106107107106108108107107106105105104103103103103102102102101100100 99101100 96 97 97 97101101101101101102101103103103103102103103102102102102102102102102102102102101100100100 99 99 99 98 98 99 98 98 99 99 99 99 99 99 99 98 98 98 93 93 94 94 94 96 94 93 94 95 95 93 94 94 94 95 95 95 95 95 95 96 96 96 96 96 96 95 95 95 95 95 96 96 96 96 97 97 97 97 97 97 97 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109108105103103106108109109107111110106104106108109108108107110112115119120120119120119117119120118117119122123124122118122124116115119116116117117119123129134135134134134131128127127126125126127128128126124122121122121119120120124127127128132132131131130130130131128125124124123122121120119119119119119119121121119118118118117117116117117118121122122123123125124124126126126126126125125125126126127126126126126125125125125125125124124123123123123124124123122122122122122122122122123122123123123122124123123123122123123122122120118118115114112111110110107106106104104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122123122123122122122119119118118117115117119119118121121122123121122123123122122120121120119117116116117117117115113111112113113112112111109107107106106105104105106106106106107106106107107107107107106106106105106106105105104105106106106105105104103103103102102102102101101104103103102101102102102101101100 98101101101101102102102102102103103103103102102103101103101101100100100100100 99 99 98 98 98 99 99 99 99 99 99 99 98 99 98 98 97 97 97 96 93 94 95 95 94 95 95 95 96 95 96 96 94 94 95 95 95 96 95 96 96 96 96 96 96 96 96 96 95 95 96 96 96 96 96 97 97 97 97 97 97 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115114111107105105106106106112111106106107106106107107105104102104104112117117117115113110112108110111110113118118118119118118120120117118116118121122123128134137137135134134136132133126127127127127127127127125124123122121122123125128129129129129129130130132132129128128125124123122122121120120120120120120120121120119119118118118118118118118121122123124124126125125125127124126125125125125125125125126127126125125126126125125126125125125124124124124124124123123123123122122122123123123123123123124123124124124124124124123122122121119118115113111109106105104104105106105108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121123122123123121120120122119118120119118119120118119121122121121121123124123123120119123122121117117116117115115113111110112112111111111110108106105106106106106106106107107106106107106107107106107107108107106106106106105104105105104105105105104103103102103102101102101101100104104102102102102102101100101100 99101100101101102102102102102103102102101101101101100100 99 96100 99 99 99 99 99 99 98 97 98 98 99 98 99 99 99 99 99 98 98 97 95 96 97 98 98 94 94 95 95 95 94 95 95 96 97 95 95 94 94 94 95 96 96 96 96 96 96 97 96 96 96 96 95 95 96 96 96 96 97 97 97 97 97 97 97 97 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124116112110110999999999116112106105105104105106107108106999114106108110111111112111999999105108111112111116115114116117117116116116117117119123125128134139142143142144999999999999132127127128129127128128128126124123123125126127130131131130129129129131128128126126125124124123122122122121121120121121121120120120120120119119119119118119121122123124125126125125125125125124125124124124124124124125125126125126126126126125126126125125125124125125125124124124123123123123123123123123123123123123124124125122124124123122121120120121120118115112109107105103102104106105106108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121122122122122123122120120119120120118118117117116117120120121122120121120121123123122122122121119117117117115114113114111109107108108107109108109109104104105105104105105104105105106105106106106106106106107107107107106107107106105105105104104104103102102102103103104104101102101100101100102102102101 99100100100100101101102101101102101102102101101100100 99100100 99100100 98 98 99 97 98 96 97101101101101102 95 96 97 99 99 98100101100 97 96 95 96 96 98 98 98 94 95 94 94 95 96 96 95 95 96 96 95 95 94 95 95 95 97 98 98 97 97 97 96 96 96 95 96 96 96 96 96 97 97 97 97 98 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130122119999999999999117115112108107107107109108106109109999999999999999999999999999999999999113113111112114114115114120123124124125122120123130133136139142145144143144999999999999999128126127129128130130131130127126127127128129131132132131129128128128126126126125125125125125123122122122122122121121121119119120120120119119119119120122123124124125126126125124124123124125125123123122123124124124124124125125125125125125125125125125125125125125125124123123123123122123122123123123123123123124124125124124123122121121119118118118119116113112110108104103105106105106107108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123122124123123122123123122121121119118118117117117117116117118120122123122121121121122122121121120119118118119117116113114112109107107106107107106107107106105104104104103104105104104105105104105105104104104105105106106105105105107107105106105105105105104103102103103103103102102102101100102102102101 98 98 98 97100100100101101100 99 99 99100100100 99 99 98 99 99 98 99 97 99 98 98 97 99 97100 96 96 96 96102101102102102102 98 99100 99 99 99 97 98 97 96 96 97 97 97 95 95 94 93 96 95 95 96 97 96 96 95 95 94 94 95 96 97 96 97 96 96 96 96 96 96 95 95 96 96 96 96 97 97 97 97 98 98 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134127129135113999112112119117112109109112113113111111107110112999999999999999999999999999999999999999112113115114116118124128129131132123121127133137139142145146145144144144134999999999999126128127129130132132132131130129129129129131133133132130129128127127126126125125125125125123123124123123122121121121120120120120120120120119120122123124124125125125125124124123122123123123122122122123123124124123123124124124124124124124124124124125125125124124124123123123122122122122122122122122123124124125124124122123122122121120119116117116115113112111109107107107107106106106110112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122123123123123122122122124123122120119120119118118117119117118116118119120120121122120122121124121120121118118118118117116115113111109109107107107105106106107107106105104104103105104103104105103104104104104104104105105105106106104104106105106106105105105105103103103104103103103103102102102103103101102102101101100101100101 99 99102101102100 99 99100 99 99 98 99 98 98 98100 97 97 98 99 98 98 96 94 94 93 94 96 99 99 99102102102102 99 97 98100 99 99 96 97 97 98 98 97 98 97 98 98 94 95 95 96 96 96 95 94 95 96 95 95 95 95 95 96 95 96 96 94 99 96 96 95 95 96 96 96 96 97 97 97 97 98 98 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135141141113999999999999999111110112116118118118118114109999999999999999999999999999999999999999999999999116114117114122126130133137129128134137139142145147145143143143144142143999999126126127128130131132132128133133132132132130131133134133132130129128127127128127128127126125124124124123123123122122122122121121120120120121121121122122124124123123124124124124123123123122123123123123123123123124123123123124124123124124123124124124125124125125125124124124123123123123123123122122122123122123124123123122123122122122122120118117116116114113113112111109108107108109109111113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121122123123122122123122122122121119120120119119118118118118119119117118119118119121121121120120120120118116117116116114113112111109109109106105105104105106106106108104104103103104103104105105104104105105105106106106106106106106106105105105105105105104103103104102102102102103103102103103104102102104103102102101 99102102103103102100 97 98 98 98 99100102102 96 96 97 98 98 96 97 97 98 98 95 94 93 93 92 90 95 97 98 99 99101102102102101101101100102101 99 99 97100100101101100100100 95 95 95 95 95 95 95 94 94 94 95 95 94 94 95 95 95 96 95 98 98 95 96 95 95 96 96 96 96 97 97 97 97 98 98 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115116116114113999999999999113108107112121122124125999999116999999999999999999999999999999999999999999999999118116118116118125129133137139139139141142146148146145144144145144142142999999127127128129125125133127128128134133133133133133133134134133132130130130129130129129128127126125125124124123124124123123123123122121121121121121122121123123123122122123123122122122122124122122123122123123122122122123123123123123123123123123123123123124125124124124125125124123123123123123123123123122122123123122123123124123122122122121121120119118118118117116114113111109108108109108109112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121122123125126122122121120120121120120120120120119119120124120120120120119119120120121120119116117117115114114114114114112110109107109108108106105104104103105105105104105105105104105105105105105106106105106106106106106107106106106105106105104105105105104105104104103103102105105105104105103103103102103102103103101101102102102102101 98 97 98 98 98 99101102101100 99 99 98 99100100 96 95 98 93 97 97 95 95 96 97 98 98100101100101101100102102102102101101101101101101101 99 99100 99 98 99 94 94 95 95 94 94 95 96 96 95 95 97 97 95 94 94 95 98 98 98 95 96 97 95 96 96 96 96 97 97 97 97 98 98 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116114112115121126128999999119119999999999999999999999999999999999999999999999999999120121120122126128132135137142143144146146144146144144144143139140135133999127125126129125126127127129129129134135134135135134134134134133132132130131131131130129128127126125125124124124124123123123122125122122122122122122122123123123123123123123122123122122123123123123123123123122123122123123123123124123123123123122121122123124124124124125124124124124124124123122122123122122123122122123123123121122122121121121121121120119119118117116115113112111110109110109106110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121124124126126123122120120119121120119119119119119119120124124121122120120120119118120117114115116116113113112112110111110109108107106106106106105105104104104104104103105105104104104105102103102103105105106106107106106108107107107106105105106106106106105105104103103104104104104104105105106103103104102103103102103104100102101100 99 97 97 99 98 97 99100101101 99 99 97 97 98 99 96 96 97 95 97 98 97 97 95 95 94 98 95 99 99100100101101102102103102101102102101100100100100 97 96 99 99 98 94 95 94 93 92 95 96 96 95 94 95 96 96 96 92 95 94 94 94 94 93 93 96 96 96 96 96 96 97 97 97 97 98 98 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116118120121123125126125999999999119119999999999999999999999999999999999999999999999999999999999124124125126127131134140143143141147145145145146146145143141137135999999999124119127129129128126129130129133135135135136136136135135134134134134133133131131130129128127126125124125125124124124124123123122123123123123124124124124123124123123123124123123122123123123122123123122122122122123124123124124125124123123122121121121122123123124124124125124124123124123122123123122123123123123123124124123123122121120120121121120120119118117116114113112112111111109108104110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122124124126127126125124122122121121120119119118119120120123124122120119117117117116118113112113115114112112111110110109109108108107106106105105105105104104104104103104104105105104105104102101102103105104106106106107106108108107106106105104107106106105106105104103103103103102102104104103104102103102100100100101100100102102100 99 99100 99100 99 98 98100101100100 99 96 98 98 98 97 96 95 95 96 97 96 97 95 95 95 97 97 97 97 97100100101100101101100101101102101 98 99 99 98 98 98 99 98 98 93 97 96 96 96 95 98 97 97 97 94 94 95 96 97 95 96 95 93 94 94 95 95 96 97 97 99 96 96 97 97 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118117117116116116116999999999999119119999999999999999999999999999999999999999999999999999999999999999999123126128130136145151151149146147147146146147150151147137999999999999128125126125126127126128129128129129130130131131135135135134133133133133133132131130128128128127126125125125124124124124123123123123123123123124124124124124124123123123124124123124124124123123123124123124123123123124125124124124124124123122121120122122122122123123124124123123123123123121122123122122123123122123122121122122121121120120121121120120119119118117115114113112112112110109108104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124124126127126124124125121123122119117118117117118118121121118117116113113112113114114111111110111112108108108108109109108107106106106105105105105105104105105103105105105105103103102102103104102104103105105106106106108108107106106106105107107106106105103103103101102102102102103104103102101100100100100 99102103102102102101100100 99100100 99 99 99101100 99 99 97 97 97 98 97 97 96 96 96 96 96 96 97 98 98 96 96 95 96 96 98 98 98100101 99 99101101102102103101101 99 99 97 99 97 97 96 95 90 90 93 93 93 93 93 94 96 96 93 96 96 97 97 96 97 96 97 95 95 95 96 97 97 96 97 96 96 97 97 97 97 97 97 97 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137142141148153152151150146152153999999153152149999999999999999999125118122124126124128127128129130130130131131135134134134133132133132131131130130128128127127127127126125125124124124123123123123123122123123123124124124124123123122124123123124123123124124123124124124124123123123123123124124124124124123122121121121121122123124124123122122122122122121122123123122123123122121122121121120120121120121121121120119119118117117115114114114113114112110106105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124125126127127125124124122121122120117115115115115116117114115115114113113113112112112111112112111111112111110109109108109108108107107106105104104104105104105105104105104104104105102102103102104103104104104106106106107108108108108108107106105107107106105103103103100100100101102102102102101101100 99103 99103102102102101102101100100100 99 99100100100101100100 99 96 96 97 95 95 97 97 96 96 96 97 96 98 98 98 98 98 97 97 98100 99 99 98 97 98101102102101100101100 98 99 97 96100 96 96 96 94 92 89 93 93 92 92 92 93 94 95 95 95 95 96 97 97 97 98 95 96 97 97 97 98 97 95 97 97 98 96 97 97 97 97 97 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148151153152154155157999999999999999999999999999999999999999123117120122119124126126127127128129130130130135133133132133133131131131130130129128128128128127127127126125125125124123123123124124123123123122124124124124124124124124124124122123123123123124124124123123123122122122123123123123123123123123122122122122123123123122122121121121121121122121122122122122120120119119121120119119121120121121120120120119119118117117117116115115114113110108105108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125126127127126125123122122122120118117116115115116118116115114114114114112113113113114113111110110111110111110109109110108109108108107105105105105104104105105106104104104103104104104104103105103103103103106107107107107107108107108107107106107107107104103102101100100100100100 99100100101101 99103103104103103103103102102103100 99100 99100 99100100100 98 98 97 97 97 97 97 94 96 97 97 96 97 97 97 94 96 95 97 98 96 96 99101 99 98 97 97 97 97101101101101 96 97 97 97 99100 99 95 95 94 94 94 93 92 92 91 92 91 92 92 93 95 95 95 97 97 97 98 96 96 97 97 96 97 98 96 96 96 96 96 99 99 97 97 97 96 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156160152159999999999999999999999999999999999999121121120118120120121124125125126127129130134135134134134133132133131131131130130128127128128128127127127127126127127126126125125125125124124124123123123124123124124124123123123123122123123123124123123123122122122122122122122122122123123124123123122122123124123123121121121121121121120121120120121120120120119118118120118118119120120120119120119119119119118118117117117116115116115113109107107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125127123126126122123122124124120118118117116116116117114114114114113113112112113111113112112111111111111110110110108110108108108109107106105105105104104105105105104104104104104104104103104104103103103105106107106106107107106106106106105105104104105103102101100 99100100100 99 99 99100100101101100102103102102102102103102101 99 99 99 99100100100100 99100 99 98 97 97 98 99 94 97 95 97 97 96 95 95 95 97 97 97 95 95 98 98101101 97100101100100101100100100100 99 98 98 99 98 98 96 95 96 95 93 92 91 91 88 87 89 90 91 92 91 95 96 96 97 97 97 97 97 97 97 98 97 97 96 96 97 96 97 97 98 98 96 96 96 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163157152153999999999999999999999999999999999999999120120113117119120123124125128127128132132132134132133134133133132130132132129129130130130130129130130130129128129128127127126126125125125125124123123123124123124124124124125125124123123124124123123123122122122122123123122121121122122123123123122122122122122122121121121121121121121121121120121120120119119119118118118118118119119118118119119119118119118119118117116115115115114112109108108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120118120121124126999125122126122121122122124123121120118117117114116112111113113112114113113111113111114112112111110111110110110111110110108107108109108105105105104103104105105103103104104104105103104103103102103103105104106106106106106106105104105105105105105104104103102101100 99 98 98 98 99 99 99 99101101101101 99103100101102102103102100 99 99 99 99100100101101 99 99100 99 99 95 93 99 99 97 94 97 98 98 97 96 98 98 99 99 99 99 98101102101101101101100100100 99100100 99 98 97 97 97 98 98 96 95 96 96 93 92 91 91 88 86 89 89 90 90 92 93 94 96 95 97 97 98 94 98 98 97 97 97 96 96 99 99 98 98 98 97 97 99 96 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145145999999146153156152147146144999999999999999999999999999999999999114114117116117119119121126126127129131131131133132132133132132133132132130130130130131130131131130129128127125126125126126126126126126126126125124123124124124124124123124125125124124124123124123123122122122122122122122122121121122122122121122122122122121121121120120120121121121121121121121121121120119118118117118118118118118118118119119119119120119118119118118116114114114113112109108109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118112116120123123123124125127125125126123122124122123123121120118118117117117112111113112112111111111112112110112113113112110109109110110110109108108108107108107107105105103104104104103102103104104105105103103103104103104105103104105105105106106105104104104104104104104103102100101100100 97 97 97 97 98 98 99100100100101102100106103103103103103101101 99 99 99100101101100 99 98 97 97 97 95 96 94 98 96 94 95 96 97 98 98 99 99100 99 98100 98 98 99100100101101100100100 99100 99 98 97 98 96 96 97 97 96 97 96 95 95 92 92 92 93 90 90 90 92 91 91 91 95 96 95 95 96 99 99 98 98 98 98 97 98 98 98 98 98 98 96 96 98 98 97 96 98 96 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144144143149148150146141140137999999999999999999999999999999999999999117118115117117116119122124125127129131132132130130131131131132132133132132132131132133131129129128127126124124125125125125125124126125125125124125124124124125125124123124124124124125123123122122122123122122122121122121121121121121122122122122122122122122120120120120120120121121121121121121120119118118118118117118118119119119118118119118118119118117116116117117114113112112110108108109999999999999999999999999999999999999999999999999999999999999999999999121128126999120119119121124123127127128128127128126122123127126125125123122120119118117116113112112112112114112111111112111111111112112112112111111111111109108108109109107107107107105104104105104103102101101103104106107104103103103102102103104103103105106106106106105105104104104105105104103101100100 99 99 98 94 95 96 97 96 93100 99 99102103101100105105103104103103100100100101101102100 98 96 96 96 97 95 94 95 94 93 94 93 95999999999999999 95100 99 99 98 98 98 99 99100100100 99 98 98 99 99 99 98 98 96 96 96 95 95 94 96 96 96 95 94 89 90 89 89 90 92 92 92 93 94 95 94 95 95 97 97 97 96 98 99 98 98 98 97 98 98 99100 96 96 96 97 96 96 97 96 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141141140140140139139139999999999999999999999999999999999999999999111111113112115117120122124126128129130130130130130131132133133133134134133133131131130129127125128124123124124124124124124124125125125125125124124124124124125125124124125124125123125123122122122123124123123122122122121121121121122122122122122122122122121120120120120120120119120120119119118118117117116118117117117119119119119119119119118118117117116116116117115113112112111108108109109999999999999999999999999999999999999999999999999999999999999999999999999123122119120121125126127128128128126127126123123123127126123125123121120119117117116112112112112111111111112111112112111110110112111111112111110110109108110108110107106106106106105104103104105102103106105105106106104103103101102103103103104103105105105105105104105105104104104104103102101101 99 99 99100 93 95 97104103103 98 99 99101102103101106107103103103103101101101100101101 97 95 90 91 93 93 93 93 95 95 92 92 91 93 96999999999999999 94 95 98 98 97 97 96 97 97 96 98 96 97 96 99 98 98 95 94 93 94 96 97 95 95 94 96 96 93 91 93 91 90 90 90 93 92 92 92 93 94 92 97 98 95 97 97 98 98 98100 99 99 99 98 98 99 99 97 97 97 98 99 99 95 94 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138137136136136135999999999999999999999999999999999999999999999110110110110113116118120122124127127129130131131130130132133132133133135134134132130129128127127127123125124124124124124123125125124125125125124123123123123123124124124125125125125123124124123123123123124123123123122121121121121121121122122122122122122122121121121120119120120119118118117117117115115115116116117117117117118118118118119118118116116116116116116114113113112111109108109110999999999999999999999999999999999999999999999999999999999999999999999121122123119121123125125126124128127129129126124123124127127126126123121120119118118116115112111111112111111112111111111110111112112110110111110109109110110110109109108108107107106105103104104103104104105106104104103104102101102103103103104103104105105105105104104104103104104103104103102102101100100100 98 99 96 94104103102 99 98 97 99100101108109107103102102102101101102102102 98 94 93 91 91 91 92 92 92 97 97 94 92 96 96 96 94 89 88 86 87 87 94 96 97 97 96 93 94 95 95 96 91 91 95 95 95 96 94 94 96 95 97 96 93 95 93 95 97 95 94 94 93 90 90 91 91 93 93 92 94 92 93 94 98 99 99 98 98 98100 99 99 99 99 98 97 98 99 97 97 97 95 96 97 95 94 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137135134134133134999999999999999999999999999999999999999999999105108110111114116118121121123125127129131131131131131132132132131132132133133132129127128128127126125124126126125125126126126126125125125124124123123122123123124124125126126126125125125124124123123123124124124123122122121121121121121121122123123123123123122122121119119119119118117116116115116116115115115116116117115116117116118118118117116114113113114115113111111111111111110109108108999999999999999999999999999999999999999999999999999999999999999999999123122123124121122123123124124124126127127124124124124126126126125123120120118118118117114113112111111111111110110112111111113112112110110111111110110110110109109109109107107109107104104103105104103103105105103103102103103101103104103102104104104105105105104104105105104104104103104103103102101100100100100100101102 99103103105 97 98104100101108105104104104102102100101101102 99 98 94 94 95 91 92 92 92 91 93 96 96 96 97 97 97 95 93 89 87 88 87 91 94 94 94 93 92 88 88 87 89 88 91 92 94 95 94 93 93 94 94 94 95 93 92 92 94 96 94 95 94 94 91 91 92 91 91 91 95 93 90 92 92 97 97 97 97 98 99 99 99 99 99 99 99 99 99 99100100 99100 96 95 96 96 97 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136134133133133133999999999999999999999999999999999999999999999102108113116116118120122124125126128129131131131132131131131131133133133132132132128128127128128128127126127126126125126126127127127126125124124124124123124124125125125126126126126126125124123122123123123123123123122122122122122122122122122123123123123123122123122119118118117117116116115115114115115115115115116116115116117116116117117115113112111110109108107108109109110112111110109108108999999999999999999999999999999999999999999999999999999999999999999122123123125116117121122123123123125126127128128124125126126125125123121118115115114114115114113110110109110109110110111111112112110110110110110110109110110109108109109107107109107108107105105104103103105103104104103102102101101103102104104104104105105104104105104104103105104104104102102102101100 99100100 99 99 95 97 99 99 99 97 99103105107108108108102102101100100101101102100 98 94 98 96 92 93 93 91 92 91 93 95 96 97 97 96 94 94 91 88 88 88 88 87 86 87 87 87 88 88 90 90 91 91 92 93 96 92 91 92 91 90 90 91 90 90 89 89 92 90 91 92 95 92 93 94 91 91 92 94 94 90 93 94 96 96 96 94 97 99100100 97 99 99 99100100100100101 98 97 96 95 95 96100 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138135133134135133132999999999999999999999999999999999999999999113103111118119122120121123124125126127129130130131131130131132133133133132132131131131129129128128127127126126127127127126126127127126126126125124125124125125125125125125125125125126125125124123123122123122123123123123122122122122122123123124124124123123122121122121119119118118117116116115116115116115116115115115116116114117116116116116114112112111109107105104105106107109111111111110109110107999999999999999999999999999999999999999999999999999999999999999122123123124115114117117119121123124124125127128124124125126126125123121117114113113111111114109110110110109109109110111111112112111110111110110110109110110109109109110108110108107106107105105104103103102102102103102101102101101102102102101101103103105105103104104104104104103103102102102102102100100100101100101 98 97 97 98 99 99 99102103103105105106106 98101 98 98 99 98100 99 97 96 95 94 92 91 92 92 90 91 93 93 95 96 97 96 95 91 91 88 87 86 86 90 90999 89 86 88 91 90 90 91 91 90 90 90 90 90 89 87 87 85 84 85 86 83 86 85 84 84 87 94 97 96 95 94 94 93 92 93 92 92 93 96103103 98 94 99100100100 99 98100100101 99100100 98 96 94 94 96 94 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136136132134133999999999999999999999999999999999999999999113104107115120120120121122124124124125126127129130130130131131128129133133133133131131130129129129128127128127128127127126126125125126125125126125125125125125126126125125125125124125125125125125125124124124124124124124123122121121123123122124125125124123123122122121120119119118117117115115114116115115114114113113112115115114113114114114114113112113113111108106104104103103105107109111110109109110999999999999999999999999999999999999999999999999999999999999999118122121114120114116115117120121122123124124124125124125125126124121120118117114112112114112113111111111110110110111111110110110112111111111111110110111111111111110109111109110111107106105105106104104104102102103103102102102101102104102102103102102102102102102104103104104103103103102101102102101101100100100100 98 98 95 94 98 99 99100100103102102104102100100102 99 98 98 98 99 97 95 92 94 93 92 92 90 91 90 91 92 93 94 94 94 94 93 91 89 86 86 87 86 86 85 83 84 88 92 93 90 92 93 88 90 89 92 90 91 85 83 80 82 83 82 80 84 84 82 82 83 88 92 94 93 94 93 94 92 91 94 95 94 94 95 94 95 97 98 99 99100102102102101101102101 99 96 94 91 91 90 88 86 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136134135134999999999999999999999999999999999999999999113106111119120119121120121124125125125125128129130131130131127128129133133132132133131132130129129128128128128128127127127127127126126126126126126126127126126126126126125126125125125124124124125124124124124124124124123123123122123123123122122123123123123123122121121120120119118117117116115114115115114112112112110112111111110111112113113114113113114114112110108105104103102103104107110109108108109107999999999999999999999999999999999999999999999999999999999999119117117117115115117117117119121120122123123123123124125125125123120118117116114113113113113112111112111111110111111112111111110111111111111111111112111111111111110110109107108108107107106106106106105104102102102103102101102101101103102101101102101102102103104104103103103103103102102100101101101101101 99 99 98 97 97102103103101100104104105101100103102101101103106 99 97 97 98 97 94 93 93 93 92 91 91 89 90 91 92 92 93 93 92 91 92 91 89 88 86 85 84 85 85 85 86 87 92 91 90 91 92 91 91 91 90 90 87 84 81 80 81 81 81 82 80 77 76 75 75 81 85 89 90 91 92 92 97 99 92 92 91 93 93 95 96 97 98 99100 99100100101101101100100100 97 91 87 85 84 82 81 82 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139137999999999999999999999999999999999999999999112108112117116113113115119121121121123124127128130131130131131131131133132133132132133132130129128127128128127127128128129128128127127126126127127127127127127127127126126126125125125125125125124124125125124123124123122122122121122122123121122123124125124124123121120120120120120117116117117117116115114112113110109109109109109110111112112113111111113113112109108106104104103104105105107107106107107106999999999999999999999999999999999999999999999999999999113114118118118117116116115116116118121121122121120122122122124124124122119117116116116114112112113112112111111111111111111112112112112111111111111112111112112112111111111110110109108108109109106105106106106104103104103102102101101101102102102102102102101101102103103104102104104104103102103101101101101101100 99100 98 98 98103103101103 98 98100 98 99100101101101103103103 99 99 99 97 96 93 93 92 92 91 90 90 88 91 90 92 92 92 91 92 91 91 90 90 90 88 87 87 86 87 88 89 86 90 91 91 89 90 89 87 88 88 84 83 83 82 81 83 84 84 82 83 83 77 75 73 71 77 80 82 82 84 85 94 96 88 89 96 98 90 92 94 93 96 96 97 97 96 96 98 97 98 97 95 95 96 91 83 79 77 79 80 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143139140999999999999999999999999999999999999999999999111109111112110109108109114118119119121120127128129131131131130130131132132132130129130130129129128127127127127128128128128128128127127127126127127127127128127127127126126125125125124125124124125125125125124124123123122122122121121122121121121123124124123123122122121121120121121118117118119118118116116116113111109108107108108109112111111111110110111112111108107106105104103103104104105104105106106105999999999999999999999999999999999999999999999999999999115119119119117117117117117117117116121122121121121120121122121122120118116116116116115115113113113114114112112112111112112112113113113113112111112112111112113112112111111111110109109110109109108106107106105104105104103103104103101103103102102103103103103102103105107104103104104103103103102102101101100101100100 99 98100 99 96 96104105 96 98101 99 99100102101101101101100100 99 98 96 96 91 94 93 92 93 93 92 90 90 90 91 91 90 90 88 87 88 86 86 87 85 88 86 84 85 87 87 95 95 85 85 85 88 86 87 87 84 83 84 84 83 86 83 84 84 83 83 82 79 79 77 74 77 77 76 76 77 79 84 87 83 86 88 86 81 87 89 88 88 94 95 94 94 93 95 96 96 96 95 93 88 87 80 76 78 80 82 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141139999999999999999999999999999999999999999999110108107106104104105106111116119119120120126127128131132131131131132131130130129129128128128128129128127127127128128127127127127127126127127127127127127127127126124125125126125125124124124124124124123124125123124123123123121121121121121121122123124124123122122121121121121120119119118119119117115114114116113111109107106106106108112110109109108108106109109109107107107105103103103104104104104105106104999999999999999999999999999999999999999999999999999117117119118118119116116116117118118120121119120120118118120119118117117118116116116116114114114114113112112112112111111112112112112113112112113112112112112113113113111111110111111110108110109107108107107106107106104104105104104104103102102103101102103106105104102103108104104104103103104104104102100101101100102100100 99100100 97105105 98 95100101 99 99100102100100100 99100 98 98 97 95 98 96 94 93 94 93 92 94 91 92 91 92 89 87 85 85 86 86 88 87 88 86 86 84 83 84 84 88 88 95 84 92 81 82 83 86 86 85 82 84 87 81 82 85 85 83 82 81 81 79 78 78 78 79 78 77 77 74 77 77 76 80 84999 84 79 79 83 84 78 83 79 87 88 88 90 94 95 94 91 92 90 88 87999999 85 84 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148146145147146999999999999999999999999999999999999999999999110109102 99101105107111114118120123126126126128130131131131131132130129127128128128128128129128128127127127128128129129128127127127127127127127127128126126126126126125125125125125125124125125124123124123123124122123123122122122123123122122122122122121121121121120121120120118119119118117115113113114115113110110110109107106108110108107107107107106106106108109108107107103103103102103103101103101104999999999999999999999999999999999999999999999999118117118119119120119118117117117118118118119117118119116117119117116116116117115112114113113113113113113111111110110111111111111112112112112112113114114114114114113113112110110111111110109109108108108107106106105107106104104103103103103102102103102102104107106106106104103107105103103103104103103102102102101102102100103100 98100100 99100105 99 99 99100 99100100 99101101100100 99100 97 99 96 95 92 91 92 93 92 92 91 90 89 89 88 87 87 86 90 88 88 87 86 86 89 88 86 86 84 86 87 85 83 83 81 82 85 86 88 90 89 84 84 85 88 82 82 80 81 82 82 79 76 79 82 82 82 78 78 77 78 77 81 81 77 73 72 73 74 83 76 76 78 77 75 80 78 85 87 89 87 86 84 83 82 77 77 82 86 87 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154150149148148146147999999999999999999999999999999999999999999999111105 99100105106108112116120124125126126128130130130130131130129128127127127128128129129128128126126127128128128129128128129127127127127128127127127127126125125124123124124124124124123124124123123122121122123122122122122122122123122124124123122121121121121119119119119118118118116114114113112112114112110110111110108106108108105105106106106105103103104107108107106106104103102103103103104 96103999999999999999999999999999999999999999999999113116119119119120120120120118116116117117115118118116116116116116115116116116117115113113112112112113111111111110111111113112112112112112112112112113113113113111112112112112112112112110110109107108107108106106107105106106105105104103103100100103103103102104104106105105102104103100103103102102102101102102101100101102101 97 97 98100 98 96 97 95 99 98 97 97 98 99100 98100102102102100100 98 97 96 95 93 91 91 92 91 90 90 89 89 88 87 89 89 88 86 87 86 88 84 86 90 85 84 87 85 85 85 87 88 86 82 79 82 83 82 82 80 79 80 81 79 80 79 79 80 80 83 84 86 82 79 79 85 81 80 78 80 78 78 77 85 78 77 77 74 75 80 73 74 72 72 78 79 79 79 79 79 79 80 78 79 78 79 82 84 87 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148150152152151150149149999999999999999999999999999999999999999999107104105101103103104107108113118119121123125126128129129130130128127128127126126127127128128128128126126127128127128127127127128127127128128127127127127127127127126125124124124124124123123123124124123123122121122122122121122122121121121123123122121120121121121120120119118117116115115114113112112112113112109109109110112110108108106104103103102100 97 97 97 99104105104105104103100100103103103 95102999999999999999999999999999999999999999999113113116117118119119120120121119119119118118117115117117115115115116116117117117116116114114112110111111111111111111111111111112112113115113112112113113113113113113112112111112111111110110109108107108107107107106106107105105105105104102102102103103104103104102104105103102102101101100103103102102103101102102102101102101101 99 98 99100 98 97 96 96 99 98 97 96 97100100 98100100101100101 99 99 97 95 96 95 93 91 90 91 91 90 89 89 90 90 90 90 90 90 89 88 87 84 89 91 90 88 86 82 83 84 85 87 85 84 85 88 88 81 84 83 81 80 79 79 78 79 81 83 84 88 83 81 79 80 80 83 82 82 83 82 83 79 80 79 83 83 78 82 84 84 75 76 76 72 75 74 82 75 76 77 79 80 79 78 79 81 81 83 84 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153153154157156156155153153152999999999999999999999999999999999999999108105106102 99103103108108109112113114118124126126126129130129129129128127126127127126127127128128128128127128128128128128128128128128128129128127127127127126127127126127125124124124124123123123122123123123122123122122122122121121121122123122121120120119120121120119119118116116115114114113113112111112111110109110111109108106106101101100100 97 95 94 94 94 95 98 98101102103103 98103103102101101103999999999999999999999999999999999999108111114115116117117118118119120120120119118118117116115116116115115116116115116116116116115115113112111111111111112113111112112111112112116115115112113113113112112112112112109111111111110110110109108108107106105103106106106103104104104103104104101105104104104103104101102102102102102102100102104103102103102102101102101102102102 99100100 98 98 96 97 98 99 97 98 97 99 99100100100100100104101 97 98 97 95 95 95 94 94 93 92 90 89 88 88 88 89 88 88 88 89 88 88 83 85 86 90 89 88 88 85 84 84 85 88 87 86 87 83 80 83 81 82 79 78 79 80 81 82 83 84 86 88 86 85 78 79 80 81 84 84 84 83 82 77 78 79 77 75 80 81 81 82 76 77 75 73 74 75 78 80 79 91 77 79 78 77 78 78 78 80 82 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164156157159159159158157156155153152154999999999999999999999999999999999999999999 98 99100103108108108108108109113122124125126127128129129129128128127127127126127127129129129129129129128129129129128129129129128129128128127127127127127127127127126125125125125124123123122121122121121121122122122120121120120121120120120120119119120120118117118117116116115114113112112112111111110110109109108106105105102 97 97 96 95 94 94 95 94 94 93 93 93 94 93 94 95 94 96101101100101100999999999999999999999999999999110110110112113114116117118118119120120120120119118117116116115115114116116114115114116115115116114113113113111110111111112113113112112111111112113113113113113112112112112113112112112111111111109109109108108108107107107106105107107105107105104103102101104104103104105105106102103101102102102103101103105105103104103104103102102103103102100100102 97 96 93 96 97 97 96 99 97 97 99 99 99100 99103 99 99 99 98 95 99 95 95 95 94 95 94 93 90 89 89 89 90 90 91 91 91 90 88 89 87 87 92 90 90 89 88 88 87 88 92 86 88 88 87 86 83 81 80 81 79 85 88 88 88 86 86 88 92 90 85 80 81 82 83 84 84 83 84 82 82 82 82 84 77 74 73 75 82 83 74 80 76 76 77 78 78 77 77 77 82 79 75 74 74 73 82 82 80 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160160160160161158160159159159156155153999999999999999999999999999999999999999105 95 95 98103108111110109109112119123125125123125125127128129129127128127127125125127127128128129129129128129129129128129130130129128128128127127126126126127127127126126126125125125124123123121121122122121121122121121121121121121119120119119119120120119118117118117117119118114112112111110109109109107109108106105104105 98 95 93 92 93 94 95 94 92 93 93 93 92 92 92 91 89 95 98103104103102 99999999999999999999999999999112112113113114115115115116117117119119119119120118117117116115115114115114115115115115115116116116112114113114113114114111113113114114113112112112113113114113112112112112112112111109111111111110109108108109108107106108106108107107106106107106103104103103104102104104106105105101101101102101101102102101104104105105104103102103103102102102101100 99 97 93 94 95 97 96 96 97 96 97 99 99 99 99 97102 99 99 99 97 98100 97 97 97 98 97 96 95 94 94 94 92 94 95 95 95 92 91 92 91 93 95 96 93 93 93 92 91 90 89 90 91 91 90 90 87 85 83 85 83 81 82 89 90 91 90 90 90 91 86 85 84 83 82 85 88 84 82 83 83 84 85 84 88 80 76 75 74 81 86 88 87 76 78 75 76 76 76 75 77 77 83 78 74 81 80 79 75 75 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172163163165165162162161160161161163160159156151999999999999999999999999999999999999999 95 92 95101106110110108111114117119121120120121122123123125126127127127126124124125127127128129129129129128129129129129129129128128127127126127127126126126126127127126126126126125125123123122122122122122121122122121122121121120119119119119119119119118118118119117117117116115114111110108106105103103105104104104103 98 96 95 93 94 94 94 95 94 92 92 92 92 91 91 93 95 93 94 98101102101100 99 98999999999999999999999113113114115116116117118117118117117118118119119119118117116115115114114115115114114115115115116116114113112112115114115115115113114114114113114113113113113113113112111111112111109109109112109108109108108108109108108106108108107108106106107104107106105105103106103102102103103104101101100101101101102102104103104104104104103103103102102103102102 98 97 97 94 97 96 98 97 96 97 97 99 99100 99 99 99103 99 99 99100101104 97 98 98 97 98 98 97 96 98 99 97 97 96 97 95 92 92 95 95 96 99 97 96 95 95 94 92 91 92 93 91 92 93 91 90 88 86 85 83 82 84 84 86 91 90 91 91 92 93 92 91 89 84 84 86 85 84 87 88 90 92 90 89 90 90 88 81 84 86 88 90 80 80 78 80 77 76 75 76 76 76 75 75 78 85 76 76 75 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173163163163162162161160161160162163160159156150999999999999999999999999999999999999999999 87 95 98104109108106109110110113114114113116120121122123125125127126127126124125126128128128129129129129129130130129128129128128128128126127126125126126126126127128126126126126126124124123122122122122122122122122120120120120120118118119118119119119118118117116116116115115115114113110108105101104104104103105103 98 95 93 93 94 95 95 95 95 92 92 91 92 90 91 92 94 94 96100100 99 99 99 99 98 96999999999999111113113113114115116116116117118118117117118118119119118117116115115114114115115115114115115116116116116113113111112112113113114114114115114114114114113112113113113113112112112111111112112112112110111109109109108108109108107106107107108106104103103105105106102102104102102103104106105102101100100100100102104104104103103104103103102103102101101100100100100 97101 98 96 97 97 95 95 95 98 99 99100 99 98 98105100 99101105102 96 96 96 98 97101100 97 98 98 98 99 97 96 98 96 96 97 98100 99 97 97 97 95 94 94 93 94 95 94 96 96 95 95 94 93 89 88 91 88 88 87 87 90 88 92 94 94 94 94 94 94 92 87 88 90 89 91 90 93 88 88 89 92 85 84 85 86 91 93 83 82 78 78 79 76 76 79 79 79 79 93 91 89 74 73 73 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172167165162163163163163163163164164163161158152155999999999999999999999999999999999999999 97 92 97106107107106104104106105107109109110116119121121122124125126127125124124124125128127128129129129129130130129128128128128128129128128127127126127127127128128125125125125125123123124122121122123123121118118117114116117118119118118118117119119118117116116115115114114115114113112109105105104104104105105100 98 94 94 95 96 96 95 95 97 96 96 94 91 91 92 96 96 96 97 97 96 96 97 99 97 97 96 99999110109111112111113114115114115117118118118117118118117117117117114116114114114115114114114115116115116115116116116113114113113113113115115115116116116116115115115114113112112112111111111111112112112112111109108109110107109109108106106106106107105105103105103103102104102104102102102104102101101101100 99102102103104103103103103103103102102103101101101100 99100 97 97 97105 97100 98100 99 99100100100101 99 99 97105 99 98 99103100 95 93 93 96 94 98 97101101 97 98 97 97 96 96 98 99 98 98 99 98 98 98 97 97 96 95 95 91 94 95 96 97 97 97 96 94 92 90 92 92 92 88 85 89 90 93 94 95 94 94 94 97 95 90 88 89 89 88 88 88 91 89 89 91 93 96 93 93 94 95 81 82 80 81 81 81 81 85 84 84 83 95 94 93 91 74 73 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165167166165164164165166165165165166165162160156999999999999999999999999999999999999999999 94 99 97103103103102102 99 98100102103105107113117119119117122123125125123124125125125126125125126128130130130130130129129129129128129128127127127128127127127127125125124124122121121121121121121121120120118117115112110110112113116118118118118118118118117117116116114114113114114113112110110107106104104103 98 97 96 95 95 98 95 96 96 96 97 96 97 96 93 91 92 93 92 94 94 94 94 94 95 94 93 94 95101102105107107109112113113114115114116114116116117117117118117117118117116115115115115115114115116116116115116116117117116114114115114114113114114115114115115114113112113112111111111111110111111111111111111109109109109108107107108107107107106106105104105106104103105105103103103103110107104102102102101 99101 98101102101102102102103103104103103103102101101100 99 96100 97 97105101100 98 99 98 99100 98 99 98 97 97 97101 97 98 97 97 92 92 91 92 93 93 93 97 99100 96101 96 96 95 95 95 98 97 97 99 99 98 97 97 98 98 97 96 97 97 98 99 98 97 97 97 95 94 92 95 96 96 96 91 89 93 95 95 97 97 97 96 98 97 94 92 90 89 88 89 89 89 99 90 94 94 90 90 98 95 92 92 87 86 85 85 85 84 86 87 87 86 84 88 84 86 93 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164164164164166167168169169169168167165165164999999999999999999999999999999999999999999999103 91 96101102101 99100 98 97 97 97101102106111115116115117119120123123124123124124125126125124125126127128130130129129129128128128128128127127126127126126128128125123123121121120121121120121121120120118117115113112110109110112114116117117117117117117116115116115114114113112113113112109110108107107105104 97 95 96 95 94 97 97 96 95 94 95 96 97 97 94 92 91999 94 94 93 93 94 94 94 94101 94 97106105105107108108112115116115115115114115115116114116117118119119117117116116116116115115114115115115116115116116117116114116113114114114112112113114114114114114113113112112110109110111110110111111110109109109109109108108108107107107108107106106106107104103103102105105104107106106102110103102102101102102103 99100 99100102 98100102101102103104103103101102102 99 97 98104104 98 99 98 97 98 97 98 97 96 97 97 97 96 97 97 97 97 96 95 94 95 93 93 92 95 96 97 99100100101102 97 95 94 95 96 97 98 99 99 98 98 97 98 99 98 98 99100102103101100 99 98 94 95 94 94 98 98 97 95 93 96 94 94 95 98 97 98 99 99100 98 95 92 91 90 89 90 90 91 91 93 89 89102101 98 91 90 89 88 88 89 89 90 94 96 97 97 87 88 85 87 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163165164164166166167168170169169168167166169168999999999999999999999999999999999999999999999999 86 92 99100102100100 99 97 96 98100101103108112113113114116118120121121122123123126127127126126128127127127128127127128129128128127127127127127127126127127126125124122120121121120120120120120119118117116115113112112112112114114116117117117117116117116116115115113113112112112112109112110109109107101102101 96 98 98 95 97 97 97 95 94 94 95 95 98 96 93 90 90 91 91 87 94 96 96999999999 97100106110109110109111112112113114114115115114114115114116116116118117116116116116116115115115114115115115115115117116116116113114113114114112111111112114114114114113113113112112111111110111111111112112111110109110109109108109108108107108107106105105106107105105104107104104106107106106106104104102102101101102103103104 98 98100102101101101102102103104103102104102 97 98105105105 99 98100 99 99 99100100100105 98 98 98 99 98 99 98 98 99 99 98 97 97 95 96 97 98 97101101101 97 96100100 97 97 97 99 99100 99 99 98 99100102100101102102101104102101 98 97 95 96 97 95 99 99 98100 97 97 95 97 99 99100101101100101 99 97 97 95 93 92 92 91 92 94 91101 91 93 93 93 94 95 95 93 93 94 94 95 97 97 96 95 95 94 93 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163165164165166167167168168168169169168168169169999999999999999999999999999999999999999999999999 98 93 94 98102102102 99 96 97 99 99 99100104108109110112114116118118119120122124126127126126127128129129128128128128129130129129128128128127127128129129128128124123121121122121120120119121119119119116116116115115115115114115116116116117117117117116116115114116116112111112111110108109105104103106104102 97100101 97 97 97 96 96 96 94 94 94 97 93 96 93 94 94 90 88 92999999100101999104100101111111110110110111112112113113113113114114112112113114116118117116115114115115115115115116116115115114114113114115116113113111113114114112113112113115114114114114113113112113112112112111111111112111111111111111110110110110109109108108107107106105106106106106105105106104102106106106106105105105106102102105102101100101 98 99101101101102101100103104103102100101100105106104105 99101102101100101102101100101 99 99100101100100101101103100 99100 99 98 98 98 98 99 98100101 99 99101100100101 99 97 97 98 98 99 99 99102102102100101101100106106101 98 97 96 99 99 98102101100100100 99 98 99100100100101103101100 98 99100 99 99 97 99102 99100100 93 93 97 99 98 97 97 98 99 99 99 98 98 97 98 98 96 95 95 93 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164164164165167166167169169168168169168170169165999999999999999999999999999999999999999999999999 84 89 95 98102104104103100 99 98 99100101103106109110112112115117120120121123125126127126126127128129129129129130129130130130130130129128128128129128129128128125123123121122121119119119119118118117118118119117114117115115115116116116116116117116115116115114117116112111111110109107103101 98103102100 94 94 98 99 96 96 96 93 93 94 94 93 94 91 90 92 91 92 93 92 89999999999102104105105105107110109109110109110111111112112113111111111111111112115112117116116115114115114115114115115114115115115115113114114114114113112114114113113113114114114115114115114114113113112111112113111111112111111110111110110110111110110110110107108107107107108107107105107107106105106103103104103103104104104102102101101101100101100114103105103105101103102106107102102 99101100100106106107100102102102101102102102102102100100102102101101102104104100 97100100 99100 98 97 99 99 99102103100100101 98 98102 99100101100 99101103103103102100103102101106106106106101 98 99 98 97103103102102101100100 99104101104105105102102101101101100100101102104 96 98104 94 95 99 99100 99100100100100101101100 99 99 99100 96 93 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162165166165165165166166166167168168169170170171999999999999999999999999999999999999999999999999 98 88 95 99103104102102102102101101102102102102106110110113114117120122123124125126127126126126127128129130130131130130130130130130130129128128128128128127126123122122122121121120119118118118116115116118119118116116114113115114114115115115115115114115115115115113111112110110108104100 98 97101100 99 94 98 91 92 93 91 91 93 88 86 89 90 93 91 89 87 89 89 90 92 91999999109110111111111111111110109108108109109110110110111112111111112112110110112111115116116116115115115114114114114114114114115115115116115115114115114113113112112112114113114113114114115114114113113112111112112112112111111111111111111111111110110110110109109109108107107107106106106106107105104105102106106104104105105101103101101101 98 98104104111103104104 99101100107105103 99 99105104100107107107101102103103104103103102100102102101102103103102102103101 98 99 98100100101 99 98 99100100100 99100100100100101104105101 99100100101102103102102102103101102104106106106106106101 99 99103104100103102101101103101101102102104104101100102101101101101102100106106 96 95 97100101101103101101102101102101101100100101 99101 97 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162163164164164165165165165166166167169169169170162999999999999999999999999999999999999999999999999 96 99 98102102 98101102102101102101100 97 98102105106111114116119121123122123124124125124125126128128129130131130130130129129129129127128127127127127127124122121121121121120119118117118117117116117118118116115115114114114115115114114114114114115114114114115113111112110109107103100 98 98102102100 92 90 89 90 91 90 89 88 84 85 86 90 89 85 84 83 84 88 86999999999999108112111112113113111110109108108108108109110109111112111111111112111114112113115116116116116114115114114115114114114114114115115115115115115116117114113114114115116116116116114115114114114114114112111112113113112111111111111110111111111110110110109110109110109109109108107107105105107105103104104106106104106105105105102100101102 99 99103103 99101111103103110101100104106102100105105101101102102102101103103103103103104102103103103104104105104100101 99 99 99102101101102102100102102102102101105104106104104106106101101101100 99101102101102101102102103104106106105105109104100103103101100101102103102102100102103102101105104104105101101102102103101101106106 96 98101102107103102103103102102103103105101101101101 99101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163165165164163163164164164165166167169169169170160999999999999999999999999999999999999999999999999 98 99 97100100 97 99100 99 99 99 99 98 97 98 99101103106112117119119119119120122121123124125126126129130130130129131130129130131129129129129129127127126124123121120120119119119118118117116116115117117116115114115113112116113113113113113113113114113113113113113112112110109106103102101106104106105 95 93 92 91 90 89 88 87 84 84 85 82 81 82 81999999999999999999999110112112112112112112112111110110109108109108108110108110111108108107112112109111112112113114112113114114113116115114115112114115115115115115116116114114111112115116116115114116116114114114114113113113113115111112112112112112112110110110110109109110108108109109110109109108107106105106106106105105105104103105106105104104103102100103100 98104104 99100 98103109 99 99101100106102102104105101101102104101102103102101103103103102101101102104105105100101101100101100101102103103103103104104103102102102107106106103106106102100101103107101102102103101102101102102104104105106106102104106103 99100104106103103103103102102102102105104104105102103102102102105103100107 95100102107104101102104104104104103103102104102101102103104100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163163163164165162162162163164166168170170169169161999999999999999999999999999999999999999999999999999 98 97101100 95 99 99 98 98102100100101102100101103107113118120118118119120121122123123125127129129130132131131131129129130129127128129129128127127126124122121120120119119118118116116116116116117117116115113115113113113111110110112112112112111109108107108109110112111110107104103101101107108105 99 97 95 94 93 92 92 86 83 83 81 80 81 81 81 91999999999109108108110111113113113113113113113112112112110110110111110107106109108108107107107109109109108107110107106110111110115115116113113114114114115114115117116114115116116116116116115115115114114114114114113113113113114113112113113113113112110110111110110110109109109110108110110109109109107106107106107106105105105104105103101102102102101102100101100 99100101103 99100100102104104104103101102103105102102103102102100101103101102101101101101100103104104100101100100102101103103104103104105105105104104105101105109109102103107108102102103104100107102103104102103102106102102105105105105106108105106102 98103102100104104102102102103103103102106106106106101103103105107106108107108108102102107104104104104104104103107106104102102105101107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163163166168161161163164165167169171170168167166999999999999999999999999999999999999999999999999999107 97101102 98 99 97103103103102103103104104105105108113116118116119120121121122123123126129131131131131131131130129130130130129127128127127127126125123121121121120119119118117116116117117116116116116116115115113113112111111110112112110108107106105104104104105108109110109106105103103102102101100100 99 97 98 97 96 91 82 83 82 79 80 84 88 98999113110110109108109110112113114114114113112113112111112111110110110110111111108108106107105104106105107108108107106107106107109111112114113114114114114113115116116116114115114115116115115115115116115114114114114114114113113113115115114113112111111110110110110110110110109110110109109109109109108107107106106105104106105103106105101103102101101102101102102 99100104104100102101102102103107107106106105102107100100 99100102101100102103102102101101100103103103101102101103102103104103104104104105105105105105104105105110109103104105104103103103104108109101102103102102103103101103106106107107109109100102101 99102102105104103103103102102104103103101102107107107102102104107107108108108107106105105105104106105105103105104105103102104107106105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159161163163163161161162165165168169170170169166161999999999999999999999999999999999999999999999999999999103103104101102103103103103105108110109109110107108113116118118122122122123124125127129131134133131132131130129129132133130130126128128127127128128125123123120119119117117116116116117117116116116116115117115113113112112113111112109108109110106106104102102104106108111109109108106105104104105104105101105103 98 90 92 80 81 82 80 78 78 89 97104105108108107108109110112113110113113113112113112112112110111112111111113112113110108107106107109111110110110109109109110109109111113117113112113114113115116115116117116116115114117117116115115115116115115115114115114113114113115115113112112112112112112112111110110110110110110109109109109108108108107107106106107104106106105106103103103103104102104105102104103101101101101101102104103102108107103102105106106106100105102103101102104101102102103103103104104105103102102102103101102103104103104104105105105104104105105108104106104104102103104105103104103102103103102102102102101102109109109109105105104101100104104103103102104104106103104104104103102103108109108103101104107107105105105104104105106104105105106104104104107104104105105105103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157158160163162162160161161165166168168169169167166166999999999999999999999999999999999999999999999999999999999115109100103102103102102103106107107105106107107110116118120119120123125126127130130133134128128132130129128128133129127126124128126125125121121123123119119118117117117117118118118118118118118116116116114112112111110112111111109109109111104101105101 99101105107109108108107103100 98 98 98102101100100 91 89 92 93 83 82 82 81 80 79 82 95101105105110111110112111112112111111110111110110112111110109109109108109110112112111108109107109108109108109109109109110108110111110111109113112113115114115116115115116117118116115115116115116115115116116116115115115115114115113114116115115113114114114113112111111111110110110110110110110109108108108108108108108107106108105103106106108105104105102102102102102103102103102103102104103101100102101103103102103108108104105102101100101102103103103103104104104104104104104103105105104104102104104104105105106106104105105106108103106105105103103104104104104104102101103101101101102102102104105109110104103102100 99100101101104105104101103105104104104104104109108109103102102108106106104103103105104105106107105105105106106106105106106106105105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157160163159162159159160163165165168168170168167168999999999999999999999999999999999999999999999999999999999121117105102104103100100102105105105106103104107110116117123120124125126129131131131133132132128133132130129129129127126125123126125124121120120123122120120118118118118118118119119118119118117116115115114113113111111110110109109109110109107104102100100102105107108107108104 97 97 94 90 88 90 88 87 83 83 82 80999 81 77 80 80 83 83 84 92 97102105108110112113112113113112112112110111110112110109108109109109113113113111110107106108108106104104106104104104105106108111109110113113112115115115116117116116115116117117117115115116115116116115115116116116115114115115114114115115115115114113114112113112112110110110110110110110110109109109109108108108107107108108107105106106103106105104103103104103106105104102101103104105104102101103103103103103105103102103102 98100101 99103103103103102102104104104104105104105104105105104104104105105105104105105105105105105110109102100104104104105104104104103104104102101102102103103103110109105106105104102102103103104104105106110100107105105105104102101104103108108108107109107105104105105104104106107105105106107104105106104104105105105105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159161161162160158158159160163165166169170171168169999999999999999999999999999999999999999999999999999999999999119105104107106103 98103103106107110112112110114113117123126128129129130132132132132132133132131131130130130129127126126127124124126119121124123121120120118119119119119119118119119119118117115114112112111111110109109108108109110110110109108106105104105106107106108108102100 97 95 93 90 88 87 83 83 80 79 81 80 80 75 73 73 76 81 84 87 92 96101103106108108110110111111112113113114113112111109108109111111112112113110107109108107105105104102103101100102103104106108107108115114115114115115116116116115116116116117116114115115114114115115114115116117116114115115114114113112115115116115112112113111113110111110110110111109109109108109109108107108107107107108107105105106105106106107102103104103106105102101103104104105104104105104104103102102102102104104102100101101100104103104102103103105104105105105105105104103106107105103103103105105105106105104103105104101103103104103101104104104105104104103104104104104103103104111109105104105109110109109102105103103104107106104101101102104103104105104104104106106106108103103104104103105105104104107105105106107107106107109108106105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159161160159160161159159162164165167163169170169160999999999999999999999999999999999999999999999999999999999999122109103106100101 99100 94 99101102104105106108111109116124127124129130129131132133129130129131131127128128128127127126127124126125124120123122122121120118118119119120119121121120120120118115114115113113111110108108108109109108109109110109109107107108108106107108104 98 95 93 91 85 82 83 84 84 87 84 82 79 77 74 68 71999 74 73 79 84 86 88 90 95 99101102106108107110109108109112113113112112111111113111112112111108106108105105103104103 99 99 99100101102104104107108109113114114114113114114115116115115115115116115115114114113114114114114115115115115116114115114113113113114114115115113111114112112112111111111109109110109108108108109108109109109108107108107108107106108106107106107108103103103104104104103102103103104103107107107104104104103104104103102102103104103104106103104102103105105105105105104104104106106106105103103103105105105106105101105104104101102103106105104103103104105105103104104105105104103103104106107106106106106109110108 99103104103102106105103102102 99106106104104104107108107105105104101104104106106107106106107107107108108109108108106108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159158161160162160161161161164166168168169169167999999999999999999999999999999999999999999999999999999999999999107107109105103101 98 98 94 96 97102104106104106106110115123125120125128124132127133127131131132131129129129128128127126125129128126127124124123122121121120120120120122118118119121119118116117116115114112111110108108108108107107107108109108110110110110110112111108106100 97 93 92 91 88 86 87 89 88 82 74 71 69 67 73999 72 72 70 77 80 79 80 82 88 94 97100103106107108110108108111112113112110111111111114111110108106107106104104103105104101100100101102103103105103106108108113113113113113113113115115115114114115112113112113114114116116115116115115116115115114115114115113114116115114115114114114113111111111111111110109111112108109109109109110111111109108107107107109108108108107106106108104104104104105105105103104102102105105105105104104104103103104101102102102101102106102103105104105106105105105105103105105106105105105103104103104104104103102105105104109104103105105104104110103104105105105105106105105107106105106106105105105105105108109103103100101106110102104103103105105104107105105107107109109109108110108110110110111107109109107108107107108109108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159157157156157162161163162163163162165167168170169999999999999999999999999999999999999999999999999999999999999999999111114105103103102 96 96101 96103101105102107109110113117120126128128130132132133127129131132132130129128126126126127125130129127127126125125124124123123123123124123117119119121118117115114115115114113112110108107107105105104103106108108109110111111111111110109106104101 98 95 94 91 88 90 86 83 72 71 67 65 67 79999 72 76 73 76 80 81 84 86 87 89 92 98101101102105106109111110113112110112108110111114111107106107108107105104103106104105102 97 98102103104107104108109111108109110112114114113114113113113114114113114114115115115115116116115115115115115115115114115115116116117115116115115113113113112112112111111112111111111110110110111111109109111110108108110109110109108107107107108105104104104104104106107106105105104103103103104107106103103102103102104103105103106105106105105105106105105106106105106105105106106106105103103103103103103106106105105103101105105104106105106111102104105104103104104104105105105105104106105105106106106110108102102104103102106105111106104106107107107107109108109109110107109110110110108108111111111110111110110104107106108111111110110109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158156161164160161162161163162163164166167168169167168999999999999999999999999999999999153156158156156157157158999999999112116105105106106103 97104108110110110110112115117117119122127128129131132132132132131131132132131129129128128127127128127126125124123123125124124123124123121122122121121119118117116114113113112112113112111109109106107111109109106105105107108109109109109109108106105103 98 94 92 87 87 84 86 70 68 69 67 66 68 72 70 72 79 79 81 86 88 89 92 93 93 95 98 98100100101102104106109112112114112113114113112110109108108108107105104104104104101100 99 99101104106107108109112112110110112112113113113113111111111112112113114115116116117117116116116116116115115116116116116116116116116117115115116116114113113113112112111112112112111112111111110111111112112110109110108110109109108106108108110106106106107106107105104104105106105104104103105104103103104104105106106105105105104105105106107107106106106106106106104106106106106106107106106106106103106104105103102102101102102104105105105104103103104105107105106107107107105104105107106105106105105108108109106106103104105107109105106107105103107108106107109109109108110108109111109106108110110112110111106106106106105106108108109109110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154161162162162163162160164166167169170169170171173999999999999999999999999999153150154151153157153155156156156155999999115106109103106105101103105108112112113114108110112116117120122127129128128131131133130133131131131131130130129128128128128127128125123131128127125124123121121124116113116117116114114114114112111110110111110109109110111113112111105102104105104106106107107105104103 98 93 88 84 79 74 78 66 63 64 67 64 66999 69 74 79 79 82 81 84 88 90 93 96 98 98 99100100101101103103104104109111113115111111108106108108108109108106105105104106105104102102 99103103105107109109113113112111112112111113112111110111111113112115116116117117118118116117117116116116117116116116116116116116115114116116115115115115112113112112112112113112112112110111111111111111110109108109109110109108109108108110111106107110108107106105106105105106104103108108106109106103104104105104104104104105104105107105105107107104105106105105105106106105104104104105104101102104102105105106104103109105105105106106105104103105105107106105106107107110105105107106105107105106105106108108106105105107109110111109106108106106106106106107108108110111111107105109107106105106107108107105105107106105106107108110110109110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154156160161161162162162164167169170170171172170172164999999999999999999999999150150148147148155157155155155155154153153135112110106110107107103105106109115115115116118119122125120121123126128128129130130131131133131130131132130130130129129129128128128129128131128129126123122122120120117120118117117117117116113111110107107110109109109110111111112111110101100100101101104105103101101 99 95 94 92 86 85 78 80 72 65 60 58 58 65 68 70 75 78 81 83 82 82 85 90 93 96 98 97 97 96 97 98 98100102103104106110113110110110107109108109109109108108108107106106104102103102102105106108109109111109112111111111110110112111110110110113115114116117117116117118117118117117117117117117116116116115116116118116115115115115115115116115115112113112113112113112113112112110110111111109108109109110109108110108109108110109110107110108108109106104106107106105104109108109109105106105104105103104104104104106105104103105105104103103102106106105104105105105105105106105105105105105106105105109109109110105106106106106105106105107107106105105106107106107107107111105105106105105105104105105106105109113111109108105105105105106105106108107109109108109106111109107106104107107107107105108105107106107107111110110112111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158160161163163165166170170171172173173172171169999999999999999999999999999999148145147150153156157157154154154152152149141107105110108105106107108109113115115117121122124127122124122124128127127131129131132132131132132133132132131131129130129127128130131129130129128125125124123122122122119120119115116116113112108107108111110108109110111111111111110104 99100 98100101102103104100100 99 99 95 88 80 74 77 73 61 62 58 65 63 68 73 71 70 72 72 80 77 81 89 94 96 96 95 95 95 94 95 95 96 99101103104106111112113112112111109109110109110108107108106107108105105106106109110112112113113114113111112112112113112112111111112115115115117117116116116116117116117117116117117117117116116116117117117117117116115115115116117116113113114114114113112112113112112113110110111110112111109110109109109109109110110109108108109108106106106107106105106106106106106104104105104104104104104104105105105106107105104104104106105105107108106105106105105105105104105105106104105105105106106106104104111110105106107106105106106106107105104105106105106105106109107113121122121112105104103104105104113113109106105107104108107106107107108108109108108108107107107107107106106107104111110109109109109108110110108107113112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159160161163166167169170171172174174175174174172999999999999999999999999999999145148152148152154154154153151152152149147146143133999104105105106108109111115117118121123125125127128128128127129128132130130129129132131131132132132132131130130129131130130129129129129131131128127125124123123123123124122120118118118114111111112113111111110110111111111111110109104100101102103100103104102 99101 99 94 89 84 76 66 71 57999 61 64 61 64 67 65 68 71 75 77 78 83 93 95 95 94 94 94 94 93 92 92 93 96 98103102103106110111111111111110110109109108109109109107108108108109111109109110112113113113109109111112113112113114113115115116116116116117117117115115116115115116116115116117118118118116116118116116115116116116115115116116115115115115114114113113112113112112111112113112111111111109109108109109106109108108106106106107106105106105105106105106107106106106106108106106106106105105105105106106107107106105103103104104104106107106106105105105105105106105105104104104104104105106106104103103111111105105105107107105105106104106107106102104105105105105115116111110113106105105104105103110109108109105108107112107113109107108110112108107108109109108110109109110109107109110111112111110110111111109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159159160162163167169168172173173176176175175177179999999999999999999999999999999149151151148148151151150143145145144146143140141139122109104105106107111113116117120124125126129128127128128129130129130126129128129130130130132132132132131131131130131130129130132133133134131127127128127127128127123123122122120116117117116116116115114113113111111110109106108107105105104104104101 97 98 98100 94 99 97 93 86 67 74 66 54 54 61 59 62 63 63 64 67 76 80 74 79 91 96 95 94 94 94 93 93 93 92 92 95 97 98101102103104105107110111109108110110110108109109109109109110108109109110111111111112112113110110113111113113114114115116116116117117118116116116117117110112114115115116115116117117118117117117117116116116117116116116117116116116116115114114113113113112111111111111112112110110112109108107108108108107106107106107108107110109106107106105107107107105105106107107106106105105106106106106106106106107108106104103102103104103104105105109108106105106106104104104104102104104104105105105105104111111112105106106107108103104105106106109108108106107107106111116110104105104104104103103108110106116113109107105108115111107107109108107105109107110110110109109111114112111113111112110110110111111115113109109111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155157163166165166165171174175174175176176177180178999999999999999999999999999143151152150149143149148148143140142134141134135138141132109106105104101107112115118120124126128131127130130128128128129129126129130130129124125131131130130130131130130131131131130130131132131129128128128127126127124126124122118117116118118116119118115116115113111109105101101100 98 99 97 98 97101 99 96 96 96 97 96 93 89 88 83 74 68 60 59 62 65 63 63 67 64 62 68 77 84 83 89 94 96 94 94 94 95 96 95 93 93 93 94 97100101105106105105108109110108108109109110110110108109109110110108109109110111111113115113111113111113112112113114116116117117117118116116116117116116118117115113114115115115115115115117118117116116116117116116116117115115115116115115115113114114113112112112112112113112111112111111111111108111110110109108107107106107108110109106106107107105106106106105106107107107107107107107107108108107106106106106104104103103102102102104103103104105105105105105105104104103104104105104105105106105105111111113105105105107109109114106107109108107107108109107107107112118105106106104105101102109117117119116109107104109114109107109109107107107109110108108108108110111111111111113111112114113112112113114113113115114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157163167167171168172172176174176176176176177179177178999999999999999999999999148150150150147138141144146144142143142138137136133125124112109105107103104107112114120125127130131131129128127129130129130130129129129128127128130130130129126128129131131131131128131130130131129129128126127125124125123123121119120117115114112111112112109106105106103102100 95 97 95 95 93 92 94 95 94 93 96 96 97 94 91 88 83 75 66 64 57 59 63 68 68 68 63 62 66 72 74 91 94 97 95 96 96 94 95 95 96 94 95 96 96 97 97100101104106105105107108108109110111112112111111110111112112112112112112112112111113113113113113112114112112114115117116117117117118117116115116116117116116115115115115116116115115114115116116116116116117117115116116117116116116116115116116116115115114114114113113112113113112112112112110109111110110110108108109107108107109110109107108108107106108109106106106107108108108107107106107107106106106105105104103105105104103102103103102103103106106105104105104102103104103105105106106107105109110113112105103105105105105115115108107106107107107108105108105113117106105112104102104103118120119118111104102108112110108106110107107108107107108108108107112112113113107114115115115113115110111109111111112113111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162165163167169174178180178175173175175178178180177177175999999999999999999146146151150148144139138139142142142144141138129129125121115112107106106106104109110113118119126129130129126128126127126129127130131133130124123124128129129128126127131131132131132130131131130129129127126126126126124122121122122119113112109106105105104104104104103103103 99 97 95 91 90 83 82 82 85 86 89 87 93 91 89 90 90 88 87 76 59 55 63 65 67 67 65 68 65 64 66 70 81 89 96 95 96 97 97 96 96 97 97 95 96 97 97 99100101102103103104105107107109110109111111111110111109111111111112113113111111113112111115116117117116115114114113115116115115115118118116116116116116116117117117116116117117119118118117118117116116117117117116116116116116116115115116117116117116116116116115114114113113113113114113112112111110112111111110109110108110108108109109107109110108108108107108107107107108108107108107107104105105104105106105107105105105104105104103104103103102103103106106104105106105104105106106106106107107107110111111115114109106106108109111115114112107107115106107106115114115116108106103103102103103117118117119116109102111106106108105107109106108109107112107111108110111111111107115110111110110109113111111111111110110111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159164163167170172177179177183179177177177178177176173175175999999999999999999145145151150149146141139138140139138136140136125124119111109106105107108107104112116118122123123124129124128129128131131128129130131131129129128131132128130128129129128129130130127131131131127127126127125126126126123121118121117116115111107104105104103102 99100103101103101 98 92 84 81 79 78 77 75 75 81 88 91 90 87 88 87 88 82 65 60 62 68 70 68 71 70 67 66 66 70 79 82 97 97 95 96 97 97 97 97 97 98 96 98 99100101101101102103105106106108108111109110111110110110110109111111111112112113113114112114118118117117116116115114115114114115117118115117118117116117116116117117117117117117117118118118118118119117118117117117117117116117115115114115115116116115115117116116115115114114114114114113114113112113112113111111111111111110111110111110108108107108108109110110108109107106106108107108107108106105105108108104107107108106104104103103102103103104105105105107107107106106106107106107106103103107107107109108111111112111110108107106107105115115114107106106114114106106106107107106111110110102101106110104101103111112111105106108106109118109107107105105108109104104107107106109108110109110112111111106114109111111112111110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161161166168169169173177175181182183182182182181181176176174168169165999999999999144148146144152150146139137137141137134131128131123124118115113109106105108110112118121124126123122123126123128129131132133132131128131130130129128131130127130127130130130131130130130131132132133133128127126126126123126122117118118116113109106102100 98 98 99 99 96 97100 97 98 92 84 80 78 76 73 75 75 77 78 88 90 87 85 84 84 78 75 73 74 73 72 72 68 70 67 65 77 76 84 83 91 92 92 95 97 98102102101101100100100100101101102102103104104106111110110114111112112112113113113112113112113113114115117118119118116117116116116115115114114113112115118117116117119117117117116116117117118117117119119117117117115119120119119119119119119118118115116117115117115115115114115115115115115115114114114113114114114114114114112113112112113110110112112111112111111108109109108109109107107105108106109108108108107107107108108106107107106107107105104104102103103104104104105105105105105105106107107106107104103103106105105105104106106106107110113115110109108108109107107109108108106103105107109107106113110109103114120109109104107113112112113111117118116114107116109112109110112110109104107102108108106106115124113112112113111112109110110111109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163167167170170173171175178179184183182184184183182182181180181176169169168999999999999137144149146145144138136139142137135135136127128126122118114111108105109107114116118121124124125130129129126127129130129131132132129129131130130129130128126128128126126128128127131129129129130132128127128127127127126124123123120120118116109104101 98 98 96 94 94 94 90 91 93 91 85 81 79 78 74 72 76 77 77 83 84 87 84 80 80 81 76 72 71 74 73 72 71 67 69 76 78 81 87 86 88 91 92 93 97 98101104106107106104104103102103103104104105106107108110110114114113113114114115115117117116115117116116117117120119118116116117116115114114115115114113117119119119117118119118118118116117117118118118118118119117116118119120119119119120120120119117116115116118117116116116115112115115114115114114115113112114115115117117116115116115114112113114114112111111110110111109107108107108110109107108108109109109109108107107107107108107107106106106105105105106104104104105105105106106106104103102103104104104104104105104104103104105105106106107107108110109111109109109107107110106109104104105107106104107106111111114101109109115104104105104104116116113115 98109106109118110110104109110110110109105103106108107109115117111114113112111115115110110114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162166169169169170171174177178177183179179179181181183183181180179174169168173999999999999147144150145142141140140135136133133129131128124118114116114110116116114113113116119121124124121126125132129128128130130132133131129132131130128127130126126128128126124128130132133133132132134132129129129128125124118121121123121121118115109103101 99 93 90 93 93 91 92 91 90 87 82 80 77 76 80 75 77 80 84 84 87 86 80 69 78 77 72 72 73 75 75 75 72 77 81 79 82 87 89 91 95 95100103 99103102104106108108108107107105104108106107108109110112112111114116116115116115115115118119118120118117118117118118118116115116115117115114114115114112114116122121118118124123118118117117117117117117117118119119119116117118118120120120121119119120116116115117118116117116116115116115115115116115115116118116119119117118118118117116116114114114114114113110111112111111111110109108110109109110109110110109109109108108108108107107110111109108107106107106106106104103105105103104106104103103103103105104104106105105103104105106105106110106109110110110111110110110111107106106106107108109109107105105107109109105106115113116105105104103105116116116118108109109108109109107105100106109111110109109106113108107110114111 89112115117118114114112113115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170173174174174177179175172175178182172177176177179182182183180180179175170172173999999999999148147148143142145133139138138133133127124123123115116120119117115112115114114116120121122122128127132131132130132133132133131130129131132133131127128125128129129130128128130129135130133133133133134133133135129128128124122120120119116111102 96100 98 93 93 93 95 94 93 90 88 84 81 80 80 75 75 76 77 81 81 82 82 77 72 66 76 77 80 81 79 80 80 81 83 85 87 85 88 92 95 97 96 99101103106106106105105106106108108108107105108109109109111111111112112113114117118117115116116118119117119117118118119119119118117117115116115114115112115113113115116118119118118123118118117116115116116116117117118119118119116117119121121120121120119119118119118116116119118118117118117117117115115116117115117117117119118118119119119118119118117116115116115114113111111111113112112114111113110110111109109109109109109109107107108109107105111110109109107108108107106106105106103104104105105104104105104104104104105105106108104106106106107109107110111112111111110105109107107107107108107108106110108107105106105105106108108107115105105106107115118117111102105106107104107108106105113117109106107109108114112116111110111130112113110111122116114110113115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180175176175174174172174175177175173179181177174175177182184184184181179177175175178999999999999999151149149148147136135139137134135130127124125123121123123123122122119117118117118121122124127128128133136133131131133135135132131131131131130126127126123127128129128128126128129131132130132130131130131129130128128127124124119118112111109102103 97 94 91 91 92 91 92 91 88 83 83 84 79 81 79 70 78 77 77 79 74 75 73 74 71 83 83 90 88 83 85 87 86 89 89 90 91 90 94 98101102103105106105106109104107107108110108108109108109108109110111111111112112112113114115115116117116117118118118117117118118119118118117117117119117117116113114113114117116117119116117118117117116116122122116116117118119120120121120120121120121120120121120120121119118118116118117118117117117117117115115116117117118118118119119119120119119120119119118119119117118114114112112114114114114115114114113112109109111112111110110110110110108108109107108109109108114107106105104105105105106103106105105105104104104106106106105106107106107107107109107107111111110113111111111108109110110111110110109110107111110112104105106106107107107109109107107107109105115112138123106105107109108107114112119108103106105107107107108110107107106113114113113110115115114116115114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180178176176177178178178181183179180177179177174174177183184184183181181180180179169999999999999999152153153153145139140139142136136133130128129127125128128129124131125126124123124126127126128129134135130131133135135135135134133133131131130128129129126129129130130128128127128128128132132132132132130132133132130127126123122119114107102 95 93 93 95 87 85 88 88 88 86 83 82 82 79 78 68 81 72 69 73 74 64 64 63 75 82 81 90 87 87 88 89 89 89 87 90 93 92 94 97101102106101101102102106107104107107108106109109108108110107108109109109110110110111112113113112113115114115116116115117116116116117118118118117117117119119120116115116114116116116118117116116116116117118118117117117118119119120120120121121121122121122120120120119120119118119119116117118118117118119118118120119119120120119119120119119120119120117118120119119119118118118117115113113115114114116115114116114115113111113109112113110111110110111110109108107107107108108108105106105105105105105105108106105105106106106106107107107106107106107108108107107105107107109110112113111111113112112113113108112109108107107109105104118104117118119117110117119119119109110110110127117108113110119117114111117106111109111112107107108107108108111117114114113112115115114115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179177176176178178179178179180179179176177172176173175180182181181185181183182182179999999999999999999144150152142142142144142144141137136134131133130129130132132137137134131129129124125126127128132133130129133133133133137137133131132127127128127128124123127129130131129130129129130129129131128127124126130130131123126120124122120120108104 99100 95 90 84 85 86 83 87 89 85 82 81 77 73 75 74 69 79 80 58 58 63 76 83 74 80 93 95 96 96 97 93 97 94 94 95 96 98100103104104101102103106110107103106107107105109110110112108108108106108106107108107108111115115111112114114115115116116117116116117117118117117118117119121121121117118117119118117118116114116115117117119119120119119119120121120120121121121121121123122122121121121119119119118119119119119119119119120121121120121122122123123123123122122123120121120120119119121120120118119119118118116116116115115113115115116117119113113114113114113112109112111111112111111108108108107107107106106105106103104106108105107106106106108107107107108109107107108106107109106106106106109107107108111111110111111110117108111110107107108108108108107107108109111109107110112111113105111109107113119118114119115120118114118117101104105105111105107106108107107109110110110111113111114114113114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170176172174173178177178178175175174174175176172173174179181182182184182181182181180174999999999999999999999148151149145147145144141138136136135135131133135135138141140142139138134129127127128127129132132133130133135135136135135133133129125122123119123122122122126128128128129129130129129123124125123122125122123117118120115114118122121114110101 98 96 90 87 82 83 86 87 89 85 81 77 76 77 71 68 73 72 75 68 64 76 85 74 80 92 94 95 97 98 98 97 97 99 97 98 99102103104106106107106106109112112112102108109105110111111111110107109109115117110108108109106113114114113113115115115115115117116117117117117117117118117119120122122119120119119118119121121119118117117118117118119119118119119120121126126124122123123123122122120121121121120118117116119120117117121118119122122121123125125126126126125126125125124123124122122123122121121121121120121119118117116115116116117116116115116115115114114113113113113112111113112113111109111111110107106106106106106105105108104103105107107108107106107106107107107106108106107109107108106106106106107106108108107108107109110109110111111110108108111112113111111114111111116108108109105106110106108109109109108106105105107107111101101105107108108108107107109109109109110109110111113113114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172175172174175176176177179176173173173175179179180181182179181183184184182181180183180999999999999999999999999150144146148146144141141138137135133136134136135135136138137136136135134132131129129131132134135134135135136136135134133128126123120120115118116119117120123129129128130128126123121119115118115116117117117115115118120116122123119111100 98 97 97 94 86 80 88 78 81 82 81 77 72 72 69 65 62 57 66 73 65 79 79 82 92 93 97 99100101100102100100101105105105106107107107108111108111113111112112112109114112112111111110109111110113114113112109112109112115114117113113114115115116115116116116117118118117116118119119121122121120117119118119121122120119120118118117117118119119120120121127128129130124124124125122121120120122121120119118117119119117118119120120121121123124125126127127126126126125125125126127125124124123122122122121120121119119118117117117117118117116116116116116115115113114113114113112113112113113112111111109109108107107106107105107107105106105107108107107109111108109110108108109110108106107106108108106106106106107107107108108110110108109110111111111110111113112113112114113113117113112111105109110109108107109105107108111108106109111108100 99101106104127108108111109110110108114115123117113114114115114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168168173179180174175179177179174175176177180182183180180180181183183185183183184182180999999999999999999999999999151143148148146141142137136136139137139139139137136138135133135136134133135132131132133134135136135135134134135135133126128124121121119117117117119121125130130129129125123120118115114112112116116112113114114115117119121123119107101 99 97 97 97 85 80 78 75 74 78 79 76 74 71 64 66 55 53999 55 74 81 84 93 93 97101100100 99101105106103105103105107107110111112111111110110113111109107114110112111114114113111114111111112112115113117118112113114115111112111113114114115115115116117117118118118118118119121120120121121118119119120120121121120119119126121117117119120121122123125132126126126125124126125123122121122121121120119118119120119120121121121122122120120126127127126125125125126126124127128128126125124124123123121121120119120119118116118118116117117115115115115116114114115114113113112112113112113112111111111111108108107107108109108108109107107108108108109110111110113112109107107109109108108109108109106107107106106104105107108109110110111110109108109111111112113113112112113119120114114114113112108111111110114109108110108105105110108117100 99104105109108109108110111112115114112113114125115116125113116116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163165171175176181179178180181180175175176179180182181181181181182182183183185185184184185180999999999999999999999999999999148146146144142145141139139141141139139136134130129130129129134136134134134134133133135135135134134133134134134131128128126124121120119120120122124128129129127127123123118115114111108110107109112110112114115116118121115117111105100 95 97100 94 82 77 78 77 78 80 77 74 70 69 65 71 78 75 78 69 73 84 93 98101101 97 99 98107107108105106105108111110111114113113114114112108115117110111109111112114115115116115115112112113113112113111114113114112112111112112112113115116116120120117118118119119120119120120121118119119119118121121121120120121119129119118118120122123125127128129129129128129127127125122123123122122122121120118119120121121121121120119120123125127128127127126126127128129128127129127127126125125124124123122121120120119119118119118117117116116116115115115114114115113113113113113112113112112112112112110110109109108110109108108109109110110112111110112110111112112111111110108108108107107108108109111110110107108110110112110109109109111109109109110110111111113113114114114115114115114115114115115116109110109111110110108109110111117121124101129108122124114115118117122113113116116117117117116116115117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172170169174175172180180180180180181180176179181183182181184183182182182183184185183186188182183181999999999999999999999999999999140139140139141143140141145142141138129128128126126126129131134134133134134134134134136137137134131132131132130130127127126125125124123124126127129127127126127124118116112110110106107105104103106110112113117116118120115114108103 99 96102 98 94 84 82 80 81 77 80 72 72 69 74 69 75 70 74 74 84 83 93 97101103101101101106106105105103104105109112111113112114113113110114112116114109112114110116114113114113115111110110111110112112115116117116117114114113113114114116119120118118120120120119119121120120121120119118119120121122121121121123123121121120120121124127129132130130130129128129128127125124123123121122122121121119119122120122122121121120120122126127129127127127127128129129128129129128127127126125125124123122121120120119118119119119117116116115116115114114113114113114113113113113113113113113112112112110110110110110109110111109110110112111111111112111111113114112111113111114113113112111111108107112110110111111113114113110110110111111111110111109109109112113115116115115115113113115115115115115114114115115116117114110110109111115114114 95 95117119119121122120118115117117117117118118117117117118119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166170172170169171178176179181177174172176178180182182182180182183183183182182182183183183182183180180176999999999999999999999999999999139137138142142146146142144145139134134135131126126127129133135136135133137135134135136135135132130130131131132131130131130128129127127125126125125126126125124120116113109109108107107104108105105109111113116118117119119116111106108108101100 96 87 83 88 85 72 74 74 67 79999 86 61 69 85 84 90 94 98 95103102101103106106105105105106106102103107108110110113112112111112112110112111111120110113120118119116115114109110113112112112112113114115109114114114114118115117118117119118120120120120120121122122121120119117119120121123122122123123123122121121122126129130131131131131132131130129129128125123122121120120121120120120121122120121121121121121120121127128129128127127128129129129129128127128128127125124124124123122121121120119119120119120119116116114114115115116114114114113113113113112112113111113113113112110109110110110109110112112111112111111110111112111113113113113114113112111112114114113113112113113111109109110112111110111110111113111112112109110110112111114115117116116114115116117115114115116114115116116114115115114111114115114112129114114114115115115115117117114116115115116119118115114116116118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168166170176174170173173175173171175176175177180182183181182181181181183182183181181182183182183183179179999999999999999999999999999999999137142146141145146148146144145137135133133131127129131133133134134137138142139141138142141139134134134135133133132132132131130128130129127127129127127127125124117113111108106107105101 99104108110110114114115115117118117116115106108108106107 99 97 93 92 82 75 79 72 70999 82 76 70 69 77 93 97101102102101103106108109111108108107109112106111103103107109110110112113113114113112112112122105123123123120120114115113113112113112113113114113116115116115114115115116117117119119119121121120123122122123122123121121121121120122123123123123123122123123125129130132134139134134134132132131130129129125124122121121119122120120119120122122123122122121121120123126128129128129129129130129129130130129129129126126125125124124123122121121119118119119119117116114114114114115115116115112112113114115113112111112112113112111111111110110111110113112113113112112110111111112113113114114114115113113112111111115115114115114112112113113114113112111110111113110110110113112112109110112115114115114115116115117116115115115115117117116112112112112113111113115117117114114116113115115116115115114116116117117118118117117117117118120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170169170174171172168169170173174176177177178183184182183183182183184182183183182182182183182180183181181999999999999999999999999999999999999147148147142145147148146148139140141139136131136134135135135142144143142147141143143143144142141140139135135132134131129130129129129130129130126129128125126123116114113111111109103101103108110113114116121120120118112108111 96 97 97104102104109107100 89 96 77 75 80 71 77 74 81 85 80 98100102102105106108110109111115115111113116111110109107107111108111112111113114114113112106114114113115116118118114111116115116116117118115113113113113114115116115115115116116119120120120121122122123123124124123122124124124124123123123123124124125123124127138133133135143141141134135140133140131132130127125123122121122121121120120121121123124123122122122122124127129129129130130130130130130130130129129128126126125125124124122123122120120120119119117115115115114114115115115114115112112111111112113113113111111111112112111112112113114113114113112112112112113112113115116115115116117116115115114114117117115114115114113114114116115112112113111111110111112109109111111112113112113114115113112111112115115114112112115115116116112111115115115117117116114115113111112112113112113113114116114115117118118117119119120119119121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163165164168166168169168168170172171176177175178181180183185184185184184183184183183183183183183177187184999999999999999999999999999999999999999160999999143149148147150146140141140144142144144143144146150151148138138142144147143143145145141140135133133129130131127126127125126129127126125126130130129123121117118116114112111109110107111113114117120123116112110108101100 98 97 92 95 94107107 99 96 88 77 63 77 61 68 75 79 88 95100103104104106108112114112114115114117117117116115114113112112112113111112115117115114111108111110111107110110112114117119119121119119121115115112114115115116119114116115116118119120120121121122123124126127130129128129128129128127127127126127127128130131131143134136138140145136136135134139139140140131128127124122122121122121121120122122123123123123123123123129130130129129130130131131130130129128128126126125124124124124124125124122120120120120119116116116116116117117117115115114114114112111112113113113112111112112112111112112112112115115115113113113113115115114117116121122120119118117116116115115116116117117115115115115115113113113112110110109112112110111111112113112113114112112112113114115113114114114114115116117117118119115117116117117117116114115112113112112112114113114116116116117118117117118119119119120122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161164166164167167169170171170173173173173176180183183184184185184185185184185184184183184185184182181176999999999999999999167166165999999999999999999999141144145149151145142145146148150150151152152151151150148145145146147149148148148146145145144143139135134134132130130131131134134127127126129128127121119120115115119115116115117112113115116118119116117112111103 97 94 89 87 98 86 87100 98 88 95 86 66 63 70 71 76 78 86 92 97101103107103106113113121114116118110118118110118121116115116115110114113114115118117115115118116114114113116112116116110119116121122108110109109110112111108116118118117116116119118120120121123125127131132132133133132133133134133133134133134133133135135135136138140139138143143142143142143141140140142132130128126123124123122122121121121122122122122124124124127129130130129129130130130130130129129127126125125124124124124124125124121121120120120119117116117117116116117118117116116123120119113111112111112113113113113112113111111112113114115116115115115116116117116118121123122124121122122120118118118118118118119119117116116116116117116116113111114114117115112113111113113112114113114112113115115115115115114115115117118117119120121121120121119116116118118118116119116115116119114115116116117117118119117120120121123124124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162164166167168171171173174175176177178177177179179181182183185185185185186186186186186185185185180181180999999999999999999167168166164161160163160159999999143147151152152149145144146148149150150151152150149148147144145147149148149149149147145146146144142137136134135130132132129131131127133127127127124123122120120119119116118118118117116116121121117114115115105 92 91 88 94 84104 84 78 89 92 92 93 92 81 67 79 79 89 90 99105101102105105104108112110114112114116114115113111116118116110110112116116116116116119119119120119119120118117118122119118109111110108116114114115114115112119122117118116118118117119120121123126128129130133133134134135135136137138139139138138138137138138137139142142141141141139138145144138144142141140134133132130128124125123123123122122122121122122123123125127129130132131129130130128128127128129126125124124124124123123124125123121122121121120119117116117118118118117117118116115116124122120118112111111112113113113113113112112112113113115116114115115115116116117118122123123122124125125124123122121121120122122121120118119119119118117115116115113114113113113114114116112113114113114114113114114114116117116114116117119120120121122121121123123121123124120124125120119120117117115116115116118118119120119119120121120124124128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164168170178178171170171173175176177181180179180179180182183183185186186186187187187187187186185181180182180999999999999999999164166165164162158161162161999999999146149149151148144143145147149150151151150150149149146143144146148148148147147149143144146143139136136136133136130126129129130129128129126129125124123121120120118119120120120120119119118120117117117112102100 80 77 99 86102 71 83 88 84 84 84 82 83 77 96 95103103100100104104105106109104107113118109113111117118116116114117114115118113115117118117119121121119120122120122121121119121116118116122121119113115115115115116117120122121119118120122122123124127128129129131132133135137138140141142140140139139140140139139139139139141144144145144145144143148143138137137135134135135133133129126126124124123121123123122122123124124128130132133132130129129127126126127129128125124123123123124124123122121120121120121121119118118118118118119119118118118117115125122122120119116111111112114113113113113112113112113114114115116115116115116118119121123122122123122126125123123121122121121120121120120119119117118117117113116116116117113112112112115114115112113113115115114116116117118118118117119121121122123124124122123123123125130124123123121118118119121117118119117118119120118118120120121122124123123125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163163169175177170172174173179180176176179177178179180180183185184185186186187187186187188188187186184181177178175999999999999162168160163162162158157157157159999999141146147149145142142142145148145147146144147146146143138140142141143143141145143138141143139136133132132132131131128126128128127127129129128123122122121120121119117117116118117115116116115115115107 99100102 95 78 77 95 67 87 89 88 85 77 81 76 87 85 85 91100104105102105104100107113107110110105109108110113110110112117113114115117113115117118120121120123121122119121121121121119121122119120119122122119120112117119117120122125126123127127127129128128131132131131132132135138140142143143143142142141141141140140139139141144146146147148147155152151151149146137138136135136136134133131127125125124124122123123123123125127128129132133133132131128127126126128128129128125124123122123122123121121121121121121120119118118118118118120120120118118117116123123120122122119117119118114111112112112113112112113113114115115116115115117119119120123122122122122123123123123124122122122122122123122119117118118117117117116118117115115116114114114115115114113115116115116116116117118118119118118120122122122122123123124124124123126125126127125120121123123119115115115117118118120120118120121125123123125123126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158164171174170172173174176178172175179180183182184184186185188188187187193193192189189191192185184183181178175178999999999999166162158156159158154155157156158999136134141138142142141140139140144145147147144143146146143139138140140143147143144146148141142140135132132131130131132132129128129130129128127123124123120119121119119117114112112112113111107105104103 92 91 90 91 95 92 96 81 81 87 89 78 82 86 80 76 97 86 88 97101105107111106105103 98107107113113115116118112112116119112111109113111110110111113115116117117119122123125124124126126125123118119119120122127126123119120121120121124125128127129130127127130129133134128129135130129139141142144144145143143141141141141140140144145145145147147150149149150149149148150137143136135134135135134134128124125125126123124124125126128129129131132133132130130128129128127128128128127125124124123123123123122123122121122121121119119118118119119120120119118118118117116115123122121119120121120110111111112112112112113113113114115116115115116119121122122123122122122123123124124123122123124124123122120120120120119117118118117117117116116115115114114115114115112114115116116117118117118119118119119121122122120121122125126126125126127126125122121122120121124124118117115114114117116118118118121122123122123123122124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162161164162166165166176176172170171171176180181184186187190191192193193193189188189190193193194191187182179178175175999999999999163161155152150149148150152154155137134133140142141145142141141142141143145145145145143145144138134138139142143140142142139140136135133132133132133132134133131130129128128127126126126124123120119118119117112108107107105109105103101 99102999999999 79 80 87 82 84 78 80 79 77 80 82 83 88 92 96101104108109112 98 99 97101107114114112115117117117111116116111113115108108110114107108113115115120120118119125125126128125126128123123123125124124123126123123119122118121121128121128128129128133133136134131135134131131133138144145146146141140139140141141142145146143142144147150152153151151151151148146141143143142135134135135133132130130127127127126127127128130131132134134133131131131131130129128127126126124124124124124124125123124124123123123122121120119120121122122123122120119118118117116115115113121120120121120119111112112111112113113113114115115115117117120121124124121122122122123123123124123125123123124122122121121120120120120119118118118118115116116116116115114114114115114115117116118117119118119119118120121121122121121122124125125126127126125125124124124124124123122121118118118117121119118117119121122120120120121121122121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160159162168169170165172173173173173171173176180184188189190191192193193192192189187191190191192192190189183177178175174999999999158159155150150148148148148149153153138134135138141138141140141143142142143146148147146143146146143138138139139140140140139136136131130134134136135135135133132131132132131128130128128128127123121121117118116116111109107106106107103 99999999999 96 96 87 87 86 85 85 86 84 83 80 86 83 86 93 96 99103108109100104109107107108111110112111114116115114114115115115116115115115112113114115115115118118120118119122123122124117119121125125126126129128128122126125124129127125128122124127128130133134137132137136136138139139142144144146146144141139140140142143146146142141144146146148153154156153154152150152146142146136134134135135135132130128129129128128128127132132132133135134133132131131131130130129128126124123124123123124124124124123123123123122121121122123122123121121121121120120120119118117117116114115122121120119119119112112112112113113113114115116116116118121124124124122122121121121122122121121122121121120121120120120118119118118118118119119119118117117117118116117118118116118118117117119119118118120120119118120120121121122122123124123125126126127127128127126125123120121118118117118118118119120119120120121120120121121122122122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161166165166167170164168174176176176177178181184187189189190191191191190191189193192190192192192192191192190184177173172176172999157158159156152149148150150149150153148144137137138137137142141141142142139139144146148146144143145143134138137138138137135136135134132134134135136136135134133133133133134135133132131131131132128125124124118117118114109104104101 98106999999999 84 88 85 84 92 83 87 85 85 90 85 89 94 89 90 93 93100103106108104106106103106108107111113112114122122117108108108116117115115116114114115113112118120122123124120127127129124133122128122123126134129126128127122125125129130130130124124129130132131136136138138138136135136136136140137141145144140141141142144146144143141143145148147151155158159156156155151152150147143137135135136136135133131130130130130129129132133134134134134134133132131132131130129129127125124123124123122123123122122123122122123123123124124124122123122121121121120121120120119119118117116115122121122120121121111112111112113113113114115116116116118121124124123123122121120120121121121123122121121121121120119120119118118118120118118121119119118118117118117118122122120119119118119121121118119119120118120121121122122123122123125125125125127128129131128127127125122120119119119118118119117119117118119120120120120121121122125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163168166164163165169170173176179180181182182184187189189190191191190190191192193193193193193194195192193193189182179175174177171161151152151153154149150146148149146148146142136136137138141140140139141141138141143144144143144144145141141137136135137138137135135137136137135134137137136136137136135135138137135135136138137137135135133127123115116105103107106100999999999999 85 83 84 83 86 81 77 76 77 79 78 80 89 91 87 89 96 98101104104109104107107106107107109108118121122114126125113117115114116117115119114116117117111121113124114116126128129127125121122122123128135135133133128124124123128129133132131128129132132134134135137140141139137138139139139140140140138143140142143144145144139141141141141141142146151156158156153156150152152149147144136135134136137133133132132133131132132133133133133134133132132132132132132130130128128125125125125125124123123123123123123123122123125124125126123124124123123122121121121120119118118117117115113121121121118118111120119117120112112113114115115116118122126125124123122121121121121121121121122122122122121120120119119120120119118118119120119118120120119120121123124123121122119118118120121121120120122120120122122121122122123123123125126127126127126128128128125125124122122119120119119119116117117118119119120121120122123125126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167165166173167167171174176178184187188187185183182186189187187191189190191191192192189189192194196197194191191188183180177175173171162160162149153154150146146147148150149148146137145144142138138141139138139139141143144143141139137139135139136136134135136138135133136136139140136139139140139138139137137138138136137138140139138139136135128121113114108106106105999999999 89 80 78 84 80 85 77 80 74 74 80 83 83 75 86 88 86 95 99101101100101109100109108107109109108104122117125129119118117118116116118120115114116116119119120121121125126119127126128126123127123131137137137136133133128124124128128130132129129131133134134137139137138139141141141140138138138137138140141144142144147143142141140141140140140141141141148153157158157156152151154151149148142139138137135133134133133133133133134133132133134134132132132132132131131129128128128127126125125124124123122122123123122122121122123124124125125125124125124122123123122121119118118117117116114122121119118111111120119120120119120114114116116117118123127125124121122122122122123123121122122122122122122121120120120119120118119119119118119120121122124125126127126126126126123121121122123121120122121124122121122121123122123122124125125127127127127127128129127124124124122120119117118116116117117117118120121120122122124127126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167177173171174173169174177179182186187187187190189190186189187186191191195195193195197197192191194198197194191192190185185183182182177173168168162152156151152150151155150148147145139143142142143143143143142142143144145143144143143142145141138134135138138138139138139142142137144143144143142143144143139139140138138140142140140137137137135135120126111103 98113999999 83 83 82 84 84 86 81 80 79 83 78 79 75 83 88 83 82 87 97 95 94102103112108110111111109116114115115119119117116121123121118122120115113120121117116118119120121122117119126125126125130132122129134133133134133133133132127126130125126128129130132138139141141139140141141141143145142141141139136137138138143144145146146143139140140141139140140140140142145152157156157158153150152154154151148148146147139135133133143142134133133133134134133133133133133133132133132130129130129128126124124124123124125123124124123122122121121122122122123125125124124125126125125122120119119119119118117124115113116118118120121120120120118120120116116117120126127124123121123123123123123122121122122122123123120121120121122120120120120121122122124124126126128128129127127127128129128126125123124124123122125124123122123124124124123122126127125128126130130129129126126126126123120121119118117116119118119118121122123123124124122127128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171177167177175172178177175180183187186188189190190188188188188187186190193195197198193197197191193192193196197194195192192188189189183182179178170163166157149153153155158158158147150145145142143144146141143145145146146141146145146147146143143139136135137139140142143142141144143147147144146142144143144142140139137140139142139139140138136138999136125107104 95 90104 88 72 75 80 89 93 95 87 81 74 77 76 79 81 85 82 93 93 95 98101103107110112117119120115115111112115118116116118119118119118118106109117116113118117123117118121122122124119119130127127122123132135135143143139140135134134133133129136132133130130132133135141142144140143143143144147145144142142143138138140136135147145146142139139139140140138138139139140141147154156157160158155149151153154152151151148146141137135134143142134134134133133132132132133134134134133133132131130128128128126125124124123124123124125125124123123123122122121121123123124125125124124124124123122121121120120120120119118115122125115117119119114113119115115122123125123127126125125125125124124123122122122122121122123124123122122122122123121121120121122124126126127127128129128128129129129128129129128128128127127127126125126126125125124124124125124128128130127127129129126126126126124123122123121119118119119119122122123124124127123126130131130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167169176171176177182179179177179187188188192193194189184186188192190195192194193192198196193193191192193195195195189191190189192192184185191999181178169166162155150154159155154159150148147146147151150151146149146145148146143140144144144148144143144141142141141141141141142145147147148149147146144144146146144142140139138136135136138139137999999999999125102102 98103101 87 81 86 86 88 88 85 78 84 83 78 75 77 86 92 89 89 95 96101103106114114120120124121115115121118117113114112113114119122125108118120111114115119119119119119121132133128120128134129127114122127136143137142138138139137136135135131137136138138140139137138139140145147150145145146146147146144143141140143138137137137144142141139139139140139139139140139140142149156157158162158153151151153156153152144141139136135134132132133133133132131132132132133134134132132132132132132130130129128127126126125124124124125124124125124123123123123122123123123124125125125125125125123123123122123121122121120119118118119116124123114114115123123116121123122126128128125124123124123123123123122122123122123123123124123122124124125124124123124126128129127126127128129128129129129129129130130131130130131130129126126126126124124123124124123125126126125127127128128126126128127125124124125124121119123124124126126126124127127130131130133134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168170173173173172174184179180183189186192190193197194190191189192196193201202204197195192193195198196194196196195195999194193195193192190999999999999999171171167160146161158157155154157149153157152151152153149154152155153152146145143145148144146146146142142143142144143144146146148148148147147145143148147145143141141140138999129132134137135999999999115123 99106 98105 97 91 90 84 87 91 93 92 81 82 82 80 83 91 98103 90 92 96101107101107115120123121128119128125123122123113113114117113116115118116117116122122118120125123116116120127123128122123129137128126124133129143135133134138138137138136135136137137134137139140141143143144148150151148148148148146146146145143144144142142140142143140141140141141141141140140139140141148154157158160162162152150153154156155149141137136135133133133133133133134133133132134133133133133132132132132132132132132130130129128127126126126125125124124125126126126125125124124123123123124126126126126126125125125124124124123122122121121121121119127117116116116116117116118119124127128128125125125125125124124124124124123124124124124124124123124125124123125126125127128130128128127127128128129129130132131132133133133132132132132132129128129126124123124124123123123125126127128127127128127128128126125126127120122125127126126122123121125126128130132133137138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166170179176175175175180181183185187192192193194192193191192192192193195201197204206206202203203206203198196192193194195197196193999201194195999999999999999999999179175171159148157155158157164157160163159155156155156153155154154155152151151151149152152150145144147147146146147147147148149149150150150147150151151146145141139150136999999999999999999112111108116112104107107 99100100 92 89 90 90 86 86 86 83 89 94 96 92 98 98 90 91 95100102108116111120121128132130129128124122124120120121120119120118119120118113119123119118118118114121137137125139128122131138134133135128139138137138139139142141143136135134129136137146144142150146148148149153150149150150149146146146144146144145143145146143142140140140142142142142142141140143151156159159160163161156152151154155154153148142137136135134134134135135135136135134133134134133133133133132133134133133133132131131131130128129126124125124126128129129129129129128127127127126126126127128128127126126126127126126125127125124124123123122121121120119118118118119120120122127128128128127126126126126125125126125125124124125124123125124123124123122124127128127128128128128127127126127128130130131133135137139138137136136137139138136134132126126126126125124124122125125127126126126129128128128128128128128121124127126127128129127128130131131132138139140137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172173173174178188185186184186189194197197196197192201195193198195203204204205205207207207208207207204199202196192195199201200200999200197200999999999999999999999999181176170161151165157161168167161162161160158160159157158157156156156154153152153155156155156151152151150149150152155154154151151150150154154157153145143142135999999999999999110109112110112113112106103100103109107111 98 99 95 97 95 91 90 86 94 96104105108110110109111102103118115122117125135136138132130127120119125122120119118120121122123121115116119120117123122123125128130138139129130125125136140142140143146145144143143148143145152139140136142144140146144147152150153153154153150154154150150148147146147148150152147145146142142142142140142143142142143148152157158159161160162160155152152153153152150145141136136136136135134135135134135133134133134134134133134133133134133133133133132131131130130130129129129129131131132132132131131130129128129129130129129128129129128127127128128127128127127126125125125124124123123121121121120121121121122125127129128129128128128128128127127127127126125125125124124125128124123124125126127126128127126126126126125127127128129130132135138140141139140140140139141141139137134130127125125126125124122124125128127128128130130129128128127128123129128128128130132130131132135137136137140143140137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175177176176180186191191189185188194196196198199196193196197197197202197198201203209210211210208209207207205196196195196198202202205207205202197199197999999999999999999999999179177171162155163170170172162162163163162160161160159156156160158158160159159157158158157157156154154154157156158158156156155156155158160158159147143999999999999999999113114113117116114112104105102107103101102103104104100101 99 97100101103106104114115120111120109121118115125131133136142142140140135129120123129124126123123120122128134135118127122123126127124124127130135144144140134146147145145145145147149150149144143147147152151144145145149144145146147150156158155158155156151152152152151149146147149149149153145143147144143142141142142143143147149157157158160159157158159157152152151153152149146141138137137136135136135135135135135135135135135135134134134134134134134133133133131131131131131132131131131132132132132133132131131130129130129129130130130130130129129128128128128127128128128126127125125124125124123122122122122121121122124126129130130130130131131131131130130129129128128127125125124124125124124125124124125126126125128125125125125126127129131131132134137140141145145143142140140141139139139133130127128127125126127127130130128133132130130132131131127127128130130132130132137131133134136137138140138139136134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188180177184185192180181182189191187195197198197197202194196199199200202204205207203206209209212213212208209204201201201200200203203205206208202202201200999999999999999999999999999185176171160165165173175165171165162163164162162162159157160160161162162162160160159160160160159158160163162161161156159161160159160160162162150147999999113999109115115115111108106 97 90 91 93 95 97102104106110109106109104107106100105105 97100117112120115115114113119129135137140144139139136131125131127125126130129129128127127129128129130128133132129130130129132136139136143144147149150153150151149150149150149148149151152150155155151153152152151153151152153154156160158158154155152153152149147145145146148149148147146144143143142141146150152156159162159159156154154155156153151151152153151148144141139138137136136136136135135135135135135136136137137138137135135134133134134133132131132131132131132132132132132132132132133132132132131131131130130130130130130129128128129129129128129128127126127126126126126125124124124123123122123124125127129131131132132133133133131131131132132131131131129128124125126125125125124125125125126128129128125125127127128136134137138138139142145148149147145145145143142140139135135132131131131133132134135130129133128131132132131128128130130129130132133133139136136136134135135136142141134139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182184179184186188189184184191187195192195196197198201198204201205202203206205208211210208216215214212210206206204204204201203207208208207206211209208206203212999999999999999999999999999183176172170169172174177172167162164163161162168167166163164164163164162161165164166165163165164164165165162164162164165165167167166166161999999999113114117107113113111111105103 96 97 97 97 96 98 99105 98 99101115104104104113118111109110111123126131134130131132139141145141147145145148145138128130132130128132133134132131134131136130128127131129132131137134141141147147153154152156156157155155147149153155156154154157159157151147157158161155159159161156156160161159157155154152152152150149148147146146143144144144146145146147150156160161162164164160155154156153151152152152152152153154151149145140138138138138138137136136136136136135137137136136144139135135135134134133133133133132132133133134134134134134133133134133134133134134133132131130130130130130130129129128129129128129131130128129129129127126126126126126125125124124125127128128129132131132133134135134134134134133133133133131130128125125125125124124124125130130129129129128126126128141139141137140143143144146149146154149151147146146144142140141140140139137137135149148143130131130129132132132131131128127129130131133133138136139139137136137136135137136140139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179181185180181184191193193195196197197195194197200201200202202202207207209212213214212213212210216215211211210207207207207206210209211209211212212212209212212214999999999999999999999999999999183182179174173172166173169171169175169166175172171161161163162160166163165167167165166165166167167167171170168167166169170167165158999999999117120118116117112110109109105104107102103102100 99109102 99107110116108110114120109126126127130130130136133138128141143146149149149149147150147141135133132132135133133133134135136128129129130137137141139142138143152154158155158156157157159158158156159160158159160159159160157159159157159155155163160161158161162167162161157154153153149152151149148149147148147148148152155154157161164165166168170165163156155152151150151152152151151152153152150148145140138139139139138139142142137137136135138137137136143144134134134134134134133134134135134135136136136135135136136135134134135137137136134133132133132132130130130129129130129129129130130129130131130130128128128128128127126126126127128128128128130131137136137133135135135135134135135135134133132129129129127126124124124131130131131124127132133136138139141143145141143146147147150150155154153148149149145143143142141145145144141138145147143132131131128129132133132134134132132134136134141139137135138136136136137136136142142139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183185185189184185186193189189200195193197200200198200203201201207207213212214215217218215214213213211215213214210211212212211210210206214213215212211210208208215215999999999999999999999999999999999186185186181179171171171179173169165171171165164164161161161162162162164165168170175178177176178177173174173175173172170166161999999123119125125122121119112116113110116112112103101108111108110109121130119124129130121118124129130134133138136136136137144144141141148152152153152151151145142134137139137137135136135137138136138129128135140144149150149151153157160158160160160159160158160159160159161160162163162161158159159158160161163164161164162162166165164160158154153152153154152152153152153155157156159159163164166166166167168169169166159154151150151151152153152151151152153151149147143141140140140140140140142142137136137136136136136136135135135134134135136135135135136136136136137138137137138138138137137137137137137137137136137136136135132131131129130129129129129130130130131131131130130129129131131129129128129129129129129130130132133137135135136137136137138137138138136134134133131132128127126126131132132132131132134135136139142143146146147142144145148148151148148149150144148149147147145144146145141142139140144149145143132135132131129130133132132133135137139140143143135133134139142143139140140142138137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193187187188186187187189191195196200199201200198199199202201203207210211212215216218215220214214217218219218218217215216215214217216216212212213216215215215213215217217999999999999999999999999999999999999186187189186183178172179181182171170167166165167164163165163164167168173177180181180181180180177177178179178176170169152999999125126127124122125122121117121117119120119114106 99101 97113116107131133119121126127132133142135135134137137142149149157150147151152150155155156151145152147141139140133134139144138137143141135141137135142141146158157153156157156156155157157160159160159162162161161162161163163164164164162161161160162162164164164163166166163164159157155155153154156157155161161159162162161161162165166167168168170168168167166155153151151152153153153152151152154154151148146144142142142142142141141140139138137144142141140140136140136136136137136138136137137138138139139140140139138138138138138138139139138137137138139139138138137134131131130129129129129129131131131131131132132130130131131131130130130130130129130129134131133134135140135136136137138138137137137137136136137138136134130128133134135134136137138138139140142144146146148149141144145145145146147146148139153148149145146145145145142140137138137146148140143139146132132132133133133132138141137140139141141142138140143146144150149142142150149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196192193194191188189188190192194200204203202201198198198205210208212214213215216217219221222216215215215217215214219221216214215217216215214213217220221221219218218220218999999999999999999999999999999999999999999188187186181178178176177178174171177168170169175177169172174178183183182181178178181183999999177175174170164158999133126128128126124128125121116121122120118117115112114113118122131125126132150136141141143143144140149139140142146149151159163157156155160157156156158156154153151147146146144137138144140137142143143151146156156157156158159159161160159163161161162162161161164162164164165166165164163166166166162162164162168165162162163165165162160160159157158156158162164165165164162161162164163163164165166168170171173170169166161155153151151152153154155154153152153150148148146146146145145145145143143142140145144144142142141139137137137137137138139139139138138140141140144140140140139139139139140140140139139139139139139139139139137136133133132130130131130131132132132132132131130131131132131131131130131131132132132135135135132133133134136136137137138139138137137137137137141141137136133136137138137139137139141140142144144145146152150143145143146144144145144146145144147146146146146146144143141142146161157159140153142144141144143137137138139140140143154137140140141146145145164166161158154147146149149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205202201202198196197190198191194197199204207202199205208205207211211213216217215216218218222223223218217220219217214216217216218216217219219220221219221221222224224223219215999999999999999999999999999999999999999999999999999188182181179184176175178175178172171169168172171170182186184181183178180180180999999999999999165167163141131130132131131129124122126120111113112122120118120122123122123130132138135140153145149156156151153154154154161157156154153155168166168167161159159159159157154155153144149149152151151155149141147147152153160156160157161160160162163163165166165163164164162163164163165167168167167171171169169168164163166164165165162163163165164162160160160164166167166166167166166166166164165165167167167168168169171172173174170167163156153152152153154154155153153151147147149149148149147146147147147146145148148147145144144143143142142141143141143138138139138138137139143143143140140140141140140140140140140140140140140140139138138139138137135133133132132132132132133132133132132131130130132131131131130130130131132131132133133133134134135136136137137138139139139138139138138138140140138139136138138137138138141141144146146146142148151161149150144144143143144144144143144145146147148144145148140149146144145157158156148146146145141144143143143137141140141142142141154143143144145145156146149157154154147151153 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208204206205203203200202198198201205204204199202204207206211208209217216217218218218221223224225222221220223220215216218217217217218217217219217219222224225225225222224217219999999999999999999999999999999999999999999999999999999999193193185185184184185180177173173180178178184188178999179183181179179999999999999166167166167163157137131130143136136128135130114108107108112113120113127135137143142141138143138147147150153153154154154154157164160160158163166171168167161161162161162161161158155155147146147143151157150151147149154151151153156157162162159157162163163165167166166167167165164165165166167166165165168170168168170168167168165166164167168164163163162162164165166166165166166166166166167167165167168168170170172171171173174174173173171165158154153153152153153153152150148148148150149149149148147148148148146146145149143142141145144144144142142143144144139139139139139139138143140139141141140141141141141140140141142142141141141139137138138137137136134133133133132133133133133132133132132131131130132132131131130131131132132133133134134134135137138139141141142142143142142141139139139139139143137138139139139141140142139145147148143143146152148147147145143145147151148148145146142144144145148147145149145146146146146154148146147149146143143143144144141146138141140142142141144144143142142152155157158159159156151148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210208206208208207206207205204197202202203204202205209212214207210211213218218219219220222224226227228224224222224220221219220217218217218220221222221219220221224225226224228220219999999999999999999999999999999999999999999999999999999999999999199198191191193193190188186188188183191999999182182181179181999999165165167167170169166165158147141135145136132123125125123115111120125135135126139149150149153153157157158158161162163155157158157154163166166170169167167173171171167167167165165163164160156159154144154153151148153158153158149154155158162165168164160160164164167168169168169170168167167168167167169171170170169170169169171172174173168165169168169164164166166168167166165165165166166166167167166167168169168171174175178175174173176174174174174166157155154154154153152151149148150149149150149149149148148148148148147147146146144143148147146145139145143145140140140139137140140139139138139139141140140141141141142142141142142142142141139138138137137137137137136135134134134134135133131132131132131132133132132133133132131132133133132133133133134135137140142143146145145145147147147145143145145141141142139138139139139141137139140146143145146145146144146147157153145145145145145146166143144149150148145143144146146145144142143144143145147141140143153150155139154155140142142144148144142145145145153156157156156157153150149148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208215205211212210210208209210208203207206206204204206207208209211214211213218220220222224222227230230231230230226223222224223222221221220221222222223223219219226224224229227230224224999999999999999999999999999999999999999999999999999999999999999999999999999999197195193192192192192999999182179181186182180999169173166168176172172170163163160153149146132135129125129127130120132128126134142143140154156156149160161153164160160162164164162170169170172172174175171170174175170173170167165165163163161162161158149149154149153156155158158150149157160166166169167164163162168169168170171172172169169165163162167170169169172171171171168179176175172172166165166166166165169167166165164163164164164165166166167168170170171171172175176178175176175176176175178175172165156155155153152152153152151150150151150149149150150150149148148149148147146146145149148148142140140144146141141140138139140141139140139139140140140141142142142142141141142143143142140138138137136137137137138138137136136135135135133133132131131131133134134133134133133133133132133137138133134136139141143146147149150148148150152151150149147145144149150144140136138140141141150149150149147147145146145152155153152152152145153150150149150164167150145144161148146146143142146148145146146142143142143147140144152147146150141142140146146148148149148149149150153152151152153154151 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200208211209210209212212207208207207209206209207208209209211209211214217215216219221223224225229230233234233232231228227223229225225226225223221221221222221221221229225226231233232227220999999999999999999999999999999999999999999999999999999999999999999999999999999999195197195199999999999999189187188193999999175173175174174180179178170166164164160157150142139135132133132136128140142137141148141144157150162164165162165162168166164168173173173172172172177172171171171177176171174171169172173170167165160157158149148150153153155161164155160159161165162168165164171168167172169170171171172174174173173171170172175175175175175177174171180176172172170170170166165167170170168165160165166161166165167168167167168169173173175175175173176177177179180179177176177174167157156155155153153153151152151151151151150150150150150151152151151148148147148147146150144144143142146146143148148139140142141140141141140139139140142143143143143143144143143142142141140139139138138138138139140139138137135134134134132132131132133135134134133134133134133133133132133133133139141143145149151151152152153150150152154154152150148151150153149144141140142144158150150151148149149152152150153152153151145144146142148149149148147145149148148148147147145145145146143144152156155154152154137142146146146146149158160150150150149153151165165165165164164153158152153146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199204210201209207209210212211209208210211209211211215216216217218218216217219218223225226228231234232234233232233230229227228229227227227221226221225224226224224226231229234232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189194190185999184186182179176175175170171168172999999165163162150134138129133125130129132148149151149152158157161157162164162167164169169170171172171174174174170169175172171170173172171168171172172171170163163163161161156147147153151155156156162161160163165168168172172169171169167168169172173174175176175174175175176177179179180179179179180174179175173171170168168164164168168168167167167167167165168168168170170169170170173175174172174177177182181181183182180177176175167157157157156155154155154152151151151151151151151151152152153153152149149150149148148147150150150150145149148150151150150143143142141140142142141142142143144144144145144144144143141141140140139138138139140140141139139139137136135134132131131132133133134134133134133133132132132131132133140142143144150152154154156156154152154154154157154152150149154153150148145144145145145145149150151151158158152155155154153152146143149149149149148147145144145144147145148144146146143145142146146143145145144137139142153150144150153145149150155157156158157157157158159158157157160167159152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203200202213208213208213210215213214212211213212212213212218214218213216215218218217223226227229234237237237237235233234229226230228225226226226228229228229230230227230231230233236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195190190999999182185184181179181180175169166999999162165164155156142130127128145150153155159167158149160159162162158161163167168165165171175177174175177173174174174172172175174175172171167171169168168159159156157157161156150151152152151159157163164170167170166162170170173175173175175175174176174177181181182182183182184183184182183183183180179182177178174173173172171169168167164168168169169170170164171170170171170171173175174176175175175175181183182181180181179176175169158157157157156155155155153153152152152151152152152153154154154153151151151150150149147147151145146146145144145145142144145145143142142145143143143144144145145143144144144144142141140141141140139139140141141141139140140138137137136134133132132132134134135135135132137134133133133136165146146159157153155158160161158157158154159161160159156155153155154149147146146146154150148152152153158159155154156154151161160164158156158162162163150144145145141141151151148147147148147146146143143145142143146148145143146146147147150153154155155157157155156160165165165167168159161171171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198201202205204213219216212213214215216212215215215220211209213212214216216218220219220221223226229234237238237237237236234235230229230229225233233232232232230230232229229234231231233235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186188183180180185183189183187187180172163168171161165159153145142137138139136140157161168167156158167156157157159161161166167172175175170170178177177176178176173173172175173176173176170172168171163157156154157158158151145146155151153158162166170161164160170159174171179178178178178179177179183184178179187187187189189189189185186185181178187185182175168167166167166172170172170170170170168169167167170170172172172173173174173176169175177176180183181182182181178177175170160158159159157156156156156154154154153153156155154154156156155153153152151152151150149149148148147147146147147144143146146146144145145146145145144145145144144144145145144144142141141141140140140140140141141139139139138140140139137136134133132132138135135133133133135135135135148154157157152155154155160163162159159163163162163164161160157158150152149146146143145145152149149152157150151151151158157165161158158156156156161163162161150157145145145142152151150150149149148147146146145146144145147148147148147148147146150152154156158162160160161160161163163165164172172170169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204208210213218217222221218221218218219216219219216218215218216218217220218219223223224226230233234236237237237237236237231231230230229230234233234231234232232233230230229233231230235234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193190188194193180185179188176174168166170172167161153143145146144149147157147157165161163164157165162164165170162167168173167173173173176182181180179179177179173177175177180174172172169165163161158158159164164161156158158149151156162162167169170172172173169175179180181181181181180181184185187190189191190190190191189190189189189190189190189182179176177175170170169169170171171172171171171170170170171173172173178176176178179179181182181184184182186185184182181180172166160160159158157157157156155154155155155157157157158158157155154154153153152152152153152150148150149147146147145146147148149147145147148146146145143144149147145145145145144142141141141140140139139139140139139139139138140139140139137142140134139139133138136139136135136139145148149155158155154158159162163160162161163164163165163163161162159153153152147146145145159150150150152153154158157159166165165164160158157160163164163161159155154153153145144152151154154151150150151150148147148154147147148148148147147147150149156159161161161163163164166166164166168169167172171170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208204208208214215218220221219220221221221220219219220219220220218219220222223226227227229230232236235237240240239238234235232233230233230231233233235236234236235235234235233232233232234235233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198200200198193193184183173171176176174168162153164158153149144146158161152161165167168167165166165165177187180180173174184184179175180184182181175175175175174173178177175178178177172166164165164162161159164164163159166164164163161165170173170173168165171173175181181182184185186186186188190193194195195193194192193195195197198195193194194193190190188190193185182177173173172172173173175173174170172173174176177179176178183185180182187187185185186185184183183182181173171161159159159158158157157157156156158158159160159160159157157156156154154153153153152151150148149149149148147147148150156155148148147147147146147145152149149146146145145144142141141142140140140140140140140139140154139140141140140140143142135136135134135139139135138147149150152153155161158160161162162164163162163164165166166164163162162159155155149149152152167155150151151153154156162167166165164166163158159160162162163161157153153153154154156156155156152154151151150152151151151151153150151153153148147149153155160160160157162163164167167166169173175173172173170172171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210210207206206211215215218220223223221222222222221220219220222219221224224225227230232232234237238239239239239241241241240239238237235232231231231238239238238238237232999999237232232234234234234232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196201202999189188181174173173177175171171164161154159157158164167166161161164164166164165166160161162176178172175176187186178179184186189185181175178176177177171174171177179176169171168166162160160158159166165162160163166167165164167171168173162162164163181177171185184186186186188188189191196194195194194195194193194194196198197198196196195193193193187185182181183174178177179182180179179180181180177178177173182178184184185187187187188186184184183181183183182177172172163160159159158158158158159159159160160161160162160159158158157156156156155154154154154151150150150151149149149149151151157157150150150150148147146145146146146146145145143142141143143141140140142140140140140149151139139141139145140144144138137137136135140140142149151153154156159162163160166163160163162163161161162165166167163161160162158154155152154157160154151151151154154154159163167165166165163160160163163160157159157155152152154156157158153154159156157157157157150153152151150153154153155159155158169157164161162163161163165169170174176177178178179175173176176175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212214999999999999999999999999999999999999999999999999999999999999999999999999999999999209209210212215210208212213215222224221226224223223223222224225221222226224230230231231232237241242242242243239240242241243243242241239238237234233234238241240240240240238999999999999231232231229230230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188180178178179178172172166168163162160163162164166170170168167166159164164166166165165169168178177179189181181185186190192189186184176178178178181171174170175175171170163163164163161162160162166164161162165168169166168168173170173171172174168181180181183184186185186188188190194196197196193194189195197196195197197199197197197196195195194194191187187186186180185187188187185173187186185187184173186186183184186187184186188184183184182184183182182181180178172164161160160160160160161162162161163163163161160160161161159159159158157156156155155154153152153153152151151152152152151152151151151151150148147147146147146146145144144143141145146153140140140142141141141150141140142141142146145145139140139138136137139145149150154155158158160163165167170168162161162161167167165162162163164162161164164159157152158157171156156152151153154154164165165164165163163159161164162162154153158153149157155162160168161159156158159159157160158158160160159159159153155159160160161161161166165163165167169168171174178180182178179182183184185185187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217215999999222223999999999999999999999999999999999999999999999999999999999999999999210206202211209219215217213219221222225227223223224225224224225225225224226228226229225228228233232238238239243240242240241242244240239240242238239240237238240241241240242243241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184186192191185183184180174176170171172170168169170167168169170170171171171173180175167166168170164180180177189186178184185185184185186185185183182182173179179179175175174170170170168162163167171166164170169167165167169167170171171173174175175175176177177179179178181184185186189193195195197200202196197196197196196196195193194196195197196194194194192191191189190190190188190191188188190191192191191193190183185185188185188184183186187187184185181184183182183181183179172167164162161161161161162163163163164165164163163161162161161160159159160158160159155156156156155155153155155154153153152152151150151151150148148147147147145144142143155155140141140141141141141142142142141141140142142142146147146141142141139138139144150152155157161161161164164164169166171166161159159159167165164159162163164170165165165163155156156156156155155157156154153163167164164164165164165167167163155151150158161164164159162164163163166157162163162163161162163165165163164164163163167167167166168171170169172173169171173176176178181182185188186190192191193188192 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221219216218216220219999999999999999999999999999999999999999999999999999999999208209212210207208210210216218218220219220223225226225224223222223225225226226227227227228226230230231233234236240241240241241242244245246246246245244243244244242244243243242240240242242236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186193195189187183184179181187174172169165164168169168170164175177177173175172176177168167169166175179181187185187186187188187182180185185184184184183185184176183179177174167167165163164168170170174170171170172167172166168173173174171174175176177179178177178176176179179184184188189195198196198199197195195196197199200199191197188196190197195194194193194195194194193193193193182184184193193196186185194194192190189191192194193191189188188189189185181182181180182182182178175168166163162161160160160162163165164165164164164166162162164161160161160159159158156159157157157156157157157156154153153152152152153154152151149151147148145154154155144143142154153150148142141141141141141141140148147147147141141143140140142144147152154160161161163162162169168166169162169159158159159166165166166169168168170168160164165159160157152149156155157159158161163164166165162164162164171168167163153153153163163165162161164164169167161160164166168167162163165167169170171172172172172173172175174178178174177177183188185177186181180182193194188199200188191194198 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221218999218219216216220999999999999999999999999999999999999999999999999999999211212212210209205206213211223222223224226227228230229227226226225226226227229227228229228228227229230231231234233231237241240243243242244245246247248249248245244244246247245243239238237237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205203199999999999999205202201197194194203194187181178173182182186185175169163167170173175176179182179178177175178178177180177177178179182182187185187188188188181183189187184183182185185186184178181170172171172170171170173175174176172176174174170173174175168169175174174175177177178177180179179178181184178184185190195199200200198199198199195201200202196194190189190195194193193194194194195194193194194194194188185192192186185195194193194193193193191191192192191190185188184187187185184183182183180179178176173169166162162161161161162164164166166166165166166165165164165166161160161160159159161160158158158158159158157156154152153152152153155154153152151147148151152156153145143143142141143141141141140140141142141142148148142141142143144147149149151152155160158161162165163169168167165163160159159158158164165165170156164167167166168160165165164159156153154155157158158162161163164164165165168167167167165161161163164164165164164163163165168168162161167168170174173164168166171175175181180182181182178184183183180186188188187190198188189183189194199199203203200194194200200202 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228221218219219220219216218220220999999227999999999999999999999999999999213219211211215211205207205220214220224228228229229229230231230229229229229229230233233231227228226228227226227228229230232236234239236238239244245246247247249250250249249247247248246242237235232235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204202201201199199201201206204208209209207203200194186182178179181185187188186170170168176179178178180182182180178179180178177180180180180179181181182183185187190190192186189186186181177182184186185188182177176173180179179176176176176177177179179184182181185182179173172174174171171172174177178180173174182184183187188192189200200203199200201199199197198201200200195189191191198188186194193193193193196194194194193193185186185182182189189190190192192190193192191188189185188185186186186186186185183182181180179178176173169163161164165166167169167170166166166167167167168167165163160164165161161160160160159160160159159160159157155153152151153155155154153151151154156152154154150146146144143143142156155141140142142141140148149142146149149151154154153153153155156161157160163171170171169171168164157169157169168168168156157158163166165166167160161163162160156153161158160161166163165167166166169168163169163162163171171162163165166172163167171167170172171169171170174171170173176178186179176182182180185186183184184184187187188190193197202196194196197198200200201201201201199202204202 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229227218219220220221221218219219223224224225220216214999999999215211213216222206201213205211219212222226225220232225225228230231231230230231230231231231232232233231230231227223223223226228229233229235235232236236238237244242245247247251252252252251248248246243239236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205203204204201199202204212210209211208208208209193187186180180181180183185185181183186184182181181184183185184181183183184185186188186181188185186188186187187192189185189189191191190183179182186187187186185183178182179176182180177181185179188183182184184189189187183182180181175179175174174175182184179184184185189193195195196198201201200198204200197201200200202200203198197195198197194195194194194193193194195194194196195193193191191186190190188189188189188187189186185186190188185183185187186186185185182181183181179179177172163167165167167168169170170166167168169169175172174166162162162162162161161161161160160159159160159157156153153155159155154155163162150155154156156156148147146147148143144148148152156143143143147152153151151156154156156156156155155155157158164167171172170168166167161160164157167183175162166164157158159158162167170162166165160157165157160160160162166167165166167165164169172162164163171169168169168167174175165167170171171177173172183173174174180181179180185184174176181185188188187186187191190190191200200199198198200201201200205204203203202201202202210209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221221999999999227226224220218221218219217218218216219214218219219214214209207215214209210211214214215215218220224223230231232232232237235235234233232231232231231232231231230231231230231228231229226227231229231233233231231232234237241243246247250251252253253252251252247246245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210207202202206209210204216219221226225221219216213199198196189183183179175183181186184185186185182184186186182180183193185191188188188190173177191190190191189187187188188181187189192191191190183186182188190189180184185182185184186180183187187187188183183189186187185184188185185185193182178176180176176190193188185190194195199201201201195195197197201201198200201202201200197199198191198193195197197195194194193193193191192193192190188186192191191190183182187181180186185179188187188186183184187188186186187186186184187182180179177174171168168168170170169168167169170170169169172171168167164163163162163162161160161161161160160160160157157155155153154155156155164164161158156154153156158154151148148149149150150155149149150151153155153152152157155159161161156155156157162162166169172169170165166162164166163167163167161160166160156159166167169170169166164167167169166158163164165169170170168169166167168163171165168169166164165163163165167169169168174172172174177181181182179183181183183193191187187187188190189192193191190192198195198209206204204205203204202202205204203206206210211212213211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225229226227224222220218220220224218217216215214219219220217213212211211206215211211213215218219220228228228229231234234234235233236235235235232233233233231231232230230230228229230229230232229226228231231232231229231232232233236238242245247250249252254250248252250248244999999999999999999246244246999999999999999999999242242242236242999999999999999999999999999999999999999999999999223209214211206203207212222223215216220224226221220212205205200198193188183181182186186187188189190189191184182179181184183183186194193194191179185193193196193190189185191190187193195193190188191190185183189188191180186186180180184185184186190188190192190190190188192191190191190197191193187187185187184184186188188192196198201204203204204206198199201198200195200197202201196197200197197198191199194194198197196196194194194193187191190194190191189191185183185184186187185185182184188184179182185187187187187188186185190184181181176179177174171170171172173173172169175173175175169170169168168167170167165169163161161162162162160161160160159157157157157155156157157157161159158156156154154157158155150148156155158150148150156154153153154154154156154155158159160155155157161161164165171172169174179164162165165162156155160161163162163166169168167168172171177175176170169170169165168166171172173172169168174167170170167169169168168173168167166169168174174173174176176179184181181185185183184190192186190191192194194196198199197197196201198201203206204205203204208208204206206207209212213206215212212 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224224224223221220219219219222225226224222223225227226225225217214216217216219223223218219224225231230230231230232234232233235235236235236236235235234232232232232231231231230230231229227229231229229229230231231231232233234235236237240244245246248251253254252249247248246245999999999999999244246250253999999999999242242244243242241240242244999999999999999999999999999999999999999213221221215213208210219222225219219228222225225222227216216217214204202195192191188184185187188191192195194193192188188189188190197195195192192188190190192192194193192196194195194197197195193190188184193187186188192192189189189189190187189194195196197198197193194196197199199200197203192198198195194188193191187191197196201204204206206209213209209207207206205203203203201199197197198199197194195196199197198199198197198197195194193195192190189191190190188188189188188186188186187187182182181186186185191188190189187188188186184183179179177175173171173172173175172173178172176177176176176174169168165167167165164162162163162162161161161159158155157158156156158158159156157158159157156156161162160158151150158156153155155148155157151151152152154156155154157153153153155156157163165166168169173177177175168172168173179175159160181176178175179172171159168168176174175174177173173168166166172170171171171172176176177175174172179181167170171171172175176177174174177179176182184183184187190188193192190184193194198198200200200200204204201203203205205206206206204205206208211209209206211213212212215215210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223225222223222223224222223223225226227227228230229229230231226226224224226226226226229230227234234231233228232233232234232231236237236238237238238237234231233232232232230229229231232232227227223223225226225227225228229229228229233235236237240241248253257257256253251249243999999999999999238242245248252251999244243243243243244242243243243244243242999999999999999999999999999999999218216217216216217218221227226223229229230223228226228213213218217213214209211195197191190190193195192199192193189187193178183186186186198189191194195186186184188194188194188190196198199196195194195190192189185196195195195195194191192185193196198199201201201199201205207208205206204205204202200201197197204202198200200204205206208208211213215212213210209203204208202199201190191190189188189194189193200197197188195198197194189188189193192192188188192191190189183189182187190190188187186186184189187188191191189189190188188186186185184180179177173170171170170171176179180179176176180177176175174171169165168168166166165165163163162162161160160157157157156157158158159159158160158158158156159156157159159158158158153154148147156149149151152152162154154155155154153152153153162164165167171172174174179177177175167175179179177160161176176176169171171160165166168175176176174176170169168171173171173168169170172180177179177179181181180181176180181179180180178176178179181180188186187190190197189196193198198201202199202203203207208204209204207208208208208208208212212212212211210214216214219218217213214 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230231224224224224225223226225229227226228228229228231232232232231232231230230233232235237235234231233234233236236235236237236235234234236238239238238238239239237233234232232232230229229231231231228228229229233232229227226231229230231232238240242243243248249254258259258254250249239999999999999999238241244247250249247246246245244243244242242242243244244243241238234999999999999999999999212212211205215219219215217231235235234235231222229228228227228220226224221219213208206200198191190190191199198189194194202192185183193191194191192194194193195202196197202197190197196199200200199199200194190194195192196197194196193193195193200202205208209210211207213217213211211211211209211207206206204205208209213208209208210215214212218218215216217207207213209211204201200199199197198195197194195188200195196194193193193193193188191191191191187190189189188188183182179179188190192189191187192190189189189190190190189188189188187186184183181180175171175174176177180179180180179180179181180178177175171170166163167169166164164163164164162160161158158157156157159159160163165161161161160164162157161162160164162157159159161157156149150151153161159155155156157158157156162160170159162166166171175174172173178178166177175180176173176175174176172173172168168171173174174173173173174172174177177169170172174175175176179178184181181185185181183182182182182180181180181185184185184187187191197200199197200202205206209205206207207209208208210210210211212212213213213212213215215214219215220220220217216216218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228229228226228227225224224227227227227225226226228232234234235234235235233234234234234235236238237238238235236236236237236237238238234235239239241241241241240240240238235231231232233233231229230231230229228229230231229228224224228227228228233236239238241243247253255259261258999256253250251999999999999999999238240245246245245244243242242241240240241243244245245243241236237226999999999999999211212212213217218218225229235236237238235227233231230236235233233230226225220219218220217209202198191192191191201200210207201203192202203198194188196188195198199199204207201198199199201203203203204202199196193191199197193195196196196196203207209210213215217211223220221223223220215215216223223219213216215219214214218216214214215220220223220225222211216209207212211202202198198197196197194198197202195196190195195193194193192190189190190191191191190191190185189189188182182187191189193191191192190188190191191192193194194188187187186185184182182181178179176177177177180182181181180180181180179177176174172171170170171167168166168169163163161160158158157155158159161161162162162161162161161159161163162164167167167160166165156153154159167158164163154159157158156157156155161158172167166168171174193190184182178169176179176173181180172173174176173173172173172173171173174173175174175182180181170171173174176176179181179185185189187188187187187188186186187186186186185185186185186191196198200200200202203205205210209210209209211209210211211211212213213212212213212214214214217216218219219222218218219219 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228230229229226226222224225227226227228229228229231229230231232234236235236235235234233235235235235238238239240238238237238235235237239239238241242244244241241239240240239236234234235233233229231229230229227227226226224224223222222223224226226226230233234241243246258258260262262260258258258255255254999999999999999999999242243245245245244242243243243242242244248249245244242241237230223230999999212208209215218225227229235237237239240231232233230229238236233230228222224227222222225224212208204195193198201205200203210208199195198202193197197198203200201203203203203203203202201203204201201201203199200201199198199200201197200201203209208210215209215218220221221222219221222214218217221220222223218218218217215216217215215219219221223225222222218219218209212210202200199197195193195196195199197197196195195192193192193191192190191190192191191189189190189191189189193190194191188193193194194192190194194195193196196196197194190188186185183182180179182178178179181182181182181181182182180178177176176175174172173173172173172167166167166164162158158158158158160160162161162163163164163161163166165165168167167172169167166164164166171176176155156158157157158158158160159165169174173168194182186196190188184179175175173173174175174172170174174172172174174174174173171173173177178184182185182183184177178192186187179188189190194193190190190190190191189188185186184188192191196196195201203203202206206207209211212211212212211211211210210211212213213212214214213213213214216216217217220218221221222222221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227227228227229225223223223226227230229228231229229230231233233232232237237237237237235235237237236238238238240240238239238239236236240236240239240242244244242241240238240240237236236236237234232232232232230227228229228229228229227227227227224230236237243245247253255257260262264265266265266262261259256999999999999999999999999245246245248246246245245245241243244248248247242245242240240234230223220215215211219224232234236240241240242240240240239237240239237237234234231233232230229228228225225221216210205210205202200200202210209211201206206199198202201209212210212207207212211204197205206206206203198201201204198198202203204207207211213213216220221223223222223220219218218217217218220215213218214220220222223224223220219225222223223223223223222218217216209215211203202202201197195200195193200197192194192194194195195194191192190190191191190190190190191191191189187191187196194194195195198199203197199197197198198197199194199197192186185184183181181179181179178180182182183180180182182180179178177176175176176177178178175172172167167167166165164160158159159160161161162162163163164164166171172173175177180177185182184183179175175179177179173159166166166166167165164172181173188182188191193194195186188182180183180179177178177172171174177176176175174175172173172171172174180185181183191192187188186175191188191190191195200198199199195194194194195190185191191193195197197199202205203205205206209210211212211211214211213213214214214216216215215216216217217216215215213215216218221221221222222222221222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236231228227228226222224226226229229231231229229230232232233234235235231234229233238237239238238238239240240241239241239239240241236240240238240241242244244245241240238240240239240238238237234235233231231231229228227230227229227227226226228230230235238240244245249256258260262265267268269269269269265260256999999999999999999999999999999999249250252252251248249249252250249250249247246240245241237221222218217215222226232236239242243241243242241232236232239239237237237235235233235231233233231230227225221218207209209203201202205212213215214212208208207212211213216216220215212209208205204208209207209206201202205207205208210207207209210214215216221222225226218222220218218222213208213215215214215215217217219220222223225216220222226213218222220222220218218216217214207204203203201202201198193198199197194192190194197196193191193190193193194194193191191192194194192193193190187197192195196197199200202198201198202202203203205205203198198194191185184183182181181179179180183183182182181181181181179178177178178181181182183183182176173169168170168173166163163162162160161161161162163164167169176178177181185184185188188189192187187184181177185183183175168168171168168169179180182183182183184191183186190184191191185186188186185180180174175180176176177175176174176175175175179182180183186189191191194195190189189191196198202202203204205203200197198193194196195195196198200203202202200206208207208211215214215216216217216217216216216217218219218215215217217217217217216216216216219221222221223224224223223221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232230232234232228225224226228230230232231227227231232231228234235235236236237231237237238238238239240240241239241242241241241241241242243242241242242243244244244242241238238239241239238240235234233234232229229228228229232228226225225226228227230233237242243246251253256259262265267269270270271272272269262257999999999999999246247999999999248250255254257260257256251249251251252254252251249243240239232224219222220226235237240242243245239244238238235239238242240241237235235234233232234235234231232231228226223216211210206209207213216214215217218215216213219218218218216217215212213214203210207206208210210208202206208208208209209213215217217217219225226229226216222220220222221220215216216215213212214215219216218218220218218216219223222220221221220215216218216215212205203202199202200203196205206196196194196194194194197196198199195195195194195195194194193194197195196200197196200202206203200200208206204205205207209211213213211208202204201197192190187184182182186181182184183181181181181180180179180182184185187186186187184182181179177173174175176173167166166163167164164170167166168170174177178183186189189191191192192192191190187188186187185189184180176175174174175181181182182181181180191180184188189191195186188188194185182180180179182179179178177176177177177176181179180179184183188186194194194192190194202203202203205207206204203204203204201201203202204205207207207208207210209211212214214216217217219218219219219219220220219220220218218217218218217217217216216219220220221223223224224223222223222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237231229229231231227225224227228228231232233231231230230233233235235236236238238238238238238240238239241240242241243242243243243243244246245246243243246246244244245243239239241240239237235234233233232232230229228226226228228224223221220223223226228231233239245246246250258264260269269271271273274273273271265999999999999255256256258260258259259259260260264262262258255244245253253255253247253242242235226219220227230232235240246247246243242235237239238234234239241239236233232233234232234233234229231226222225222217222217215214210214205209209214216217218217218219220218214213215212214209213212209206204203210209206210212212210210214215218217219219221228229228225222220221221220220216217217216215212212215215218220216218217222216220218218222219224222222221219218215216211206205203203207206203204207206203205200200198197201200200198200198199205200198198199199196198200202204202203203206206208208211209215211211212213218218215215215211209208210207205201196191186186185188182182182183181181182181182186187189188188189189189189189188185183183182181174180179171170170177178182176179186173176174179183185187188190193195196198197196196195194193193194192188191187185184183181180180187186185184183185185185187187189191195194188197196195190184183184183183176175178172178178177180185182182188183185185185187192196193198200205210208200202210205204204207205205210205205206206208209209208209208210210211212214215217219219220221220221221222221220220219219220219218216217218216217217216219221221222222224224224224223223224224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233230229231231228224224227229230230231230233234237234233233234234234235233235233239239239238239240241242243243244244244244244244243246247246245246247248248248247248246246244244245245243242242240239238237235234233233234234233233231229227230232232234241245247248251255259259259265267271272271272274273273272269999999999999257261262261261258259258258259255256260260253254246250247249251250253248249242235226224232233240241242242244244249248247239238236240242242242242240236236237237234233230231232234236230231225221219221218216214212216216219214215223224226226230231229226222223224223218211215213212212208208211212212206213214213213214210219217223223224229229229223223221221222222219219218218218219212215217215216216217220219217219222220221218221222221219223217218214214212212211209208206207207203205204209202204204206209209213204202203202203204205203206204202200206204206204207213207214212211214216217217217218219217225222226222221219218219221214210208201198190185189188186183183184183183183185187190190191190190192193194195194191189189187183183178175175175178179185182179181185183179185180183187190193192194199201199200198197198199199198196195195194199191188186187186189185188186188186183189189189189190192193193192191196194187185184185187186182181176174173173184186184186188188189186184186189191194198203205208212212211206204205205205212210211212210209209211212211211213213212213213213214214216217218218220221221221221222223222221221219218218218218220219220220220219219223222222222224225225225226226226226225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234230227231226224223227228230230233235234236236235235235235231232236234234236236239240240241242243242243242243243243244245244244246247247248247248248249249249248249248248248247247246245243245245243242242240240239236235235233234234234231232232234235237244244249253257259260262264270271275276275275275272272270267999999262266268267264264999999999256256252252252250254251251250250250252252251250247243243238234238242243243246248247248252251249241238240240242244244240238238238238237235233232232232230232233230228223223222218217215215218220213215218221222224231231230227224226226221224220215216212214215212211214214215208210212215218218213213222226231232230228231227227225221218220221222221220221217220217218218216215217218218218221221223221224222225220222218220215214211210210213209211210213216215214208209213211212215213207214212209210210213213213215214208209211209211208208213214215216216217219218218217218221221226227226220220223222221220220216213216211202196191189188189187186185184184187189190191191192193195197198198201198201204202193187186182181181184183177178182186184186191189186184188193195199201199203204205204204203201199200203201199199197196194193191194189194193188188193191185194194195196197198198201201193189189186188188188190188184182180176176177194193191191192190189187190192195200202204207216216215214212210206207207205213211214217216214211213216210213215216216216216216216217218219219220221221222222222222223223222222222222222221221222223223223222222222223224224224226226227227228228227226224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226226226225225223227229232230232236233236236237236237238238234233231235236238240241244244246245245246246246246245244244245245246246246246247247248248249249250249249249249249249247245246244244244243240244240236236235232230231232230231228227228232234238240243248249256257260267268274278275277276274274276275273269271271269268269268999999999999999999253252253251250253251251250252253253253250248242243241239243245241244244246248254253251251240245240240242245242240237238239236235235232231230232230234233230227224224222221221215215220212215218218219222221228228228228227228230226224218216218218216214215217218217215216217218214219219222219223227231233231232229227226227226224223223220220220222221220218219222216222222219221221222222224223221218222223219218214212212210212213211209211211208212209209211217218217215213211213217214217216216217220216215220218212214215211218220220218216219218219225221223224221220222225226226224226227223224221218218216216215209200197193191193194190189187189190192192193194196197197200203202205205204204202201201198192188196201189187191189185191192191192193187191197200201204204204206206205206210202202202204200203203202203196194197193190189198198198197197200194199199199201202203203203196194189190190193194192190186185185180183184185186186187192190191193197201201202205205211216218219216213209212214208217215213215218219214216216217217217218219219219217219218219220221221223223223223224224224224226227226227225225225226227226227227227226226225225224225226226227228228229228226225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225223225224223226223229231232232235235235236236235236237239239239238238239242242242245245247246248248248248246246247247247246245246246244246247247248248247248248248250250248249249248247247250251250249248248247246244243241235238238235235232234236240241243247250254258262264267269273275278278278278280280280280279279280275266266269268999999999999999999255252253257255254253253253254252253251248245244245239243245246246246253253253256254252253250248243243241243244241241240240238236234234231235235236236230229228226226227225222218211214220222227224230226226233235234229227230227229222219220221220218217218219220219217218218217212220220221221227228230234236233235233232227223224225224225225226222219215222222221222220220220221221222221222223223222223220219217217213211209211211208212210209212216217212212215218218218215215215216215217216217217219219212220210212219219217219221220219217217220226223220226222225221223227231231229231230227225222219218215216218214204203198195195196197189191190193194196195197198200203205206206209209207208206204205203201198201206201195194188185188187189189194195196199202210208206206206208207207206204204203202205203203201205197198200194193194208207204199199206200201201200205205206206206202194194195193197195195189187193193188188187188187188188193195195197199202203205208211214219221220218217213210216216216215217217217217217219219220220219220220220221221220220221223223223223225225225226228228228231231231230228229230231232232232231230231230229229230230228228228228228228228226226 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228224224223222223225229234233235235234236234233234236237239239236233235237243244245248247248248248249247247246247249249249248246246246247247247249250247250250251251250251251251252252251251252251250249249249247246245244242240239239239238238237238241245246249250254258262265268269272276279280280281283283282281281280280999999999999265270267267267269999253255251255254252259254254257255252247249248245239243243247247249250251251250257255253256253252249243243244245244244241242238238237238238237235235235233231229227235220217223223220219223224231228227228224224236234233229232231222223225223221220219219218217221218222220218217214224225223223227229233235238238234229229224225225224224229227227224225224221221220223221222223222224222222223223222221220223217218217215214211211215213214213212214212211211211217214218218218215216215215215218220219223219220221221223222222223222222223219218219224223223227226219216220223227233233233233231228226225221223223217219214211213210203200199198192192194195196196198201200201203207210211210210210212215214210209207208207203205202199196193192190193195197200203204209211208208208209208207206205204204206205204202200201204207209204204203205212213206206204209211208203206202206207204210204199198196196197198197196196195196191189189190192195195198195197201203203205208214213214217219219218216215218217218215217218219218218218219219219219220221221221222222222223224225224224224225227228230231231232233234233232230231231233234234233234233233232233233232233232231232231230229229228228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223223223222224226228231234235236236235234236234236238236239235235234236239244244246246248249248250249247246245246248248249247248247248248250251248249249250252252251251251253253253253252252252252253249250249249248248245244243243241239241240238243243246249251253256257261264266268272276278279282283283283282281280278277999999999999263268265263268254999251251254260258257260260254247253247249242246247248246243245246248250251252254253258254254255254252250244244245242243242242242240239238238238234234231232231231223236221220221224223220224226224228228232232238237230222230232233232229226225223225224223218218217223223217220219218225226230226229232233233235241236233232226226226227229227227227226227231224224222222225224225225224223224225225224220221222219218216216218212215217216215212215214212210210211214213215215214216217219220219220220219221223222224224223224223219222225222219219217221222222217220220218222223224229232233233230230228228222222220220221219215215212212208201200195194195197197202204207208207207209214212217218217217215213214211210210209208206206206203200202205204199201204205209208210213211210207207209207207206204207204204201203202209211206213211209206209204205206209208209209207208208208208206210205201201200202200199198199199197197196194198199202201201203199205207207209211216216215215214216219219220220219219218218219220218218219220220222223224221221221222224223223221226226224225225227228230231232232233233232233231233233234233235235234234233233234234234234234233233233233234233230230231 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225225224224226229233233237236236237236237236234235238239239238237238240240244245248248250249249249247247246246246246247248249249250249251251252252252252250251251252253250252250250249249249248248251246249246250248247243243244239239239236236238239240244243246248253257258261262265269278280282282283282282281279278276273999999999999263265999261264999999245245252255256255253255253251246254245247249252247246243244246247249251248246251252247250251250249249246242244246244245239238238238237237236227227231229229228226225219225224221225225225234236232232233235237236231233235236234233231233230228230230229226227225228229225227227227229228229229231231232237232237241241244232231228227227226225226224223224223223222227227224223224224223223225222222222224221219218217217217214214215215214216213211211211212212213213214216219216215220220220216217218223225221222222222225222221223224223219221218221224224220220220225223224225229233235234232232230229224223223224223222218216214209210204201198196199200200202206208210209212216216215216218219216215213216214213212212209210211209208204205207208205203209209210211213215209207208207206206205205208206204206198202209211215212209214212210208207210208209210210208209210215212206207206209209207201199200202200203201202199199197202203204200206207207208210211213216216216214218218220221222224224222220220221220221218221222221222222223223222223223225225224225227226226227227227228231231232233234233233232232233233234234235235234235236236236236236236236235236234236235236235233233233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251248247246248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224227226230229232234234235237239237238238238235236238238236239239239238240245245247250250251250249249248249248247247248249249251251252252253254254254255253253253254253251253252251253253253254253254253252251250251250252251252251247246245245248247250252251257257260263264267269270273277279281282283282282280278276273271999999999999999999999999999999999246248247252251252250254255253255253253249251249246245244244247249253252253256255252255254253254255253250244243243245245244244243240239240239232236229231230227222226225223216217222226226236233231232239230228230233239239239234236234234234232233235235234233232232233229232230233233232233237236235238239241241243242241235242236228228227226227225226226226227226225224225226226226225225226225222224224223221221220220217220220221221219218217213213210213214214216214216218214217217220217219221221222222218218221222216224223220221220220223218223226223223223226229225225226229233236235235233233230227227227225225225223224215211213210204200197202200202203208210211212213217219218220218219217217216215219216214216213213209211208208209210210209210206211209209210209206208209208207207206206208205204211203206206208210211210209209207208208210209210210210210211215213208209210210212212206203200202201201201199201203202205206206208208209210211212212215217218218218217217220221223225225225225224225224222223222223223222223224224225224224225224225225226227226226228227229230231232233233234235234233234234234234236234235236237237238238239239238237236237237237238238238235235234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249252249247246244242244248249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229233230228226226231231235239237237240241242242242240237239241240240240241242243241245246248251252251250250249249249249248248249250247251252253254254254255255255255253254254252253254253253254254253253254252252253251252252254254253253251249249249248251249249252253259260262264265267270273273277280282282283283283280277999999999999999999999999999999999999999999246248251254255253256256252252247252252246250250246245243245246247251251251252254251255254254256256252248248244243242243245245243244240242240240235229231231227220226227220229229234230226241239239238240236236236243235244242240240238237235235236238238240238234235229232235234235236234237238238242240241241239243239237232235234231231230228228229229230228229228227227227227229229227229227227227227227225224222222223224222223222223222221219218216211215218219218218218218218216222217218216223217217221220220219220216219224221221220224223222223223223221224226228226229229231233233233234235234232232230228227227221222221216212214211206203201202201202204208210212213215217217218221222217218217218220219217217217216214213210211211212211211211210210211211210211214209210212210211209206210210208206209213212211210208208208207205206206211212213210210208212211212210212212212212210212207205200203201202200201202204205206209209208211214214217215216219219221220221220222223224226227227228228225225224225225223225225225225225225225226225225226227227227227226227229230231232232233234233234234235235235236235235236237239240241242241241241241240239238237238239238237238238237237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251251253251249248248244241248252252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229229231232232230229230231235238239238239241242243245245240239244244244243243244245242244247249251253252252251250250250249249250250250251251252254254254254254256255256255254254254253254253253253254253252253252252250252252250251253254254252252251252252251253251251256257259261262264265268270273273277280281281283283283280999999999999999999999999999999999999999999999249247251249254253254254253254251247251251251248244241247246244245251251249249248250250250254250251251250249248243242243242243244242240240235235232235231229225222223220223232229230228238240244243242242241244244244245242240238238238237240238238238241241242240237237239239239239238240241240240242241242243233240242241245237233231231231231230231231232232231231230231232231232232232232230229229229229228226226225223223221224219220220220223220215217219220221218220220219223222220218219222221218219220220220221222219219220219222225226224224223224222224227229231228230230231232233234233234232231233230227229227222230226215221218212207205203201200203203206210212214215218221218219219218219219221222222222223222221215215214213213212211212212212210213216217217217215215216220220214213214213209215216216215212210210209207210207210206212213212211211211210211211211212210212212212209210207205203203204202205206206208210213215216219220220221221225225224227226224225224225225225229229229227227226227227227226226227227227226226227228227227229228227227229230231232233234235235235236236237237239240240241242241242242243242242242242241242243242240240239238238238238238238239238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251251251252254253251250248244249250253252253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237235234233232231233236237240240238242242242243244240246243243246244246244246245246248249251251253254253251251251251250250250251251252253253254253254254253254251255254254254254251250251248248249251250252251249248247247249248250251248247248248252249250250247249251254254257258263264264266268267276279281283284285284281279999999999999999999999999999999999999999999999999253255253252252252252252252253252252252252250250250247246246244244253244252256252256255254253255253249252248242243243244244244243243234236235235231232229231231230238235235237239243247246246246238240243244248249246245244243244241240238239240241243242243240242242240241242242243245243244242243245244241241244239238238232234231232233232231234234235235235233234235236238236233234232235237230233232232229228230224224227225223220221222219215219222222224225222222223225227223222223224219219221222220222222221220224216216220225226226223225226225228230231231228228228229229232232235233232233233232232229229225224231232227218216213209206203205201205208211213213215217219220221222221222222226227225224224223222218213216215214213215214215216214214218217218216216215217217217217218220217214218221219211211214212212210211209210208209213212212210211211209212212215211213214212210210208206206205205206206206208211214219222224227230229226230227226230233234230230229230229230229230231229228227228228227226226227228227227227227229229228229230230229230230232235237237238238239239241241242243243244245245245243245243242243244244244244243243242241240240241240240240240241239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249251253251251253252250249245250253254254253252253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235234237233236235234232234236238240240241241244243244245246246246245246245246246246245243244246249252253254254254252254253253253253253253254255255255255255256256257256256256257255254255254253252253254256256255256256255256253254255256256255256256257255256257258259261262263264265266267269270270272274275276280281284285286287284283999999999999999999999999999999999999999999999999999254252251251254255253253255256256254249253254247244246245245251254253258257258257254253252253254254254252250246240238243244243241240237236236237237233229229239240238245242245247247248248251248250249251249250247247246246244244247244243238251253246246246246246244243243243244245247246247247247247241244247249246241234235233233232233232236234236235235237237236236235234233235232232233233233228230230230229226225230227222223223221223219219224224222224225226225226226224226225228227223223223223221221221220219219219220223223224223225226229230232231230228228229229231231232233231232232233235235235235234235234232231227220218213211205204204204207211212214215217216221224223224229229225226227224223223222220218218216215216215216216216218217219219222218217217219221221221223224223221223222218214218218213214214214213212211210210213212216218216215215214215213216213213209212211208208207207208209211216219224226227229229231232235236234232245234236235236235237233232232232232230230230230229229228227229227228228227228230231229230230229229231234235238239241244244243247244246246245245246246245245244245245246244245246247244244244243243242241242243242242242240241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250251251250251250253253250246253253253254254253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245240241239241239236236237236235239242240242244243243243244246246246246247244243243243244246245246246250252253255255253253254254254254254254255255255255253256255257257258257257257256256255255254254252254254256257257258259258258259258258258259256257257257258258259261263265266268267268269271271272270272269275276281283284286286286286284999999999999999999999999999999999999999999999999999999250251251252254254256256257258254255249251250249245246244247254255256256255254256253254255255253253254254253249244242242239240238239239239235237244241238242241242245247249249248250250248254254256251251248248248247247246250250248245240246248248247249246247246244244246247248249249248249248241242242243243249240238235234235234234235235235237234235237236238236234233232233233234233234232230227233230229228227228228223224220222221222224225223223223224225227227226225227226226227224223222221220220220221224223220223223221223222227228230231230227229233230231230231231230234236235232233239237238237236239235235238234227223218213209205206205208211212213215216218219223225227234229229224226225225223224222219218216218219217215217219219218219220223223221222222222223224225224225224223221218216216216218217216214217215215214219215216215217216215215216216214214212212213214212209210211210212215218221226226228227229230232233236239234239240235237238239238236235235233232232231231231230230229228229229229228229229229229230230229230231233234238239242243243248247247247247247248246247247246247245246246247247246247246246246245244244244244243243242242243242242243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247249250249248250252253253251251251251252253255999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245243243244243242238238238238237238239237237238242243244243244246246246247247244244246245245246248246249251253253254253253253252254250253250251252253253254253254253252255255253256255253253253252253252252251250253253255254254256254254255254254257256253257258257258259258264263268265265265271268268267267271272275278281282285287286286286285999999999999999999999999999999999999999999999999999999248250251255256256257257258255257253252254251249247249250252254255253253251255252253254256254254253255256255254253246243244244241241241237232237235238243242243243245248250246250247251252250254252252248251250252250253252251249247245249252250248248248249248247241250244250251252249250249249248249250248248248245241237235237239236236236238242240238238239238238234234234235234234234231230234229228231230230222229227221222222223224224223220223223223224224226226228227228225226226225222223221223225225226226225222223222221223221223226232231228229231233232232230231231233234235235233239240235236239239241239240239237233229223219212209209209209210214215219220222223225227229235232230226228229228224223222220221217218219217217219219220219221223223224224225226231231229228224226226224221220219223221220217222220220222222221220217216215215215214217212211215216215215219216215215215215216218221223228226228228228230231235237235236237239236238239239237241238238236234235234232232232230230229230229230230230230230231231231231233233235237238242243245247248249248249249249248248249248248248247246246247248248247248248247247246246246244244244244243244243244244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246245246248249249246249250251252251251250250250253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248247246246246244241238239240239240241243242242241245244245244244246246248244245245244244245246246248250250255255255256255255255255254256256255256256256256257257257253257257257257258258256258256256255257257259259259261260260263262260260261263261261262261262263261262264266268270271272273272277278279279278277276277278279281284285286285286286999999999999999999999999999999999999999999999999999999999251252255257257258258259259260259257257256251250250251252254255255255255256255254253253256249254255256256258257257251240243243243240241236238240246252245249251247256256249256256254257256256257255256257257257256256256255252251256258255253251252251251250248241251253259252252251258257249249247251250250249247238241241240241241241242236243245242234239236236239239234234234236236236236235235236235235234236236232230228226225223223223222223226228227226227228228228227227227221226224225224224224224224221224225224223223223222224229230231232233235235234232232231231232234233235236239239236237239238242242242240239237234231224219214212212212214215219221221223224226227228230232234234234232229227224225224223226221219219221221222222228227227227232227232230232231229228231230227226225225228225224225221223224224223223221222220221217214217216219218216217217216217216215218217219221223225228229228229229229234236238238243241243240244243242241243242242241240238236234233234233232231230233230230230231231232232233233234236238239241242243244246247248249248249249250249249249249249249248249248249249248249248249248249248246247246245244245245245245245245245246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249247246246245244245247247247246248250251251249249249249249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240241245247247246245245245241240239241241241242243245245245244245245245246246247247246246245245246245247247248251252256256257256257257256256257257257257258258258258259259259256257259259258258257257258257258260260260262262261262262262264262261261263263264265264264264263264265267269271273274275276279280280280281278277276276278277279282285286285284284999999999999999999999999999999999999999999999999999999999252257256260258261262263260261260260260259257254255255253253255254255257255253255258258257258258257256256259258257257254254246245243247241242243243253251253248250258251250251254253253256258256257257258259258258259259258253253259262261257257257255254252247247250252253252253253259252245253249251252251257245245244244242243242243242244242241241240237236241240236237238237234242243243241239238241238238236235236236231227225225225226226226226228229228228229228227227230226230228225223222222225225223224225226220219226225223227229231232234235237236233233233232233234235235235235236237240236238239242245249244244237235231227224221219215216216217220223223223223225226228228232236239238236236231229229228228226224223224226227229228228231232229233232234233232233232232233234231231230230229227227224224223222222220223222224216222219218217219217221219219218218218219219219220225225227229231233228231234235235238239240240241244244246246244241243242243240241238239234232234234233232231232231232232233234235235236237238241242243244244244247248249250249249250250250249249250250249250250250250250250250250249249249248248247248245245245245246246246246246246248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249248246243243246246245243242244246244245243248248249248248248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247244243245243243244244246247247248248245241243242242243243244245244244245245245246246247249247248246246246246247249252253254256256258258257258258258257258258258259260260261261262260262262263263264261262262261260259259261261262263263264264264263264266263263266266265266267267268267269270271272274275276277281279281280281280277276278278277276280282285287287999999999999999999999999999999999999999999999999999999999999999999255255257259262261263263263263262264263262258259263261259258256255256253254258260262260259258257257258258258259261257263256252250248250251250248253259255258251260259251259259257256260260258257259259259259259260259259257254258263263258257257257256255252252252253251254259260259259253255257256257254254250247245249246245244244243241246243244243241244245245237241240241239240241238237237236237234236235235233234233230229227225227228230232230232235231230229230231231229231230227228228228226223229227228223229230233230229229230230232233231233234233233233233233235234235235234234234236237238239245247251250249244244241238230227222218217219219220224226225224225227229230233236240242240239235233231230229229227227228229230232235232236236231235233236234236234235234235234233233232232232228229228227224223223222221221221218221221220219218219219220221222220220219221223227228230231232233232233235235235237240243241243245246247247248247245245244244241242242240239235234234233233233233234234235235237238239240242243245247246246247248249249250252251251251251251251251251251251251252251250251251250251249249249249249248248247246246246246246248248247248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251251248245244241243245246243242238243244241239241241244248248999999999999999999999999999999999999999999999999999999999999999999999999999999240247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245244244245245243246248245245248248248249249246244242241243243241241242240243243244245246246247249247248248247246248251252251254256255252255257256255255255257257254255257261262263263263263262261263261262260258258257257257257257258260260261264265266264263264263263264265265264266266266269269269271272274275276277278278279278280280278277275278279278281282283287286285283999999999999999999999999999999999999999999999999999999999999252256257261261261263263264259259258261258263261257258260261257258254252254256257260259257257258257257256257258263267262261255253254254254252251256254254253255261262260261259259259261261261261260259260259258258256254252258259262261260260259259258258256255255254254254255253251253254248252255254254254257254252252251252250248247245244246246248249249251248238242241241243246241242241239237241243242240241239238236233232231230233231232233234232233232231233235236236237235235234234232233230230231228226231230230229227229231231232231234233234235235232232233233234234234234233234234234236240241244248251252253249248249246242234229224222221219220225226226226227229231232234237242246245245241237235234231230229231233232231233236236239236235236234236237236235236236237237236236234232231230231230230228225223224223224221222222222222221221222222223222221222222221224227230232234233233233234235235235236239241242242245247245247247247247247247244243243242241240238236234235234234234234235234237238239241243244244245247247248248249249250251251252252253252252252251252251251252252252252252252251251251251249249250249249248247246247247247248249248248249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252250247245244243241244245243243241240241243240240239240244248999999999999999999999999999999999999999999999999999999258256253250257256253255253244249250248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245246246246241243246244245246248248249248250250249246241245242244244244244243243244247247248247249250250251250249251250253253253256256256256257258258257257258259260261263264266267267266265266266266267266265265264262262261261261261263265266266267269269269268269268267267269271272273274275276275276277278280279281281281281282282283282282281281280280280281280282285287285282280999999999999999999999999999999999999999999999999999999999254256258261261262262262263262263266268269266266265264266265266265263261259259262262258257258258260262256264267273274270266264263259253259260260265262264260254266267263262264266267268268267267265266266265262260260260259259254262260261262258257256260255256257255260260257260261260259256255256256258258258257254252253253254254252257250249250246253252254248247249245243248248247244242239241244241241241242237241240236233236237234234235235235233236235236237237237238238238240238237235234234232232232233233233235231230232234233234235235234237235236234234234234235236235234236234235235237241243244245248250254255251251250247242236229226223220224224227228229229231230234236237244246247243242241240239237237234233235235237238239240239239240239239238238237238237237236236236236235234233231230230229228225225224224224224224223223223223223224224221224223221223225225230231233234235236235236235236238237238238240245247248247248248249249248247246244244243241241240236234235234234235235235236238239241244245247247247247248249249251251251253252252252253254254253252252252251251252252252252253252252252252250251250249249249248250248248247248248249249250251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254250246245244245244243244242242245242241238240238241239239245248244999999999999999999999999999999999999999999999254254254256254254255254251253251248248249251999254262999999999999999999999999999999999999999999999999999999999999999999999999999999245247248246246243244246247247248248249249250252251249248246245245247245244244244245245247248249251253250252256253252254252255253255258258258258258258258258258259260262264267267268268267268267267268268267267265265264263263263261262263264266268268269271270271270271270270270271272275276276276278277277279279280281282282281282282283283282281281281280281281282280280283286285284280999999999999999999999999999999999999999999999999999999999255254256260261261261261262263260263268269265269266268267268267267266266262259256259259260261262263267268268269272271271269268267266263265267268268268267270269267268268267270270272269269270268269269268268265264264256257261263262259260261264263262261260260266260260259259255262262252256252252259259260258255258255255255256256257257253258252251250259257255250251250250251248247247245246242239239244244237242238242241237235238238240236236236236236233239238239240243241243244243241239236235234234234235236234237237236236234234236236236237239238237237236236237236236237236236237236238238243243245245247250251255250252251251246241234230229223223225226229229229228231234236241246247245245244245246246244238237235237236236240238239241239240240241241239240240239238239237239238236236235234231230229228226225225225225224225225225225224224225224223224222223225228229230229234233236237236235235237237237239240243246248247249248248248249248247246246245243242242239237235235235235235235236237238240241244246246247247247249249250250251252253253254254254255254254252252251251251251252252252251251250252251251251251250250249248248248248248249249250250251252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249245244243245245246246244244244243241241238237236240241242999999999999999999999999999999999999999999999258257255255254251250251250245243245244246244244245247248252253253258999249999999999999999999999999999999999999999999999999999999999999999999999249248246245244246247245244246247250251250252250249248248247247247247247246246246247247249251254256253253257257258253252254254256258258259258258259258258260261263264266266268268268268269269269269269268268267266265262264264263263264267268268269270272272270271271269269271270272272273274275275279277277277279279282283284281279282281280280281281281282282282281282284286286284282999999999999999999999999999999999999999999999999999999999999252254258260260261262262260260264266266259263265264266266265265263267264259256255261262262259262262263266271272268268268268270268267267269268268268267268268268270271268274273274273270270270269270270269269267266265264266268265266266265265264264262261260257254254255254251256257257257256257255260257261258257257257257258257255254255253253252252254254251253253251251249248246247246243242240242235240233235236238238233234236235239238239237237237239236241240242240241239240238238238234236236239239236238234237238237237236238237236236239240236238238238238238238239239238238239239241242243246246247247248250251254250253253246242238233231225224227228229230231230231233238242246247246249248247246247245241240240239238237237238239243242240240241242240242241241240239239239237238237237235233232229229228229226226225226226226226226225225225225225225228228228230230231233234235236236237236237236237238239242245246248246249248249249249249248247247247247244243241238235235237236236236236237241241241243245247248248248249249250251251252252253253255254255254252252252252251252251250251252251252251252251251251251250249249248248248248249250250251251252254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245243242245246247247248247246246243241240236236235240241243999243999999999999999999999999999999999261262258254251251251246245243242241241241240239240244243244246250251253251250243999999999999999999999999999999999999999999999999999999999999999999249249248244241245246247247247243246247248250250247246246247250249249249247247247249248251253253255257257257257257258257254255256257257256254258257258258259259257263265264267268264267269269268267268267267266267266265262262262260262262266266267267270270271273273274275275276276276278278280280281282282282283284285285284284283281281281283282282283283283283283283283285287287284281999999999999999999999999999999999999999999999999999999999249252253257260261262264264264267270270269269268269270269269269267268268268265262262263263265267269270273274275274275275275272272272271270272272272271270272272272272273273273272273272272271271270270270269268265267266269268270269268267266266267270270269269263262259258257260260250254255250251256256260260257262263258260261260259261261252256256256257257256257255253253251251249247249248246246247245241241241241240239243243242242242242239240241240240241240242245246245245242239246245244244242240239237235237238239239238239241237239240241240239241241242240240241241241240238241243242243245246250249248249249252253254251249248243240236235233226228229229230230231234242244245247249249250250248248249246246246244242240239239238240242243242241241241242243241240241239239239238238238236234232232231230229230228228228227227228227226226226226227228228229230232232233234234235236236236237237238238238239240242246245246247249248247248248248247249249248247245244243238236236237238238238237238240242242244246247248249250250251251251252253253253255255255255254252252252252252252252251251252252252253253252252251251251250249249248248248249250251251252252255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247244243244246247248248246245245244242241239238236237239241242243253252257245999999999999999257259259256251253253251251248243242245241243241234234237237238242241244247249249248248246247999999999999999999999999999999999999999999999999999999999999247248249249245242246245247247248246247248248248249248248248249248252251251249248250250251252254256257258259260259259259259259259259258260260260259260260260260261262264266268268269270271272272272272271271270270269268268267265265264265267270271272273274275276276276277277277277278277278280282282282281281283284285284284284284283282282282284284284284284283283282283283284286286284999999999999999999999999999999999999999999999999999999999250248251255258260261263265265266267272271270271270271270269270269268269269268268265265264261263270271275276277276274274277274270272272271272273273273275273273273273274272273274274273273270269269269269270268268268268267267269270270264261263262269267266265265264264259261258258259258251258252253255257259259260262263265264263261265264258259256256257259258256256255252252253251249247248248249249247241240242244244244245244242243244243242241241242241241242243246247247247241247244246245247243245242238238240239240239240239242242243242244241242242244243244242242243243244243241244245246247247250252253250250251252253253252248248247244238234230228229228230231234241245247248249251249251251250251250249248248248247246244243240239239242242242242242241243243242241241239239238238237236235234232231232231231229230230230228229229228228229228228229229230230231232233235235235237238238238238238239239239239242244246248247248248249249249249248246249248247247246245242240237236237238239239239239243243245246247248249250251252252252252252254253255255256255255255253253252253253252252252252253253254253252253252252252251250249249248248249250250251251252254257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248247246246247247247248248250246244243240240241240237237239241243246250254256999999999999999254253254254251246250251250249246248248249246247243237234237238237238240242244243245244247245251999999999999999999999999999999999999999999999999999999999999247249251251250247247249247245247247249248248249249249249249250249251252251251251252252253254255257258258259260262262262262261260261262262262262261261261261261262263264267268269269272272273273273273272272272272271269268267266266265267270272274275276276277277277278278279279280279279281282283283281282283284283284285284284283284283284283284284284284283283283283283282284286285999999999999999999999999999999999999999999999999999999999999247248251255258260264264266267270272272271270270271271270271270269270271271269268266266268271273275271274275277274275278277275274272271271273273273275274275275274271273274274273272271270270271269268270269270269269269268266266266269261263258264270267266266265265260259259259260261262259260260261256258260261260262264265261262266263259257257259261262264260258256255251254250247246249242249250250246245247244244246246247245245244244244242242241243243243244244247248248249247246245246246246248245245240239242241240241242241242243245247244243245246247247245245246247248248249249251252253253254255254254256255253255252253253250249250245242240231228228230233238244247249249251252253252252254251252253253253251251249251251247244242241242241240243242242243244241242241239239237238237236236235233233232232232231231231231230230230230230230229230230231232233234235235235236236239237238238238239239240240242245246247247247248250250249251250249247247248248248246245243242239239238238238239239241244245248248248250251251252252252253253254255254255256256256255254253253253253251252252252253253254253253253252252252251251250249249249249249250251252252254256258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269269999999999999999262999999250248246246247248248248248248249247246244243244241241241236238241244246251257261999999999999999253253250250248246249249250247245251253250251250248246239234235234234235237239239239239242247245999999999999999999999999999999999999999999999999999999999999999999999248253253251248249247242245246246249248250251251250250252251250250250251253254255253255255256257258260257257258261262261261262257259261258258259259257261258259260264269268269270272273273271269269271271271269269265264265266266268270272271273274275276276277278279278278278278280281282282282281282282283283284283285284283284284284283283284284283282284284283282283283283284999999999999999999999999999999999999999999999999999999999999249249252256258262261265267268266265266267266268266270270265269268274271270269269269271272275276276274274274276274271278279275274269271273272273271272270275274274273273274273272271269270269270270271269269269271269268269269266266265265270265268264265267264263266265261261260261263264265269269270262262260263263261264260261260261261258261259261261257258256255253249245245245243247246247248242244249244247246246241248250247246245244245242241243246247246247248249249245246239240244247245243247245243241242242243240242242245244243245243245247249250249247248248249251251253256257258257259258258256256255257258260257255255254252251250247244243235232233236239246249248250251252253253254254255254254256255254254255254253254254250247242241240240240241242242241241241240239238238238238236235235234234233232231232231231231230230231230231231231232232233233234235236237237238237238238238240239239239240244246247247247248249250251251250250250248248248249248248247246244242241240239240240239240242246246248249250250250250251252252253254253254254255255256255255255254253253253252251252251252252252253252253253253252252251250250250249250250250252252253255257259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270269268268999999263264260259251249247246247248249249248249250250254251247245243242240242238233238244253254261999999999999999248252252249247245243245246246245246250254252253251249247243241239236232234235236238238236239246252999999999999999999999999999999999999999999999999999999999999999999999999999251251251250249247245243246248250250250251250250250252252252253254256258258258257258259259260259260263264263263264264264265265265265263263264264263264264265266268268269272274274275273273273273272270270270269268267267269272274276276277278278280281283284285285283282283283284285285285284284285285286286285286286286286286286285285285284284284284285284283284284283283999999999999999999999999999999999999999999999999999999999251250250253255258263263264268269271271272270270269269271272271271271270270270270269272275276274277276278276276276279278279279277274277273274271277273273275275275273273272274271270272269271270270269270273273273273270267267267267266265266265267266265269269266267267266265265265267267267270271267266259267263268267261270269267263262263265262261260259258259260259255253250249249250254250252257256256254254253252251250250252251243243248248248249251251251249249251251245251246248248244248245246245246247246242241244242243243244245244243245248250253251251249252254254256257259261263263262261258257255255257256258260260260256255253252249247247243239236237242245250251250252253254255255256256256257257257257257258258257255256256255254251246242241241242242240241239240239239238239239237237236235235235235234233231231231232232232233233235237237238239239240239239241241241241240240240241240240239241245246247248246248248249250251252251250250249249249249249248247246244242241241240241240241242244244246249250250249249250252252251253253253254254255254255255255255255253252252253252252252252253252253252251253252252252251251250250250250251252253253256257258259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269271270269266265261259252252250249247248249249249248249248250252254255253249247243240239240236233232243999999999999999243247247249248248249250251252249249250247250252252254254253250249250243242240235235233234239239244244252999999999999999999999999999999999999999999999999999999999999999999999999999999999251252252251253251242247249250249251248249251252253251251252256257259260259259260262262262262263263264263264265265265265265265265265265265265265263264266266268268272274275276276275271273274272269270270270268268267269274276276276279279280281283283286285286285284284285285286286285285285286286286286287287287287287288287287286286285284286287287286286285284281999999999999999999999999999999999999999999999999999999999258256252252253256258263264263268269271272271271270268269269272272270267268271271271273273276277276276276276277277279279280280279277272277273277277276276276276275274274273273273272271272273272268271270271271272272270274270270267267265267270270271270271271268268270269271270269269269271270270272271271265264267266272267260263261263262268266263261263261262262258259256251251256255253258254258258257258258256255256258254247252251250251256249253255254255255255255252250250253254246253252249247245245245246246243243243244246244244244243243246249252255254253254255256256259261262264265263262261258258257257257257257259259259255256255252251247248244242242242246248250251253254253254255257257257257257258257257257257258258258258257257256254252250246243242243242242240239238239239239239239239238238238238237236235234235237238237237238239240241242243243243244243243244246245245245244242243241242243246247247246246247248248249251251251250250250248247248249249247247246243242241241240241242242244244245246248248249249250251252252253253253252252254254254254254254255254254252252253253253254253253254253251251252251252251252250251250251251253252254256257258259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271271270268264261258254251249248248248249249248249248248248250253254254253249247242239237241238233234999999999999999999246251249249248251254256256255254257251253256255252254254253251251249248245242238235234231237239239245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255258252249246248249249251250249251247251252253253256256258259260261261261261262262262263263264263266265263263263265264264263265264263264265267266268268267272275276275276275273273274273272271271270268268269271273275275277279280281281283283285283286287285286287286286287287286286286286287287287287287287287288287287287287287287288289290288287285283281999999999999999999999999999999999999999999999999999999260260259256257257260260262264266270272272272272271271270270269268268268265265271272272277276277277277279280277277277280280278278278277276277276273277273274274275274274273271273272273272271273272274272272272271271271271272271270269268267268266273272271272269269269271269270269269270270271271268270272270272270270271268269263262260263260268262263260260258255253253252248245244247248252255255255255255256256250257256259260259253253255256256255256254257257258255257257250246249251250250248248243246243242243242243241242241240239244243248247250253251251256256258260259260261264263263264262261260258258257257258257257258258255256256255255253247246249245243245250251252252254255255255257258258258258260259259260259259259258259259259257256256255254251247245243243243242240240240239239239240240241240240240239239238238238239241242242242242242243243244246245246246246246246246246246244244246247247248248249247246247248249250250252252252251252249249249249249249249247246244243242242242243242243244244244245246247248248249250251252252252252253253254254254254254254254254254253253253254254254253253254254252252252252252251251252251250251252252254256257258259260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270270271270269266263260257253252250248249250249249250249248248249251251253253249246242239238240240234236238245248249249250251254254253254256257257257257257258257257257254256254252251250250247247247242240237237236237239240242245235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252255256253251250249251251251251252252250252253252255255256255257258260260261261261261262264261262264261264264263261263260261260263263260263265264268269272274276275274272273271274270272270271271270270270272274273274275277278276281282281284283285285285285287286285286284284284284285287287287286287288288289288288288288289290290290291288286284281999999999999999999999999999999999999999999999999999999999262260262261259260261262263266263267267269269267268269269270268265265265272273275275276277277277280280281278278277277279279279279277276275277277275275273272272272274273272271271271273274274271275273271272270272272271272272272272271273270269267270270269268268269271272270268270269271271270268271271272270271271271265270270263263265263262265262260264264262258258255255258256258258258257259262260261261262263262263264269269260264263261264266265264261258258259258257259259259257257251254254251249244247245247248246244243243246243246245247250251254256258255260259260262263262264264263262261260259256256256256259257257258258256257256256256255250250249246246252252254255254256257257257258260260260259261260261260260261261259261260260259257256257256254252248245244244242241240240240241241241241242242242242241240242241240241240241242242242243243244245247246248249248247245248246246246248247248249248248249249249249250251251250251252252251250249249248249250250248247246245244243244243244243244244244245246246248248248249251250252252252252252253253252252252254254254254254254254254254255253254254254253253253252252251252251251251251251252254256257258259260260261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270270269270270270268266263260257256253250250249248250251250249249249249249252251250247244240238240240241241242249254255256257258256257257257258258255257258258254255257254251253253252251249249249247245243242238235235237237241240239999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256255254251251252252253252251251253254256256256256256256256258259259260261262264265265266266267267265264264264264264264264264265265266268268270273276278278277277275275274273270272271270270271271274276278278278280280281281282284284285286287288287288288288287287287287286286287287288288288288288288288289289289289289290291291291289286284999999999999999999999999999999999999999999999999999999999264262261263262259259261261268272272271274274272270270271270271272269270271274274274277276277277277277277279280279279278278278280279276277277276276275275273272270271273273274272273272273272272273276275275274274274272271272272272274274275274274273273272270270267271272273272273273272272271271270273272271270264266267265268262262263268269266267266262261259259256255258255259261259259259260265265263266264265268268266263272271270272271272269270270269267265261260261261257257259259255256254251249248247245245247246245245246245248249249248250252255258260262263262263263264264265265265264261259258257257256254254255256257258259258257259259258254253251251252252256255256257256258257258259259261261261261262262262261262262262262261263264262259258258258256254250248246243243242241239240241241242242241241243241242242243241241242241242242243244245247247246248247249250250249248250250251251251251251249250250249250250250252251251252252253251251250250250249249249250249248247245245245246245245245244245245245247248248248249251251251252252251252252253253254253254254253255255255255255254254254254254254254253253252251251251251251251251251253254256257258258259260260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268267269269269268267265262260258256252250248248251251250249250248247247250250250249248246243243238238241243250256258258259259259257259260258258257257254252251253256254254251251251249248248249245247241238236234234235237240246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253257251251250255254254255253254253254257257255257258257258258259261261262264265265266266266268267267267267265265266266265265266267268268270272274277279279279279277277275275273272271271272272273276277278279280280281282283284285285286286287287288289288289288288287287287287287288289289288288289288288288289289290290292292291290288286286999999999999999999999999999999999999999999999999999999999266262261262264262260262264267271270271273274273270270271272272271270271273273277278278278279279279279280280278279279279278278279278278277277277275275275274273273271274274274273272273272273273273274272275275275275274274273273272272274274273272271270269270269271272274273273270273272272271271271270271269269264268263262261261265265265266266264262260262257257255253259256258262259260264264267267267269268268270270269271272276275275273274274274273270272270264263260260261259261260259259257252252250248246247247248247247248250252251252252254256258261261261263263265264265265266266264264261258257257256255255256257257258259259260260260260259256253252252256256257256257258259258258259260260263263263261262262261261262262262262261263263263260260259258257256254251247248244243243240240241242241242242242242242243244244243243242243244245246247248249250250251251252251251251252253253253254254253251252251252251253255254254253253253252252252251251250250249249249249248248247246246246246246247247246246247248249249250250251252253252252252252252252253254254254254254254254254255254255256255255255254254254253252253252252252252252252253253255256257258258258258259259261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268268268268267267266265264262260257254252250250251252250249249248247246248246248249249248245246242239242246249256259259259258258255259259255258258257256254255255253255254253251249249248248247246245243240238235233234236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257255254254254256253253253254253256256257258258259258259260261261263261263265266265264267265267267267263264265264264265266266267267268270273275276277278278277277275275273272272272272274276278277279279280280282281284284285285286285286287287288289289289288288288287287287288289289289289289289288288289290291291292292292292289288999999999999999999999999999999999999999999999999999999999999265262263264264260262263265264264266268265269272270271271271271269270269263265267278280281278278279278278278277276279278280280279279279278277278278277275275275274275274274274274273274274272272272270273274273273275275275274274274273274272271270269268268269268268270274275273272273273272271270270268268267267263264264263262262262260263264262264258257259260260257255255260259260259256260259266265266265265267271272272273270272279280270272275277276274268266263268268266266264263265261259257256251250249251244245246248248250249250251253253256259258262263263270264266265266267268265264264261258257257256256256256256257259260261260261262262259256256252255258258258258258259258259258260261261263263263262261261261260261261261261262262263263262262260259258257257255251250245245244242242242242242242242242241242242244244244244244243245247248250252253254254255255255255252254254253254254255254254254254254254255255256256255255255255254253251252251251251249250250251250250249248248247247247247246247247247248250250251251252252252252252252253253253254253253254254254254254254254254255255256255255255255254254253252252251252252252253253256257257257257258258258259259261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270269267266265265264262260257254254253252253252251249250250249247249248247248247244243241239243244247249252257259258254253256257258258258257257256255253256255253253253251248246245246244244245243241237234234237241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259255256256255256257253255254255254256257259259260260261263265266266265266267267268269268267267268267267266266267267268268269270270271274277278278279281279280281278276275272273273274275277278279280281281282283284285284284285285286287288289289289290290290290290289288287288288289289289289289288287290290291291293293293293291290999999999999999999999999999999999999999999999999287287281999264267265263262261263263267268271272272272271274273272274276275274274274273275275280280280280279280281279280280279279279280280281280281279279277277277276276275275276276276276275275276275275274273271272274272273273274274274272272272271271270270269268268268265268270271273274270273273271270269269267266262263263260260260260260260260261257260261260261261261261260259261263264264264264265267269269270271270272274273273276278280280280279281279279278276278276280279273272271269268268268266265260251249248248245246250250250253252252252254256257260262265265265268265266267268269268267265262261259258257255255256257258259259261262262262263262258256256257259260260261261260260260260260261262262263263262262263262261261262262262262262261262262262262262260260259258257254251250248244244243243243243243243243242242242243244243244245245247249251253256255255256256255255255256255255256257256256256256256256256257256256257258256256256255254251251250251250250250250251251250250250250249248248247247248248249250251251251252252252252252251252253253253254255253255254255254254254254254255255255256256256256255254254253252252252253253254254255256256256257257257258259259259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274267267266265267265264262259255254254253253253252250249249248248251251250248246242239238240242246248249250254257257253253252257256256257258257257253258256255254254255252251249244246246247245244243242236234237241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260258256255256256253252258253257255256258260260261262264265267267267266266267267268269268269268266265267268268269269269269269271273275276279279278279282282281282283281281281280278278278279280280281281283282283284285285285286287287288289289290289289289290289290290289288288290289288289289288287999290290291293293292292295292291999999999999999999999999999999999999999999999283285282277272271270266265265265262266266269270271271273274275275274275275274275273274275276278279280280280280280281281282281279281281282282281281280280279277279277276277276276277277278276278277278278277276275273273275273273273272272272271271271270270269269269269268267266265266265271272269271271270268268266265264264264262260262260260261261261260259257259259262260262262262262262262263267268267266268269269271272272274274275275277280281282282283282281282280282283282281280280278272269270269269270268265257253250249248248250251254253253253252256256259262264265266267269267268268270270267266263262261260258257256256257258259260261263263262263264261258256258260260262263263262261261261261260262262263263263262262262262261262262262263262262261261261261262263261261261260260258256254251247247245244243244244243243243242243243244244245245248250252255255256257257257256256257256256256257257257257257257258258258256258257257257257256256258256254253251250251251251251251251251251251252250250249249249250251251252251252252252252252252252252252253253254255255256255255254254254254254254254255255256257256257256256254255254254253253254254255255256256256256256257257258258258259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270268266267266266264999258256254255255254253251249248248248249248249246246244240239238242246248248251252254254254252253255254254255256257259257256256255254253254251251250249246241246245242242239237232238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259256259253255257258258254253252257256258261261262264266266268269269268267266267267268268269270269269268269269270270269270272273275277278279280281282282283283283283283282284283284284284284284285286285283283284284285285286287288286288288288288290290290291291291292291290290290290290290290289999999288289289290291292294296293999999999999999999999999999999999999999999999282283279276275271271269269266264266265266267268271271272275276278277276277278277275275275275278278279279280280280281280280280282281281281282280281281281279278277278277277276276277278278278278278278278278278276277276276274276275274273272272271271271270269269268269266267267265264264266267270267264262265266266266266266269269268268264264261265264261263264264265265265264264261262264264263265265268270267266266265263263266270275275277275281282282282280281282285283284284282283281282275274273274271271271269267262257251249249250251250253253252254253255257260261260265265263270267268269270268267265262261260259257256257257257258260261262262263263263262258256259261261263264264264262262262262261260262263264264263263262261261261262262262262262262261260261261261263262262262261261261260258256253250247246245245243243243244244243244245245247249252254256256256257257257257257257257257258257258258259258257258257259259258257258258257258257257258255254252251250251252251252251251252252252251251251251251252252253253252253252253252251252253254254254255255256256257256256256256256256256256256256256257257257257257257256256257255254254255255255255256256256256256257257258258258258259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258255254256255253252250250249249249248247247250243241241240243242244244249250252254254253253254253252252256257258257256255255254254254251250251250249248248246242240239237236238243249255999249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257256257259258255256254253253257259262261263264266267268269269268268268269269264265266267268269269268268269271271272272275276277278279280281282283283282283284285285285285282285286286286286286286283285284285284287284282286286287287287289289290289290292292292292292291290290290290289289999999999287288288290291293296999999999999999999999999999999999999999999999999280280276273273273270270267267266264265263268267268268271273275276277276276276276276274277279279280280279280280280281280281281282279279281279279280281281279278278278279277277277277278279278278277277278278277278280279278279278278275274274273272271270269269268268268266266266266266265264264265264263264265265265266265265266266268267269268268271267265267271272266267268269270269270270270269270269269271269270272273273272273275276277278281284283283284285285285286285285284282283284284283282277277278271274272270266258254251250251250249253253254254254258261262263266266267269271268269270270269267265263262261259257258258259259261261263263263263263262261257258262263262263263263264264263263262262261263263264265264263263262262262263263262263262262262262261261262262262262262262262261260260258256255250248246245244244245245244245246246248251254255255257257259258257258258257257258258259259259259259259259260259259259259259258259258259258259258255255253251251251252251251251251252252252251251251252253253253253253253252253252252251252254255256256257258257258258257257257257257257257258258257257258258257257257257257256256256256256255255256256256256256257257257258258258258259259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255255257257256256253252252251252252251251250250250246246244242242245247247251253254253253252251253253253254255256256255255255254256251251251251250248248247244244241242239239242246252999999999999999999268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257258258257255255254254254256258262259265267267268268269270269269269270270269269269270271271271272271273273274273275276278279280280281283283284284284286286286286287287287288287288288288288288286287287287288288287285286288288288288289289290290291292292292292292291290290290289288288999999284285287287288291999999999999999999999999999999999999999999999999999999277278275272271268264264265265265265267265265270273272275276276276277276274277277276276278279280279281280282283281281281282282279280278281280280281282280280278279280279277279278278279279279278280279279279279279279280279280278278277276275275274273270269269270269266266267266266266265266264264264264267270271270265273268272272266271273272272272273274275272271271274273274273275275276274274274270271274274274274274274275276277278278279282284283283284286286285285284285285284283284282283284282283282279277276274272264262254253253252253255254255254258260261261262265259259268263269270270270270268266264263261259260260261261261261263263264263263263262258260263263263263264265264265265264264263262261263265265265265264264263263263262263262263261262262262261261261261261261262262262261260261260259259254252250248247246248248248248249251253255256257258258258259258258259258260259260260260260259259260260259258259259260259259260259258258258260259255254252253252251252251251252251252252251251251253253254254253254253253253252251252253254256255257257258258259259259259258259259259258258259258259259259259258258258258257257257257257256256256256256257257257257258257258258258259259260261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257257259259260258255255255255255255255253253251999999248250248247246245247250250251252254254252252252253251255255255257255255255252252251251250249248246244242241241238241243241243246263999252253261267268264268999250249999999999999999999999999999999999999999999999999999999999999999999999999999257257256256255254251252252255257260263266267267268268269269270269269269270272271272272273273273272272275275274274276276278280281283282283284284286286286287287287288288289289289288289290287287288289289289288289288288287288288288288288289290290291292292292292292292292291290289288288999286283284284285999999999999999999999999999999999999999999999999999999999999999276272269269267269263267265266268266268269270273275274278276277277276275278277277278280280279279280281281282282282282282281281280280278281282280281281282280281280279278279278280280279278278278279279280279279279280279278278278277276276276276274272271270270269268268268267266265265266264266268269269269271272269271274275271274275275276274274275273276276273273277277276276276277277275276273275274276277277276276276277278278280279281283285285283284286286284285284283283283283282283283282282283283283281280277275272266261257255255255257255254256257261261261264263260260264264270271271270269269266264264263262262263263263263263263263264262262263260260262262262263263264264265265265264264262261262264265265265265264265265265264263263263262261262262262262262262261262262262262262261261261261262261259255252251250249250251251252253254257258258259259259259260259259260260261260261260260260259259260260260259258260259259260259260259258259260258256254252253252251252252252251251252252252253253254254254254253253253253253252252254254256256257258259261260260260260260260260260259259260260260260260260260260259259258258258258257257257257257257257257257258258258258258258259260260261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254255259260260262261259260259262261261263259999999999999999253251250250248247246245246248252254252252252252252252253255255255257255253252248252250250247245245245244242240237242244240244249251254255259261262264267259254251999999999999999999999999999999999999999999999999999999999999999999999999999999256257256255254250252253254256259263265267267269269267267268269270272272273274273273271271271273274274275275275277278279281281281283284285286287288288288289289290290290290290291291291291290289289290289289290289288288288289289289289289290291291292292292292292291291292291290288287286285284284281999999999999999999999999999999999999999999999999999999999999999999273269268265267270268268266266267267265265269270272274277277276277278279279278280280280281280282281280280281280281282282281280282281281279282280280279278278280279281280279278280280279280280280280279280280281281280279279278277277277277276276275274273271271271268269268267268268266266262263264267269271271272272272273273273276273276274275272276275277277274273277278277276276276276277277278279279279279279277278278277278278280281281283285285283282284284283280281280282283282282282283282283283283283283281280278275272267260259260259258257256254252257258257262256260262262265270271271271270269268265264264263263264264264265265264264263262262262261261261262262264265266266266266265264264263262263265265266266266265265265264264263264263263262262261261262262262263263263263262262262261262261261262261259257255252252253253254256257258259259259259260260260261260261261261261261261261260260260260260260260259259260260261260260260260259259259257255254254253252252252251252251251251251252252253253253254254253253252252252253254255256257258259259260261261261261261261261261260260260261261261260261260260260260260259258258258258258257258258259259258258259259259259259259259260261261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263261259260262264264264263261264263261999999999999999999999999999252252250250249247248249251251250251252252251251254254256257260256255253256255251252248247251245241243241242245247248247248250252255255256259260258257256255999999999999999999999999999999999999999999999999999999999999999999999999999999999253255253251251254255256256258260264266267269270270270270271272273274274275273273271274276272274273274276276276278280281282283283283285287287288288290290290291291291291292291292292292292292291291291291291290288289288288288288288288289290291292293293293292291290291291289288289287286285286281999999999999999999999999999999999999999999999999999999999999999999268267266266267268271267268268270271270269269271273277276278278278278281280281281281281280281281280281281281282283283282282282282282280281280282281281282281281282282282280279280279279280279281282282282282282282282281280280279278277278278277275275274273272271270269268267268268267267268269270271272274275274275277277275277276276277278277276275274276274274274278279279278278277276277278279279280279280278278278277277278279280281281283283286286284283283285282282281282282282282282282282282283283283282282282281279276274270264262262261258257255255258260260259260260263266268269271272271270270268266265265264264265266266266264263261259259262261261264264265265266267267267267267266265265264263264266267267267267266266265264264262263263263263261261262262262263263263262262262261261261261261261261261261260259258257257257258259259259259259260260261261261262262262262262262261261261261261261261261260261261260261260261260261261260259259259257256255254253253253252252252251251252252253252253252253253253253253253253254255256257258258259260260261261262262261261261262261261261262261261261261261261260261260259259259258258258258258259259260260260260260260260260260260261261261262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267263263261262264265266265264263263266261999999999999999999999999999999999249250250253251251249247246251249250248249250253253252257256256255255255255254250249251248246246243246243246249249250251253254257258257255255256256259265253253999999999999999999999999999999999999999999999999999999999999999999999999252253250252254254256256256257258262265266268270271271271271273274275276277278277276275273275276276277278278278279281282282284285286287288289290290291291292292292292292293291291291290292292292291292291291288288288288288288287288288289288290292293293292291290289290289289289288288287286284999999999999999999999999999999999999999999999999999999999999999999999999268266266269269268268271270269271271271271270273276277278278277278277281281279280281281281280281282281282283282283282282282283283282281281282282282283282282281283282280280279279279279282282283283283283283283283282282281280280279278277277277276275274273273272271269269269269268269270272271276278279278275276277276278278277278278276279279277279277277276275277278278279279275278278278279280281281280278277278279280278280280281281283285286285284283280283281280281281281281281282282282281282283283283283282282281278273276273265265264262261259258258259262260260259264264267271272271271270269268265265266266266266266265264261259258259262263264265266267267266267268268267267267266266266265264265266267268268267266265266264263262263262262262262262262262262263263263263263262262261261261260260261261261260260260260260260260259259259258260261261261261261261262263263263262262261262262262262261261261261261261261261261261260260261261259259258256255254254254253253253252251251253252252252252253253253253253253253254254255257258259259260260261262262262262262262262262261262261261261261260261261260260260260259260259260259259260260260260260261261261261261261261261262262263263263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263262263263264265266266265265265266999999999999999999999999999999999999999999999999999999999999999999248247245245243249251254256255259253258257257256254252249245249247248247247243245250253252254252253257251252254253253255255999262999999999999999999999999999999999999999999999999999999999999999999999999999999252251249252255258257257260260261262264267269270273272273274275274276277277277276277277277277278278278279280280282283284285286286287289291291291291293293293293293293292291291293292292292291292292291290290289289289288287286286286288290290999999293292292291290289288288289287287287288999999999999999999999999999999999999999999999999999999999999999999999999999265267268267269272271273273273272272272274274272275277277278278278277282282280280280281282282281282283283282282283283283282285285283281281282282282282282283282282281281281281281280281283284283284284284285284284283282281281281280279279278278278277277275275273271271271270270270270271274272273275277279278277278277275275276277278280278280280281279279279277277279278278280279279279279280280280281281281280280280278280280280281282284283285285283283283284282282282282282281281282281280281282282283283283282282281281278273275273268266267266265263261261262258259262261264272270273272272270269268268268266266266266264262259258259260263265264267267268268268268268269269269268268268267266265265266267268269268267266266266265263263263262262263262262262263262263263263263263263263263263262261261260261262261260260260261260260259259259260261261261260261261261262263263263263263262262262261261260261260260260261262262261261261261262261261260258258256255254255254254252252252252253253252252252253253253253253253253254255256257258259260260261262262262262262263262262262262262261262262261261261261260260260259260260260260260260260260261261261261262261261262262262263263263264264265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264265265266266266267266265999999999999999999999999999999999999999999999999999999999999999999999999999999999245248249250252254254255257258258257258256255253252252250253250251250249249247248249250249251250252251252254253254258260268251999999999999999999999999999999999999999999999999999999999999999999999999999248247250254258260261263264264264265267268272273273274274275275275277277277276276278278277277278279281281282283284285283285286288289292292293293294294294294294294294293293293292293292289291291290290290288289290287286286287285999999999999999293293293292291289288288288287287999999999999999999999999999999999999999999999999999999999999999999999999999999999265271272271274275276275272270270271273274274274274274276277278278281280282280281281281281282282281281283283284284283284285285285284283283283283283283282281281282282281282280280280283282282283283282284284283283282283282282281280280278278279279279279278278275274273273272271272271271269269270273273276277277276276275273276279278281282279281280278278279279279279279279279279280280280281281280282281281281280281279281278280281281282282286286283284286285283282282282282282282282280281281281282282282282282282282281281272273274273272270271270269267267262260263260261265273269273273271270268268268268267265264263261260260261263264266265267269269269269269269270270269269269269268267267266265266268269269269268267266266265263262262262262263262263263263263263263263263263263264263263262261260261260261261260260260260260260260260261261261261261261261261262263263263263263264263262262262261262261262260261261262262262262262262261261261260259259257256256255254253252252251252252252251252252253253253253254254254255257258257259260260261262263262262262262263263262262262262261261261260261260260260260260260260260261261261260260260261261262262262262263263263263263264265266266266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264266264264265265265265267999999999999999999999999999999999999999999999999999999999999999999999999999999999243248250250254257259257259255259257258258256257254251254253252248251250251244248247250251249253251248249251250252256260269251999999999999999999999999999999999999999999999999999999999999999999999999999245250251256259261266268269270271272271269271271271273274274276277278280280279279279279279280280282282283284284285285284287288288289292294294294295294295295295295294294293292292293289292289290289288288288289288286286288287999999999999293294294294294294293291290289288284999999999999999999999999999999999999999999999999999999999999999999999999999999999262265270270273273277277277275274274276276276277278278278279278279280280281281280282282281282282283283283284286287286287287286287287287287286284284283283282283283284284284283283283283284285285285285285284285285284285284284283281282282280279280280279279279278278278277276276275274274272273274275275276278277277276277276276275279279281279280278281280279280280280279281280280279279281281282282282281281279281281281280279279278280281281282284286285284286285284281281282281282282281281281282282281281281281281281281281280279279275275275274273273271270269266262261263262265267269271273271269268268267266266263262263264264265263263266268269269270270270269269270271270270269270269268267267267266267269270270270269268267266265263263262262262263263263263263263263264263263263263263263263262262261261261260261261260261260261261261261261261261261262262262263263263264264264263264264263262262262262262261262261261261261262261262261261261261260259259258257256254255254254253253251252251251252252253254254254254255255256258258259259260261262263263263262262263263263263262262262261261261261262261262262262261261261261261261262262262262262262262263263263264264264264265265265267266267266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265263265266266265999999999999999999999999999999999999999999999999999999999999999999999999999999999243244248250254255253258259258258259258255260259257256254252252252251252250246245245245251252250250250247247247247250254258260999999999999999999999999999999999999999999999999999999999999999999999999999999999248251256260263269272273275276277276275274275275273275278278280279280280280280279280280281282283284285286285287287286286288288291291294295295295294296295296294295294292291290291290290289289289289287288289289288289287287999999292294293295294294294293294292291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262263271270272276278278277276276276278278278279279280280280282280281280281281280281282281284284285287288290290291291291292292291288290290291288287283284284283283284284284284284284284285284285285284285285286286285286285285283283282282280281280281280279280281280280279279277275277276276276276276277277277277277276277276276278279278280280280280279281279280281281279280280280279280281281281282283281282283279281281282279277278278280280283285286285285286284282281281281282282282282281281283281281281281280280280280279280279279279278276276275274273272271271270267267265268272271272273273270267265264264264264265267267265265266268268269270269271270270270271271271271270270270269269268267267266267269270270270269268268266265263263262263263264263263264264263263264264262263264263263263262262262261261260260260261261261261261261261261261261262263264264264265266265264264264264263263262261262262262262262262261261262262261262261261261260260260260259258257257256255254254254253252252253253253254255256255256257258259259260259260261262262263263262262262263263263262262262262262262262261262262262262263263262262262262263263263263263263264264264264264264264264266266266266267266266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244243247251254251257258260259259258257259257258257255253253252252249249250246247248246252253253250248245245246246246252256258261999999999999999999999999999999999999999999999999999999999999999999999999999999247251256260265271274276277279279279279279280279278277278278279279280280280280280280281283284285286286287287288288288289286289289291293296296296296296293294294293293291292290290291291288289289288287288289290291290288287284999999999292295294294294295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260267270274276274277278277277277276277277279280280281281282280280280280281282281283285285287288290292293293293295294294292293291292293294291290289288285285284284283282282283283284284284285285283284284286286285285285285284284283283283282281281281281281280281280280280280279278277278277277276276276276276276276275277274277278279278278278279280279281281279281283279281280280281281281280282282282282283284282283284281281282282279279280282285285284285284284281281281281281279279282283283281281281281280281280279279279279279278278278278276276275273276275272268270268268268271272272273273269265264264265266267267267268268268269269269270271270270271271271271271271271271270270269269269268267266267269270270270269269268267264263263263263263263263263263264263264264264263263263263264263262262261261261261261261261261261261261261261262262263264264264264265265265264264263263263263263263263263262262262261261261261261262262262262262261260260260260259259258258258256257256256254254254254254255255256257257258258259260260260261261262262262262262262262263263263263263262263262262262262262262263263263263263263263263263263263264264264264265265265265265265266266267267267267267267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243249252249252255259261255260258258258256255258258257253253252252252253254253253254253252253254247245244243244244246999253999999253999999999999999999999999999999999999999999999999999999999999999999999999999245250258260264272276278278280280280282282282281279281280278277277280280281280279280281282283283284286287287288289287288289289291292293296295297297298296294296296294292291290291291291290289289289288289291290291290288287283999999999297293292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263266271274274276276278278276276277276277278278278279280280281281282283284285285288288291290291292293295293294296294296295292295295293294293293292291290288286287286286284284284284285286286286286286287287287286287285286286286285285284284283283282282283283283282282282282281282281281280279280280279279278278277277280276276280278279278278279279281281280281282281281280282281281281282282281283283283283282283282283283283282282281280280280282285285284284284283282281280280280278278283281281280279279282282281281280280279279278278278278278278278277275276272272271271272270269269271272273273271265264265267268268270270270269269270270270270271270271271272272271272271271270270270270269269268267266267269270269270270270269268264264263263263264264264264264264264264265264263263263263264263263263262262261260261261261261261261261261262263264264264265265266265265265264263263263263263264264263264264263263262262262262263262262262262261260261260260260260259258258258258258258257256256256256256257257258259259259259260260260261261262262262262263262262263263263263263263263262262262263262263263263263263263263264264264264264265266267266265266266266266266267267266266267267267267267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268269266262255999999250246252253250251256259261259258261260257258259259258259255254255254252251250254254255254252251249248246244244243999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246253258260265272276278280279280282282284284283282283283282281281281282283283282283284285286288288288288288289290290289289290290292293294297295299296295294294294294293292291290291291290290290289288289292292291290289286283999999999295294291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264265266269273274275275278278278278277278278279280281282281282283284286286288289290291292291292293294296296295297296294296292292296294294293294293294294293291289287288287286285285285285285287287287287288288287287287287287286286286286286285284283284283283283284283282282282283283283282279280280280281280280279279279278279282282283282280281282281280282280282284283283281281281280280283283282283286286285283283284282284283283283283281281280281284285285285284283280279278278278279281282281281280278280280282282282281280279279279279278278278278279277276277276273274274275272271270272272273273271267265265268271271272271270270270270270271271271272272272272272272272271271271271270270270269269268266267269269269269271270270269266264264263264264264265264264264264265265264264263263263263263263262262261261260260261261261261262262264264265265265265265266265265264264265265264263264264264263264263263264263262262262262262261262262261262261261260260260259259259258258258257258258257257257257257258259259260260260260260261262262262262262262263263263262263263263263263263263262263263263263263263263263264264263265265264264265265265266266266266267266267267267267267267267267267267267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261260262264259261255250242247249249248250253254256259261261260261259259257258257258258255257256251249248248255256256254250249248247245243243243999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251256260265271275277279280280281282282283284284284285285285283282281283284284284285286287289288290290289290291290290289291292293296295296296297296296294295294295294295291293291290290290290290289291292292292290289287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266266270273275274276276277278278278278278280281282283285286290291291292291292292292293292293293294295297295295294293294294294294294294294293293294294294294293292289288287287287286286286285286286286288288289287289287288288287287287287286286286285285285284284284284285284284283283282283283282281282282281281282282281281285284283284284283282280282283282280282285285283283283282282282283283283284283286284285284285285284283283282282282282282280282285286285283283281279278279278281281280281278279278282278282282282282281280280280279279278278278279277274274276275276275276272274273272273272272272269265265270271272270270269269270270271271273273273273273273273272272272272271270270270270270269268267267269269270270270271271270267265264264264264264265265265265265265264264264264264263263263263262262262261261260261262263263264265265265265265265265265265264264264264264263264264265264264264264263263264263263263263262262262261261261261261261260260260259259259259258258258258258258258258259259259260260260260260261261262262262262262263263263262263263263264264263263263263263263264264264264264263264264264264265265265264265265266266267267267267267267267268267267267267267267267267267268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266262260260259261262259256252250250251251251252253253254258261262262264261263262258256254257259257256251250249250251256256256257256250250248248245244252259999277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246251254259265269274276279280280282282283284284284280284284283283283282283283284284282284285285290290291291292292290290290291295296296295297298298298298296296297296297296295293293291291291291292291291291292290290289289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266268269272275276277277277275276277277277279280278281283287291293295294294294295294293294294293293296296296294293294294294294295293294293293293294294294294294293290288290289288288286285285282283284285286284283283286286283286286286285284285286285284285285284284284283283283283282282282283281282282282282281282283284283282281284284284285283284284284284283281283287286285286284284285285285284284284286284287286288289286286285284283282281281282282285285285285284283281279279279279281280280279279278281282280282283282281281281280280280280279279278277276275276278276276276276273275273274274273272271269266265269272269267266267268269270271272273273273273273273273273272272272271270269269269270269268267268270270270271270271271271268266265265265265265265266266266265265264264264264263264263262263262262262261261261262263264265266265265266266265265266266265265264264264264265264264265265265265265265264265264264264263262262262261261261261261261261260260260260260260259259260259259259259260260260261261261261261262262262263262263263263263264264263263263263263263263263264264264264264264264264263263263264264264264264264265265266267266267268267267268268267267267267267267268267268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263265265261260257261260259257257256254255255255256254254256258259260259264263263263262259260257258256256255253254251249254254256257258258258257254248246245250258252276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246251255260264269272277278281282282282283283284283283283284286286284284284285286286288287290290291292292293293293294292292294296297297297297296298298298298295295294294294294293293292292292292292292291292291291291289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267271272273276277278278279279278280279281283284286289290293295295294294295295295295294295295294294293295294294295295295294294294294294294293293294294293293293294292293292290289288287285286286286287286287288288288287288288288288287287287286285285289288285287286287287286286285284284284283283283285284284284283283284284285285284284284283284285284281284286286285286286287287288286287286286285285285286286287288288286287287287286284284283283283284284285284284284282281282281281281280280279279279278281282282280279279281282281280277278279279278278276276276277276277276277277275277273275275275272271269268265267270267264264264265268271272273273274274273273273273272272272271271270270269269269269268268269270270270271271271270270270266265265265265265266265265265265264264264264264263263263263263262262261262262262263264265266266266266266266266266266266265265264264264264264264265265265265266266266265265265264265264264264263262262262261261261261261261261261261260260261261261261261261262262262262262262262262263263263263263263263263263264263263263263263263263263263264264264264264264264264264264264264264264264265265265266266266267267267267268267268267267267267268267267267267268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265265265259258256259260260256253257257256255256257257260259260262263263262263265264263260262259256258254252252251254254254254255256257257258259252248250252256259256268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247251255259264268271275277280282281281281279280282284283286286284285284285285285286287288289291290291294294292295296295295296297297297297297297297297298298297297293293294293293293292292292292292292292290291292290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268268271272274276278278277277278279279281282285288291293293294297296294295295296296295293295295295295295295295296295295295295295294294294294294294294295294294294293292294293291289288287288287286286287287289289288287287287287287287287287287286288287287288288287288288288287287286286285284284286286286285285282286286285283284285285284284285285286286284287287285288288286290286288287289287287286287287288288288288288288290287287286285284282283285282283285285284284283282282279281281280279278279278281281280280281279279278280280280278278279279278278278277277276276276276278279278275273276276276275271270269266266269268265263264265269271273273273273273273273272272272272271271270270269269269269269267267269270269269270270270271271270267266266265265265265265265265264264264264264264263263262262262262262262262262263264265265265266266266266266266266266265265264264264264264264264264265265266266266266266266266265266266265264264264264264264263263263262262262261261261262262262262262262262263263263263263263263263263263263263263263263263263263263263263263263263263264264264264264264264264264264264264264264264264264264265265265266266266267267267267267267267267267267267267267267267267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264265264260264258263261259260258256255255257256258257259258260262262264264266264266265264262260261261257257256253257255255254254254253254255256252253252249250252251251257262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247254255260261266271275277280283282282283279279282284285286285285286285286286288287288290292293293293295296295297296294295296296297297298297297297297297298298297296296295295293294293292292291291291291292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268269270272273275277277276275276278280283285290292294296296296297297297297296296294295294295294294296296296296295295295295294295295295294294294295294294294294294294292292293292290288288288287286288288289289289288288289287287287287287288287286287288288288289289289288288285287287286286285288289288287286287285285286286286286286285287286287287288287288288288288284288286284286288287289288289287287287288289288289287289288287288287286286285285284283283286285285285285283282281280278279279280280281281280279279280279279281280280280279279279279279277277277277275276276277277277276277277277277276275273271271269266265268267263263266270272272272272273273272272272271272271271271270270269269268268268267268268270269270270270272272272270268267266265265265265265264264264264264264263263263263262262262262262262263264264265266265266265266266266266267267266265264264264264264265264265265265265266266266265265266266266266266266267266265265265265265264264263263262262262262262262263263263263263263263264264264264264264265264264264264264263263263264263263263264263263263263264264264264265264264264264264264264264264264264264265265266266266266266267267267267268267267267267267267267267268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263265261263263263262264263260258257259258258260259260261262264263263263265266266267266266263260262261260260257258257255254254255254252255255256253253253252250252256262264264266999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254256260259263267274276280278282283282279280281282284281282283283283284287286286288290295296296296297296296296999999295297297297298299300299299298298298298297296295293295293293293293292292291291291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269270271273275276277275277277279283286290291294295297296296296296297297295297295295295295295295295296296296295295295295295295294294295294294294294294294294294293292292293293292289289288287287286288289289289288288289288287287288286287288288288289289288289289289288288288288287288287289288290290289289287288288288286287287288288288287288287288286289291289290288285289288287287288287288288288286287287288288289289288287287287286286286285284283283284286285286285285281279276278279279280280278281280278277278278277276280280278277278278279279279277277277276276275275276277278278278276277277276275274273271272269265267268266264269272272272272271272272272272271271271270270270270270269269268269267266267269270271270270272272272272271269267265265265265265264264264264264264264263263263263262262263263263264265265265265266266266266266266266267267266266265264264264264265265265265264264265265265265265265265265265265265266266266266265266265265265265264264264264263263263264265265264264264264264265264264264264264264264264264264264264264264264263263263263263263263264264264264264264264264264264264264264264264264264264265265265266266266267267267267267267267267267267267267267267267268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262999999999999264263263263263260264264263261260258261260260258261261263263264264265264265265266268266265264263263260259259259258256256254254255255254254256253253254258257254258261264268268271999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254252258260260266273277279281284285284283283283281287287285287288288287288293294296297297297298298298297297294294296297298299300299300300299298297297297297296294294293294293294293293293293292293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271270270271272275276277276277280283286291294296295297297295297296296295296295295295296295296295296296295296295295295295296296296294295295294295295295295294294294293292293293293294292288289289287288289289289289288289289289288287288288288288288288288288288288289289288288289288289288289288288288288288289289289288288288285289289288289289289288289288288287287288288287288289287287288287286288287286286286289290289287287286285287288287286285283282283285285285287285283281277280279279279280280280280280279278279278278278279280278277279279278279279278278277277275276276277277278277277277278277277276274271270270270268268267267269271272272272271271271271272271271271271271270270270270269269268268267267269270271272271271274273273272271270268266265265265265265264264265265264264264264263263263263264265265265265265266265266266266266266266266266266266265265265265264264265265264265264265265265265266266265265265265265266266265266266266266265266265265264264265264264264264265265264264265265265265265264264264264264264264264264264264264264264264264263264264263263263264264264264264264265264264264264263264264265265265265265265265266266266267267267267267267267267267267267267267267268268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269263262262265264263263263263264263264261259259258259260261261261261263265265266265265265266268269266264263264263261263261258259256256257253255256255254256257254258257258258260262265269269269279999999999999999999999999999999999999999999999999999999999999999999999999999999999255256252257261263267275280280282281282282285285287285288287289291293293294295293297298298299298299299299297298297296298299299299299299299300298298297296296295295294294294294294294293293293292292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270271272273275275277276279282286291295296296296296295296296296297296295295297296295295295295296295294295296295296296296296295295295294295295294294294296294295293293293294293294293291289288288289288290289289289289289288288288288288287287288289289289289289290290290289290290291291290288288290288288288289290290289290290285290290289290291290292289291290289289289288288288288287288288288289287287286286285286287286283286287289287287286285284281283285285285285285285283280280280280280281280280277280278278278279278278278278278279279279279279279278279277276276277277277278277278278278278277277276276272272271271269269270270271272271272272271271271271271271271271271271270270270270269269268268267267269270272273273273273273274273272269268266264264264264265264264265264264264263263264264264265265266266265265265265266265265266265266265266266266266265265266265265265265265265265265265265265265266265265265265265265266266266266266266265265265265264264264264264264264265265265265264264265265265265264264263264264263264264264264264264264264264264264264264263263264264264264264264265265265264264264264264264264265265265265265266266266266267267268268268268267268267267267267268268268268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262263264265265264263265263263262262262261261259259262263263263264266266264265266267268269269269266265266264264262262263261260257258256251253255255254258259259260258258258259261262267267274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255260262265270277279281283281283286284284286289288291293294295296297297295298299300300300299299298296298299299299300300299299299300299299298297296294293293293293294294295294293293293293293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271272272274275277281284288291294296296298299299299296296297296295296296296296297296296295295295295296296296296296296296295295295294295295295295294294295296295294294294293294293293292289289288289290290290289289289289289290290289289290290291291291293289291290290291290291291291291291290290289290290290291290289290290290289289288288290291288286287287287287287287288288288287287288288288289289289290288290286286287289289288287287284285282282282284284286284285284282282282281281281280280280279280278278278277276279278279279280278279279279279279278278277276278278278278279278276280279278277276275274274271270270270272271271271272271271271271271272271270270270271270270270269269269268268267267269270271272273273272272274273273272270267265264264264264264264264264264264264264264265265266266266267266266266266266266265265265265266265266266266266266266266265265265265264265265264264265265265265265265265265265265266266266266266266266266265265265264264264264264265265266265265264264265264264264264265264265264264264264264264264264264264264264264264264263264264264264264264265264265265265265264264264264264265266265266266266266266267267267268268268268267268268267267267267267268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262261263266265266263262263262262262262262263261261262261263262263264266267267266266265268268269267267266266265267262261262263262260257256255253256252256252257261260258257259260261264256262264280283272999999999999999999999999999999999999999999999999999999999999999999999999999999999256259262264268274281279282282284286288286286287290292291290292293295296296299297300300300301300299298299299300299299300300299300300299300299298296295294293291291292293294293293293292292293293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273275275276277280285288292293297298298297298297298297297296296297297297296297296295297297296296295295296296295296296295295295295295295295295295295295294295295294293293294293294293293292290291291291291291291291292291291292292291292292292292292292291291292292291291290288292293292292292290289291291292291291291291291290289289289289287288288287288288286288288288287286287286286287289289287288288288287288287289288288288286286285284285283282282284285285286285281284280283282281281280277280280280280279278276278278278277279279277279279279276276276279277277278277278279278278278279279278278276276275274272270270271271271271271271270271271270271271270270270270270270269269269269269268268268270271272272272272273273273274273272272270268266264264264264264265265264264264264264265266266267267267267266266266266265265265265265265266266266266266266266266266265265265265265265264264264265265264264265264265265265265266266266266266266266266266266265265264264264264265265265266265265265264264264264265265264265264264265264264265264264265264264264264264264264264264264264265265265265265265265265265264264264265265265266266266266266266266267267268268267267267268267267267267267268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262259260263264263263261263264263263263263262262262262263264265264264265267268268267267268268268266267266267266267265263261262262261260259258257257256254255255258260261260260262257261257259271268278271999999999999999999999999999999999999999999999999999999999999999999999999999999999999258262267269275279281282285286286287288287287288290292293293294295297298299300300300299300300301300300301300300299300299300299299299300300299298296294293291284289290292999999294295295292295295295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278276276278281284288293296296297297298297295297297298297296297297297298298298297296298298297297297297296296297296296294295295296296295295294295294293295295294293292294293293293292293293293293293292293293293292293293294293293293293291292293292292292292293294294293293290294295294293292294294294293291291290290290293291291292291288288289290289288290287288287287288288288287287288288288287287288288288287288289289286287289289288286285283284285284286286286285285284282282281282281281280280281279279278278276277277277278278279278277278278276276278278276276277275277278279279278278279278278277277275274272271271272272272271272271270270270271271270270270270270270269269269268268269269269270272272272272272272273273273273272272272271268265265265265264264264264264265265264265265266266266266267267266266266266266266266266266266266266265266266266266267266266265265265265265264264265265265265265265264265265266266266266266266266267267266266266266264265265264265264265266265265265264265265264265265265265265265265265264265264264264265265264264265264264264264264264264264265265264265265265264264264264265265265265266266266266266266266267267267267267268268268267267267267268268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260260262259260260263261261263263264263264263264264267264264266266266266268268269269269268268268268267267267266267266265266264261263263262260256257258255256256256256256259262262260259258262265269272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259266272276281283284284286287288287288287288289289293292294295296296298300300300300300299299299300300301300300300300300300300300301301300299298297296999999999999999999999999296296297296296295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300999999999999999281279277276278281286290294296296296296296297296298298297297297297298298300299298299299296298298298298297298297297296296296296294295295296296296295296295295296295294293294293292294293292295294294294293293294294293293293293294294294294292292293294293294294291293297296296295291293296295295297296295294293292293292293293292290289284290289287287289286288288287287287287288288288287288288288287288285287287287287289288287287288288288287286285284283285284286286284282285285283282282282281280280282280280280278277274274279277279276278278278278278276277277277276277276277278279279278278278278278278277276275274273273273273273272272272271270270271272271271271271271270270269269268268269270270271272272272272272272273273273273273273272272271268265265265265265264264264264265265265265266266266266267267267267267267266267267267267267266266265265266266266266266266266265265265265265265264265265265265264264264264265266266266266266266267267267267266266266266266265265265265266266265265264264265265265265265265266265265265265265265264265265265265264264265264264264264264264265265265265264264265264264264265265265265265266266266266266267267267267267267267268267268267267267267267267267267268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263261259263262263261264264264263263263263264265264265265265266265268269268268268268270270269268268268269268268267267265266268266263261265264261258259258259258258258259256256258262263263263260261269275274278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269273277281283286287286290290290289289288288290291292292295295296296298299300301301299299298299300300299999999999301300300300300300300999999999999999999999999999999999999999296999298298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295295999999999999278277277278281283286292296297297295298297298300299299300299299299299299300301300299300299299298299298298299299298298298296297296295295295297297295295296294296296295296296295294294294294294295295294295294293293294294293293293294295295294294292295296294294294294295296298296296297297296297296296297297295294294294294291293292292294293290290290289288288288288287288288288288288287288288288287289287286287287287289289289288287288288289289287285285284284286286286285284286285284283281281281280280280280280279280278279279278279278277278277277277277277277278277276277277278277278277277278277277278277276275275274274273274273273272272272271271271271271271270270270270269269269269270271271271271272272272272272273274274274274274273273272272271268265265265265264264264264265266265266266266266266266267267267267267267267267267267267266266266266266266266266266266266266266266265265264264265265264265265265265265264265266266266266266266267267267267266266267267267266266266266266265265265264264264265265265265265265265265264264265265264265265265265265264265265264264264264264265265265265265265265265265265265265265265265265266266266266266266266266267267267267267267267267267268268268268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264265263263258259258264264265265264264264264266266266265262266267269269270271269270270271271270269268269269270269268267266266265263262261265264262260259259259259259258259260260263265266268263259263270277275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273277279283285288289287290287288290290290291290292293296296297298297298299299300300300299298296298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290292999999999999276277279280283285288293295297297299298298298299299299299299299298298300300301300300300300299299298298299298299298298298297297296296295296296295294293295296295296296295296294295295294294294294295295296295295294294294295294294293295295295294295293295294296295295296297298298299299296299298294298296295294293293294293294295295294294292292291290288288289290288288289288287287289287287288288288289289288287286286288288288289290289290290290290288287286286286286286286286285286286285284280282280280279280280279277278277277278278278278278277277277277277277277277277276277277277278278278278278277276276276275275275276274274273273273272272272272271271271270270270269269269270270271271271271272272273273273273273273274274274274274274273273273272272270266265265265264264264264265265266266266267267267266266267267267267267267267267267267266266266266266266266266266266267266266265265265265264265264265265265265265265265265266266267266265266267267267267267267267267267267266266266265265264264264265264265265265266266265265265265264264264264265265265265264265265265264264264264264264264264264264264264264264264265265265265266266266267267267267267267268268268268268268268268268268268268268268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264264263262261258257259261263265265265264263266267267266265266268268270271271271272270271272272270269267269269270269268267267265264264263260263261261261260260259259259259259260262264265265261259259261270277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272278281284285288290290290291291290292291292291293295296297298299300298300301300300301300299298297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287285999999999999999276277280285287291293294298299298298298299299299299300299298298298299300301300300300300300299298298298298299298299298298298298297296297296296297296296295295296295295296296296296296293294295295295295295295294294296295295294294295296296295293294294296296296297297297297297295294299299299295295296295294293294292296292296294293293295292292290289290288289289289288288288288287287289288290289289289287287288287287288289287289289290289290290289288287286286285284286287286285287286286282281279280280280280280277278278277279278277277278277277277276277276277277277278276276277278278278278278277276275275275275276275274275274274273273273273272272272271270270269268269270271272271272272272273273274274274274274274275275275275274274274273273273272272270267265265265265264265265266266267267267267267267267267267267267267267267267267267267266266266266266266266265265265265265266265265265265264264265265265265265264265264265265266266266266267267267267267267267267267267267267266266265265265265265265265265265265265265265264264264264264264264264264264264264264264265265264264264264265265264265265265265265265266266266266266267267267267268267267267267268268269269269268268268269268268268268268268269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270268267266264263262261260262263266265266265264264265265269270270270271272273273273272271272272273272270271269269270269269268268266266264263265262262261261260259259260260259259262264266265261257254254261270275999999999999999999999999999999999999999999999999999999999999999999999999999999999999273278282286288289291291291290291291290292292293294296297297299299299301300302299298297299299300296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287289287999999283999999999999999276279283288290294295296297298298300299299299299298299298298299299300301300302301301300300300297298299299299299299299299298297297298298297296296296294295295295295295296296297296296295295295295295295295294295295295295295294293296294294295294295295296296296296296296295296296296297297294294295296294295295297297297293293293290292290289290288288289290288289288288287287288289288290290290290289288288289289290288288288288289288290290290289287287287287286286286285286286285287286286287284282282280280280279278279279278277278277278278278277277276277276277277277277280279279278278277276275274275275274274275275274274274274274274274274273272272271270269269269269271272272272273273274274274275275275275275275275275274275274275274274273273273272272271269266265265265265265265266267267267267267267267267267267267266266267266266267266266266266266266265265265265265264264264264264264264265264264264264264265265264264265265265266266266266267267267267267267267267267267266266266265265264264264264264264264264264264264264264264264264264265265265265265265265265265265265265265265265265265265265265265265265265265266266267267267267268268268268267267268268269269269269269269269269269269268268268268269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270269267267266264264263262263265266266266266265266267269271272272273273274274274274273274274274273273271270270270270269268267267263268266264261263262261261260261262263261260262264266268262253250253263269272999999999999999999999999999999999999999999999999999999999999999999999999999999999999280283286290290293293291290290291290291292293294295296299298300297296300299300298298298300299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286284284999285999999999999999276279284287291294295297297298299300299300299299299299300300299298299299301301301301302302301300300299300300299299298298298299298298297297297296295296295295294294295295295296296295296296296295295295295294295294294295295295294295295295295295294296296296297298297297296295295296296296296295294293294290297295294295294293292291291291291290289289288287288288289289289288288288287287288288290289289288288288288288287286286288289290290290288288287288287288287287287287287286286287284282283282284284281281279280280280280279278278278278279278277277277278278278277278278279279279279278278277276274275275275276276275275275275275275274274274273272272271270271271271273274274274274275275275275275276275275275275275275275275275275274274274273273272273272271269267266265265265265266266267267267267267267267267267267267267266266267267267266266266266266266265265265265265264265264264264264264264264264264264264265265264264265265265265266266266266266266266266267267266267267266266266266265265265265265265265265264264264264264264264265265265265265265266266265266266266265266266266266266266266266266266266266266267267268268268268268268268268268268268268268269269269269269269268269268268268268268268269268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280273272270269269268267265264264264263265266265264265267265269268270273273273274274275275274275275275275273273272271271271271269266268267265267265265264264263262262261259261263262260263265266263254248250253261262262999999999999999999999999999999999999999999999999999999999999999279273272275274275275283287293293293294292291291291292292293293294296298298296296299295297297296297297298299297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999999999999999999999999290288289999999284283284284285285284281999999279279282286287291295296297299300300300301301300299300299299299298299300300301301301302302301301301300301301301300300300299299299300299298298298297298297296296295295296296296296296296296297296296296295295295294295294295295295295296296295295296292296296297297297298297296297297297296297297296294295291294295295293291291292292292291291290290289289288289289289288289289289287287288288289288289289289288288286287287286287287287288289290290290289288290290289288287286286286288283285285284280286286286285284282282281281281281280279278278278278278278278278279279279279277279279280280279279277276275275275275277276277276275275275274274274273273273272272273273273274274275275275275276276276276276276276275275275275275275275275275274274274274273273272273272272270268266266265265265266266267267267267267267267267267267267267267266267266266266266266266266266265265265264265264264264264264263263264264264264264265265265264265265266266266266266266267266267267267267267268267267267267266266266266265265265265265265265265264264264264265265265265265266266266266266266266266266266266266266266267267267268268268268268268268268268268268269268268268268268268268269269269269269269269268268268268268269268268269268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282276274273270270269267267266266264265264266266264266269267268268270272274275275275275275275276275276275274274271269271269271270269270270268266265264264263263261262261261262262260258259262262256251245250252260261261999999999999999999999999999999999999999999999271271999999999276280276273273273278283288294294293292292291292292292294295296297297296296298299298296296297298297297297297295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999999999999999999999999999999999999999999999999288289286999999999999286289290290287287999999280283283286287290293296298298300301300300302302300299300299298298297300300300301302302301301301302301300302302302301300300300300300300300299299298298298298297297297297296296295295297297296295296296296295295294293296295295295295296296296295294295296296296297297296297296298297296298295294293294295294295293294292293293293293292292293293290290288289288289289288290287287288287287289289289289289289288288288289289287287287288289289289291290290290292291290289289288286286285285286286283284283286286286287286284282281281281280280279279279278279279279279279280280280280279280280280280279277277276275274275276277277276275275274274274274274274274273274275275275275276276276276276277276276276277277276276276276275275275275275275275274274274274274273273272272272270269267266265265265266266266267267267267267267267267267267266267267266266266266266266266266266266266266265265265265265265264264264265265264264265266266265265266266267267267267266266266266267267267267267267268268268268267267267266266265265265265265265264264265265265265265265265265265266266266266266266266266267267268268268268268269268269269269269269269270270270269270269269269269269269269269269269270269269268268268269269269269269269269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283276277274271271270268268266267264268263270271270266271270270270272273275276277276276276277276276277276275274272270271269272271269270269268266266265264262262262261261259262261259254255252263256248243250253258262260260260999999999999999999999999999266999284999269270267270271276999999271274280284288294296294293292293292293293294295296298299300296300298296295297296298297296294294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290285291292999999999999999999999999999999999999999287288288287287999999999284290291283283289287282282284286287288291294296298300299300301302302301301299300301300301300300301301301301301301301300301301301300301301300301301300300300301301301300299299299298300299299298298297297296296296297296296297297296297296296295296296297296296297296296296297297297297297297296294297296297297296296298298298296295295294293294294293293293293292291293289289289289288290289290288287287287288288287287289288289288288290288290288289288288288289290290290290290290291290290290289290289288286287286284285285287286287287287287287285283281280280280280279280279279279280280280279279280280280280281280279278277277275273273276275276276275274274274274274275274274274275276276277277277277277277277277277277277277277277277277276276275275275275275275274274274274274274273273273272271271270269268266265265265266266266266267267268268268268268268268267268268268267267267267267266267266266266266266266266265265265264264264264265265265266266267267267267267267267267267267267267267267266266266266267267267267267267267267267266266266265265265265265265265265265265265265265265265266266266266267267267268268268268269269269269270270270270270270271271271271271271271271271270270270270270270270270269269269268268268269269269269269269269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286276275272274272271269265267268270272268268269270272272271272272273274276276277277277277277278278277277276274272272271271271271273272271269269267266264263263261261262261261261258253254251256257249248248250256258259259999999999999999999999266266280277999266266267999268268269270272271273279284289294297295292291291293294294294296297298299301300298298298296299298297296295294289289999999999999999999999999999999999999999999999999999999999999999999999999999301300300299999999999999999999999999999999999999999999999999999999288289999299298294293289999999290999999999999999999287287288288285999999290288294296999283289290289289289290291294295296298299300300301301301300298299298299299298300299299299302301301301301300300300300301299299299301300300300301300300301300301301300300300300300300299299298297297296296297296297297297297298297298296297297298297297297297297297296297296297295296296296297297296297296296295296296295295294294294294294293293292292292292292291291289291291289288288288288286287288288288288287288287288289289288288288289288288289289289289289290290290290290290288288287288288288287286285285286286286288287287287287286284282280280280280279281280280280281281281280280280280281280280279279278278276274276275274275274274273273273274274275275275276276277277276276277277277277277277277277277277277277277277277276276276275275275275275274274275274275275274274274273272272271270269268267266266266266267267267268268268268268268268268268268268268268268268267267267267267267266266266266266266265265265265265265265265266266267267267267267268268268268267268267267267267266266266267267267267267267267267267267267267266266265265265265264265265265265266266266266266266267267267267267268268269269269269270270271270271271271271272271271271271271271271271271271271270270270270269269269269269269269269269269269269269269269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280272277277275272267267270268268270273275276273274275274276278277278278278278277278278278277277276273272272273271271271272271270269267266266264262263262261262262261261258254251247252254250242241256251248256275272999999999999999275265999999274267999265265267267268267268266273276282287290295296294999294293293294293294297298299300299298298297295295297297297297296999999999999999999999999999999999999999999999999999999999999999999999999999999296295293297298297287999999999297301289999999999999999999999999999999999292289286286287999999999999999293999999999999999288287287288289288999287290294297297295291292293292293292293294295297297297299300301301301301299298299298298299300300298299299301301301301301300300300301300300300300301301301301301302302302302301302301301301300300300300299298297297297296297297298297297297298297298298296297297297297297297296296296296296297295297297297297295295296297296296296295295294295294293292293291292292292292292293293291291290291290292289290289289288289289289289288288288289288288289289289289289288287288288289290290290290290290288288288286289289289288288286286285286287287287288288287286285284281281281281281280280281281281281281279282281280281279279278278278275275274274273272272272272272272273274275275276277278278278278278278279279279278278278278278278278278278278278277277277276276276276275275275275275275275275274275274274272272271271270269268267266266266267267267267268268268269269268269269269269268268268268268268268268267267267267267266266266265265265265265265265265266265267267268268268268268268268268268267267267267267266266266267267267266267267267266266267267267267266266266266265265266266266266266266266266267267267267267268268269269269269270270271271271271271272272272272271271272272272272271272272271271270270270270270269269270269269269269269269269269269269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280279278274272270266265268269272274274275272275275273274274275278279280280279279279279278277276275274273272269272272272271270269268268265264264264262261262262261260258253255250250251252245242245250247255999256999999999999272263999999266259260264265267269268271271269275277281286289293295298999999294295294295296297299300299300298297295298296296296296294295999999999999999999999999999999999999999999999999999999999999999999999999999293293295294296296294291284999278281289298290999999999999999999999999999999999999292286285287288289292295296296294295295296296293290290289290290291294297299297294295295295296295295295295296297298298298298301302301300301299298300299299299301301299299299300300301299300300301301300299300300300300300301300301301302302302302302301300300301300300300299300299297297296297298298298298298298298298297297297297297297296296295296296296296297297297296296296296296296296297296295294293294294293294293293292292292292292293292292292291289288290291289288289290288289289289288289287288288288288288289289289289288288288288288288288289289289289290289289289289290290289288287287285285286286286287287287287288286282282281281281281281281281282282281281281281279279280278278278277275273273272273271273273273274274275276277278278279279279279279279280280279279279279279278278278278278278278278278277276277277277276276276276276276275276275275274274274274272272272271271270269268267267267268267268267267268268268269269270269269269269268268268269269268268267267266267267266266266266265265266265265265266266266267268268268268269269268268268268267267267267266267267266266267267267267267266266266267267268268267267266266265266266266266267267266267267267267268268269269269269269270270271272272272272272272273272272272271272271271271271271272271271271271270270270270270270269269269269269269269269269269269270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275274272268271271269271272271270269270270270271276273275275276278278278280280279278279278277276274274272273271272272270269269265267266265264263263262262262261254250247248250251250247241244999999999263999999257259260266258262262999261262263265268271271273277278279282285289291295297297999294296295297297297298299300297299298296293295291292293294292999999999999999999999999999999999999999999999999999999999999301300298294999290288284286293295294294292999284282283289300999999999999999999999999999999999999999999999287288290294297298297297297296297298298298298297293293295297299301300299293294295296296296297297297298298298299300301301302301300299299299300299300300300301300300300301300300300300301301300300299299298299299300300301302302302302302303301302301302300299300300300300299297297298297298298298298298298297297296297297296296296296295295296296296296297297296296295295296296296296296295294294294294294294293293293293293292293292292291291290291291289289289289289288289288288288287287287287287287288288288288288290290290289289288287288288288288289289289289289290290289289289289287288288287286286288286287286287288288285281279280280280280280281281281281280281282281281279278278277276274274273273274273274274275275276276277278279279279280280280280280280280280280279279280279279278278278278278278278277277277276276276276276276276276276276275275275274274274273272272271271271271269269268268267268268268268268268268268269269269269269269269269269269269268268268267266267267267266266266266266266266266266266266266267267268269269269269269269269268268268268267267266266267266266266266266267267267266267267267268268268267266266266266266267267267267267267268268269269269269269270270270271272272272272272273272272272271271270270271271271271272272272272272271270270270270270270270270269269269269269269269269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273273272272271270269270272272273274276277276275276276278279280280279280280278277276275274272273273273271270268268266267266265265264263263263261254247245247246249249247244246246249250256255256257259255258251255256261262264266268271274276276281284285287288290294297298298296295296296297298299299300298298298299296293293999999999999999999999999999999999999999999999999999999999999999999999302304303298294294999999999999999293295290290999999282279999999999999999999999999999999999999999999999999999292290293295297298299298298298298298299299299299299299298299300300301299296294295297296297297297297298298299298298300301301301301299299297298299298298299298298297299300300299299299300300300300299298299298298298299300299300300300301302302302302300299299300300300299299299297297298297297297297296297297296296296296296296295295296295295295294293295296296296295296296294295293293294295294295295294294294294294293292292292291290290291290292292291290289289290290287287287288287289287289288288289289289289289290290290290289290288288288288288289289289290290289289290290289289289289288288289287287288286287287287289288286281279281280280280281281281281279280281281282280280278279278277276275274273272274275276276277277278278279279280280280281281281281281281280280280280280279279279279278278278278278278277277276276276276276276276276276276276275275275274273273273273273273272272271270270269268268268268269268269269269268268268268268268269268268268268268268268267268267267267267267267267267267266266265266266266266266267268269270270269269269269269268268268267267267267266266266266266267267267267267267267268269269268267266267267267267267267267267267268269269269269269269270270270271272272273273273273272271271271271270270270271271271271272272272272271271270270270270270270270269269269269269269269269269268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275275273274273274274275274274276278279280280279279278278279280279279280279278278277277274273272273274272270268269268267267266265265265265264261257250247247246247246248245250247244248250248248249251251252255256257261264265268271274278280282285287288290291294296298298999293295296297297299299299301301297297298297295292999999999999999999999999999999999999999999293283283999999280288999293300303303305294999999999999999999999292288282999999280291290999999999999999999999999999999999999999296297296295296298299300299300300300300300301301301302300300301300301301302301299298297297298297298298298298299299299299301300301302301301300299299298298299300299299299300300300300300300300299301300300300300299299299299300300300299300300301301302302301301299300300299299299299298298298297297297297296296297296297297297298295296296295295295295295295296296296296296296296296296294294294293294295294293293295295294295294292291291291291290291290291290291290289289290289286286288288289289289289289289288289290290289289289291290293290289287288288287289289288288289289290289290289287289289289289288287288287288287287288288284284283279280280281282281282281282281281281281280281280279278279277275275275274275277277278279279279279279279280280281281281282282281281281281280280280279279279279279278278279278278278278277276277276276277277276276275276275275275275275274274274273273273273273272272271271271270269268268268268269269269269269269269269268268268268268269268268268268268267267268267267267267267266266266266266266266267267268268269270270269269269269269269268268267267267267266266266266267267268267268267267268268269268267266267267267266267267267267268269269269268269269269270270271272273273273273273272271271271271271270270271271271271271272271271272271270270270270270270270270269269269269269269268269268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276277276277276274276277277278280282282283284281281280279279280280278281278277278277278276275276274275272271271270268267266266265266266266265262259258251248251254253253253249250249251252247249247255258264262262262265266269271274276279283285288289290293294295297298299999295296298298299299300300300299298299297297293293999999999999999999999999999999999999999297295999286999278274278293295301301300305308999999999999999999999999999278280288288291293999999999999999999999999999999999294296297297296297299299300300300301301301301301301301301300301301302301302303301300298299300299298298298298299299300300300300301301301301300300300300299299299299299300300300300300301300300301300300300299299299299299299299299300300300300300301301302301300301300300300299300299298299299298298297296297296296296297297297297297297296296296295296296295296295296298296296296295296295294295293294294294294294294294295296297296294292291292290290290291291290289290289290290290289287288288288288288288289288288288289289289289289289289290290290289288287288288288288289289289288287288289289288289289290290289288287287288286287286287288287285281279280280281281281280281280280279281280279279277276278275275274273275276279279279279279279279280280281281282282282282282281281281281280280280280280279279279278278279279278278278277277277277277277277277275276276275275275274275274274274274274273273272273272272272272272271271270270270270270269270269270269269269269269269268269269269268269268268269268268268267267267267266266266265265266267267267267268269270270269269269268268268268268267267267267266266266267268268268268268268268268269269268266267267266267267267267268269269269268269269269270270270271272273273273273273272271271271271271271271271271271271271272272272272271271270270270270270270269269269269269269269269268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281278279278279280281281283284284285286284282280279278279279278278280279278277279279278276274273272271271271270268266266266267266266266264262263260253255256261261261254252249255254256254259264262267266265264268270272275278280283286288290290292294295296298299298297297298299300300299299300298297294293294295292291999999999999999999999999999999999999999297296290280280275274999999302302302300304999999999999999999999999999999283282289290290293999999999999999999999999999999999295297299299299299300300301301301301301301302302302302302302302302302302303302302301301301300299295299298299299300300300300301301300300301300300300299298298299299299299299299299300300300300300300300300299299300300300300300300299300299300301301301299300301300299300300299299299298299299298298297295296296297297295296297297297296296296295295294293295295296295296295296296295295294294295294294293294294294294294294296296293292292291292292292291292291291289290289290289287288287287288288288289290288290289288289289289289289290289290288288289287287287288288287288289288287286285286288287288289290290290289290288287287286286289289287286284280280280280279281280280280281279279279279278277276276274274276278278279280280279279279280280281281282282282282282282282282281281281280280280279279279279278278278278278277277277277277278277277277277276276276275275275275275274274274274274274274274273273273273273273273273273273272272272272271271271271271271271271270270270270270269270270270270270270269269269268268268268267266266266266267267267267267268269269270269269268268268268268268267267267267266267268268268268269269268268268269269269267267267267267267268268268269269269268269269269270270271272272273273273273273272271271271271271271271271271271271271272272272271272271270270270270271270269269269269269269269268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284279280279281282284286286286287287287284282280278277278278278279279277277276279279277277275274274273273271271268267267267267267266266267267259264262262263263262257257256256257262264265268269268272274273274275278279280284285287288290291293293295296297298299299299300300301301298298298299295293292291292293999292294295293999284285289288290288999999999288295283267267270999999999305999999999999999999999999999999999999999999999281286289289999999999999999999999999999999999298297299301301300303301301302302301301301301302303303303303303302302303302302301301301301301301300299299299300299300300300301301301301301301300300300299299299299299299299299299299300301300300300300300299299300300300300300300299298299299300301302302300300300301300300299299299299298299299298297297297297296297296296296297297297297295296295295295295295295295296296295296296295295294294294294294293293293295294294294295293291292293293293292293293291290289289289289286288288287287288289288289288289289290288289289289290289289290290290290290289286286286287286287287288288287286286287287288288289291290289290290288289288286286289288286285284280280280279278281279280280278278279279278278277276277278279279281281281280280279279280280281282282282282282282282282282281281281280280280280280280280279278278277277277277277278278278278278278278277277277276276276275275275275275274275275275274274274274274275274274274274274274274274274274274273273272272272272272272271271271271270271271271271270270270270269270270269269269268267267267267267267267267267267268269270270269269268268267268267267267266266267268268268268269269269269269269269269268267267267267267268269269269268269269269269270270271272272273273274273273273272271272272271271271271271271271272272272272272271271271271271271270271270269269269269268269268268268268269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283281282284285287289288288290288287285282281277276278277279279278278276278279278278276275274273273271270269269268268268268268267268268268267265259264258257258258260265265267269270271273274273275276278279281282283284287287289291292293294295296296297299300299300300301301299999296296293294294293290999999999999999296294291289290289292288288286287273273271270271273999999999999999999999999999999999999999999999999999999999999284291295296297999999999999999999999999999298299299301302301302301302301302302301302302302302303303304303303302302302302302301301300300300300300300299299300300300300300300301301301301301300300300299299299299299299299300299299299299298300300300300300300300299299299299299299299298299300300301301301301301301301300300299299298299299299298296297298297297296296296296297296296297294294295293295295295294291295295295295296296295294294292293293293293293293294294294294293293293293293292292293292291291290290289288289289288288287288289290288289289290289290290290290290290287290291290289288287286284285285287287288288288289289286287287287287287290289287288289288287286288287288288286286285281279278278278280280280279279280279280280279279279280279281281281280280280280280280281282282282283282283283282282282281281281281280280280280281280280279278278277278278278278278278278278278278278277277277276276276276276275275275275275275275275275276275275275276275275275275275275275275275275274274274274274274274273273273272271271272271271271271271270270270270270270270270269269269268267267266267267267267267267268269269269269269268268267267267267267268268268268269269269269269269269269270268268268268268268268269268269268269269269269270271271272272273274274274274274272272272272271271271271272272272272272272272272272272271270270271270270270269269269269269269268269269268269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282282285286290290289289290288287285282280275276278277279278278278278277278278277275277275273272272270269269269268269269269268268268267267266265265259259261261262269271271271271271273274274275280280279279283284285288290292294295296296296295296298298298298299300300299298999295294293290290290290999999999999999999295294293293291291285284278276275276281283281282999999999999999999999999999999999999999999999999999999999300299301302302301298297999999999999999999299300300300302300301301302302301301302301302302303303303303304303304303302302302301301300300300300300300300301300299300301301301302302302302301301300300300300299299300299300299300300299300299300300300300299299299299299299299299299299299299300301301301302301301301301301299299300300299300298298298296297298297298297296296297296297295296295294294295295295294295296296293294295295294294293293292292292293294294294293293292294294292292291291289290292291291290290290289289290290290289288288290290289290289290290289290291291291290290290291291290290288288287287287286286287288287288287287287286287288287288288288288288289288289288286289287285285285282279278279278279280279279280280280281280280280281281281281282282281281281280280281282282282283282282283282282282282281282282281280280280280281280279279278278278278278278278279279279278278278278277277277277277276276277277276276276276276276276276276276276276276276276276276275276276276275275275275275275275275274274274273273272272272272272272271271271271271271271271271271270270270269269268267267267266266266266267267267268268268267266266267266267266268269269269269269270270270269269269270269268268268268268268269269269269269269270270271271272272273273274274274274273273272272272272271271272272272272272272272272272272272271271271270271271269269269269268268268269269269269268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284284287288290291290290291289287286282280275276279277280279279278278278279278277278277274273272271270269269269269270270269269269268263263262259266260261268270272273272271271269268269269269278281281282283284285288291293294296297297297297297298298297298298298298298296296295294290289289293294999999999999999999999298295298297999999283282280281284286287286285999999999999999999999999999999999999999999999999999999300300302304304304304304300297999999999999999999300301300301301301301300300301301301302301302302303303303303303303303303302301301301301301301301301300300301301300301300300301301300301301301300300300300300300299299300300300300299298299300299300299299300300300300299299298299299299299298299300301301301301301302301301300300301299299298298298299299296297297297296296296298295296297296296295295295296295295295295294292293294294294292292292293292292293293293294292292292291293292292290290290290290290291292291291290291290290289289288287289291292290290289289288289291291290290290289291290290290289289289287289289288286287287287288287288286286287286286286287287287287287287285286283289287285285284283280278278279279279279278278280280280280281282283283283284282282283282281280281282282283282283283283283283282282282282282282281280280280280280280279279279279279279279279279279279279279278278277277277277277277277277277277277277277276277277277277277277277277277277277277277277277276276276276276275275275276275275274274274274273273273273273273273273272272272272272272272271271271270270270269268268267267266266266266266266267267267267266266266267267267268269269269270270270270270270269270270270268268268268268269269269269269269270269270271272272272273274274274275274274273273272272272272272272272272272272272272272272272272271271271271271271270270269269269268268268268268268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286287289290292292291291291289288285281280274278280280279277278278277278279279278277277275273273272270270269270270271270269269269267262263267261262268268269271271271270269270266999999270276281283285285287286289291293294296296298298297297298298298297296297297296295293294291289287289999999999999999999999999999999999999999999999999999278276277281283284999999999999999999999999999999999999999999999999999999999300301302303304304304304304303301999999999999999301302301301300302302301301301301302302302302302302302303304304304303303302302301301300300301302302301301301301301301300301300300300300300301301300300300300300299300299299299299299299298300299300300300300300300299300300300299298299299300300300300301301301301301301301301300299299299299299299299298298297297297297297297296296295295296296295294295296295295295294294294293292294294294294293293291292293293294294293293293292292290290289289289290289290290291291292291291291290289290289289288290291292291290289290289291291291291290290289288291289291290288290288289289288287287285287287286286286286286286285287287287288288288288288287288286284284286285284281278278278278278279278279280279280283284285283284283284283280280282281281281282282283283283283283283283283282282282282282281281280280280280279279280280280280280280280280279279279279278278278277277277277277277277277277277276277277277277277277277277277277277277277276276276277277276277277277276276276276275275275274274274273273273273273273273273273273273273273272272272272272271271270270269269268267267267267267266266266267266267267266267267268268269269270269270270270270270270270270270270269269269268268269269269269269269269269270271272272273274274274274275274274274273272273272272272272272272272272272272272273272272272271271271271270270270270269269269268268268268268269270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287290292293292291291290289286285281278274280280280277277278279279280279279278277276275273272272270270271271271271270270268268268264267267262268269268269270273271270999999999999999999281285286290288287289292293295296296297298298298298297298297296296296296293289286290291294999999999999999999999999999999999999999999999999999999278276272274278284289999999999999999999999999999999999299299298298300999999999302303303303304303303304304304303299298297298301302302301300300301302302301303302302302302302302303303303304304303304303302302301301301301301301301301301301301301301301301301300300300301301301300300300300300299299299298299299299299300300300300299300299300299300300300299299299300300300299301301301301301300301301302301300300299299299298299299298298297297296298296296296296296296296295293295295295295295295294294293295294294294293293293291291293292292292292292291294294293291290290291290290290290290290291291291291291291291291291290290290290290289291291291292292291292291291290290289289290290290289289288289289288287286286287287288288288288287286286286286287287288287288287289289286286286286286284280278278278278277279279279281282283283283284285285285285282280281282281281281282283283283283283283283283283282282282282282281281281281280280280280280281280280280280280280280279279279279278278278278278277277277277277276276276276276277277276277277277277277277277277277277276276276277276277276276276276276276275275275274274273273273273273273273273273274274274273273273272272272272271271270270269269268268268267267267267267267267267267267267268269269270270270270270271271271271270270270270270269269269269268269269269270270270269269270272272273273274274274274274275274274273273272272272272272272272273273272272272272272272271271272271271271270270269269269269269269269269269270271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288286290292293293292292290288287284281277276279279279280280281281280280280279278278277276274273272272271271271271271272270269269268268267267268269268268269271273271999999999999999999999281285287290290290291294294295296296297298297297298297299297297296296294288284292999999999999999999999999999999999999999999999999999999999999294287279273268275286288999999999999999999999999999299300299298297298300301999301302303303302303303303304305305304300299300300301302301301300301303303303302303303303302303303303303304305303303303303303302302302301301301301301301300301301300300300300301298299300300301302302301300301300300300300299299300299299299300300300299299300300300300300300300300300300300300301302301300301300300299300302302300300299299298298299298299298298296296295296295296295296295295295294294295294295295295294293293293293294294294293292294292291293292291291290291292292292292291291289291290291290290289289289289290290291292292291290291290290291290291291290291290292291291291290290290289289289289289288288287288289288288287286286287286287288287286287286286287287287286287288289290285285286287287287284280278278278278279278279282283282282283284286285284285281280280281282281281282283283283283284284284283283283282282282282282282281281281281281281281281281281281281281281281281280280280279279279278278278278277277277276276276276276276276276276277277277278278278277277277277276276276276276276276276276276276276276275275274274274273273273273273273273274274274274274274273273273273272272271271271270270269269269269268268268268268268268268269269269270270270270271271271272272272271271270270271271270270269269268269269269270270270270270271272272273273274274274274275275275274274273272272272272272272272272272272272272272272272271271271270271271270270270270269269269270270270271271272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287288291293292293292291289287283280277277278279280282284283283282281281280279278278277276275274273272271271272271271271271271270269268263263264264269270272273272999999999999280282282283286288291292293293294294296296297297297297297297297298296296295292291285291287999999999999999999999999999999999999999999999999999999999999999999290268269274286288291287999999999999999999999299300299298298299301301302301301302302302303303304305305305304301301301302302302300301301303304304303304303303303303304303304304304303303304303303303302302302302302301301302301301300300301301300300300300299300300300300300299299299300299298298299298298299298299297299299299299299300300300300300300299300300300301301302300300300300300300301302302301299299299298298299298297298298297296297296296296296296295296295294294294295295294293293292293292294294293293293294292290291292292292291291292292292291292292290290290291291291291290290291289292292292292291292291291291291289290290290290291291291292292291290290290290290289289288289289288288288288287287288287286287287288286286286286287287287287289288288287290287285286286287287285280278278278277278280281282282283284285285285285286285283282281281282282282283283284284284284284284283283283283283282282282282282281282281282282282282282282282282282281281281281281281280280280279279279278278277277277277277277277277277277277278278278278278278278278277277276276277276276276276276276276276276275275275274274274274274274273273273273274274274274274274274273273273273272272272272271271270270270270270269269269269270269269269270270271271271271271271272272272272272271271270271271270270270269268269269269269270270270270271272272273273274274274274275275275274274273273272272272272272272272272272272273273272272272272271271271271270270270270270270270270270270271272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288291292293293292290288287283280276277278281283283284284283282283281281280280279278277275275276274273273272272271268267272271269268268264264269269270272273273273275278279280282284286286288291293294293293296295297297297297298297297296296296294291287287284286288289999999999999999288289999999999999999999999999999999999999999999999263280277288290292999999999999999999999300300299300300299302302302301300300301301302302303304304303304303303302302303303303302302303304304303303303303304304304304304303303303304304303303302302302302302302302302302301301301300301301300298299299298300300299299299300298298299299298298298299298298299300299299299299300299300301300300299300300299299300300300301301300299299299299300301301301300299300299299298299298298298297297297297296296296296296295295294294294294295293294294293294294294294293292292290292292292293293291291292294294293292292291292290290290291291292292291291291290292292292291290290290291290288287289290290290291291290291291290290290291290290290290289288288287288288287287287287287286286285283285288288288287289288287287286285287286285283286287287288283281278278279279279280281282283284285285285286284284283283281282281281282282283283284283284284284284283283283283283282282282282281282282282282282282282282282282282282282281281281281281281281280280279279278278278277277277277277277277277278278278278279279278278278278278277277277277276276276276276276276276276275275275275275274274274274273274274274274274274274275274274274274273273273273273273272272272271271271271271270271270271271271271271271271272272272273272273273272272272272271271271271271271270270269269269270270270270270270271272272273273274274274275275275274274274273273273273272272272272272272272272272272272272272271272271271270270270270270270270270271271271272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290291290293292291290288288284279278280282284284284284284284283284283282281281280280278276276277275274273273273273272267272271269267268263267268269270271272273275275278276282282284286287288290292293294292294295296296296296296295295295295294293291285284284286287287292298999999999296296999999999999999999999999999999999999999999999282285286294295298999999999999999999300300299301302302302302302302301301301303303303303303304303303303303303302303304303303303303303303303303303303303304304304304304303303303303304303303303302302303303302302301302301301301302302301300299299298299300300299299300300299299299299299299300298300300300301300299299300301301300301301300301301300300300300301301301300300300300300300300300301301300301302302299299298297298298297298297297296296296296296295295294294294294293294293293293293293293293292292293293293293292292292292293292292292292292292292292291291291291292291291291291292292292292292291291291291291290290290290290290291291291291291290290291291290290290290290290290292289288288288287287287287286286285287287288287287288289289289288286288288288287288288288287288286283280279278279281282282283285286284285284285287287285283281283282282282282283283283284284284284284283283283283283282282282282281282282282282282282282282282282282282282281281281281281281281281281280279279279278278278278278278278278278279279279279279279279279279278278277277277276276276276276276276276276276275275275275275275274274274274274274274274274275275275275275275274274274274274274273273273273273272272272271271271272272272272271271272272272273274274274273273273273272272272272271271271271271270270270270270271271271271272272272272273273274274274274275274274274273273273272272272272272272272272272272272272272272272271271271271271270270270270271271271271271272272272273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291290292292291290289288284281282284285284283284284285284283284283282282282282281280280279278277275274273273272272272270269267266267267266268268269271271273275276277275277277278285287288288290292293295295295295295294295295294293293292290290293286288287287288999999297999999999296295292999999999999999999999999999999999999999999281282286292294295294999999999999297299299301302302302302303302301301300300300301301302302303303303303304303303303304303303303302302302302303304302304305304304304304305303304304304304304303303303303303303303302302302301301301301301300300299299299299299299299299299299298298298298298299298300298299300298298300300300300300298299300300300300299299299299299299300299299299297300300301300300300299298297297295296297296297297297297297297296296296295295295294292293293293293293292293293293293292292292292293293292292293292293292293293292292291291291292291291290291292290291291289291292292291291290291291291290291291290289290291291290291291291290290290290291290289290291292291292290289288288287288288287287286286287286287287287288288287287286287287287287287287289287288286285282280279279280281282284285286288284284283285287285284282281280281282283282283283284284284284284284283283283283283283282282281282282282282282282282282282282282282282282282282281281281281281281280280280280280279279279279279279279279279279279279280280279279279279278278277277277277277277277276276276276276276276276276275275275275275275274274274275275275275275275275275275275275275274274274274274273273273273273272272272272272272272272272272273273274275275275274274274274273273273273272272272271272271271270270270271271271271272272272273273274273274274274274275274274274274273273272272272272272272272272272272272272272272272271271271270270270271271271271272272272271272272273274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288291290291292291289287286285285284285285284285285286286284283285284283283284283283281281280280278273275274274272272271268262260265268268268269267269270271273274276277279276282283284284287288289290292294293295295295295295294294293292291289283293291293293291292294999999999999999999999292297999999999999999999999999999999999999999999287288293296297298300999999999298299300301302302302302301301301301301301302302302302302303303303304303303302303303303303303303301302303304304304304305304304305305305304304304304304304304303303303302303303302302302302301301300300300300299299299299299298299299299299298298298299298297298299297298299299300299300300299299299299299299299300300298300299298299299299299299298300298297298299300298298299297295298298296296298297297297295298296296297296295294293292294293292291290291292293291292292291291292292292293292292293292293292294293292293292292291290293291292292291291291291292291291291291291291291291291291291291290291291291290289289290290290290290290291291292290289291291289289286286287286287288288287287287287288287288288288287286287287287286287286289288288285284281278279279280283284284285286284282284283286287285282283282280281283283283283283284284284284284284283283283283283282282281281282282282282282282282283283283283283282282282282282282281281281281281281280280280280279279279279279280280280280281280280280280280279279279278278278277277277277277277277276277276276276276276276275275275275275275275275275275275275275275275275275275275275275275274274274274274274274273273273273273273273273273273273274274275275276276275274274274274273273273272272272272272272271270270271271271271271273273273273272273274274274275274275275274274274273273273272272272273272271272272273272272272272272272271271271271271271271272272272272272272272273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293291291291290289288287286284284284286285285285285286287286285284284284283285285284282282281279273275274273272271270262261266265265266267268267268268272273274275277279281282282285285288289289290292293294294294295294294293294294292999293286291294295296294294294293999999281286999999288297999999999999999999999999999999999999999287291293295298298298298298298297299301302302302301301301301300300300301302302302302302302303303303304304303303303302302303303303303303303305305305305304303303305305305304304302305304304304304303303303303303302302302302301301301300300300300300300299298299299299298298298297298299301300298297297298298299300299299299299298299299299299299299299299299299298301301301301297299299299299299297299298298297297297298296298297297297297297295297296296294294293292294293293292292294291292293294294293293292292290291290291293293292292292292293293293293292291291290292290292292291290291292291292292291292291292292292291291291291291291292291291290290290291291291292292292291292292292292292291291287288288289289289288287288288287288288288289287286286286288287287287286286286287287285282280278278280283284284286286285287288288285286285284283282282282284283283283283284284285284284283283283283283283282282282281282282282282283283283283283283284283283283282282282282282282281281281281280280280280280280279279280280280280280280281280280280280280280280279279278278277277277277277277277277277277277277277276276276276276276275275275275275276276276275275275276276276276276276275274274274274274274273273273273273274273273273274274275275276276276276275275275274274274274273273272273273273273272271271271271272272272273273273273273274274274275274275275275274274274273273273272273272272272272272272273272272272272272272271272272272272272273273273273272273273273273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292290290290289287286284284283285285286286287286289287285285285285284284283283284283281280277275274271272272269267266265260264263265267268267268269272274274275278280281282284285287285287289290291292293294295296295293293293294294999999289293294295297297296295295289289286286999285292295999999999999999999999999999999999999290291293295298299299300301301300300300301301301301301302301302301302302302301303302302303303304304303303303303303303302303303303303303304303305305305304305305304304304304304304303304304305305304303303303303302302301302301301302301301302302301301301301300300301300300300301300299301301301300300300300300300299300300300300300299299299299299300300297298298297299299300300300300300300300300301300296297300299297297296299298298297297297297296296296296296294293293293291293294292292293293293293292292292292292291291291291291293292291293292293292290290291292291291291292292292292292292292292292291292291292292291292292291290291292292291291291290290291291291292292292291290290292290290290290288289287289289289287288288288288288288288288287286285286289288286286284285284284283281282279278279281283284284285285284285288285286285284284282282282283283283283284283284284285284283283283283283283282282282282282282282282282283283283283283284283283283283283283282282282282282282282281281281281281280280280280280280279280280280280280280280280280280280280280279279279278278278278278277277278278278277277277277277277276276276275275275276276276275275276276276276277277277277276276275275274274274274274273274274274274274274275275276276276276276276275275275275274274274273273273273273273273273272272272272272272273273273273273274275274274274274274274274274274274273273273273273272273273273273273273273273273272272272273273273273273273273273273273273273273274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292291290288286284283284285286285285288289290289286287286285285284283285284283280278276274273273267267264263263262261267267267267267268270271272274274276277280281283281282286287288289290291292293294294293294294294295295295294293293293294295297299298296296293291285282282285297299999999999999999999999999999999999283287292294297298300300301301301301301300301302302301301300300300301301302300300301301302302303303303303302303303302301302304303303303302302304305305305304304304304304305304302302303305304304304304303303302302302302301301301301301301301300300300301300300300300300299297297299299301301300298300300299299299299299299299298299299299299299299299299298298298299299299298298298297298298298299300297296297297296296296297297298299298297297296296295296295296295294293293294294290292293292292293293292293292291291291291292292293292292292293292292292292291291292291291291291291291292292292292292292292292292291290290290292291292292292292292291291291291290291291291291290289291292292291290290291291290289287289288288288289289288288287288288288288287287287288284284287286283283283284282283281279280280282284283284283285285285286286285284283283282282282284284283284283284285285284283283283283283283282282282282282282282283283283283283283284283283284283283283283283283283283282282282282282282282281281281280280280279279280280280280280280280280280280280279279279279279279279279278278278278278278278278277277277278277277276276276276276276276276276276277277277277277277277277276276276275275275275274274274274274275275275275276276276276276276276276275276275275275274275274274274273273273273273273272272272272273273273273273274274274274274274274274274275274274274273273273273273273273273273273273273273273273272272273273273273274274273273273273273274274274274274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292290288286285286286286285286288289289290289288287286285283284285283282280277276275273273268267267264264264267267266267267267270269271270273274275278279281282278281288287288289290291292293295294295296294292294295296295295295295295295296298298297298296295999999999999295297999999999999999999999999999999999289287291295297298299300300300299300299300300300301301299299299300300300300300301301301302301303303303303303303303303302303303304303303302303303304305305305304304305305305303304303303304304303303303303302303302302301301301301300301300301301301300301301300299300299298298298299299298298297298300300300298299298299299299299299299299299299299300300299298299298298298299299298300300298298301301298297297297296297297298298298296297297297296296296296296296295295294292294294293292293293292292292292292291290291292292293293293293293293293293292291292291291292291290291292292291293292291292292292291291292292292291291292291292292291291291290290291291290291290291290290290291293292292294292292291292290289289290290291289288288289288287288288288288288288286286289287288284284285285285285282279279280281284284284286284285287285284284283283282283284284284284284284284284285284284283283283283283283283282282282282282283283283283283283283284284284284283283283283283283283283282283282282282282282281281281280280280280280280280280280280280280280280280280280280280280279279279279278278278278279279278278278278278277277277276276276276276276276277276276277278277277277277277277277277276276275275275275275275275275276276276277277276276276276276276276276275275275275275275274274274274274274274274274273273273273273273273273274274274275275274274275274274275274274274273273273273273273273273273273273274274273273273273273273274274274274274274273274274274274274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294292290287285284284284284286288289288289288288287285284283284284283281279277275274273268268268268265264263269268267267270271270271271271273274276280278280281278282289289290291289292293295295295295297295293294294295295296296296296295296296296296297298297999999292295294999999999999999999999999999999999285287289293296296298298299299298298298299299299299299298298298298300299301299300300301302302302301303302302303303303303302302303303304303303304305305305305305305306306304304304303304303304304303303304303303303302301302302302301301301301302301301301302301302302301301301301301301302301301300300300298299299300299299299299299299299299299299298299299299299299299299298299298298298298299299300299299299299299299298298298297297297297297297297297297297297296296295295294294293292292293292292292292292291291291291293293292293294294294293293292292293293292291293292292292292293293293292292293293293292293293293293293293293292292291290291291293291291290290290291291290290291293295294295294294294293291294294293291290290292291290288288289288288288288289289289289289289289289290287287286286283280281280282283284285284285285284284284283283283283283285285285286284284284284285284284283283283283282283283282282282283283283283283283283283283284283284284283283284283283283283283282283282282282282282282282281281280280280280280280280280280280280280280280280280280280280280279279279279279279279279280279279278278278278278277277277277277277277277277277277278278277278278278278277277277277276276275275275276276276276276276277277277276276276276276276276276276275275276275275275275275275275275274274274274274274273273274274274274274274275275274275274275274274274274274273273273273273273273273274274274274274273274274274274274275275275274274274274274274274274274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296293290287284284284284283285288292289289289289287286285285284283282280278276274273274274274274272272271271270270270270272272269270271270271276278277278281282282286289289290291293294295296296295295296295295295294295295297297298297297297296297294296296297999294290294294999999999999999999999999999999999289292293294296297297298299300301300302300299299299298298299299299299299301300299300301301302302302302302302302303304304302303302303303304303303303304304306304304305305304304304304303303303303303304303303302302302302302302301302302301301300301301300301301301301300300300299299298298299298301300299298299298299299298298299299299299299298298298298298298298298299300298299298299298298297298298296298298298298299298297296296296295296296296296296297297297295297295295295294292292292292292292291291292292291291291293293293293293294293293292293293292292292294292293293292290293291293294293292293294293294293293293294294294292292291291291291292291290290290290290289290291292293293292293292291292291291291293291290291291291291290288288288288287288287288288287289289288288288289288287284284283282280282282283283284284285284283283283282283283283284285285285285285283284284285284284283283283282282282282282282283283283283283283283283283284284284284284283284284284283283283283283283283283282282282282282281281280280280280280280280279279280280280280280280280280281280280280280281280280280280280280280279279279278278278278277277277277277277277277277278278278278278278278277278278278277277277276276276276277277277276277277277276276276276276276276276276276276276276275275276275275276275275275275275275275275275275275275275275275275275275276275274274275275274275274274274273273273274274274274274274274274274275274275275275275275274274274275275275275275275274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293291286283281281282283285291291291289289290288287286286284283277277273277274269270268273274273266266265273272272272271270270271271272275277277279280282283283289290290291292294294295295295295295296296296293290292293294295297298298298297296295297294295294295290999999999999999999999999999999999999999292293294296297298296298296298297297296296298296297298298297298298299300301301301301301302302302302301302302302303303304304303302303304304303303302304304306305305306305304304304304304304303304304303303303303303303302302302302302302302302300301300301301301300300300300300299298298298298298299300299298299299298299299298299299299298298299298298298297297297298299299299298299299298299298297296296296298298299298298295295296297297297296296296296297297297296297295295296295295293293292292292291291291292291292291292293293293293293293293293292292293292294294293291292292292293292293293294293293293293292293293295295295294293293292291291292291291291290291291291291292292293293293293293292293293292293291290290290291290290290289287287287287288287288287287287289287285287286288287285286284284283281281282281281282283283282281283283282283283284284285285285285285284284285285285284283283283282282282282283283283283283283284283283284284284284284284284284284284284284284284284283283283283283282282282281281281281281281281280280279279279279280280280280280280280281281280281281281281281281281281281281280280279279279278278277277277277277277277278278278278278278278278277277278277278278277277277276276276277277276277277277276277276276276276276276276276276276276275275276276276276276276276276276276276275275276276276276275275275275275274275275274274275274274274274274274273273273274274275275274274274275275275275275275275275275275275275275275275275275275275275274275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291286282280281280282284290292290289287287289286287285283283277275275276276277270274274274274273266272272272273274272271273274275275276272273281283284287283290292291292293293292294294295295296297296293294292293293294295296297298299300297297296297296295294999999999999999999999999999999999999999290291293295296297298299297296297297296296296294296298298297298300300301301302302302303303302301301302301301302303303303303304303304304304303303302303304304305305305304305305305304304304304305305304303303303302303303301301301302302302302301302301301301301301301301300299298298298298298299301300299299298299299298299299297298298298298297298299297297297298299299299300299299299298298298297297294296297297297298297295295296296297295297296296296296296296297297296295294295297296294294292291292292291291291291291292292293293292293293292292291293293293292293293293292293293292291292293294294294293292291292294294294295294294293293294293293292293291291292291293293291290293294294293292293293293293293292292290289290290290290289289287287288288288288287287287288286287287286286287287288287285284284283281281282282282281281281280282282283284284284286285286285285285285285285286285284284283283283283282283283283283284284284284284284284284284284284284284284284284284284284284284283283283283283282282282282281281281281281280280280280279279280280280280281280280280281281281281281281282282282281281281281281281280279279278278278278278278277277277278278279279278278278277278278278278278278277278278277276276277277277277277277277277276276276276276277277277277277276276276276276276276276276276276276276276275275276275275276275275275275275274275275275275275274274274274274274274274273273273274275275275276275275275275275275275275275275275276275275275275275275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999999999999999999999999288283282282284285286291290290289286286285284286284284281280280278278277273273273274273272272272275273272276273273278277275275274277278279283286287288289291293294293292293293295296297296297295296296295295290292297295296297297298298299299296294296296294999999999999999999999999999999999999999290291292294295295298298298297297298298296297296296297299298299301301302302302302303303303302302303302302301301302303303303303303303304303303303303303304305305305305305305306305304304304304304305305305304304303303303302302302302302302302302302302301302302302302301301301301300300300300300300300299300300300299299299301298298298299300298298298298299300300301301300301300299299300298298299297297299298298298297297293294294296296296297296297296296296296297297297297297296296296295294294293292292292292291291291292293292292293292293294293293293293293293292293294294293292293293294294294295294294292292292293294293295296294294294295295294293293293294294293294294294293294294294294294294294294293293292292291291291291289290289289288287288287288287287287287287286286286286287287287288285285284284283283282282282282281281281281282283284285285284285286287286286285285285286286285284284283283283283283283284284284284284284284284285285285284285285285285285285285284284284284284284283283283283282282282282281281281281281280280280279279279279280280280280280280281281281281282282282282282282282282281281281281280280279279278279279278278278278278278279279279278277278278278278278278278278278278278277277277277279277277277277277277277276276277277277277277277276277276277277277277277277277276277277276276276275276275275275275275275275274274274274275275275275274274275275274274273273273274274275274274276276277275275275275276275276276276276275275275275275275274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999999999999999999999999999286285287286287290290292290289286285283283283284282280280275281280279276273275274274276277275275275275275276277277277276277278279279276284287287288283286291292293292292293293293293294295294294294294295294292293295295295296296299295293294296295297295999999999999999999999999999999999999999288291293293294295295296297296296295294295296295295297299299300300301302301301301302302303303303302302302302301302303303304303304303303305304302302303303305305304305305305305304305304304305305306305304303303304303303302303303302301302302302302301301301300301301300300298298299299299299300300300299300298298299298299298298298298297298298298297298297297300300298297299299299298298300299299299299296297296298296296297296297296296296297296296296296296296297294295295297296298295296294294294294293293292292291292292292292293293293293293293293293293293291291292293293293292293293292293294295294294293293293293294294294294294294295296296293294294294292293294294294293293293293293293293293293293293293292292292290291289290289289290289288288288288288287287288287287286287286287287287287287286285285286285284284283282282281281281284284286286286285286286286289286286286286286286286285284283283283283283284284284285285285285285285285285285285285285285285285285285285285284284284284283283283283282282282282281281281281281280280280279279279280280280280281281281281281282282282282282283283283283283282281281281281280280279279279279278278278279279279280279278278278278278278279278278278278278278278278277277277277278277277277277277277277277277277277277277277277277277277277277277278278277277277277276276276276276276275275275276275274275275274275275275274275274275274275275275274273273274275275274274275275276275275275275275275275275276276275275275275275275274275274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999284288999999287285287289289290291291291287286285283282282282282281280282277282278276274276279276276277276275275275275275277278277277279280280277280284286287288285292292293294294294293293294294293295294295295295294294294292293293295295296296294295297294293294296292999999999999999999999999999999999999290291289294295295294295294293293295295295295296298299300299300301302303302301304303303303303303302303302302302302303302303304304303304304303303302304304304305305305306306306305305305305305305306307304304304304304303303303303301302302302302301302301302302301300300300300299298299299299300300300299300300299298298299300299297298296298297297297297297297297298298299299299299297297299299300299299299297296296297296297297297296296296297296298296296296295296295296297298298297297295296294295295294294293293293293293293292293293293292293293293292292292293292292292292293292292292292293293295294294294293293293293294293293293293292293293291293293293293292292294293293293292292293292292292292293293293292292291291291291290290290290289289288288288288287287288288288287287287287288287288288286287286286286285285284284284283284284284285285287286286287287288286286286286287287286286285284284283283283284284284285285285285285285285285285285285285285285285285285285285285285284284284284283283283282282282282282281280280281280280280280280280280280281281281281281281281281282282282283283282282283283282282282281281280280279279279279279279279279280280280279279278279279279279279278278278278278278278278278278278278278277277277277277277277277277277277278277277277277277277277278278278277277277277277277276276275276276275275275275275276275276274274273275274275274275275275275275274273274274274274274274274275276276276275275275275276276276276275275275275275275275275274275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999999290293291288290291292293292291289286285284284284283283282280280277281280277277278278278277277277277276276277277278278277277277278279279279279282285287284289292292293294294295294293293293294294294295296294295295295294293294295294296297297297295295293297295293999999999298297999999999999999999999289291291294296294295294294294294294295295296297297299300300300301302303303301303303303302302303304303303302303302302303303303303304304304303304303304304304304305305306305305305305306305306306306305305304304304304303303304303302302302301301300301302302302301301300299299299299300299301299300300300300300299299299299299297296298297296297297297298298297296299298299299298301299300300300300300299298299298298296297297296296297297297297296298296297296296298297298299299298296297298297296297296295295295294294294293293293293293293294294294293293291292293292291292292293293293294294295295296294294293294295293294293293293293294293295294294294294293293293293293293293293292292294294293293292292292292292291292291292291291291291289289289289288288288288287288288288288287286288288288288287287287288287287286286285285283284285285286287286287289288287287288288288287287287287287286286285284284284284284285285285286286286286285285285285285285285286285286286286285285285285285284284284283283283283282282282282281280280280280280280280280280280280281281281281281281281281282282283283283283283283283283282282282281281280280279279279279279280280280280280279279279279279279279279279279278278278278279278278278278278278278278277277278278278277277278277277277277277278278278278278278278278277277276276276276276276275275275275275275275275274274275274273274274274274275275275275274275274274273274274274275274275275275276275275276276276276276276276275275275275275275274274275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295297999999999291293293293293293292290289286286285286286285283284280279280279277277279278279279278278278278277277278278278277277277276277278278279280284283287288291291292293293292295295293291292294295296296296295296296296294296296297295297296292295296296295293291291999999999297999999999999999999999289290289291294294294296297295296295295296296297298298298299300301302303304304303303303303303304303304304304303303303303303303303304304304304304304304304304304305306306308306305306306306306306306306308305305305304304303303304302302302302302302302302303302303303302301301301301301301300301301301300300301300301299300300300300299299298298298298298301297296300300301302301302302302299299298298297298299299296298298297295297297297297297297296296295296296296296296298297298297297297298297296296297297296296296296294295294295294294294294294294294294293293295294292294294295295295295294295294294294293292293295293293294292293293294293292293293292292292293293292293293292292293293292291292293292291290291291292291291292291291291291290289289289288288288289289289288288289287286288287287288287287287288287287287287286286285286287286287288287288288288288287289289287288288288288287287286285284284284284285285286286286286286286285285285285285286286286286286286286286285285285285284284284283283283283283283282282281281280280280280280280280280280281281281281281281281281281281282282283283283283283283283283282282281281280280279279279279280280280280280280279279280280280280279279279279279279278278278278278278278278278278278277277277277277277277277276277277278279279279279279279279279278278277277276277276276276276277276276276275275275274274274273274274274274275275275275274274273274274273275274274275275276276276276275276276276276276276276276275275275275275275274274275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297299296297296296294292291290287285286286287288287285282279279283283279279278279279280280280278279279278278278278278277277277278277279280281279282282287290291291291292293293293292290290292294293294294294295295294293293293295295296296296297296295295290293290999999295297999999999999999999999289290291292293294295294293292294295296295297297297298298299300301301303303304303304303303303303304303302304303303303303303303303304304304303304304304303304304305306306305306306306306306306307307308306305305304304304303303304303303302301302302302302303303302302302301301299299299300301299299300299300299299299299299299297297298297297297296297297298298297298297300299302300299299299299298298297299299299299298298296295295295296297297297296294296296295296297298298299299297298298297297297298298298296295296296296296295297297297296296296298296295295295293296294294293295293294294294292294294293293293293293291292292292293293292294293292291292291292293293293293293293293293293293293292293291292292291291291291292291291291291291290290289289289289289289289288288289288288286286286287287286288287287288288288287287287287286287287288286286288288288288289289288288288288288288288287286285285284285285285285285285286286286286286285286286286286286286286286286286286286285285285285284284284284284283283283282282281281280280280280280280280281280281281281281281281281282282281282282283283283283283283283283282282281281281280279279279279280280280280280280279279280280280280279279279278279278278278278278278278278278278279278278277277277277277277277278279279279280279279279279279279279279278278277277277277277277277277276276276275275274274274274274274274275274274275275275274273274273273273274273274274275276276276276276276276276276276276276276276275275275275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297298296295294292293289288289287287286286286284282280277279279279278281279282281282279279279280279278277279279278277278278278279279280280282286287285289290291292289292292291289290291292294294293293294295295294294294295294295295296297297295295292291999999999999295294999999999288288286288290292294293293295292293292294294295295297297297298299300301302303303303303304304303303303304304304304304304304304304304304304304304304304304304304304304305306305305306306307306306306306306307305304305305304304304304302303303303303303303303303303304304303303301301301300300300300300299299300300300299300299299299298297296296295296296296296298298298298297300298298298298299299298298299299300298298299298297296295295295293295296297297295297298297295296296297298299299299298298297297297298298298297297297297297298297297298298295296297297296295295294294294294293294294293293292294294294294293293292293293291292293292292292291294294294293292292292292293293293293293293293292292292291292292291292292292291292291291291291290290289289289289289289289289289288290289289288287287286286286287288288288289289289288287288287287287288288288287288289289290289289289288289288289289288287287286285285285285286285285285286286286286286286287287287287286286286286286286286286286285285285284285284284284284283283282282281281281281280280280280280281281281281281281281281281281281282282282282282282282283283283283282281281281281280280279280280280280280280280280279280280280280280280279279279279279278278278278278279278279278279279278278277277277278278278279279279280280279278278278278278278278278278277277276276277277276276276275275275275274273274273273273274274275275275274274274273274273274273274275274275275276276276276276276276276276276276276276275275275275274275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299296297294292293292291289287287287286286285284283282281278277277278279279280283282281280280280280279279277278278278278278279280279279279277278280286285283289290290292291292289289291292292294293293294295296294296296296294293294295296294295295295294293291291999999999292999999999288287288290291293293293294294295293293293294294296297297298299300300301302302303304305305304304303304304305305305304304304304304305304303303304304304304304304304305305306305305306306306307307307306308307307306306304305305305304302303304305305304304305305304304304303302302302302303302302301301300298299299302302301300299301301300299300298299299299298298298301300299299301299302302302301301301301300300300300299299297298295296294298295295295297298297298298298298298298299299300300300299299298298298298298299298299299298298298298298298297297297297297297297296295295295294294294294293294293294294295295294293294293293293293292293293293294294295294293293293293293293293292293293293292292291292292291292291291292292291291290291290291291291291291291291290290289289289288289289289288288288287288289289289289289289288288288289290290289288288289289289290289289290290290290289289289289288288287286285285285285285285285285286286286286286287287287287287287286286286287286286286286286285285284285285284284283283283282281281281280280280280280280280280280280280280281280281281281281281281281282282282282282282283282282282281281280280280280280280280280280280280279280280280280280280280280279279279278278278278278278279278278278278278279279278278278278279279279279279280279278278277277277277277277277277277277276276276276276275275275275274274275274273273274275274274275274274274273273273273273273273274274275274275275275275275275276276275275275276276275275275275274275274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295293293290289290288287286284285286285285284284281280280280279279278278279281281279280279281281280280279279279279279279280280279279280280278281283284282283285287291291290289289291292291291293294294294294292294294292291292292293294294296296296295294293293292293294292999999286289288288289291293291292294292292293294293292292295296298299299300300301303303304305305305304304304304305304305305305304304304304304304304304304303304305304304304304305305306305306306306307308306306306307306306306305306306305304303303302303304304304304303302303302301301302301301301300300300300299300300301300300301300299299299298298298298295297298297296297297298298298298300297297298300297299299299297298298298297298298297296295295295295297297297297297296296298297296297296297300298299298298298298298297298299298297298297297298297298296295296296295295296296294295295295295294294294293293293294294293293293292292292294294292292292292292293293294293293292292293293293292291293293292292292292292291292292292291292292291292291291292292292292292292292291290290289289289289289288288288288288289289290290291290289289289289289290289290289289289289288289289290290290290289290289289289288288287287286286285286286285285285286286286286286287287287287287287287286286286286286286286286285284284284285284283283283282282281281281280280280280280280280280280280280280281281281281281281281281282282282282283283282283282282282281281280280280280280280280280280280280280280280280280280280280279279279278278277278279278278279279279278278278278279279279279279279279279279279280278277277277277277277277277276276276276276275275275275275275274274273273275274274275274273274274274274273273272272273273273273273274275275276274274275275275275275275274275275275275275275275275275274274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294291290288286286286285281281284284284283283281280279282283282278277278281280279280279280282281281281280281280280280279280279280280276275275281283281283284288288289288289290291290293293293294293293293293292292290291291291292292293294295296296296294293293294292999288286289290289288288290292293294292292293293293293293294294296297299300299300301301303304304305305305305305305305304304304304305304304305304305305303304304305305304305304304305305305305305306307306308306306306305307305305305306306306305305304304304303304304303302302302301301301301302302301301301301299300300299301300300300299300298299298299298298300298297296298296297297298298298298298299299299298299299299298298298297297298297298297295296296295297298297297297296296297297297297296298299298298298297298298297297297299299297296298298298297297298297297297296295296295297296294294294294294295293294293293294293293292293293293293292293292292292293292292293293293292292292293292292293293292292292292292292292292293292292292292292292291292292291292292293292292293291291290289289289289289288288288289290290291291291291290290290289290290290289291290289289291290289290290290290290289289289288288288288287286286286286286285285285286286286286287288288288288288287287287286287286286286286286285285285285285285284283282282282282281281280280280280280280280280280280280281281281281281281281281281282282282283283283283282282282282281281280280280280280280280280280280280280280280280280280280279279279279278278278279279280279279279280279279278279279280280279279279279279280280279278277277276276276276276276276276275275275275275275274274274274274274274274274274274273273273273274273273273273273273273273272272274274275275275275274274275275275275275275275275275275275275275275274274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290295291287287286284283283279279282283284283282282282282282282281279278279281280278280280281282281281280280281280280280282282280281281276280278279283281283284286287286286289290290293293290292293292292292292291290290289289290291291291293294294294292294293293294291289290291292291290290290289291292295294295292294295296293294295297298299300301301301302302304304305306306306306306306305306306305304305305305305305305304304304304305304305305305305305305305305305305305307306306306306306306306305306306306305304305305304304305305302302302302302300301302302302302302301301300300300302299300300298299300299298299299299298301299297297298299299300298298299299300300299299299299299300298298298298297298298297297297295296295297299298297297297297298298297297297298299299299299296297298299298297298298297297298297296296295297297297297295296296295296295294294293294294293293293294294294293293293294293293291292292292293295295294294294294294294292292292292291292293293293292292292292292293293292292293292293292293293292292292292292293292292291292292291289289289288289289289289290290291291291291292292292290290290289291290291290291290291289291291291291290290289289289289288288287287286286286286286286286286286286287287287288288288288287287287286286286286286286286286285285285285285284284283282282282282281281281280280280280280280280281280281280280281281281281281281282282282283283283282283283282282282281281281280280280280280280280280280280280280281281280280279279279279279279279280280280280280280280280280279279279279279278279278279279279279278277276276276276276276275275275275275275274274274274274274274274273274273274274274273272272273273273272272272272273273273274273273273275275274275275274275274275276275275275275274275275275275276275275274274273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293292292291290288284280277277278278281283284283282283281281281282281280280281281280278281280279282280281281282281281280281283280281280282282282281283283283282285285285286287287289291292292291292292290290290291290290291291290291291292290291291291292292292294292292290291291292290292292290289291290291292293293292293294295295296295297298299301301301302302302304304305305306305305306306306305306306305305306305305304304305305304304304304304305305305306306307305306305306306306306306306307307307306306307306307305305305305304305303303302302302302302301302303303304304303302302302302302301301300299301302302301301301300298302300300299299301300300300300301302302302302301302301302302302301300301301300300300298300297300297299299299298298298297298298298297298299299299299299298299297299298298298299299299300299299297298298298299299297298297297297296297296295296296295296295295295295294295295295295294293293293293292292292293292293293293293293292291292292292292291292292291292293292293293293293292293293294293293293293293293292293293293292292292292290290289288289289290290290291291291292292292292292292291289289291290289292291290290290291291291291290290290289289289289289288288287286286286286286286286286286287287287288288288288288288287287286286286286287287286285285285285285285284284283283282281281282281281280280280280281280281280280281281281281281281281281282282283283284283283283283283283282282281281281280280280280280280280280280281281281280280280280280280279279279279280280280280280280281280280280279279279279279279278279279279278277276276276276275275276276275275275275274274274275274273273274274274273273274274274273273273273273274272272272273273273273273273273273274274275275275274274275275274275275275275274275275275275275275274274274274273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298296293292291290290289286280278278275277281282282284283283284283282283283282281279278281281282283281281282281282281283284282281282284283283282281282276281283284281282283285286286288289290291292292293292292292291290290289289287287287288289288289290289292293292291290291292292291290289999292293293291291290290291292292292291294294295297296298299300300301301302303303303304303304305305305305306306305305305305306305306305304305304305304304304304305305305304305305307307305306305305306306308306306306306305305305306306304305304305305304303303302302301301301301301300299299301300301301301300300300299299298299299300299300299300297297298297298298298298298297298298298299299299298299299298298298298297297298298298298298299298298297297298299298298298298298299298295299299296296296296297297297297297296295297297298299298297298297297297297297296296296297296294295296295296295294294294295294293293294294293293293292293293292293293293292293292292293292292292292292292293292292292292292292293293293293294293293294293294294294294293294293293293293293292291292292290290290290290290290291291291291292292292292291291291292291291290291290292291292293291291290291291290290290290290290290289289288288288287286287287286286286286287287287288288288288288287287287287287287287287287287286286286285285285285285285284283282282282282281280281280280281281280280281280280281280281281281281282282282283283283283282283282282282282281281281281281280281281281280281281281281281281281281281281280280280280281281281281281281281281281281281280280280280279279279278278278277277276276276276275276276276275275275275275275275274273274274274273273273273274274273273272273273273273273272272272273272273273273273273274274274274274273274275274274276274275274275274274275275275275274274274273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303301301298295293290289288286283275275276276279279281283285283285286284284284284282281278279281281281283283282282281282281282282282285284282281281282281282277278283284282282283284286287288288290290292293294292293293292291290287286288288288289288288290288290291292293293293292291290292293289999291292292291290291291291292292292292292293293296297298298299300301301301302302303304304305303306305306306305305306306306304304306304305305305304304304304305305306305304305304304306306306305306305306306307306306306306305306306306305305305305305304303302302301301301301300300300298298300300302300300300300300298299299299299298299299299299297298298296297297299299297296298298298298298298298299299299299298299298298298298299298300299299299297298299299299298298298299299299298298296296297295298297296295298297296297297296297296297297297297296297297297296296296296296296296296296297295294294294294294294293293293293294293293293293293294293293293293293293293293292292292292293293293293292292292293292293293294294293293293294293294294294293294295294294294293293292292291291291291291292291291291291291291291291292291291292293293292292292292291292292293292291291290290291290290290290291291290290290290289289288287287287287287287287287287287288288288288288288288287287288287287288287287286286286285286286286286285284284283282282282281281280280280280280280280280280280280280280281281281282282282282283283283283283282282282281281281281281281281281281281281281281282282282282282282281281281281281281281281281281281281281281281281281281281280279279279278278277277277276276276276276275275275275276276275275275274274274273273274274273273273273273274273272273273273273273272272272272271272272272272273273273274274274273274273273274274275275275274275275275275275275275274274273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303302302302301299296294292290287284279278279280281282282283285286288286286286284281287285281281282281281281282283284278278278278279284285284282284282282281281281281283283284282281283285287287289291291291292293293292293292291290290287287288288288288288289290290291291292291292292292291288292292291289292292292291291292292292292292292293293294296297297298299299299300300302302302303304304305305305306305305306306306306306306305306306306305305305304304305304304304306304305305305306306305305306305306306306308306306306306306306306306305304305304303303302301301301302302302301300300301302301301301301300301301301301301301301301302300301299301300299299299300300301299299300299301301301300298299302300302301301300301302300301301302300299298299299298299299298298299299299299299299299298299298298298296297298299297297297298297297296294299297297298297298297297297297297298298297297297296296295295295295295294295294293295294293294295293294295295294294294294294294293293294293293293292292292292292293293293293293294294294294294294294294295295296295295296294294294293292293292291291291291292292291292291292292291292291292294294294294293294294293292293293291292291291291291290290290290291291291290290290290290289288288288288287287287287287287287288288288288287288288288288288288288288287287286286286286286286286285284284284283283283283282281281280280280280280280280280280280280281281281282282282282282283283283283282282282282281281281281281281281282282282281282282282282282282282281281281281280281281281281281281281281282281281281281281281280279279278278277277277276276276276276275275275275275275275275274274274274273274274274274273273273273274274273272272272272272273272272272272272272272272272273273273274273274274273274274275275274274275274274274274274275275274274274273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302299299301301299297295293291290288284285278278279282282279281284284288286287284283284281279278280280279283283282282284282283282282283286286285284283281284282282280280284285286283283285286287288289291292292293293293292293293290290290289290290290290290290290291291291291291291291291291999290291289999290292293292292294293292292292293293294295296297298298298298299300301301302302302303304304305306306306305307306305306306306306305306307307306305305305304305303303304304304304304305305305306305307306306307307306307306307306306306306306304305304304303302301301301300301300301300300300300302301301300299299298298299299298300299300300300298299299297297298297298297297298298298298299299299298299299299298298299298298298299299301301299300299299300298298298299298298298299299299300299297296296298298298297297297295298297296297297298298297296296298298298296295298297296297296297296296295295293294294294294294294294294294294293293294294294293294294293294294294294293293293294293294293292292291292292293293293293293293293293293293293294295295295295295295295295295295294294293293293291292292292293292292291292292292292292293294294294293295294294294294294293292292292291290290291290290290290291291291291291291290290290289288288288288288288287287288288288288288287288288288288288288288288287287286286286286286286286286285284284283283283283283282282281281281281281281281281281281281281281282282282282282283283283283283283282283282282282282282281281282281281281282282282282282282282282282282282281281281281281281282281281281281281281280280280280280279279278277276276276276275275276275275275275275275275275275274274274273273274274273273273273273273274273273271271271271271272272272271272272272272272272272272272272273273273273273274274275274274274275274274274274275275274274274274273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999298299300301298288288297300298296294291290289288285283279279278279279280281282288289291292285284285284283279278282282284284283283284285285284282282286285285284283283284282281283284285286283284284286287287288290292293293293293293292293291290290288288289289289289289290291291291291292292291291291999999999292289287291292292293292292292292294293293294294296296298299299299300300300301302303302303304305305305305305307307307306304305306305305305306307306307306306305303303302303304304303305306304305304306305306306306308307306306306307307306306307306304304303303302301302301301300302300300302300300300301300300300299300299299300299299298299299300300298300298298298298299298298298298299298299299299299299299299299298298299299299299299299298301299299300301300299298299299299299298299299300300300299297297298298297297297298296298296297298298298298296296296297297298298298296296297297297296297296295294294295295295294294294293294293294294293293294294294294293294295294294294294294294294294295294294293293292293293293292293292293294294294294294294295295295295295295295295295294295295294294294294293293293293293292292293292292292293294294294293292293295294294294293293293292292291291292291291290291290291291291291291291291291290290290289289288288288288288288288288288288288289289289289289289288288288287287287287287287287287286286286285285284284284283283283283283283282282282282282282282282281282282283282282283282283283284284283283283283283282282282281281282281281281281282282282282282281281281282282282282282281281282281282281281281280280280280280280280279278278276275275276275275275275275275275275275275275275274274274273273273273273273273273273273273274273272271270271271271272272272272271271272272272272272273273272272272272272272272274274274274274273273274273274274274274274274274273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299297291999999999298299296293289286286286283281278279276277280283282288288285287292286284284284283283283283282283285284284283284285287284286286286285286285284284284281284282286282284286285287286287288290291293293293292293293292290291291289288288287288287289290290292292292293293293292291289999289291291291290292291291292293292292293293293294295295298298299299299299300301301302303302303304304305305305306306307306306307304305305305306305305306306305305305305303303303303304304304305305305304304305305306306307306306307307308306306306306306304304302302301301301301301301300301300301300300300300299299300300300300301302299300298299299301298301300300299298298298299298299297299298299299298299300299299299298297298298298299300300301301300301302301299300300299299299299299299299299299300300297297299298298298296297298298297297297297297298297296296295297298298297296295297297296296296295295296294295294295294293294294294294293293293293294294294294294295294295295295295294294294293295294294295294294294294294293293293294295294294294293294294295294295295296294295295296296296294294292294293292293291293292292293293293294294294294294296292295296294294294292292292293292292292291291291291290290291291291291291291292292291291291290290289289289289289289289289289289289289290290290290290289289289288288287287287287287287287287287286285285285285285284284284284284283283283283283283283283283283283283283282283282283283284284283283283283283282283282282282282282281281281282282282282282282282282282283282282282282282282282282282281281280280280280280279279278277276275274275275275275275275275275275275275275274274274274273273274274274273273273274274273274273272272271270270271271271271272272272272271272272271272273272272272272273272273273273273274274273273274275273274274274274274274274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298292288285999282281279275273274277283285288285289290286286286285284286290286285285285284286286286284285285287286286286286284285286287285279284282286286287287288286287286288288289291292293293291293292292291291291290289289290290290292293293293293294293293294293292291291290288288288291290292289289293293294294294295296296297298298298298298299300301301301303302303303304305304305306306306307307307307306306306307305308306305305306304304304304304304305305305305304305305304305305306306305306306306306307307306306306305303303302301301302302302302302302301302302301301301301300300302302302301301302302302302299301302301301300300301302300300300300300301301300300300301302302302301300300301301302302303303302302303301301301301300300300300301300299299299299298299300300299299299299299299298298299298298297298297296295297294296299298297297297297298298298298297297296296296296297296296296295295295294295294295294295295294295295295295295295296296295295295295295295296296296294294295294295294293294295295295295296294295295295294295296295295296295295295295295295295293294294293293293293292293293294294293293295293294294295295295294295294294293293292293292291290291291291291291291291292292292292292292292292291291290290290289289289290290290290289290290290290290290289290289288288288287286287287287288288287286286286285285285285284285285284284284284284284284284284284284284283283282283283283283284284283283283283283283283283283282282282282282282282283283283282282282282282283282282282282282283282282281281280280280280279279278278278277275275274274275275275276276276276275275275275275275275274275275274274274274273274274274274273272272272271271270271271271271272272271272272272271272272273272272272272273273273273273275273273274274274275273273274274275274273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292288281999999999277276277280282286289290290285286290291290289289289289287288286286288286287287285287286286287286285287284284286285285281282282280282289286288288286288291290291291292291291291290290290288289290290290288289289291292293293293292292292293294293293292292290288289290292290291291291291293294294295295296297297298298298298298299300301301301302303303303304304306306306306306306306306307307306307307307306305306305304304304303304304304304304305304304305305305304305305305305305306306306307307306306305305304303302303302302302303303301302300301301300300299297298300300300301301301301301301300301301300299300298298298300298298298299299300298297298298297301301301298298298300298300298303303299299302299299300300300301300300300299299298298299299299299299300299297297298298298297298296296296297297295294296295297297297296294297297298298297297297296296296297296296296296296294294295294294293293294293294295294294295294295295295295295295295294295294296295295295294294293294294294294294295295296295295296296296296295296296295296296296296295295294294293293293294294292293292292293294294294296295295296295296295295295294294293293293293293292292291292292292292292292292292292292292292292292292291291290290290290290290290290290290290290291290291290290290290289289289288287287287288288289288287287287287286286285285285285285285285285285285285285285286284284284284283283283283283284284284284284284283283283283283283282283282282283283282283282282282282282282282282282282283282282282282282281281280279279279279279278277276276275274274274274275275276276276276276275275275275275275275275275275274274274274274274274274273272272271271271270271271272272272272272272272273272272272272272272271272272272273273273272272273273273274274274274274275274274273274273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281278275999282275279284284287289290289286287285288289290290289289288288287286287288289287287286286286287287286285283283285285284283284280281281288288288288289289289290290291290291290289289289290288289289289290290291291291293293293292292292290293293294292294294293292292293292293292293292293294294295296296297298299299298296299298300300301302302302302303304305305306306306306307306306307306307306308308306307306306305304305305304305305305305305304305304304304304305305305305305306306306306306306306306305304304302302303303302302302302301303302301303301299300299298299300301300300300301301301301299302300300299299299299298298298297299301302298298297298298299300300301300301299298300302300301302300300299299300301300302301301301299299298298299297300300299300299298297299298297297296296296296297297298297296296296297297297298299298298297297298297296296297297296296297297297297295295295295295294294294294294295295295294294294295294294294295295295295295296296295296296295295294295294295295296296296296296297297297297297297296297297298298296296294292292292293293294294294293292294296295295295297297296298296295296295295294293293294293292292291291292292292292293292292292292292292292292292292292291291290290290290290290291290290291291291291291291291291290290289289288287288288288288289289288288287287286286286286286286286285285285285285285285285284285284284284283282283283283284284284284284284283283283283283283283283283282283283283283283282282282282282283283283283283283282282282281281280280279279279279278277276275274274274273273274275275275276276276276276275275275275275275275275275274274274274274274274273273272271272271271270271271272271272272271272271272271271271272271271271271271272272273272272272273273274274274273274274275274274273273274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274275275278281284285289287291290287286287289289289289288289286285287286288288288288287286285286287284285283285286285284285285286283285286287288288288290289289290290288290290289289289289289289289289289291291292292293294294292293294293292294293292292294293293293293293293293294295293294294295297298298299298299299298298300299301302301302303303302303304305305306306306307307306306307306305305307307306306306306306305304305305305305305305306305304304304304305304305305306306306306307307306306306306305304304302302303303302301303303302302302302303302300300301301302301300299300301300300300302301299301299299299299299298298298297300300302298298298298298301300299299301302302302302302302303303301302300303303303303302301301300300300300300299299299300300299299299300299298298298298299297299296298299297297297297298298299300298301301299298298298297297298298297297296297297297296296295295296296295295295295296296296295294294294294295295294295295295295296296296295296296295297295296296297297296296296297297297298297296298297298297297298296294293292293293292293293295294293294294295295295294294296296298297296297295295294295295294294293293293292293293293293293293293293293292292292292292292292291291291291290291290290290290291291291291291291291291291291290289289288288288288289289289288288288287287287286286286286286285285285285285285285285285285285284284284283283283283283284284284284284284284284284283283283283283283283283283283283283282282282283283283283283283283283282282282282281280279279279279279278277275275274273273273273274274275275276276276276276276276276275275276275275275275274274274274274273273273272272271271271271271271271271271271272272272271271271271271271271271271271272272272272272272272273274274274274274274274274273273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280280274276277281283283288289290290289288287288289289289289288287287287287287289289288288288286286286283285285286287285285286287287286285286289288289288288289289289289288289289289289290290290290290290290291291292292293294294294295294293293296296293296294295295295294293294295294294294295295296297297299300300301300299299302302301302303303302302303303304305305306306305306307307306306306304305307305305306306306306306305305305305305305306305305305304304304304303304305306306306306307308306305306306305304303302303302303303302303303303303303303303302301302301301302302302301302303303303302303303300302299301301301301301302299300300298301301301300301301300300299300299300300299300300300301301301299301300301300302302301301301299299300299298298297296296297298297298298296297296299298296296296299298296297297297297297296296299300299298297297295294296296296297295297296297295295294294295294295295294295294294294294295293294294294295295294295295296295295295296296296296295294295296296296297297296297297297298298298296296298298298297297295293293294293293293294294295294294295294296296296297294295296297297296296296296295295295295295294293294294293293293293293293293293293293293293293292292292292291291291291290290290290290291291291291291291291291290290290290289288288289289289289289288288288287287287287287286286286286286285285285285285285285285284285284284283283282283284284284284284285284284284284284284284283283283283283282282282282283283283283283283283283283283283282282282281280280279279279279278277276275274273272273273273274274274275275275275276275275275275276275275275275275274274274274274274273274273272271271271271271271271271272272271272272272272271271271271271271270271271271271271270271272272272272273273273274274273274274274273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285279277276272277278280281286289290290290288289288287288289290290288288287288288288288287288288288286286286283285286287285285284287286288286285285287288288288287288289288290289289289289289290291290290291291290290291291292291292293294295292295294293295294294292295295295294295295293293294296296297296298298299301301302302300301303301303304303303303303303304304305305305305306306304308307307306306305306306305306306307307306306306306307307306306306306305305305305304305305305307306306306306308306306307306305305302302302303303303303303302302302302302302302301301300301301301301300300300301301301301300300299299299299299298299298298298300298299301302301301300300301301301301298300299300300301301301302302301300301301302302301301300297299299300300300298298298298299298298298298297298298296297297297299298297298297297298298297296298297298297295296296297297298297297297296297295296296294294295295295293294294296296295296295295294294294295295295296296296295295295296297297296295294296296296296296297297297297298298298298297298298298297297296294293293293293292293294293293294293295295296296297297297295296296296296296296296294296295295296295295294294294293293293293293293293293292293292293292292292292291291291291290290290290290291291291291291291291291290290290290289289289289289289289289288288288288288288287287287287286286286286286286286286285286286286285285285284283283284284284285285286285285285285285284284284284284283283282282282282283283283283283283283283283283282282282282282281280280280280279279278276275274273272272273273273274274274274275275275275275275275275275275274275274275275275275273273274273274273272271271271271271271271270271271270271271271270271271270270271271270271270271272272272273272274273273274273274275275275275274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280999999278277275277280282283288289291290288288288288288288290290290289289288287288288288288288289287287287287284284285285286284285286287286287286285286288288287286288289289289289288289289289289290290291291291291290291291290292292292295295295295294293294297298292298295296294296294294295294296298297296298298300301300300300301302302302302303303303303303303303305305305305305305304305305305306305307305305306306306306306307306306306307307307307306306306306305305305305304305305306307306306306306306306307306305303302302303303303303303303302302302302302302301301301301302301302302301302302304304301302301301300299299298298301297297299298300298299299301301302301302302302303302299300299300300302302302302301301302301300302303302301300299299300300301301299299297299300298300298297298297296296297298298299299298298298297297297296294293296296296296296296296296299300297298298297298296293294295295294293294294295294294295295295293294295294295295295296296296295294295296297296297296296296296296295295296297297298298298298299298298298299298297295295293294293293293293293294293294296296295295296297297296297295298296298297297296295295296294295295294294294294294293293293293293293292292292292293292292291291291291291291291290290290290291291291291291291290290290290290290290290290290290290290289289289288288288288288288287287287287287287287286286286286286286286285285285284284284284285285285286286285285285285285285284285284284283283283282282283283283283283283283283283283283282282282282282281281280280280280279278277275274273273273273273274273274274274274274274274275274274274274274274274274274274275274274273273273273273272270270271271272271271271271271271271271273271271271271270270272271271272272273272273273273273273274273274274274275275276275275275275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280999999999282282280277279281284282289290291289290289290288288288290289289289289288287288288289288288289287286286286286285284285286286285286287287287287282286286287287287289289289288288287288290291291293293292292291290290290291291291292294293293295293296297297298298298296294296297295295296297296297297298298298297300300300300300301301301302302302302303303303302303304304305305305306306306306306306305306306305305305306305306307307307306307307307307306307307306305304304305304305304304306306306306306306306307306304302303303303303304303303303303303302302302301300301300302302302303303303303304303304303302303302302302301299299300300300299300299299299300300301302303302302303302302303300300302301301302302303301301302302302301301302301300300300300301301301300301301301300300300299300298298298298297298298300301301299299298298299299299298299298298298296297295296299298297298300300298297296295294295298295295296295294294294294294293294295294294294295296297296296296296296297297296296297297297297297297298298298298299298298299299298299299298296295294293293293293293293293294294295296296295294295297297296297297297297297297296295296296296294296295296294295294294294294294294293292292292292292293292292292291292291291291291290290290290291291291291291291290290290290290291291290290290290290290289289289288288288288288288288287287287287287287287287286286285286286285285284284284284285285285285286285286285286285285285285284284284283282282283282283283283282283283284283283283283282281281281281281281280280280279279277276274273273273273273273273273272273273273273274274274274274274274274274274274274274275274274274275275274273272271271271271271271271271271271271270271271271273272271271272272272272273273273273273273273273273274273273274274274274275275274275274275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288283278275279283282287290291291289289290291289288289289290289288287288287288289289289289289288286286286287285284284284284285286286289288287284283286287287287290289289288289289288292291292292292290289289289290290291292293291295295293293296294295295295296296297295296296296295296296299298299298299297298298299301301300301300301302302302302303303302302303304304304306306304307306305306306306306304305304305306305306306308307307307307307307307307307307306305305305305305304305305305306306305306306306306306305303304303303303302302302302302302302301301301301302302301302302303302302302302302302302300300300299300298298299296298298298300299299299300301298299300300300303303301301301300300300302300301302300300300300302301302302301300300300300300300300301298298299298299300297296297296297297297298301301298299298298298297296296297297298297297297297297296297299297298300300300296294294295294294296295296296296295295294294294294294294293294295295294296296297296296297296296295296296296297297297297297297297298298297298298298299299298296295293293293293293293293293293294295295295296295299298296298297298296297297297297296296297297296297297295296294294294294294294294293292292292292292293292292291292291291291291291290290290290291291291291291291290290290290290291291290290290290290289289289289288288288288288288288288287287287287287287287286286286286286285285284284284285285285285285286286286286285285285285285285284284283282282282282282283282281282282283283282282282280281281280280280280280280279279278277276274273273273273273273273273273273273273274274274274274274274274274274274275275274274275274275275275274273273273272271271271271271272271270270271271270271272272272272272273273272273274274275274274273274273274273273274274274275275274274274275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281999999999283281278279282286288290290289289290290290289290291291290290288289290289288289289289289289288287285287287286286284285285286286287287287287287286287287287289290290289290292293290291292292291291290291291290291291291293294293295297295295297294299299298298296297295296295296296296296298299299299299298299300300302302301302302301302302302302304303303303303303305304305306304306307307306306305304304304303305306305306306306307307308306306306306307307307307306306306305305304305305305306305305306306306306306305303302302304303303303303301302302302302302302301301302301302301301302302302302302302304299299300299299298298297296297295296298299299299300296298300300300300300299299300301300301299298301301300301300300300302300301302301301300299299301301299298298298299298299299298297297296297298297297300301298298298296296298300299298298300298298298298297296296298297297299299298297296297297295295297296295297298296296295295294295294295295293293295297297297297297297297296296296296296297297297297296297297297298298298298298298299299298296295294293293293293293293293294294294296296297297297298297298297297297297296296295295296295297297296296295296294294294294294294293293292292292292292292292292291291291291291291290290290290290291291291291291290290290289289290291291290290290290290289289289289288288288288288288288288288288288287287287287287286285285285285284284283284284284285285285285285285285285285285284284284284283283282282282283282283282282282283282282282282282281281281281281280280280280279279277277276274273273273273273272273273273273273273273274274274274274274274275274274274274275274275275275276276275274273272272272272271271271271271271271271272271271271271271272273273273273274274274273273274274273273274274274274274274275275275274275274275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292299293282999282282281281283284289290289290290290290290289291291290291290289290291291289288288289288289288287287287288286284285285284286287289288288288289288288287289290289290290292292293291292293292291291292292292292292293291291295295296293296295295296297299298298297298297298296297299299298297299300300299298299300300300299301303301301302303302304303303303303303304304305305306306306307306307306305305304304304305305305306306306307308307307307307307305305307307306306306305305305305306306305305305305305306306305304303303302303303303302302302302302302302302301301300301301301301304301301300302302300301300299300299298298298296298297296295298299299299300298298300300300300300299299299299299299299300300302302301300301301301299302302302302302302302302302300300300301301298299299299298297298297298298297298302301302298297295297298297298299300299299298298296296298296296297297299298297297297297297297297298297297299297297295295295296295295294296295297297297297297297297297296296296297297297297297297297297297297298299299298298298298298298296295294293294294293293293293294294295295296296297297297298298297297296297296297297296295294295295295296294293294294294294294294293293292292292292292292292292291291291291291290291290291291291291291291291291290290289289289290290291290290289290289289289289289288288288287287288288288288288287287287286286286286285285285285284283283285285284285286286286285285285285285285285284285285284283283283282283283283282283282282282282282282281281281281280280280280280279279278278277276275274273273273273273273272272272272273273274274274274274274275274274275275275275274275275275276275275275274273272272272272272272272272272272272272272271271272273274274274273274275275275274274273274274274274274274274274275274273274275275274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287282283282281285286287288289289286290290290289290291291290290289289291291291291289289288287287288288287286288287285286287288288288289289290289290288291290290290291291291292292291291292293291291291292293293293294294295293291296293295297297297299298299299299299299298299298299298298299298299300300299298299299301301301302303302303303303303303303302302303304304304305305305306305306305306306304304305303305305306305306306307308307307308308308307307305306306306306307306306303306306307306305305305306305306305304305304305305304305304304305305302302301301301300302302302300303303303302302302302301302301301301302300301300298298296296295299299299300299300301302302302303301300300300301301301301300301303304302302302305304303301302302302303303302302301301300301301301301299299299299298299298298298298301302302301300300301301300299298299300299299298297299298298295296296297298297296296297297298298298299297299298297298297294296296295294295295297297297298298298298296296296296297297297297296297297297296297297297299298299298298298298297296295295294294293293293293293294294295294294295296297297297298298298296295297299297295294295295295295295295296296294294294294293293292292291291291291291291291290291290290290291291291291291291292292291291290289289289289289289289290290290290290289290290289289289289289289289289289289288288288288287287287287286286285285285284283284284285285285285286286286285285285285285285285285284284283283283283283283282282282282282282281281281281281280280280280279279279278278278277277276274274273273273273273272272272272272272273274274274274274274274274274274274274274274275274275275276275276275274273273273273273273274273273273273272271271273273273274274274275275274275275275274274275274273274273274274275274275275274274275274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292288284283281280284286287288289289288289289290290290291290291290290291289289290289290289289288288288288288287287286286287288287287288289290291291292291291291290290291290291292292292294292291290290291292293293294295294294297296293296297297295297295296298299297299299300297301299299299299299299300300302300300301301301302301303303303304303303303302302302303304304304305305306305304305305304305304304304302303304305305305306307308310308308308307307307306305306307306306306304303306307307306305305306305304305306304305303302303304303305302303303303302302301300299299302302298303303301301301300303302304299299298299299297296296296296296296298295296299296297298299300301300300299299299299300300300300300303302303299300300303299300301301302302300301302300300300299298298298299298299299299299299298298297298300302302300297297298299298299299298299298298297298298298298298298295298296296296297298298298298297298296297298298297297297297295297297296298297297297297298297296296296296297297298297297297297297297297296298298297298297298298298297296295295295294293292292292293294294294293294295296296296296296297296296297297297297295296295293295295293295294295294294294293293293292291291291291291291291291291291291291292292292292292292292292292291291290290290290290290291290290291291290290290290290290290289289289289289289289289288288288288288287287287286286286285285284283284284285285286286286286286285285285285285285285285284283283283283283283282282282282282281281281281281281280280280279279278278278277277277277277275274273273273273273273273273272272272273273274274274274274274274274274273274275274275275275275275276276276275275275274275274274273273274273273273272273272272272272273273274274274275274274275275275276274275273273273274274274273274275274274274275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289281282281278284284287289288289288289289290291290291291291290290290290289290289289288289289288288290289289288288287288289288288289290291291291291291290290290291290291291291292294294293290289290292293293294295295292297296296297296296293295297298298298298298299297300300299299298300300299300302302302301301300302301302301302302303304303304303302302302303304303304304305305304304304304304304303304304303304304306306306306306309310309309308308307307306305305306305305306306306306307307306305305305305304305306305304303304303304303303302303302303303302300299300300299300303303301301301300302302301301303301298299299298297295295294295295298295299300296297298298300300300300299299300300301300300300300301300301302301300301302299300302303303302301302302301299296298298297298300300300299299299297298297297301302301302301300300299299299299299298299298298297298297298298298295297296296297297298299298299298298297297298300297297297298297297296296297296297296297298298296296296295295296297297297297297297297296296297298297297297297297297296296296295295295293293292293293294294294294295295296295296297297297298297297298299298298297297297295296295295295295295294294294294293292292292292291292292291291291291292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291290290290290290290289289289288287287287288287287286286286285285284284284284285285285285285286285286285285285285285285284284284284283283283283283282282282282281281281281281281281280280279278278278278277277277277277277276274274274273273273273273273273273273273273274274274273274274274274274274274274274274275275275275275275276275275275275275275275275274274274273273274273274274273273273273273274273273274274274276275274274274274273274274273274273274274274276277275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289286281282281280281285287286287288288291290291290291291291291289290290291292291291290289289289289289289290291292291288288290289290290291291292292292291290291291291290294295294294295292291290290291293293293294295295294294297296296297296295296297297298298299297297298299299299299300301300300300302301302299300298300301300301301302302302301301301301301302303303303303303303303301303303303303303304304304304305305305306305306307308308308309308308307307308306306306305306306305306306307307306305305306305304304305305305305306305306307306303303303302303301300302302303302301303302302302301300302302302302303303303300300299298296296295295298299295299296299298298298300301300302300302300300300301300300301301301302304302302301301304301301301301301300301302301300301299300299301299300300298299299299297300301301300299302302299299298300299298298299298299299294295298298298298298297297297296298298299299299299298298299298300299298298297300297297297298298297297298298298298298297297297296298298298298297298297297297298298297298298298298297297296296295295295294294293294294294294295295295295296296296297297297297298299299298299299298298296296295296296296295295295295294294293293293292292292292292292291292292292292292292292292292292292292292292292292292292291291291291291291291291292292292292291291291291291290291290290289289288287287287287287287286286286285285284284284285285285285285285285285285285285285285285285285284284283283283283283283282282282281281281281280281281280280279278278278278278278277277277277277275274274274273273273273273273273273273273273273273274274274274274274274274274274274274275275275275275275276276276277276276274275275275275274274274273274273273273274274273273273273273274275277276274274275274273273272274274275275276275275277278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297290283280279281284285287284285285284288288290290291291291291291291292291292292291292291290289290290290288291292292290289289290290292291291292291292291290291291291291292293294295295295293292292294293291291295292294296294296296296294295295296297297298298299300300299298299299300300301301302301300301301301302303302302300301301300300302301302302302301302303304304303304303303303303305305305305306304305305305305305305307307307308309309308308309308307307307307307305306305306305304306307307306305305305305304304304305304305306306304304304304303303303302301301300300300299301304302303300300300300303299299300300299298299296294295296296296298298298296298299299298299299298299299299300299300300299300299300300300299301301301302301302301300301301301299302301301299298299299300298299300300299299299299300302302302302300302301300301300301300298299298298299298298297298298299300298298298298298298298299299300300299297297298299299299298298298297298297298297295296297298298297297296297297297297297298298298298297297297298297297297297298299298298297296296295294294293294294293295295295295296296295297297297296297297298296298298298298296297296296295295296295294295295294294294294293293292292292292292292292292292292292292292292292292292293293293293293292292292292291291292291292292291292292292292291291291291291291290290290289288288287287287287287287286286286286285284284285285286285285285285285285285285285285285284285285284283283284283283283282282281281281281280280281281280279279278278278278278278278278277277277277276275274274274274273273273273274274274275275274274274274274275275275275275275274274274275275275275275276276276275276276276275276275276275275275274275275275275275275275273273273273273274275276275275275273274273274275276276275274277276276277278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295284279280281282284285286286285287286287289290291291291290290291292292292293293292292291290290289290290290291292292290292289289291291291292291291290289290291291291293293293291292293293293292291295294295296296296294294298296296295296293296294296296298298298298298299299300299300301301300300300302302301301302300301301301301301301300300300302303300301301302303304303305305302302302303303303305305304306306306306307307308308309308308308308307307307309307306307307308306307305305305306306307306305305305305305305304305305306306306306305303302302302303302302302301300300299303303303303302301300302301302300301301301301300295294296297296297297299299297299298300300300299299299298298298299299299299300300300300301300305303301303302302303300300298301301300301301299300299300300298302298299300298298299300300299302302300298302301301299298300299299298298300298297298299299299299299298298299297299299300300300299300300300300299298299298297297297295298298296297297297297298297295296296296297298297297298299298298298298298297297298297297299297297297296296296295295295294295295295295297297297297296296297297298298298298297297297297297296297298297296294296293293295295295294294294293293293292292292292292292292292292292292292292292292292293293293293293293292292292292291292292292292292292292292292292292291291291290290291289289288288288288287287287287286286285285284284284285285285285285284285285285285285285285284284284284284283283283283283282282282282281281281281281281281280279279278278279279279278278278277278278277276275275274274274273273274273273274274274274274274274274274275275275275275275275274275275275276275275277277278277277276276277277276275274275275275276275274274275274274273273273273273274274274275275273274274273274276275275276276277277277277278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289281279277278280281286283284285285286288289291290286285290291292292292293293292291291291292291290290289291291292291291290290290290290291292291290289290291291291291293295293288289293293293293291295295296297293293297294298298296294296293293296295297298298298298297298300300300300301300300299299302301302301302300301301301301301301301301302302302303301301302303304304303307306303304303305306307307306307306307307308308308308309308308308308309309308308308307307307308307308305305306306307307307306306305306305305305305304306306306306304304303303303303303302302302302300300302303303303302302304302300301301301302301300300298295296297299295298298299298298298299299299300300299297297298299299299299299300300300300300301303303303302301302299301300298299301302303299302301302302302303299300300300299299298302301302300301301300300299299299301299299297298299298297298299299299299298297298298299299301301300300299299299301299299298299299298295298298297299297297297298298297297296296295296296297298298298298299299298298298298297298298298299298298298298296296296295296295295296296296296298298298298298298298298298298298297296297297297298298297296296295296295296295295295294294294293293293293293292292292292292292292292292293293293293293293293293293293293293292292292292292292292292292292292292292291291291291290290290289288288288288287287287287287287286286285285284284284285285285285285285285285285285285285285285284284284284283283283283282282282282282281281280281281281281280279279279279279279279278278278278278278276275275275275275275275274274273274274274274274274275274274274275275276275275275275274275275275275276276277277277278278277276277277277276276276276275275275274274274274275274273273274274274275274274274275274275275276276275276276276277276277277278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287281279279278280282283283285285285287288290290289289290288290291292292293293293293292292292292291292290291290290291291292290292292291291291290289290291291291294295294295294293293295293292292293295296297297297294297297297297295295294999999294296297296295296299298299298300300301300300300299300300301302301301301301302303300302301301301301302302304304303302303303303304304303305305306306306307306306307306307308309308309309309308308308309308309307306307307307306307307308305305306306306306307306306305306306305305305306307307306306305304304303303303303302302303304305304303303303303302304304304302303302302302301300299298300297299297295296300300300299299300300302300299299299298299299299299301299300300300301301302302303302302302302302301301301300301301302303302300303303302303302299298300300300300301301301302300300303302302301301300299299300298298299298299299299298298297298298299299299299300300300299298299300300297299299299299299298297298298299298297297297296297297298297297297298299298298299299298298298298297297298298299298298299298297297297297297297297296297297298298298299299300298298298298298298298297297297297298298297297296297296296296294295295295294294294294293293293293292292292292292293293292293293293293293292293293292293293293292292292292292292292292291292292292292292292291291291290289289289288288288288287287287287287286286285285285284284285285285285285285285285285285284284284284284284283283283283282282282282282282282282281281281281281281281280279281279279279279279278278278278277277276276276276276276275275274274274274274274275275274274274275274274275275275275275275274275275275276276276277277278278279277276277277277277276276276276276276275275274274275274274273274275275277275274274275275274271275275275275275276276277278279278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999294292285279279276281283283284284285285286287289290289289289288288289290291291293293293292292293292292292291292291290289291291292292292293291291291289289290290291290293295294293296296296295294291292292293294295297295295294294296292291295999292297296296295296297298299300299296299300300300299301301300302302301299301302302300300301302301301301301302301304299299300300303302304304304303303304305307307307307306306308308309309309308308308308308308307309307306307307307305306306305305304305306306306306306305304304306305305303309306306306306305304304304303303303302302304301302302302301301300300302303303301302301300299296298298295297297298297297298301301301301301300300300299298299299299299299300300300300300300300300300300301302302302301301302303301299301300300301302302301302297301302299301302299300298299299303300301299299298297298299297298299299300299298300299297298298298298298299299299299299299299299300300300298297301297299298299299299299299298297297297296297296297297297297297296296297298298298299299298298298298297298298299297298298298297298297298298297297298298298297298298298299299299299299299298298298297298298297296297297297296296296296296296295295295295295294294294294293293293293293293292293293294293293294293293293293293294294294293293292292293293293293292292291292292292292292291291291291290289289288288288288288287287287287287287286285285285284284285285286286286286285286285285285285284284284283284283283283282282282282282281282281281281281281281281281280280279279278278278277277277277277277277277277277277277277276276275275275275275275275275276275275275275275275275275275275274275275276276277277277277277278278278278278279278278277277277278277277276275275275275275274275275275275277276275274275276274274274275274276276277276276276276277278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288999297291285284282281279277287284285285286286287289289290290290290290289290291292292293293293292294293293292293292292293290291290292292292293291291291288288290290290290292296296295296296295295293294292291293293295294294294294293294295294291295294294296298295296296298298299300299299299300298299299301302302301303301301300300299300299301301300301302301302300301300299301300301301303304304303304305307307307307307306306307308309309309308308308308306307307306306306307307307306306306305306307305306306306306305305305304304306305305304309305306306305304304304304303302302302302303302303303301302302302302302303302304302301299299296297297297297298299296297300298301302299300300300300300300300300299300300300300301299300299299300300302302302302301302302302302302300299300301300297298301300301300299300299299299299298300300301301301300302299298303298298297299299300300299299298300298298298298299301300299300298300299299300300299298299296298297298297298299298297297298297297297296297297297296297298296297298298298298298298298299298298297298299298298299298298297297298298298297297298299299297297297298300300300300299297297298299298298297296297297296297296296296296296295295295295295295295295294294293293293293293293293293293294294294294293293293294294294294294293293293293293293293293292292293293292292292291291291291290289289288288288287287287287287287287287286286285285285285285285286286286286285285285285284284284284283283283283283283282282282281281281281282281281281281281282281281280279279279279278278277278277277278278278278278277277277277277276275275275275276275275275276276275275275275275275274274275275275276276277277277277278278278278277278278278278277277278278278278277276276276276275275275276279277277276276275275274273274274275275275277277276276277278277278280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295291291288286284282282282278284284285286286286288291291289289290292291292292292292293294294293293293293294293293293293292291291291292291291293291290289287288289289292293294296296294295295296293294294294295296295295295293294294294293293293289295292295296298299297296298299300299298298298300298299300302302302303302302301301301300299300300301300301301301302302301301299299300300301302304304305305306307308308307305306307307307308308309309308307307307305305306305306306306307305305307305304305306306306306306305304304304305304304305305306304306306306306305304305303304301301301300301303302301301302302300302301302303302299297297295294296296296297297297298300300299301300300301301300301301300301300300302302301301300300302301300301302302302302302301303303303302301301298302299298298298301298302299301299298299299299301300300301301300301303299303303299302299299301299299298298299299298298297299301300299299298300300300299299300300298297299298298299298298298297298298297297298297298298298297297298297298299298298299299298298299299299299299298299299299299298298298298298298297298298298299297297298299299300300300299298296297298297297297297296296296297296296295295296294296296295295295295295295294294294294294294293294293293294294294294294293294294294294294294294293293294294293293293293293293293293292292291291291291290289289288288287287287287287287287287287286286285285284285285285285286286286285285285284284284284283283283283283282283282282282282282282282282281281282281281282282281280279279279278278278278278277278278278279278278277277277277277277276276276276276276276276276276276276276275276275274275275275275276277277277277277277277277277277278278278278278277278279279278278277277276276276277277277278278279277277276275275275275276277277279277278277277278277279279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294291287289286282280284284284283284284285286287287288291291290289290292293291292293293293294294294294294293293293293293292291292292290292290293292291290287289291291293295294295295295294295295294291294296294294292293293294294294294294292291293292292295293297299297297297298298299298298299301301301301301302303302302303302302302301300300300301300301301301301303303302301301302303303303303304306306306307307307306306304305307306307308307307307308307306304305305304305305305305307306306306306306306306306306306306305305305304305307305306305305306306307306306305305306305304304305303302302304303302302302303301302303302302302300299296293292294296296298296297300299301301301301301301300302301300300300301301301301302301301301300299299300300302302302302302303302302302301299300299299298299303303302302301301300299299299298300301299301300300300298300303298297302300299300298301298299300300298298298299299299298298299299300300300297297297298298296294297296300298297298298296297297298297296297298297297297298297298299299299299299299300300300300299300301300300299299299299299299299299299299299298298297298299299300300299298297294297297297295297296296296296296296295295295296294296296296295295295295295294294294294294294294294293294294295294294294293294294294294294294294294293294294293293293293292292293292292291291291291290289289288288288288287287287287287287287287286286285285284285285285286286286285285285285284284284284283283283282282282282282282282282282282282282282281281281281282282281281280279278278278277278278278279278279278278278278278278278277277277277277277277277276275276276277277277276275276275275275275275276277277277278277277277278278278278278278278278278278279279278278278278277277278280276278278279278278278278277277276276277277278279281279279281279280279280278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299294291288285286284282284285283282281285285286287288287288289290291291292292292292293293293293294295294293294293294294293292292291291291290289290290291290291288289293292294295294295295295296296295292291294296294293291291292292293292292292293999292293295295293293297298298298298300299300299299300302302302300304303303304303303302302301300299299301302301301301300303302302302300301301299304302305306306306307307307307306306305306306306307306306306305305306307304305304305305305305306306305305306306305305306307307306306306305305305305303303303304305305305306307307306304305305306305303301300299301303303302305303303303301301301300298295291291294295295297299298299300301301300301302302302302301300298300301301301302302301300301300299301302301301302302302303304302301302298299299297298298299300302302302302302301298300299299300300297298299298300299299300296301301297299299300297300301301299299300299298299299298297297299299300299296297297298298298296299295297299298298298296297297296295296297297297297297298299299299299299299299298300300300300300300301301300300300300300300299299299298298298297297297297298298299299300298297296298297295294294296296296296296296296297296296296296296296295295295295295294294294294294295294294294294295295293294294293293293294294294294294295293294294294294294293293293293293292291291291290290289289288288287288288287287287287287287286286285285285285285285285286285285285285285285284284284283283283283282282282282282282282282282282282282281281281281281282282281281280279278278278278278278278278278278278278278278278278277277277278278278278277276276276276276277277277277277276276276275275276276277277277277277277277277278277278277278277278278278279279279279278278278278278277277279279279279279279278278277277278277277277281280279279280280280279281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298292287286285286286285286284282281280282287288288289288287289290289291292292293293293293295294294293293293293293293293292291292290290291291290290290290289289289290292293295294295294295296297295294292290291295295293292292292293292293294293293999999295295296299299299296297298298298299298299301302302302303303303303303303303303302301301300301299299301300300302303303302302302300301303300300303303305305305306307306306305306306305306306306306306305307306307305305305305305305304305306306306305306306305305306307307307305305306305304305304304303303304305306306304307306306305306305305304304303301302303303303304305303302303303301298299298295288292295295296298299298299300301300300300300301302300300299300301300301301301301300302301300301300299302302302303303303302302301303300302298299299299299301300299300301302299300299299299300300297298296299299299299296299301301297298300300299300301300301300299299299299298297297297299300300299297299297297297297297296295296298298296297297296296295297298297296297297299299299299299299299299300299300300298299299301300301300301300300300300299299298297298298297296296298298299299300297298299297297297296296296296297297297296296296295297297296296296296295296295295294294294294294294294294294294295294294294294294293294294295294294294295293294294294294294294293293293293292291291290290289289289288288288288288287287287287287286286286285285285285286286286286286285285285285284284284284283283282282282282282282282282282282281281281281281281281281281282282282282280279279279278278278278278279279278278278278278278278278277277278279278278276276276277277277277277277277277277276276276276276277277277277277277278277277277277277277277278278278279278279279279280278278279279280279279279280280279278278278277276277277278278283281281279280280280280279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292288284281282284286284285284282284282284287288288289289289290289290291292292293293293294295294293294293292294294294293292292292292291291291291290289290289288290292293294293295296292294297297296294289291292294294294294294294294294295295294294293294295294298297299298297300299301299300299300302302302303303303303303304303303303303303301301300299299300302302301301303303303303304304304305303304303304305306306306306306305306306306306306306305306306305306306306304303306305306305305306306306306307306305306307308307306306305306305304304306305304304304304305305305306306307307306306306306305305303303304306305306303303304304304301301300298298290292294297299298299300300300300301299300300301302302301300301301301302301302301302302301301301301302302302303304304304303302302302302302302301299300302301302302302302302300300300300300300300299298298299299298297300300297301297299299301298300300301300301301301300299298298300299300300300299299301297295298299299298297297298298298298297296296298297298298298299297299299299299299300299299299299300300299300300300301300301300300300300300299299299298297297298298299298298298299299299298299298297296297296296297297297297297297296296296297296296296296296296295295295295294294294294294295294294294293294294294294294294294294294294295295295295295294294294293293293293293292291291290290290289289289289288288288287287287287286286286286286285286286286286286286286285285285284284284284284283283283282282282282282282282281281280281281281281281281282282282282282282282280280280278278279279279279279279279279279278278278278278278278278278277277277277278278278278277278278277277276276276276277277277277277278278278278278277278277277278278278278278279278279279280280279281280280279280280280280279278278279278279280278279281280280282281282282280280279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289293289285283279277280285285285283283281285284285288288288289290289290289291292292292293293293294293295294293295295294293293292292292292291292292290291290291290290291292293293295296295296297297296295295294291293294293294295296295296294294295295296294295296295298298298298298298298299299299300301303302303303304304304303304304304304304303300300300298299299300301301302303303304303303304303302303303304305306305306305306306306306306306305305306305305305305305304305306305306305305305305307306307306306306306306306307306306306305305304304304305305304304304305304305305303305306305305305305305305303303303303304303303302303303300303303302300299297294293295296296296300300300298299300300301301301301303301301301301302302301302301301302302302302302302302303303304303305304303303301300302302302302303300303302301303302299298299299299301299298298298297300299296295300300301301298299297300302300300299299300300300299299299298301301300300299299298297297297296299299294296297298298298297299298294293297297297297295295297299299300300299299299300298300300300300300300301301301301301300300300298300299299298297298299298298298298298298299298298297296297297296296296298297297297297297297296296296296296296296296296296295295295294294295295295294294294293295295295295295295295294294295295295295295295295294294293293293293293292291291291290290289289289289288288288288287287287287287286286286286286286286286286286285285285285284284284284284283283283282282282282282282281281281281280281281280281281282282282282282282282282281280279279279279279279279279279279279279279279279278278278277277277278278278278279279278278278278277277277277276277277277277277278278278278279278278277277278278278278278278278279279278279279281281281279280280280280279278279279277279279279279280281280279279281280281281279278279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284281279281282282284283284283285281283286286288288288288289289291292291292291292292292293293293293292295294294293292292291290291290292291291292292292290290291291295294293296296296297297296293293295293292293294294293293295295295294292293294296294297296298297296298297299298299299301299298299301303303303304304304304305304304303303302299300300299297298300301302303302303302303304304302300304304305306305306305305306306305306306306306306306305305305307306303306305306307307304304306307305307307305304306306306306306306306306305305304305305306305305305303304304304306305305305306305306307306305303304304303303303302302302303303302302301301298297297297297297297301301301301300301301302302301301303302302302301302303302303300302302301303302302303304304301301302302305304304301300301300302303303302302303302302302300300300300296301297299299298298301299300299300301298300301298298302301302301299299301301301299300302301301301301300299299300299298298297299295297297296297298298296299296296300297297295298298297298299299299300300299299300299300300300301301301300300300302302301301301301299298298298297298299298298299298299299299299299297296297296295296296298298296297297297297296296296296296296296296296295295295295295295295295294294294295295295295296295295295295294294294294295295295295295295294293293293292293292291291290290290289289289289288288288288288288287287287287286286286286286286285285285285285285285284284284284284283283283283282282282282282282282281281281281281281281281282283282282282282282282281280280279279279279279279279279279279279279279279279278278278277278278278278279279278278279278278277276277277277277278278278278278279278278278279279279278278278277279279278280279279279279280281280283282280280279280279278279278278279279280279280281281279280280280279281279279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284284284284283283283284285286285284284283287288288289288291290289290291292292293292293291291294293292291294293293290291292292292290290290289291291290291290291292291292295295295296296296296295293291292291292293294293293293293294295295294293294295294296296295297297297298300298299298299299299301303303301304304304304305304304303302302301300301299299298298301302302303303302302303303303303304304304305306306306305305305306306306306306306306306306306306306307306305307306306307307304306305305306307307307306306306304304306307306306305304306306305305306304305305305305306307306305305305306306307304303303302303303303302303302303301302300302300298297297300298300300301302299302301301301302302301301302302302301303302302301303302301302302301303302303303304304304304305305305304303300301300303303303304303302301301302300303299299300301300299298298298300299298298298301298298301297298298301303298302300301301300300299301301301302301299300300300301300300299298300298297299296297298300296297300298297298298297296297299299299300300299299300300300301300301301301301300300302302301301301301300300299299299299299299299298297298299298299299299300298298297296296296298297296297297297297295295296296296296296296296295295295295295295295295295295296295295296296295295295295295295295295295295296296296295295294294293293293292292292291290289289289289289289289288288289288288288288287287287286286286286286285286285285285285284284284284284283283282282282283282282282282282282282282281281281281281281283283283282282282281282282281281280280280280279280280280280279279280279279279278278277277278279279279279279278278278278277277277277277277278278278278279278279279278278279279278278278278278278278278279280279279280280280281280281280280279279279278279279279280280281281281281281281281281280279280279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280284283283281283282282285286285285284285285287288288289289291291290290292292292292293292292291293294292292293292291290291291292291289289290289290291291292291293294292293292295295296296293295293295292292291291292293293293293294294295293294294295295294294297296296298298299299299300300300300300302303302303303304305305304305304303302302302301301300299300301302302303302303303303303304304304306306305304305305305305305304306305305306305305306306307307306308307305305306306304305304307306306306305309308307307306306307307306306307308307308307307307305308308309306307307307306307307308305305307307306305304304303304305305304303302302303303303302299297297300301301303301303300303301301301302301301302302303303303302303304303303303301302302303303303303304303305305305305305305305304303302303303303301303303303302301303300304301301299298300301300299299300299298297296296299300298297298301301299303303301301301300300300301301301301301300300300300299299301298298296298298295295298297297297296297294298298298297297296297299298298299298299300300300299301301301302301301301301300300301300299302300299299298298299299299298298298297298299298299299299297297299298297297297297298297297296296295296296296296296295296295295295295295295296296296296296296295295296295296295295295295295295295296296296296295294294294293293293293292291291290290290290290290289288288288288288288288288287287287287287286287286286286286285285284284284284284284283283283282282282283282282282282282282281281281281281281281282282283283282282282282282282282281281280280280280280280280279280280279278278278278277278278278279278279278277277277278277277278277278278277278278278279278278279279279279278278278278278278278278278278279280279280280281280281281281280280279279279279279279281281281281282280281281281281282281280279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283282282281280280281281281281283284284284285284284287287287287290291290292291292292293293292292292293293293291291291290290292292291289288287287287288288290291293294294294292293294296296297294293292292292291292291292293293292293293293294293295294295295295294296296298298299297298297299301301299300303301300300302304305304304304303303302302302301299300299300300302302303303303303303304303303304303302303302304304305305306305306305306306307306305306305305305306306307306307306305305307305304306306306306305304306306306307306307307307307307306306307308305306307306305306308306306306306309304305306306307305304303303302303305303303303304303303303303300298300302302302303303304304302302304302303301302302304302303302301301301300303304302301303302300301303300301303301302305304305305304304304301304301300300300303300302301300302303302301302301301300302301300299299297297297295298298299299300298299303303303302301301300300301302302302301300301301300296301301301301301298300297298298297296295298295295296298298298298298298298298299299299299299301300300301301301302301301301300301300299300300299300299298298297298298298299299297297299297298298298300297297298297297296297297297296296296295295296296296296296296296296295295295295296297297296296295296296295295295295295295294295295295296296296296296295294294294294293293293292291291290290290290290290289289288288288288288288288287287287287287287287287286286285285284284284284284284284283283282282282282282282282282282281281281281281281281281281281282282282283282282281281281281281280280280280279280279279279279279279279279278279279278278279279279278278277277278277278277278278278277277277278277277277278279279279279280279278278278278278278280279280280280280279279280281281282280280280279279279280280280281281282282281281282282283283282281281280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289284282280278279280280280282283284284288287285284284285286288286287288290290291292293292293293292292292292291291292291290291290292292291290287287288288288289289292293295295295295296295296296296291293291292292292292292293293292289291292293293292293294295295295295295297298298296298297298298300300300303303302300302302301304304304304304303302302302301301300301300301302303303302302303303303304304305303303303303303303305304306306306306306306306306306305305304306306305307306306304304307307307304305306306306305304305305305306307307309307307307306306307307308307306306305306307306306307306305305305305306306305304305303304303304303303301304304303303302301298301302302303303304304304303303304303304302303302304302302301301300302302303303303303302302303301302300304300301301301304305304304304303304303304301300301303300300299302301303302302300300300301301302300299299297300300296296297301301302299299302302302302301301301301301302303302301299301301301301301299301301301299299297298298298296295296298294296295298298298298298299299299299299299299301300300300301302301301301301301301300299299301300298298298298298297297298298298298297297299300299298298298297297296296296296297297296295295294295296296296296296296296296295295296296297296297296296296296295295295296296295295295295295296296296296296296295295294294294294293292292291291291291290290290290290289288288288288288287287288288287288287287286287286286285285285285285285284284284283283282282282282282282281281281281281281281280281281282281281281282282283282282282282281281281281281280280280280279279279279279279279279279279279278279279279279279278278277278278278278278278277277277278277276277277278278279279279279278278275276278277278279280279281281278280278280281281281280280280280280280281281281282282282282283282283283283283281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284281281280280281280281280280282285285285288283283283285288288287288288290290290291291290292291291290291291290290291290289288288291290291288287288288289288288289292293293293292294296295295294294293293292292291293292294294294291999290292292293294294295296296295293295295298297299300297298299299300302302302302302301305301302303304303304303303303303303303301303302303303303303303302302302303303303304304303303303305305306305306305306305306306306306305304305304305306307308306305304303306307305307307309308309308305305305305306310306307307307309309310310308308308307307307307306307306306306306306307307307306307305306306305305306305303302305304302303303302300300301302303303305305306304304304304303303303303302305302304302303302303302303302301302302303301301303304302303304305304304304304303302303300305305304303303300299300302302301301301300300301300300299300297299300299300298299299301302303303302301300299300301302301301300301302302302301301302302301301301301301301299299298298298299299299300299298299298297298298298298299301300300299300299300301301301302302301301302301301301300299299299299299299300299299297299298299298299297298300300300299298297297297297296296297297297295296295294294296296296296296296296296295296296296297297296296296296296296295296295296295295295296296296296296296296296295295294294294294293292292291291291291290290290290290288288288288288287287287288288288287287287287286286286285285285285285285284284284283282282282282282282282282282282281281281281281281281282281281281281283282283282282282282281281281281280280280280280279279279278279279279279279279279280280280280279279279279278278278278277277277277278278278277277278278278278278278279278278278278278278280279279280281283282279281281281282280280280279280280281281282282282282282283283282283283283282282282282281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283282281280281279281282283283283282283286285286285286284289289289288289288290291292292292294294291292290289289289289288288287287287289290290288288288289288288291292293294292293293291295296296296295294293292292291293293292293292293292292291999293294294296295295294294296298298299300300301299300302301303304304304304303305302304303304303304303303303304304304304303304304304304303303303304304303303303304305305303305306305306306306305306305305308308306306307308307308308308307305305304305305306306308309307307307306305305305306307307307308308308306306306307307307308307307307306307306306307306306306306307306307309304307305306306305306304302302303303303302299300299302303302304305305305304305305304302302303302304301303302300301301302303303300300303302303303300301302300300300304304300304304303303304302306305304304302301302299301299300301302301301300300299299297298296298297299297300300301303303300300302302301300300301301300301301300301302301301301302301301299301300298297299299298298297297296300299298296297298299297298298298300300300300299300300301301301302302301302301301301301301300299300300299299299299299298299298299299299299298298298298299298297297297298297297297297296298296297295295296296296296296296296296295296296296297297296295295296296296295295296296295295295296296295296296296296296295295294294294293293292292292291291291290290290290290289288288288288288287287288288288287287287287286286285285285285285285285284284284284283282282282282282282282282283282281281281282281281282282282281281282283283283283282282282282281281280280280280280279279279279279278279278279280280280280280279279278278278278278278278278278278280279278278278278280280280278278279278278278278278278278279280280280281283283279279281282283281280280280280281282281282283282283282283283283283283283283282282283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285999297999279279279279277279281281283283283282283286288285285285285288286287290289289288288290291291291292293292291290289288286287287287287288288288288288289289289290290288290292289292293293295294295293296296295294294293293292294294293292292293292292999999294295294296296296294295297298299294300300299301298302301301301302300301301302302302301303303303303303303304305304303303304303303304304303304303304304304304304304304303305305303305305305306305306305306308307306308306305306306306304303304305306307306308308307308308308307305306304305306306307308308308307307307307308307308308308308308306307307308307307306307307307307308307307307306306306306306304303302303303303299299301300300303305305305305304304305306304302302304304301304301300299301302302301301302302303303303300303302303301304304304304303305303303303303304304304303303302302300300303300299303301300301302301299298299297298299297298299300302303304300299301302300300302302302300301300301301302302302301301298300301301301301299300297298298297296296298296296298296298298296297297296299300301300300300300300301301302302302301301301300301301301299300301299300299299299299298299300299299300300299298298298298297297298296297297297298297298297296295294295295296296296296296295295296296296296296295295295296296295296295295295295295296296296296296296296296296295295294294294293293292292292291291291290291291290290289288288288288288288288288288288288288287286286286285285285285285285285284284284284284283282282282282282282282282282282282282282281281281281281282282282283284283283283282282282282281281280280281280280279279279279279279279279280280280281280280279279279279279279279279278279279279279279279279279280279279279278278278278278278278278279280279280279281284280281280281281281280280280281281282282282283283283283283283283283283283283283282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292285285281999276276277280280282283282283283284283285287288288285285285286286289289289289288287289290291291292292291289289289287288288288287286287288289288289290291291292292292291293293293292290293294293293295296295293293293293292294293293294293292999999999999292292294295295296294294296296297297299298299300299299300301301301302301300304303303301302304303303304304304303304304303303304302304304304303304304304305305305305304305306305306304305305306305306307308308308308307307307307306306307307305306309306306309307308309308308307306306308306307308307307308310309309309309308308308308308308308309309309308308308307308307307308307307307306305304305304306304303304305303303302299302301303303306306306306303303302307304303303305303302304301300301303303302302301301301303304303303302301303304304304305306305304303305301302304303304303302302302301301302302303301302299303303301300299297298297297301298299301302304302299299299299299299301302302301301301302302302302299299299301300302303302301300297299297297297296296297296298299295295297297297296297300299301300300300301300300302302301302302300300300301301301300299299300299300299300300300300299300299300300300299299299298298297298297297297296298298297297296297294296295295296295295295295295295296296296296296295295295295296295295295295294296296296296296296296296296295295295294294293293293293292291291291291291291291290290290289288288288288288288288288288288288287287286286285285285285285285285284285285285284284283282282282283283283283284284283283282282282282282281282282282283283283283282282282282282282281281281281281281280280280280280280280281281281281281280280279279279279282280280279279279280280278279280280281280280280279280279279279279280279278281280280281280282283280280280280280280280280281281282282283283283284284284283283284284283283283283282282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276276279281279278282282283284284285286288287288288289289289287287289290290289288288289291289290290291289290290288289290289288288288289289290289290290291291291293292293294295294293292292293293293294294294294292293292292293293292294293292999999295294294294294295295294295299296296297298300299302300300303303303302303302303304305304303303303303303303303304304304303304303303303304304304304304305305304305305304304305304305305306306306307305305307309309309310310309309309308308308308309309309309308307310308308308308308308306308308308307308308308309310312311311309309309308308308308309309309309309309309309309309309308307306307308307308306306305306305305305305305304301303304305306307307305306304306305306305305303304303303302301301302303303303303303302303304302303303303303303304304304305306305304304303303303304303305304301303303303302303300299301303300303302301302300298298297298298298297301301301300298300300301301299301301302302302300302302302302302302303300299302303302301301297298297298297297298299299298299298298298298298298299300300301301300300299301302302303302302302302301300300301299300300299300300300300299299300300300299300301300300300300299299299298297297297296297298298298297298297295295295295295295295295295295295295296296296296295295295295295296295295294295295296296296296296295295295295294294294293293293293293293292292292292292292291291290290290289289288288289289288288288288288288287287286286286285285285285285285285285285284284283283282283283283283283284284284284283283283283282282283283283283283284283282282282282282281281281282282281281281280279280280280281281281281281280280280279280280280280280280280280280281280279279279281281280281281280280280279279279279280280281281281281282283280280280281280281281281281282282283283283284284285284284284284284284283283283283283282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999278278278279280281281279281283284283284284285283287288288289289289290291291292292291291289289290289289289289288290289290290289289289288289289289290289288289288291292291294294294292293293293294295294294296295293293293292291293292292293292291999999293293294294294294295296294295295297297295297301302297301302298298298300299302303305304304303302302302303303303303304303302303301303302303303302304304304305305305305305305307304306306305305306306306305306308308310310309308308307309309309310309310310308307309308308308309308308309307308308308307308309307310311308309308308308307308308308310309310309309310309309308308309308307307309309307307307306306305305305305304304304306305305305305306306306303306306304306306303302301303305304301301301302303303302303302304304303302304303303303304304304305305306306305303303302303302303304304303303303303302302304301301302302301302302300301298297300300298297298298300302299300299298300300300302302302302302302303303303302302302302302300299302302299299299297297297296296296299299295296298299299299298298298299300302301300301300301301303303303303302302300301301301300300299298299300300300298299299299300299299299299299301299299299298298297298297298298298297297297297296296296295295295295295295295295295295295295296295296295295295295295295295295296295296296296296296296295295295294294294294293293293293293293293292292292292291291291290290290289289288289289289288288288288288288287287287287286286286286285285285285285285284284284283283283283284284284284284284284284284284284283283283283283283284283283282282282282281281282282282281281280280280281281281281281281281281280280280280280280280280280280280280280279279279280280280280281281280280281279280278279280280280281280281281282281282282282282281281281282282282283283284284284285285284284284284284284284284283283283283282283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999277279279280281281281282281281282283284285285285290289290289287290291292292292292291291290289291289289290290289291290291289288288289289290289289288290290291291290293292292292296295295294294295295295295294294292292291291292290291294293291999293294295295295295295295295295296295297297297298297299297300301301301299300298301302301303301303303303302303303303303304304302303303303303303304304304304304305306305306305307306306305305306306307307307307307307308309306309306309309310307308309308310310307308308307310308308308307308308308307308308307308309311311312312308309309309308309309310309310310310310309308308308307309307307308310306306306305304306306305305304304305305306307306305306307306307306306303304304306305301302304304302300302303304303302303303304304304303303303303304303303305304305305305304303303304303303303303303305303304304303302302303302301303302299300300299298297300300299298300300298300299300300299301302302303303302302303302301303302301301302301299299299301302301300299298298298296295297298296296298298298299300300298299300299301301300300301301301302302303302303302301300301300300300300300297299301300299300300299299299298299298298300299300300299299298298298298298298297297298297296296296295295295295295295295295295295295295295295296295295294294295295295295296296296296296296296296295295295294294294293294293293293293293293293292292292292292291291290290290289289289289289289288288288288288288287287287287286286286286286286285285285285285285284284284283283283284283284284284285285284284284284284284283283284284283282282282282282282283283282282281281281281282281282281281281281281280280280281281280280280280281280280280280279279280280280280280280280280281280279279280280280280280279280281281281281281280281281281282283283283283283284284284285285284284284284283283283284284283282282282283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285280277278280281281281280283283283283284285286286286290288288288291292291293293293293291290290292291290290289291289290291290290290289288290290290290291291291292291291294296294294295295294295294295296296295295294292294292290291291292291292999294292294295295295295295296296296294293296297297299297297296300301299298300298301302302300301303303303303303302303303303304304304305304304304303303306303305305306306306306306305305307305304305306307307308308308308308309307307309309306306308308309308308308308307306306308307307307306305309308307305308308306308308309308309308309309309309309310310310310310310309310309308309309309308306309306305306306306305304306305306305305305303304306306306306306305306307307303306305305304304304303303304303303303303304303303303302303303304303302302305304303305305306305307305305305305305303304304304305304305304302304303302304304302301301303300302300299299299299301299299299299300302302300302301301301302302302302302301300302304304304300299299301302301302300300301300299299298297298298299298298300300300300301300300301301301300301301301301302303303302303302301300301300301300300299299299300299300299300299299299299299298299300299298299299298300299298297297297296297297297296296295295295295295295295295295295295295295295295295294294294295295296296296296296296296296296296296296295295294294294294294294293293293293293293292292292292292291291291290290290290289289289289289288288288288288287287287287286286286286286286286285285285285285285285284284283283283283284284285285285284285285285284284284284284284284283283282282282282282283282281281281281281281281281281281281281281281280280280280280280280280280280280279279279279280280280280280280280281280279279279279279279279279279279282279281281282281281283283284284284284283284284284284284284283283283283283282284283283283283282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287283279277278279279279283284283284284284285287287289290290291289289293293293293294293293291292292292292291290291290289290292290291288288288291291292292291291292292293294293292293294296296295294295294296295294294294294292291289288289291293289999292294295295295293295295295295294294296297297298298298299299300301300302300301304304302302302303302302302302303303303303303304304304305305305305306306304305305306306305305306307307308306305306306307307308309308308308309309309309309309311311311309307308308307306309308309307308308308309309308308308309308308310309309310310310309310310309310310310310312311311310310310310310310308308308308307307309308307306305306307305306305304303306306305305306306305307307306306306306305305304303303301304303303303304304304303304300301304300303301304304304303302303306306306305306306306305304304304305306306305306306305304301303303300302301302303301301299297297297299298299298299297297302300300302301300300302302301303300304304304304304299301300302301300300301301300300300300298298296298299298299299298300300300299300301299300299300300301301302302303303303303302302301301300303299300299300300299299299299298298299298298299299300299299300301300299300300298297297297297297296295295295295295295295295295295295295295295295295295295295295296297297297297297296297297297297297296296295295295295295294294294294294294294294294293293293292292292292291291291291290290290290289289289289289289288288288287287287287286286286286286286286286286285285285285285284284284284284284285285285285285285284285285285285285284284284284283283282283283283284282281281281281281281280281281281281281281280280280280280280280280280280280279279279280279279280280280280281280281280280279279278279279279279279280281280282282282282282282282283284284284284283284284284285284284284284283283283283284283284284283282283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291283278277278277278279280285282282284285286287289290289290291293289291293294294295293292292292290292292291290289290287291289288290290291289291292292293293293294294294293295294294294295295295295294294295294295294295293292291290291291292294294295295294295294296296296295294296294295296294294298297299299300300301301300299303303303301298302302301301301302302302303303303304305305305305304304307307306305306306305306304306307307306307306307307308308309308307307308310310309307307311308311310311307307308307309309306306307309308306309307306305307307308307308309310309311310310309310311310310310310310311311311309310310308309307309307306306307306305306306305305307306306305308304304305303305305306307307304303303304304303305304304303303304304303304304304303304303303303302303303301304304304303304305305305306306306306306305304304304304306307306304306306304301302302301302301301301299300301299298297299300300301301300298302300301300300302298301303303303303304304304304300300299299301300301300301301301300301301300299300302301301301299298298297300299301301299300299301301301302303302302302303303301302301301300299301300300300300300300299299299299299299299299297300300300300301301299300301299298297298298297295295295295295295295295295295295295295295295296296296297297297297298298298298298297297297297297297297296296295295296295295295294294294294294294294293293293292292292292292291291291291291291291290289289289289289288288288288287287287287287286286286286286286286285285286285285285285285284285285285285285285285285285285286285285285285285285284284283282283283283282282281280281281281280281281280280281280280280280280280280280280280280281281279279280279280280280281281280281281281281281281280279280280280280281281280281281282282282281282283283284284285284283284284285285285285284284283283283283283283283284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279277276276276277278279282282283284285286287290290290293292293292292293293293294293291291290288287290288288288288291290289288289291291291292294295292295294294294295295295295295294294294295294295294295295295294295294292293292293292292294295295296294295295295296296293294296296294295294295298295298299299300300300300301300302301301301303302302302302302302302303304304304305305305306305306304304306306303305302306307307304307307306307307307308308307308307308309309307308309307311311311311309309306308309306309307307307309310309309309307309310308308308309309310311312311310310309311311309311311310311311310309310311309310307309308306306305307308306306305305307306305307307305306306304303305304304305304304304304304301302302302304304304303304304305304304303302304304302302302302304304304304303304305305306307307306307305306305303303304304305307305304306306303304302302299298301301300300300298302302300300301301299301300301302304302302300301302303304303303302300304300301299299300301300300299301302301301300300303301301301302299299301300300300300302301300300300301301301302303302302303303302301301301301302301301301302301300300300300300300299299299300300299300300300300300300300300299299299298298297296295296296295295296296296295296296296296296297297298298298298298298298298298298298298297297297297297297296296296296295295295295294294294294294294294293293293293292292292292291291291291291291291291290290290289289289289288288288288287287287287287287286286287286286286286285285285285285285285284285285285285285285285286285285285285285285285285284283282283284283283283282282282282282281281281281281281280281281280281281280281281281281281281280280280281280280280281281281281282281282281281280281281280280281282281281281283282282281282282283283284284284283284284285285284284285284284284283283284284284283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279278278277276277278279281282283284284285286290290289291291293293293292292293293293292291289288285284288288289289292291289290290291291291291293294295296295295295294290292294294293293293294294294295295294295294293294294294294294294293294294295295295295297297297296296296296296296296294296295297296296298299299301301301301300300300300302302303303302302303303303303304305305305306307305306306306306305305305305304307307307306306306306307306307307307307308307309309309310307309310311310310311308309309309309310309308310309309310309311310312312310311310308310310311312313312311311311310312312312310310310310310310311312311312309307307308308309309308307306306306305307308308306306306305307305307306305304304306307304304303304301304304304304304305304305304306305304305305305304303304306306304302305302304306307306306307306306306304305304304303304306305304305305304304304303301306301302304303300303304305302303303301302302302303303304304301300300301302303303303304304304302299300300301301300300300301301299301302301302299302302302302302301300301300301301301300300301301302301302302303303303303304302300303301301303301301301301301301301300301301300299299299298299299300300299300300300300300300299298297297297296297297297297297297297297297297297297298298298298298298299299298298298298298297297297297297297297297296296296295295295295295295294294294294294294294293293293293293292291291291291290291291291291290290290290290289289289288288288288288287288288287287287287287286286286286285285285285285285285285285285285286286286286286286286286286286286285285284283283283283284284284284282282282281281281281281281281281280280280280281281282281282282281281281281280280280280281281281282283283282282283283282282282281282282282282283283282282282281283283284284285284284285285285285285285285284284285284284283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278278275274275277278279281281282284284286289290290293293294293292293292292293292291292292288289288288289289289288287290289290292293294292293294294294295295295294294293294293294294293294294295295295293295295294293294295296294295294294295296295296296297297296297296296296294297297293295295293296296296297299299300300300301301301301300302301303303302302303303301301302304305305305306306305306305305305304304302307306307307308306306306305306307307308307307308308308306306305307308310309311308309308310310311310308311306310308310308307307308311314312309307311312311312312313312312311310311311311311310310310311308311311311310309308307307306308307306306306307306305307306305305305306305307304307307306305305305304305304304303303304304302305305305304305304304301302304304303305303306305305305306306304304306307307306307306306307307306304304303305304304305305305304304303304303302303303303301304301303303304302304303302302301303302301304305301301301303303303304302301303300301300300301301301301299301302300301302302300300300301302303302302302301300301300302301300301301300302301302303303303303304302300300300301301302302302301301301301300301300299299299298299299300299299298298300300299300300298297297296296297297297297297298297297298298298298298298298298298298298298298298298297297297297297297297297297297297296296296295295294295295294294294294294294294294293293293293292292291291290290290290291291291290290290290290290289289290289289289288288288288288288288287287287287286286286287286286286285285285286286285286286286286286286286286286286286285285284283284284285285285286285285283283282282281281281280281281280280281281280280281281282282282282282281282282281282282282282283284284283283283283283284283283283283283282282283283282281282282283283283283283284284285287286286286286285284284284284284284284284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290283274270272275276277279281282283287285289289290290290290294291290291291292292290288288287282287287286287287288288290290291291290293291291290296293294295295295293293295294292291292293295295295295295294295296294294295295295294294294294294295295294295296297297297298297296296295299297297295294295295296297298298298299300301302302302301301302303302303303303303303303303305305305305306305304306302306305305305304305304303306307307307305306306307307308308308307307307305305307307308308309310309310310308311309311306311312311308310308310311311310313312311310311313313312311313313313312313312309312312312312311309310311311311310309308308309307308307305307306305307306307306304305304308305308307308306306308305305304305304303304304305305304305305305305306304304303303306303301305306304306307307306305305304307307306304307307307306308307305304304306305303305304305304303303303303304304301301303302303304304303303301302302301303303302301301303302300299302303303303303303303299299299300300301301301299301300299301301303302303302302302302303304304304301302302301301301301301301302301302302302303303303302301300301302302301301301301301300301300300300299298298299297298298299298299300300298298298298297297296297298298298297297297298298297298298298298298298298298298297297297297297297296296296297297297297297297297297297296295295295295295295294295295294294294294294293293293293292292291291291290290291291291291291290290290290290289289290289290290289289289289288288288288288288287287287287286287286286286286286286286286286287286286286286286286286286286285285286285287287285287287286286287286284284283283283283285281281281281281282284282281282281282282282282282282282283281282282282282283284284283283283283283284283283283283282283282282283283283283282282283283283284284285286285286285286285285284284284284284284284283283283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291284999270274275277278280281283284287287290290292293293293293294291289290289287286285285282282283283287287288288288291291291293290292292292293295296294295295292290293295293293293294294295295295295294294295295294294295296295295294294294295295295294294294297296297296297297297298298296294295295295296296296297298299300299301302301301301302302301303303304304303303303304305305305304305305302303306305307305305306305304306307307306308307305305307307308309307307307306306308307306307306308310308309309308309307310309308310310310309309310310312312312310309310309310312311312313312312312312311311312310312311311310311312311311311311309308308307307308307307307305307307307307306306305303306308307306306306307304304305306306305305304305305303304305306306307306306302302303303304305307306306307307302305304304304306307304306307306308307308307303303306305304302304305305304301304304301303304302302304302304303301303301301303301301302300301301301302300300301302302303303302302300300300300300301301302301300300300300301302303301302303303304304304304303301302299302302301301301302301302302302302303303302302301300301302302301301301302301301301300300300301298298298298299299299299299300299298297297297297297297298298298298297297298298298298298298298298298298298297297297296296296296296296296296297297296296296297297297297296296295295295295295295295295295295295294293293293293293292292291291291291291290291291291290290290290290290290290290290290290290290289289288287287287287287286286286286287286287286286286286286286287287287287286286286286286286286287286287288287286286287288286287287287286286285284283283283282283282281281281281283282282282283283282282282283283284283283283283283283284284283283283283284284284284284283283282283282282282282283283283283283284283284284285286286285285285285285284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294295999284999275276275276278280281282284284284289292294295295293292290290290290288286284285287286286288288288289288290289289291292291291292292295295294296296295295294294294293294293292293294294294295295294293295295295294295296296295294293293294295296294294296298297298298297298297298298297295295296296296297297297298299299300299301300301301302302302303304304304304304304304305305305305305305306304306306304306306305306307306307310308307307306306307307307307307307308307306308308307309308308308308307308310309309307308310310307311310310309309309311311310309310312312313312313312312312312310312312312311311312312313312312312312312311311311310310308307308308307306307307307306309305305304304305306305304305306304306303307306305305306306304305304305305306306305305305304304306304305306306304305306304305306306306307307307306305306308308307302301303306304304303302305303304303304304304302302302302304304304302304303300301300301300300301301303300300302301300301301302303303302302300300300300300300302301300300301299301303303302303302302303304304304304300300301301301300301301301301302300301303303302302302301302301302302302300301300300300300300299298298298298298298298299299300299300299298297297297297297297297297297298297298298298298298298298299298297297297297297297296296296296296296296296296296296296297297297297297296296295295295295295295295295295295294294293293293293293292292291291291290291291291291290290290290290290289290290290290289290290290289288288288287287287286286286286286286287286286286285286286286287287287287286287287286287286287287288287286287287287286286287287287288287285285284283283283283283283283283283283283283283283282283283283283284285285285284284283284283284284284284283283284284285285284284284283283283283283283283283283283283284284285285286285285286286285285285285284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296290287282279276276276277277278281282283284283285287292293295294292289290291291290289286285287282283282287289290289291290290291291291291290291292294294294294294294294292293293294294294294294294294294294294294293294294294295296296295294295295293294293294294293294295296295295298297296296296297296294296297297297297297297296296300301300300302302302303302303304303304304304302305305306306305305306305303305306305306306307306306306307309309309305306306307307307306306307307307305306308307309308306308308308306307311308309311309309307309307310310311308307309311309313310312314314312313313313313313312312311312312312312311312312312311311311310310310309308308308307306306307306307305306308309306304306306304303306304306305304304303304304303304305304305305305306304305305302301304306305303307306305306306305306306305306307308308307306307307307307305302303305305304302303303306305304305306306304302304305304305305305304303305302302302300300301301301301301301301300301300301301301302301301300300300300300300301301301301301301301302302302303303304304304304301300301301301299300301302301301302302301303303302300301301303303303303302300300300300299299299298299299299299299299300299299299299299299298298296297298297297297297297298298298298298298298298298298298297297297296296296296296297296296296296296296296296296297297297297297296296295295295295295295295295295295294294293293293293293292292291292291290291291291291290290290290289289289290290290289289289289289288288288287287286286286286286286286286286286286286286287286287287286286286287286286287287287287286287289286288288287288289289287287287285285284285284284284285286283285284282283284284284284284285285285285285286285285286285284284284285285285285285284285285285285285284284284283283283283283283283283283283284285285285285285285286286285285286284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297290999999281281278276276277278278279279282283283284285286290293295296297295999290288290288287285286285284284288289289290290289288290289290290290289293292293292293293292293294294294294294294294294295294294295294294294294294295294294296296296295296295294295295294294293294294294295297297297296297296297295297297297297297297297298297298299300298298300302300302303304302303302301303302305306306306306305306307305305306306306306306307307306306305306306306307308308307306306307307308306308305306309308308308308307307307308310309309309309309310311310309309309309310311312310311313313313312313313314313311313312312312312312313313312312313312312311310310310309309309307308306305306308307306305306307305306305305305304303304305304304304304303304304304305304304304305306304305305304302302304304305306307306307304305307307306307305305307308307306307307308308304303302303303306305304301304306306306306305306306306305306305305304304306306304303302301301298301301301301301301301301301302302303303300300299301301299300300301302301301301301301301301302302302304304304304300300303301299300298300301301301301301301302303303302301302303302302302302301300301300299299299299299299299299299299299298299299299299298298298297297297298297298297297298299298299298298298298298298297297297297297297297297297297297296296296296296296296296296297297297296296295295295295295295295296295295294294293293293292292292292292291291291291290290291290290290289289289289290289289289290289289288288288287287287286286286286286285285285285286286286286286286286287287286286287287287288287287287289289289289287288288288289289288288288287286286286285285284285284285286285285286286284286285285285285285286286286286287286286286285285285285284285285285285284285284285285284284284283283284283282283283283283282283284285285286285286285286286286285286285285284284284284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284278277277276276277279279279279279281283283283284285286289295295297999999999999999999285284287284287287287288289290291291293292290288290291290291292292293294291293292294293292294293292294294294295293294295295294294295295296294295295297296297296295294296296294294293294295296296296297297297297296297297297297296297297297298298298298298299299301303302302302302302303304302301303304304305305305306306306306307306306306306306307307307308306306305307307306307306307307307307307309308306306308308308308309307307307309309309308309311309309310309310309310307309311312312311310310312313314313314314311312312312312312312313313313313311311311311311311311311311309310308308307307307309307308308308307305307305305305305306305306305305305304306305306305304304305305305304304306304304304304304304305305307305306305305305306307306307307307307307305306306306308306305302304304303306305305303306305306305305307307307305305305305304306306305306305302302301301301301300301300300300300301302303302302301300300299300300299299301301301301300300300301301302302302302303304304302302303303302302302301303301300302303302301303303302301302303302302302301301301301300301301300300299300298299299299298298298298299298298298297297298298298297297298298299297298298298298298299298298297297297296297297297297296297296296296296296296296296296296296296296296295295295295295295295295295295295294293293293293293293292292292292291291291290290290290290290289289289289289289289289289288289288288288287285287287286286286286286286285286286286286287286286287287287288288288289288288288288289290290289288288288289292289290289289289288287286286287288286285287287285286286286287285286286285285285285285286286285285285286286284285284284284284284285284284284284284284283284283283284284284284284283284284284284285285285285285286286286286286285285284285284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287274273274274274276278279281282281281282283283283283286288295296999999999999999999999999285286287288287287288289289290291292294293291288287292291290291294292294293291292292294293293293293293293295294294295295294294293294295295294293295296296297297296295296296294293293293294296297296295296296298297297297297298297297298298299299299299299300300301302302302303304303303303303304303304305305306306305306306306306306306306306306307307307307306307307307307307307305307308309307307308308308307307309310308307308307308310308309308309310309307308308310307311310312312311311312313311312312312313313313313313313313313313313313314314316313311311311310312310312309310310309308308307308309307308308308307307305305307306307305305305305306306306306304305303304302304305305305303305304303304305303303304305306307306306307306307307307308308308307307307306305304306307305308306305304303304304304302305303303303305305306305306305305305306306306306306301301302301300301300300301300300300301302303302303301301297298299299299300301301301301301301300300301301302302302302303304301303300302303302302303300300300302301301301303303303301302302302302301301302301301300301301300300299299299299299298298298298299298298298297297297298297297297297298298297297297298298298298298298298298297297296296297297296296296296296296296296296296296296296297296296296295295295295294295295295295295294294294294294293293292292292292291291292291291291291290290290290290290289289289289289289289289288288288287287287287286286286286286286285286286286286286286286286287288288289289288288288288290290290290288289289289289290289289289288288287287287286286287287287286285285287287287287285285285286286286286286286286286286286286286285285285286285285285285285285285284284284284285284284283284283283283283283283283284284285285285285285286286285285285285284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281273274274275278279281282282283283282282284284284286288291296999999999999999999999999999284284286287286288289290289288290293292291290290292290292291292292293293293290293294291293293293294293294295294294295295294294293294294294294296295295296296297297296296294294292292293294296297298294297297298299299298297298297298298298298298299299300301300300302302301301302303303303304303302303304304305306305304305306305306305306306306306306307307306307307306307307307306307307308309308308307309306307307308308307308308307307308307308308309309307308311310310310311311311312311312314311310313313314314314314312312313313314314313314315313310312312311312312311311310310309310309308307306306308307307306307307304306306306307304306307304305306306305304304303303304305305304304304304304303304304302304305305305307307306306306307309308308309308308308307306306305305308306305308304307307303304305303303302302306303303303304303303301302304304305305304302302302302299300300301300300300299301303303300301302302300300298298300299300300300300299300299299299300301301302302303302302302302303303302304303301300302301300301301302300302301302303303302301302301301300301301301300300300300300299299299299299299299299298298298298298298298297297298297298298298298298298298299298298298297297297297297297296296296296296296296296296296296296296297297296296296295295295295295296296296295295295294294294294294293293293292292292292292291291291291291291290290290289289289289289289289289289288288288288288286287287286286286286286286286286286286286286287287287289288289289288289288289289289288289289290289289289288290289289288288288287287287288288287287287287287287287286287287286286286286286287287287287286287287286287286286286286285285285285285285284285284284284284284284283283283283283283283283283283284284285285285285285286286286285285285285284284284284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286278276276275277279280281282283283283283283283284285285286288290293297999999999999999999999999285284278286284286288289289291291293292292290291291291292292292292292293293293292294295294293294293294293295294294294294294294294294293294293294294295295296295296297298297295294292292294294295295298296298298299299299299299299299298297297297297299299300301302302303302302303304303303303304301303303305305304305305304304305306306305306306306306306306306306306307307307305307307306306306308309308308308306308307307307305307307308307308309307306310307308307310310311310311311311311311312313313315312313314315314314314313313315314312313313314313312312311310311311311311310310309309309308306305307306308305304308307307306306306307303304307306306306306306305304304304303305303305306304303303303303305303302303304305307307307305306307310308308309308308308307306305306307305306305305307306306308304306307307305304306305305303304306305304303304303302300303303302302300301299301302300300300300301302303303301302303301300298299299298298299299299300299300300299300301301301301302302302302302302303303303302304301302300300301301302300303302303303301300302302302301301301301301301301301301301301301300299299299300299299298298298298298298296297297298298298297298298299299299299298298297297297297297297296296296296296296296296296296296296297297297296296296296296295295296296296296295295295294294294294294293293292292293292291292291291291291290290290290289289289289289288289289288288288288288288288287287286286286286286286286286286286286287287288288288289289289289289291292291292291290290291291290290292290290289289288288288287287287287288287287287288287287287287287287287287286287287287288288287287287287287287286286286286286286286285285284284284284284284284284283283283283283283283283283283283283283284285284284285286286286286286285285284284284284284285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276276279280280282282283284284284285284284285286287287288292292299999999999999999999999999999282284283282284286288289290290291293292291289293292291292292293292292292291292293294294294294292293293999999294293294295295294294295294294294293294295295295295295297297296296293293294295296296297298299299298299300300300300300299299299299299299299300301302303303303303303303304304304304304304304304305305305305305306306306306306307306306306307306306307307307308309308308308308307307307308309308307308308307307307308307308308308306307308308310309309310309310310310309311311311311312310313314315313312311313314315314314314315313313314313313313312311311311311311311311310310310309309309307306307307308308306308307307307307308307305305305306307306307306305304305303303303306305305305305304304305305304305305305306308308308306307308309306307308308308308307306307305305306306305306307305303307307307307307308307307307307306306306305305304303304303304303303302302301300301301299299300301300301302302302301301302302302299301300299301301301299299298301301302301302302302302302301302303303303305304304303303303300301301301300301301302302302302302302302302301301301302301302304303303301301301303301301301300300299299298298298297297297298298299299299298299298298299299299299298298297297297297297297296296296296296296296296296296297296297297296296296296296295296296296296297296295295295294294294294294293293292293292291291291291291291291290290290290289289289289289289289289289289289289288289288288288287287287287287287287286287287287288288288288288289289289289290291291292289289291290291291292291292290290289289289288288287287287287287287286286288286287286288286286287287287287287288288287286287287288287287287286286286285286285285284284284284284284284284284284283283283284284284283283284284284284285285285285285286286286286286285285285285284284284285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279281283283283283283284284285285285286286286286286288292294296999999999999999999999999999999999284284283286287285289290290292293292292292292293292293292293292292291291292291293294294294294293295296295294294295295295294294295295294294292292294295296295295297298297296294294295295296297296298298297298299300300300300300300300300300300300300300301302303304303303304303304304304303303304304305305305305306306306306306306307306307306306307307306307307308308309308308309307308309307307309309308308307306305304307307308307308306308308308309310310311309309310310308311309310311310310312313314314313313312314315315314314314314314313313313313312312312312312312312311311309310310310310308307309308307306308306306306305305306307306305304305305307307305305304305305303304305304305304306306306305305305304306306306306307308308309309307308305305308309309308307306306307307306308308307307307304306306307306308308307307308306307305306305304303302303303303303301301301302301300301300300301302302303303302302302301302302302300300300300300300301299301298300302301301302303303302302303304303303304303303305303303302301300300300301302302302302301302302302302300301301302301302302301302302302303303301302302302301300299298299298297297298298298298299298298298298298299299299299299298297297297297297297297297297296296296296296296297297297297297296296296296296296297297297297297296296295295295294294294294293293293293292291291291291291291290290289290290289289289289289289289289289289288288288288288288288288287287287287287287287287287287288288288289288288289289289290291290291290290292291291292290289290289291290290288288288287287287287287287287288288288288288287287287287288288288288287288288288288287287287287286286286286286286286286285284285285285284284285285284284284284284284284284284285285285285286286286286286286287286286286285285285285284284284284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286298292288284281282283284284284284285286285284285285286285285286287288294297999999999999999999999999999999999999285287287288288287289291292293292290291293292293293294290293292292290290290292293294294294293294296295296295295295295295294294295295294293293293295295295295296297298297295295295296295296297297297297298298299300299300300300300300299300300301301302303302302303303303303304304304304303304304304305304305306305306306307307306307307306305306307306306305308308308308309309309307307309308308307308307308307306308306305309307308308308308309308309309310310309310310310310309310308309310312311312309311312314312313315315314314313315314313313312313311312310311312311311310311311310311310310309307307307308308305306305305307306307305305305306305306306306305305304305304304303303303304304305305305304305305307307306306305306308309306308307308308309307308309308308309309308307308307307308308307306305306307304308308306304306306306304303302302302304303303304304304301301301301301301300300302302302303303302302302300302301300302302302300300301301303303303301301302300302302303303302303304304303303302303304302302304302301301300301301302301302302301302302302302302302302303303302301302303302303302303303303303301301302301300300299300299299299299299299299298298298299300300299299298298298297297297297297297297297297297297297297297297297297296296296296296297297297297297297296296296296295295294294294294293294293293292292291291291291290290290290290290290290289289289289289289289289289289289288288288288288288288287287287287287287288288288288289289289289290289289290290290290290291291291290292291289290290291290288288288287288287287288288288288288288288288288286289289289289289289289289289289289289288287287287287287286286286287285286285284285285285285285284285285284284284284285285285286286286286286286286286286286286286287287286285285285285285285284285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284293296289282282284283283284285285285286285283283283284285284286288289290296999999999999999999999999999999999999289289289287287288289290290292293292291291291292293296295292292291292291291291293294294295295295294296296296296295295295295293294295294295294293295295296296296295297298297296295295296297296296297297297298299300299299300300300300300301301301302303303303302304304303304304304304303303303304304302304305304305305305307307306306306307307306305306307308308308307307307308307308308308309308308307307307306306308308308307308307307307309309309309310308308308309309309309309309310310311310310310311310314313314313314316314315315314314313313313311311311312310311312312312312309309310311311310310308307307308308307307307307305306307304303305305305306306306305305304304304303303304303303303305305305305304305306306306304305306307309307308308307308307309308308309309309308309308309308308305308308306307307305307307308307307307307304306303302301303304304304303303303301300301301302300300301303302303303304304301301301300301300302302300300300301303302304304302302303302302303302302303304304304304303303303304302303303303299301301302302302303302303303302302303302302303302303302303302302301302302303303303303301302301302302302301301300300302301300300299299300299299300300300300299298298297297297297297297297297297297297297297297297297297296296296296296297297297297297297297296296296296295295294294294294293294293293292292292291291291290290290290290290290290290290290290289289290290289290290289289288288288288288288288288288287287287288288288288289290289290291291291291290290290290291290291290290290290291291290289289289289289288289289289288288288288288288289289289289289290290290290290290289289289288287287287287287286287287287286286285285285285285285285285284284284285285285286286286287287287287286287286286286286286286287287286285285285285284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283290288288286285284283283284285286287287284281281283284285286288290291294295999999999999999999999999999999999999289287288288288288290291293294292292290291293297297294293294999291290999999294295295294295294295295296296296296295295295295293294295295294295295296295296296296296297298296296296296297297295296296297298298300301299299300300300299300301302302303303304304304304305305305306305304304304304305305304305305306305306306307307306306307307308307307306306305307307306308308308308308308307308308308307307307307307307307307308308307307308307307309309310310309309310309309309309310312310310311312310312311311312313313315316314313314313313314313313312312312312312312313313313311311310311312312310309309307308307309308308308308307305306304306305305306307306307306306305304304303303303303302302304304304305305304305306305305305305305307307306308307308309310306308309309308308310309309308308307307308308308307306307307306306305306306305305304301302301302303302302304304303301301301301301301301301301302302303301301301303302302301301302301301302302302302303303304303303303303303302302302303303303304303303304304304304304301303301302302302302302304303303304303303302302303303303303302303302304304303303304303303303302301302303304302302303301300301299301300299300299299300300300300299299298298298298298297297297297297297297297297297297297297297297296297297297297297297297296296296296296296295295295294294294294294294293292292292292291291291291290290290290291290291291290290291290290290291291290290290289289289289289288288288288289288288289289288288289289289289290290290291292291290291291291290290290289290291290290289289289289290288289288288289288288288289289289289289289289290290290291290290289288288288287287286287287287287287287286286285285285285285285285285285286286286286286286286286286287287287286286286286285286286286286286286285284284284284284284285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284284283282282282283285287288288288285282282283284286286288290294299999999999999999999999999999999999999289287288285288286288289291291295292293294291295294296295295294292291293293293295295293293295295294294295295294295295295295294294293296295295295296296296296296295296296296296296296297297297296296297297298298299300300300300301300300300302302302303303303303304304304305305305305305304304304304305304304305305305306306307307306306306306307306307306306307307307306307308308308308308308308308308307307307307306307305306307307308308306307307308307307308308310309309309307311312310312311311311310310310312312312313313314311313313312313314312312312312311312311312311312313312311311311313312312311309306308308307309309307308307307306306305305305305307308306306306304304303303303302302303302303303303304305305305305305305304304303306306306306309308307307309308305308309308309309308307307307307307306307305306305306305306306306306305305304305304301302303302301302303303302302301301300301301300300303303300301300300300300301302301299301300300302302303303303303302304303304303302302302303303304305304303305304304303303302302303300301300302302304303304304304304303303304302303304304303303303304305303304303303303303301302302302303302300301301300299300299300299300300301301301300300299299298298298298298298297298298298298297297297297297297297297297297298298297297297296296296296296296296296295295295295294294294294294293293293292292292291291291291291291291291291291291291291291291291291290290290290290289289289289289290288289288289289289289288289289289290289290290290290290290291290291291290290290289288289289289290289289289290289289289289289289288288289289289289289289290290289290290290289288288288288288286286286286286286286286285285285285285284284284284285285286286286286286286287287287287287287287287287287287286286286287287287286285285285285285285285286285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282281281280280280280282283286289290290288286283283285286288288290290295296999999999999999999999999999999999999288289290289287289287288290294293294293294296297296296295295294292292293292294294295295295295296295296297297296296295295295294295293296294295296296296295295296296297296297296295295296296297296297297297298299299300300300300300300300301301302302303303303303304305305304305304305305304304304304305306304305306306305307307307307307307306307306306307308306308306307308307309308307307308307308308306308308306304304305305306307307308308308308307307308309310309309309310310311312312312313311309309310312311312313313312312313313313313314314313313313312311312313313312312314311311311311312310310308308306306307308308308307307308307307309305306306306308308307307307305305305303303302302303303302303303303305305306305306305304304305306306305306307307307308308304305309308309309310310309307307306305306306304305302304303306305305305304304304304303302301303303301303303303302301301299302302302301302302302302302302302301299301301300300302300301301302302303303302303301302302302304304303304303305304304305305304303304304301304303302301301300303304304304304304304304304304303303304304302303303304303304304304304305303302302302302303301301301300302301301300300299301301302302301300300300299299298298298298298298298298298298298298298298297297297297298298298298297297297296296296296296296296296295295295295295295295294294293293293292292292292292292292291291291291291291291290291291291291290290290290290290290289289289289289289289289289289289289289289289289289289290290290290290291291291290291290290290290289289288290290290290290289289290290289289288288288289289289289289289290289289288288288288288288288287287287287286286286286286286286286286286285285285285286286286286286286287287287287287288287288288287287287287287287287286287287287286286286285285285285285286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281280280280280279279281283285289291291289287285285287289290290290291292297999999999999999999999999999999999999289289288289290289288287289291292292294292297298298296296296296294294294292291292295295296296292295295296298298297296296296296295295295295296297296294294296295296297298298297297295295296297298297298297297299299299300300299300301301301301301301302302303303304304304304305304304305305305305306304305304305304305305306306307306307306306306307307307306306306307305306306307308307307307306307306307308307308307307304304305307307309307307309308308306308308308309309307309310311312312310311310310309312314313313314312313313313313313313313312312313313312312311313314314313312312312312311311311310308309307308308308308307309309308310308307307307308307307308308308308306306305303304304303305304304303302303304304305305305305305305306306307306307308307307307307307305307307307309308309309308307305305307306306305303304303303303303304302302304304304303304303302301302303304303300300302302302303303303302301301302300300300300301302301301301301303301301302302302301301301301302301301302304303304305305305305305305304304306304303303301302302303302302303304305305305305304303303303303304303304303303304303304305305304303303302302302304303301300302302302303303301300302302302302301301301300300299299298298298298299299298298298298298298298298298298298298298298297297297297296296296296296296296296295295295295295295294294294293293293293293292292292292292292292292292291291291291291291291291291291291290290290290290289289289289289289290290290290289289289289289289289290290290290289290291290290290290290290290289289288288288289289290289289289290290290289289290291290290290291290291290290289289289289288288288288288288287287286287287286286286286286286286286286286286286286286286287287287287287288288288288288288287288288287287286287287287287287286286286286286286285286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290280280280280281281281281283285287292293292288285285286286290293291289290294999999999999999999999999999999999999999288287288287289290289290290293294294295296298298297297296296296295295294293293292295294293292293295296297298298297297297296296295293295297298296294292296296296297297298298296296296296297298299296298298298299298299299300300300301302302302302302302303303303304305304303304304304305303304305305304304303304303303305305306307306307306306307307307306306306306307305307307306307307307306306308307306307307306308306305305305305305308307307307307308306308309308309309309309307310309310310309311310308314314314314313314313312312312312312313312312312312312311312313313313312313311312311312312311309308310309308308308308307307307308307309307305307308308308309309308307306307306305305305307307306304303303304304305304304305304305306306307307305306307307305308307308307306306307308306306308308308308307308306306306304306304305306304302303303303305303302303304303302302304303302300301301301301303303302302300300300300300300300300301301301303301303301301301302301303302303302302301301301302303304304304304305306304305304302304304303303304303303302301303304303303304304303304303303302305304302304303303305304305305302303303302303301301301301301301300302302301300300302302302301301301300300300299299299298298299299299299298298298298298298298298298298298297297297297297297296296296296296296296295295296295295295295294294294294293293293293293293292292292292292291291291291291291290290290290290291290290290290290290289288288288289289289290290290290290290290290290291291291291291292292291291292291290291291291290290289289288289289289289290289290290290290289290291291291290292291290290290290290290290289289288288288288287287287287288287286286286286286286286286286286286286287287287287287287288288288288288288288288288288288288287287288287287287287286286286286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292277277277277278280281281282283285289291293293291287284284284283289293292289292295999999999999999999999999999999999999999288285285286290290289289292293292294295295296297297295296297297296293294293292293294294294293294295296296298298297297296296296295293296295296295294294296296296297298299297295296296296297298297298297298298299299299300300300301301302302303303302303303304303303304303303304304304304304305307305305304304303304304305305307306306308306306306306306306306306306308308306306307307307307306307307307307306307306306305306305304305304305307306307307307307307308308309309309309310310308310310310310310311313313313313314314312311312313313313312312312312313314312312313313312312312313313313313312312309311310309309308309308308308307309307307308308307307308309309309307307307307307307305307307306307304304303304304305303304304305303304305306306306306308307307309308308308307307308307306307307307308306304307307306306306306303304303303304304304303305305301302303303302303303304303303302302301302303302300301300300299299300300300301301301300302302301302301301301301301303302301302302301301301303303303304305305305305306303302304305305302303304302301301302304304302303304303303304303303303304304303303303304305305305305304303302301303301302302301301301302300299299301301302302302301301301300300299299299299299299299299299298298298298298298298298298297297297297297297296296296296296296296296295295295295295295294294294294294293293293293293293292293292292292292292292292292292292291291290291291291291291291291291291290290289289289289290291291291292292291291291291291291291292292292291291291291291291291292292291290289289289289289290289290289289290290290290290291292292291291292292291291291291291291290290289289288288287287287287287287287286286286286286286286286286286286287287287287287287287288288289289288288287288288288288288288288287288288288287286287286286286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287281272274275276278280282283283285289292294293292290285281281281280288294292289294999999999999999999999999999999999999999999285286284287290290287289292293293294296295296296295296296296296296294294293293291292293293294295295294297297298297296296296296296294297297297295296295295296297297297298297296296296297297297298299298297299299299300300300301301301302303304303303303303303304302303302303303304303304304304304305305304304304304305306307306306306306305305306306306306306306308308307306308308307308306307307306306308307307307305305305305307305304307305306304305307309307307308308308309309309309309310310311310310311312311310311312312312311312312312312310310312311311312312312312312312312311312313312312312312309309308309309308308308308306306307306306306308308308307308309309308307307307306307307306304305306305304304304304304303304305305305304305306306306305308307308308304308308307307307307307308306305306306304306306305304304305304305304304305304305304303303303302304303303305304302304300302300301301301300301302300300299300301301300300301302301300302301301302300301300301300300300301301301302302303302304303304303305305306303303304304305305304303302301301303303303303303303305304304303305305303304305306305304304305305305303304302302302302303302302300301301301300300300301301301301301300300299299298299299298298298298298298298298298298298298298298298297297297297297297296296296296296296296296296296296296296295295295295294294294294294293293293293293293293293293293293293292292292292292292291291292292292291292291291291290291290290290291291291292292292292292292292292292292291293292292292292293292292292292292292291290290289289290290289289289290290290290291292292292292292293292292292292291291290291290290289289289288287287287288288287287287286286286286287286286286286286287287287287287287288288288289289288288288288288288288288289289287287288288287287287287287286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280279268270271273274275277281283285286289291293294294294289284281278281277286294293292294999999999999999999999999999999999999999999287287288288287290288289292292294294295294295296296296295295295296294293292293293295294294294296295296297297297296295296296295295295297297296294295295295296297297296296296297295297296297298297298299298298298299300299300301301301301302303302302302302302303302302303302304304303303302303304304304304304304305306306307306306306306305306305306305306306305307308308307307308310309307308306306307307306306306305307306305305306307307306306306307308309308307308308308308309309309309309309310310310311311311310312313313312312312312313312312312313312312313312312312312311311312313313313312312312312310311308309309310308307308306307306306307308306308308308310309309309307307307307307307307305305305306306305305304304306305305305306306306306306306306307307307306307306307305307307307307306306306305305304307306305306303304304304304304304305304304306304306304305304305302302303303301302302302302302302302302302302301301300300301301301301301301300301302302302301300301300301301300300301303304302304305305304303304305303302303304304304301303303301301302303301302303303304304304304304303303305305304304304304303304304304303302302303302303303303303302302302302301301301302302301301301300300300299299299299299299299299299299299298299299298298298298298297298297297297297297296297297297297296297297296296296296296295295295294294294294294294294294294294294293294294293293293293293292292292292292293293292293292292292291291291291291291291291291291292292291291292292291291292292291292293292292293293293293292293293292292291291290290290289289289289290291290290290290291291291292292292293292292292291291291290290290289288288288288288287287287287287287286286286286286286286286286287287287287288288288288289289288289288288288288289288288288288287287288288288287287287287287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288282282280276273273273275276278281284286288289291293294295295292288284280276287283286293293293999999999999999999999999999999999999999999289287287287288290290290291292292294292294295295294296294295295294294294293294293295295295296296295296297296297297297297297297295296296297297297296296296296294295297296296297297297297296298298297298298298299298299299300300301301301301302302302301301302303303302302302302302302302302302302303303303304305306306305306305306304305306306306305305305306306305307307307308307309309306307307306305305305305306305306305305304304305306306305306307307307307307308308307309308308308308308308309310309310310311311310311312312311311311311312312312313312310312311311311311311310311312310313313313312311312310311312311310310309307308307308307307307307308307308308310311309308307307309308306307306306304304304304305305305304306307305306307307306306305306304305304307307307306307308307307306306305306306306305306306306306304303303304303302302303303304304306304305306306303301301301301302303302302302301302302302302302301301301300302301301301301301299300301301301301302302300299301299301303302303304303305304304304304302304304304303304304304302303303303303301303302302303303303304304302305305305304305305304304304304305305304303303303303303303305304304303302301302302302302302301301302301301300300300299299299299299299299299299299299299299298298298298297298297297297298297297297297298297297297297297297296296296296296296295294295294294294294294294294294294294294294294293293294293293293293293293294294293293292293292292291292292292291291292292292292292292292293292291292292292292292292293293294294294293293293294294292292290291290291289289289289291290290290290291291291291292292292292292291292291291290290290289289288288288287287287287287288287286286286286287286286286287287287287287287288287288288289289289289289288288288288288288288288287288288287287287288287287287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280279282276275274274275275277280283285287290291293293294293294293289284280277276278283289294294294293999999999999999999999999999999999999999289288288286289289289289291292292293293294295294294294294295295294294293294293294294295296295296295296296296297297297298297297297297297297296296296297297296293295296295297297298298297297298299297298298298299299300300300301301301301301301302302303302303303302303302302302302303302303303303304304305305306306306307306305305306306306306304304307307307307306306308307307309309306305307306306306305306305305305306306305305305305307306305306306306307308308308307309310310308308309309309309310310309310311311311312312312312312313311310312312312312312312311311311311312312312311310313313313312312312312310312310309309309309307308308307308309308308308308309310310309310308308309308308308306305303303304303303304305307307306307307307307307307307307307306306306307306306306308308305306305306305305305305303306306306305304303303302302303303303306306306306306307303304304303303302303303305303303302302302303302302301302301299300301302302302301300300301301301302302302300300300300300301303304304303304305305304305302303304304303305304303302302302302302302304304304304303303303303303304304304303304305304303304304304305304303302303303304304304304304303302303303302302302302302302302301301300300300299299299299299299299299299299299299298298298298298297297297297297297297297298297297297297297297297297296296296296296295295295295294294295294294294294294294294294295295294294294294294294294294295294295294294293293293293293293293292292292293293293293293293293293292293292294293292292293293294294295294294294294295294293292292291291291290290289290289290290290290290291291291291292292292292291291292291290291290289289288288288288288288288288287287287287287286287287286286287287287287287287287288288288288289289289289289288288289289289289288288287288288288288288287288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278278284279275272270272272276277278281284287288288290291293293293294292291288281278277277280284289293294294296999999999999999999999999999999999999999289288287289288289289289290291292292292293293294296294295295294294295294295295296296296295296296295295294295297295296298298296298297297297297296296297296295295296296297297299298297297298298299298298298298299301300300300301301301302302302302302301301302303303302301302301301302303303303303304305305305306307306306306305306306307306306305305306307307307306306305306309308307306307306306306305305306306305305305305305307308305307307308307306306306306308308307308309308309308309309309310311310309310311311312312312312313313312311312311312312313312312311312313312312312313312314313313312312311311311310310310310310310310310309306309309309308309308309309310310309310309310309307307307305306305304304304304303305305307308308307307306308308306308309307305307308307306305304305307306307306305305305306306306305305305305304305303303303303305305306307305306306304305304304305305305303304303303302303302302303302301302303303301302302303302300302300300302302303302301301301301300301303301305305303303306305305306304305305304304303303303304303304302303303304304303303304303304303303304305303305304305305304304305305305305303303304303304304304304303303303303302302303302302302302302301301300300300300300299299299299299300299299299298298299298298298297297297297297297297297297297297297297296297297297297296296296296295295295295295295295295295295295295295295295295295295294295294294294295295295295295295294294294293293294294294293293293293293293292292292292292292291293293293293293293293294294294294294294293294294294293292291292292291290290290289290290290291291291292292292292292292291292291291291291291291290289289289289288288288288288288287288287287287287287287287287287287287288288288288288288289289290289289289288289289288289289288288288288288288288288288288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278275275275274274275279279281283286288289290291292293293293293291290285280279279280284286291293295295999999999999999999999999999999999999999290289288288288288288289288289290292292292294293293295295295294295293294295295296297296296295295295295294294296297297297298298297296297298297297297297297296295295297297298297298297297297298298299299299299300299300301300300302301301303303302302301301301301301302301302301301302302302302303303304305305306306306307306306306306307306304305305306307305305305305306307306309308306306307306307306307305306307305305304306305305306309309306306307307307307306308308308308308309308307308309308308309308308312310311312312313313313312311310311311312312312311312312313312312311313312312311311310311312312312311312312312311310310310310308309311310308309308308308310311310309310309310308308306305305305305304304303304304304305305307307307307307308308306306307307307308308307306306306304305307306304306306306306305305303305304305305304301303304304305305306305304305304303305305304305306306305304303303302302302303301301302301303301301301301302301301302301301301301302300300301301300300301304301302304303302306306305302305305304306304304303305304304302302303304305305304304302305304303303303303305305303302303303304304305305304304302303304304304304303304304304303303301303303302302302302302301301301301301300300299300300300300300299299299299299299298298298297297297297297297298297297297297297296296297297297297297296296296295295295295295295295295295295295295295295295295295295294294294294294295295295295295295295295294293293294294293293293293293293293293293293293292292293293293295294293293294294294294294295294295295294294293293293293291291290290290290291291291291291291293293292292292292292292291291290291291291291290290289288288288288288288288288287287287287287287287287287287287288288287287288288288289289288289289288288289288288288289288288288288288288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281277275275277278277278280282282282284287289290291292292293293292292289285281276278281285289292293294294294999999999999999999999999999999999999999289290289288289289289290291291292293293293293293294294295294294294294295296294294297295294294295295295294295296297296296298299298297297298296297297298298297295296296297297297299298298297298298299299298298299300301301300301302302302303303301302301301301301301300301301301301301301302303303304304306305306305306307306307306305304306304304305305306305306306306306307307307306307306307306308307307308306304305306307308306307304308309307307306306306307308308309308307309309308308309308309309309310311310312312312312312311312312310311312312313311311309311312311311312311311312311311312312313310311312312312312313312310310311310308308308309308309309309310310311310309310309310308307307308305306305304305304305305304304305306305306306306307308306307307306309308308306307308307307306307305306306305307305305306303303304304304305303302305304305305306306305304305302302304305305305305302302303304302302302303302300302302301301300302302301301302301301301301301301300300301301301300302302301301304303302305304304304305305304303303303303303303304303304304304305305305304305305304305304304304304303303303303302304305303304303303303305305303304304305304303304304303302303303303303303302302302302302302301301300300300300300300300299299299299299298298297297297297298298298297297297297297297297297297296297296296296296296296296295295295296295295295295295295295295295296295295295294295295295295295295295295295295295295295294294294294294294293293294293293293294294294293292293293294293294293294294294295295295295295295296295295295295294293293292291291291291291292292291291292293294294293293292292291291291291291292291291291290289289288288288288288288288288288288287287287287287287287287288287288287288288288289289289289289289288289289288288288288288288287288288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277277278279280281282284285285285286288290291292293293293291290291287282277275278284289292294294294294294999999999999999999999999999999999999289290289289289290289290291290290292291294294294293293294295294293294294295294293296295295296296295295296296294295295296297299299298298298298295297297297298296296297297295298296297299298298296298299299301299299298300300301301302301302302302301301301301301301301302301301301302301303303303303304304305304306306306306308307307306305305306307306306306305307306307308307308307307308307306307307307308308308305307307307308306306305305309306306306306307308308308309308308308309309308309308307307309310311310310311310309311312311311310311311312313312312310311311310311310312313313312313313313312312310312313312313313312311311310311309308308309309309308308309310310311310312312310308308309308308307306305305304304306305305305306306306306306306306308308307308309306307309310310304308306305304304304306307307306305304305303303304302304305306306305305305306304304305306306305306306306305305304305305302302302302301302302302302302301302302300300302301302301302302301300300301301301301300301303302301305304304306306304304303305304304303303303303302304305303304303304304304305304305305305304303304303303304304304303304303304304304304304304304305305305305304305305303302303303303303303302302302302302302302301301300300300300300300300299299299299298298298298298298298298298297297297297297297297297297297296297297296296296296296296296296295295295296296295295295295295296296295295295295295295295295295295295294294295295295295295294294294294294294294294294294295295294293293294293293293293294295295295296296295296296297296296296295294294293293293292291291292291291292292292292293293294293293292291291291291292292292291291290290290289289289288288288288288288289288288287287288287288287288287287287287288288289289289289289289289289289288288288288288287288288287288288289288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280999275274278280282282282283284286287287287288289290291292292292292289288286283279276276280286290294295294295295296298999999999999999999999999999999999291292291290290291290291291291291292292293294294293293293294294293296296296294294294295297297297295295295296297296295295296298299299299297298297298298297297297297298297297297298298298297298297298299298299299299300301300301302301301301302301301300300302302303303303302303302302303303303303303303303305306305306305307308308308307307307306308307307307306306307308308307308308309308307307308307307308307306306306306306306307305305305306305305309308307309309309308310309309309310309309309308310308310311308310311310310312312312311310310311311312312312311312312312313313312313313313313314313312311313311313314313314313313312311310309308307309308309309309308309311313313312312310310311310308308307307307307306305306307307306306305305305307307307307307309309310310310308310309308307307304305305307305306307306305305304304302303305304303305306305307305306307306308307306305306306306306306304306303303303302302302302302301302302302301301301301301302300302301302301301300299301302302301301302304303304302303304306306304305305305304303302303305301303303304304304304305304304305303305305304305305304303303304303304305304305304305305305305305305304304305305303305305303302303303302302302302302303303303302302301302301300300300300300300299299298298298298298298298298298298298298297298298297297297297297297297297297297296296296296296296296296296296296296296295296296296295296295295295295295295295295295295294295295295295295295294294293294294293294293294294295294295294295294294294294294295294295295296296296295296297297297296295294294293294293292292293292292292292292293293293294293293292293292292291291291292292291291291291290290290289289289289289289289289288288288288288288288288288288288288287288288289289289289289289289289289288288288288288288287288287287288289288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999999999999999999999999999999999999999999999999999999297999999999280278279280279280281283285285285285286288289289289289290290291292292292291288284283280278278280285290293294294294295296295298999999999999999999999999999999291293293291291292291292291291290291292291293291292293292292293293294295295295294295296297297297297296295296297298297297296297297298298297297296297298298298296298297298297298298297298297297297297298298299299299300300301301298301300300300300301300300301301302303304302302303304302302302302302302302304305305305306306306306308308308308307306306308308306303306307307306307308309308307307305308307308307306307307305307305304306305304303304307308307308308307308309309310310310309309309309308309310310310309309310310310310311311312312311311312310311312312312311311311311311313312310312312312313311312313313313313313314313311310311310309310310308309310308308308310311311313311311311311310308307309307305307305306306306307308307306305306306306307306306306308309307309308309310309306309308307306307307306306306305305305303302303303303304304304304306306304305305307305307305305307306306306306305305304303304303302302302303303302302302300301300302300301302301300301302302301301301302301302303303303303302304304306305306304305306303303304304302302302302304304304304304304304304305305305305304304304305303303303303303304304305305305305305304304304304305304304304305304303302303303303302302302302302302303302302302302302301301301301300300300300299298298298298298298298297297298298298298298298298297297297297297297297296297296296296296296296296296296296296296296296296296296296296296295296296296296295296295295295295295295295295294295295294293293294293294294294293294296295294296295295295295295296296296296296297296297296297296295294295294293293293293293294292293292293293293293294293293293293292292292292292292292292291291292291291291290290290290289289289289289289289289288288288288287287288288288288289289289289289289289289289289289288289288288288287288287287289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999303304999999294292293294999296291289284283282281281282283284284285286287287287289289290290290290290290291291291288286285283282281282285287290292294293294294295295296297999999999999999999999999999999291292292289292293292292292292291292292292294293292292292292292292293294294294294294298298297297297298298297296297297298296297297299297296298297297297298298298298297298298299299298298298300297298296297298299300299300300297299299300301301303301300302300302302304304304303302304303302302303302304305306305305306306306305306307307308307306307309308308306306308307307306306307308307309308308308308308308307306306306306305304305305304304306307309308308309308309309309309309310311309311308308308310310310308309309310310309310311311312310312313313313312312311312312313312313313313312312313312312312311312313313313313314313312313311311310309309310309309310309309310312311310311311311310309309309308307306306307309307305307307306306305306305305306306306308308309309307307307309309310309308307307307307306306306307303303305304304303305304303304303307307304306305306307305305308307305306305304304304303304303303302301302303303303302301301302303301301301302302300301301301301301301302303302303304304304302303304305305305303305305304302304304304302303300302303304303304304304304304303303303303303304304303305304304304304303304304304305305304303303303305303305304303304303302303302302302302302302302302302302301301302301301301301301301300300300300299298298298298298297297297297297298298298298298298297297297297297297297296297297297297297297297297297297297296296296296296296296296296296296296296296295295295295295295295296296295295295296295294293294294294294293294295295295296296295295295295295296295296296297298297298297297296296295295294294293293293293294293293294293293293294294293293294293294293292292292292292292291291292291291291291290290289289289289289289289289289289289288288288288288288288289289289290289289289289289290289289289289289288288288288288288289289288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298999999999999999999999293299999999286287287287288289288288287286285285284285286287287288288289288288289290290291290291290290290290288288286286286286287288289290292293293293293293293294295296297298999999999999999999999999289291293293293293292292292292293292292294294294293293292292292292292294294293294296295298297297297297297297298297298298298298297297296296296297298296297296297298297298299299299299299298297296298297298298300299300299299300299298298300301301302301301301302304303303305304304303304302302303303303303303304303304305308306304306305305308307306308308307307306307308306308308307309307308304306306308307308308306306304306305305306306305303306306308309308305309309309309309309309309310309308309309310307308308307309309310310310310310310310311311313313313313313312312312312312311311312312313312311312313312310312312314313313312312312309310309309309309309310308310311312312312310310311310310309309309309308307307308308307307306306305305305305306306308306307308308309309309309309309309310310308308307307307305306306307306304304303305305304303303305307306306305306305305305306306306307309305304304305304303303303302301302303302302302302302301302303301302304302301301302301301300301302301301301303304304302303304304304305304304305304304305303303304304303303302302302303303303303303303303303303303303304303304305304304303305304304304305305306304303305304306304305305304304303303302302302302302302301302302302302302302302301302302302301301300300301300300299299298298298298297298298298298298298298298298298297297297297297297297297297297297297297297297298297297297297297297297297296296296296297297296295295295295295295296295295296295296296296295295294294294295295294295295296296296297295296295295296296296296297297297297298297297297296295295295294293293294293293293293293293293294293293293294294294294292293292292292292291292292292292292291291292289290290289289289288289289289289289288288288288288289289289289289290290289289289289289289289289289289289288288289288289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296295999999999292294294292298294292288289289290289290289290290289288288287288289289289289289290289289290289290291291291291292289289289289289290291291292291292293294293293293293294293294295296297297999999999999999999999287289292293294294292292291292292292292293291294294293293293292292292293294293296296296297297296297298298298297298297298297296297298297297295296297296295297297296296297297299299299298300299299299299298299298299299300300299299299299298299299299301302301301303305305306304304305304304303303302303303303303303303302304306305305305306306306307307308309308307307305306306307309310307308307305303306305307307307306305305305306306307308308307307307307306309309310310310309310310309309307307307310309310309308308308309309309309309311310310310310311312312313313312311312313312312313313313312313312312313311311313312313313313311311310311310309309309310310310310309310311311312312312311311310310311309309308308308307308307306307307307306306306305306305304306308308309309309308308309309310310309310309308306304304306307306306307307307304306304304304304304305306307304304305305305305307305305305302305305304302303304303302301301302301300302301302302303301302303302301301302301301301303301302301303302303303304302304305304305305304303303302301302301302302303302302302303302303302303303303302302302302303303303305303302304304304303303303303303304303304303303303304304304304303303302303302301302301302302302302302302302302302302302302302302301301301301301301300300299299299299299299299299299299299299299298298298297297297297297297297298298298298298298297297297297297297298298297298297297297296297297296296295295295295295295295296296296296295296296296295295295295295294295296296296296295295295295295295295296296297297297297298298297296296295296295294293293293293294294294294294294294294293293294293293293293293293293292292292292292291292292292292291290290290289289289289288289289289289289288288288288288289289289290290290289289289290289289289289289289289289288288288288289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300298295298999999293293292291292291290291291291292292292293293293292292292291291292291291290290290290290291291290291291291292292291291291292292292292292292292292293293293293293294294294294295295295296295293999999999999286289289291293294293292291291291292292292293293293293292293293294294293293293292294296297297297297295297298297296295297297296296299299298299296296297297296298297295296296297297298298299300300298299299300300298299300300300299299299298299299300301299301302303304306307305307304304305304303304303301302302303304303303302303304306306307307307307308308307308307306307306308306305309308307306304303304304304306306305305305305304306306307307308305303304305309309309309310308309307307305308309308308309308308308309309309309308309310309309310311310311312313313312311311312312312313312313312312312311312313312312311312312313313312310312310311309309309310307310311312311311311311311310310310311310310308309308308308306308307306308306306307305306306306306305307308309310309308308310310309310308309308310309306307306305306307307307307307305304304303305303305304306307306306304305305304304304302304304304305305304304302301301302303303301300300301303303302300303303301302302300302301302302302303302302302302304304304303305304304304303303304301300301301299301301303302302302301303302303302302303302303302302303303302303303304304305305304303303304304304304304302303303304304303304303302302302302302302301302302302302302302302303302302302302302302301301301301301301301301300300300300301300300300299299299299299298298297297297297298298298298298299299298298298298298297297298298298298298297297297298298297297296296295296296296296296296296296296296296296296296295295294295295296294295295295295295295295296296296296296296297297297298298297297297296296295295294294293294294294294294294294294294294293294294293294293293293292293292292292292292293292292292292291291290290290289289288288288289288288288288288288288289289290290290290290290290289289289290290290289289289289288288288289289289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296292291999999999293292291290291292293293293294294294294294294293293293293292292292291290290290291291291290291291292292293293293293292293292292292292292292292292292292293293294294294294296295295295295293294999999999285287290292293294292291291291292292291292293293292294295294295294294294293293293293293295296295296297296298296296295296296296296297298297297294296296296297297296295296297296297298298298300300299297299300299300300300300300298300300299299300299300300302301305305306307305305305304305304303302303302302301304303303303303304305306305306306308308307308307308306306306307307306306307308307306306305303304304305304305304305305304307307307307304304304307305305309310310309306306306306305308309309308308309309308309310309309307309310309308311310310310312313313312311313312313312312312312312312311312313312313313312311311311311311310310310310309309310311311311311311311311310310311310309310310309310310309308308307307308307306306307307306305305306306306307307307309310309309310310310311311308310310310308308308307306307309308306307307307305305304306305304304304306304304303303304302305305304304303302304303304303301302301301302303302300301300301301301301303301301302303303302301302302301303302303302302304304305302304302303302304301302302299301300300299301301300302302303303302301303303302302303303302303302302303303304304304304304303304304305305304304304304304303303303304304303302301302302302301302302302302301302302302303303302302302302301301301301301301301301300300300301301300300300300300299299298298299298298298298298299299299299299299299299298298298298298298298298298298298299299298298297297296296296296297297296296296296296296296296296295296295295294295295295294295295295295294295295296295295295296296296297297297298297297297297296296295295294294295295295295294295294294294294293293294293293293293293293293292292292292292292292292292292291291291291290289289288288288289288288288288288289289289289290290290290290290290290290290290290290290290289289289289289289289289289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295292999286294289290290291292292293294293294294294294295295294294294293293292292292292291291291291291291291292292292293293294293292293292292292292292292292292293293292292292293295295296296294295294293293293292999999287288291293294293292291291291291291291292292292293294295295294294293293294292293292294294295297296296295298297296297296297297297297298298297297297297297297296295295297298299299299298299300299299297299300302300300299299298299300300299300300299299301300303303304307307306306305305305305303303304303303303304304303304302304306305305305307307307305308307308307307307307307307306306308306306305304303305304305305305306306306305306306307306307304305306306306307307307306305307305307309309307307307306309309308308308307307307309309309309309310310310311311312312312312312313312312312312313312312313311312312313313313311311312311311312312311311311311310312311312310311312311310311310310309310310309310309309310308307307306306306307307307307307307308308308308309309311310311311311311312311311310310309310308307308307309308307308308308307306306307305304304304305304306304304303304304304304305304303304305303303303302302301301301303303303302301299301299301301302301302302302303302303303303303302303302302304304303302304303304303304303301300301300299301301302302301302303304304305303302302302302302304304302302303302302303303303304304303304303304304303304302302304303303303304304304302302302302302301301302302302303303302302302302302302302302302301301301302301301301301301300300300301300300301300300300299299299299299299299300299299299299299299299299299299298298298298299299299298298298299298298297297296296297297297297297297297297296296296296295296296296296296296295295295295295296295295295295295295295295296296297297297297297297297296297297296296295295295295295295295295294295295295294294294294294294294293293294293293293293293292293293292292292292292292291290291289289288288289289289288289289289289289290290290290291290290290290290290290290289289289289288288288288289288289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999999300299300297295290291291292292292293293293293294294293293294294295295295295294294294293293293293291291292291292292292292292293293292292292292292292291291291292291291291291292292292292291294295295295295295295295294294294294999999287290292292293292289291291290292292291292292291292294295294294294293293294294294295296295295297296296298297298298297297298299299300299298298298298298298298298298298298299299299299300300299298299298298299300299299299299300300300300300300299301301303303303304305305308306305305304305304305304304303303303303303303302303304305305306304305307307305307307308308306307306306307305305306305304304304304304305305304305304303306306306304304304305305304306306306307306308308306308307308307307308306308306309307309310309309308308308309309308309309311311311311311310311311310311311312310311313311312312311314313314314314313311311312311312310312310310312311311311311311311310310310311309309310310309310309310310309308307307306307306307307307308308308309308309309308308310310310311310311311310311311311312311309308308307309309308309308308308307307307307305305306305305304304304304304304304303305305304304304304302301302301301302300301302303302301299300301301302303304302302302302302304303303302302301302303302303304301302302302303302303302301302300301301301301303303304303305304305304303303303301302303304302303303303303303304304304304303303303303303303304302302303303305304303304302303302302302302301301302302302302303302302303302302302302302302302302301301301301301301301301301301301301300300300300300301300300300299300300300299299299299299299299300298299298299299298299299299299299299299298298298297297298298297297297297296296296296296296295295296295296295295295295295295295295295296295295295295295296296296296297297297297297297297296296297297296296295295295296295295295295295295294295294294294294294294294293293293293293293292292293292292292292291292291291291290290289288288288289289288288289289289289289290290290290290290290290290290290290289289289288288288289288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302295999297300300297296293293294293292293294295296293295294294293293295295295295295295295294294294294293292292292292292292291291291292292291292292292292292292292291292291290291292292292291293292294294295295295295295295295296295294999999286291292292292293290291292292293293292292292292292292294295293294293294294294294294294294294297297297298298297295295297297297297298298298298297299298298297298298297297298299299299299298298298299300299298299300299299300299299299299300301302301303303303305304307306305306306306305305304304305304303304304304303304304304305305304305304306307306305306306306307307308309306304306305304304305305305304304303303305304304303304302304304305305304305305306307307308307309309308307307306307308306309306307307307309308309309308308310310309308308309311311311311309310311310311311312312311311311312311311313312313314312312312312313313311312311311310311312312310311310310310310309310309309309309308309310309311310309308307307307308306308308309309309308309308309309309310311309311311311312312312311311312311311310308308307308310308308308307309308308306307306306306305305306305305305304304305304304303305303303303301302302302302301301303303302300301301302301302301302304302301302303304305304303304303303303303303303302304303304302302301300300299300300301300300300302303304304303304305304303303303301302303304304303303303303301304303303303303303303303303302303302304304302304304304303303303302302303302302302302302303302302302302302301302302302302302302301301301301301301301301301301301300301301301300300300300300300300300300300300300299299300299299299300299299299299299299299299299299299299299298298297298297298298298297297297296296296296296296296295295295295295295295295295295296296296296296295296295296296296296297297297297297297297297296296297296296296295295296296296295295294294294294294294294293293294294293293293293293293292293292292292292292292291291291291291291290290289288289289289289289289289289289290290290290290290290290290290290290290289289289288288288288289288289289289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301300299298296296295296294293293294296297297297296294294293294295296295295295295296296295295295294292292293293292292292291292292292292292292292292291292292293292291291291291292292292293291293294295295295294294295294293293292288281288290292291291292291291293294291293292292290291294294294294293294295294294296296295295296294296297297296296296294295295297296296297298298298297297298298298299299299297298298299299300300298299299299298297299299297299299300300298299299300302300301302303303306307306307307306306305305304303303304305304303303304304304305304304306304303304306306305307307306306306306306306305305305307305305304303305304303303304304303302303302302302303304304305305306307306306307307308308307306306306307308306306305307308308306306308309309309309308308309309311310310309309309310310311311311310310311311312310310312313315313312314311314314312310313311312311311311311311311312311310309309309309310309309308310309309310310308308307308307306307307309308308309308308308308308309310311310311312311313312312311311311310310311310308308310310309309308308309309309308308307307306306305307306306306304304304303303303303303304304303303302302302301300303303303302300301302301304304304304302302303304304303303304304304304303303304302304304303302302303301301301300301302301302301302301303303303303303305304305305304302302303303303302304303302302304303303303302302304304304304303302304305303304303304302301303302302302302302302302302302302302302302302302302302302301302303302302301301301301301301301301301301301301300301300301300301300300301301300300300300300300300299299300299299299300300299299300300299299299298299298298298297297298298297297297297296296296296296296295295295295295295295295295295296295296296295296296295296296295295296297297297297297297297297296296296296295296296296295295295294294294294294294294294293293293293293293293293293292292292293293292292292292291291291291291290290290289289289289289289289290290289290290290290290290290290290290290290289289289289289289289288288289288289289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303302300300301299297295294295295295294295295296296297297296296295294294294294296295295295296295294294294293293293292292293293292292292292292292292292292292291292292291291292291291291291292292292291291293293295295295294294294294293294294293292291293292291292292294294295294293293292292291292294294294294295294295294295295296296295297297296296298296297296296296296297297296297298299300299298297297298299299298298299300300299298298298298298299299299298298298298299300300299299300301302300301302303305306307307306306305305305304305305304304302303302302303303304305305303303305305303304306306307305306306305305306306307305306305306304304305304305305303303303302301302303303304303304304306307307307306306306304307306306305305306306306306306306308309309308307309309309308309309308309308310310309309309310310311311310310309310310311311311309313315314313312313313312312312311310311312312312311310311311312311309310309310310308309308309310310309309309307308307307308307308307307307308310310309310310309309310312311311311312312312312311313314314312310310310309310311311309309309310310310309308307307307306307307307306305304304303304305304306304304303303302302302302302300302303302303301303301303303303304304303302303304304304303304304303304303304303302303304303301303301301301301300301301302301301301302302302301303304305305305304303302302302302301303303303303303302302301301301302302303303304302301302303303303302303303303302302302302302302302303303303302302302303302303302302302302303303302302302302301302302302302302302302301301301301301301300300300300301301301301300300300300299300300300300299300300300300300300300299299299299299298298297297297298297297296296297296296296296296296295295295295295295295294295295296296296296296295296296296296296296296296296297297297296296296295296296296295295295295295294294294294293294293293293293294294294294293293293293293293292292292293293293293292292291291291291291291290290289289289289289289290290290290290290290290290289290290290290290290290290289289289289289289289289289290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999303304999999305306305304302303302302301298296295294295296297295296296296296297297296295295294294294294296295294294294294294294293293293292293293293293292291292291292292292293293292292292292291291292292291291292292291290290291292291293294294293293292294294293293294292293294292294292292294292293293291291292292292293295296295295295295295294295295296297297296296297296296297296296295294296297297297298298298299298299297298298299297299300298298298299298298298299299300300298300298298298299299300299301301302301300302303303304305306305307305304305304304303305303303301303303303302301302304305304304304303302304305305306305305306306305304305305304303304304305304304303304303304304304304302305304304303305303304307307306307304305306306307305305304305305306306306307306307308307307307306307308308307306305309308307307309309308309310310310311309310310310310312311311311312313313313311312311311311311311311310312311311310310310311310309308309309309308308309310310310310309309307308308308309308308308307308309309309309309309309310310311312311310312313313314314315313313313312310311310310311311310310310310310310310308307307306306306306307306305305305304304305304304305303304303302302303301302301300302303304302300301302303303303302303303303304304303304304304304304304303303302302303302302301300301301302301300302301301300300301302301302303304305304305303303303303303302302303302302303303303302301302302302302303304303302302303303304302303303302301302302301302302303303303303303303302303303303303303303302302302303303302302302302301301301301301301302302301301301301301300300301301301301301301301301301300301301300300300300300300299300300300299299299299300299298298297297297298297297297297297297296296296296295295295295295295295294295295295296296297296296296296296296296296296297297297297297297296296296297297297296295295295295295294294294294294294293293293293293293293294294293293294293293294293293293293293293292292292292292291291291291291290289289289289289290290290290290290290290290290290290290289289289289289289289289289289289289289289289290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999303301999303999999999999999999304999999999999999999999999999999999999999999999999999999999999999298300303302300302302301303301999300301301301300299298296296296297297296296297297297297296296295294294294294295294295294293292293293293293293293292291292292291292291291291292292293293293293293292293292291292290290290291291291291290289291291292292292292293293293292292292292292292291292294293293294293293293291292292293293294295296294294295296295295295295295295297296296295296296295296295295296295297297298298299299298296300297297298298298299299298299299297298298298298299299298298300299299299300301299302302301301301303304304305304304305304306305304305304303303305304302301303302301301303304302303304303304304303304304305306306305305304305304305306305304305304304303304303303305305305304303302304304305304305302303304304306306306306307306305305306305304305306307306307307307309307307307307307308307307306306308308308309309308309310310311311309311311310310311311311311310313312313311313311311312310310311310310312311310310310311309310310309309309309308308309308309309308308306308308309309309307308308308309309309309309309309310310309310311311311312312313315315316315312313312312313311311311312311310309310310309309308308306307307307307308308306304306304304305305304304304304304304303302302302302302303302301302302301302303302303304303302303304304303304304302302304303304303302301302303301301300302302302303302301302301301301301302301302301302303304305303304303303303303302301303302301302301301302300302303303303301302301302303303303303301303303303302301301301303303303303303303303303303303303303303303302302302301301301302302302301301301302302302302302302301302302301301300301300301301301300301300300300299300299300300300300300299299300300300300299299299298298298298297297297297297298298297297296296296295296295295295295295295294295295295296296296296296296296296296296296296296297297297296296296297297297297296296295296296295294294294294294294294294293294294293294294294293293293294294293293293293293293293293292292292292292291291291291290290290290289289289290290290290290290290290290290290290290289290289290289289289289289289289289289289290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304307303304304303305304305303304999999999999305999999999999999999999999999999999999999999999999999999999301300301301301299299300300301301301302302302301301300300298298296296297298297297297297296296295295295295295294294294294293293292293293292292293291291292292291291292292291292292292293293293294292293292293292290290288290290291291291291290292292292292291293293293293292292292291290291292293295294293294293293293292292293293293295295295295294296295295295295295295296296296295296296295295294295295295296297298298299299299298299299298297297298298298299298298299298298299300299299299300299299300299301301301299300302302303303304304303305305305305305304303304304304304303303304303303302301301302302303302301302303303303302303303303304306304304303303306305305305305306305304304302304303304305305306305304305304305307305304303303303305306306306307306304304306307304305304307306306307307308308305305307307307306306306306306307308308309308310310309310309311311310310310310310310311310312313312312312312312312311309309308310311312312310311310310310309309309309309309307309310308309309309308309309310308309309308309308310310310309309310309310311309309309312311312312314314315316315313314313313312311312312312311310311311311310307308307307307308309309308308306305305305304304305304305304303302303303302301301302303302301302301302302303303303302302303302303304303302303302303304302302303303302302302302301301302301302303302302302301302302301300301300301301302304303305305305304304303302302302301302302302302302302301303304304304303303303302302303304304304303302303302301301301302302303303303303303303303303303303303303303302302302302301302302302301302301302302302302302301301301302301301301300301301301301301300300299299299299299299299299299300299299299299300299299299299298298298298297296297298297297298297296297296295296296296296295295296295295296296296297296297296296296297296296296297297297297297297297296297297297297296297296295295295295294294294293293293293293293293293293293293293293293293293294294294294294293293294293293292292292292292291291291291290290290290290290290290290290290290290290290290290290289290289289290289289289289289289289290289289290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308306305305305304304304304304304305304999999307306305304301302999999999999999999999999999999999303305306300300300299299300300300301301301301302302302302302302302302302301300299298299298298298298298297297296295295295295293294294295295294293293294294293293293291290290289292292292292291291292293293294294293293293292291290291291290289290291292292293294292295290292292292292293293293292291290292293293295294294294293293293293292293294294294295296296296295297295295296296295293295294297296297297296296296295296296296298298298299298298298299299299298297298298298298298299298298299299299300301300300299300299300300300301302302303303303304303304305305304304305306305304304304304304305303304302301301303303304303303302301301302302302302303302303302304304304303304304306306304304304304304303303303302302303303302304304305302306306302304305304306305306306305306306307307306307305305305306307307305307307306305306306306306306306305305305305307308310309310310309309309310310311311310309310310311310311312311310312312310310310310310309310310311311312309309309310309309309309309308308308309308309309309307309310309308307309309310310310309310309309310309308309308309311310311313313312314315315314314313313313312312313311312311311310310310310309307306307310309310309308308306306306306305306305305303302304303303304302302301302303301302301302301302302301302302303304302303304303303302302303303301302302302302302300299299301300303301301301301301301302302301300300300302302304305304304303303304303303303301301303301303303304303303302304304304303302304303302301301301302302303300303302302301302302302303303303303303303303303303303303303302302302302303301302301301302302302302303303302302301302301301301301301301301301301301301300300300299299299299299299299299299299298299299299299299299298298298298298297297297298297298297297297296296296296295295296296296296295296296296296296297296296296296297297297296296297298298297297297297297297296297297296296296295295294294294293293293292293293293293292293293293293293293294294294294294294294294294294294293293292292292292291291291291291291290290290290290290290290291290290290290290289289290289289289289290289289289289289290290290290290290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310310307305305305305305305305304306304304306306306306305305303301302999999999999999999999999304302302302303303302299299300300301300300300300301302302302302302302302303303302301300300299299299298298298297296296296295295295295294295294295296294293292293294294294294293292291292292292292292291291290292293293293293293293292292292291291291290290289290290291293293293293292291292292293293293293292292293295296295293294293294292292292293294295295295297297297297296295295295295296295295293294296297296297296297297297297297297298298298298298298297299298298299299299299299298297299299300300297297299299301301300300301300300301300301302303302303304302303305305304304304306304303304304304304304304304302302301303303303302300301301301302302301301302302302304305303303303303303305304304303303304303304303303303304303303304302302303301305303303304304304305306304304306306306306307306306304306304305306306307306307306304305306305306306306307306306307306309309310309309310309310310309310312308309311311311309310313312312312312312311310310311311311310310309309308309309309310310309309308308308308308309307309309308308309309308309309308310310309309310310308309309308309309310311311311312312313313314315315313312313314314312313312312312312311310310311310308307308309308309308308307307306307307305305305305305303304302301300300300301302301303301302303302303302301302304303304304305304304302301303303303302300301301302301301299299299301302301301302302301300303301299300302303302303303304304303304303304303303303302302302303303302303305304303305303303303303302301302301302302302303303302301302302301301302302303303304303303303303303303303303303302302302303303302302302302302302302303303302303302302301301301301301301301301301301301301300300300299299299299299299299298299298298298298299299299299298298299298298297297298298297297297297297296296296296296296296296296296296296297297296297297297296296297297297297297297297297297297296297297297297297297297296296296295295294294294293293293292293293293293293293293293293294294294294294294294294294294294293293293293293292291291291291291291291290290290290290290290290290290290290290290289289289289289289289289289289289289289289290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308308308308307305305306306305305304304305305305306305306307306305304302999999999999999999999999303304302301302302302301301301301301301301300300300301301300301301301302303303301302301301301300299298298298297296296296296296296296295295295295297296294294293294294294294294294293291292293292293293292292291292292292292293293292292292291290290291291289289289290291291292292293293290293290293293292292291292293294294292293293293293291291290292295296295297297296297298297297297296296296297295295295294295295296296296297296297297297297298299299299300299298300299298298299299299299299299299301300298298298298298299300301301300300301302302302302302303304303304305304304305305306305304305304305305303304305303302301302302302303303301301301302302301301302302300303302301301303302302304303304303303304303303303304303303302303302302301302302304303304304304304305306305304304304304305304304305304305305305305306306306306306305305305305306306306308307306307307309309309309310310308308309309310310310309310312310311312313313313311311312310310311311312311310310310309308309309309309309309308309308309309309309309309309309309308308308308308309309309310310311311311310309309309309309311310311311311312312314314314314313312312313314311313312312312311311311310310308309309309308308308308307308307308307306306305305304305306304303301300300301301302303302302302302303302304303303304304304304304305302301303303303304302301300300301301299300301301302300300301300300300300301301301302301301302303305304302303304304303303305304304303302302304304303304302305304302304302303302302302305302302302303303302302302301302303303303304304304303303304304304303303303303303302303302303302302302302303303303302302302301302302302302301301301301301301301301301300300300300300299299299299299299298298298299299300298299298298298298298299298298298298297297297298297297296296296296296296296295296296297297297297297297296296296297297297297297297297297297297297297297297297297296296296296295295294294293294294294293293293293293292293293293293293294294294294294294294294294294294294294294293293293292291291291291291290290290290290290290291290290290290290290290289289289289289289289289289289289289289290289289290289290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308309307308306306306306306306306304305305306306306306307307305303999999999999999999999303999304303302301302302302301301302302302301300300300300300299299299300301302302302302302302301300300299299298297296295295296296297296296296296295295296296295294293293294293294294294294294294294292294293294292291291292293294294294293292292293292289287289290290291291290291291291292293293293293292292293292291291294294294294293294293293292291291292295296297298297297296297297297297297296296296295295296295295296296296297297296297297296296298299299299299298298299300299299299299299298298299300299300300298299299299300300300302301301301303302303304303303304304305304304305306307305303304306306306305305305303302303304304303304303302303302303301301301302302300301302302302301302302302303304304304304303303304304304304304303303302302303302301304303303304305305306305305305305305304306306304306304305304306305307307307305305305306306305306306306308307307308307308309310311312311311309308310310309309309311310311311312313314312312311310310312312311313311311311311310310309309309308310309309309308307308309309309310312309309309309309310310310310310311310311310309310309309309309309309309310310310311312313314311313314314312312312312313311311311311311310309310310310309308308308307308308307308308308306304304305304304304304303302301302301301302307303303303302303303305305305303303304304306305303303303303303304304302302300301302301301301302301301300301299299300301301301302303301302303303303304303302304303302302304304304304302304305305304304302303304305303304303303304304303303303304302304304302302302302303303303304304304304303304304304303304303303303303303303303303303303303303303302302302302302302302302302301302301301301302302301301301300300300300300299299299299300299299299300300300299299299298298298297298298299298298297297297297297297297296296296296296296296296297297297297297297296296296296296296297297297297297297297297297297297297297297296296296296295295295294294294294294294294293293293293293293293294293294294294294294294294294294294294294294293293293293293292291292291291291290290290290290290290290290290290290289289289289289289289289289289289288288288289289289289290289290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308308306307306306306306306307306306305306306306307306306307307306304999999999999999999999999302303303302301301301301301302302302301299300300301300300300299299300301302302302302302301301300300299298299298296296296295296296297296296296296296296296296294294292293292293292294294294294294293295294293293291291291293292295294293292293293291291290291290287291291291291292294293294294295294292293292290292289292294295294292293291290290291291292294295296297297297297298297296295297296296297297296295294296297295295296296296295296297296298299299297298298298299299298298299299299298299299300299300300299299299299299300301303301302303304302303304304304304305304305306305306304304303304305306306305303305304304304304303305303305302301302302302302302303303301300301301302301302302302304305302301303304303303304304303304303302300303304301302303304305305305305305305304306304305305306305304306305304304305306307306305305307305305305305306305306308308308308308311310312311312312310309308310310309309310309310309310310313312312313312311311312312312312311310310311310310310309309308310309309309308308308309310310312312311311311309309311309310310310311312311313309311310309309310308309309308309311311312313313312312314314313311312312312312312311311311310310310310309309308307308307307308306306306307308305305305305305305302302302301302301301301303302301303303304304304305303303303302304304304304304302302303303302302302299300301301301301301301301301301300300301301301302301302302303303303303304303302304305304305304305304303303304305305304304304303302302303304304304303302302303305301302302302303302302303303304304304304304304304304304304304304304303303303303304304303303303303302303302302302302301302302302301301302301301302302301301301300300300300300300300300299300300299299299299300300300300299298298297297298298299299298298297298297297297297297297297297297297296297296297297297298297296296296296296296297297297297298298298297298297297297297297297296296295295295295295294294294294294294294293293293293293293294294293293294294294294294294294294294294294294293293293293292292292291291291290290290290290290290290290290290290290289290289289289289289289289289288288289289289289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999308307308308307307306306306306306306307307306306306307306307307307307306304999999999999999301302304304304302300300300300300300301301300299299300300300300300301301301302303303302301302302302302300301300300300299298296296296297298297296297296297297297296295295294293292293293294294295294293294294294294293293292292291292295294295294292294294292290290291289289287290291291295294294295294294293294293292293292291292295297295293292291290289290291292295295296296296296297297297297297298298298297297296296295296298297296296296296296297297298297297298298298298298299299299299299299299299299299301300299299301299300300300300302302302301302303303303302304304305303304305304305304304305305305306307306305305305305304304305305303303304302302302301300300301303301301301301301301301302301302305302302303304304303304304303304302303303302303305303304302304306304305305305304305304305304306306305305307304305306305306307306305305305305306304304304305307306307308309310310311312313313313310310311309309308310310309309309309311311312311312314312312312313312312311309311310309310309309309309309309309310310308309310310313312311311311311311310311311311311311311312311311311310310310309309309309310308310311312311312312312313313313312311312312313312312312312311311311311310309309309308307307307307306306305306304306303303306306302301302300301302302302302301301302303304304304305304304303303303304303305304303304303302301304303304302301302302302302302300301303302301300301301301301302301303304303303303304304302302302303304304305304303304305306305305304304305305303303302304304304301302303302304302302302304303302302303304304304304305304304304304304304304304303303303303304304303303303303303303302302302302302302302302301302302301302302302301301301300300300300301301301300299299299299299300299299299300299299298298298298298299298299299298297298297297297297297297297297296296296297296297297297297298297296296296296296296296297296297297297297298298297297297297296296295295295295295294294294294294293293293293293292293293293293293293293294294294294294294294294294294293293293293293293292292292291291291291290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305306307307306310307308307306306306307307306305306306306306306306307307307306305305999999999999999301302303302301302300298298298299300300300300300299299300300300301301302303303303303303303303303302302301302302301301299298297296297298298297296297296297297296295295295293293293293293293293293292292292292295295293295294292291291295295295294294294294293292292292291290289290290293292293294293293293292292293294293293291292295296295294293290290289288290293295295296296297295298296296296296295298298297295296297297297298298298296296297297297297298297298298297298297298299299299298298298298298298299299299299300299298300299300300301304303301302303303303302305305306304305303304306306304304304304304305305306306305307304306305304305304306303303303303301302303304303301302301306306302302303304305303303304303304304304304303306306305303303305305304304303303305303304305304304305305304305307305305303303306305306305306306307305306306306305304306305307307307308309309309310312312313312312310310309311309310309308308308308308310310311312313314313311313313312312311310310310310310309309308309309310310310309309310310310312311312312312311311312313313312311311311311311310310309309309309309308309309309310311312312313314314313314314313312312312312311312311312313312311311310309309308307307308307306306305308303303305306305304302303302302300300300302303302300301302303304305305305304305305303303303303302304304304304302301303304302302301301300301301300301302302302300299300300302301303303303303304305304302304303304303303304304305304303304303304304306303302304305305305305304304304303302303303304303303302304303303303303303304304304304305305305305305305305304303303304304304303303303303302303302302302302302302302301301302302301301301302302301301301300300300300300300300299299298299299299299299299300300299299298298298299298298299299298297297297297297297297296296296296296296296296296296297297297297296297297297296295296296296296296297297297297297297297297297296296295295295295295295294294294294294293293293293293293293293293293293294294294294294294294294294294294294293293293293293293293292292291291291290290290290290290290290290290290290290290290289289289289289289289288289288289289289288289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303307308307306306306308308308306306306307306306305305304305305306306307307308307306306306305999999999999999999305303302301299297297297299301300300299299299300301302302302303303303303302303303303303303303301300301302302301300298298297298298298297297297296297297296295295294294294292291291292292291291293296292294294293293294292292292293294295295293292292293292292291291288289290291291294294293293293293293293293295294292290292295296295294294290289289289289290294296297295296297297296296297297298298297298297298299297298298297296296296297298298298298296297298298298298299298299298298297296298298298298298299299300300299301300300300301302302302301302304304303304304303303304302304305303303303304304305306307306306307306306306307304306305304303303305303305302300304304302304302304302306307305305303306305305303303302305304303305302302303305305304303304303303304303304304304305304306305306306305305303304306305305305305305305306306307306306306306307308308309309309308309310312311315310312312312311312310310309308308308307308311309311312313312313311310311313311311312310311311309309310309309310311311309309310310310311310312311312312312311311313312311311310310311310310309309309308308308308309309309310310311311312313314313312313313311312311310311312311312312312310309309309309309308306306307307309307308304307303303302302302302302301301300301302300302301301301304305304305304304304304303302303303302304303303304302300301300301300302301299301302300300301301302301300299300300301301303303303304304303302303303303304305304303304305305303303302304303304305304305303304304302303301302303304304303303304304304304303303303304304305305305305305305305305305304304304304304304304303302302303303303302302302302302302302302302301301301301301302302302301301301300300300300299299298299299299299299298298298299299299298298298298297298298299298297297297297297297297296296296296296296296296296296297297297297297296297297297296296296296296296296297297297297297297297297297296295295295295295295295295294294294294293293293293293293293293293293293294294294294294294294294294294294293293293293293293292292292292291291291291290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304306308307307308308307307306306306306305306305305305304305305305306306307307307308308307305999999999999999300307305302301299297296297299300299299298298300301302302303303304303303302302302302303302302301300299301301300300299299299299299299299298297297297296297296295295295294293292293292292292292292293295295294293293293291292292292293292292293292292293293293292291292291290291291292291291291292293293293293294294293293292293294295295295293292289287289289291294295295296296298298297296297297297297299297299299299299299297296296297297296298295296296296297297299298299300299300299299297297298299299298299300299300300300300300300300302302303303302304306306304304306303303303303303302303304304304305305307307306306306305307307307305305304303304303302304303301302299302301303304305306307305305305307304305307305306306303304304303301303303304304303304306308305304304303304305305306308306306305305305305305306306305305305306306305306306306307306307309309309309310311309310311311311313312312312312311313312308308307308308309310309312312314313312311313311312311310311310311310310309309310310310312312312311311311310311310311311312312312313312311311311311310311311311311310309309308308308309309309308309310309310310310313314311313312312312312311311311311312311312310310308307308308309308308308307307307305306303302302302302302302301301301302302300301300302301301302303301303305304303304305305304303304304303303303303303301300300301301301302299302301299300301301302301300300300300300302303303303303305305304303304303306305304304303304304303303303304304305305304304303304304301302303304304303304305306304303304304304304304304304304305305305304304305305305304304304304304303303302302302302302302302301302302301302302301301301301301301302302302302301301301300300300299299299299299300299299299298299299299299299299299298298298298298299298297297296297297298298296296296296296296296296296296297297297296297296296297296296296296297297297297297297297297297297297297296296295295295295295295295295294294294294294294293293293293293293293293294294294294294294294295294294294293293293293293293293292292292292292291291291291290290290290290290290290290290290290290289289289289289288288288288289288288288289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308306306306306307308307307305305305305305305305305305305305305306306306306307308308309308307306999999999999999999999304301298297295296297298299298298299298301302303303303303303303302303302302302302301300298298299299299299299299299300299299299298299298297298297296296296295295295294294293294294293294294294294294294294292294293292292292291291291291290292294293293293292292292292291292291291291291292293293292292292294294292291292293294294293293293293291290290290291294295297297297297297296296297296296296297297298300299298298297295297296297296294294295295297297297297298298299299300300299297297298299300300299299299299299300300301300301302301303303304304304305302303304304303302304304305305305305305306306307306305306306306306304306307305305304303303305304299302302302301305307305306303303307304305305305305306307305304303305301303303303303304304303304304306304303304305305306308308309308307307305305305306305305305307307308306306305307306307308309309309309310311310312312311313313311313311310312312309306307307308311309313314311311314313311312312314311311312312311310310310310311312310311311312311311311313311310311310311312312312312312311311311311311310310311311311309309309308309309309309308310310309311310311312311312311313313312312310310309311311312311310310309308307308309309307307306306306306304303301301302302302302301301302301300301300300301300302301303303303305304305304305305304304304304302303302303303302302301301302302302300300300298298299300300301298299299300302301302301304304304304304304302304306304303304304304303303303303304305304305303302303305304305303303304304304303304304305305304304304304304304304305305305305304305305305305304305304304303303303303302302302302302301301301301301302301301301301301301301301302302301301301301301301300300299300299299299299300300299299299299298299299298298297298298298299298298297297297297298298298297297297297297297297297296297297296297296296295296296296296296297297297297297297297297298297297297296296296296296296295295295295295295295295294294294293294294294294294293293294294294294294294294294293293293293293293293293292292292292292291291291291290290290290290290290290290290290290290290289289289289288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307305306307307307307306305305305305305305304305305305306305306306306306307307308309308308306306303999999999999999300298295295294295296297297297298299300301302303303304303303303303303302301301301300299298299299299299299300299299300299298299299299299298299297297297296295295295294295295294295296295295295294294294294295295294294293293291292291290291292291293292293292292292293292291292290291291290293294293292293293294293292293294295293293292293294293290290288290293295296296296296296296296296296296296297298298298298298297298297296295295292293293295295296297297298299298299299299298299298297298299299299299300300300300300299301301299302302302305304303303303301303303303302301303303305306305304304306305305307306307307305305304305306305305303304306302304303303301299302302305303305304305306306307305306304306303303304304302303304305303304304303303304305306303302305304305305304307307306304305306305305305306306306307306307306307306307307308308307308308308309310310311311311311310312311312312313311311308307308310311310309307308311312310311309310313312311311312310310311311311311311311310312312312311311310311311311311311311312312312311312312312312311311310310310311310309310310309309309309308309309310311311311311311312312312313312311311309308310310310310310310309309308308309308306305307306305305306304302302302302302302301302300300301302303300300301301302303303303303305304304304303304304304304304303303302302302302302301303303301301300300298298300302302301300300302301302302302301303304304304304304303304306305304304304304303303303303303304304304304303303302304303303303304302304304304304303304305305305304305304305305305305305304305305305305305305304304303303303303302302301302302302301301301301301301301302301301301302302302302302302301301301301300300300300300299299299300299299299299298298298298298298297297298299299297298298297297298298298298297298297297297297297297297297297297296296296296296296296296297296297296297297297297297298297297296296296296296296295295295295295295295295295294294294294293294294294293294294293294294294294294294294293293292292292292292292292292292292291291291291291291290290290290290290290290290290290290290290290289289288288288288288288288288288288288288288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307307307307306306306308306305304305305306305306306306306306306307306306306307307308308309308307306999999999999999297297296295291291294296296296297298299301301302302303303303303303303302301301300300299299299300300300299299299299300300299300300300299300299298298297298297296295296295295295296296296296295295296295295295295295296295294293292291291290291291291289292293292293293293292292291293292293292293294294293294294295294293292293295293294293293292293292289289292293295297297297295297298296296297297297297297299298297296297298295294295293293293294295295296297297298298299299299299298298298296298298299298299300300301301300301302302302303304303302302302303304302303303303303303303304305304304303304306305304306308309308306307306306305304303306306306304303302301302300301305305305306303305304305305305304304304304303305305303303303304304304303303304305306306305305305305306304304307308302304303304304304304305305306306305304306308307307307308308307307308308310309308309310311311310312310312313313311308309310311310310309310308309310310310310308310310310309310310311309309310312311309310311311312311311311310311312314312312313312313312311312312312311311311311310311309310310311311311310310309309310309309309310311312312312312311312311311310309308308309309309309310309308308308308307306304304306305306308305302301304303300302299301301300301302303299300300302302301302303303306305304304304304304303303303302303303302303303302301302302302302300299299301302303302301300300301302301301302302303303303303302303303304305304303304303304304302306304305306304304304303303304303304304302303304302303303305303304304305305305305305305305305305304305305306305305305304304304304304303303302301302302302302302301301301301301301301301301302302303302302302302302301301301301301300300300299299299299299300299299299299298298299298298298299299299297298298298298298298298298298298297297297297296297297297296297296296296296296296296296296296296297297297297297297297297296296296296296296296295295295295295295295295295295294294294293293294294294294294293294294294294294294293293292292292292292292292292291292292292292291291291291291291291290290290290290290290290290290290290289289289289289288289288289288288288288288289289288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306307307307306307307307306305304304305306306307307306307307307307307306306307307309309309308307306305304999300299298297296293289290293295295295297299301302303303303303303303303302302301300300299299299299299300300300300299299299299299299299299299300298298298297297298296296296295296295296296296296295296295295295295295295294294294294292292291291291292292292292292293292293293294292293292295293295293293294293294294294294294294293294292292293292293293292294292293295294295296296295297298297299298298297298297296298298298297296296294293294294294293296296296296296297298299299300299299298298297296297298298300300301300300300301300300302301303304305303304303303306303303302302303302303305304304305303302304307304305308307307307308306307305306305310307304304301301302299301308305305306305306305306307306307307305304304305304305305304303304303303304304304305304305304305305305305304306307306306304303304303303303304305305303305304305307306307307308309308308308308309310310309310311311310311310312311312314313309309311311311311311310311312312310311310309310311311310309309309310309312310309310311311311310312312312311311313313312312313312313312312312311311311311311310312311310310310311311310310310310310310310309310311311312313312311312311311309309307308309308310309308309307307308308308306306305305305304305303304302303303301300300299297301300301301301301301300301302303305304304303303303303303303303304304303302303303303304302302303302301302299300299302302302301301300301301299301301301303303303303303302303303304304304303303303303304305305304304304304303303304304303303305304304303305304305303304305305305305305305305305306306306305304305306306306305304304304304304304304303302302302302302302302301301301301301301301302302301302302303303302302302302301301301300300300300299299299299299299299299298298298298298298298298298299298298298298298298298298298298298298297297297297297297297297296296296296296296296296295296296296296296297296297297297297297296296296296296296295295295295295295295295295295295295294294294294294294294294294294294294294294294294293293292292292293293292292292292292292292292292291291291291291291291291291291291291290290291290290290290289289289289288288288288287288287288288288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305306306306306306307308308307307306305304306307307308308308307307307307307307305307307309309309308308306305304302301300299299296290290291292293294295297300301301303303303303303303302301301300299300300299299299299299299300300299299299300299298298299299299298298297298297297297296296296295296296296296296295295296295294294295294294294293294293292292292291292292291292292292292293291293293293294294293293294292294295293294294294292292291290293293294294295294293294294293295295295296296297297297298298298299298298299299299299295296297296294294294295296296296296297297298299298298298299300297298298296297298299300300300301301299301301299300303302302303302302304303305305301302304303303304306304303303302303303305307306305309309307307309306306305307304305303304304301303301304302301304307307307307307307307306307309306305304305304303305304303304303304303304304306304304305306306305305305305304304304303303303303304304303304303304305305306307307307307306307306307308308308309310310310311312311313312312314314314310310310311311312312311310312311312311310310309311312311311309311309310310311311310311311311311311313312311312313313313313311313311312312312312312311310311312311312311310311311311311310311311311311310311311311311312313314313311312311311311310309308308308309309308308307308309308307306306306303304303305304302302303304303299302300297301301300300302301301301301302303305304303303303303302303304304304305304304303304304303303303302303302302302300302302303303302301301300301301300300302302304302303302302302303302304304305305304304305306306304305304305303304306304306304304305303305305304305305305305305305305305305306305306305305305304305304305305305304304304304304304303303302302302302302302302302301301301301301301302302302302303303303302302302302301301301301301300300300299299299299299299298298298298298298298298298299299299299299299299299298298298299299298298297297298297297297296296296296296296296295296295296296296297297297297297297297297297297296296296296296296296295295295295295295295296295295295295294294294294294295295295295294294294293293293293293292292293293292292292292291292292292291291291291291291290290291291291290290290290290290290290290289289289288288288288288287287288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305306305305305306308309308307306306306306307307308309308307308307307307308306306307307308308308307307306305304303301299301302999292290290291292293296299301302302303303303303303302302302301300300300300300299299299299299299299300300300300299298299299299299298298298298298297297296297296296296296297297297296295295295295295295294294293292293292292292292291291291290292292292292292290290290293293293293293291290292293294293293293292292291292292292292293292294293294293294294294295295297295296297298298298299298299300301300300295295296295295296296294296296296297297298297297296298298297298298298297296296297298300300302302302298300300300300301302303301303303304304304303303304303303304305304301300303303302304304309308306309306308307308309306304303305308305306306307306304303310307308309309308308308306308307307306306305304306304305305304304303303305304304304305303305304305304304304305306307305306303303303304304303304304302305305304306308308308307308307307306307307309310308309311311312312311313312313313311311312311312313312312312310310312310310310310311312312313311310310311311310311310310311312310311312313313313312312312312312313313312313312312312312311311312311311311311311311311311311312311311311311311311310311312312313313313312312312312312311310310310310310309310309309309309308307306305305305304303306304303301304303303302303302300300298300301302301302302301302303303303304303303303303303304304304304304304304304305304304303304303302301301300302303301300302301302302301302301301301302303302303302301303303304304303304305304304304305305305305305304303304304304305305304304304304304304304304304304304305305305305305305306305305305304305305305305305304304304304304304303303303302302302302302302302301301301301301301303303303303303303303302302302302302302302301300301301300300299299299299298298298298298298298298298298298299299299299299299299299299298299299298298298298297297297297297297297297297297296296296296296297297297297297297297297297297297297297296296296296296296295295295295295295295295295295295295294294294295295294294294294294294294293293293293293292293292292292292292291291292291291291291291291291291291291291291291291291291290290290290290290290289289289288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306305304303304305305305308308308308307307307308307307308309309308309307307307308308306306307306307307308999999999305999999999999999999999999999288290292293297299301302302303302303302302302301301300300300300300299299299299299299299299300300300300300299299299299300299298298298298298296297297297296296296296297297296296296295296295295294294293292292292292292290293292292293293291292293293292292291290292294294292291291291294293294294294293292292291291291292293293294294293295294296296296295295294295297297299298298299298300300300295295295296295295297296296296295296296298297296296297301297298298297298295297296297298300301300300300299300300299300302302302303303303303300303303302301302303303303304300301301301303304307310310308307303307305306306311305304307307306306307307307304307309307308308308307307306306307308308307306305305307304305304303303304304303304304304303303303304304305304304306306307307304303303303302302302303302304304305306307307307308307307306306306307308308309309309311311310309312312312312310311311311312311311313312312310311310309312311310313313313312311310310311310310311310311311310312312313313313313313312312311312312313313311312311311312310311311311311311311311311311311312312311311311311312311311311312313313313312313312311312312311310311310310310309308309310309309308307305304305305304305304303302301303303304302303301300300301300301302301301301301302302303302303303302302303303303303302303303303304304304304303303303301300300300299300300299301300300300300301301300302301302302302302302303303303304304304304304304304304305305305305304303304304304304304304304305305304304304305304304304304305305305305305306306305305305305305305305305305304304304304304304304303303303303303303303303303302301301301301302302302303303303304303302303303303303303302302301301301300300299299298298298299298298298299299299299298298299299300300300299299299299299298298298298298298297297297297297297297297297296296296296296297297297297297297297297297297297297297297296296296296296296295295295296296295295295295295295295294294294294294294294295294294294294294293293293293293293293292292292292291291291291291291291291291291291291291291291291291291290290290290290290290289289289289288288288288288288288287288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303306306304303304304305306306307307307307307307307308307308308307309309308307307307308308307306307999999306999999999999999999999999999999999999999999999290293295299301302301302302302303302301301301301300300300300301300300299300299299299299299299300300300300299299299300299299299298298298298298298297297297296296297296295295295295295293293294293294293293292293294293293293291293293292292293292292291291292292291291290290291292290293295295296293293293292291291292292293295296295296298298297297296295297297298298298299296300298298299296295296296295296297297297297297297297298298296296297297299297297298297297297297297297297299299300300300301300298299299302303303304303302302304303302302302302302303300301301301302303307310308304306305305305303306307310308311304308308306310309306306306306307306306307307306308306308306307308307306306305304305305305304305304305304304304305306306304305304305304305306306304304304302303302303302303303303303304305306307307308308306306306306307307307310310309309309310311311311312312310311311311313313312313313311312311311309311311311311312312311311311310310311310310310311311311310312310313312313312313312312312311312312311312312312312312311311312311313312311312311311311312312313312312312312312311312312312312311312313312311312311312311311310310310309308309310308308308307305304303303303305303303301302301303303302301301300299300301301302302301302301301302302302302302302303302302302303303303303303304304304303303302301299299300300300300300299300299300301300300300300300301302302302302303303304303304304304304304304304305305305305305305304304304305305305305305305305305304304304304305305305306306305306306306306305305305306306306306305305305305305305305304304304303304304304304304303303303302302301301302302303303303304303303303303303303303303303302301301301299300300298298298298298298298299299299299298298298298299300300299300299299299299298299298298298298298298297297297297297297297297296296296297297297297297298298298298298298298297297297297296296296296296296296296296296296296295295295295295294294294294294294294294294294294294294293293293293293292292292292292291291291291291291291291291291291291291291291291291291291290290290290290290290289289289289289289288288288288288288287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306305304304305306306306307307307307307306306307307306307309307307308307306307307309308307306307999999999999999999999999999999999999999999999999999999291294297300302302302302302302302301300301301300300301300300301301300300300299299299299300300300300301300300299300300300299299298299299298298298297297297296296296295295294294294294293292293293293294294293293293294291293291292293293292293292291290291292292292291290290292291292293294295296296295293293291292292295295294297295297299298297297296297299299299300298296297295296296297296297297298298298298297296299297298300300297298297297297298300300301299298297297297298299300299299299301301300299300302303304303304303303304302303303302301302302301301302303303303303307308305305306303304306307309309308309305305306307305307308307307306307306306306307310308307306308306307308307307307308305305305305305306303304304305306306307306303304303305304305306305304304304303303303302303303302303303305305306307306307307307306306307307307312311310309308308310311311312311312313310310312313313312312311312311311311311311311312310312312312311311311310310312311312311311311310310310311312312312311313312313311311311313312311312312312312311311311312312312312311311312313312313312312313311312311311312312312311312311311312312312312313312312311310310308308308308307306306305305304303304304303303304303303304304304303303300300301301302302303303303301301301302302302302302303303303303303303304304303304305304305304302302302300301301303300301300300301300303301301301302300302303302302303304304304303304303304304304305304305306306306306305305305305306306305305305305305305305305305305305306306306306306306306306306305305306306307306306306305305305305305305305305304304304304304303304304303303302302302303303303303304304304304304303304303303303303303302301300301300300299298298298298299299299299300299299299299299299300300300300300300300299299299299299298298298298298298297297297297297297297296297297297297297298297298298298298298297297297297297296296296296296296296296296296296296296295295295295294294294294294294294294294294294294294294293293293293293292292292292291291291292291291291291291291291291291291291291291290291291290290290290290290290289289289289289289288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305307306304303305305307307307307306307308306306306306306306308308307307307307307307308308308307307308999999999999999999999999999999999999999999999999999999293296299301302302302302302301300301301301301301301300300300302301300300300299299300300299300300300300300300300301300300300298299299299298298298297297297296297295295295294293293293293293293294294294294294294293292292291291292292292292293292290291291291292291290291292292292292292294295293294294294293293294294293293296297297297297297297297297298299298298299297296296296297296295295297296298297297298298297298298299301301300299297299297298299299299299299300299298300302301301302302298301301301302304304304304303303302302302302303302300301301300301301303305306303304304305305304306305307308309311309308306306307306312311306306305305307306308308309308306307307307306308311308308308307305305306306305305307305305305305308306306304306304304306306306304304304304303304303303303303302302304306307306306307307307307307307307307308310310310309308311311311312311312312313311310312314313312312312313312312313313312312312313313312312312312312311311310310312311311311310310310311312313312312312310311311312312313312312312312312311311311312312312312312312312313312312312312311312312311311311312312312312311312311310312312312312312312311310310308308307307307307306304304304304305304305303304305304304304305306304302301301302303303303303304302302302303303303303303303303303303303303304304303304304303302303302303302301301302303303302301302301301302302302302302302303303303303303302303303303305303303304304304304305306305306306306305305306306305306305305305305305306305305305306306306306306306306306307306306306306306307306306305305306305305305305305305304304304304304304304304303303303303304304304304304304304304305304304304304303303303303302301300301300300300299298299299299299299299300299299299299299299300300300300300300299299298298298298298298298298297297297297297297297296296297297297297297297297298298298298298298297297297297297296296296296296296296296296296296296296296295295295295294294294294294294294294294294294294294294293293293293293292292292292291291291291291291291291291291291291291291291291291291291291290290290290290290290290289289289289289288288288288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306306304304304307308308307306308307307307307306305306306307308307307308307307308307308308308999999999999999999999999999999999999999999999999999999999294296298301302303303302302302300300300300301300301301300301300300301300300300300300300300300301300300301300300300300300301300300299299299298298298298297296296296295294295295294293293293293293293294294294293293293293292292292292291292292292292290291290291291291291291291292292292292293294294293294292293293293293293292296298299297294299297297298298298299298298299296297299298298297297297296297298298298299298299298299300300299299297297297298299300299299299299298299299301302301301301301301300298302303302303302302304304302301302301301302300299302301303304303309305307305305304305306305305306310308307305305306308307312306305304307306306309306308306308307306306306307310307308308308308306306306306305306306305305305304307305305303305304304307306302304303303303303303302302302303303305306306307306306307307307307307307307307309309309310309308311311311312312312311311311310312313313312312312313311312313312311312312313314313312311312312312312311311311310311311310311310312313313311310310310311311312312311312312311310311311311311311312312312312311312312312312311311312312312311311312311311310312311311311311312312311311313312311310309308307306306306306305304304304305305305305305305305307306307305307306302302301302302303303304303303302302303303303303303303302302302303303303302303303302303302302302302301301302302302303303302301302301302302302301301303303303303303303303303303303303304303304304304305305306306306306306306306306306306306306306306306306305305306306306306306306306306306306307307306306306307307306306305306306306306305305305305305305304305304304304304304304304305305305305304304304305305305305304304304303303303303302302301301301300300299299299299299299298299299299299299299299299299299299300300300299299298298298298298298298298297297297297296296296296296297297297297297297297298298298298298298298297297297297296296296296296296296296296296296296296296296295295295295294294294294294294294294294294294294294294294293293293292292292292292292292292291291291291291291291291291291291291291291291291291291290290290290290289289289289289289289288288288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305306305305304307307307308307307306307307307306305304305306306306306306306306306305307307999999999999999999999999999999999999999999999999999999999294297299301302303303303303302302301300300301301301301300300300301300300299299300300300300300301301300300301301301301300300300301300299299299299298299298298297296296294294294295294294294293293292293293293293294293292293292292292292292292292291291290290290289291291291291290292292291292291291292294292293293293293292292291295296298299300299298297297297298298298298297298297298298298297299298299298299299297297298298299300299300299300296298297298299298299299299299301300301302302302301300301301303301301302303304303303302304303302302302302301301302303302303304303308306306306307305306306304305308310310310305306307308312311306305306306306307308308310310306305306306306306308306308308308306307307306306306305306304305305307306304305305304304304306305307303303303303302302302302302303304306306305306306306307307307307307307307307308309309308309309310311310311312311310311311311312312312312312312311312312313312312312312313312313312312312311311311310311311311311311311311310312311311311310310311311311310311310311310311310311310310311311312312311311311311311311311311311312313312311312312311311311311310310311311311311311313313312310309309308307306305306305305305304304306307305304304304305305305307307305303303302302302304303304304304305304304304304304304303303302302302303303303303303303302303302302302303302302302303302303303303302302302302301301301302303303303303302303304303303303303304304304304305305306306305306306306307307306306306306306306306306306306306306306306306306306306305306306307307307306307307306306305305305306306306306305306305305305304305305304305304304304305305305305305305304304305305305305305304304303303303303303303302302301301300300299299300300299300299299299299300300299299299299299299299299299299298298298298298298298297297297296296296296296296297297297297297297298298298298298298298298298298297297297297296297296296296296296296297297296296296296295295295295294294294294294294294294294294294294294294294294293293292292292292292292292292291291291291291291291291291291291291291291291291290290290290290290289289289289289289289289289289288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304304304305305306307308309308307307307308307306305305304305305306305304303302304305999999999999999999999999999999999999999999999999999999999999296297299301302302303303303303302301301300301301301301300301301300300300300300300300300300300300301301301301301301302301300301301301301300300299299299299298297297297295295294294294294294294293293292293293294293293293292292291291290290291291291292291290291291290290291292291292292291293293292293294293293292293293293292290999295298299298299298300299298297297299298298298297298298299298298297298298299299298298298297299298298299299299297295297297297297297298299299301300300302300301300300300301301301302302302302303302303303305304304302304304302302304302303303302305305304305304306307306305305307307308308310307306306308306306307306306306306307308308308305304305305306305306306306307306308307308308307306305306305305305306306306305305304303305306306306304304304304304303302302303303303305306305306306306306307307307308307307308307308310310309308309311311312312312311311311311312313312311311311311311311312314314312312314313313313313313313312312312310311311310310310310310311311311311310310310311310310310310312311311311311311310311311312312312312312312312312312312311311313313312312311310311310311311310311311311311311312313311311310309309307307307306306306305305304304304305305305305304304305304305305305303302302303303304302303304305305304304304303303303303303302302302302302303303303303303303303303303303303303303303303303302302303302301301301301301302303303303303303304304304303303304304304304305305305306306306306307307306307307306306306306306306306305306306306306306306306306306306306306306307306307307307307306306306306306306306306306306306305305305305305305305305305305305305305305305305305304305305305305304304304304303303303303303303302301300300300300300300300300300299299300300300300300299299299299299299299299299299298298298298298298297297297297296296297297297297297297297297297298298298298298298298298298298298298298297296297297296297296296296296297296296296296295295295295294294294294294294294294294294294294294294294294293293292292292292292291291291291291291291291291291291291291291291291291291290290290290290290290289289289289289289289289289288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303304305306305306307308308309308308309307307306306305304305305305303301300300303999999999999999999999999999999999999999999999999999999999999295297299300301302302302302302303302301301300301301301300298301300300300300300300300300300300300300301301301301301300301301300301301301301300300299299299299298298298296296295295294294294294293294293292293293293293293293293292291291291290291291292293291292292291290291291291291291292291292292293292294293294293293294293292292293295296299301299298300299298299297298298298296299299299298299297298298299299298300298299298299299302300300300296295297296296296297297297299301302302301300299299299300299301300301301302302302301305305304303302302303302303302303303303305306304305305304304305305305306306307307307309306306305306307306307306306305306306308308307304304304304305305305306307307307307307307308308307306306305305305305308306304305304304303305305306304304304304304304302302302303304305305305305306306306307307307308307307308308308308309311310308310311312313313312312312311311312312311310310311311310310312313312312312314313313312313314312312312312310310310311311310309310310311310310311310310310308310310310310310310310311311311311311311312311312311312312311311311310310312312312311309309309310310310311310311311311311311310310311310310309307306306307307306305305305305304306306304305305304305304307303303302302303303303304304303304304304303302303303302303304304303302302302302303304304303303304303303303303303303303303303303303301301301302301302301301301303303304304304304305305305303304304305304305305306306307307307307307307307307307306307306306307307306306306306306306306306306306306306306307306307307307307307306306306306306306306306306306306305305305305305306306306305306306306305305305305305305305305305305304304304304303303303304303303302301301301301300300301300301301300299300300300300300299299299299300299299299299299299299298298298297297297297297297296297297296297297297297297297298297298298298298298298298298298298298298297297297297297297297296297296296296296296295295295295294294294294293294294293293293294294294294293293293293292292292292291291291291291291290290290290291291291291291291291290290290290290290289289289289289289289289288288288288288288289289288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302301303304305306307308308309307308308307307306306305305304304304304301298297299303302999999999999999999999999999999999999999999999999999999999296299300300301302302302303302303302300301302301300299300300300300300300300300299300300300300300300300301301300301300300300300301301300300299300299299299299298298298297296295294295294294293293292293293292292293293293293292292291291292292291292292292292291291292291291292291291291291292292293295295294293293294294295293291293294296295297298297299298299299299297301297296298299299300298297298295299300300301302301301300300303301300300299298296297297297297298298299300299300300300300299300300300301300298300300300302304304306304301302302303303303303305303303303302302304306307303303305307305304305306307305309305306307307307306303305306306306305306306306304304304304305304304306307306306307308308308308307306306306305305306307305305303304304305305302303304304303304303303303302302304304305305305306305307307307307308308307308308308309308309310310309310311312312314313312312311312312310311310310310311314313311314311312311311314313312312312311313311311310310310311311311310309308310310311310309308309309310310312311310310310310310311311310311311311311312312312311311311310311310312311311310309310309310310310310311311311312311309309310311310309308307307307306307306306306305304304304306305304304304305306304303302303303304303302303303305305304303303304303302304305305304303303303303304304304304304303304304304303303304303302303302302303302301302301302302301302302303303303304304305305305304305305304305305305306307307307307307307307307307307307307307307307307307306307307307306306306306306306307307306307307307307307307307306306306306306306306306306306305306306306306306306306307306306306306306306306306305305305305305305304304304304304304303303302302303302302301301301301301301301300300300300300300299299299299299300300299299299299299299298298298298297297297297297297297297297297297297296297297298297297298298298297297298298297298298298298297297297297297297297296296296295296295295295295294294294293293293293293293293293293293293293293293292292292292291291291291291291291291291291291291291291291291291291291291291291291290290290290290289289289289289289289289289289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301302303305307307308309308309308308307308308307307306306305305304304301296294298302999999999999999999999999999999999999999999999999999999999292295298299300301301301301302302302302301301301300300299300300299300300300300300300299299300300300300300300301301300300300300301301301300299299300299299299298298298298297297296295294294294293293293293292293292293293292292292292291291292290290291291291292292293291291290291291291291292292292294294295295294293293293294292291295294295295296295295299300300300299297298298296298298303299299301300300300300300302303302303302303304299303304300299298299298297297297299301300298301300300298298300300299300300299299300301303304303305303304303303303303303305303303303301302303304304306305305304305307303304304305305305303303307307306304303305305304305305306306305304304304303304304305307306307307308307309308307306307307305305305305306304304304304306303304304303304304303304304304303302303304304305305305305306307307307308308308308308308308309308309310310310310311312313313313312312312313311310312312311310311313313311312311315314312312312312312312311311311310310311310310311309309308309309309311311309308308310311311311310310310310310310310311310310311311311310311312311311310310310310311310310310309310310309310310311311311311312311310310310310309308308308307307307307306307306306306305306305306305305305305307305304303304304304303302305304304304303304303304304304304305304305304303303303305304304304304304304304304304304303303303303302302302301302302302302302302302303304303304303304305305305305305306305306306306306306307307307307307307308308308307308307308308307307307307307307307307306306306306306306307307307307307307307306306307306306307306306306305306305306306306306306306306307307307307306306306306306305305305305305305305304304304304304303303303302302302302301301301301301301300300300300299299300300300299299299299300299299299299300299298299298298298298297297297297297296297297296296296296296297297296297297297297297297297297297297297297297297296296296296296295296295296296296295295294295295294294294294294293293294293293293293293293293293293292292292292291291291291291291291291291291291291291292291291291291291291291290290290290289290289289289289289289289289289289289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301303304304306307307308308309308308308307309308307307306306305305305304303298294296302301999999999999999999999999999999999999999999999999999999292297298299300300301301302301301302301300300300300300300300300300300300300300300300300301300300300300300300300300300300300300300300300300299299300300298298298298298297297297296295296296294293294293292293293293293293293293293292292292292291291290291292292293293292291291291291291291291292293294294295295296294294293294293294294294295295296296999300301300301300298298298297299299300298300301300300301303302302302300304303303305304301295296296298296296297298299299298298297300297300299298301302301299301300300301302303304303304304303303304302303301302303303302302303304305305305305305305304305303303304305304304306304304305305304303304304304305304305301306302302303304304303304306307308308307308309308306306305306306306305307305305304306307303304304304304305304304304304304303304304304306306305306306306307308308308308309308309309309309310310311309311310311312312313314313313313312312312312312313311313313312311311311312315314312312311311313312311312310310311310310309309309309309309310311311311310311311311311311311311310311310310311310310311311311311311311311310311311312312311312311312312311310310310310310310310311311311311310312311311309309308307307308308308308307308306307306307306306307306307306306306305304305306306304304304306304304304304304304304304305305305306304305304303304303304304304304303304304304304303302303303302301302302302302301302301302302303304304304304304305305304305305305305305305306306306307307307308307307307307307307308308308308307307307307307307307306306306306306306306306307307307307306306306306306306306306306306305305306306306306307306306306306307307307307307306306306306306305305305305305305305305304304304303302302302302302302301301301301301301301300299299299299299299299299299298299299299298299299299299299298298298298298297297297297297296296297297297296296297297297297297297298297297297297297297297298298298297297297297297297297296296296296296296296295295295295294294294294294294293293293293293293293293293293292292292292292292291291291291291291291291291291291291291291291291291291291291290290290290289289289289289289289289289289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303304304306306308308308308308308308308309308308306306306305305305304303300296295301301999999999999999999999999999999999999999999999999999999294297298299299300300301302302302302301301301300299299300300300300300300300300301300300301301301300300300300300301301301300301300300300300299299300299299298298299298298298297297296296295295294293293293293294293292292292292292292291291291291289290292291292293292292292291292291290290290291292293293293294294294295294295295294295294295297297296299300301301302300299299296295298298299299301301302302303305303303302302304303303308305302296296302300298297298297297297298297299301300299299299300301300301302301301301302303303302303303303303301301301301302303302303303305306305305306303304304303303303304304304304303306306305303303302304304303304304304305305305302302303303304305308308309308308307307307307306306306304304307305305304304305304305305305303304303302304304303305304304304305304305306306306307307307308306308308309308309309309309308310309309311312311312312314314314313313312312312312313312312312311310311311311311313313313311313311313312311312310311310310310310308308309309308309309310312312309311311311310310310310310310311311311310310311311310310311310311311312310311311311311311312311310309310311310310309309311311311311311312310309308306307307306307307308307307307307307307307307306306306307307307306304304304305304304304305305304304304303303303304303304304305304305304304304304304304304303303304304304303303303303302301301302303303301302302302302303303304303304304304305305304304305304305305305306306306307307307307308308308308308308308308308308308308307307307307307307306306306306306306307307307307307306306306306306306306306306306305305306306306306306306306306306306306306306306306306306305305305305305305304305305304304304304303303302302302301301301301301301302300301301301300300299299299299300299299299299299299299299300300300299298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297298297297297297298297297297297297296296296296296295295295295294294294294294293293293293293293293293293293292292292292291291291291291291291291291291291291292291291291291291291291291291291291290289289289289289289289289289289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302302304304306308309309309308309309308309309307307306306305305305304303302298294299300999999999999999999999999999999999999999999999999999290294296296297299300299301302303302302302301302301301300300300300300300300300301301301300300301301301301301301301301301300301301300300300300299299299298298298298297298298297298297296296295295295295294294293294293293292293293293292293292292292291291291291292294293292293293291292291290291291292293292292293293293295294296297297296297298297297297298299299300301301299300302302298298300299301299301303304303303302301301301302303305309305295299301299298298300299299298299298299298298298299300299300300301301301300301301300302303303304305304303301302301302302301303304306305305304304304303303302303302305305304304303305306306303303303303303303303303304300301301301301302302303304307308308308308307307307307307305305305305304305305307304306305304305305303302304304305304304304304304303304305306305306306307307307307306308309308309309309309309308308310309309312311310313313316314313313313312313313313312312312312310311311312313313314313310311311311310310310310310310310311310309309309309309310309310311311311310311310310308309310310310310310310310310311311311310309309311312312311311312311311312312311311310310311310310308308310312310312312309309309308308307308308308307307308308308307307307307308307307306307307307306304304304304305303304305306304304303302303304303303304303304304305306305304304304304303304304304304304303303303303302301302302302303302302302302303302303304304303304304304305305305305304305305305305306306307307307307307307307307307308308308307307307307307307307306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306307307307306307307307307307307307306306306306306306306306305305305305305305304304303303303302302302302302302301301301301301301300300300299299300300300300299299299299300299299300300299299299298298298299298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296296296296295295294295295294294294293293293293293293293293293292292292292292291291291291291291291291291291292292291292291292291291291291291291291291291290290290289289289289289289289289289289289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302304304306307307310309309309310310310308308307307307306305305304304303300295296301999999999999999999999999999999999999999999999290290291293295296297299300301301302302302302302301302302301301301301300300300300300300301301300300301301300301301300300301300301301300301300300300300299298298298298298297298297298297297297297295296296296294294294294294293293293293293293294293292292292290294294296295291294291293292293291292292292292293292293294293294296296297297298298299298298298297297297298300301301299300299303302303302300298303303304302303303302303303303303304305310297300301301301302300300300298299299299298298299299298300300300301301302300300301301300300303302302302302302301301301302303304304304305304304303303304304301302303302307306303303304305306304303303301304305304304304304304304304300301302303303306306305307307306307307307305306305305304304303303306305306304305305304303303303303303304305304304302303303304305304305306306305306306306306306308308308307307308307307309309310310311310311312313314314313313313313313313312312311310312310310311311311312312311311310311310310310307311310311310311309308309309309309309308309310310311311310311309308310310310310310310309310310310310311311310310310311312310311312311311312311311311310311311310309308307308312310311309309309309308308307307309307308308307307307307307307307308307307306307306306304304304304303303304304304305303303303302303303302302302302302303303303303303303303303303303303302304303304303303303303302302303302302302303303303303303304304304304304305305305305305306305305305305306306306307307307307307307308308308308308308307308307308307307307307306306306306306306306306306306307307307306306306306306306306306306306306306306307307307307306307307307307307307307307307307306306306306306306306305306305305305305305304304303303303303303303302302302301301301301301301300300300300300300300300300300300300299300299300300299299299299299299298298298299299298298298298297297297297297298298298297297297297297297297297297297297297297297297297297297297296296296296296296295295295295295294294294294293293293293293293293293293292292292292292292291291291291291291291291291292292291291291291291291291291291291291290290290290289289289289289289289289289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302302304306308308309310310310310309308308307307307306306305304304304303296293296999999999999999999999999999999999999999999288289292294296297298298299300300302302302303302302302302302301301301301301300300301300300301300300300300300300300300300300301300300300300300300300299299298299298298298298298298297297297296297297296295296295295296295295296294294295295296295294293294293293292294295292292291292292291293292291293293294294293293294293293293999999999999298297298299298299298297298297298300300300301301303304304304304303304305304304303303302304304304305304304303301301300301301301300300300300301300299300301301301302302301301303302301301301301301301301304302302302300300301302302302304304304304305305303306308309308304303304306306304303305305305306305305304301306306305305304304304304304304305302304303303304304306308307308307307306307304304304304305307307305305306305304303303303303304303303304304303303303303303304304305305306305305306305306307308308307309308306307307307309310309310310312311313313313313313314313312311311310311311311310310310310310312311310309309310310311310311310310310309311309310308309308309309308308310309310311311310310309310310310311311310310310310310310311311311311310310310311311312312311312311311310312311311312310310309307308311309308309309309309309308309309308308309307307307308308308308308307307307307306305305304304304303305304304305305305304303303303303303302302303304303304305304303304303303303302303303304304304304304304304305305306306303302304304304304303304305303304305304305305305305305305305305306306306306307308307307307307308307308307308307308307307307307307306307306307306306306307306306306306307307307306306306306306306306306306306306306306307306306306306307307307307307307307307307306306306306306306306306306305305305305305305304304303303303303303303302302302302302302302301301300300300300300300300300300300300300299300300300300300299299299299299299299298298298298298298298298298297297298298298297297297297297297297297297297297297297297297297297297297296297297296296296296295295295295295294294294294294293293293293293293293292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291290290290290290289289289289289289289289289289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302303305307308309310310309309308307307307307306306306305303303304304301296294298999999999999999999999999999999999999287290293296297298300300301301301301302302302302303303303303303301301302302301301301300301301301301300300300300300300300300300300300300300300300300299299298299299298297298298298297297296297297297297297297297296296296296296296295295295295296295293294294293292292293295292292292292292292293292292293294293293293294295294999999999999999999999999299300301301299298298999297298300300299303304304304305306305304305304302303305303305304304304305304303301301301301301301300300300300300300300301299302302302301301304304304299300301301301302302302303304305301301301302303304304305305305305304303307310306305304303305305303304304304301303305305304302304305306305304304304303304304303305305302303303304306307307307306306306305306305306305305304306306305307304304304304304303304305305303304303303303304304304304304305306306305305306306306307306307308307308307308309309310310311312311313313312313313313313314314313313311312310311312310309310310311310310310309309311310310311311311310309309309309308309308309309309310308309309310310311310310309310310310311311310310310311311310310311312311311310311311311313312312312311311311311312312310310310309307308310308308310309309309309312310311313308309308307308309309308309308308307308307306306305305305304304304303304304304305304304305304303303304302302303302304305305303303303303301301303302303304305304304304304304303306306303303303303304304304304304304304304305305305305306306305305305305306306307307307307307307307307308307308307307307307307307307307307307306306306306306307306306306306306306307306306306306306306306306306306306306306306307306306306306307307307306306306307307306306306305305306305305305305306305305305305304304304303303303303303302302302302301302302301301301301300300300300300300300300300300300300299300300299299299299299299299299299299299299299298298298298298298298297297297297298297297297297297297297297297297297297297297296296296296296296296296295295295295295295294294294294294293293293293293293293293292292292292292292291291291291291291291291291291291291291291291291291291291291290290290290290290290290289289289289289289289289289289289289288289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302301303305307308309309309309308307307307307307307306305304303304304304302300295295295292999999999999999999292291292294297297299299300302302302302302302303303303304303303303303302302302301302301301301301301301300300300300300300299299300300300300300300300300300299299297300299299299298298298298297297297297298298297297297296296296297297297296297296296296296296296295295294293293292292293293292293293293294293293293294293294294294297293999999999999999999999999999999298299299299299999999297300301305306306305306307306305305304303303303304306306305304304305305305302301301302301300300301302303301301301301300302302303304303304304303301301300302304304303301300303304305303303303304305305305305306306305304310310304305305306303302303301301303301303304304303305305305305305304305304304304304305305305303305304305307308306308307306306305304305306306307306306306305305305305304304303304305305303303303303304304304304304304305305305305305305306305305306307308307305305307308308309311313313310312312311312312312313314314315314313311312311310310310310309311309311310310310310310311311311311310309310310308308306307308310310309310309309309309310309310310310310310310310311311311311311311311311311311311310311311311312313312313310312312310310310310311311309309308310309308308309309309308308310311313311308307308308308309309308308309308308308307307306306305305305305305305304304304305303304304304303303303303303304303303304305304304303303302302302302303304303303303304303302303304305303304303303304303305304305305305305305305305306306306306306305306307306306306307307307307307307307308307307307308307307307307307307307306306306306306306306306306306306306306307307307306306306306307306306306306306307307306306306306307307307306306306306307306306306306306306305305305306306306305305304304304304304303303303302302302302302302302301301301301300300301300300300300300300300300299300299299299299299299299299299299300299299299299298298298298298298298298298298297297297297297297296297297297297297297297297297297296296296296296296296295295295295295295295295295294294294293293293293293293293292292292292292292292292291291291291291291291291291291291291291291291290291291291290290290290290290290290290289290289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302304306308309309310309308308308308308307307306305304304304304304304303300296294295295294295296999999293296298299300300301302303303303303303304304305305305304304304303303303302303302302301301301301301301301301301300300299299299300299299299300300300299299299299299299299298298298298298298298297299299300299298298297296296297297297296296297296296296296296295296296295295297294294292294293294293293293294293294293293293295296294294999999999999999999999999999999999999999999999999999300302301305307308307307307305304304304305304304305306306305304305305305304303302303302302301302302301302302302301303302303303301304306305304305304302301302303304305300304304302305303303304304305305310306306306305304304305303305308306303301300300300301301302304303305304304304305304304304305304304304304305305305306306306306306306306306306305306306306305305305305306305305305305304304303304304304303303303303303303303304304304305305305305305305306306306306307307307308306306308309309309310313309311312312312313312312311313314313314312311312312311310310310310311309309309309310310310310310311310309308309310308308306306308309309309309309309308309310309309309309310310309310310310310311311311311312311312310310311312312312313312312311312312311311310310310310310308308309308308308308309308308308310312310309308309309309309309308308308309308308309307307307306305305305305305305304304304303303304303304303302303303303304304303304305305304303304303302301302303303304304304304302301303303304303304305304304304305304304305305305305305305306306306305305306306307307306307306307306307307307308307307307307307307307307307306306307307307306306306306306306306306306306307307307307306307307307306306306306307307307307306306306306306306306307306306306306306306306306305305305305305305305305305304304304304303303303303303302302302302301301301301301301301301301300300300300300300300300300300300300300299299299299299299299299300300299299299299299299298299299298298298298297297297297297297296296297297297297297297297297296296296296296296296296295295295295295295295295294294294294293293293293293293293293293293292292292292292292291291291291291291291291291291291291291290290290290290290290290290290290290290290289289290289289289289289289289289288289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304305307309308308308308308308308307307307307306305304304304304303303303301298298297297299301300299300301300301302302302303304304303304304305305304305305305305305304303304303303302302301301301301301301301301300300299299299300299298298299299300300300301300300299298299298298297298298298298298299299298298299298297296297298297296296296296296296296296296295298296296297296296296296296296295295293293293293294293293295295295296999999999999999999999999999999999999999999999999999300302300305306308309308306306303303303304305306306306305306306305305303304303303304304303303301301302303302302301302302303304303302306306305305304304303302301301306306305305305306307302303307305305306310311307306306306306303305305308303301299300300300302303303302304304305305305304305304305305304304303303304305305306306305306306306307306305304306305304305306305305306304304305305304304304303305303303302303302303303303303304305305305305305305305305306306307306306306307306305307308306307310312310310311311312313313312311311312312314312312311312311310310310310310310309308311310309308309311310310309308308309308310309306309308308309308310309308309310309309309309310309309310310310310310310310310311311311310310311312312313312311312311312312311311310310309310310308309309308309308309307308309308311312312309309309309309309309309309308308308308308307308308307307306306306305305305304302304304304304303303303301304304305304306304303305304304305303303301303304303304302304302302302304304304303304305305304304304305305305306305304305305305305305305305305306306307306306306306306306306307307307307307307307307307307307306306306306306306306306306305305305305305306306306306306306307306306306306306306306307307306306305306306306306306307307306306306306306306305305305305305305305305305305304304304304303303303303303302302302302301301301301300300300301301301301300300300300300300300300299299299300300299299299299299299300300299299299299299299299299299299298298298298297297297297297296296296297297297297297297297296296296296296296296296296295295295295295295295294294294294293293293293293292293293292292292292292292291291291291291291291291291291291291291291291290290290290290290290290290290290290290289290290290290290289289289289289289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305306308308308308308308307307307307308307306305304304304304304304304303301300300300301302303302303302302302302303304304303303303304305304304305305305306305305304304304303303303302302302301301302301301301300300300300300300300300298300300300300300300300299299299299298298297298298298298298298298297298297297297297297297296296295296296297296296295297297297297296298296295294296296295296296294293294294294294294295294296297999999999999999999999999999999999999999999999999999301301302305306306307308305304304304304306307307307306306307306303303303305304304304304304303302301302302303303302301300300299301300300305300305303301304309303304308306303303306307306303304305305306306306306306305306306306305306309306304300300300301301305307307305304304305305304304304304304304304304304303303304305305305305306305306304305306306303303304305306306305305304305305304305304303304304302302303303302302302303303304304305305305304305305305305306305306307306309307307307307306308310308307308312311313313312312311311312313312312312311312311311310312312312310309308311310309309311311311311310310309310309308310308311309309310310310309308309308309309309308309309309310310309309309310309309310311310310311311310310312311310311313312312311311310309310309310309308309309308310309307309308308309309309309309309309309309309309309307308309308308307306306308307306305307306305304304303304305304304303303302303304304303304305304304305304303304303303302303303303302302302303303304303304304304305305305305304305305305305305305305304305305305305305305305306306306306306306306306306306306307307307307307307307307307307306306305306306306306306305305305305305306306306306306306306306306306306306306306306307307306306306306306306306306306306306306306305306306305305305305305306305305305305304304304304303304303304304303302301301301302301301301300300300301301300300300300300300300300300300300300300300300300300300299299299299299299299299299299299299299299298298298298297297297297297296296296296297297297297297296296296296296296296295295295295295294295294294294294294294294293293293293293293293292292292292292292292292291291291291291291291291291291291291291291291290290290290290290290290290290290290289289290290290289289289289289289289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306306307307307307307306306306306307306305305305304305304304304304303302302302302303303304304304304303304303304304303304304305305304304305305305305305305305304304303303303303302302302302302301301301300301300300300299300300299299300300299300300300300299299299299298298297297297298298299299299299298297297297297297297296296295295296296296296296297297297297297296295296295296295296296296295295295295294294295294296298297999999999999999999999999999999999999999999999999999298300302305306306307307306305305304304305307306306307304303304304304304305304305305304304304303301300302302302302301299301301302301301301303303303302309308302302306307306307306307307308308309305305306307307308308306305306304305306305304303303303306304310306307304307308307306305305304304304303303303305304304303305305305306307306306306306305304304306304305306305305304304304305305304306304304304303302302302303302302302303304304304304304304304304305305306305306308308308307307310309307307309308308308310310311311312310311312311312313313312313313311311311311312311310309309312310309310310311309312310308310310309307308307309308309310310310308308308308309309309308308308308309310310309309309309309311311311311311310310310310311311311311313312311311310310311311309309309311309309308308308308307308307307307309308308309310309309308308309308309309309308308306306307306308307307305305304303303303303304303302303304304304303303304304303303304303303304303303303303303303302303303304305304304304304304305305305305305305304305305304305305305304305305305305305306306306306306306306305306306307306307307306307307307307307307306306306306306306305305305305305305305305306306306306306306306306306306306306306307307307306305306306306306306306306306306305305305305305305305305305305305305305305304304304304304304303303303303303302302302301302301301301300301301301301300300300300300300300300300300300299299300300300299299299299299299299299299299299299299299299299298298298298297297297297296296296296297297297297297296296296296296296296295295295295295295295294294294294294294294294293293293293293293292292292292292292292292292291291291291291291291291291291291291291291291291290290290290290290290290290290290289289289290290289289289289289289289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305305305306307307307307307306306306307305305305304305305304304305304304304304304304305305304304305305306305305305305305304305305305304304305305305305305304304304303303302303302301302302302301302302301301300300300300299300300300299299300300300300300300300300299298298298298298298299299299299299298297297297297296296296296295295295296296296297297296297297296297295295296296296297296295296296295296295296296296295296298999999999999999999999999999999999999999999999999999999298299302300303305308306306306306305304306307307307305304304305305306306306306306306306305304303303302302301302301300304302304303300300303304303303301303304305304307307306305304308308309311308306307308307306308306306305305304303304305308307304301304302306307307307305305306305305304304303304304303303303302304304305306306305306305306306305305305305304304305305304304304304304304304304305304303304303302301301302302302304304305304304304304304304304305305306307306307308310308308309308307307308309308308310310311310310310311311312314313314312310311312310310311311311309312312312311310311311311311310310310310311310307308308309308309309309309309309308309309309309309308308308309308309310308309310310311311312311310309310310309310312311311313312312311311310311311310310308310309310308307307308308308307307308308306307308309309310309308308308309309309309308307307306306306304305303305305305303304303303303304303303304303304304304304303303304304304304303303302302303304303303303304304305304305304304305305305305305306305305305305304305305304305305305305305306306306305306306306305305306306306307306307306307307307307307306306306306306305305305305305305305305305306306306306306306306306306306306306306306307307306305306306306305305305305305305305304305305305305305305305305305305304304304304304304304303303303302303302302302302301301301301301301301301301301300300300300300300300300300300299299299300300300300300299299299299299299299299299299299299299299299299298298297297297297296296296296296296297297297296296296296296295295295295295295295295295295295294294294294294294293293293293293293292292292292292292292292292292291291291291291291291291290290290291290290290290290290290290290290290290289290289289289290289289289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305305305306307307307307306306306306306306305305305305305304304304304304305305305306306305305305306306306306305306306305304304305304305305305305306305305304304304303303303303303302302302302302302301301300300300300300300300300300300300300300300301300300300299299298299299298298299299299299299299298297298297297298297297296296295295297297296297297297297296296296296296296297297297295296295296295295296296296295297298297999999999999999999999999999999999999999999999999999297298299300302302305306306306307306305305304304306304304303304305306305306306304304304305305305304303303301301302302302303304303303300301303304306305304305305304305309306307304308309309310313308308309307307308309308307308305304302305303303303300300301304305305305304305305306305305304304303302303303304304305306306307307306306306304305307306303304304303305304304304305304303303304304304304304304303303302301302302302304304303304303304304304305305305305306306305305308309310309309309310310308308309310309309310310311310311311313313313314313312311312311310310311310312311313313312311309309312313313310311312312310310309309308309309309309309309310309309309309309309309308308309308308309308309309309311311311311311309309310310309310311312311312314311312312310309311310310310309308309308308308308306307307308307307309308309309309309309309308308308309308309308308307307305306305305304304305304304303304303304305304304304303303303305303303303304303304304304303305302302303303303304304305305304304305305304305305305306306305304305304304304305304304305304305305305305305305306305306306305305306306306306306306306307306306306306305306305306306305305305305305305305305305306306306305306306306306306306306306306306306306306306306305305305305305305304304304304305305305305304305305305304304304304304303304303303303303302302302302302302302302301301301301301301301300300300300300300300300300300300299300300300300300300300300300300300299299299299299299299299299299299298298298297297297296296296296296296297297297297296296296296295295295295295295295295295295295295294294294294294294294293293293293293292292292292292292292292292292292291292292291291291290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305305306306306307306306306306306306306305305305305304304305304304304305305305306305305306306307307306306305305306305305305305305305305305305305304304304304304303303302302302301302302302302302301301300300301300300299300300300300300300300300300301301300299299299299299299299299299299299299300297297297297297297297297297296296297297297297296296297297296296296297297297296296295296295296296296295297296296296297299299999999999999999999999999999999999999999999999999999296299300300303305305305306307306308306306305306306304305303305305304304305305305304303307303304304305305302302302301302300304302302302305303306305306306305306304305306305305305306310310309307308309309309308309308309309307305303303303303303303303303304304304304304305305305306304304304304303303305303305304305305306305305305305306306305306307304304304304304304304305305304303303303305302303304303303303301301302302302304303304303303304303303304305306305305305305306309309309309309309309310310309310310310309310310309311311312312312312312312311310311311310310310310312313313311313310310310313313313313312311313309310307307308310309308308309310310309309309309310308308308308308308309309309310309310311311311310309309309309309309311311311311312312312312311311310310309309309309307308308309307307306307307307307308309308308309309309309308309309309309309309308307307308306306303304304303303304306303303304303304303304303302303304304303303304303303304304304304303303303303304303303303304304304304304304304304304304305305305304305305304304305304304305304304305305305305305305305306306306306306306306306306307307306306306306305305305305305305305305305305305305305305305305305306306306306306306306306305305306306306306305305305305305305305305304304304304304304304304304304304304304304304304304303303303303304303303303303303302302302301301301301301301301301300300300300300300300299300299299299299299300300300300300299299299299299299299299299299299299299299299298298298297297297297296296296296296296296296296296296296296295295295295295295295295295295295295295294294294294294294294293293293293293293293293293293293292292292292292292291291291291291290290290290290290290290290290290290290290290290290290290290289289289289289289289289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305306305306306306306306306305305305305305305305304305304304304304305305306306306307308308307306306305305305305305305305305305305304304304304305305305303303302302302302302302302302302301302302301301301301300301300300300300300300300300300301300300300299299299299299299299299299300299300298298298297297297297297297296296297297297297296295296296296297297297297298297298296295296296296295297297296296295296298299999999999999999999999999999999999999999999999999999999299301303305304305306306306308307306306306306305305303304304305305305304304304303304304303303303303305301301302302299301300301301303303304303304305306305305304306305305306305306307307307308308309309310309308305306305305305304303303303303303303303304304304305305305306305305304305305303304303305304304303305303304305305306307307307307307307305305304304304304304306305305303304303303303303302303303302303302303302303302305303303303304303303304305305306305305307309309310309309309310309310310310311311311311311311310311312313312313312312312310311311310310311311312313312313314314312310313315315312310309309311308309308310308308308307309309310309310309309309309309307307308308309309309309309310309310310310309309308309309309309310311311311312311311312311310310310309308308306307308307307307307306307306306307307306306308309309310310309309309310310310309308308308308307306304303303304303305305304303304304304304303303303303303305304303303305303303302304303302303303303304303303303304304304305304304304304303304304305305305305305305304304304305305304305305306306305305305305305305305305305306306306307306307306306306305305305305305305305305305305305305305305305305305305305306306306306305305305305305305305306305305305305304304304304304304304304304304304304304304304304304304304303304303303303303303303303303302302302302302302301301301301301301301301301300300300300300299299299299299299299299299299300300299299299299299299299299299299299299299299299298298298298297297297297296296296296296296296296296296296295295295295295295295295295295295295295295295295294294294294294294294293293293293293293293293293293292292292292292292292291291291291291290290290290290290290290290290290290290290290290290290290289289289289289289289289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302303303304305305305305306305305305305305305305305305305305305306305305306307307307307308308307306306305305305305304305305305305304304304304303304305305304303303302302303303302302302302302303302301301302301301301300300300300300300301301301301301301300300300300299299299299299299300300299298298297298297297297297297296296297297297297296295296297297297298296297298298299297295295296296296295296295295296297297293999999999999999999999999999999999999999999999999999999299301307307306305305306307306305305307307307306304304304304305305304305307303303303305302302301302301302301300301300301301302303303304304305305305306304305305306306307305306309308308308307309310310312309308306305306305305304303303302302304303304304304305306306305306306305305304303304304305304305304304303304305305305306306307307308305305305304304304305305305305303303303303303302304303303303302302303303303303303303302303303303303303304305305306306305305306309309309309309309309309309309309310311312311312311311311313312312312312311309310310310310311311312312313313313314316315314312314314312312309308308307308308307308308307308308309310310310309309310310309308308308308308309308309309308310309308309309309308309308308309311312312311311310311311309309309308308308306306307307307306307307306306306307307307307307309308309309310309309309310310310309310309308307306305304302304303303305305303303304303303303303303302304303304304303303303301303303303302302303303303303303303304304304305305305304305305304303303304304304304304305304305304305305304305305305305305305306305305305305305305305306306306306306305306306305304305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305303304304304304304304305304304304304304303304304303304303303304303303303303303302303303302303303302301301301301302301301301301301300301301300300300300300300299299299299299299299299299299299299299299299299299299299299299298298298298298298298298297297297297297297296296296296296296296296296296296295295295295295295295295295295295295295295295294294294294294294294294293293293293293293293293293293292292292292292292291291291291291290290290290289289289290290290290290290290290290290290290290290289289289289289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301302303304304305305305304304304305305304304304305305305305306305305306306306307307308307307306306305305305305305305305304304304304304304303304304304304304304304303303303302302302302302302302302302302302301301301300300300300299300300300300300301300300300299299299299299298299298299299297297297297297297298298298297296296296296295296296297297297298297297297297298299298298298296295295295295295295295295295298296999999999999999999999999999999999999999999999999999999301304304306305305307307305305306307306306304305304304303304305306306305303303301301301300303301300300301302302302302301302302302303304305304305304304304305306307307308308309311308308310311310309308307307307306306306306306304304304304303304305305305306306306306306306305305303303303304305304305305304304304305305306306306307308305305305303304306306307305305305305303303304303302303303303302303303303304304304303302303304304304303304306306306306306306307307308310309309309309309309309309310310311313313313312313313313313312312311310310309310310311311312311312313313313314316315313313315314309313309307308308306307307307307307306307307309309309310309309310309309308309308308308309310309308308308308308308308308308308309309310313312311310309310310309309309309308308307307307306306306307307306307306305307307307307307308308309309309309310309310310309309307308307306306305303304304303304302303304303303304303304303302303304304303303303302302302303303302303303303302302303303303304304304304304304304304304304303303304304303304304304304304304305305305304305305305305305305305305305305305305306306305306306306305305305304305305305305305305305305305305305305305304304305305305305305305305305305304304305305305304304304304304305304305305304304304304304304303303303303303303303303303303303303302302303302303303302302302302302301301301301301300301301300300300300300299299299299299299299299299299299299299299299299299299299299299298299299298298298298298298298297297297296296296296296296296296296296296296296296295295295295295295295294295295295295295295295295294294294294294294293293293293293293293293293293292292292292292292292291291291291291290290290290289289289289290290290290290290290290290290290290290290290289289289289289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300302304305304304304303303304304304304304304305305305306306306306306307307308307308307307307306305306305305304304304304304304304304304304304304304304304304304303303303303304304303302301302302301301301301300300300299299299299299300300301301300300300299300299299298298298298299298297297297298297298298298297298297296295295296296296295296297297297297297298298298297298296296295294294293294294295294294295297999999999999999999999999999999999999999999999999999999999999302302304306307308305306307308306306305305305304304306306305305306304306301305301301302303304302302302302303302303303303302302301303303303301302304303305306306307308306308309308311308308307306307306306306306306306306305305304304305304305305305306306306306305306305305305304305305305304305304304304304305305305306306307304305304305305304304305306306306306305305304303303303304303302302302303304304303304304303302302304304304304304305306307307306307307308307308308308308309308308309309310310311312312313312314311312312312312311310310310309310311311311311311314310309313314313316315310308313311309307307308307308306306306307306307308308309310310310309309309309308308308308309308309308308308309308308308308309309308309308309310311310310310310309309309310309308307306306306306306306307308306306305305306306307306307307307309309308309309309310308309308308308307306306304303304303303303303304303303303303303303303303304304304304302302302303302302302303303303303303303304303304303304303304304303304304304303303303303303303303304304305304304305304304305305305305305305305305305305305305305306305306306306306305305305305305305305304305304305304305305305305305305304305305305305305305305305305304304304304305305305305304305305305305305304304303303303303303303304303303303303303303303303302302302302302302302302301302301301301301301300300300300301300300300300300299299300299299299299299299299299299299299299299299299299299298298298298298298298298298298298297297297296296296296296296296296296296296296296296295296295295295295295295295295295294295294294295294294294294293293293293293293293293293293293292292292292291291292292292292291291291290290290290289289289289289289289289290289289289290290290290289290289289289289289289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302303302303302301302303304304304304304305305306306306307306306307307307307307306306306306305305305305305304304304304304303304304304305304305304304304304304304303304304304304303302302301300302301301301300299299299299299299300300301301301299300299299298298299298298297297297297297297297297297297298298297296296296295295295295295295296297298298298297298298298298296297296296295295293294294295296296297999999999999999999999999999999999999999999999999999999999999300300304306307307304306305306305305305305305304304305305303303304303302304303303303304303305305306305304303304304304304303302301303303301301303306307303305305304306307306308307308307307306306306306306307307304304304305305303304304305305305305306306305305305304304303304305304304304304304304304304304305305305306307305305305305305304304305306306305305306305305304303304303304304303302303303304304303304304305304304304304303304304306307307307306307307308307307307308308309309308309308310310310312311312312310310310310311312311311311310310310311311311311311310311314314316315315309311310309308306307307308306307307305306307307307308309309310309309309309309309308308309308308308309309309309309307307308308308308308308308308308309309310308308307307309309307307307306306306306306305306307306306307308308307306306306307307308309308309309309309307307308309307307306305305302304304303304303304303303303303303304304304304304304303302302302301303303303303303303303304303304303304303304304304303303304304304303303304303303303303304304305305304305305305305305305305305305304305305305305306306306305305306306306306305305305305305304304304305304305305305305305305304304304305304305305305305304304304304304304304304304304304304304304304304304303303303303303303303304303303303303303303303303302302302302302302302301301301301301301301300300300300300300300300300300300299299299299299299299299299299299299299299299299299299299299298298298298298298298298297297297297297296296296296296296296296296296296295295295296295295295295295295295295295295295294295294294294294294294294293293293293293293293293292292292292292291291291291291291291291291291291290290290289289289289289289289289289289289289290290290289289290289289289289289289289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301302301301302304303304304304304304305306306306306306307307308307307306305305305305305305304305305304304304303303303303303304304304304305304304304304303304303304304303303302302302302301301300300300299299299299299299300300301300300300300300300297300299297297297297296297297298297297297297298298298297296296296296296296295295296296297298298299298298298297297296295297295294293294294295296298299999999999999999999999999999999999999999999999999999999999999999302304306306305305305303303305303306306305305305302303303299302303303303303303304305305306306305303303303304304303303303302302302303303302303305301303303304306306305306307309307307307306306307307309306307303305304303303303305305307305303305305305305303304304304305304304303303304304304303303303304305306306306304305307304308305305304306306305305305305305305305304306302303304303303304304304304304304303304304304304304304304304306306307307307307308307307307307307308309308308308309309309309311310312310308309310310311311311311311311308309310310311311312311314314314317314313309313312309307306305307308307305307306307307307307308309309310309309309309309310309308308308307307309308308309308307308309308308308308308307307308308309309308307307307306308306307306305306305306306305306307306306306307307307307307307308309308308309309308309308308309309308308308307306305303304304304303304304304303303302303304304304304304304303302303303302302301302303303304304303304304304304303303303303303303303304303303303304303303303304304304304305305305305305305305305305305305304305305305305305305305305305306305305305305305305305305305304304304305305305305305305304304304304304304304304304304304304305304304304304304304304304304304304303303303303303303303303303304303303303303303303303303302302302302302302302302302301301301301301301301300300300300299299300300300300299299298299299299299299299299299299299299299298299299298298298298298297297298297297297297297297296296296296296296295295296295295295295295296296295295295295295295295295295294295294294294294294294294294293293293293293293292292292292291291291291291291291291291291291291291291290290290289289289289289289289289289289289290290290290290290289289289289289289289289288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299299300301302302304304304304304304305305306306306306306307307308306305305305304304304304304305305305304304304303303303304304304304303304304304304303303303303303303303303303303302301302301300299299299299299299298298299299299300300300300300300299299299297297297297296296297297297297296296298298298298297296296297297297296295295295295295297296296297297297297297297296295295294293294295298298299299999999999999999999999999999999999999999999999999999999999999301302303305305306305305304304305304305305306305303304304301300303302304304303303304305304306305304302301302301302302300302301302303304304302301303302303304305306309309310311310309307306306304305308309307303305306306305304304304306307305304305305305305304304304303304304303304304304304304303303304305306306306304304304304303305305308308305305305305304304303305304304303303303302303304304304304304304303303304304304305305304305305306307307307307307307307307307308308309309308308308308309308309311311312311311310310310311311312312312312309310309310309311311310314316314315314313308309308308308306306307307306307307307307307307307307308310309310309309309310310310310308308308308308308308310307308308309309308308307306306308307307308308307306306306306306306307306305304305306306305306307306306308308307306307307308308309308308308307307308308308308308308309307307305304304305304304303304303304303303302303303303305304304303303302303303302301302303304303303303304304304304304304303303303302302303303303303303303303303303303304304304304305305305305305305305305305305305305305305305305305305305305306305305305305305304304304304304304304304305305304305304304304304304304304304304304304304305304304304304303304304304304304304303303303303303303303303303303303303303303303303303302302302302302302302302302302301301301301301300300300300300299299299299299299299299299299299298298298298299299299299298298298298298298299298298298298297297297297297297296297297296296296296296296296295295296296295295295296295296295295295295295295295295295294294294294294294294294294293293293292292292292292292291291291291291291291291291291291291291291291291290290289289289289289289289289289289289289289289290290290290289289289289289289289289288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298299301302303304304304304304304304305306305306305305306306306305305305305304304305304304304304304304304303304303303303304304304304303304304303303303302303303303303302303301303303302302301300300300299299299298298298296296299299299300298299298297298297297297297296297297296297297297297297298298298297297297297297296296296295294295295296296297297297297297296296296296296294294295297298299299299999999999999999999999999999999999999999999999999999999999999301302302303303304304306305306304303304304304304304303304301301303303303303304304304304304303304303303302301300301301303304303303304305305304301303305305306306308310311311309309308307305308307307307307308305307305305305306305304307305305305306306304304305305304305304303304304304303304304304304305306306307307305308304307303305306308308305306305305305305305305303304304303303303304303303304304304304303304303304304305304305305306306306306307308309308307307308308307308308308307309309309310310310311312309310308310310311313312312311312310309308308309310310312314316316314314312312311311311312310309309306305305307306308308307308308308308309311310310310310310310309308308308308309308308308308308309308308308308307306306307307307307307306305306306305307306306305306305305305305306306307306306306306307305307307308308310309307308307307307308309308308309309308307305303304305305304304304304303304304303303304304304303303303303303302303301302302302303303304303304305304303304304304303303302302302303303303302303302303303304304304304305305305305305305305305305306305305305305305305305305305305305305305305305305305304304304304304304304304304305304304304304304304304304304304304304304303304304304304303303304304304303304303303303303303303303303303303303303303303303303303302302302302302302302302302302302302301301301301300300300300299299299299299299299299299299299299299298298299299298298298298298298298298298298298298298297297297297297296296296296296296296296295295295295295296296296296296296295295295295295295295295295295295295294294294294294294294294293293293292292292292292292291291291291291291291291291291291291291291291291291290290289289289289289289289289289289289290290290290290289289290290289289289289288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300303304304304304304303304304304304305305305305305306305305304305304304304304305304304304305305305305304304303304304303304303304303303303304303302302302302302303302302302303302302302300299300300300299299298298298297299299299299299297298297297297297297296297297297297297297297297297297297297297297297297295296296296296295294295294295296292298298297297297297296294294294294294297298299300999999999999999999999999999999999999999999999999999999999999999304304303302303304304303304305304304301302302304302300301301303301300302303303303304303303303302302303301301300301301302302302304303303303301304303303306305306307309310309307307306307312310307308307308307307310304305305304304305304305305306304304304304305305307304303304304304303303303304304305305306306307306307307307304304304304305307306305305305305305304304304303304303303303304303303303303304304303303303304305305305305306306306306306307308309307307307308308308308307308308309309310310310310311312310310309310312312313313311311310309309308308309308308313314315315313314312313311312311309311310309307307307307307307308308308308309309310311310310310310310309309308307307308308308307307308308308308307307306306306306306307307307306305305306305306306305306306306306306306304305306306305305306305307306306307308308309307307307308308308309309309309309308308307305305304305305305304304303304303303304304304303303303302303303303304303302302301302303303303304304305303304303305303303303302302302303302302302303302302302303303304303304305305304305304304305305306306305305305305305305305305304305305305305304304304304304304304304303303304304304304304304304304303304304304304304303303303303304304304304304304304304304303303303303303303303303303303303303303303303303303303302302302301301302302302301301302302301301301300300300300299299299299299299299299299299299299299299299299299298298298298298298298298298298298298298297297297297297296297297296296296296296295296296295295296296296296296296296295295295295295295295295295295295295294294294294294294294293293293293293292293293292292292292292291291291291291291291291291291291291291291290289289289289289289289289289289289289289289290289290290290289289289289289288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304304303304304304304304303304304305305304304305305304304305305305304305305305304305305305305305305304304304304304304303303303303304303302303302302303302301302303303303302301301301300300300300299299299299299299298297299299299299297298297297296297297297297296297297297297297297297297296296297297297296296296296296295295295296296296296297298297297297298297296295294294295297298300301999999999999999999999999999999999999999999999999999999999999305303302302302303302304303303303301301301301301302303300299301300301302304303303303302303304302303303302302303302300301301302303304305305301303306308303306307309308308308308307305304309310310309308306309304304308306306307305302304305305305306305304304304304304305305304304304304303303303304304304305306306304305306307307304305304305305305305306305305305305305303302304303304303303303302304303303303303303303303304304305305306306306307307307307307306306307307307308308308308308309309309309309309310311311311309309309310310311311311308309309309308308307307310312313313313312311312309310310310311310309309307307307307307306306307308308308308309310310309309309309310309309307306307307307307307308308307306306306305305305305306307307306306305305305306306305305305305306306306305305304305306305306305305306306306305305308307308307308307308308309308308307309309309306305305304305304304304304304303304303303304303303303303303303303302303301302302303303303303304305304304304303303304303303302302301302302302302302302302302302303303304304304305305304304304304305305306306305305305306305305305305305305305305305303304304303303303303303303303303303304304304304304303304304304304303303303304303304304304304304304304304303303303303303303302302303302303303302302303302302302302302302302302302302302302302302302302301301301301300300300300299299299299299299299299299299299299299299299299299298299299298298299298298298298298297297297297297297297296297296296296296295296296296296296296296296295296296296295295295295295295295295295295295295294294294294294294294294293293293293293293293293293292292292292291291291291291291291291291291291291291291290289289289289289289289289289289290290290290290290290290289289289289289288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303303304304304304304303304304305305305305306305303303305304304304305305305305304305305305305305305304304304304304303302304304303302303302302302303303303302303303303302301301300300298300301300299299299299299299299298299299298297297297297296297297296297297297296298298298297297297296296297296296296296296296297296297296295296296296297298297297298298298297297295294296297298300303999999999999999999999999999999999999999999999999999999999999301303302301302301301303302301301302302303302300301302302301301303300303303302302302304303303304305305305302302302302300301304305306304302303302310306305307307308308308309311311305305304309309307307308308308308307307305304301305305305305305304304304303303304304304304304304304304303303303304304305305306306306306306307305304304305306306305305306306305305305304303303302302303303302303303303303303303302302303303303305305304306306306306306306307306306306307307307308308308308308309309309309309309309310311310308310310311311312309307311312310309309307307307311311313312313313312310309309309309309308310306307306306306306306306307308307308309309310310309309308308309309308307307307308307306308307307306306306305305305305305307306307306306305305306305306306305305306305306306305305304305305304304304305306306305309308308307307308308308308308308308307309309309308306305304304304304304304304303303304303302302303303303303303303303302303302302303302302303304304305304304304304303303303302302302302302302303302302302301302303303304304304304304305305304304304304305306306305305305306306306305305305305305305305304304304304304304304303302303303303304304304304303304303304303304303303303303303304304304304304304304304303302303303303302302302302302303302302302302302302302302302302302302302302302302302302302302301301301300300300300299299299299299299299299299299299299299299299299299299299299299299299299299298298298298298297297297297297297296297296296296296295295295296296296296295296295295295295295295295295295295296295295295295295295294294294294294294293293293293293293293293293292292292292292291291291291291291291291291291291291291291290289289289289289289289289289290290290290290290290289289289289289288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303305305304303303303305305305305305305304303304304304305305306305305305305305305305304305305305305304304303304303304303303302303303303303303303302302302302302303302301300299299300301300300299299299299299299299298297298297297297297296296297297298298298297298298298297297296297296296296296297297297298297297296297296296296297297298297298298299298297297298297298297299301303999999999999999999999999999999999999999999999999999999999300302302301302301301301301301302301302302302302302302302302301301301301301302303302304303305304304304305304303302301300300304302306307305303305305304305304308306308307307305311306305309305313307307308312313307307306306304305305306305306305304304303303304304304303303304303304304303303304304304304304305306306306304303305307304304306306305306305305306305305305304303303303303303302302303302304303302301303302304304303303305305305306307307306307306306307306307307308308308308308308309309309309309309309310311311310310309311311310309309310311309309308308308309311312314314313313313310309310310311310308308308306306305306306308306306307308308308309309308307308309309309309307307308309308307307308307306306305306306305305305305306306306306305305305306305306305306306307307306307304306306305304305305304305306307307308308307306307308308308307308309309308308308310307305305303305304305305304303304304302303303302303304303302302302301302303302303304303303303304304304303304303303303303303302302302302302302302302302302302302303303304304304304304305305304304305305304306305305305305306306306306305305305305305305305304304304304304303304303303303303304304304304303304304304304304304303303304304304304304304304304304304303303303303303302302302302302302302302302302302302302302302302302302302302302302302302302302301301301300300300299299299299299299299299299299299299299299299299299299299299298299299299298298298298298298297297297297297297296296296297296296296296296296296296296295296296296295295295295295295296295295295295295295295295295295294294294294293293293293293293293293293293292292292292292291291291291291291291291291291291291291290290289289289289289289290290290290290290290290290290290289289289289288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304304304303303302302303305305305305304303304304304304305306306305305305304305305305304304305304304304304303303303303302303303303303304302303302302302302302302302301301300300300300300300299299299299299300300298298298297298298298298297298298298298298298298297297296297297296297296297297298296297297297298297297297297297297297298298298298298298298297297299298999298299303303999999999999999999999999999999999999999999999999999999999303303303302302301302301301301301301301302302301302302301301301299301300301302303303304304304304305303304303303303303303302302305309310311305304306312309312309306307307306306306307307307307311308308311311308307306306306306305305305305305304304306303304304304304303304303303304303304304305304304303303303306306307306305307305304305306306306305305305306306306304304304303303303303303303303303304304303301304303304304304304304306307306307307306306306306308306307308308307307307307307308309309309309309309309310311310311310310312312309311308311308308308310310311313312313312312311310309309310311310310308309306306306305306307307306307308308308308309309308308309309310309309308307308308308307307307306306305306305306305305305306306305305306305305305305305305306306305307307306307305306306305305305305304305305307306307307306305306308308308308307308309308308308306306307306305304304305305304304304303303303304303303303303302302302303303303303302302303303304304304304304304304304303303303303303303303302302302303302302302303303304304304304304304305305304304305305305306305305305305305306306305305305304305305305305304304304304303304304304304303303303304304304304303303304304304303303303304304304304303304304304304304303303302303302303302302302302302302302302303302302302303302302303303302302302302302302301301301301301300300300300299299299299299299299299300300299300300300300299300299299299299299299298299298298298298298297297297297297296296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295295295294294294294294293293293293293293293293293293292292292292292292291291291291291291291291291291291291290290289289289289289290290290290290290290290290289289289289289289288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302302302302303304305305305304304304304304305305305305304304304304305305305305305305305305304304302303303304302303302303303302302302302301301302302302302301301301300300300299299298299300300299299299299298298297298298298298298298297298298298298298299298297297296297298297297297297297297297298298297298298298297298299299299298298299298298298299299299999999300302303302999999999999999999999999999999999999999999999999999999305305303302302301301301302301301301302302302301302301302302301301301301302301301303302302304304304302304303307304303304305306309309311313305307309311310310311314307307307307310313307307307312312313311308308306307307306307306305305305306306306306304305304304304304303303303303303304304304304304305305305305306307307307305305305305305306305305305306306305305304304304303303302303304304302302304303304302303304303304303305306306307307307307307305308307309309307307308308308308307308308310309308308308310309309310310310310310311309307310308308308307307309310312313313313310311310309308309310310307308308309306307306307307306306307307307308308307309309308308309310310309308307308307308308308308307307306307306306306305305305305306306306306305306305306306305306306306306307307307307306306304305305305304304305305305306306305306306307307307307308308308308308306306307307306306304305304305305304304303303303304303302304302302303301303303303303302302302303304304303304304304303303303304303303303303303302303303303303303303303303304304304304304304305305304305305305306305305305305305305305305305304304304305305304304303304304303304304303303304304304304304304304304303304304304304304303304304304304304304304304304303303303303302302302302302301303302303302303303302302302302302302302302302301301301301301301301301301301300300300300300299299299299299299299299299300300300300299299299299299299299299298299299299298298298298297297297297297296296296296296296296296296296295296296296296296295295295295295295295295295295295295295295295294294294294294294293293293293293293293293293293293292292292292292292291291291291291291291291291291291291291290289289289289289289290290290290290290290289289289289289289289288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302301300301302303304304304303303303303304304304304305305304304305305305305305305305304304304303303303302302302302302302302303302302302302301302302302302301301301300300299299299298299300298298298298298297297297297297298298298298298298298298298298298297298298298298297297297298297298297297298297298298298298298298299299299298298299299298298299299299999999299302301300999999999999999999999999999999999999999999999999305306304304303302302301301301301301301302303303303302302303302301302302301301302302301302303303303305303303303302306304307308308306309308308305306308310309310311311307310315313314312314311306307308307310310307305306307306307307305305305306306306306304305305305305304304304303303303304304305305305303305304305303306306306304304304304304305305306305305305305305304304304303303303303303303303304303303304305304305304304304304306307307308307307306306305307308309309308307308309309308308308308309309309309310311310310310310309310311312310308309309308310307307311311312314312312310308308309309309309309308308307308306308307306307307306307307307307307307308308308308309310307308309309308307308309307307307307307307307306306306305305306306306306306306306306306306306306306305306307307307307306305306305305305304305305306307306306306306307307307307307308307308308308307307306306305306305306305305305305304304304304304303302302302304302302302303303302302303303304304304304303304305304304303303304304304303303303303303303303302303303303304304304304304304305305304304304305305305306305305305305305305305304304304305305305304304304304303304303303303304303304304304304303303303304304304303304304304304304304304304304304303303303303303303302302302302302303302302302302302302302302302302302302301301301301301301301301301301301300300300300300300300299299299299299300299299300299300299300300299299299299299299299299299299299299298298297297297297297297296296296296296296296296296296296296295295296296295295295295295295295295295295295295294294294294294294294294293293293293293293293293292293293292292292292292291291291291291291290291291291291291290290290289289288289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299300301302304304303303303301302303303304303304304304304304304304304304304304304304303303303302302302302302302302303302302302301301302302301301302302301300300299299299299298299298298298298297296297297298297298298299299298299299299298298299298298298298297298298297299299298298297297298299299299298299299298299299299299299299299299299299299300999999999299299999999999999999999999999999999999999999999304304304305305305303302302301300302302302300302302302303304303302303303302301301302301301302302302303303303303302304304304305306309309310309312313310306307307309311311315305309310313314313313311311308307307307314311308306306306306306305305305305305306306304304305305305305304305304304304304304304305305305304304306306306306305305305304303303304304305305305305305305305304304304303304303303303304304305304305304305306305305304304304307307308308306308306306306307307309308308309308308309308308309308309309309310310310310310310311311311311311310310309308308309311311312312312311313309309310310311309309308310309308308305307307308308307306306306307307307308307308308308308308309308307309309309308308308308308307306307306306306305305305306305306306306306306307307307307307307307307307307307308307307306305306305305305306307307306306305305306306306308308309308307308308307307306306306308307307306306306306305305304305304304303303302302302302303303302302302302303304303304304303304304304304303304304303305303303303303304303303303303303303304304304304304304304304305305304304304305305305305305305305305305305304304305305305305304304304304304304304303304304304303304304304304303303303303303303303304304304304304304304304304304303303303303302303302302302302302302302301302302302302302302302302302301301301301301301301301300300300300300300300300300300299299299299299299299299299299299299299300299299299299299299299299299299299298298298297297297297297297296296296296296296296296296296295296296295296295295295295295295295295294294294294294294294294294294293293293293293293293292292292292292292292292292292292292292291291291291291291291291291291290290290289289289288289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299300301302303303303303302301302303303303304304304304304304305304303303303304303303302302302302301301301301301302302301301300300301300300300301301302300300299299298298298298298298297297298297297297297298299299298299299298298298298299299298299299299298298298298298299299298298297298298299299299298298298298298299299299300299300300300300300299999999999999999999999999999999999999999999999999999999305304303303304305304303303302301301301302302301301302301302303303302303303305303301304302302302303303303304304304305305306306307308309309310308309307308307308310311313307307307306313314314313315308308308308308311307307309307306306306306305305305305305306305304305305305305305305304304304304304305304304304304304304303306305305305305305302303303304304305304305305305304304304303303303303303303304303303303304305305304305305304305304305305306307308307307306307306306307308308307308307308307308309310310310310310311312312310311310311311311311311310309308307308311312312310310308313309309309308310310309310309309308309308309308308308306306306306306307306306307307307308307308307308308308307307307308307307307307307307306306306306305305306307307307306306306307307308308308307307307307307307308308307306306306305305305306307306307305306305304305306306307307308308309308307308306306305305307307307306306305305305305306304304304303303304302301303303303302303302303305305304304304304303304303304304304304304304304304303303303303303303303304304304304304304304304304304304304304304304305305305305305305305305304305304304304305304304304304304304304304304304304304304303304304304304303303303304303303303304303304304304304304304304304303303303303302302302303303302302302302302301301301301301302302301301301301301301301301301301300300300300300300300300300300299299299299298299299299299299299299299298299299299299299299299299299299298298298298297296296296296296296295296296296295295296295295295296296295295295295295295295295295295294294294294294294294294294294293293293292292292292292292292292292292292292292292292292292291291291291291291291291291290290290290289289289289288289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299301302302302302303303303303303303303304304304304304305304304304303303303303303302302302302302301301300300301301301300300300300300300300300301300300300300300299299298297298297298298297297298297297298297298298298298298298298299298299298298299299298298298298298299298298298298297297298298299299299299298297298299299299300300300300299299299299300999999999999999999999999999999999999999999999999303301301301304304305305304302302301301301301301301300300302302302304301300302303303302303303303304304304304304304306306306308306308311309308310309309309309308308311311310307308307314313314315308307315315308313310310308307307306306306306306305305304305306304304304305305305305305305305305305305305305304303304304303302305305305305305304303301306306303304304303304304304305304303303304303303303303303303304304304304305305306305304305305306306306307307306307307308307306307308308307307307308307307309310310311310311312312312311310310311311311309309309309309308308307309309309309309312311311310311310308309308309309309308308309305306306305305306306306306306306307307307308308308307308308307308307307307307307308307307307307307307306306306307307307307307307307307307307307310308307307308308308308309308308307307306305305306307308308306306305306306307306307306308308308307307307307306304306307306306306307305305306305305305305304303303304302302302302303302302302304304304303303304304304304304304305304304304304304303304303304304303303303304304304304304304304304304304304304304304304304305304305305305305305305304304304304304304304304304304304304303303304304304304304303304303303303303303303303303303303303303303304304304304303304303303303302302301302302302302302301301301301301300301301301301301301300301300300301301300300300300300300300300300300299299299299299298298298299299299299299299299299299299299299299299299299298298299298298298297297297297296296296296296296295295295295295295295295295295295295295295295295295295294295294294294294294293293293293293293293293292292292292292292292292292292292292292292292291291291291291291291291291291290290290289289289289289289289289289289289289289289289289288289289289289289289289289288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302302302303303303304303303303303304304305304305305304304304304303304303302300302302301302301300301300301300300300301300300300300300300301300300300299299299298299298297297297297298297296297297297297297297298298298298298299298298298298298298298299298299299299298298298298297298299299299299299298298299298299300299299299299301300299298299299999999999999999999999999999999999999999999999999999300301302305305305305304303302302300300300300300300301301302301303302302303304302303304304304309308307307306305306305305307307308309308306308307308308308307309311310307306308308311311307312307314314314307311310308307307306306306306306306304305303303303304305305305305305305305304304305305305305304302302304303302303303304302305305303303304305306303303303303305304304305304303304303304303304303303303303304304304304305305304304305305307307306306306306307307306306307307307308307308306308309308309310311311312310311311311311311310310310309308310309308308309308307306309309310310310310309310310309308309308307309308307307307305306307306305305306305305306306306306307307308306307307307308307307307307307307307308308306306307306306307307307307307307307307307307307307307308308308307308307308308308307308307306305304305305307308306306306305305306306306306306307307307307306306305306304305306306306306305304304304305305304304303303302303301302302302301301302301303303303303303304304304304304304304304304304304304303303303303303303303303303303304303304303303304303303303303303303303304304303304304304304304304304303303304304303303303303303303303303303303303303303303302302303303303303303303302303303303303303303303304304303303303303303303302302302302302301302301301301301301300300300301301301301301301301301301300300300300300300300300300300300299299299299299299299298299299299299299299299299299299299300299299299299299298299299298298298298297297297296296296296296296296295295295295295295295295295295295295295295295295294294294294294294294293293293293293293293293292292292292292292292292292292292292292292292292291291291291291291291291291290290290290289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302303303303304304304304303303304305305305306304305304304304304303304303302301302301301302300300301301300301300300301301300300300300300300300299299299299299298298297297297297297297296297297297297297297298297297297298299299299298298298298298298298299299299299299299298298298298299299299300300300299298300299299300300300300301301300298299299999999999999999999999999999999999999999999999999999302302304304306305304304302302301300301301300301301302302301303301302304303304304304304307307305307306307308307307307306306305307308306304306306307307310308306308307308308308310310311311311308311312312310311309309308308307305306306306304304304304305304304305305305305305305304305304304305304303303303303302303302302304302302302305305302302305303303303303303303304304304304303303304304304304303303304304304305305304305305305305304304305306305305305305307306305306307306306307307309308309308308308309310309308311311309311310309309309308307307308308308307308307307307308308307308307309310310310308310309307307307306307305305306304304304305305304306305305305306306305306307307307307307307306306306307308308307307307306306307307307307307308309308307307307307307307308307308308308307308308308308308307307308307306307306305306306306305305305306306306306306307305306305304305304305304305305307306305305304304304304304304304304304302302302302302302301301301303301303303303303303303304303303304304303304304304303304304304303303303303303303303304304304303303304304304304303303303302303304304303303304304303304304302303303303304303303303302303303303303303303303303302303303302303303303303303303303303303304303303303304304303303303303303303303303302302301301302302302301301301301301301301301301301301300301301301301300300300300300300300300300300300299299299299299299299299299299299299299299299299299300300300300300299299299298298298298298297297297297297297297296296296296296296296296296296296296296295295295295295295295295294294294294294294293293293293293293293293293292292292292292292292292292292292292292291292291291291291291291291291290290290290289289289289289288288288288288288289289289289289289288288288288288288288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302302303304303304303303303304306306305305305304303303303304303302302302302301300300301301301301300300299300299300300300300300299300300299299299299298298297298297297296296296297297297297297298299298298298298298299298298298298298298299299299299299299299299299299298298299299299300300300300299299300301301301302301301301301299300300301999999999999999999999999999999999999999999999999304304304304304306305302303302302301301300301302302301302302302302302302304303302304305303305305303305306307307307306307305306305305305305305305306306309309308306306307308308309309310311312311311311312312311311308309308310308307306306306304304305306304304304305305305305305304304305304305304305305303303302302302302304302302304305305305305302304304302303303303303304304304307304305304304304304304304304305305305305305305304305305306307304305305305305306306306306306307308308308309309309309308307309309309308309310309309309310308309309309307308308309308308307307307308309308309307309309309310310309309309308308309307306305305305304304304305305305306305305306305306306306307307307307307307306306307306308308307307307307307307307307307308308308308307307307307308308307308308308307307307308309307307307307307306307306306307308307307306306307307307306306306306305305305305305305304304304305307305305304305304304304304304304303303302302303302301302302301301302302303304303303302302303303303303303303304304304304304304304303303303303303303303303303303303303303303304304303303303303302303303303303303304303304304303303303303303303303303303303303303303303302303303302303303303303303303302302303303303303303303303303303303303303303303303303303303302302302302302302301301301301301301301301301301301301301301301301301301301300300300300300300300300300300300299299299299299299299299299299299299299299299300300300300300300299299299299299298297298297297297297297297297296296296296296296296295296296296296295295295295295295295294294294294294294293293293293293293292292293292292292292292292292292291291291291292292292291291291291291291291290290290290290290289289289289289288288288288288289288288288288288288288288288288288288288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300300302302304304303302303304306305305304304304304303302302302302302301301300299301301301301300299299299299298299299299299299298299299299299298298297297297297297296297296296297297297298298298297297297298298298299298297297298298298299299299300299300300300299299299299298299299300301300300299300300301301301301301302301301300301300300999999999999999999999999999999999999999999999999303303303303303303302302302303302302301301301302302302302302303305304303305302301303304304305305304304304303306305305305306306307303303303305304306306307309308306306307308308309309310311312311312312312313311309308308308309307307306306304305305306306305304304304305305305304305304305305304305306305305302303302304304305304304304304305305305305302302302303303303304304304304304304304304304304304304305304304305306306306305306304305305305305305304305305306307306306306307309309309309308309309309308310310309309309309309310309310310309309308308308309308308308308307308308308308306307307310310310309309308307308307306306305303305304306304305305306305306304306306306306306306306306306308307308307306306307309307307307308308307308308308308308308308308307307307308308308308308308308308308308307307307307307307307307306307306308308307307306306307307307306306306305305305304305304304304305305305306305304305305304304304304305304304303302303303302302302301301301302302303303303303302303304304303303303303303304304304304304304304303303303303303303303303303303303303303303303303303302302303303303303303303304303304304303303303303304303303303303303303303303303302303303303303303303303303303302302303303303303303303303303303303303303303303303303303303302302302301302302302301301301301301301301301300301300301301301301301301300300300300300300299299300300300299299299299299299299299299299299299299299299299300299299299299299299299298298298298297297297297297296296296296296296296296296296296296296296296296296295295295295295294294294294294294294293293293293292292292292292292292292292292291291291291291291292292292291291291291291291291291290290290290290290289289289289289288288288288289289289288288288288288289289289289289289288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300302302303304304304304304305306305304304304304303302302302302301301301300300300300300300300300299300299299298299299297298298298298298298297297297297297297296297297296297297297298298298298297297297297298298298297297298298298298299299299299299299300300299300299298298298299300301301300300299300301300300301301301301301300300300300999999999999999999999999999999999999999999999298300301302301301302301302300301302301302301301302302302303303304303302304302302303305304305305305304304304306305305304304305307305306303305304306304307308307308308307307307309308308311311311312311312313310310309311307308309306305305307306306306305305304305305304305305305304304304304305305306306306305306305304305305305305305305304304305305302303302303303303304304304304304304304304304304304304303305305304305305306306306305304305304305305305305305306307307306306306307308308308307309309310309309310310310310309310310310309309309309309309308309308308308308309309308308307307307307308310310309309308307307308306306306305306305304304305306306305306306305306306307306307306306306306307307307307308307308309308308308309308308308308306307308308308308307307307308308308308308308308307308308308307308308307308308308307305307307308307308307308307307306305305305305304305303303304304304304305305305304305305305305305305305305304305305304303303301302302302302302302303303303303303303303304304304303303303304304304304304304304304304304303303303303303303303303303303303303303303303302302303303303303303303303304304304304303303303303303303303303303303303303302303303303303303303303303303303302302303303303303303302302302302302302302302302303303302302302302302301301301301301301301301300301301300301300300301301300300301300300300300300300300300299299299298299299299299299299299299299299299299299299299299299299299299299299298299298298297297297297297297296297296296296296296296296296296295296296296296296296295295295295295295295294294294294294293293293293293292293292292292292292292292292292292292292291292292292292291291291291291291291290290290290289290290290290289289289289289289289289289288288288289289289289289289289289288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301302303303303304305304304305305305304304303303303303302302301301302301301300300300300300301300300299299299299298298297297298298298298298296297297297298298297296296297297297298298297298297297297297297297298297298298298298298298299299299300300300300300300300299299299300301300299299299300300299300300301301301301301301302302302303999999999999999999999999999999999999999999298299300301301301301301300300300301301302302301301301302302303303302302302301303303305304303304303304304305305304304303303303305305304305305305304309308308309308308308309307308308309310310310311311313310313312313313310309308306305308306307307307306305304305305305305305306306305304304304304306305305305304304304304305308307305305304305302302302302303302302303303304303304303304304304304304304304304304304304304304305305306305306306305305306305306306306306306306306306306308307307308309310309309309309309310310310311310310309310310309307309309309308307308308309308308308307306308309307309310308308308308306307307306306306306305305306306306306307307305305306307307307307306307307307307307307308308308308308308308308308309309307305304307309308308309309308308309309308308308308308308308308308308308308307307308307307306307307306307307308307307307306306305304304304304303303303304304304305304304305305305305305305306305305304304304304303303303303301303302302301302301304303302303303303303303303303303303303303303304303303304304303303303303303303303303302302302302302302302302302302303303303303303303303303304304304303303303303303303303303303303302302303303303303303303303303303303303303303303303302302302302302302302302302302302302302302302302302302301301301301300300301301301301301301301301301301301300300300300300300299300300300300299299299299299299299299299299299299299299300299299299299300300299299300299299299299299298298298298297297297297297297297297297297296296296296296296296296297297296296296295295295295295295295294294294294294293293293293292293292292292292292292292292292292292291292291291291291291291291291290290290290290289289289289289289289289289289289289289288288288288288288289289289289289289289288288288288288288288288288288288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301301302303303304304304304304305305304304303303303303302302301302301301301301300300301300299299299298299298298299298297297297298298298297296297297298298298297296297297298297298297298298297297298298298296298299299299298299299299299299300301301301301301301300301301299300299300299300299300299299300300300300301301302302303304304303999999999999999999999999999999999999999999999299300301301302301300300300301301301301301299299301301301302302301301302303303304303302303303304302304304303303303302303304304304305305305306307307308309307308308308308307307307309309309310310310310310311311307307308307307306307305306310309308306303304304305308305306306306306306305305304304305305305304304308305304306305304305305305301301301301302302302303303303303303303303303303303303303303303304304303303304304304304305306305305305305305305306306306306306307307307307306307307308310309308307308309309308310310309310309309309308307308308308307307307308308309309308307307307308308309309310308308308307307307306306306305306308307306306305307307307305306306306307306306306306307307307307307306307308308309308308308309309306307999307308308307307308307309309309308307307307308307308307307308308307307307306306306306307306306306306306306306306306305305304305303303303303303303303304304304305305304305305305305305305305304304303303303303303303302302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303302302303303302302302302302302302302302302302303303303303303303303303303304303303303304304303303303303303303303302303303304304303303303303303303303302303302302302302301302302302302302302302302302302302302301301302301301301301301301301301301301301301301301301301301301301300301300300300300300300300300300300300300300299300300299299299300300300299299299300300299300300299299299299299298298298298298297297297297297297296297296296297296296296296297297297296296296296296295295295295295295294294294293293293293293293292292292292292292292292292292292292292292291292291291291291291291290290290290289289289289289289289289289289289289289289289289289289288289289289289289289289289289289289288288288288288288288288288288288288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298301301302302303304305305304304304304305305303303302302302301301300302301301301300300300300299298297298297298298297298297297297297298296297296297297297296297297297297297297298298298298298297296297297298298298299299299299299298299299299300301301301301300301301301300300300299299299300299300300300300301301301300301302302302302302302299999999999999999999999999999999999999999999300302302301302301301301302301302302301301301301301301302302301301302303303303303303302303303304303304304304304302303305305305305306307307306307307307307308308308307307308308307307309309310309310310309309310309307311310310311309310310309309308307307305303306307306305305305305305305305305304305305305304304307305305304304304304305305301301302301302302303303303303303303303303303303303303303303303303303303303303304304304305305305304305306306306306306306306306306306307306306308307308309308308307307309308309309309309309309307310308307308308307307307307307307307307308308306308308308307308308308307306308307307306306305305306305305306306306307306306305305306306306305306305306307307307307307307308308308308308307308308307305307305307307308308307307308309308308307307307307307308308307307308307307307307306306306306306306306306305306307306305305304304304304303303303303302303302302303303304304304305305305305306305304304304304303303303303303301302302302303303303303303303303304304303303303302302302303303303303302302303303303303303303302302303303303303303302302302302303303303303304304304304304304303304304303303304304304304304303303303303303303303304304304304304304303303303303303303302302302302302302302302302302302302302302302302302302301301301301301300301301301301301301301301301301301301301301301301300301300300300300300300300300300300300299300299299300299299299299300300300300300300299300299300299299299299299298298298298297297297297297297297296297297297297296296296296297297296297296296296296295295295295295295295294294294294294293293293293293292292292292292292292292292292292292292291292292292291291291291290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299301302303303304304304304304303303303304304303302302302302303302302301302301301301299298299298298298298298298298297298298297298297297296297297296296297297297297297297297298298298298298298298298298298298298298299298299298298298299299300301301301301301301300300300300300299300300300299300300300301301301300301301301301301300301301298999999999999999999999999999999999999999999999302303999999302301302302301302301301301301301301301301300302303302302303302302302303303302302302303303304303303304304304304305306306306306307307306307307307307307307308307306306307309310310308307307309308307309310311310310308309309308307307307306305306305305305306304305305306305305305306306307304305303304305306304304304304305302302302302302302302303303303303303303303303303303303303303303304304304304304304304304305305305305305305306306305306306306306307307307307307306307308307309308308307308309309310309309309309309308308308309309308307308307308308307307306306307307306307309308307307307307307307307308306306304305306305305307308308307307306306305306306306305305305306307307307307308308308309307308308307307308307305304307308307308308309308308307307308307306306307307308308308308308308308307306307306306306305306306306306306306305306305304304304304303304304304303304303303303304304305305305305306305306305305304305305303303303303303303303302303303303304303303304304304304304303303302303303302303303303302302303303303303303303302303302303303303303302302303303303303303303304303304304303304304304303304304303303304304303303303303303303304304304304304304304303303303303303303303302302301301301302301301301302302302301301302302302302302301301301300300300301301301301301301301300301301301301301301301300300300300300300300300300300300300300300299300299299299299299299300300300299299300300299299300299299299299299298298298297297297298297297297297297297297297297297296296297297297297296296296296296295295295295295295295294294294294293293293293292292292292292292291291292292292292292292292291291292291291291291290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299301303302302303303303303303302302303303303302301303303303302301301301300300299297298298298298297298298297297297297298298297297296296295297296296297297297296297298298298298299299298297297298298299298298299299299299299299300299300301302302303302301301300300301300300300301301301301301301301301301301301301301301301301300300300298999999999999999999999999999999999999999999999302303302999302304302301301302302302302301301301300301301302302302302301302303303304304303303303304303304306305304304305305305305304304305306306305306306306306307307307307307306307307307307309305306306306308309308309307309307308308307307306305305304304303303304305304303305305305305305306306306304303303303303304304304305304302301302302302302302302303303303303303303303303303303303303303303304303304304304304304305305306305305305305305305305306305306306306306307307308307307309309309307307308309310310310309309309309309307307307309308308308308307309308308306305306307306307307308308307307306307308307307305306306306307306305307307309309308308308307306306307306305306306308308308308307308308308308307308307307307307307304305307307308309309308308307307306307306306306306307307307308308307308307307306306306307306306307306306306306306307306305305304304304303304304303304304304304304304304305305305305305305305305304304305304303304302304303303303302302303303303303303303304304303303303302302302302303303303303302302302302303303303302302302303302302302302302302303303303303303303304303303304303304304304304304303303303304304303303303303303303303304304304304304304304303303303303302302302302301302302301301301301302302301302302302302302302301301301301301301301301301301301301301301301301301301301301300300300300300300300300300300300300300300299299300299299299299299299299300299299299299299299299299300299299299299298298298298297297297298297297297297297297297297297297297297297297297297297296296296296295295295295295294294294294294293293293293292292292292292292292291291292292292292292292292291292291291291291291291290290290290289289289289289289289289289289289289289289289288288288289288289289289289289289289289289289288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298300302304304304304304303303304302302302303302302302302302302301300300299298298298298298298297298297297296297295296298297298298297297295297297297296297296297297298297298298299298298298298297299298299298299300299299300300300300301301302301302302300300301301300301300301301301302301301300301301301300301302300302302300300300299299298297999999301302303999999999999999999999999999302301999302302300300301301302302302302302301301301301301300301302303303303304304304305305305306304305305305304304306305304304303304304305304305306305306306306306307307306307307307308307306306307306308306307306306306308309308308307305305305305305303303303303304304303305305305305305305305304303303303303303303304304304303301301302302302302302303302303302302302303302303303303303303303303303303303303303304304305305305305305305306306306305305305305306307307307307307307307309310310309307309310309310311310309309308308307306308307308307308307308308307308306306306306306306307307307306307307307307307307306306305305306305306307307308308308308307307307306306306306307307308309308308307308308308307307307307307307307307307307308308308308309308307307307307307306306306306307307307307307307307307307307306306306306306306306306306306306307306305305304304304304304304303304304304304304304305305305305305305305304304304304304303303303303303303303303302302302303303303303303302303305303303303302303303303303303303303302302302303303303303303302303303303302303303303303303303303303304304304303304303304304304304304304304304304304304304303303303303303304304304304304304304303303303303302302302302302301301301301301302302301301301301302301301301301301301301301301301301301301301301301301301301301300300300300300300300300300300299300299300300300299299299299299300300299299299299299299299299299299299299300299299299299299298298298297298297297297297297297297297297297297297297297297297297297297297297297296296295295295295295294294294294294294293293293292292292292292292292292292292292292292292292292291291291291291291291291290290290289289290290290289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298301304303304304304303303303303303303303302302302302301301301300300299298298298298298298297297297297296295297298298298297298298298297296297297298298297298297298298298298298297297298298298298299298299299299299299300300300300300300300301301301301300300300300300301300301302302302302301301300300300300301300300300299299299299299299298298999999999303303305999999999999999999999300300300999299300299300299300300302303302303303302302301302302301302303303304304304304304306305305305304303304304305304305304305305305305305304304305305306306306307307307307307307307308306306308308305307304304309306308308308308307306306305305305304304303303304304304304305303303304305304305303303303302303303303303303304301301301302302302302303302303303303303303303303303303303303303303303303303304304304304305305305305305305305306306306306306306306307307307308308308308308310310310309309309309309310310310310308307308306306306307308308307306307309308308306306306305305306305306306306307307306307307307306306306306307308307308308308308308308307307307307306306307307308308308308308307307307307306307307308308308308308308308308309309309310308308308307307307306306306307307307307307307307307307307306307307306306306306307306307307307307306306305304303304304304304304303304303304304304305305305305304305306305305305304303303303303302303303303303302303302302302303303303303303303303303303303303303303303303302302302302302303302302302302303303303303303303303303302303303303303303303304304304304304304303304304304303304304304303304304303303303303303303304304304304303303303303302302302301301301301301301301301301302302302301301301301301301301301301301301301301301301301301301301301301301301300300300300300300300300300300300299299299300300300299299299299299300299299299299299299298298299299299299299299299298298298298298298297300297297297297297297297297297297297297297297297297297297297297296297296296296296296295295294294294294294294293293293293293293293292293293292292292291292292292292292291292292291291291291291290290290290290290290290290289289289289289289289289289289289289289289289289289289289289288289288288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300304303303303302302302302302303303302302302302301301301301300300299298298298298297297297297297296297297298299299299298299297298297297298298298298298298298298298298298297298298298298298298299299299299298299299300300300300300300300300300301300300300300300301301301301302302302301301301300299299300300300299299299299298298299299299300298999999302300298299999999999999999999298300299298299298299299300300300301302303303304304303302302302302303304305307304305304306306305304306305304304304304303304304304304304304305304305305305306306305307307308308308308308308308308307307306305305309306307307308308307307306305304305304303303304304303303303303303303304304303304305305303303303302302303303305304301301302302301302302302302302303302303303303303303303303303303303303303303303304304305305305305304305305305306305306305306306307307307307308308308309309309308309308307310309310309309309309308306306306306306306307306306305307307307306306305305306306306305306306306306306304305306305305305305306306307306307307307307307307307307307307307306307308308308308307307307307307307307307306308308308308307308308307309310309308307307307307307307307306306307307307306307306306307307306306307306306306305306307306307307307307306305304304304304304304304303304303303305305304304305305305305305305305304303303303303303302302303303303303303303302303303302303302302304303303303303302302303303303302302302302302302302302302302302303303303303303303303303303303303303303303304304304304304303304304303303303304304303303303304304303303303303303303304304303303303303303302302302302302301301301301301301301301302301301301301301301301300300301301301301301301300301301301301301301301301301300300300300300300300300300300300300299299299299299299299299299299299299299299299299299298299299299299299299299299299299298298298298298298298297297297297297297297297298298298298298298298297297297297296296296296296296296296295295294294294294293293293293293293293293293292292292292292292292292291291291291291291291291291291291291290290290290290290290290289289289289290289289289289289289289289289288289289289289289288288288288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298301303303302302301302302302302302302302302301301301301301300299299298297297298297298297297297297297297298298299299299299299299298297298298298299298299298298298298298298298298298298299299299299299299299299299300300300300300300300300300300300301300300300301300301302302301301301301301300299300299299302300299299298299298299300299299299298999999301299299999999999999999999999298299299299298299299301301301302301302304304305305303303303304304304306305305305306307306307306308308305305304304304304304304304304304304304305305305306306306307307307307307308308306308307306306307306307306308307306307307307306305304305304305304304304303303304303302302302303304305305304305304303304304304302303304304304301301302302301305305301302302303302302302302302303303303303303303303302303304304304304305305305305305306305305305305305306306307306307307307308309307308309309308308308309309309308309309309308306305306306306306307306306307307308307306307306305307307306305306306307305306306306305304305306305306307306307307307306306307307308307307306306306307308308308307307307307307307307307306306307307308308308308309308309310309308307308307307307307306306307307307306308307307306307307307307307307306306306306306306306307307307306305305304304304304303303304305304304304305304305305305305305304305305305304303303303303302303303303303303303303303302303303303303303303303303303302302302302302303303302302302302302303302302302302302303303303302303303302303303303303304303303304304303303304303304304303304304304304304304304304304303303303303303304304303303303303303302302302302302302301301301301301301301302301301301301301301301301300301301301301301301301301301301301301301301301301301300300300300300300300300300300299299299299300299299299299299299299299299299299299299299299299299298299299299299299299299298298298298298298297298297297297297297297297297297297297297297297297297297297296296296296296295295295295294294294294293293293292292293293292292292292292292292292292292291291291291291291291291291291291291290290290290290290290290289289289289289289289289289289288289289289289289288288288288288288288288288288288287287287288288288288287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298302302302301301301301301301301302302302301301301300300299299298298297297297297297297298298296298298299299299299299299298298298298298297298299299299299298298298297297298298298299300299299299299299299300300300300299300300300300300300300301301302302302301301301301301302302301300301300301300300299299300298299298298299299299299299299298298297298296999999999999999999999999999300299300299300300301301303303302302304306306305304304306305305305305305306306305307307308308308307305305304304304304303303303304304304304305305306306306305307307306306307308308307305306306305305304305306305306307307306306305305305304304304304303303304302302302302302303303306304303303304305304304304304303304304301301301301301302304305305302303302302302303303302303302302302302303302303302303303304304305305305305305304305305305305305304305305305306306306306308309308308308308308308306309309309309309309308308307306306307306306307307306307306306306306306307305306306306305305305306304305304305305305305306305306305306306307307306306307307307307307306306307306307307308307307306306307307307307307307307307307308309309309309309310307308307308307307307307307306306305308307308307306306307306306306307307306306306306306306306306306306306306305305304304304303304304305305305304305304305305305305305305305305305305304303303303302302303302303304303303303303303303304304304303304304303303303302303303303302302302302302302303303302302302302303303303303303303303302302302303303304304304304304304304304304304304304304304304304304304304304304304304303304304303303303303303303302302302302302302302301301301301301301302302301301302301301301301301300301301301301300300301301301301301301300301301300300300300300300300300299299299299299299299299299299299299299299299299299299299299299298298298298298298298298298298299298298298298298298298298297297298297297297297297297297297297297297297297297297297297296296296295295295295294294294294293293293293293292293293293293292292292292292292292291291291291291291291290290290290290290290290290290290289289289289289289289289289289289289289289289288288289289288288288288288288288288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299301301301300300301301300300300301301301301300299299299299298297297297297297297297297298298297298298298298298298298298298298297298297298298298298298298298298297297298298299299299299299299299299300300300300299300300300300300300300301301301302302302301301301301302302301300300301301301300301300299300299299298299298297297298297297298297297297999999999999999999999999999999299299299299299300299999999999999302304306306305305306305305304305304304306306307307306306308307304305304304303303303303303303304304304304305305306306306306306306305306307307306306305306306305306304305305305306306305305306305305305305304303303303303303303303303302302302302305305302305305304304304304304304303300301301301302302302302301305302303302302302302303302303302303302302303302303303302303303304304305305306305305305304305305306304305305305306306305306308309307308309308309309307309308309309309309308308306306306306307307307308305308305307305306306306305306306305305305305306306306306305305306306306306306306306306307306306306306306307308307307306307307307307308308307307307307307306307307307307307308308309309309309308309309310307307307307306307306306306306306307308308307306307307307306306307307307306307306306306307306306306305305305305305304304304305305305304304304304305305306305306304305305305305304304303302302301302302303303303303303303303304304304304304304303303302302302302303302302302302302302302302302302302302302302302303302303303303302302303303303304304304304303303303303304304304304304304304304304304304304304304303303303303303303303302302302302302302302301301301301301301301301301301301301301301301301301301300300301301301301300300301301301301301301300300300300300300300300300300299299299299299299299299299299299299299299298299299299299299298298298298298298298298298298298298298298298298298298298298297297297297297297297297297297297297297297297297297296296296296295295295295294294294294293293293293292292292292292293292293292292292292292292292292291291291291291291291291291291291291291291291291290290290290291290290290290290290290290290289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295299301301301301301302301301301301300302301301300299299299298297297298297297297298298297297297296297297297297296296297297297297297298297298297297297298297298298298298298299298299298299299299298299299300299299299299299299299299300300300300301301301301301301301301300301301301301301301301300300299299299299298299299297297297297297297298297298999999999999999999999999999999999300301300301301300999999999999999999305305305304305305303305306305304304304305306306307306307307306305304304304302303303303303304304305304305304305306305305305305307305305306308308306306306306306305306306305306305305305305305304304304303304303304303303303303303302304303304303302303305302301300302305303303301301301301301303301301301301302301302302301301302302302302301301301302302302302302302303303304304304305305305304305304304305304304304304304306306308305309308308307308309309309309308308308308309309307306307307305306306305307307306306305305305305305305305305305304305304305305306306306305305305305306305306305305305305305305306306306306306307307306306306307307308307307307307307307306307307307307306307308309309309309309309309309307307306306306306306306306306307308308307307307306306306306306306307306306306306305306306306306304305304304305304304305304304304304303304303304304304305305305304304304305305304303302301302301301302302303303303302303303304305304304304303303303302302302302302302302302302302302302302302302302302302302302302302303303303302303303303303303304304304304303303303303303304304304304304304304304303303303303303303303303303303303302302302302302302301301301301301301301301301301301301301301301301301301300301301301301301300300300300300301300300300300300300300300300299299299299299299299298299299299299299298298298298298298298298298298298298298298298297297297298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297296296296296295295295295295295294294294294294294293293293293293293293293293293293293293292292292292292292291291291291291291291291291291291291291291290291291291290290290290290289290290289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298301301302301302302302302301300300300300300300299298296298297297297297297297297297297297297297297296296296296296296297297297298298298298298298298298297298299299299299298298299299299299299299300300300300300299299300300299300300300300300300300300301301301301301300301300300300300300299300298299298298298298298297297297297297298297298298300999999999999999999999999999999999999301301300300999999999999999999999999303303305303304304305307307306303303304305305306305305306304304304303302303302303303303304304304304304304304305304304306305305305306306307306305306305306305305305305305305306305306305305304304303303304304304303303303303304304304304304301300303303304304301304304303300301300301301301301301302302304304301302302301301302302302302301301301301301301302302303303303304304304305305304304304304304305304304304305305304306308306307308309308308308308309308309309308309308306306306306305305305305306306306305305305304305305305305305305304304305304305305306305306304304305305305306306305305305305305305306305306307306306306306306306307307307307307307307307306306306306306307306308308308308308308308308306307306306306306305306306306306306307307307307307306306306307307306306306306306306306306306306306305305305304305304305304304304304304303303303303303303304304305305304304305305304304303302302302301302302302303303303303303303304304304304304304304303302302302302302302302302302302301301302302302302302302302302302302302302302301302303303303303303303303304303303303303303303303303303304303303303303303302302302302302302302302302302301301301301301301301301301300300300300300300300300300300300301301300300300300300300301300300300300300300300300300300300300300300300300299299299299299299299299299299299298299299298299298298298299299298298298298298298298298298298298298298299298298298298298298298298298297297297297297297297297298298298298297297297297296296296296296295295295295295295295294294294294294294294293293293293293294293293293293293293292292292292292292292291291291291291291291291291291291290290291291291290290290290290290290290289289289289289289289289289288288289288288288288288288288288288288287287288287288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293297300301302301300302301301301300300300299299298297297297297297297297297297297297297297297297296296296296295296295295296296297297298298298298298298298298299299299299299299299299299299299300299300300300300300300300300300299300300301301301301300301301301301301301301301301299300300299299299299299299298299298298298298298296298299300300300301999999999999999999999999999999999999999999301300999999999999999999999999999302305999305307307309307306303999999303303304305305305305305305304304303303303303303304304304304304305304305305304306304305304306305306306305306305305305305305306305306305305304305304304303303303304303304303303303303304301301300302299298302302302301301303301301300300300300301301301301301301301301301301301301302300300301301301300300300301300301301302302302303303304304303303303304303303304304304304304304305306307306307309308308308308307308307308308307307308308305305305305305304303306306305303303304305305305305305304304304305304304304305305305305305304304305305306305304304304304305305305305306306306306306306306306306307307307307307306305305305305306306307307307307307308307307307307305305305305306306306306306306306306306306307306306307306306306306306306306306306305306305306305305305305304304304304305304304304303303302302302302302302303303304305304303304304304303302301301301301301302302303302302303304304304304303303303303303302302302302302302302301301301301301301302301301301301301301302302301302302301302303303303303303303303303302303303303303303304304304303304303303303303303303303303303302302302302302302302302302302301301301301301301301301301301301301301301301301301301301301300300300301301301300300300300300300300300300300300300300300300300299299299299299299299299300300299299299299298299298298299298299298298298298298298298298298298298298299299299298298298298298298298298297297297297297297297297297297297297297297296296296296296296295295295295295295294294294294294294294293293294293293294293293293293293293293293292292292292292292291291291291291291291291291291290290290290290290290290290290290290290290289289289289289289289289289289288288288288288288288288288288288288287288288288287288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296300302301301300301301301299299300300299298297298297297297296297297297297297297297297296295295295295294295296295295295296297297297297298298298299299299299298299299299299299300299300300300300300300300300300301300300300300300300300300300300301301302301301302301302300301299300299300300299299300299299298297298300299298298298299300300302302301301301999999999999999999301301301303999999999999999999301302999999999999301303999999999999999307305302999999999302304304305305305305305304304303303304304304305304304304304304305304303305306305305306307306306306306305305306306306306305305305305305305305305304305304304304304304303303303303300300301301304303303303299301301302302301301301301301301301302301301302302301301302302302301302301301301301300300301297302301301302302302302302303304305303304303303303303304304304304304304305306307306307308307306307308307307307307306307308306306306305306306304305305305304304304303304304304305304304304304304304304305305305305305305305304304305305304304305304304304305304304305305305305306306306306306307307307307307306305304305304305305306305306306307307307306306305306305305306306306305306307307306306306307307306306306307306306307306307307306307306306306306305305305304304304304304305304305304303304303303303303302303304303304305304304304304304304303303303302301302302302302303302303304305305305305304304304304303302302302303303303302301302302301302302302302302302302301302302303303303302303303303304303303304303303303303304303303303303303304304303304303303303303303303303303303303302302302302302302302302302301301301301301301301301301301301301301301301301301301301301300300301301300300300300300300300300300300300300300300300300300300299299299299299299300299300300299299298299298298298298298299298298298298298298298297297298298298298298298298298298298298298298298297297297297297297297297297297297297297297297296296296296296296296295295295295294294294294294294294294294294294294293293294294293293293293293293293292292292292292292292291291291291291291291291291291291291291290290291291291290290290290289289289289289289289289288288288288288288289288288288288288288288288288287287288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296298300301301301300300300299299300300298298298298297297298298298297297297297297297297296295295294295294294296296295296295296296297297298298299298299298298299299299299299299299299299299299299300300300300300300300299299300300300300300300301301302301301301301301301301301299301299299299299300299299298298298299299299298298298999999300301304301301301298999999999999302303302302301301301999999999999300301301999999999305305999999999999999999305302999999999303303304305305305306305305304304304304304305304304304304304304304304304304305305306306306306306306306305305306306306306306305306306305305305305305304304304304303303303300302300300303303302303303301300300304305302301300301302302301301301302302302302300301301302302302301302301301300300301300303300303301303302302302302302303304304303303303303303303304304304304304304305306307307307307306306307308308308307307307307307306305305305305305305305305304304304305304305305304305305305304305305305305305304305305305305305304304305305304304305305304304305305304305306305306306306306307306307308307306306305305304305305305304305305305306307307306307306305306306305306306306306306307307307306307306306306308306305306306307306307307307307306306306306306305305305306305305305304305304304303303303303303302303304304303303304304305304304304303303303302302302302302302302303303303305305305305305304304304304303303303303303303303302302302302302302302302302302302302301302302302302302303303303303304304303304304303303303303303303304304303303303304303303303303302302303303302303303302303302302302302302302302302301301301301301301301301301301301301301301301301301301301301301300300300300300300300300300300300300300300300300300299300299299299299299299299299299300299299299299298298298298298298298298298298298298297297297297298298298298298298298298298298298298298298298297297297297296297297297297297296296296297296297296296296296296296295295295294294294294294294294294294294294294294294294294294294294293293293293293293293292292292292292291291291291291291290290291291291291291291291290290290290290290289289289289289289289288288288288288288288288288288288288288288288287287287287287288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296299301301300300300299299299299299299299298298298297297297297297297297297297297296296295295295294294294295295295295295295296296296296297298299299298298298299299299299298299299300299299299300300300300300300300300300300300300300300300300301302301301302301302301301301301299299299299298299299298298298299299299300299299298299299299299300302303303302300297999999300301302302302302301302302999999999301302303999999999999999999999301304305304303303999999999303303304305304305305305305305305304305305305304304305304304304304304304303304304305306306306306305306305305306306306306305304305306306305305305304304304303303303303303299298301302303303303302303301300301300301301301302301302301301301301301301302301301301301302302301301301301300301303300303303302303303303305304301302302303302304303302303303302303303304303303304305305307307306307307307307308309308308307307306306306305305305305305306306306305305304305305304304304304303305306304304305305305305304305305305305305304304305304305304305305304305305305306306306307306306306307306307307307306306306305305305305305304302303304304306306306307306306305306305305305306306306306307307308306307307306306306307306307306307308307307307306307306305305306305305306305305306305304304305304303303303303302303302303303303303303304303304304303304303304302303303303302302302302303304305306305305305304304304304303303303303303303302302302302302302302302302301302302302301301302302303302302302302304304304303303303302302302303303303304303303303303304303303302302302302302302302303302302302302302302302302301301301301301301301301301301301301301301301301301301301301301300301301300300300300300300300300300300300300300300300300299299299299299299299299299299299300300299299299299298298298298298298298298298298298298297297297297297298298298298298298298298298298298298297297297297297296296296296296296296296296296296296296296296296296296295295295295294294294294294294294294294294294294294294294294293293294293293293293293292293292292292292292291291291291291291291291291291291291291291290290290290290290290289289289289289289289289288288288288288288288288288288287288288287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295299301301301300300300299299299299299299299298298297297297297296296296296295296296294295294294293294294295295296295294295295296296296297297297298298298298298298299299298299299299298298299300300300300299299299300300300300300300300301301301301301301300301301301301301301299299299299298299298298297299299300299299299299299299300301300302303304304304303298296297298299302302303302304304305305999999999304305302999999999999999999302303305305305305999305304303303304305304304305305306306305304304304304304304304304304304304304304304304304305305305305305305306306305306305306305305305306306306306306305304304304303304303304302302302302302303301302300302301300301301302302301301301302301302301301302302302300300301301301302301301300303303302302303302302302303303303304304305306303303302304302302303303303302303303303304305305305307307307307308308307308307307307307307307307305305304304305305306306305304305306305305304305304303304304304305305304305305305304305304304304304304305304304304305306306305305306306306306306307306307307307307307306307307305306306306306305303303999303304305305305306306307305307304305304305305306306306307306306306307306305306307306305305306306306307307306306306305305305305305305305306305305305304304304305304304303302302302302303303302302304304303304304304304303304303303304303303302303303304304305305305304304304304304304304303303303303303302302302302302302302302302301301302301301302302302302302302303303303303303303303303303303303303303303304304303303304304303303303302302302302302302302302302302302302302302302301301301301301301301301301301301301301301301301301301301301301301301301300300300300300300300300300300300300300299300299299299299299299299299299299299299299299299299299298298298298298298298298298298298298297297297297297297297297298298298298298298298298297297297297297297297296296296296296296296296296296296296296296296296296295295295295295295294294294294294294294294294294294294294294294294294294294293293293293292292292292292292292291291291291291291291290291291291290290291290290290290290290289289289289289289289289289289289288288288288288288288288288288288288288287287287287287287287 999999309311310311312311310308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297300301301301301301300300300300300299299299298298298298297297296296296296295295295294293293293294294295295295294295296296296296296297298297297298298298298298298299298298298298298298300300299299299299299299299299300300300300301301300301301301301301301301300300301299299299299298298298298299299298299299299299299299300299300300999999999999999999999297297297298300303302301999999999302303303999999303304303301301303999999999999999303303304305305305305304304304305305305305305306306305304303303303304303303304304304303303303303303305305305304305305305306306306306306305305305306306307306306305305303303303303304303303302301302303302301302301301300300300301302302301301301302302303303301301300302302301301301301301301302301300303303303302302303303302303303303304304304303304304304303302301302303303303303304304305306305307308307306307308308308308307307307307306307307306305304305305306306305306305305305305304304304304303304303303304304305305305303305304304303303304304304304304305305305306305306306306306307306306306306307307307307306307306305305306306306305302999303303305304303304304306306306305304304304305305306306307307306306306306307307306306306305305305306306307306305305306306305306305305305305306305305304304304303304304303303303302302302303303302302303303304304304305304304304304303304303303303303303304304305305305305304304304304304304303303303303302302302302302302302302302301301301301301301302302302302303303303303302303303303303303303303303303303303303303303303303303303302302302302302302302302302302301302302302302301301301301301301301301301301301301301301301301301301301301301301301301301301300300300300300300300299300300299299299299300300300299299299299299299299299299299299299299299299298298298298298298298298298298298298297297297297298298298298298298298298298298298298297297297297297297296296296296296296296296296296295296295295295296296295295295295295295295295294294294294294294294294294295295295295294294294294293293293293293293293293293293292292292291291291291291291291291291291291291290290290290290290290289289289289289289289289289289289288288288288288288288288288288287287287287287287287287287287 309307308308309310309309307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298292296299300301301301301300300300300299300300299299299299298298297297297296296296295295295295294294294294294294295295295296295295296296297297297298297297298298298298298299298299298298298299299299299299299299299300300300300300301301301300300300300301300301300300299300300299300299298298299298299298299299299299300301299300300300300298300999999999999999999999298300302303304302999999999301304303303999999303303302302301999999999999999305303303303304305304304304304304304305304305304304304305304304304303303304303303303303303302303304305304304305304305305305305306306305306306306307307306307306305305303304304303303303300302301302301301302301300301301302301301302302301302302302301302303302301302302301301302301301301301301300300304302302302302302303302302303303303303303304303303303302302302303303303304303303303305305308307307307306307307307307308307307307306306306306305305304305306305304305305305305305305304303304304303302303303303304304304304303304303303303303303303304304304304305305306306306306306306306306306306305306306307307307306306306305305306306304999999304304303304304304304305306304304304304304304305305306306307306306306306306306306305305305305305305306306306305306306305304305306305305305305305305303305304304304303303303302302302302303303302302303303303304304305304303304304304303303303303303304304305304304304304303304304304304304303303302303302302302302302302302302301302301301301301301302302302302302303303303303303303303303303303303303303303303303303303303303302303302302302302302302302302302301301301302301301301301301301301301301301301301301301301301301301301301301301301301301301301301300300300300300300300299300299299299299299300299299299299299299299299299299299299299299299299298298298298298298298298298298297297297298297297297297298298298298298298298298298298298297297297297296296296296296296296296296296296295295295295295296295295295295295295295295295295295295294294294294294294294294294295294294294294294293293293293293293293293293293292292292291291291291291291291291290290290290290290290290290289289289289289289289289289289289289289289288288288288288288288288287287287287287287287287287287287 309307308307307308308308307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290294297300301301301301301301301301301300301300299299299298298298298298297297297296296295296295294294294294295295295295295296295296296297296297297297297298298298298298298298298298298298299299300299299299300300300300300300301301301301301300300300300300300299299299299299299299297298298298298299298298298299300300300300299298299300301302999999999999999999999999301302305304302300999299302303303304999999303303302302300300999999999999999301299300302303303304304304304304305305305305304304303304303303304303303302302303303303302303304304304304304303305304306305306306306307307307308307307306306305305304304304303303302303303302302302301301301300302302301301301301301302302302302303303303301301302301301301301301301301301300303302302303302301302302302302302302303303302303303303303304303302302305303303304303304303307306307306306306306307307307306307307307306306306306306306305304304305306304305305305304304304303303303303303303303302303302303303303303304303303303303303303304304303303305306305306306306306306306306306305306306306307307306306306306305305304304302301302303303303302303303303304304303304304304304304304305306306307306307307306306305306305305305305305305306306305307306306305305305306305305306306304304306305305304304304303302302302302302303303303303303303304304305305305304304304305304303303303303304304305304304304303303304304304304304304303302302302302302303301301302301301302301301301302302302302302302302303303303302303303302303303303304303303303303303303303303303302302302302302302302302302302302302301301301301301301301301301301301301301301301301301301301301302302301302302301301301301301301300300300300300300300300300299299300300300300299299299299300299299299299299300299299299299299298299298298298298298298298298298298298298298298297298297298298298298298298298298298298297297297297296296296296296296296295295295295295295295295295295295295295295295295295295295295295295294294294294294294294295294294295294294294294294293293293293293293293293293292292292291291291291291291290291290291290290290290290290290290290290289290289289289289289289289289289289289288288288288288288288287288287287287287287287287287 999308308308308308308308307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293296298300301301302302302302302302302301301300300300299299299299299298298298297297297296296295294295295296295295295296295295296296296297297297297297297297297298298298298298298297298298299299299299299299300300300300301300300300301301300300300299299300299299299298299299298298298297298298299298299299299300300301299298299300300300301301299999999999999999999300999300302303302300301301303304304304302302302302302301299999999999999999299301303303302303303304304305304304304305304304303303304304305303303303302302302303303303303303303303303303304304305305306306306307307308307307307306306305306306304304303303303302302303302301300300300300301301301302302302302302302303303303303303303302301302301302302302301301303303302303302303303302302302302303303302303303305304304303303303304303302303305304303304304305304306305306307306306304307307306306305306305306306305307306305305304304305305305304305305305304304304303304303302303302302301301301302302303302303303303303304303304304305305305305306306306306306305305305305306306306306306306306305305305305305304302301302302303303302303303303303303303303304304304304304304305305306307306307306306306305305305304304304304305306305305305305306306305305305305306305306304306305304304305304304303303302303303302303304303303303304304305305305304304304304304304304303304304304304304304304303303303303303304304304303303303303302302302301301300301302301302302301301302302302302302302303303303303303303303303303303303303303303303303303303303303303302302302302302304302302302302302301301301301301301301301301301301301302301301301301301301301301302302301302302302301301301301301300300300300300300300300299299300300300300300299299299299299299299299298299299299299299299299298298298298298298298298298297298298297297297297297297298298298298298298298298298298297297297296296296296296296295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294295295295295295294294294294294294294293293293293293293293292292292291291291291291291291291290291290290290290290290290289289289289289289289289289289289289289289289289288288288288288288288288288287287288288288288288288 999308308308307307307307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293297298299301302303303303303302302302302301301301300300300299299299298298297297297296295295295294294294296296296296296296297297296297297297297297297296296297297298298298298297297298298298299299299299299299299299300300300300300301301300301300300300300298298299298298299298297298298298299299299299299300299300300298298299300300301301300300999999999999999999999999301303303302301300301302303303303303304304302999300299999999999999999999999302301302302303303304303304305304304304304304302303304303303303303302301303303303302303303303303303304304304305305306306307307308308307307307306306306305305305305304303303302303302302301300300301300300301302302303302302303304303303303303303302301301302302301302304303303303303303303303303302301302301302303303302302304305302303302303302303303303303305304304304305304305307307306307305307306306306306305305305306307306306306306306304303304305305305304305305304305305304304303303302302302301301301301302303303303302303302302303303304305305305305306306306306307306305305305306306306308306305306305305305304305304303302302303303303303302302303303303303303303303304304304304304305306306306306306307306306306305304304305304305306305305304305305305306304305306305305305304304304304304304305305304304303303303302303303304304303303303304305305305304304304304304304304303304304305305304304304303303303303304304304304303303303303302302302301301301301302301301301302302302302302303303303302303303303303303303303303303303303303303303303303303303303302302302302302302302302302302302302301301301301301301301301301301301301301301301301301301301302302302302301301302302302302301301301301301301301300300300300300300300300300300300300299299299299298299299299299299299299299299298298298298297297298298298298298298298297297297297297297297297298298298298297298297297297297296296296296296295295295295295295295295295295295295295295295295295295295295295295295295295294295294294294294294295295295294294294294294294294294294294293293293293293293293292292292291291291291291291291291291290290290290290290290289289289289289289289289289289288288288288288288288288288289288288288288288288288288288288288288288288 999307308308308308307307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295299300300302303303303302302302302301301300300299298297297296296296296295295294294293293293294293294294295295295295295295296296297296297297297297297296297297297297297298297297297297297298298298299298299299299300301300300300300301302301301300299299300299299299299298299298298298298299299299299298299299301301301301300301301301300301301302302999999999999999999999300302301302300300300301301302302303304303304304301300300299999999999999309999301302303303304303305304305303304304304303304302303303303303303301302302302302302302303302303303304304305305306305306306307308308307307307306305306305305306304304303303302304303302301300300301301301301301302303302302303303303303302301301302301301302302300303303303303303303303303303302302301301301301302302300300302302302301301303303302304303302303304303303303304307306306306306307305306305305305305305305305306306305306306305304303304304304304305305304304304304305302303302302302301302301301301301302303303302302301302303303304304304304305306306306306307306305305305305306306307305305305305304303304304303302302302302302302303303303303303303304303303303303304304304305305305306306306306306306305305305304304304305306306305305306305304306305305305305305305303304304304304304305305305304304304303303303304303303303304303304304305305305304304304304304305304304304305305304304304303303303302303304304304304304303303303303302302302302302300301301301302302302302303302302303303303303303303303303303302303303303303303303303303303303302302302302302302302302302302302301302301301301301301301301301300300300301301301301301301301301301301301301301301301302302302302302301301301301301300300300300300300300300300300300300299299299299299299298299299299299299299299299299298298298297297297298298298298298297297297297297297297297297298297297297297297297297297297297296296296296295295295295295295295295295295295295295295295295295295294295295295295295295295294294294294294294294295295295295295294294294294294293293293293293292293293292292292292291291291291291291291291291291291290290290290289289289289289289289289289289289289288288288288288289289289289289289289288288288288288288288288288288288 306306307309307307307307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300302302303303303302302301301300299299298297296295295294294293293293292292291290291291292292293292292292293293293293293294295295295295296296296297296296297297297297297297297297297297298298298299299299299299300300300300300301301301301301300300300300300299299298299298298299299299299299299299299300300300302301301301300301301300300302301300999999999999999999999300301301299300299300301302302302303303303304304305305301301301301299299308999299301303303303303304304304304302304305305304303303303303303303302302302302302301302303302302303303304305306305305305306307308308308307307306306306305305305305305304303302302301302302302301302302301302302303302303303302302303302301301301302302301301301300303303303303303302303303303303303301301302301301301300301301302302303302303303303303303304303303303304304305306306306306306305306306305305305306304305305305306305305305303303303304304305305304305304304304305304305303304302301303301301302303304303302302302301301302303304305306305305306306307306307306306305305305305306306306306306305304304303304303303302302302302302302303302302303304304304303303303304304304304305305305305306306306306305305304304304304304306306305305305305304304306305305305306305305304304304305305305305304305305304304304304304304304304304305304304305304305305306305304304305304304304304303303303304303303303303302303303304304304303303303303302302302302302301301301301301301302302302302302303303303302302303303302303302302302302302302303302303302302302302302302302302302302302301302301301301301301301301301301300300300300300300300300301301301301301301301301301301301302302302302301301301301301301301300300300300300300300300299299300299299299299299299298298298299299299299299299299299299298298298297297298298298297297297297297297297297297297297297297297297297296296297297297296296296296295295295295295295295295295295294294295295294295295295295295295295295295295295295295295294294295295295295295295295295294294293293293293294294293293293292293292292292292292292292292292291291291291291291290290290290289289289289289289289289289288288288288289289289289289289289289289289289289289288288288288288288288288288 308306306309308307308307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305299301303303303302302301301300299298297296296296296295295294294294293292292292291291291291292292291291291291292292292292292292293293293293293294295295295296295296296296296297297298298298298298298299300299299299299299300300300300300301301300300300300300299299299298298298298298299298299299299299299299299300301301300300300300300300300302301299999999999999999999999301303303301301301300302302301302302303303304304305304301302302300299999999999298299298301302303303303303304303304304305304304303303303304303303302302301301301301302302303303304304305305305305305306307307308307307307307307306306305304304304304304302301302302303304302303302302302302303303304304302303305301301301302302301301300304303302303303303303303303303303302303302302301301298298301302302302303302303303303303304302303304303303307304306306306306306305305305305305305305306305306305305305305305304303303303304305304305304304304305305304304305303303304303302302303303302304303302302302302302303304304306306306306307307307306307306306306306305305306306306305305304304304303303303302302302302302302303303303303304304304303304303304304305304304304305305305305306305306304304304304304304305305306304306305305305305305304304305306305305304306304305304305305305305304304305304304304304304304303304304305304304305305305305305304304304304304304304304303303303302302302302303303303303304303303303302302302302302302302301301302302301302302302302303303303303303303303303303302302302302302302302302303302302302302302302301301301302302302301301301301301301301301301301301300300300301301300300300300301301300301301301301301301301301301302302301301301300301301301300300300300300300300300300300299299299299299299299299299299300299299299299299299298298298298297298297298297297297297297297297297297297297297297297297297297297296296296296296296296296296295295295294295295295295295295295294294294295295295295295295295295295295295295295295295294294294295295295295295295294294293293293293294294293293293293293293292292292292292292292292291292292291291291291290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288289289289 308307307309309308307308307999306308306999999999306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310300299302303303302301300300299298297296295295296295295295295294295294294294293294293293293292292292292292292293293293293293293293292293293293293293294294295295295296296296296296297297297297298298298299300300299300300299299300300300300300301300300300300299299298298298298299299299299299299299299299299298299300300300301301300300301300301300300299297999999999999999999302303301300300298301301301302302303304304304304304304303302303298300299999999296295291298300301302302301303303303304304304303303303304304303302302302301301301301302302302302304305305306305305305306306307307306306306306306306305305304304303304302302302302303304303304303303302301303302304303303304301302301301301301300300303303303303302302302303303303303302302302302302302301302299301303302300301301302302302303303303302303304304303307306306306306307306305305305305305305305304305304305305304305305304303304303305304304304304304304304304304305304304303303303301301303303303304304304303303302302303304302306306306306307308308306306306305306306306306306306305305304304304303303303302302302302302302302302303303303304304305303303304304304304304304304304305304305305305304304304303303303304304305305306305305305304304303304304305305305306305304304305305304304305305305304305303303303303304303304304305305304305305305305306305304304304304305304304303303302302302303303303303303303303304303303302302302302302302302302301301301301301301301301303302303303303303303303303303303303302302301302302302302302302302302302302302302301301301301301301301301301301301301301301300300300300300300300300300300300300300300301301301301301301301302301302301301301301301301301300300300300300300300300300300299299299299299299299299299299300299299299300299299298298297297298297297297297297297297297297297298298297297297297297297297297296297296296296296296296296296295295294294294294294294294294294294294295295294295295295295295295295295295295295295295295295294294294294294294294294293293293293293293293293293293293292292292292292292292292292292292291291292291291291291291291290290290289289288289289289288289289289289289289289289289289289289289289289289289289289289289289289289289289 306307307308308308308308307306306306306306306306305305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305301299301302302301300299298297295294294295295295295295295295295295295295295295295295295293293293293293293293294294293293294294294294294294294294294294295295296296296296297296297297297297297298298299300299299300299300299299299299300299300300300299299299299299298299299298299299299299299298298298299299299299300301301301300301301301300301300300300298999999999999999999300301300299299999301300300300302303304304302303302301302302303999300300294999293292299300301302303303301999302303304304304303303304304304303302302301301301302302301302302302304303305305305306305306306306306306306305306305305305305304304304304303302303303302304304303301302302303303302302302302303303303302302302301300304304304303303302302302302302303303303302302302302303302299300301302302302303301301301302302303303302303305305304304304305306306305306305306305305305305305304305304305305304304304304303304303304303304304304305305305305304304303304303304303303302302303303303304303302302302302302304305305305306306307308306307306305305306306304307305305305304303304303302303303302302302302302302302303302303303304304304304303303303304304304304304304304304305305304304304304304303303303304305305304304304305304304303304304305305306305305305304304304304304304304304304304303303303303304304304305305305304305305305306305305304304304305304304303302303302302302302302303303302303303303303302302302302302302302302301300300301301301302302301302302303303303303303303302302302302302301301301301302301301301301301301301301301301301301301301301301301301301301300300300300300300300300300300300300300300300300300300300301301301301301301301301301301301301301301301300300300300300300300300300299300300300299299299299299299299299299299299299299299298299298298298298297297297297297297297297297297297297297297297297297297297297296296296296296296296295295295295294294294294294294294294294294294294294294295295295295295295295295295295295295295295294294294294294294294294294293294293293293294293293293293293293293293293292292292292292292291292291292291291291291291290289290290289289289289289289288289289289289289289289289289289289289289289289289289289289289289289289289289289 305307307307307308307307307307307307307306307306305305304306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299300301301300299297296294293293294294295295295295296296296296296296296296295295295295294294294295294294294294294294295294294294294294295295295295296296296296296297297297297298297298298297298299299299300299299299298298299299299298298299299299297298299298298299298298298298300299300299298299299299298299299300300300301302301301301301300299299299299999999999999298298299299299298999299299300300999304304303302301301302999999302302999299294290290290999999999999999999999999999999302304303303303304304304303303302302302302302303302302302303304305305305306305305306306305305305305305304304305305305304304306303303303303304304305304302302303303302302302302302301302302301302302305305304304304304304303303303302302302302302303302302302302302301302303302301303302302300301301302301302302303302304304304304304306306306305305305305305305305304304304304304305305305305304304304303303303304304304304304304305305304304303304304304303303302303303302302304302302302302302303304305305305305305306306306306306306306305304304304305305304304303303303302301302302301301301301301302302303303304304304304303303304304304304304304304303304305305305305305304304305305305305305304304305304304304305305304304304304304305305305305305305304304304304304303304304304305304304305305305305305304304304305306306304305304304304305305304303303302302302302302303303302302302302302303302302302302302301302302300300300301301301302301302302302302302303303302302302302301302301302301301301301301301301301301302301301301301301301301301301301301301300301301300300300300300300300300300300300300300300300300300300300301301301301301301301301301301301301301301300300300300300300300299300300299299299299299299299299300299299300299299299299299299301299298298298298297297297297297297297297297297297297297297297297297297297296296296296296296296295295295295295294294294294295294294294294294294294294294294295295295295295295295295295295295295294294294294294294294293293294293294293293294294293293293293293293293293292292292292291292292292291292292291290290290290289289289289289288289288288288289288288288288288289289289289289289289289289289289289289289289289289289290290 304307307306307308308308308308308308308308307308305305305305306307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301296297299300299298296294293292292293294294295295295296296297297297297297296296296295295295295295295295295295295295295295295295295295295295296296296296296296296296297297297297298298298298298298298298298299300299299298298298298298298298298299299299299299298298299298298298298299300300299299299299299299299300299301301301301303302301301300299298298298299299999999999296297299299298999999298299299300999999301301300301301302999999999301301298295292290297999999999999999999999999999999302302303303303303303303302302302302302302302302303303303303304304305305305305305305305305305305305304304304304304305305305306307305305307303303303303302302303303304302304301302302302304301305305304304304304305304304304304303303302302302302302302298302301300301302302304303304304302300301301302301302301303303304304304304303306306306305304305304305305304304304304304304304305305304304304303304303304304304304304305305304304304305304303304304303303303303303303303302302303303302303304304304305304303304306306305305305305305304304304304304306304303303303303302301302301301301301301301302302303304304304304303304303304304305304304305304304304305305304305304305305305305305304305304305305305304305304305306305304303304304304305305305305305305304304304304304305305304303304305305304304304305305305305305304305305305304304305304303302302302303301302302302302302302302302302302302302302302302301301301301300301301301301301301302301301302302302303302302303302302301302302301302301301301301301301301301301301301301301301301300301301301301300301300300300300300300300300300300300300300300300300300300300301301301301300301300301301301301301301301300300300300300300300300299300300299299299299299299299299299299299299300299299299299299298298298298299297297297297297297297297297297297297298297297297297297297297296296296296296296296295295295295295295294294294294294294294294294294294294294295295295295295295295295295294294294294294294294294294294293293293293293293293293293293293294294293293293293293292292292291291292292292292291291291290290291290290289289289289288288288288288288288288288288288289288288289289289289289289289289289289289289289289290290290 304307307307307308308308307307307307308309307306305305304306305306304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300295297298298297295294292292292293293295295296296296296297297297297297297296296296295295295295295295296295296296296296296296296296296296296296296296296297296297297297298298298298298298297297298298297298299298298298298298298297297297297300300301299299299298297297298298299299300299299300299299300300300300300300300300301999301300300300299299299299299299299999999294296297298298298298297299299300301301299299299299301301999999999999999300296296295294299304999999999999999999999999999999301303303303302303302302302302302302302302303303303304304304305306306305305305305305305305305304304304304304305304305307305305306306305304304304304303303303302303304301302302302305304304304304304304304304305304303302303302302303302302301302302301302302304300302302302303302302302301301301301300300303303304301304303304304306306306305304304304304304304304303304304304304305304304304303303304304303303303304305305305305304304303303303304303303303303303303301303302303303303302303304304304304304303304305304304305305304304305304305304304304303303302303302302301302301300300300301302302303303303304304304304304303304304304304304304304304304304305304303304304304304305305305305305305305305305304306304306305304304304304305305304305305306305305305305305305305305305304304303304304304304305305305305305304304304305304303304303303302302303304302301302302302301301301301302302302302302302302301301301301301301301301301301301302302302302303302302302302302302302302302302301301301301301301301302301301301301301301301301301300301301301301301301300300301300300300300300300300300300300300300300300300300301301301301301301300300301301301301301301300300300300300300300300300299299299299299299299299299299298299299299299298298298298298298298298297298298297297297297297297297297297297297297297297297297297297297296296296296295295295295295295295295295294294295294294294294294294294294294295295295295295295295295295295294294294294294294294294294294293293293293293293293293293293294294293293293292293293292292292292292292291292292291291291290290290290289289289289288288288288288288288288288288288288288288289289289289289289289289289289289289289289289290290290 305306306307307308308308307308307307306307306306307307306305305305307309305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294296297296295293291291291291293294295296297297297297297297298297297297297297296296296296295296296296296296296296297297297297297297297297297297297296297297298297298298298298298298299298298297297297298298299298299298298297297297298299299299298300300299298298297297298298298299299299299299299300299299299299299299300300999999300299298299300300298299299297295296295296298298298297297298299300300301300299299299300300300999999306307999999999295294292295302999999999999999999999999999999999303302302302302303302302302301302302303303303303304304305305305305305305305305305304304304303303303304304304304305305304305305305305304304304304304304304304302303302301302305305305305305305304305305304304304304303302302302302302302301302302299298300300301302302303302302301303302302302302301301303304303302304305305304306306305305304304304304304304304303304304304304304304304304304304304303303304303304304304305304304304303303304303303304304303303303303303303303302303303303304303304305305305305305304304304304304304304303304303304303303302302303302302301302301301301301302302302303303303303304304304304304304305304304303303304304304304304304304305304305305305305305305305305306305306306306306305306304304305305305305305305305305304305305305305305306306305304304303304305304304305306305304304304304303303303303303303302302302304303302302301301302302302301301301302302302302302301300302301301301301301301301301301301301302302302302302302301301301301301301302302301301301301301301301301301301301301301301300300300300300301300300300300300300300300300300300300300300300300300300300300301301301301301300300300300300300301301301301300300300300299299300299299299299299299299299299299298299299299300300299299298298298298298298298297296297298298297297297297297297297297297297297297297297297297297297296296296295295295295295295295295294294294294294294294294294294294294294294294295295295295295295295295295294294294294294294294294294293293293293293293293293293293293293293293293293293292293293293292292292292292292292291291291291290290290290290289289288288288288288288288288289289289288288288288289289289289289289289289289289289289289289290290290 306306306307307307307307308308307307307307305307307306306305306305306999310309309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293294294294292291290290290292293294295297297298298298298297297297297297297297297296296296296296296296296296297297297298298298298298298298297298298297298298298298298298298298298299298298298297297297297297298298298298298297297298299298299299299299299298297298297297298298299299299298298298299299299298299299299299300300301999999999298300299300299299299298297297297296297297298297297297300300300300300299300300300300300999301303305999999999999293292297301303306999999999999999999999999999303302302302302303302302302302302302302303303302303304304304304305305304305304304303304303303303303304304304304305304305304304304305304304303303303303304302303303303302302303304302305304304305305305305304304304304303303303302302302302302298298299299301300300302302302302302303302303302303301301303303303306305305306304305305306305305304304303304304304303304303304304304302303303303303304304304304303303303303303304305303304304304303304303304304303303303303303303303302302302303303304305306305305305304304304304304303303303303303303302303302302303302301301301300300300301301302302302302303303303304303303304304304303303303303303304304304304304304304304305304304305305305305305305306305305305305304305305305305304304304304304304305305305305305305306306306306304303304303304304304305305305303304303304303303303303303303302302301303302302301301302302302301301302302302302301300300300300302301301301301301301301301301301301301301301301301301301301300300301301301301301301300300301301302301301301300301300301300300300300300300300300300300300300300300300300300300300300300300300300300300301301301301301300300300300300301301301301301301300300300300299299300300299299299299299299299299299299299300300300299299299299298298298298298297297297298298297297297297297297297297297297297297297297297297297296296296295295295295295295295295295294295295294294294294294294294294294294294294294294294294294294294294294294294294295294294293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292291291291291291291290290290290290289289289288288288288288288289289289289288289289289289289289289289289289289289289289289290290290289 307307307307307307308308307308308307307306306306306307306306305306306307308308309307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288291292293292290289289289291292293295296297297298298298298298298298298297297297297297297297297297297297297297298298298298298298298298298298298298298298298298298298299298299299299299299298298298297297297297298298299299298297297298298299299299298297297297297297298298298298299298298298299298299298299299299299299300300301300302302300300300300300299299299298298298297295296298299297296298299299300301300301301302301301300300301302304305999999999292294299300302304308999999999999999999999304303303303302303303303303302302301302302302303302302303304304304303303303303304304303303303303303303304304304304304304304305305304304304304304303303302303303303302302302302303303302302302305305305305305305305305304304304303303302302302302299297299299301300300301302302301302301303303303303303302301302303306304306304304305305305305305304304304304304303303303303303303304302303303302304304303303303302304304303303303304303303303304304304304304304304304304303304303302302302302304304305305306304305304304303304303303303303303303303303303302302302302301302301301301300301301302302303302302303303303304304303303303303303303302303303303302303303304303304304305304304305305304304305305305306305305305305305305305305305303304304305305305305305305305305305307306306305304304304303304305304305305304303304303303304305304303302302302303303302301301302302301302301302302302302302301300300300300300301301300301301301301300300301301300301301301301301301301300300302301301301301301300301301301301301301301301301301301300300300300300300300300300300300300300300300300300300300300300300300300300300300300301301301301300300300301301301301301301301300300300300300299300300300299300300300300299300300300299299299299299299299298298298298298298298298296297297298298298297297297297297297297297297297297297297296296296296295295295295295295295295295295295295295294294294294294294294293294294294294294294294294294294295294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293292292292292292291291291291291291290290290290290290289289289289289288288288288288288289289289289289289289289289289289289289289289289289289290290290290290 307307308307307307307308308308308308307306306306307308307306307306307306307308307305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290289291290290289288288290291292294295296297297297297297297297298298298298298298297298297297297297297297297298298298298298298298299299298298298298298298298299298298299299299299299299299298298298298297298299299299299298298298299299299299299298298298298298298298298298299299299299299299299299299299299299299300300300300302999300302301299299299300299299299299298298298296297297298298999298297299300302302301303304304301299301302303303303303301999292296299300301303305308999999999999999999304303303303303303303303303303302302302301302303302303304304304304303303303305303303303303304304303304304304304304305305305305304304304304304304303302303303303303303303303303303302302303302305305305305305305306305305304304304303302302302302299299299300300300302303303302301302304304304303304301301301303304303305304304305305305304305305304305305304303303303303304303303303303302302303304303303303303302303303303304304303303302304304304305304304305305304305304304303302302302303303305305305305305305304303303303303302302302302303303302302302302301301302302301301301301301301301302302302302302303303303303303303303302302303303302302303303302302303304303304303304303304304305305305305305306305305305305304305305305305304304304304305305305304305306306305306306305305304304304305304304304304305304304303303303303304303302303303303303302302301302302302302302302302302302302302301301300300300302301301301300301300300300300301301301301301301300300300301300301301301301301301301300301301301301301301301301300301300300300300300300300300300300300300300300300300300300300300300300300300300300300300300301301301301301301301301301301301301301301300300301300300299299300300300300300300300300300300299299299299299299299299298298298298298298298297297297297297298298297297297297297297297297297297297296296296296296296296296296295295295295295295295295295294294294294294293294293293293293294294294294294294294294294294294294294294294294293293293294293293293293293293293293293293293293293293293293293293292292292292291291291291291291291291291291290290290289289289290289289288288289289289289290289289289289289289289289289289289289289289289289289289290290290290 306306307307307307308307307307308307307306306307307307306306305305307306305307306305306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288289289288287287288289291293294296296297297297297297297297298298298298298298297298298298298298298298298299299298299299299299299299298298298297298298298298298299299299299299300300300299298298298298299300300301299298298299299298299299298298299299298299299298298298299299300300300300300299299299299300300300301300300301999300301301299299299299299300300300299299299298297299299299299999999999303304303304305306305303301302304303302303302302301296296300301302305306309309305999999999999304302304304303304303303303303303302302302303304304304303304303304304303303303303303303304304304304304304304305305305305305305305304304304303303303303303303303303302303303303303303304303302305305306306306306306306306305304304303303302302300300300301301300301302303303303303303303304303303302302301301301305304304304305305305305306305305304304304304303303303303303303302303303303304304303304303303303302302303303303302303304303304304304304305305305305305305304304302303302303303304305305305305305304304303303303302302302302302302302302302302302302302302302301301301301301301301302302302302302302302303303303303303303302303303302302302302303302303304304304304304303304304304304305305305305304305304306305304304305304304304305304305305305305305306306305305305305305305304305305304305304304304304304304303304304304304303303303303302302302302302302302302302302302302302302302301301300300300300301301301300301301301300300301301301301301301300300301301301301301301301301301301301301302302302301301301301301301300301301300300300299299300300300300300300300300300300301300300300300300301301300301301301301301300301300301301301301301301301301301301301300300300300300300300300300300300300300300300299299299298299299299298298298298299298298298298298297297297298298297297297297296297297297297296296296296296296296296296296296295295295295295295295294295294294294293294293293293293293293293294294294294294294294294294294294293294294294294294294294293293293293293293293293293293293293293293293292292292292292291291291291291291291291291291291291290290290290289290289289289289289290290290290290290290290290289289289289289289289289289289289289289289290290290 306306306307307307307307307308307308308307308307307306306306306306306305306999307307310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282286287287287286287288290292294296296297297297297297297298298299299299298298298298298298298298298298298298299299298299299299299298299299299298298298298298298299299299300300300299300300300299299299299298299300300300300300298299299299298299298298299299299299299300300300301300300300300300300301300300300300301301301301302301301301301299298298298299299300299300300300300300299300299300300999999999306306306306306305305305304304304303301302302301301302303305999307307308305305999999999999306303303304303303303303303302302302302302303303303304304303303304304303305303303304303303303303304303303304304305305305305305304304304303303302302302303303302302302302303303303304304304303305305306306306306306306305305304304304303300302302300299300300301301302302303304304304305306305303303302302302302303304304305305304304305305305305304305304304304303303304303303303303303304303303303303303302303302302304303303304304303303304304304305305305305305306305304303304303303303304305305305305305305305304304303303303303302303302302302302302302303303303302302301300301302302302301303304303302302302302302304303303304304303304303303303302303303303303303304304304303304304304303305304305306306305305305305305304304305304305305304304305305305305305306305306305305305305305305305304304304304305305304304303303303304303303303303303303303303303302302302302302302301302303303303302301301300301300302302301300300300300300300300302302301301301301300300301301301301301301301301301302301301302302301301302301301301301301301301300300300299299299299299300300300300300300300301300300300300301301301301301301300301300300302301300301301301301301300301301302301301300300300300300300300300300300300300300300300300300299300299298299298298299299299298298298298297297298297298298297297296297296297297297297297297296296296296296296296295295295295295295295295295294294294294293293293293293293293294293293294293294294294294294294294295294294294294294294294293293293293293293293293293293293293293293293292292292292292292292291291291291291291291291291291290290291290290290290289290290290290290290290290290290290290290290289289289290289289289289289289289289289290290290 306306306306307306308308308308309308308307307306306306306306306305306306306305306306310311999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282283286286286286286287289291294296296297297297298298298298298298299298299298298298298298298298297298298298298298299299299299299299299298299298298298298299298299299299299299300299299299300300299299299299299300299298298299299299300298299299299299299300300301299301299299299300301300300301301301301301301301300301302302301302300301301300299298298298299299299299301301302302301301300302301301999999999999302308999308309309308303305304304302302302302301302304305999999306307305999999999999999303303303304303303303303303302302302303303303303303304304304304304303304303303304303303303303303303303303304304305305305305305304304303303303302303302302302302302303303303303303303304304305305305306306306306306305305305305305304304302301299299301301303302302303302303304306306306305305303304303303302304305304304305306305306305304305305304305304303304304303303304303303303303303303302303302302301303302303304303304304304303304305305304305306306306306306305305304304303304304305305305305305305305305304304303303303303303303303303303302303303303303303302302302302302302302303303303303302303302302302302303303303303304303303303303303303304303303304304304304304305303304304304304304304305305305305305304305304305304304304304304305305305304304305305305305304304305304304305304303303304305305305305304304303303303304303304304302303303303303302302302302302302301302303303303303302301301301302301302301301301301300300301301302302302301301301301301301302301301301301301301301301301301301302301302302301301301301300301301300300299299299300300300300300300300300300300301300301301301301301301301301301300301300302303304302300301301301301300301301301301301301300301300301300300300300300300300300300300300300300299299298299299298299299299298298298298297297297297297297297297297297297296297297297297297296296296296296296296295295295295295295295295295295294294294294294294294293293294294293294293294294294293294294294294294294294294294294294294293293293293293293293293293292292293293292292292292292292292292292292291291291290290290291291291291290290290290290291290290290290290290291291290290290290290290290290290290290290289289289289289289289289289289290 306306306307307308308308309308307307307307307306306306306305304304305305304305307307307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281284285285286287287288290293295296296297298298297298298298298298299299299299298299298298298298298298298298298298299299298299299299299299299298299299298299299298299299299299299299299300300299299298298298299299299299299299299299298298298299297298298298298298299300300301301300301300301301301300301301300300300301301301301299300300301299298298298299299300300301301301301301300301301302301300999999999999999999999999999999303304303303302302301303303302302305999999303305306305999999999999999999302303304304304303303303302302302303303303304303304304304304304303304303303303303304304304303303303303304304304305305304304303304303303302302302302302302302302302302302303304303303304304305305305306306306306305305306304305304304299301301302301301301302302302303304305305305305305305304304301304304305305305306306305305305305304305304304304304304303304304304304304303302302303303303302303303302303303304304305304304304304304305305306306306306306307307306305304304305305305305305305306306305305305304304304303303304303303303303303303303303303303303303303303303302303303304304304303303303302302302302302304304304303303303303303303304304305305302303304304304305304305304304304304305305305305305305305305304304304305304304305305305304304304305305305305305304304304305304306304303303305305305305304304303302303303305304303304303303303303303302302302302302301302303303303303302302301301302301302302301301301301301300301302301302302302302301301301301301301301301302301301300300301301302301302301301301301301300301301300300299300300300300300300300300300300300301300300301301301301301301301301301301301301301303303301300301301302301301301301301301301301301301301300300300300300300300300300300300300300299299299298299299298299299299299298298298298299298297297297297297297297297297297297297297297296296296296296296295295295295295294294294295295294294294294294294294293294294293293293293293294294294294294294294294294294294294294294294294293293293293293293293293293293293293293293292292292292292292292292291291291291290290290291291290290290290290290290290290290290290291290291290290290289290290290290290289289289289289289289289289288288288289289289 306306306307308308309308308307307307307307307306306307306306305305305304304304305306305306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281283285287287288288289290292295296296297297298298298298298298298298298298298298298298298297298297298298298298298298298298298298298299299299299299299299299299299299299299299300300300299299300300299298299297299300300299299299297300298299299298298298298298298299299300300300300300300301301301300301300300301300300302300300300300300300299298299298299298299301300302302302302302300301301302301302999999999999999999999999999999303304303302301302301301302302302305999999304304306999999999999999999999999303304304303304303303303302302303303304303303304303304304304305304304303303304303303303303303303303303303304304304303303302303302302302302302302302302302301301302302300303303303304304304305306303305305305306306304304302301304303302301302300302301302303302301302304304304305304305303304304304305306306304305305305305306305305304304304304304304304304304304304303303303303303303303303303303303302303304304304303304304305306305306306306306306307307307306305305306305305305306305306306306306306305305304303303303304303303303304303303303303303303303303303303303303303304304305304304303303302302302303303304304304304303303303303303302303303303304303303304304305303304303304304304305305305304306304304304304305304305305304304304304304304304305304303304305304304305305305304303304303304304305304304303303303303303304304302303303303302303303302301302302302302302303303303303302302302302302302302302302301301301300301301301301301302301302301300300300301301301301301301301300300301301301301301301301300301301301301301300300300300300300300300300300300300300301301300300301302302301301301301301301301301301301300302300300301301301301301301301301301301301300300301300300300300300300300299299300299299300300299299299299299299299299299299298298297299299298297296297297297297296297297297297297297296296296296296296296295295295295294294294294294294294294294294294294293293293293293293293293293294294294293293294294294294293293293293293293293293292292293293292292292292292292292292292292292292291292292291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289290290289289289289289289288288288288289289289 307306307308308307308307307308308307307307307307307307306306306305305305305305305306306307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287285285285287288289289289290292294296297298298298298298298298298298298298298298298297297297297297297297297297298298298298298298298298298298298299299299299298299298298298298298298299299299299299299299298298298298298300299299299299298299299299300298298298298298299299299299299300300300299299300299299300300299300299301999298298299300300299300299298299299298299299300300301300301301300299301301301999999999999999999999999999999999303300301303302303302302302303305304304999999999999999999311312999999999999304303303303303303303303303303303303303303303303303304305304304304304304303303304303303303303303303303303303303303303302302302302303302301301301302301301301301302300303303303303303304304304304304305305306306304304304304303302304301301302303301302304303303302303304304305306307304305306305304305306306305307306305305305305304304304303304304304304303304303304303303303303303303303303303303303303303304304303303304304305305306307307307306308308307307306306306305306307306305305306306306306306305304304304304303304303302303303303303303303303303303303303304303303304304305304304304303303303302302303303304304304303304303303303303304304303303302303303304305302302301302304304304304305305305305304305305305304304304304304304304305305305304304303304304305304304304305305304305305304304304304303303303303303302302302302302303302302302303303303302302302302302302303303303303302302302302302302302302301301301300301301301301301301301301301301300300300300300301301301301300300300300302301301301301301301300300301301301300300300299299300300300300300300300300301300300300301301301301301301301301301301301301301301301300301301301301301301301300300300300300300300300300300300300299299299299299299299299299299299299299298298298298298298297297297297298298297296296296297296296296296296296296296296296296295295295295295294294294294294294293293293293294294294294294294293293293293292293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290289289289290290289289289289289289289289288288288288288288289289 307307308308307308308308307308308308307307307308307306306306305305305305305305304305306306307999999999999304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289288286286285286288290290290291292294296297298298298298298298298298298298298298298298298298297297297297297297297298298298298298298298298298298298298299299299299299299298298298298298298298298298298298298298298298298298298299299299298298298298298298298298298299298298298299298299298298298298299299299300300300300299300299302999298297299300299299298298298298298298299298298300301302302301301301300300302999999999999999999999999999999302302302304305304308303303303304304304304999999999999999999305307999999999999310303304303303303303302302302302303303303302304303303304303303304303303303303303303303303303303303303303303303303302301302302303302300300301300300301302301302301302302302303303303302303303304304305306306305307302301303304304304300302302301301303303302303302303304304306306306306306307306306305307306307306305306305306304305303304304304304303304304304304303303303303303303303303303304304304303304304304304304303305305305306306307307307307307307307306306306306306306307306306306306306306306306304304304303303303303302303302303302303303302303303303303304304304304304305305305304304303303303303303302303304304304304304303302302302303304303302304304303303302302302303303303303304304304303304304304304304304304304304304304304304305304304304303303304305304305305304304305305305304304304303303303303303302302301302302302302303302302303302302302302302302302302303303303302302302302302301302301301300301300300300301301301301301301301301300300300299300300299300300300300300300300301301301301300300300300299299299299299299299300299299299300300300299300300301300300300300300300300300300300300300299299300300300300299301301300300300300300300300299299299299300300300300299299298298299298298299298299299299299299299298297298298298297297298298297297297296296296297296296296296296296296296296296296296295295295295295294294294294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292293292292292292292292292292292292292291291291291291291291291290290290290290290290290290290290289290290289290289290290290290289289289289289289289289289289289288289289289288288288288288288288289 306306306306307307307307307307306307307307307306306306305305305305304304304304304304304305305999999999304312304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283285288288287287287288289290291291293294295297298298298298298298298298298298298298298298298298297297297297297297297298298298298298298298298298298298298299299299299299298298298298299298298297297297297298298298298298298297298298298299298298298299299297298298298298298298298298299298299298298298297299300299300300299300299299300299999299299299299299299298297298298298298298299299300300301302302302301301300299301999999999999999999999999303303304304305307305305303302999304304303304999999999999999999304304303302302302306304302303302302302302302302302302303302302303303303302302302303303303303303303302302302302302303302302302302302302302303303301301301301300301300302302302301300300300301302301302302303303303304304304304304303301302303304304304303302301303303303303302302303303304304304303304303304303305305304304305305306307306305304304304304304302304303303303303303303303304304304303303302303303303303303303303304304303304303305305305305306306305306306306305305305305305305306306306306306306306305306306304304303302302302302302302302302302302303302302303304302303303304303303304304304304304304303303302302302302303303303303304303303303304302303303303304303302301301302302302302302303302303303303303303304304304305304304303303304304304303303302303302302302303303303304303303303304304304304303303302302302302302301301301301302302302302302302301302302302302302302302302302302303302302301301302301301301301300301300300301301300301301301301301301300300300299299299299299299300300300300300301301300300300300300300299299299299299299299300299299299299299300299300299300300300300300300300300300300300300300300300300300300300300300301301301300300300300299299300300300300300300300299299298298298298299299299299299299299299299298297297297298297297297297297297297296296296296297297297296296296296296296296296296295295295295295295295294294294294294294294294294294294294294294294293293293293293293293293293293294293293293293293293293293293293293293293293293293293293292292292292292292292292292291291292292291291292291291291291291290290290290290290290290290290290289290290290290289290290290290290290290289289290289289289288289288289289288288288288288288288288288 306306306307307307307307307308307307307307306306306305305305304305304304304304304304304304303999999999311310304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281284286288290290290290290291291292293294296297297298299299299298298298298298298298298298298298297297297297297297297298298298298298299298298298298298299299299299299299299300299298298299298297297297297297298298298298298298298298298299299298298297298298298298298298298298298298298298298298298298298299299300299300299300299300299300999999302299299300300300299299298299297297298298299298300301302300301301301300301999999999999999999999308303302302999999306306307306304304999303304304305999305305999999999303303302300300300300302301302302302303302302302303303302302303303303303302303302303303304303303303303303302302302302303303302302302301302301302301301301300300301300300301300300298300300302303301301304302305304304303303303302303304304303303304303301302302302302303303303304304304304303304304305304304304304304304304305305306306305305304304304303303302303303303303304303303303304304303303302302302303303304303303303304304303305305302305306304306306306306306306305305305305305305306306306306305306305306306305304303303301302302301301301302303303302303302303303304303303304304304303303303303303303303303303302302302302302302302303303303303303303303303303303302302302302301302301302302303303303302303303303303304304304304303304304304304304304304304303302302301301301301303302302302303303303303303303302302302302302302301301301301301301302302302302301302302302302302302302303303302302302302302302302302301302301301301301301301301301301301301301301300300300300300300299299299299299300300300300300300300299299300300299299299299299299299300300299299299299299299299299299300300300301300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299298298298299299299299299299299299298298297297297297297297297297297297297296296296296297297297297297296296296296296296296296296295295295295294294294294294295295295295295295294294294294294294294293293293293294294294293294294293294293293293293293293293293293293293293293293293293293292292292293292292292291291291292291291291291291291290290290290290290290290290290290290289289289289289289289289289289289289289289289289289290289288288288288288288288288288287287287287288288 307307306306307307308308308308308307307307306306305305305305305305304303304303304303304304304303305306309308304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279281281283286288290292292293293293292293294295296297298298298299298298298298298297297297298298298297297298297297297297297297298298298298298298298298298298298299298298299299299299299299299299298298297297297297297298298298298298298298299298299299299298298298298298297298298299298298298298298298298298298298298299299299301301300300300299300302999301300299300300300299298299298298298298299300300300302301300301301301300300999999999999999999999303302303999999999999999304303303305999304305303304306304305999999999301302302301300299298296297301302303303303302302303303303303303303303303303303303303304303303304303303302302301302302302303302302301301301302302302301301301301301301301301301299300301301301302303302305304304303302302301302302302302303303303303302302302303301303302303303303304305303303303304304303304304303304304304305308306305306305305304304303303302302302303304304303303304304303303303302303302303304304303303303304303303305305306306305307306306306307306306305306306305305306306307306307306306305305305304303303302301301301301301301302302303302303303303303303303303302303303303303303303303303303303303303302302302302302302302302303303303303303303304303303303303302302303302303302303303303302303303304303304304304303304304304304304303303304304303302303302301301300301302301301302302302302302302302302302301301302301301301302302301302302302302302301302301302302302303303302302303303302302302302302302301301301301301301301300300300300301300301300299300300299299299299299299300300300299299299299299299300300299299299298298298298298300300299299299299299299299300300300300300301300300300300300300300300300300300300300300300300300300301301300300301300300300300300300300301300300300300299299299298299299299299299299299298298298297297297297297297297297297297297297297296296297296297297297297297296296296296296296296296295295295295295294295295295295295295295295295295295295294294294294293293293294293293293293293293293292293293293293293292292292293293293293293292292293292292292292292291291291291291291291291291291291290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289289288288288288288288288288287287287288288288 308307307307308308308308308308308308307307307306306306305305305304304305305304304304304304305303303305306307304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281284285287289290292292293293294294295295296297298298298298299299299299298298298297297297298298297297297297297297297297297297298298298298298298298298298298298298298299299299299299299299299299298297297297297297297297298298298297298297297298298298298297298297297297297298298298298297297297297297298297298298297298299300300300299300299299300999999999298297298299300298298297296297297298299299299299301300300300301301300999999999999999999999299301303304999999999999999301302303999999304302303302303303304309999999300301302302299298297296296297302303303303302302303303304303304303303304304304303304304304303304304303302301301302302302302301302302301301302302302301301301301301302302302300300300300301302301302302305303302303304301303303303302303304303303303303302301302303303303303303303304304304304304303303304304305304304304305305306306306305305304304303303303302302302303303304304302303304304303304303303304304304303303302303304303303304304304305306305306306307307306306306306306305306305306307305306306306304304305304303302303301302301301301301302302302303303303304303303303303303303303303303303303304304304304303302302302302301302303303303303304303303303303304304304304304304302303303303302303303303303303302304304303304304304304305305304304303303303303302302302302301300301302301301302302302302302302302302301301301301302302301301301301301301302302301302303303302302302303303303302302303303302302302302302302302301302302302300300301301300300301302300300299300300299300300300299299300300300299299300300300299300299299299298299298298298298300299299299298299299300299299299299300300300299300300300300300300300300300300300300300300300299300301300300300300300300300300300300300300300300300300299299299298299299299299298299298298298298297297297297297297297296297297296297297296296296296296297296296296296296296296296296296295295295296295295295295295295295295295295295295295295295295294294294294293293293293293293293293293293293293293293293293293293293293293292292292292293292292292292292292292292292291291291292291291290290290290291290290290290290290290290290289290289289290290290290290289290289289289289289289289289289289289288289289289289288288288288287288288289 307307307308308307308308308308308307307307306306306305305305304305305306305304304303304304305304303305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286286288289291292293294294295295295296296297298298299299299299299299299299298298298298297297297298298297297297297297297297296297298298298298297297297297297297298298297298298298298298298298298298298297297297297297297297297298298298297298298298297297297297298297297297297298297297297296297297297297297298298298298299300300300300300300300299300999999999296297298298297298297297297297298298298298297298298299299300299300301300999999300299299999999299300999999999999999999300301302999999300300300305304302303304999999999300302301297297296296297299302302302302301302302303303302302303303303303303305302303302303303304303303302301302302302301302301301301301302302301301301301301301302302302300300300300301301301301304304302303304304304303303303302303302303302303303302302303303304304303304303303304303304303303303304305304304303304304305306305304304304303304304303303302303302303303304303302303303304305304303303304304304303303304303302303303304304304304307305305307307306306307306306306306306306306307307306306306305304305303303302302301301301301301301302303303303303304303303303303303303303303303303303303303304304303303302303303302302302303303303303303303303303303303304304303303303304303303303303302303303303304303305304303304304305304305304304304304303303303303302302301302302301302302301302302302302302302302301301301301302302302302301301301301301301302302301303303302302302303303303302302302303303303302302302301301301301301301300301301301301301301301298298298299299299300300300300300299299300300299299299299299299299298298299298298298297299299299299299298298298299299299299299299299300299300300300300300300300300300300300300300300300300300300301300300300300300300300300299300300300299300300299299299299299299298298298298298298298298297297297297296297296296296296296296297296296296296296296296296296296296296296296296296296296296296296296296295295295295295295295295295296296295295295294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293292293292293292292292292292291292292291291291291291290291291290291290291290290290290290290290290290290290290289289290289289289290289289289289289289289289289288288288288288288288288289 307307307308307308308308308308308308307307306306306305305304304304305305305304304304303304304304304303305305999999306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999999999999999999999290290290290290291292293294295296297297297296297298299299299299300299299300299299299298298298298297298298298298298298297297297298297297298298298298298297298298298298297297298298298298298299299298298298298298298298298298298298298298298298298298298297298296297298298298298298298297297297296297297296297297297297297297298298299299299299298298299299299300999999999999296999999296296296295295296297297298298298298299298299300300300299299999299299298297999999301300999999999999999999299299999999999298299299302303302303303999999999999299297294295298299301302302303303301301302302302302302302302302303303303303303303303303303302302302301302302302302301301302301301301301301301301300301301301301299302300300301300301302302303303302305304302304303303303302303302302302303303302303304304304305304304303304304304303304304302304303303303303303304304304304303304304304304303303302302302302303303303303303302303303303304304304304304304304304303302304303304304304304304302306306305305306307307306306306305306306306305306306306306305305304303303302301302302300301300300301302302302303303303303303303304303303303303302303303303304304304303302303302302303302302302303303303303304304303303304303303304303303303303303303303302302303303303302304303303303304304304304303303303303303304303303302303303302302302302302302302302302303302302301301301301301301301301302301301301302302301302302301302302301301303303303302302302302302302302302302302302302301301301301301300302301299300299300299299298299299299299300300300300300300300299299299299299299299298298298299298298298298298298299299299298298298299299299299298299299300299299300300300300300300300300300300300299300300300301301301301300301301301300300300300300300300299300300299299299299299299298299298299299298298298297297297297297297296296297297296296296297296296296296296297296296296297297297296296296296296296296296296296296295295295295295295295296296296295295295295295295295294294294294294294294294293294293293294294293293293293293293293293292293293293293293293293293293293293292292292292292292291291291291291291291291291290291290290290290290289289289290290290290289289289289289289289289289289289289289289289288289289288288288288288288289289 305306307307307307308308308308307307307307306306305305305305305305305305305304304304304303304304304304305305305306307306304305305305999999999999999999999999999999999999999999999999999999999999999999999999999298304999999295294293292292293293293294295295296296298298298298298299299300300300300300300299300299299299299298298298297298298298298297298297297297297297298298298298298298298298298298298298297297297298298298298298298298298298298298298298298298298298298298298298298297297297298298298298299299298299298298298297297297296297297297297297298299300300300300298298298298300300999999999999297298297297297296297295296297298299298299299299299298300300300300299999298298299298298999299301999999999999999999299300300999999999297299300303303303303999999999999999298298293298298300303303303303302302302302302302302302302302302303304303303303303302303302302302303302302302302301302302302302301301302301301301301301302302301302302301300301300301301303303304302305302303304304303303303303302302301303303303303303303302303304304303304304304303304303302303304304303302303304304304304303303302303303303303302302302302302302301303303303303303304304304304304304304303304303302302304304303303304304304305305305305307307307307306305305305305306305306305306305305304303302302301301301301300301300301301300302302303302303303303303302303303303303302302303304303303303303302303302302302302302302303303303303304304304303303303303302303303303302303303302302302302302303302303303303303304304304303303303303303303304303303303303303302302303302302302302303302301302301301301301301301301301302302302302302302302301301302302302301301301303303301302302302302302302302302302302302301300301300301300301300299300300299300299299298299299299299299300300299300300300300300300299299299299299299299299299298299299299299299300300298298299299299298298298299300300300300300300300300300300301301300300300300301300301301301301301301301301301301300300301301300300300301300300300299299299299299299299299299298298298298297297297297297297297297297297296296296296296296296296296296296296297297297297296296296296296296296296295295295295295294294294295296295295295295295295294295294294294294294294294294294293294293293293294293293294293293293293292293293293293293293293293293293293293293292292292292292291291291291291291291291291290290290290290289290289290290289289290290290289289289289289290290290289289289289289289289289288289289289288288289289289 305307307306307307307307307307307306306307306306305305305305305305304304304304303304303303303303304304304304305305305999999308307305304999999999999999999999999999999999999999999999999999999999999999999999303302300295295294293292293294294295295296296296297297299299299300300300300300300300300300300300300299299299299298298298298298298298298298298297297297298298298298298298298298298298298298298298297297297298298298298298298298298298297297298298298298298297298298298298297297296297298298298298298298299299298298298298298297297296297297297298298299299300300299298297298297999999999999298297296296296296296296297297298298298299298299298298299299299299299299299298299298299299298299299302303999999999999299300300999999999999297299300303302302303301999999999999295297296292301301303303302303303302302303302302302302302302302303303303303303303303303303304304303303302302303302303303302303302302302302302301301302302302301302301301302302301302302303303303301304303305305305304305304304303302301304304304304304304304305304303304304305306304304304304304304304302303303304304305305304303304304304304303302303302302302302302303303303303304304305304304305304304304303303303303304303303303303304304305305305306306307307307306306305306305306305306306305305305305303303302302301301301301301301301301301303302303303303303303303302303303303303302302304303303303303303303303303302303302302303303303304304304304304304303304303303303303303303303303302302302302303302302304304304303304304304303304303303303304304303304304304304303303303303303303303302301302302302301301301301301302302302302302302303303303302302302302303302301303303302302302303303303303302302303302302302301301301300300301300300300300301300299299299299299300300300299300300300300300300300300300300300300299299299299299298299299299299298299299299298298299299299298298298299300300300300301300301300300300300301301300301301301301300301301301301301301301301300300301301300300300300300300300299299299298298298298298298299298298298297297297297297296296297296296296296296296296296296296296296296296296296296296296296296296295296296296295295295295295294295294296295296296295295295295294294295294294294294294294294294294294294294294294294294294293294293293293293293293294294294294294294294293293293293293293293292293292291292291291291291291291291290291291290290290290290290290290290290289289289289290289289289290289289289289289288288288288288288289288288289289289 306306306307306307307307307306306306306305306306306306305304304304305304303303303303302303303303303304304305305305305999999308307305305304999999999999999999999999999999999999999999999999999999999999999304303301299297295295295294294295295296296296297297297298299299300300300301301300300300300300300300300299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297298299299299298298298298298298298298298298299298299298299298298297298297297297297298298298299299299299298298299299298298297298298298298299299300300300299298297298299999999999297296296296296295296297297297297298298297297297299299299299299299299299299299298298298299299298299299301302999999999999299300301999999300298297300302303303301301298999999294292293296295999300301301301302302302302302303303302301301302302302303303303303302303302303304304304304303302304303303303303302303302303303302303302302302302301301302302301302301302302303302303304304305305305304304305304304304302302303304303303305304305305305304304305305305304305305304304304304303303303303303304304304304304304304304304303303303302302302303303303303304304305304305305304305305304303304303303304304303303303303303305304305306305306306306306306306305306306305305305305305305304304303303302302302301301301300301301301302302302303303303303303302302302302302303302303303303303303303303303303303303303303303303303304304304304304304304303303301303303303303303303303302302302303303302303305303304303304304304303303303303304304304304304304303303304303303303303302303302302302301302302301302301301302302302303303302303303303303303302302302302303303302302302302302303303303303303302302302302302301301300300300300300301300301300300299300299299299300300300299301301300300300300300300299299299300300299299299299299299298299299299299298298299299299299297298298299300300300300301300300300300300300300301300301301301301301301301301301301301301302301301301301301301301301301300300300299299299298299299299299298298298297298297297297297296296296296297297297297296296297296296296296296296296296296296296296296296296296296296296296295295295295295293295295295295295295295295294294294294294294294294294295295294294294294294294294294294294294294294293293293293294294294293293294294294294293293293293293293293293291292292292292291292291291291292291290291290290290290290290290290290290290290290290290290290290289289289289289288288288288289289289289289289289 305306305306306307307307307306306306305305305305305305305304304304304303304303303304303303303304303304304305305305305304304305305304303304302302999999999999999999999999999999999999999999999999999999999999300298298297296296296296296296297297297297298298299299300300300300301301300300300300300300300300299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298299298298298298297297297298299298298298298299298298297298298297297297298298298298299298298299298299299299299298299298298298298298300299300300300298297999999999999294293294294295295295296296298298298298299297297299299298298299298299299299299299299299298298299298298300302300999999999999298298999999300299298299302999307306304300298999999294293295296295999298300300301301301302302303303303302301302302302301303303303303303303303304305305305305305306306305303303302302302302302302303303303303302302302301302302301301301302302303304305304305305305305305306307305304303303304304303304304305306304305305304305305305305304304305304304304303304304303304304303304303304303304303304303303303302302302302303303303304304304304304305304305304304304303304304304304303303303303303303304305305304306306305305306306306306305305305305305305305304304304303302302302302301301300301301301302302303303303303303303303302302302302303302303303304304304304304304304304303302302303304304304304304305304304304304303303303303303303303303303303303303304303303303302303303303304303304304303303303304303303304304304304303304303303304303302303303303302302302302302302302302302302303303303303302303303303303303303302302302303303303303303302303303303303302302302302302302302302301302301301300300301301301300300301300300300299300300300300301301300300301300300299299299299300300300300300299299299300299299299299299298298298298298298298299299300300300300300300301300300300300300300300300300300301301301301302301302301301302301301301301301301301301301301300300300299299299299298299298298297297297297298297297297297297297296297297297297297297296297296296296296296296296296296296296296296296296296296296295296295295296295296295295295295295295295295295295294295294294294294294294295295295294294294294294294294294294294294294294294294293294294294294294294294294294293294294294294294293294291292292292292292293292292291291291291290291290290290290291291291290290290290290290290290290289289289289289289289289289289289289289289289289 305305305306306307307307306307306306305304304305305305305304304304304304304304303303303304303303304304305305305304305304304304305304303302302303302302999999999999999999999999999999999999999999999999999299298296297296296296296297297297298298298299299299300300300301301301301300300300300300300300300299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298299298298298298297298297298298299298298298298298298297297297297297297297297298298298299299299299299299300299298299298298298298299300300300300299298297999999999999294294294294295295296297297298297298297298298298298299299299299299299298298298299298298298298297299298301302999999999999299299999999297298298299299999999999999297298298297297294294294296294295999298298298298301302302302303302302302301302301302302302303302302303305304304305306305306307304303303303302302302302302303303303303303303302303303303303302300301303303305306306305305304304305304307307305304303304305304304305306305303305305305304306305305304304304304304304303304304304303304303303303303304303304304303304304303303302302302303303303304304304304304306305305305304304303303304304303303303303303303303305304304304306305306306307306305305306306305304304305306305304304304303302303302301301301301301301302303303303303303303303303303302302303303303303303304303304304304305305304304303304304303305305305305305305304304304304303303303303303303303304303303303303302303303303303303304304304304303303304303303303304304304304304304304304304304303302302303302303303302302302302302302302303303303303303303303303303302303302302301302303303303303302302303303303302302303302302302302302302302302302300301302302300300300300300300300300300300300300300300300300300300300300299299299299299300300300300300300299300299299299299298298298298298298298299298299299300300299300300300300300299299299300300300300300300300301301301301302301301301301301301301301301301301301301300300300299299299299299298298298297297297297297297296297297297297297297297296296297297297296296296296296296296296296296296296297297296295295295296296296295295296296297296296296296295295295295295295295295295294295295295295295295295294294294295294294294294294294295294294294294294294295294294294294294294294294293294293294294294292293292293292292292292292293293292292291291291291291291291291291291291291291290290290290290290289289289289290289289289289289289289289289289289 304305305305306306307307307306305305305304304305305305304304304304304304304304304303303303303304304304304305305305305304303304304304303302302303304302302999999999999999999999999999999999999999999999301299298297297297297297297297298299299299299300299300300301301301301301301301301300300300300300300299299299299298298298298298298298298298298298298298298298298299299299299299297298298298298298299298298298298298298298299299298298298298298298298298299299299299298298298298298297297297297298297298298298299300300299300299299298299299299298298298298300300300300300298999298295294294294295294295296297298298298298297298296298297299299299300300299299298298299298298298298298298297298999999999999999999999298299999999298298298299999999999999999297297298297296295295297294293294296295297298999300302302302303302302301301301301302302302302302303303304305305305306304305305304303303303303303303303303303303303303303303303303303303303302302302302304306306305305304305305305305306305304304304303305305304305303305306304304304304305303304303303303304304304304304304303303304303303303304304303303303303303303303302302302303303304303304304304304303304304304304304304303303304304302302302303302303304304303303304304304305305305305305305305305305305305305305304304304304303303303302302301302301301301302302302303303302303303303303302302302302303303304303303304304305304305304304304303304304303303305304305305304305304303303304303303303303303304304303302302303303303303303304304304304303303303304304304304304304304303303303304304303304304302303303303303303302303302302302302302303303303303304303303302303303303302301301302303303304303302302303303302302302302302301302302302302302301302301301301301301301300300301300300299300301300300300300301300300300299299299299299299299300300300300300300299299299299299299299299298299298298298298299299299299300300300300300300300299299299300300300300300300301301301302302302301301301301302302302301301301301301301301300300300299299299299299298298298297297297297297296297297298298298298297297296297297297296296296297296296296296296295297296297296296295296296296296296296296296296296297297297296296296295295295295295295295295295295295295295295295295295294295295294295295295295295295295294294294295295295295295295295295295294295295294294295294294295292292292292293292292292292293292292292291291291291291291291291292291291290290290290290290289289289290290289289289289289289289289289289289 305304304305306307307307307307306305304304305304304304304304304303303304304303304303303303304304304304305305305305305305304304304304303302301303305303999999999999999999999999999999999999999999999999299298298298298298298299299299299299300300300300300301301301301301301301300301301301300300300299299299299299298298298298298298298298298298298298298298299298299299299299299299299298299298298298299298298298298298298298299299298298298298298298298298299299299299298298298299298298298298298299299299298299299300299299300299299299299298300298298299298299300300300300999296295294294294295295296297297297298299297297297299298299299299299300300299299299298298298299298299298298298298999999999999999999999298298299999999297296999999999999999999999297296296297297295295294293292291293295300300999299301303302303302302301301301302302302302302305303303304305306305305305305304305304304304304303303303303303303303303304303303303303303303303302301304304304304305306304305306306306306305305307304304304304304304307306304304304304305305303303303303304304304303304304304303303303303303303303303302302303303303303303302302302303304304304304304303304304304303304303304303304304304303303303302302303303303303304303303304304303304303304304304306304306305305305305304304304304303303302302302302302301301301302302302302302302303303303302302302302303303304303304303304305304305304305304304304304305304303304304305305304303303303303303302303303304303304303303302302303303303304304304304304303303303303304304304304304303303303303304304304304303304303303303303304303303302302302302302302303303303304304303303303303303303302301301302303303303304303303303303302302302302302301302301302302302302301301300301301301301300300300299300300300300300300300301300300300300299299299299299299300300300300300300300299299299299298299299299299298298298298299299299299300301299299299299300300299299299299299300300300301301301302303302302302302302301302302302301302301301301301301301300300300300300299299299299298298298297297297297297298298298298298298297297297297297297297297297296296296296296296296296297296296296296296297296296296296296296297297297297297296296295295295295295295295295295295295295295295295295295295295296295295295295295295294295294294294295295295295295295295295295294295294294294294294293292293294292292292292292293292293292292292292291292291291291291291291291290290290290290290290289289290290290290289289289289289289289289289289 307305306306306307307307306306306305304304304303303303303303303303303302303303303302303303304304304304304304305305305304304303304303303302303305305999999999999999999999999999999999999999999999999299299299299299299299300300301300300300300300300301301301301301301301301301300300300300300300299299299299298298298298298298297298298298298298298298298298298298298298298298299299299298298298298298298298298298298298298298298299298298298298297298298298298298299298299299299299298299299298299298297298299299299299299299299299299299299299300299298298299300300300300999999292292294295296296296297298299298296298298298298298299299299299300300300299298298299299299298298299298298299297999999999999999999999296298999999297297297999999999999999999999999294296296296295293294295999999297296298298296297299301300301301301302301302302302303303304303303303304304305305305306306304305304304304304304303303303304303303304303303303303304306303303302303304302303304306307306306306306306305304306307305304304304306304306305305304303304304305304304303303304305303303304304304303304304303303302303303302302303303302303303303302303303304304304304304304304304304304304303303303304304304304304304304303303303304303303303303303304304304304304304304305305306306306305305304304303303303303302302302303302302301301302301302303303302302302302302302301301302303303303303303303305305305304305304304304304304304305305305304304304303303303302302302303303303303303302303303303303303303303304304304303303303303303304304304304303303303304304305304304304304304304304304304304303304303303303302303303303304304304304303303303304303303302302302303303303302303303303303303302302302302302302302302302301301301301301301300301301301300300300300300300300300300300300300301299300300300300300299299300300300300300299300300299299299298299299299299299298298298298298298299299300299299299299299300299300298298299299299300300301301302303303302302302302302302302302302302302302302302301301301301300300300300300300299299299298298297298298297298298298298299298298298297297297297297296297297296295295295296296296297296296296296296296296296296297296296296296296296296296296296295295295295295295295295295295295296295295295295296295295295295295295295295295295295295294295295295295295295295295295295295294294293294294294292292293292292293292293292293293293292292292292292292292291291291291291291291290290290290290290289290290289289289290289289288289288288289289289 307307307307307307307307307306307306305305305304304303303302303303303303304304304304303303303304304304304304304304304304304304303304303302301304305999999999999999999999999999999999999999999999999999301300300300300300300301300300300300301301300300300301301300300300300300300300299299299299299299298298298298298298297297297297298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298299299299299298299298299298298299299299299299299299300299299299299299299299299299299298297298299299299999999999290291294296296298297298298299298298299299299299298298298299299299299299299299299299300298298298300299299299298999999999999999999999296297999999296296296999999999999999999290291293293294294293293295298999999296296298999299298298299300300300301301301302302302303303304303303303304305306309306307305305304304304304304304304304303304304303303303303303303303303303302301302303302303305307307306306307307308303303303304305304305305306306305304303304305305305305304305303304304304304303303304304304304303303303303303302303303303303303303303303303303304304304304304304304304305304304304304304304305304304305304304303303303304304304303303303304304305304304304303304304305305305305304304303303303303302302303303303303303302301301302302302303302301302301302302302301301303303303304304303304304304305305303305304304304304304304304304304304304303303303303302302302302302304303303303303302303303303304304304304304303303303303304303303304304304304304304304304304303304304304304304303303303303303303303303303303304304304304303303303303304303303303302303303303303303303303303302303303302302302302302302302302302301301301301301301301301300300300300299299299300300300300300301300300300300300300300299300299300300300299299299298300298298298298298298298298298298298298297298298298299299299299299300299299299298298299299300300300301301302302302302302302302302302301302302302302302301302302301301301301300300300300300299299299299298298298298298298298298298299299299298298297297297296296297296296296296296296296296296297296296296296296296296296297296296296296296296296296296295295295295295295295296295295295295296295295295295295295295295295295295295295295295295295295295295295295294294295295295295293293293293293293294293293292292292292292292292292292292291292292292292291291291291291291290291291291290290290289290289289290290290290289289289289289289289289289289 310308308309308308308307307307307306305305304304303303303304303303304304304304304304304304304303304304304304304304304304304304304303303302302303999999999999999999999999999999999999999999999302999302302302301301302301301302301301301301301301301301301301301300300300300300300300299299299299299298298298298298297297297297297297297297297298298298298298297297298298298298298298298298297297298297297297298297298297297297297298298298297298298298298298298298298298298298298298297297298298298299299298298298299299299299299299298298299299299298298297298298299999999999999290293294296296298296297298298297298299298298298298298298299299299298298299298299298299298298299299298298299298297999999999999999999295295999295295295296295294294292291290290292293293293292293295297297999999999296297297297297298299302302301301301301302302303303304304304304305306307307307306305307307306305305305305305305305304304304304303304302303303303302301302301302303303302304305307304306305304304304306307304305305305304305305306303304304303305305303304304303304304304303304304304303304304303303302302302302303302302303303303304304303303304304304304304305305305305304304304304999304304304304304304304303303303303303303303302303304304304304303302302302303303304304304304303303302302301301302302303303303302302301302301302302302302301302301301302301301301302302303302303303303303303304304303303304304304304303304304304304304303303303303302302303302303303303303303302302302303303303303303303303303303303303303304304304303303304304303303303303304303304303303303304303304304303304303303303302303303304304304303303303303304304303302302303303303303303303303303303302302302302302302302302302302302301301301301300301301301300300300300300300300300300300300300300300300300300299300300299299300300300299299299299299299299299299299299299298299298298298298297297298299299299299299299299299299299299298299299300300301301301302302302302302302302302302301301301301302301301301301301301301300300300300299299299299299298298298298298298298298298299298298298298297297297296297297296296296295295295295295295295296296296296296296296296296296296296296296295296296295295295295295295295296295296295295295295295295296295295296296295295295295295295295295295295296296296296296296297295295296295295294294294293293294293294293294293293293293293292292292292293293292292292291292291291292292292292292291291291291290290290290290290290290290289289289289289289289289290 307308308308308308307308308307306306305304304304304303304304303303304304304304303304304304304304304304304304304304304304304304304303302302301302999999999999999999999999999999999999999999303304303303302302301302301301301302302301301301301301301301301301300300300300300300300300299299299299299299298298298298298297297297297297298298298298298298298298298298298298298298298298298298297297297297297297298298298298298298298297298298298298299299299299299299299299299299298298298297298299299299298299299298298300300300299298298298299299298298298297297298999999999999291291294295296296297297297297297296297297298297298298299298299299299298297298298298298298298298298297298299299298297296999999999999999999292999294294295295294293293292291291291291291292292292295296297296296296999999999297297297299300301300300300300301302302303304304303306305306306306306307307307307306305305306306306305304304304305305303303303303303301301301300301301302301302304304307305306305305304306305305305304305304305304306306304306305305304304304303303303303304304303303303304303304302302303303302302303302302302302302303304304304303304304304304304304305305304305304304304303304303304304304304304304303303303302303302302304303305305304304303302301303304303303303303303303303302302301301301301302302302302302302302302302301302301301301301301302302301301302302303303303304303304303304303303303303303303304304304304303303303303303303303302303304303303302302302302302303303303303303303304303303303303303303303303303303303303303303303303303303304304303303303304303303303303303303303303302302303303303304303304303303303304303303303302302302303303303302303302302302302302302302302302302301301301301301300300300300299299299299300299300299299299299299299299299299300300299299299300298298299299298299298298299299298299299299299298298298298298298297297298297298298298298298298299298299299299298299299299299300300300301302302301301301301302302301301301301301301301301301301301300301300300300300299299299299299299298298298299298299298298299299299299298298298297298297297297297297296296296296296296296297297297297297297296296297297297297296297297297296295296296295295295296295295296295296295296296297296296296296296296296295296295295296296295296296296296297297297297296296296296296296295294294295294293294293293293293293293293292292292292292292292292291292292292292292292293292292292291291291291290291290291290290290290290289290289289289290290290 307308308308308307307307308306306306305304304304303303304304304304304304304303304304304304304304304304303303303303304304304304304303302301301302999999999999999999999999999999999999999999304304303302302301301301301301301302302301301301301301301301301300300300300300300300300300299299299298299299298298298298298297297297297298298298298298298298297298298298298297297298298298298298298298298298298298297298298298298297297298298298298298299299299299299299299300300299299298298298299300299299299299299300300300299300298298299299299299299298298297297999999999999292293294296297297297298297297297297297297298298298299299299300300299299299298298298299298297298298299300301301301299297298298295999999999999999293293294295295294293293293293293292292292293293294295297297295295999999999999298297297297300301301299300300301301302302306305304305306305308308307307307307307305304305305305306305305305305305305304303303302303301300300300301302301303303304305303306302301301302303303303304304303304304304303306304305305304304304303302302303303303303303302303302302302302302303303302302302301301302302301302302304304304303303303304303304304304304304303304304303303303303303303303304303302302302302302303302303303304304304303303302302303304303303302301302302303303302301301301301301301301301301301302301301301301301301301301301301301301301301301302302303303303304304303303302303303303302303302303303303303303303303302302302303304303303302303302302302303303303303303303303303303303303302302302303303303303303303303303303303303304304304303303304303303303302303303303303302302303302302303303303303303303303302302303302301302303303302301302302302302302303302302302302302301301301301301301301301300300300300300300300300300300300299299300300299300300299300299299299299300300300300299299300300299299299299299299299299299298297298298298298298298298299299299299299298299299299299299300300300300301301301303302302302302302302302302302302302302302302301301301301301301301300300300300299299299299299299299299299299299299299299299299299298299298298298297298297297297296296296296296297297297297297296297297297296297296297297297297297297296296296296295295295296296295296296296296297297296296296296297296296296296297296296296296296297297297297297297297297297296297296296295295295295295294294294294293293293293293293293292292292292293292292292293292292292292292292292292292292292292291291291290290290291290290290290290289289290290289289 308308307308307307308307307306306306305304304304303303303303303304304303303303303304304304304303303303303303303304304304304304303302301300299301999999999999999999999999999999999303303303303302302302301301301300300301301301301301301301301301301301301300300300300300300300299300299299299299299299298298298298298297297297297298298298297297298298297297297297297297297297298297298298298298298297298298297298298298298297297297298298298298298299299298299299300299299299299299300299300299299300300300300300300299299299299299299299300300299298298297999999999999293293294296297297297297297298297298297297298299298298298298299299299299298298299299299299299300300299300301301300301300300300302299295999999999999291292292295295294294294294294294293293293294296295296298297296295999999999999999299999297300301300301300300301302302305305305305306306307307307307309308309308306306306306306306306306306307307305305304303302303302301303302302302302305303303300307306305302303303304304303303304304305304306304305304305304303304305303304303303303303303304303304303303302302303303303303302302302302302302302302303304305304304304304304304305305304304304304304303303304303303303303303303304302302302302303303302302303304303304303303302303303304304303303303302303303303302302302303302301302302302302302302302302302301301301301301302301301301302301301303303302303302304303304303303303303303303303302303303303303303303302302302303304304304303303304302303303303303303303303303303304303303303303303303303303304304303303303303303303303303304304305304304304303303303304303303302302302302303302302302303303303304303303303303302303303303303302302302302302302303302302302302302302302301301301301301301301300300301301300300300300300299300299300300300300300300300299300300299299299299300300300300300300299299300300300300299299299299298298298298298299299299299299299299299299299300300300299300300301301301301301301302302302302302302302302302302302302302302302302301301301301301301300301300300299299299298299299299299299299299299299299299299299299299299298298298298298297296297296296296297297298297297297297297298297298297297297298297297296297297296296295296296296296296296296296296297297297296296297296297297297297297297297296296296297297297297297298297297298297296296296296296295295295295294294293293295293293293293292292292292292293292293293293293293293292292292292292292292291291291291290290291290291290290290290290290290290290290290 308308308307307307308307308307306306305305304304304303303303303303303303303303303303303303303303303303303303303303303304304303303302300300300301999999999999999999999999302302302301301302302302301301301301300300300301301301301301301301301301301301300300300300300300300300299299299299299299298298298299298298297298298298298298298297298297298298298297298298298298298297297297297297298298297297298298298298298298298298298298298298298298299299300300300300300300300300300300301301301300300299299300300299300300300299299299299299300298299299999999999999295294294294295297297298298297298298297298297297298298299298298298299299298300300299300300298298299299299299300301301301300301300300299298293999999999291291291999999293294294294294295294294294295999295296297295296297297999999999999999999999299300301300300300300301302303304305305306305305306306307307308308309305306305306306306306306307306307305305304303302302302302305303304302301301302302305302302306302303303305305303303301302304304304304304303303303304304304304304304304303304304304303303303303302302303303303303303303302302302302302303303304304304304304305304304305305305304304304304305304304304304303303303303303303303303303303302303302302303304304303303303302303303304304305304304304304303303302302303302302302302302303303302302302302302301301301302301301301301301301302301302302303303303303303304304304304303303303303303302303303303303303302302303303303303304304303303303303303303304303303303304303304304304303304303303303303303303303303303303303303303303303304304304304304304303303304303303303302303302302302302302302303303304303303303303303303303303303303303303302302302303303302302302302302302301301301301301301301301301301302301301301300300300300299300301300301300299300299299300300299299300299299300300300299299300299299299299299299299299299299299299299299299299299299299299299300300300300300300300301301302302302302302302302302302301302303303302302302302302302301302301301301301301302301301300300300300299299299299299299299299299299299299299300299299299299298298298298298297297296296296297297297298298297298298297298298298298297297297297297297297297296296296296296296297296296296297297297297297297297297297297297297297297297297297297297297297298297297298298298297297297297297297296296295296295295294294293293293293293293293293292293292293294294293294293293293293292292292292292292292291291291291292291291290291291290290290290290291290290290 308307308308308308309308308308307307306305305304304304304304303304303303303303303303303303303303303303303303303303303303303303303302301300301302999999999999999999999302301301301301301301301301301301301300300300300300300300300300300301301301301301300300300300300300299299299299299299298298298298298298298298298298298298298298298298297297298297298298298298297298298298298297297297298297297298298298298298298298298298298299298299299299299299300300301301301301301301301301301302302301301300301300300300300300300300300300299299299299299999999999999294294295296296296298298298297298298298298297298297297297298297298298299301300300300299299299298299298299298299299299299300299301299298300296293291290290291291291292291292294294295296296296297297297295294295295295296297298999999999999999999999299300301301299301301301302303304305305305306306305306306304307307304305305305305306305306306306306305307306305303303303301302303303303302300300302302303302303303304302303303304303303304302303303304304304304304304305304304304303304303303304304304303303303302302302302303303303303302302302302303303303303303304304304304305305305305305305304304305305304305304304304303303303303302303303303303303303304302304304304302302302302303304304304304304304304304303303302302302302303302302302303303302302302302301301301301301301301301301301301301301301302302302302302303303303304303303303303303303302303303303303303303303302303303302304304303303303303303303303303303303303303303303304304304303304304303303303303303303303303303303303304304304304304304304304303303304304303302302301302303302302304302303303304303303303303303303303303303303302302302302303303303302302302302302301301301301300301301301301301301301301301301301300300300300300301300301300300300299300300300300300300300299300300299299299299299300299299299299299299299299299298299299299299299299299300300300300300300301301301301302302302302302302302302303302302302303302302302302302302302302302302302302302301302301301301300300300299300300299299299299299299299299299299299300299299299299298298297299298297297297297297297298298298298298298298298298298298299298298298297297297297296296297297297297297296296296297297297297297297297297297297297297298297297297297297296297297297297297298298298298297296297297297296296296295295295294295294293293293293293293293293292292292293293293293293293293292292292292292292292291291291291291291291291291291291290290291291291291291290290 308307307308308308309309308308307307306306305304304304304304304303303304303303303303302303303303303303303303303303302302303303303302301301302304999999999999999999303301301300301301301301301301301301301301300301301300301300301301300301301301301300300301301300300300299299299299298298298298298298298298298298298298298298298298298298297297297297297298297297297298298298298298298298298297297298298298298298298298298298298299298298298299300300301300301301301301300301301302302301300301301300301300300300299300300300299299298299299299999999999999293293294296297298299299298298298297297297298298297297297298298297297299299300299299300299299299298297297297298298298298298298299300299298297295293291291291291291291292292293295295296297297298298297297297999296295295999999999999999999999999999999999299300303301300302301302304303304304304303306304303303304307307305305305305305306306306306306305307307306306303303303301301301302302301301300301302302301301303303303301302303302302303302303303304304305304304304304303303303303304304304303304303304303303302303302302303303302303302302302303303302303303303303303304304305305305305305305305305305305305305304304303303303303303302303302303303303304303303304305305305303301302303304304304305304304303304304303302302302302302302302302302302302303302302302302302301301302302301301301301301301301302302301301302303303303303303302303303303302301303302303303303303302303303303303303304303303303303303303303303303303303303303304304304304304304304303304303303303303304304304303303303304304304304304304304303302304303302303302301302302303304303303304303303303303303303303304304304304304303303303302302302303302303302302302302302301301301301301301301302301301301301301301300300300300301301300301300300300300299300300300300300300300300300299299299300299299299299299299299299299299299299299299299300300300300301301301300300301301301302302302303303302302302302302303302302302303302302302302302302302302302302302302301301301301301300300300300300299300300299299299299300300299299299300300299299299299299299298299298297297297297297297297298297297298298298298298298298298298297297297296296296296297297298297296297297296297297297297297297298298297297298297297297298298297297297297297297297297298298298298298297297297297297297296296296296295295295294294294293293293293293293293292292293294293293293292292292292292291291292292291291291291292291291291291290290290290290290291291291291291 308307308308309309309309309308307307307306305304305304304304303303304303304304303303303303303303303303303303303303303303303303302301301301303304999999999999999304303302300300301301301301301301301301301301300301300300300300300300301301301301301300301301300300300300299299299299298298298298298298298298298298298298298298298298298298298298298298297297297297297297297298298298298298298297297297297298297298298298299298299300299299300299300299301300301301301301301302302302301301302301301300300300300300300300300299299299299299300999999999999295295295297298297299299299299298297298297297297297297296296298297298298298298298298299298297298297296296297298297298297298297296297298298297295295293292292292292292292293293294296296296298298298297298297297999999296296999999999999999999999999999999999297300300302300301302303304303302303303303303302303304304307307307305305305306306307306306306306307307305304304302301302301301301301300300301302302301301301302303303303301302302302302303302303304304304304304304304303304304303304304303304304304304303303303303302302303303302302302301302303303302304303303303303304304304304305305305304305305305305305305304304304304303302302302302301302303303304302302305305305305303302303303304304304303304304303303303303302302302302303303302302303302302302302302302302301301302302302302301300300300300301301301301301302302303302302303302302302302302303302303302303303303303303303304303304304304304304303303303303303303304303303304304304304304304304303303304304303303303303304304304304303304304304305304304304304303303303303303302302302303302303303303303303303303303303303303303303304304304302302302302303303302302301302302302302302301301301301301301301301300301301300300300300300299300301300301300299300300300300300300300300300300300299299300300299300300300300299299299299299299299299299299299299299300300300300301301301301301302302302302302303303302302302302303303303302302303302302302302302302302302303302302302302301302301300300300300300300300300300300300300300299300300300300300299299299299299298299298298297297297297296297297298298298298298298298298298298298298298297297297297297296297297297297297296298297297297297297298297298297297297298298297298299298298298298297297297297298298298298298298298297297297297297296296296296295294294294294294293293294293293293293293292292293294293293293293292292292292292292292291291292291291291291290290291290290290290290291291291292291291 309309309309309309309309308307306306306306305305305305304304304304303304304303303303302303303303302303302302302302302302302302302301301303304306299999999999999303301300300300301301301301300301300300300300300300300301300301300301301301301300300300300300300300300300299299299299298298298298298298298298298298297298298298298298298298298298298298298297297298298298298297297297298297297297296297298298297298299298299299299300300300299300300300300300300301301300301302302302302302302301300300300300300300300301300300300300299299999999999999296296297297298299299299299297297299298298298297297297296297298298298298297297297297298297297296296296295296296296296297297297297297297297298297296294294293293294294294294294295295297297298298298298299296297300999999999999999999999999999999999999999999297297301299302301301302303303303303302302302302302303304307307308308305306306306306308307306307307307306306304304304303302302300301300300299299301300300301303303304304302301301302302303303302301303303303303303303303303303303302304304303304304304304303303303303303303303302302302302302302303303303303303303303303303303304304304304304304304305305306305305305304303304303302302302302302302303303303303302303303305305303303303304304304304304304304303303303302302302302302302302303302302302302302302302302302302302302302302301301301300301300301301301301301302302302302302302302302302302302303301303302303302303303303303303304304304304304304303303303303303303304303303303304304304304304303303303303303303303303303303304304304304303304305305305304304304304303303303303302302302302303302303303303303304303303303304303303303304303304303303302303303303303302302302302302302302302301301301301301301300300300300301299300300299299299300300301301301300301300300300300300300300300300300300300300300300300300300300300300299299299299299299299300300300300301301301301301301301302302302303303303303303304303303303303303303303302302302302302303303303303303303303303302302302301301301301300300300300300300300300299300300299299299300300299299299299299299298298299297296297296297297297297298298298298298298299298298298298298298298297297297297297297298298297298298298299298297298298298298298298298298298298299298299299299298298298298297297298298298298298299298298297297296296297296295295295295294295295294294293293293293294293293292292293293293293293293292292292292291291291292291290290290291290290290290290290290289290291291291292292292 310309309309308308308309308307306306306306305305305304304304303303303303303304304304303303303302302303303303302302302302302302302301302304306304999999999303302301299300300300300300301300300300300299299300300300300300301300300301301301300300300300300300300300300300300299299298298298298298298297298298297297297298298298298298298298298298298297298298298298298298297298297297297298297297297297298297297297298298299299299300300300299300300300300300300301302301302301301302302301301300301300300299300300300300302300300300300999999300298297297296297297299298299298299299298298298298298298297297296296297297298299298297297297297297296296296296297296295295295296296298297297298297297297295294294294295295295297999297296296297298297297298299299298298302999999999999999999999999999999999999999298297298299300300301302302302303302302302302302303303305306307307306305305306307306306309308308308308307307305305305304303302301301300301300299300301301302302302304303303302302302301302302302302302303303302303303303304303302303302304303304304304304303304304304303303303303303302302302302303303303303303303302303303303303304305304304304304304305306306305305305305304304303302302302302301302303304304302302303303304304303303304304304303305305304304303303303302302302302302302302303302302302302302302302302301302302302302302301301300301301301301301301301301302302302302302302302301302302303302302303303303303304304303304303304304304304304304304304304303303303304304304304304304303304304304304304304304304303303303304304304304304304305305306305304304304304304304304303303302302302302302302302303303303303303304304303303303304304304303302303303303303303302302302302301301302301301301301301300300300300300300300300300300300300299300300301301301301301301301301301301300300300300300300301301301301301300300300300300299300299300300300300300300300301301301302302302302302302303303303304304304304304304304303303303303303303303302303303303303303303303303303303302302302301301301301301300300300300300300300299299300300300300300300299300300299299299298299298299297298297297297297297298298298299298298299298298298297298298298298298298297297298299298298298298298298298298298298298298298298298299299299299299298298298298298298298298298298297297298298298298298297297296296296296295295295295294294294294293293294293293294293293293293292293293292292292292292292292291292292292291291291291290290290290290289290291290290291291291291291292 310308307306307306307307307306305305306305305304304304303303303303304303303303303303303303303303303303303302302302302302302302302301301303305305305304302301300299299299300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299298299298298298297298298297298297298298298298298298298298298298298298298298298298298298297297297297298297297297298297298298298297299299299300299300300300300300300300300299300301301301301301301302301301301300301300300299300300301300300300300300999999999298297297297297298298298299299299299298297297297297296297297295296296296296297298298297297296296296295295295296295295295295295296296297297297297297297295294294295295295294294999999999999295295296296297298298999299299301999999999999999999999999999999999999999299297298298300300301301303303301302302302303304305305305306306305306307308308306306306306306308308307307306306305304303303303302301302301301302302302302302302301301301303301303303302301302302302302304302303303303304303303302304302303304303304303303303304303304304303303303303303303303303302303303303303303303303303303303304304304304304304304304305306305306305305305304303302303302303302301303304302302303302303304302303303303304303303304305304304303303303302302302302302302302302302302302302302302302302302302302302301301301301301301301301301301302301302302302303302302302302302302302304302303303303304304304303303303304304304304304304304304304304303304304304304304304304304304304304304304304304303303303303303304304304304304305305305305305305305305304305304304304303302302302302302302303303303303304303304303303303304304304303303303303303303303303303302302302302302301301301301302300301300301300300301301300300300300300300301300300301301301301301301301301301301301300300300300301301301301302301300299300300300300299300299300300300300300301302302302302302302302303303303304304304304304304304304304304304303304303303303303304303303303303303303303303302302302301301301301301300300300300300300300300299299299300300299300299300300299299299299299298298298298297297296297298298298298298298298298298298297298298298297298298298297297298299298298299298298297298299298298298298299299299299299300299299299298298298297298298298298298297297298298298298297297297296296296295295295295295294295294294293293294294294294294294294293293293293292292291292291291292292292292292292291292291291291291290290290290291291290290291291291291292 999305305305305305305305305305305305305305304304303303303303303303303303303303303303303303303303303302302302302302302302302302302301301301302302301301300299299299299300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299298298298298297297298297297298298298298298298298298298298298298298298298298298298298298298298297297298298297298297297298298298298298298299300300299300300300300300301300299299300301302301300301301301302302301301301300301301301302301301301301299300999296298298297298298298299298298298298299298298299298298298297296296296296297297297296298296296295295296295295294294295295295295295295295296297297296297296296296294295297295999999999999999999999999294295295297298999999999999999999999999999999999999999999999999999999999999999298300300301301301301301303302303304304304305305305305305305307308307307306307305305307307307307306305305305303303301301301303302301301302303303304301301301302303303303302302302301301302302303302303303303303304303303303304304304304303303303304304303304303303303303302303303303303303303302303303303303302303303303304304304304304304304305306306305305305305305304303303303303303302302304304302302303302303303303303303302303303304304304304303303303303302302302302302302302302302302302302302302302302301302301301301301302301301302302301301301301301301302302302302302302302302302302302302303303304304304303303304304304303304304304304304304304304304304304304304303303304304304304304304304304304303304304305304304304304305305305305305305305305305305304304305304304303302302302302302302303303303303303304304304303302303304304303303303303303303302302302302302302302301301301301301301301301301301301301301300300300300300300300300300301301301301301301301301301301301301301300300301301303303302301301301300300300300300299299300300300300300300301302302302302302302302303303304304304304304305304304304304304304304304304304304304304304304304303303303303302302302302301301301301301301301300300300300300300300300300300299300299300300300300299299299299298298299297297297298297298298298298298298298298298298298298298298298298298298297297298299299298298298298298298299299298298299299299299299299301299299299298299298298298298298297297297297297297298297297297296296296296295295295295295295295295294293293294294294295295295294294294294293293293292293292292293292292291291291292292292291291291290290290291290290290290290291291292292 999999305305305305305304305305305305305305304304304303303303303303304303303303303303303303303303303302302302302302302302302302301301301301301301300300300299299299300300300300300300301300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299298298298298298297297298298298298298298298298298298298298298298298299299299298298298299298297298298298298298298298298298298298299299299300300301300300301300301300300300300301301301300301300301301301303302301302301301301301301301301300300300300298298298298298298298298298298298298298298299299299298297296296295296297296297297296297296295295295295295295294295295295295294295295295295295296296295296296296296295296295294999999999999999999999999294294295297298999999999999999999999999999999999999999999999999999999999999299298301301301302302301301302302302304304304304305304305305306307306306306307306306306307307307307306305306306303303302302303303302301303302304303303303303305304304305304302302302304304302302303303303303303303304304304303304304304303303303303304304303304304303303303303303303303303303303303303303303303303303303303303304304304304304304305305305305305305305305304304303304303302303303302303302302303303304303303302302302303304304304304303303303303302302302302302302302302302302301302302302302302302301301301301301301301301301302302301302302301301301302302302302302302302302302302302304304304304304304303303304304304304304303304304304304304304304303304304303303303303303304304304304304305304304304304304304303304304305305305305305305305305305305304304305304304303303302302302302302303303303303303303305304304304303304304304303303303303303303302302302302302302302302302301301301301301301301301301301301301301300300300300301301301301301301301301301301301301301301300301300300301302303302302302301301300300300300300300300300300300300300301301302302302303302302303303303304304304304305305305305304304304304304304304304304303304304304303303303303302302302302301301301301301301300300301300300300300300300300300300300299300299300300300300299299299298298298299298297297297298297297298298298298298298298298298298298298298298298297298298298298298298298299298299299300299299299300299299299299299299299299298298298298298298297297297297297297297297297297296295295295294294295295295295295294294294294294294294294294294294294294292294293293293293293292292292291291291292292292292292291291290290290291291291291291290291292292292 999999999306306305304305305306306305306305305304304303303303303303303303304304304304304304303303303303303303302302302302302302301301301301301301300300300300300300300300300300300301301300300300300300300300300300300300300299300300300300300300300300300300300300299299299298298298298298298298298298298298298298298298298298298298298298298299298299299299299299299299299298298298298298298298298298298298298299299299300301301300301300300300300300301301301301301301300300301301301301302301301300301300300301301300301301301301999298298298298298298298297298297298299299299298297297297297297296296297296296296295295294295296296295295294293295295294294294294294294295295295296295295295294295294297297297999999999999999999999999297298300299999999999999999999999999999999999999999999999999999999999999999302298303301301301301301301302302302303304304304305305305306305305305306307306306306307307307307307305306306303304303302303302304301302304303304305306305303304304305304302302302303303302303303303303303303303303303303304304303304303303303303303303303303303303303303303303303304304304303303303303303303304303303303303303304303304304304304305305305305305305305305304304304303303303303304303302302302304303303302302303302302303303303303303303303302302302302302301301302302302302301301302301302302301301301301301301301301301301301302302302302302302302301302302302302302302302303303303303304304304304304303303304304304304303304303304305304304304304304303303303303303303303303303303304304304304304304304304303304304304304305304305305305305305306305305304304303304304304303303303302302303303302303303303303304304304304303303304304304303303303303302302302302302303302302302301301301301301301301301301302302302301301301301301301301301301302302302301301301301301301301301301301300300300300302302301301302301301301300300300300300300300300300300301301302302302303303303303304304304304304304305305305305305304305305304305305304304305305304304304304303303303302302301302301302301301301301300301300300300300300300301300300300299299299300300300300299298299299299298297298297297297298297297298298298298298298298298298298298297298298298298298298299298298298298299298299300300300299300300300300300300299299299298298298298298298298298297297297297297297296297297296296296295295294294294295295295294294294294294294295294294294294294294294294294293293293292292292292292292292292292293293293292292291291291291291292292291291291292292292 999999999306306305304305305305305305305305304304304304303303303303303303304304303304304304303303303303303303302302302302301301301301301301300301301300300300300300300300300300300300300300301300300300300300300300300300300300300300300300300300300301300300300300299299298298298298298298298298298298298298298298298298298298298298298298298298299299299299299299299299299299299299299298298298298298298298299299298299300301300301301301301301300301300300300300301301301301300301301300300300301300301301300301301301301301300301300299299299298298298298297297298298299299298298298297297296297297296296294294295294295295297297296295295295296295294294294294294294295294294295295294295295294294294296296999999999999999999999999999297298999999999999999999999999999999999999999999999999999999999999999999999999299301301301301301301301301302301302303303303303303306304304304306306307306306306307307307307306304305304303303304303303303303303301303304305305305305305306307305303302303303302303303303304303301303303303303303304304303303303303303302303303303302303303303303303303303304304304304303303303303303303303303303304303303303303303303303304305304305305305305305305305304304304303303303303302303302303304303302302303302302303303303303303303303303303303303303302302302301301301302301301302301301301301301301301301301301301301301301302302302302302302302302302302302302303302302303303302302303303304305304304304304304304304303303304304304304304303303303303303303303302303302303302302303303304304304304304303303304304303304305305305305305305305305305304304304304304304304303303303302303303303302302303303305304304304304303303304304304303303303303302301302302302302302302302302302302301302301301302301301302302302302302302302302302302302302302302301301301301301301301301300301301301301300301302302302302302301301300301300300301300300300300300301301301302302302302303303303304304304304304304304305305305304305304304305305304305305305304304304304304303303303302302302302302302301301301301300300300300300300300300300299299300300300300300300300300300299299299298298299298297297297297298298298299298298298298298298298298298298299299298298298299299298299299299298298299299300300300300300300300299299299299298298298297297298298298298297297297297296296296297296296295295295295295295295295294294294294294294294294295294294294293294295294294294293293293292293292293293293293293293293293292292292292294293292292292292292292292292292 999999999307306304304305305305305305305304304303303303303303303303303303303303303304303303303303303303303302302302301301301301301301301301301301301301300300300300300300300300300300300300300300300300300300300300300300300300300300301301301301301301300300300300300300299298298298298298298298298298298298298299299299298298298298298298298298298299299299299299299299300299299299299299299298298299298299299299299299300300300300301301301300300300300300300300300301300301300302301300301301301300301300300301301300301301300298299299299299299299298298298298298299298298298298297297296297295297298294294294295294294295296295296296295296295295295294294294294294294293294294294294294293295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299301300300301301302302301301301302302303303304303304304306306306307307307307307307307306306305304304304303305305304304303303303305304304305307307306306305306304302302302303302303302304303303303304303303303303303303303303302303303303303302302302303303303304304304304304304304303303303303303304303303303304304304303303303303303303304304305304305305305306305305304304303304304304303303303305305303302302303302303303303302303303304303303303302303302302302302301301301301301302301301301301301301301301302302301301301302302302302302302302302302302302302303303303303302303303303303303304305305305304304304304304304304304304304304304304303303303303303303302302302302302303302302303303304304304303303304304304304304305305305305306306306305305304304305305305304304303303304303303303303302303303303304303303305305303303303304304303303303303302301302302302302302303303303302302302302302302302301302302302302302302302302302302302302302302302302302302301301301301301301301301301301301301301302302302302302301301301301300301300300300300301301301302302302302302302303303304304304304304304304305305305304304304305305305305305305305305304304304303303303303302302302302302302302301301301301301300300300300299299299299299300300300299300300299300299300299299298298298299297297297298298298298299298298298298298298298298297298298298298298298299299299299300299299299299299300300300300301299300299299299299299299299298298298298298298297297297297297296296296296295295295295295296296296294294294294294294294294294294294294293293294295294294294293293293293294294293293293293293294293292293293293294294294292292292293292292292292293 999999999307307305304304304304305305304304304304303303303303303304304303303303303304303303303303303303303302301301301301301301301301301301300301300300300300300300300300300300300300300300300300300300300300300300300300300300300300301301301301301301300300300300300300299298298298298298298299298298298299299299299299298298298298298298298298298298299298298298299299299299299299299299299299299299299298299300300300300300300301301301301300300301300301301301300300301301300300302301301300300301300300300300300299301304999299299299298299299299299299299299299298297297298297297297297298297296294296295295294294294294295294295295295296295294295294293293293293293294294294294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301300300301301301302301301301301302301302303303303305306306306306307306308308306306306307306305304304304304304304303304304303305304305304306306305306306306305303303302303304303303304303303303304304303304303303303303303303303303303303302302303303303304304304304304303304304304304304303304304304304304304304303303303303303303303303304304304304305305306306305304304304304306305304303304305305304303303304303303303303302302303303303303302302302302302301302301301301301301301301301301301301300300301302302301301301302302302303302302302303303303302303303302303303303303303303302303303304304305304304304303303304304304304304305304304304304303303303302302302302302302302302303303303303304304304304304304304304305305305305306306305306305305305305305304305304304304303303304303303303303302303303303303303303303303304304305304303303303303302302302302302302303303303303303302302302302302302302302302302303303303303303303303303302302302302302302302302301301301302302302301301301301301301301302302302302302301302301301301301301301300301302302302302303302302302303303303304304304304304304304304304304304305305305305305305305304305304304304304303303303303302302302302302302302301301301301301301300300300300299299299299300300300300300299300299299300300299299298299298297298298298298299299298298298298298298298298298298298298297298298298299299299299299299300300300300299299300301299299299299300299299299299299299298298298298298298298298297296296296296296296295295295295295295294294294294294294294293294294294293293294294295294294294294293293294293294294294294294294294293293293293293294293294293293293292293292292292292 999999999308307305305304303303304304303304304303302302302302303303303303303303303303303303303303303302302302302301301301300300300301301300300301300300300300300300300300299299300300300300300300300300300300300300300300301300301301301301301301301301300300300300300300299299299299299299298298298299299299299299299299298299299299299299299299299298298298298298299299299299299299299299299299299299299300300300300300300300301301301301300300301301301301301301301299301300300301300299300301299300299300301300301301301303300301300299300300300299300299299299298298296297297297297296297296297296295295295295295295294293294295295295295294294294294294293293294294294293294294294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300301300300301301301302302301301301300301301303303303304305306306307306307307307308307307306305305304305305305304305304304304304304304303304305305306306305305305304303303303304303304304303303303303303303303302303303303303303303303302303303303303303304304304304304304304304304304303303302304304303304304304304303303303302302303303303304304304304304305306305305305305305305306306305304305304305304304304304304304304304303302302301303302301302302302301301301301301300301301300301300300301300301301301301302301302302302303303302302302303303303303303303303303303303303303304304303303303303304304304304304304304304304304304304305304304304303303303302302302302302302302302303302303303304304304304305305305305304305305305306306306306306305305305305305305305304304304304303304303303303302302303303303303303303303303304304305305305303303303303303302303302303303303303303303303303302302302303303303303302303303303303303303303303303303303302302302302302302302302302302302302302302301302301301301302302302302302302302302302301302301301301302302302302302302302303303303303303304304304305304304305304304304305305305305305305304305304305304304304304303303303302302302302302302301301301301301301301301300300300300300300299300300300300300300300300299300300299299299298299297298298298298298298298298298297298298298298298298298299299298298299299299299299299299300299299300300300300300300300300300300299299299299298298298298298298298298298298298297297297296296296296295295295294294294294294294294293294294294295295294295295295295295295294294294294294295294294295294295294294294294294294294294294294294292293293292293292292292 999999999999309306305304303303303303303303303303302302302302302303303303303303304303303303304303302302302302301301301300300300300301301301300300300300300300300300300299299299299299300300300299299299299300300300300301301301301301301301301301301301301301300300300299299299299299299299299299299299299299299299299298298299299299298299298299298298298298298298298299299299299299299299299299299299300300300299299299300301301299300300300300300300301301301301301300300301301302301300300300299300300300300300300300301300301301301301301300300300300300299299298297297298298297297297296296296296295295295295294294294294294293295295294294294293294294294295295294294294294294292999999999999999305302999999999999999999301301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301301301301301302302302301301301301301303303303304305306306307307309306307306307307305305304304305305305305304304303305305305304304305305305306307305304304304303304304303304304303303303303303303303303303303303303303303303302302303303303303304304304304304304304305305304304303304304304304303304304304303303303303303303302303304304304304304304305305305305304305305306306306305305303304305305305305305304304304304303303301302301301301302302302300301301301300300300300300300300300300299300301301302302302302302303303303302303303303302303303303303303303303303304304304304304304304304304304304304304304305305304305305304305304304303303303303302302302302302302302303303303303303303303304304305305305305305305305306306305306306306305305305305305304304304305304304304303303303303303302303302302302303303303304304303305305304304304304304303303303303303303303303303303303303303303303302303303303303303303303303304303303303303303303303303303303303302302302302302302302302302301302302303302302302303302302303302302302302302302302302302302302302302302302303303303303303304303304304304304304304304305305305305306305305305306305305305305304304304303303303302302302302302301301301301301301301301301301301300300300300300300301300300300300300300299299300300299299299298299299299298298298298298298298298298299298297298299299298299299298299299299299299300300300300300300300300300300300299300299299299299298298298297297298298298297297298298297297297297296296296295295295294294294294294294294293294294294294294295294295295295294294294294294294294294294295295294295295295294294294294294295294294293294295293294293293292292 999999999999309307305304303303303302302302302302302302302302302303303303303303303303304303303302302302302301301301301300300300300300300300300300300300300300299299299299299299299299299299299299299300299300300300301301301301301301301301301301301301301301301300300300299300299299299299299299299299298298298299299299299298299299299298298298298298298298298299299299298299299299299299299299300299300299299299299299300300299299299299300300300299300300301300300301301300301301300300300300299299298299300300300300301301301301301301301300300299299299298298297297297297298297297297296296296296296295295295295294294293293294294294294293293292294294294294294294294294294294291999999999999298298298999999297301999999298297297299298298999999999999999999999999999999999999999999999999999999999999999999999999999298300301301301301301301302302301301301301302302304302305304305304306306307306306306305306305304304305304303304305304304304304304305304305305306306305305304304304304303304304305304304303303303303303303303303303303303303303303302302303303303304303304304304304304304305304304304304304304304303304304304303303303303303303303303303303303303304304304305305305305305304305305306306306306305305305306305305305305304304304303302301302302302301301301302302301301301301301300300300300300300300300299300301301302302302303303303303303303303303303303303303303303303303303303304304304304304304304304305305305305305304305305305305305304305304304303304303303303303303302302303303303303303304304304304304304305304305304306306306306305305306306306305305305304305305304304305305304304304304303303303303303303302303303303303304305304304304304304304304304304303303303304303303303303303303303303303303303303304303303303303303304303304303303303303303303303303303303303304303303303303302302302302302302303303303302302303303303303302302302302302302302302302302302302302302302302303302302302303303303303303303303304304304305305305305305305305305305304304304303302304303303302302302302302301301301301301301301301301300301301300300300300300300301301300300300300299300300299299299298299299299299299299298298298298298298298298298298298299298298298298299299299300301300300301300300300300300300300300300299300300300300299298299298298298298298298298297297297297297297297296296296295295295294294294294294294294294294294294294294294294294295294294294294294294294294295294294295295295295295294294294294294295295295294294296294294293293292293 999999999999309308306305304303302302302302302302301301302302303303303303303302303303304304303302302301301301301301300300299299299299299299299299299299299299299299299299298298298299299299299299299299300300300300300301301301301301301301301301302301301301301301300300300300300299299299299299299299298298299299299299299299299299299299298299298298298298298299299298299299299298299299300299299299299299298299299299299299299299299299299299299300299299300299300300300300300299299299300300300299299299299300300300301301301301301301300300300299299298298298297297297297297297297297296295295296296295295294295295295293295293294294294292292291294294294294294293293295295294292999999999301297298297999999297999999999298298296296297297297999999999999999999999999999999999999999999999999999999999999999999999999999300301301301301301301302301301300301301301301302303305305305305305305305305305305305305305304304304304304304305304305304305304304304305305305305305305304305304304303304304304303304304303303303303303302302302303302303303303302302302302303304303304304304304305304304304304304304304303303303303303303303303303303303303303303303303303303303304304304304304304304304304305305305306306306306304305305305305305305304303303302302301301302301301301301301301301301301300300300301300300300300300300300300301302302302303303303303303303303303303303303303303303303303303304304304304304304304304304304304304304304304305305305305304304304304303303303303303303303303303303303304303303303304304304303303303305305305305305306306307306306306306305305305305304305305305304304304305305304304303303303303303303302303302303303303304304303303304303304304304304303303303303303303303303304304304303303303303303303303303303303303303303303303303303303303303303303303303304304304304303303303303303302302302302302302302302302302303302302302302303303302302302302302302301302302302302302302302302302302303303303303303304304304305305305305305305305305304305304304303303304303302302302302302301301301301301301301300301301300301301300300300300301301301302301300300300299300300300300300299300299299299299300298298299299298299298299298298298298298298298298299299299300300300300300300300300300300300300299300300300300300300299299298298298298299298298298298297297297297297297297296296295296295294294293294294293293294294294294294294294294294294294294294294294294294294295294294295295295295295295295296295296295296295295294295294294294293293294 999999999999999306305305304303302302302302302302301301301302302303303303303304304304304304302301302301301301301300300300299299298298298298298299299299299299299299299298298298298298299299299299299299300300300300300301301301301301301301301301301301301301301300300300300300300300300299300299299299299299299299299299299299299299299299299299299298298298298298298298298298298299299299299299300299300299299299299299299299299298298298298298298299299298299300300300299299299299298298299299298298298299299300300301301300301300301300300300300300299298298298298298297297296297297296296296296296296296295295295295294293294295295294294293295295292293293293293293294295295293292999999301299297297294296298296296295999297297297296296296297999999999999999999999999999999999999999999999999999999999999999999999999999300301301301301301301302302301301300301301302302303304304304304305305305305306305304305304304305303304304304304305305305304305306305305305305305305305305305304304303303303304304303303303303303303303302302302302302303303303302302303304304999303304304304304304304304304304304304304305304303303304303303303303303303303303303303303303303304304303304305304304304304305305305305304305305305305306305305305305305303303302302302302302302301301301301301301301301300300300300301301301300300300300300300301301302302302303303303302302303303303303303303303303303303303304304303304304304304303304304303304304304304305305305304304304304304304304304304304304303303303303303304303303303303303304304304305305305305306306306307307307305305305306305305305305306305304305304303304305304304304303303303303303302303303303303302304304304303304303304304304304304304304303303303303303303304303303303304303304304303304303303303304303304303303303303303303303303304304304304304304304304303303303303302302302302302302303303302303302302302302303303302302302302302302302302302302301302302302303303302303303303302303303304304305305305305305305305305305305304304304304304303303303302302302302301301302301301301301301301300301302301301301301301302301301301301300300300301300300300300300300300300300300300299299299299299299298299298298298298298298298299299299299300300300300300301301301301300300300299300300300300299300299299299298298299298298298297297297297297297297297297296296296295295294293294294294293294293294294294294294295295294295295295295295295294294295295294295296296295295295296295296296295295296297296296296295295296296294294 999999999999999305305304304305304302301301301302301301301301302302303303304304304304303302302302301301301301300300299298298298298298297297298298298298299298298298299298298298298298298298299299299299299300300300300300301301302301301301301302302301301301301300300300300300300300299300300299300300299299299299299300300299299299298299299299299298299298298298298298298298297298299300300300300300300300299299299300299299299299298298298299299299299299299299299299299298298298298298298298298298299300300301301301301300301300300301300300300300299299298298298298297297297298296296296295296296296296295295296296294294294296293294294293293293294294294292292292295295294293999999999999297296296295999294295294293294296296296296296295296296999999999999999999999999999999999999999999999999999999999999999999999999300301300300300301301301301302301301302303304305303305303304303304304305304304304303303304304304305305305304304304305305305305306306305305307306306306305305304305304304304304304303303303303303303303303303302302302302303303302303303304305303303303303304304304304304304304304304305304304304303303304303304303302303303303303303303304304304303303303304304304304305305304304305305305306306306306305305305305304304303303303302302302302302302301301302302301300300299300300299300300300300300300300301301301301301302303303303302302303303303303303303303304303303303303303304304304304304304304304303304303304305304304304304304304305304304304304304305304304304304304304304304304303304303303303304305305305306306306306307307306306306306305306306305306306305305303304304304306304304303304303304304303305304304304303303303303303303304304304303303304304304304304304303304303303303303304304304304304304304304304304304304304304304304304304303303304304304304304304304304304304304303303303303303303302302302303303302302302302302303302303302302302302302301302302302302302302302302303303303303303302303303303304304304305305305305305305305305305305305305304304303303303303302302302301301301301302302301301301301301302301301302302302301300301301300300301300301301301301301301300301300300300299300300300300300299299299299299299299299299299299299299300300300300301301301301301301301301300300300300300300300300299299299299299299299299298298298298298298297297297297296296296296295295295294294294294294293294294294295295294295295295295295295295295295295294295295295296295295295296296296296296297296296297297295295296296295296295295 999999999999999305305305304305305303301301301301301301301301302302302303303304303303303303303302301301301300300300298298298297297297297297298298298298298299298298298298298298298299299299299299300300300300300300300301301302302302302302302302302301301301301301300300300300300300300300299300300300300299299299299299299300299299299299299299299299298298298298299298298299298298299300300301300300300300300299299299299299299299299299298299299299299299299299299298298298299298299299299299299299299300300300301301300302302999999302300300299299299298298298298298298298297297297296296297296296295295295295296295294294295294294294293294295295295295293293292295295295292291999999999299297296295295294293294295294295297296296295294293294296999999999999999999999999999999999999999999999298999999999999999999999999300300300300300301301301302302302302304302303303303304303303304304304304303304304304304305304305305305305304305305305305305304305305307306307306306306306306305305305304304304303303303303303303303303303303303302302303303303303303303304302303303304304303304304304304304304304304304304304304304303304304304303303303303303303303304304304304304304304304304304304304305305306304304306307307306306306306305305304304303303303302301302302302303302302302301301301300299299299300300300301300300301301301301301302302302302303303303303303303303303303303304304304304304303303303305304304304304304304304304304304305304305305305304305305305304304305305305305305305305305305305304303304304304304303304305305305306306306307307307307306307307306307306306306306305305306305305305305305305304304304303304304304304303304305303304303303303303303303304303304304304304305304304304304304304304304304304304304304304304304304304304305305304304304304304304304304304305305305305305305304304304303303303303303303302302303303303303303302303303303303302302302302302302302302302302302302302303303303303303303303303303304304304305305305305306306306306306306306305305305304303303304302303303303302302302301302302301302301302301301302301302301302301302301301300300300301301301302301302301302301301301299299300300300300300299300300300299299298299299299300299299300301300300300301301301302301301301300300300300300300300300300300300300299299299299299298298298298298298297297297297297296296295295295294294294294294294294294294294295294294296296295295295296296296296297295295296296296295296296296296297296296296296296296296295295296296296295294 999999999999305305304304305304304304302301300300301302302302302302302302303303303303303303303302302301300300300299298298297297297297297297297298298298298298299298299299299299299299299299299300300300300300300300301301301302302302302302302302302301301301300301301300300300300300300300300300300301300300300300300300299299299299299299299299299298299299300298299299299299299299299300300300300301301300300300300300300300300299300300300301300300300300300299299299299298299299297299299300299299300300301301301302302301301999302301300300299300300299299298298299298297296297297295295295295295295295294294295296294294296294294295295296296295295293291295294295295294291999999999300299296295295294294294295294295296296297297296295295293999999999999999999999999999999999999999999999999294295999999999999999999297300301300300301301302301302302303302302303303303303303303304304304304304303304302303304304305305305305305305305305305305305304305306307307307306306306306306306305304304304303303303303304303304304304303303303303303303303303303303304303303303304304304304303304304305304304303304304304304304304303304305304303303303302303303304304304304304304304305305304304304304304305306305305306307308305306306306305305304303303303303303302302302302302302302302301301301301300300300301301301301300300299301301302302302302302302303303303303303303303303303303303304304304303304304304304304304304304304304304304305304305305305305305305305305305305305305305305305305305306305305305304304304304304304304305305305305305306306307307307307307307307307307307307307306305305307306305305305305305305304305304304304304304304304304303304304304304303304304304303304304304305305304304305305304304304304304304304304304304304305304305304304304304304304304304304304304305305305305305305305305305305304304304304304303302303303303303304303303303303303303303303303303302302302303303303303303303303303303303303303303303303304305305305305306306306306305306305305305305305305305305304304303303303303303303302302302302302302301302301302302302302302302302301301301300301300301302302302302302302302301301301301300300301301301300300300300300300300300300300300300300300300300301300299301301301301301300300300301301300300301301300300300300300300299299299299299299298298298298297297297297297297297296296295295295296295295294295295295295295295295296296295296296297297297296296296295296295295296296297298297297296297297296296296297296296297297296295295 999999999999999999999303303304304304303302300301301301301301301301301302302302302303303303303303303301301300299298298297297297297297297297298297298298298298298298299299299299299300299300299300300300300300301301301301301301302302302302302302302301301301301301301300300300300300300301301300300300300300300299299299300300300300300299300300300299299300299299299300300299299300299300300300300300300300299300300300300300301300300301301301300300300299299300300300300299299298299299299299300299299299300301301302302302302302303300300301300300300300299299298299297296296295296295296297297297296296295295296295295296296296296296296296296296294293293295294294293292290999999999300298296294295295295296295295296296296297297296296295999999999999999999999999999999999999999999999999297999296298999999999999297298300300300300301301302302303302302302302302303303303303303303303303303303303304304304305305305305305305305305305305306305305305306306306306306306306305306306305305305304304304303304303303303303304303304303303303303303302303303303303303303304304304304303304304304305305304304304304305305304304305304304304304304303304304304304304304304304304304304305304304303303303304305305305306306308306307307306305304303303304303303303302303302302302302302302301300301301300300300301301301301301302302302302303303303303302303303303303303303303303303304304304304304304304304304304304304304304304304304304305305305305305305305305305306306306306306305305305306306306306305305305304304304304304304305305306306305305305306306307307307308307308308307308308308307307308307307307305305306306305305305304304304304304304304304304304304304304304304304304304304304305305305304305305305304304305305304304304304305304304304304305304304304305305305305305305304304304305305305304305304305305305304304304304304304303304304304304303304303303303303303303303303303303303303303303303304303303303303304304303304304304304304305305305305306306306306305305305305305305305306306305304304304304304303302302302302302302303302302302302302303302302302302302302301302301301302302302302302302302302302302302301301301301301300301301301301300300301301301301300301301301301301301301301301300300301300301300300300301301301301301301300300300300301300300300299299299299299299299298298297297296297297297297297296296296296296295295295295295295295296296296296296296296297297297296296296296296296296297297298297297297297297297297296296296296296296296296295295 999999999999999999999999303305304304304302300301301301300300301300301301301300302303303303303303303302301299298297297297297297297297297297298298297298298298298299299299299300300299299299299300299300300300301301301302302302301302302302302302302302301301301301300300300300300300300300300300300300300300299299299300299300299300300300300300300300300300300300299300300298298299299299299301300301301300299299300300301301300300299300300300300299300299299300300301301300300299299300299300300299300300300300301999302303302999302301301300300300300299299299299298298296297298299298297297298297296297298295295297296296297296296297298297297296294294296295294294292293291286999999295296294294295295297296296295296296297297296297297295999999999999999999999999999999999999999999999298297999298299999999999298298299300300300301301302303302303302302301302303303302302302303303303303303303303304303303304304305305304304305304305304305305305305305306306305306306306306306305305305304304303303303303303304303304304304303303303303303303303303302302303303302304304304304304304304304305305304304304304305305304305305305304304304304304304304305305305304304304305304305305305304303303302303303304305305306306306306306306305304304304304303303304303303303302302302302301302301301300301301301301302302302302303302303304304304304304303303304304304304304303304304304304304304305304305304304304304304304304304304304305305305305305305305305305306306306306306306306306305306306306306306305304304304304304304304304305306306306306306307307307307308308308308308308308308308307307308308307307306305305305304304304304304304304304304304304304304304304304304304304304304304305305305305305305305305305305305305305305305305305304304304305305305304305305305305305305305305304305305305305305304304305305305305304304305304305304304304304304304303303303304303303303303303304304303303303303303303304304304304304304304303304304304305305305305305306306306305305305305305305305305305305305305305305304303304303303303303302302302303303302302302302302302302302303304302302302302301302302302302301302302302302302302302301301301302301302301301301301301301301301301301301301301302301301301301301301301300300299300301301301301301301301301301301300301300300300300300299299299299299298298298298297297297297297297297297296297296296296295296296296296297296296296297297298297296297296297297297297297296296296298296296296297298297297296296295296296296296296295295 999999999999999999999999999999303303303999301299298299301302300301301301301301302302303303302302303301300298297297297297297297297297297297297297297297297297298297298298298299299299299300299299300300300300301301301301302301301301301302302301302301301301300300300300301300300300300300300300300300300300300300300300300300300299300300301300301301301301300300299299300299299299299299299299300300300300300300300300300299299300300300300300301300300299299300300300300300300300300300300300300299300301301302300999301301999999303302301300298300300300300299299298299299298298298298297297298297297298298297298297296296296296295298298297296294293294295294294291291292291289289289291292293294296297297297295295296297296296297298297295999999999999999999999999999999999999999999298298299298299300301999298299299300301300301301302302302301302303302302302302302302302302302302303302302302303302303304304304304304304303304304303304304304304305305305305305306306306305305305305304304304303303303303303303304304304304303303303303303303303303303303304303303303303304304304304304304304304304304304304304305304305304305304304303304304304305304305304304304304304304304304304304304303303302302304304305305306305306306306305305304304303303303304302303302302302302302302302302301301301301302301300301302303303303303304303303304303303303304304304304304304304304304304304304305305304304304304304304304304304304305305305304304305305305306305306306306306306306307306306306306306306305304304304304304304304304305305305305306306306307307307307307307308308308308308308307307307309307308307307307306305305305305306305304304304304304304304304304304305304304304305305304304305305305305305305305305304305305305305305305305305305305305305305305305305305305305305306306306306306305304999999304305305305305304305305305305304304303304304304303303304304304303303303304304304303303303303303304304304303304304304304304304304304305305305305305306306306305305305305305305306306306306305305305305304303303304303303304303303304304303302303303303303303302302303303303302302302302301302302302302302302302302302302302302302302301302302301301301302302301301301301301301301301302302302301302301301301300300299301301300301301302301301302301301301301300300300300300300299299299298299299299298297297297297297297297297296296296295296296296296297296297297297296297297297298298295295295295296296297297297297296297296296297298297297296296296295295295295295295295 999999999999999999999999999999999999999999999999298299300300301301301301301302302302302303302302302301299297297297297296296296296296296297296296297297297297297298298297298297298299299298299299299299300301301301301301301301301301301301301301301300300300300299299299299299300299300299300299300300300300298300300300300299300300301300300299299300300300300298299299300299298299299299299300299299300300300299300300299300299299300300300300300299300300300299300300300301301298299299298298299300300300301301999999301301999999305304301301300300300300300299300299300300299299298298298297297297298298298298298298297297296296295296297296295294292291290290290290290290289288287287289290294297297297297295294296295294295296296298296294999999999999999999999999999999999999999999297298299299300300300999299299299300301300301301301302302302301302302302303303302303301301301301302301302302303302303303303303304304304304302304303303304305305304305305305305306306305305304304304304304304303303303303303303303304304303303302303302303303303304303303303303304304303304304304305304304304304303303303304304305304305305305304303303304304303305305304304304304304303303303303303303304303303302302303303304304304305306305305305304304304304304304304303302302302303303301303301301302302302302302302301301302303303303303303304304303303304304305305305304304304304304304304304304304305305305305305305304304304304305305305305305304305304305305305306306306306306307307306306306306306305305305305304304305304304304305305306306306306306307307307307307307307308308308308307308308309309309308308308308307306306305305305305305305304304304304304304304304305305305304304304305305305305305305305305305305305305304305305305305305305305305305305305305305305306306305305306305306306306305305305305304306305305305304305304305304305304304304304303303304303303303303303303304304304304303303303304304304304304304304304304304304304304304305305305305306306306306306306306305306306306306305305305305305304304304304304304303303304304304303304304303303302302303303303302302301302303302302302302302302302302302302302302302302301302301301301302302302302302301301302301301301301301301301300301301300301301300300300301301301300301300300301301301299299300299299299299299299298298298297297297297297297296296296296296295295295294294295295295296295296297296297297297297296297297296296296295296296296296297296297296296297296296297296296296296296295295294294294294295 999999999999999999999999999999999999999999999999999300301300300300300300301301301301301302303302302301298297297297296296296296296296297297297297297297297298298298298298298297298298298298299299299299300301300301301301301302301301300301300301301300300300299299299299300299300299299300300301300300300300300300300300300300301300300300300300300300301300299299299299299298299300300298299300299300300300300299299299299300300299301300301300300298299300300299300300299300300300300298299298299300300299300301999999301999999999999303302303300299300299300299301300299298298297297296296297297296297296296297297298297296296296295296296296295292288289288289289289287286286999999999289292296297298297296296295295295294294295296296296295999999999999999999999999999999999999999999298298299300300300300999298299300301302302301301301301302302302302302302302302302301300302301302301302302301301302303303303302303303302303302303302302303303304304304304305305305305305305304303304303304303303303303303302302303303303303302302303302302303302303304304303303304303304304303304304304303304302303303303304304304305304305304304304302303304304304304304304304304303303303303303302303302302302303303302302303303304305305305306305304304304304304303303301302302302303302302302302302302301302302301301302301301302303303304304304303305304305304304305305305304304304304304304304305305305305305305305305305304304304305305305305304304304305305305305306305306306306307307307306306306306306306305305305305305305305305304306306306306306306307307307307307307307307307308308307308309308308308308308308308308308307307307306306305305304304304304304304304304304304305305305305305304305305305305305305305305305304305305304304305305305305305305305305305305305305304305305305305305306305305305304304304305305304304304305304304304304304304304303303303304303304304303303303304304304303303304303304304304304304303304303303303304304304304304305305305305305305305306306305306306305305305305305305305305305304304304304304303304303303303303303303303302302302303302302302302302302302302302302302302302302302302302302302302302302302302302302302302302301302301301301301301302301301301301301301301301300301300301300301301301300300300301300301301300299300300300299299299298298298298297297297298297297296296296296295296296295295295295296296296295297297298298298297297296297296297297297296296297297298297297297297296296296296297296296296295296295295295294294295296 306999999999999999999999999999999999999999999999999301301300300301300301301302302301301302303302301300297296296296296296296296296296296297297297297297298298298298298298298297298298298298299299299300300300300300300301301301301300300300300300300300300300299299299300300300300300299300300300300300300300300301301301300300300300300300300300301301300300300300300299299299300300301300300301301301300300300301302300299302301300302301300301299300298300299299299300300300300299299297298299299300300300300999999999999999999999999999999301300300300299299300300299299298298297297297297297298297297296296296297296297296296296295297296294291289289289288288287287286284284999999999294295295296296297296296296296294294294295295296296295294999999999999999999999999999999999999999999296299300300301299999298298300301301301302301301301302302302302302302302302301301302301302302302302302301301302302302302302302302302301302302301302302303303303303304304304304304303303304303303303303303302303303303302302302302302302302302302302302302302303303303303302302303303303303303303303302302302302303303303303303303304303303303304302302302303304303303303303303303302302301302302302302301301301302301301302303302304305304304304304303303303303302302302302301302302302302302302302301301301301301301301302302302303303303304304304304304305304305305305305304304304304304304304304304304305305305305305305304304304304304304304304304304304304304305305306306306306307307306306306306306306305305305305305305305305306305305305306305306306306306307307307307307307307307307308308308308308309308308308308308308308308308307306306306305305304304304304304304304304305304304304304305304305304304305305305305304304305305304304305305305305305305305305304305304304304304304305305305305305305305305305304304304304305304304304305304304304304304304304304304303304303303303304304304304304304304304304304304304304304303303303303303303303304304304305305305305306306306306305305306306306305306305306305305306305305305304304304304303303303304303303302303302303302303302302302301302302302302302302302302302303303302302302302302302302302302302302301302301301301301301301301301301301301301301301301301301301301301301301301301301300300301300301301301300300300300300299299299298299299298298298297297297297297296296296296296295295296295295297297296296296298299298297298298297297297297296297297297297298298297297297297296296296296296296296296296295295295295295296296 306999999999999999999999999999999999999999999999999999302300300301302302301302302302302302303302301299297296296296296296296296296296296297296297297297298298298298298298298298298298298298299299300300300301301300300301301301300300300300301301300300300300299299299299300300300300300300300299300300301300301300300301300301301299300301301301301300300299300300300300299300301301300300299300301301301298302299300300300302301301300300301301301300301302299299300299299300299299300299300300299299300300300999999999999999999999999999999999999300300299300299298298298298297297298299297297297297297296296297297297297297297298297295294291289289290289287285286286286286286999999293294295295295296294295294296296296296296297297297296294999999999999999999999999999999999999999999999999299300300301300999298299301301302301302301300301301302302303303302302301302301301301302302302302302302302302302302302302302303303302302302302301302302303303303303303304304303302302302303303303303302302302303303303302302301301302300302302302302302303302303303303302302304304304303303304302303303301303302303303302303303303303303304304302302303302303303302303303303302302301301301301301301302301301301301301301302302302304304304304303303303303303302302302302302302302302302302302301301301301301301302301302302302303303303304304304304304304305305305305305305305305305305305305305304304305305305305305305305305304304304304304304304303304304304305306306306306307306307306306306306306306306306305305306305305306306306306306306306306307307307307307307307307307306307307308307308308309309308308308308308308308308308308307307306306305304304304305304305305304305305304305305305305305305304305305305304304304304305305304305305305305305304305305305305305304304304304305304305305305306306306305305305305304305305304304304305304304304304304304305304304304303303304304304304304304304304304304304304304304304304304304304304304304304304304305305305305306306306306305306306306305305305305307306305305306306306305305305304304304304305304303304303303302302302303303302303302303302302302303302303302302303303303303302302302302302302302302301302302302302301301301301302301302302301301302301301301301301301301301301300301300300300301301301301300301300300300300299299299299299299298298297298297297297297296296296296296296296296296297297297296296297297298296296297298298297297297297297297297298297297297297297297297297296296296296296296295295296296295295295 306999999999999999999999999999999999999999999999999999999300300299301299300300300300300300300301300298295295295296295296296295295295296296296296297297297298298298298298298298298298298299299299299300300300300300301301301300300300300300300300300300300299300299299299299300300299300299299300299299300300300301300300300300300300300301300300301300300300300300299299300300301301301299300298299302302302301302302302303300300300301302302300302299298299299299300299300300300300300299299300298300301999999999999999999999999999999999999999999301301299298298298298298298298298298298298297298297297296296297297297296296297298298296292290288288290288284285285285287286287287291294295294295296295293295296296296297297297297297297297296294999999999999999999999999999999999999999999999300301300300299299298300301302301301301302300301301302302303302303302302302302302302302302303302302302302302302302302302302303302301302302302302302302302303303303303303303303303302302303302303303302302302302302302302302302302301302302302302302302302303303305304303303304303303303304304302303303302303303304302302302303303303303303303303303303303304304303303303303303302302301301301301301302301301301301301301301302302304304303303303303303303303303302301302302302302302302302302301302302301301301301301301302302303303303304304304304305304304305305305305305305305305305305305305305305305305305305305305305305304304304304303304303303304304304305306306306306307307307307306306306306306306307306306306305306306306306306306306306306307307307307307307307307307307307306308308308309308309308308309308308309309309308307306307307306306306305305305305305305305305305305305305305305305305305305305305305304305304304304304304304305305305304305305305304304304304304304305305305305305306306305306305305305304305305305304305304304305305304304304305305305304304304304304304304304305305304305304304304304303304304304304304304304304305304304304305305305306306306306305306306306306305306305305305305305305305306306306305305305305304305304305304304303303302303302303302303304304303302302302303303303303303303303303303303303303303303302302302302302302302302302302302302302302302302302302302301301301301302301301301301300300300301300300301301301302301301301300300299299300300299299299299298298297298297297296296297297296296296297296296296296296297297297297296297296296297298297297297298297297298297297297297297297297296296296297297296295296296295295295295 306306999999999999999999999999999999999999999999999999999999299299298299299300300300300299300300299296295294295295295295295295295295296296296297297297297297297298298298298298298298298298298299299300300300300300300300300301300300300300300300300300300299299299300299299299299299299299299299299300300300300300299300300301300301301300301301300299300300300299298299299298299300300299298298298299298299298299299299302300298299299302301299300300301299299299299299300300299299299299299299299302999999999999999999999999999999999999999999999302302300298299299297299299299299298299298297298296296297297297297296297296299297294290289289287287290290287285284284283285288292295296294294295295296296295296298297298298298298298299298297297298999999999999999999999999999999999999999999999300300299300299299301302302301301302301301302302302302303303303303302302303303302302303303303301301302302302302302301302302302302302301302302302302302302302302303303303303303302302302302302302302302302302302302302302302301301302302302302303303303304304304303303304303304304304304304303302303302302303303302303303303303303302303303303303302303303304304303303303302302302301301301301301301301301301301300301301302302302304303303303302302303304303302302302302302302302302302302302302302302301301301301302302302303303303303303304303304304304304304305305305305306305305305305305305305305305305305305305305305305304304304303303303303304304305305306306306306306307307307307307307307307307307307306306306306307307306306306307307307307307307307307307307307307307307307308307308308309309309309309309310309309309308307307308307308307307306306306305305305305305305305305306305305305306306305305305305305305305304304305304304305305304304305305305304304304304304305305305305305305306306306306306306305305305305305305305306305305305305305304305304305305305305304304304304305305305305305305304304304304304305304304304304304305304304304305305305305306305306306306306305305306306305305304304304305305306306306306305306305305305305305304304304303303302303303302303302303302303303303302302302303303303303303303303302303303303302302302302302302302302302302302302302302302302301301301302300300301302301301300300300299300300300300300299301301301301301300301300300300300300300299299299299298298298297297297296297298297296296295295296296296296297296297298297297297296297296297298298299298298297297297297297297296297296296297296296296296296296296296295295 306306306999999999999999999999999999999999999999999999999999999999999301298299299300301301300300299295294294294295295295295295295295296296296297296296296297297297297298298298298298298298299299299300299299300300300300300300300300300300300300300300300299299299299300299299299299299299299299299299300300300300299300300300300300300299300300299300299299299298297299299299299298299299299298297298297298298300298297298299299299299299299299299300298298298299299299300301301300299299299300300302999999999999999999999999999999999999999999303303303301300300300300299300300298299298298297297297297296296296296296297297296292289288291288287285287288287286284285284285288293295294294294295296296295296295298298298298298298298299299299299299299999999999999999999999999999999999999999999298299298299299299300301301302300302301301301302302302303303303303303303303302302302302302303303303301302302302302301302302301302301301301301302301301301301301302303302302301301301301301301302302302302302302302302302302302301301301301303303303303304304304303303303303305304304304303304303303303303303303303303303303303302302303302303303302303303303302302303302302302301300301300300300300301301301301301301301301302302302302302302303302303303302302301302303303302302302302301302302302302301301301301302302302303303303303303303303303303304304304305305305305305305305305305305305305305305305305306305305305305305305304304304304304304304305305305306305306306307307307307307307307307307306306306306306306307307306307307307306307307307307307307307307307307306307307308307307308308309309308309308309309309308307307308307307308307307307306306305306306305305305305305305305305305305305305304305305305305305304304304304305305304304304304304304304303304304304305305305305305305305306306306306306305305305304305305304305304305305305304305304304304304304304304304304304305305305305305305304304304304303304304305304305305305305305305305304305305305305305305306306306306305305305305305305305305306306306306305305305305305305305305305304303303303303303303303303302302303303303303303303303302303303303303303303303302302302302302302302302302301302302302302302302302302302301301301301301301301301301301300300300300299300300299300300300301301300300300300301300300300300300300299299298298298298297297298297297297297297296296296296296296296296296298298298298297298297297298299299298299299298297297297297297297296296297297297297297297296297296296296296 306306306999999999999999999999999999999999999999999999999999999999999999298298299300300300300300298294294294294295295295295295295295296296296296296297297297297297297298298298298298298298299299299299299299300300300301300300300300300300300300300299300300299299299300299300299300299299299299299300300300300300300300300300300300300300300300298299299300300300299299299299298299299299299297297298298298298298298298299299299299299299299299300300299300299299299301300300300300300300300299302999999999999999999999999999999999999999999999301302302302301301300300299299299298298298298297296296296295296296296296295296291289288288289288284283999289286285284282285287288291292292293294295296297296296297298299299298299298299299299299299299299297295999999999999999999296295999999999999297298298298298299300301301301300301300301302301302303303303303302302303302302302303302303303304304303303302303302301302301301301301301301302302301301301301301301302302301301300301301301301301301301301302302302302302302301302301301301302303303303304303303302302302303304305304304304304303303303303303303303303303302303302302302302302302302302301303302302302301301302301301300300299300300300301301301301301301301301301301302301302302302303302302301302301302302302302301302301301301301301301302301301301301302302303303303303303303303303303304304304305304305304305305305305305305305305305305305305306306305305305305305305304304304304305305306306306306306306306307307307307307307307307307306306306306306306306306307307307307307307307307307307307307307307306306307307307307308308308308309309308308308308308308308307307307307307307307306306306306306306305305305305304305305304305304305304305305305305305304304304304303303303303304304304304303304304304304304305305305305305306306306306305305305305305305304304304304305304305304305304304304304304304304304304304304305305305304304305304303304304304304304305305305306306305305305305305306306306306305306306306306306305306306305305305305305306305305305305306305305305305305306305305304303304304303303303303303302303303303303303303303303303303303303303303302302302302302302302302301301302303302302303302302303303303302301301301302302302302302300300300301299300300300300299300301301301301300300301301300301301301300299299299299298298298298298297298297298298297297297297296296297297297298299299298298297297298298298299299299299299298298297297297297297297296297297297297297297298297297297296296 306306306306999999999999999999999999999999999999999999999999999999999999300299298298299300299299297294293293294294294294294295295295295295295295296295296297297297297298298298298298299299299299299299299300299300300299300300299300300300300300300300300300300300300299300300300300300300300300300300300300300300300301300301300301301300300300298299298300299300299299299299298299298298297298297298298298298298298299299300299299299299299299299298299299298300301299300299299300300300301300301999999999999999999999999999999999999999999999999301303999304302301300299299299298298298297297297297296296296295295296290294288289288289290288283999999999999999289289291291292293293294296297296296297296297298299300300300299299300299299299299299299298296294292999999999999296295999999999999297297297298298299301301302302300301301301301302302302303303302303302303302302303302302303303304304303302300302301301301301301301301301302302302301301300301301301301302301301301301301301301301301301301301302302302302302302303302301302302302303304303303303305303304305305306307304304304304304303303302303303303303303303303302303303302302302301301302302302302302301301301301301300300300300301301301301301301301301301301301302302302303303303302302301302303302302302301301301301301301301301302302302302302302302302302302303303303303303304304304304304304304304304304304304305305305305305305305305305306306306306305305305305305305305305305305306306307306306306307307307307307307306307307307307306306306306306306307307307307307307307307307307307307307307307307307307307307307308308308308308309309310309308309308308308307307307307306307307307306306306306306305305305304305305305305304305305305305305305305305304304304304303303303304304304304304304304304304304305305305305305306306306306306306305305305305305304305304305305305304304304304304304304304304305304305305305305305305305305305304305305305305305305305306306306306306306306306306306306306307307307306306306307306306306306305305305306306306306305306306306305305305306305306305305305304303304304304303303303304303303303304304304303303303303303303302302302302301301302302302301302303303303303302302303303302302301301301302302301302302301301301301299300300300299299300300300300300300300300300300300300300300299299299299298299298297299298298298298298297297297297296296296296297297298298297297296297298298298298298298298298298298297297296296297297296296297296297297297298297297297296296 306306306306999999999999999999999999999999999999999999999999999999999999999300299300299299298298296294293293294294294294294294295294295295295295295295295296296296297298298297298298299299299299299299299300299299299299299299299300300300300301300300300300300300300299300300299300300300300300300301300300299300300300301301300300300300300299300299299300299299299298299298298298298297298298297298298298298298298298299299299299299298298298298298298299299298298299299298299301302302301302999999999999999999999999999999999999999999999999999999999999999303299298298298298298298297296296297296295294296293292292291290291290290290290287283282283287291289294293294295295295295297297298296296295296297299299300300300300300300300300299300299298298297296294293291294292293999999999999296297297298298298299299301302300301302301301302302301302303303303303303303303303303302302303303303303303301301300302302302302301301301300300300301301301301300300300301302301301301301301301301301301301301301302302302302303303303303303302302303303304304303303303304305304305305306304304304305304304304303303302302302302302303303303303302302303301302302302302302302302302302301301301300300301301301300302301301301301300301300301302303303303303303302302302303302302302302301301302302302301302302302302303302302302302303303303303303303304303304304304304305304304304304304304304305305305305306305306306306306306306306306306306306306305306306306306306306307307307307307307307307307307307307307307307306306306306307307307307307307307307307307307307307307308308307307307307307307308308308308308310309310309309309309308308307307307307307307307307307307307307307306306306305305305305305305305305305305305305305305305305305304304304304304304304304304303303303305304304305305306306306306306306306307305305305305305306306305305304305304304304304304304304304305304305305305305305305305305305305305305305305306306306306306307306306307306307306306307307307307307307307306306306306305305305305305305306306305305305305306306305305305305305305305304305304304304304304303304303303303303304303304303303303303303303303302302302302301301301301301302302303302303303303303303302302301301301301301301301302302301301301301300299300300299300300300300300300300300300300300300300300299299300300299298298298297299299299298298298298297297296296296295297296297298298298297297298297298298298298298298298298298297297297297297296297297297297298298298298298298297297296 306306306306999999999999999999999999999999999999999999999999999999999999999999300298299299297297295293292293293294293293294294294295294295294295295295295295296296296297297297297297298299299299299299299299299299299299298298299299300301300301300301300300300300300300300300300300300301301301301301300300301301300299301301300301300300301300300300300300300299299299299299299299298298298298298298298296298299298299299299299299299299298298298298298298299299299300299299300302302303302999999999999999999999999999999999999999999999999999999999999304306300999999298297297298298297296296296296296294294295294294293293292292291292290287284282283289293296297294297296296296298298297296296297296296297298298299299300300300300299299299298296297297297298298297295294293294999999999297297297297297298299299300300301300301301301302302302302302303303302303303303302303301302302303303303303302302302302302302301302301300301301301300301300300300300300300301301301300301301300301301300300301301301301301302303303303303302302302301302302303303303303304304305305304305304304304304305305304304303302303302302301302303303303302302303302302302302302303302302303302301301301300300300301301301301301302301301300300300300301302302303302303303302302303303302302302301301301301302301301301301302302302302302302303303303303303303303303303303304304304304304304304304304304305305305305305305305305305305306306307306306306306306306306306306306306306306306306306306307307307307307306307307307307306306306306306307307307307307307307308308308307307307307308307307307307307307307308308308309309309308309307308308308308307307307307307307307307307307307307307307306306306306306306306306305305305305305305305305305305305305304304304305305304305304304304303304304304304304304305305305306306306306305305305305306306306306305304304305304304304304304304304305305305305305305305305305305305305305305305306306306306307306307307307307307307307307306307307307307307307307306306306306305305305305305306306306305305305305305305305305306305305305305305305304305304304304304304304303303303303303303303303303304304304303303303302302302301301302301302302302303303302302302303302302302301301301301301301301301301300301300300300300300299300300300300300300300300300300300300300300300299299299299299298298298298299299299299298298298297297296296296296296296297298297297297297297297297297298298298297297298297297297297297297297297297296297298298297297297297297297 305306306305999999999999999999999999999999999999999999999999999999999999999999999298297298297297295292292293293293293293293293294295295295295294294294294295295294296296296297297297297298298298298298297298298298299298298298297298299299300299300300300300300300300299299300300299300300300300300300300300300300300300300300300301301301299300299299299300300300299298299299299298298298298298299299299298299298298298298298299299299299299299299300300300299298298299298300301300302301300999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299297297296296295295295295295295295294294294293294292289285282282291294297299299298298297298298299298298296299295296295297297298298297299299299299299298298298299298298297298298298296296294296294999295296298298298298299299300300299300300301303302303303302303303303303303303303303303303302303302303303303303302302302302302302301302301301301302302302302301301300300300300300301301301301301300300300300300300301301301301303303303303303303302302302301302303304303304304305305305305305306305304304305305305303302302303303303302302303303303302302303303303302302302302302302302302301301301301301301301301302302301301301300300300301301301302302302302302303302303303303302303302301301301301301301301302302301302303303303303303303303303303303303303303303304304304304304304304304304305305305305305306305306305306306306307307307307307307306307306306306306306306306306306307307307307307307307306307307307307307306307306306307307307307307307308308307308307306307308308308308308307308307308308308309309309309309309309308308308308307307307307307307307308308308307307308308307307307307306306306306306306306306306305305305305305305304304304305304304304304305305305305304304304304304305305305306306306306306305305305305307307305305304305304305305305305305305305305305305306306306306306306305305306306305306306306306307307307307307307307307307307307307306307306307307307308307307307306306306305305305305305306305305305305305305305306306306306305305305305304305305304304304304305304304304303303303302302303303303304304303303303303301302302302302302302302302302302302302302302302302302302302301301301301301301301301300300300300300300300300300300300300300300300299299299299299299299299299299299298298298298298299299298298298299298298296296296296296295296296297296297297297297297297297297298298297297297297297297296296297297296297297298298297298298298297298297 305306306305999999999999999999999999999999999999999999999999999999999999999999999999999298297297296293291293293292292293293294294294295295294295295295295295294294295295296296296296297298297297297297297298298298298297298298298299299299299299299299300300300300300299299300300300300300300300300300300300300300300300300300301301301301300300300300299301301300300300300300300299298296299298299298298298298298299299298298299300299299300300301301301301300299300299299301302301301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298296294294295294295295295295295295295295293290289286284290286292297298298299299299298298298299298295296296299297297297297297297298297298298298298297299299299298298298298297297297296296296295293294296297297298298300299299300300300300301302302302302302302303302302302303303303303302302302303303303303303302301301301301302302302301302302302303302302302301301301301301300300301301299300300300300300300301301301301301302302303303302302302302302302302303303304304304304305306305305305305304304305305304303303303302303302302303303303303302303302302303302302302302302302301301301301301301301300300301301302302301301300300300301300301301302302302301302302303303302302302302301301301301301302301302302303303303303303303303303303303303303303303303303304304304304304304304304304304305305305306305305306305305306306307307307307307307307307307307306306306306306306307306307307307307307306306307307307307306306306306306307307307307307307308308308307307307307307308308308308308308308308310310310309308308309308308308308308308308307307308308308308308308307307308307307308307307306306306306306306306306305305305305305305305305305304304304304304304304305305305306304304304304304305305305305306306306306306305305305305305305305304305304305305305305305305305305305305305306306306305305305306306306306306307306307307307307306307306306307307307307307308307306307306307306306306306306306305305306305305305305305305305305305305305305305306305305305305305304305305305304304304304304304304303304304303303303303304304303304303303302302302302302302302303302302302302302302302302302302302301301302302302301301301301301301301301300300300300300300300300300300300300300299299299299299299299299299298298297297297298299299298298298298298298297296296296296296296296297297297297298296297297297297297297297297297297296296296297297297297296296297297297298297297297297297 305303999305999999999999999999999999999999999999999999999999999999999999999999999999999999298297295292292293293293293293293294294295295296296295295294295295295295294295296297296297297297297297298297297297297297297297298298299300299300299299300300301300300300300300300300300300299300300300300300300300300300300300301301301301301301300300301300299299300300301300300300299299298299299298298298298298299299300299299299299300300301300301301301300300300299299299299302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297292292294294295295295295295295294292290287284282289293293295297297297298299299299299299297296295297298298298297297296297297297297298297298298299299298299299299298299298297297297296296295294293294295297298299300300300301300300300301301302302302302302302302302302302303303302302302302303304303304302301301301301302302302302302301302303303303303303302302301301301301301301300301300300300300300300300301300301301302302302302302302302302302302302303303304303304304304305305305305304304305304304305304304303302302303303303303303303303303303303302302302302302302302302302302301301301301301301301301301301300301300300300300300300300301302302302302302302302302302302301301301301301301301302302302303303303303303303303303303303303302303303303303303304303303304304304304305305305305305305305305305305305306306306307307307307307307307307307306307306306306306307307307307307307307307306306306306306306307306306307307307306306306307307308308307308307307308308308308308308307308308310310310309308308308309308308308307308308307308308308308308308308307307307307307308307307306306306306306305305305306305305305305305306305305304304304305304305304304304304304303304304304305305304305305305306306306306305305305305305305305304305304305305305305305305305305306306306306306306306305306306306307306307307307307307307306306307307307306307306306307307307307307307306307306305306306306305305305305305305305305305305305306306305306305305305305305305305305305305305305305304305305304304304304304304304304304304303303303303303302303302302302303303303303302303302303302302302302301301302301301301301301301301301301301301301300300300300300300300300300300300300300299299299299299298298298298298298297297299299299299298298298298298297296296297297296296296296297297298298297296297297297297297297297297297297297297296297297297297297296297297297297297297297297297 304304999306999999999999999999999999999999999999999999999999999999999999999999999999999999999296294292291292293292292293292292293294295295296295295295294295295295294296296296296297297297297297298297298298298297297298297298299299299299299299300300300299300299300300300300300300299300300300300299300300300301300300301300301302301301301301301300299300300301301301300300300300298299299298298298299299299299299299300300300300301301300301301301301299299298298299300303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293294295296296296295293293291288286285284291293294296298297297299300298298297299297296298298297298298296297297297297297299296298298298298298299299298298298298298298297297295296295294295295297297299299299300300301300301301301302302302303303302303302302302302303302301302302302302303303304301301301301302302302302302302303303303303303303303303302302302302301301301299301300300300301300300300301301302302302302302302302302302302302302302302302303303303304304305305305304305305305305304304303304303303303303303304304304304304304303303302302302302302302302302302302302301301302301301301302302301301300301301300300300300300301301301301302302301301302302302301301301301301301301301302302302303303303303303303303303303303302302303303303303304303303303304304304305304305304305306306306305305306306306307307307307307307307307307307307307307307306306307307307307307307307307307307307307307307307307307307307307307307307307307307307307307308308308308308308308308309309309310309309309308308308309309308308307308307307308307308308308308308307307307307307308307307307306306306305305305305305306305305305305305304305303304304304304304304304303303303304303303304304305305305305305305305305305305305305306305305304305304304304304305305305305305306306306306306306306306306306307307307307307307307307306306306306307306307307306304306307307307307307307306307306306306306305306306305305306305305305305306306306306306306306306306306305305305305305305305305305305307305305304304304304303303303303303303303303304303303304303303303303303303303303303303303302302302302302301301302301301301301301301301301301301301300301301301301300300300300300300300300299299299299299298299298298298298298298298298297297298298298298298297296297297297297297296296297297297298298296297297297298297298297298298297297297297297296296296297296296296297297297297297297297 303305306300999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291292293293292292292293293294294294294295295295295294294294293294295296296297297296297297297297298297297297297297297297298297298298299299299300300300300301300300300301300300299299299300299300300300300300301301300300301301301301300300300301300301300300301301301301300300300299298299299299298296299299299299299299299300300301301301301301301301300299298299300301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293295295295296296295294999293290288285287292293295297297298299299299297300296297297297297299298298297297297297297296296300298297298298298297298298298296296297299298296296295295294295296297298298298300299300301300301302302302302302302303303302303303302303303302302302302303303302303302303302301303302302303303303302304303303304303303302302302302302302302302302302302301300300301301301301301301302302302302302302302302302302302302302302302303303303303303304304305306306304305305305304304303304304304304304304305305304304304304303303302302302302302302302303302302302301301301302302302302302302301301301302301301301300300300301301301302302302302302302302302301301301302302302302302302303303303303303303303303303303303303303303303303303303303303303304304304304304305305305305306305305304305306306306306306306306307307307307307307307307307307306306307306307307307307307307307307307307307307306307307308307307307307307307307308308308308308308309309310309309309309309311310309309309308309309309309308308308307307308308308308308308308308307308308308308308307307306306306306305305305304304306306305305305304303303302304303303304304303303303302303303303304304304305305305305305305305305305305305305305305305305305304304305305305305305305306306306306306306306306306306306307307306307307307307306306306306306306306307306306306307307307307307307307307307306306306306306306306305305305305305306306306306306305306306305305305305305305305306306306306306306306305305304304304304303303303303303303303303303303303303303303303303303303303303303303302302302302301301301301301301300300301301300300300300300300300300300300300300300300300300300299299300299299299299298298298298298298298298298298297298298298298297298297297297296297297297296296296297297297298298298297298298297298298298297297297297297297296296296297296297296297297298297297297297 302304307298999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291292292292292292293293294293294294295295294294294294294293294295295296296297296296296297297298297297298298297298298298297299300299299300300300300300300300300300300300300300300299300300300300300300300300300300301301300301300300299300300301301301301301301301301300300299299299299299299298298298297298299299298299299300300300300301301300300301300300299300301302304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294295296296294294999301300298291292291293294295296297297298298299299298298297296297299299299300297296297297297298299297298298298299298298297297296297296296297299298296295294295295296296297297298298299300300301301301301302302302302303303303302302301302301302302302302302303303303302302302302302302302302302302302303303303304304303303302302302302302302302302302302302301300300300301301302301301302302302302302302302302302302302302302302302303303303303304304303303303305305305305306305304304304303303304304304305305304304304304303303302302301301303302302302301301301301300301302302302303302302302301301301301301300300300300300301301301301302302302302302301301301301302302302302302302303303303303303303303303303303303303303303304304304304304304304304304304304304305305305305305305305305305305306306306306306306306306307307307307307307307307307307307306306307307307307306307307307307307307307307307307307307307307307307307307308308309309309310310310309310309309310310310309309309308309309309309308308307307307308307308309309308308308308308308308308307307307306306306306304304304304305304305305305305304303303303303304304303302303303302302303303303304304304305305305305305305305304305305305305305305305305305304304304305305305305305306306306306306306306307307307307306307307307307307307306306306306306306306307307307307307307307307307307307306306306306306306306306306306306305306306306306306306306306305305305305305305305305305305306305306306306305305305304304304303303303303304303303303303303303302302302303303303303303303303302302302302302302301301301301301301300301300300300301300300300300300300301300300300300300300300300300299299299299299298298298298297297298298298298298298297298298298297297297297297297296297296296296297297298298298298298298298298298298297297297297297297297297297297296297297297297297297297297297297297 303304306302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292292292292293293293293293293293294294294294294293294293295294295295295296296295296296297298298298298298299298298297298298297299299299299298299299300300299299299299299299300300300299300300300299299299299300300300301300301299299299300300300300301301300301301299301301299299299297298297298297297297297297298298298299300300300300301301300300300300300300300302304305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295295294295294293296298296297294293293293294296297297297298298298298299299298297298299299297297298297297297297297297299298298297299301298297297296296297296297298297296296295296296295296296297297298298299299300301302301302302302302302302303302302301301302301301301301301302302302302302302303303302302302303302302303303303303303303303302302302302302302302302302302302302301300301301301301302302301301301302302302302302302302302302302302302301303303304304303305303303304305305305306306305305305304303303304304304305305304303304303303302302302301301302302302301301301301301301302303302302302302302301301301301301300300300299299300301300301302302302302302302302302302302302301301301302302302303303303303303303303303303303303303304304304304304303304303303303304304304304305304305304304305304304305305305305305305306306306306307307307307307307307307307307307307307307307306306306307307307307306307307307307307307307307307307307308308308309309310310309310309310309309309310310309309309309309309309309308308307307307308308309309308308308308308308308308308307307307306306306306305304304304304304305304304303303303303304304303303303303303303302302303303304304304304305305306305306305305304305305305305305305305305305305304305304305305305306305306306306306306306307307307307307307307307307307307307306306306306306306306307307307307307307307307307306306306306306306306306306306306306306306306306306306306306306305305305305305305305305305305305305306305306305304304304304304304303303303303303303303302302302302303302303303303303302302302302302301301301301301301301300300300300300300299300300300300300300300300300300300300300300300299299299299299298298298297297297297297297297297297297297297297297297297297296297296296296296296296296295296297297297297297297297298297297297297297297297296296296296296296297297296297297298297297297297296296 302304305304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292292293293294293293294294294295294294294294295294294294295295295296296296297296297296296296297297298298298298298298298298299299299299300299300300300300299299300300300300300300300300300301300300299299300300301301301301301300300299300301302301301301301301302301300300300299297299296298298298298298297297297298298300300301300301301301302303303999999299302299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300299999999297296295296295295295293293293292293296293294294294294294296298298297296297297297296297297296297298297297298297298297297297296296297298298297297298298297297297297296297296297297297297297296296296296296296297297298298299299300300300301301301302301302302302302301301300300301300300300300301301301301301302302303302302302302301302301303303303302302302302302302302302301301302302301301301301301301301301301301301301301300301300301301301301301301301301302301302302302304303302303304304304305304305305306305306304304303304304304304304304304303304303303302302301301301301302302301302301301301300301302302302302302302301301301300300300300299298298299300300301302302302302302301301301302302302302302302302302302303303303303303303303303303303303303303303303303303303303303303303304304304304304304304305304304304304305304305305305305305305305306306306307307307307307306307307306306307306306306306306306306307306306306306306307306307307306306306307307307308308308309310310310310310310310309309310310309309309308309309309309308307307307308308308308308308308308308308308307307307307306306306306305305304304303303303303303303303303303303304302303303303303302302302302303303303304304304304305305305305305305305305304304304304304305305305304304304305305305305305305305305305305306306306307307307307308307307307307307306306306306306306306306307306307307307306307306306306306306306306305305305305305306306306306305305306305305305305305305305305305305305305305305305305305305305305305305304304304303303303303303303303303303303303303303303303303303303303302302302302302302301301301301301301301301300300300300300300301301301301301301301301301300300301300300300299299299299299298298298298298298297297298298297297297297298297297297297297297297297297297297297297296297297297298298298298298298298298298297297298297297297297297297297298297298298298298298297297296297 301302303304304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293293293293294294294294295293294295296296294294294294295294295295296296296296296295296297296297297298299298299298298299299300300299299299300300301300300300300299299300300299300300300300300301299300300299300301301300300299300298301303303303302302302303300301300299300300300299297298298298298297298298298299299301302301300300300301303301999999999300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300298298296296297296296296294294300293293294294294294295296295296296297298298298298298297297297297298298297297297297298298298298298298298297297296297296297298298298298298297297299299298297298297297297297297296297297297298298298298299300299300300301301302303301303303301302300301301301301300300300300301301301301302302301302302302302302302301303303303303302303303303302303303303302302302302302301302301301302302301301301302301301301301301301301301301301302302301302301302302302303303303303303305305305305305305306306306305304304304305304304304304304304304303302302302301300300301302302302302301301302301302302303303302302302301302302301300300300299299299300300300301302302302303302301302302302302302302302303302303303303303303303303303303303303303303303303303303303303303303302303303304304304304303304304304304304304305305304304305306306305305305305306306306306307307307307307307307306306306306306306306306307307306306306307306307307306307307307307307307308309309309311310310310310310310310310310310310310310309309309310309309309308307308308308309308308308308308308308308308308307308307306306306306305304304304303303303303303303303303303303303303303304303303303304303303304304304304304305305305305305306306306306305305305305305305305305305305305305305305305306306306306306306306307307307307307307309308308308308307307307307307306307307307307307307307307307307306306306306306306306306306306306306306306306306306306306306306306306306306306305305305305305305305305305305305305305305305305304304304304303303303303303303303303303303303303303303303303303303303302302302301301301301300300300300300301301300300301300301301301301301301301301301301301301301300300300300300299299298298298298298298298298297298298297297297297297297297298297297297297297297297297297297298298298298298297298299299298298298297297297297298297297297298297298298298298299299299298297297297 301302302303305303999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293292292292292294294293293294294295296296294294294294294295295295295295295295296296296296296297296297298298299299299299299300299299300300300300300300300299299299299299299299299300299299299299300300299300300299299300300300298301301300300300302301302302301301301300300299298298298298298297298297298299299300302303303301302302302304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299298297297297296296295294296301295292293294295295296297297297297297298299299298298297297298297298297297297297298298297297297298297298298298297296297298298298298298298299298298298298298297297297298298297298297297297298299299299299300300300301301301302301302302301300301300301301301300300299300300301301300301302303303303302302302302302303303303302301302303303302303302303302302302302302302302302301302302302302302302301302302302302302302302302302301301301302301302302303303303303303303305304305305305306306306307306305304304305304304304305304304304304304302302302301301302301302303301302302302302302302303303303302302302302302302301301300300300300299300301300301302303302303302302302302302302302303303303303303303304304304304303303303303304303303303303303304304304303303303303304304304304304303305304304304304304305305305305305305305306305305305306306306306307307307307307307307306306306306307307306306307307307307307307307307307307307307307307307308308308308310310310310311311310310311310310311310310310310310309310310309309309308308308309308308308308308308309309308309308308308308307307306306306304304304303303303303303304303303304303303304304303303303303304304303304304304304304305305305306306306306306306306306305305305306305306306305306305305306306305306306306307307306307307308307308308308308307308308307307307307307307307307307307307307307307307307306306306306306307307307306306306306307306306306306306306306306306306306306306306306306306305305305306305305305305305305304304304304304304304303303303303303303303303303303302302303303303303303302302302302302301301301300300300300300300300300301300300300300301301301301301301301301301300300300300300299299299299299298298298298298298298298298298298298297298297297297297297297297297297296297296297298298298298298298298298298297298298298298298297298298297298298298298298298298298298298298297297297297 301301301302303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293293292292293293293293294293293293293295295295294294294294295296296295296295295296296295295295296296296298298299299299299300300299300299300300299299300300298299299299299299299300299299299299299301299299300300301300301301300299300300300300300300300301301301301301300299299298298298298298297297297298299298300302301303302303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298296298297296295295295295301296292295296296297297298298298298298299299299298298297298297297297297297297297297297297297297297298298298298297297298298298298298298298298298298298298297297297298298298298297297297298298298298299299299300300299300300300301301302301300300301301300300299298299299299300301301301303303303302302301302302302302303302302302302302302302302302303303301301302302302301302302302302302302301302302302301301301302302302302303302300300302301301302303303304303304304304305305305304306306306306305305304304304304304304304304304304304303302302302302302302302302303302301301301302302302302303304303303303303302302302301301301300300300300300301301302302302303303302302302302302303303303303303304303304304304303303303303304304303303303303303303303303303303303304304304303304304304305305305305305304305305305306306306305305305305305306306306306306306307307307307307306306306306306306306307307307307307307307307307307307307307307307307307307308309309310310310310311310311311311311311310310309310309309310310310309309308309309309309309308309308308309309308308308308307307307306305306306305304304303304303303303304304304304304304303303303304304304304304304304304304304304305305305306306306306306306306306306306305305305306306306306306306306306306306306306307307307307307307307308308308308308308308307307307307307307307308307307307307307307307306306306306306306307307307306306306307307307306307307307306306306306306306306306306306306306305306305305305305304304304304304304304303303303303303303303303303303302302302302302302302302302302302302301301301301301301300300300300300300300300300300300300300301301301301301301301301301300300300300300299299299299299299299299298298298298298298298298297297297297297298297297297297296297297297297297297298298299299298298298298298298298298298298298298298298298299298298298299298298298298298298297298298298 300299299300301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293293293292292293293293294294294294294295295294294295295295295295296296297296296295296295296296296297297297299299299300300300300299299300300299300300300300299299298299299300299300299299300300300300300300300301301301300300300300301300300300301301301301300301301300299299298299299298298297297297297299300300302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297296296295295296295298293295297298297297298299299299299299299298299298298298297298297298298297297297297297297297296297298297298299298297297297296298298298298298298298298297297297297298298298298298297297298298298298298298298299299299299299299299300301302300300300300299299299299299299299300300300302302301302302303301301302302302302302301302302301302302303302303302302302302302302301302302302302301301302302302301302300302302302302302302302301301301302301302303304304304304304305304304304305306306307306305305304304304304304304304303303304302302302302302302302303302303302304303302302302303303303304303303303303303302302301301300300300300300300300301302303302302303303303303303303303303303303304304304304303303303303303304304304304303303303303303303303303303304304304304304303303303303305305305305305304304305305305306306306306306306306306306306306306306306307307307307306306306306306306306306307306307307307307307306307307307307307307307307308308308309309310310310310310311311311311310310310310309309309310310310310309309308309309309309309309308308308308308308308307306307306306305305304305305304304304303304303305304304304304304303304304304304304304304304304304305305305305305305305306306306306306306306306306305306306306306306306306306306306306306306307307307306307307307307307308308308308308308308307307307307307307307307307307307307307307306306306306306307307307307307307307307307307307307307307306306306306306306306307306306306305305305305304305306304305304304304303303303303303303303303303303303302302303303302302302302302302302302301301301301301301301300300300300300300300300300300300300300301301301301301301301301301300300300300300299299299299299298298299299298298299298298298298297298298298297298298297298298297297297297297297297298299299298299299299299299299299299299298298298298298298298298299298298298297299299299298298298297297 301300300300301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292292293293293293294293293294294294294295294294295295296295296296296297296296295296294295296296297297297298298299299300300300298299301300300300301300299299298297298299299299298300298299299299298299299298298299300300299300300300300300300301301301301301301301300299299299299298298298297297298298300300300301304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296295295295296294294295297297298298298298298299299299299299299299299299299298298298298298297297297297297297297297297298298298297297297297297298297299297298298298297297297297297297297298298298297298298298298298298297298299298299298299298297999300300300300299299299299299298298299298299299299300301301301302301302301301302302302301301301301301300301302302301301302302302301302302302301302303302301302301301302302302302302302302302302302301302302302302301302303304304304304304304304305305305305306306306306304304305304304304304304304304304303303302303302303302303302303304304303303303303303303304303304304304303303303303302302301300300300300300300301302302303303303303303303303303303303304304304304304304304304304304304304304304304304303303303303303303304304304304304304304304304304304304305305304304304304305306306306306306306306307306306306306306306306306306307307307307306306306306306306306306306307307307307307307307307307307307307307307308308308309309309310310310310311311311311311310310310310310310309309309310310309309308308308309309309309309308308308308308307307306306306305305305305305305304304304303305305304304304304304304304305305304305305305304305305305305305305306306306306306306306306306306306306306306306306306306306306306306306306306307307307306306306307307307308308308308308308308308307307307307307307307307307307307307307307307307307306307307307307307307307307307307307307307307307307306307307306306306306306306305305305305305304304305304304304304303303303303303303303303303302302303303303303302302302302302302302302301301301301301301300300300300300300300300299300300300300300300300301301301301301301300300300300300300300299299299299299299299299299298298299298298298298297298298297297297298297298298297297297297297297298298298298298299299299299299299299299298298298298298299299299299298298298298298298299298298298298297297 301301300300301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292292292293293293293293293293294294295295295295295295296295295296296296296296295296295296296297297296298298297298297299299298298299299298299300299300299299297298298299300300299299300299298300300298298300298299300299298299300300299300300300300301301301299301300298298300298298298298298298298300300301300302300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999999999999999999999999300300297295295296296295297297298298298298298299299300300299300300299300299300300300299299298298298297297298298297297297297297297297297297297297297297297299298297298297298297297297298298298297297297297298298298298297298297297298297297298298298297999299299299299299298299298298298297298297298298299299301302301302301302301300301302301300301301301300301301301300300301301301302301301302302302301301302301302301302301302302300301301301300301301301301302302301301302302303303304304304304304305304305305305305305305304304304304304304304304304304303302303303302302302302303303302303304303302303304304303304304304304304304304303303303301301300300299299300300301301302301302303303303303303303304304303304304304303304304304304303304304304304304304303303303303303304304304304304304304305305305305305305305305305305305305306306306306306306306306306306306306306306306306306306306307306307306306306307306306306306306307307307307307307307307307307307307307307307308308308309309310310310311311311310310311310310310310310309309309309309310309309309308308309309309309308308308308307306306306306306306306305305305305305304304305304304305304304304304305305305305305305304305305305305305305305306305305306306306306306306306306306306306306306306306306306306306306306306306306306307306306306307307307307308308308308308308307308307307307307307307307307307307307307307306307307307307307307307307307307307307307307307307307307307307307307307306306306306306305305305305304305304304304303303303304303303303303304303303303303303302302303303302302302302302302302302302302301301301301301301301300300300300300299300300300300300300300300301300301301301300300300300300300300299300299299299299299299299299299298298299298298297298298298297298298298298298298298298298298298298298298298299299299299300299299299299299299299298298298298299299299299299299298297298298298298298297297297 301300299300298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294294293294293293293293294294294294294295294295295295295296295295296296295295295296295295294295297296297298298298297297297297297297297298297298298299299299298298299300299298299298299299298299299299300300299300299299299299299299300299299300300300300301301300300301300300300300300300299298298299300300301302304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301999999301300300299297296297300296297297297298298298298298299299299300300300300300300300300300300300300299299299299298298298299298298298297298298297298297298298298298298297298297298298298298297298298298297298298298297297297297298298298297297298298297297298298298298298999298298298298298298298298297297297297298298298299301301301300301301301301301301301300301301301301300301300300301300301300301301301302301301301301302301302302301300300302300301301301301301301301301302302302302302302303304304304304304304305305305304305305304304304304304305304304304304304304303303303303302302302302303303303303303304304304303303304304304304305305305304304302301301301300299300300299300301301301302302303303303304304304304303304304304304303304304303304304304304304304304303303303303303303304304304304304305305304304305305304305305305306306306306306306306306306306306307306306306306306306306306306306306307306307307307306307307307306306306307307307307307307307307307307307307308308308308308308309309310310310311311311311311310310310310310309309309309309309309309309309309309309309309309308308308308308308307306306306306306305305305305304304305304304304304304304304305305305305305305305305305305305305305305305306306306306306306307307307307307306307307307307307306306306306306307306306307307306306306307307307307307307308308307308308308308307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307306306306306305305305304304304304304303303303303303303303303303304303303303303303303302302303302302302302302302302301301301301301301301301300300300300299300299299299299299300300300300300300300300300301300300300300300300300299299299299299299299299299298299299298298298298298298297298297297297298298298298298298298299299299298298299299299299300300300299300300300299299299299299299299299300300299299298298298298298298297298298297 300300300300299300303999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294292292292292292293292292293294294294293293295295296295295295296296295295295295295295296296295295296296297298298298297296296294297298295297296298299300299299299298299296296297298297297297298298299298300297299300300300300300300300300299300300300301300301300301301300301301301301301299299299300300301300303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301999999301301298297297298298298298298296297298298298299298298299299299300300301300301300300300301301301301300300299299300300299301298298299298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297297297297297297297297297297297297297296297297297298297297297297298297297297296296297298298298299300300300301301301302301301301300300301301301300300301300300301300301301301301301301301301302301302301301302301301301301301302302302302301301301302302302302302302303303304304305304304304304304305304304305305304305304304305305305304304304305304303304303302302303304304303304304304304304304304303303304304304305305305304302301302301301301300299300300300301301301301302302303303303304303303303303303304303303303303304303304304304303303303303303303303303304304304304304305305305304305305305305306306306306306307307306306307306306306306306306306306306306306305306306306306307307307307307307307307307307307307307307307307307307307308308308308308308307308308308309309310310311311311311310311311311310310310309309309309309309309310309309310309309309309308308308308308308308308307307307308307306306306306305305305304305305305305304305305305305305305305305305305305305305305305306306306306306306306306307307307307307307307307307307307307307306306307307307307306307307306307307307308308308308307308308307307308308308308307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307306305306305305305305304304304304303303303304304304304304303303303303304303303303302302302303302302302302302302302302301301301301301301301300300300300299298298298299299300300300300300300300300300301300300300300300299300299299299299299299299298299299299299299299298299298299299298298298298298298298298298298298299298298299298298299299299300299299299300299299299299299299299299299299300299300299299298299299299297298297297297 299299300301300299301301999999999999999999999999999999999999999999999999999999999999999999999999999999295294293292292292292293292292292293294294294294293294295295295295295295296296296296296297296296296296295295295296297298298297297297297297296999999296296300300301300298298298297296297297297297298298297297297298296298299299299300301300300300300300300300300301300300301301300302302302300299299299300300301301301303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999304304300299297297296298298298298298297298298298299299298299299299300300301300300300300300301301302301300300300300300301300300299299299299299298298298298298299298298298299299298298298298298298298297298298297297297298297297297297297297297296296297297296296297296295293295999296296296296296296296296296296296296297298298298299300300300300301301300300301301300300300300300300300300301300301300301301300300301301301301300300301301301301302302301300302302302302302302301301302302302302302302302303304304305304304304304305305305304305305304304304305305305304304304304304304304303303304304304304304303304304304304305304304304303303304305305305304303303302301301301301300300300300300300301301301302302302302303303302302303303303303303303303303304304304304303303302302303303303303304304304304305305305306305305306306306306306305306305306307307307307307307307307307306307306305306306306306306306305306306306307307307308308308308307307307307307307307307307308308308308308308308308308308309309309310310311311311311310311311310310309309309309309309309310309309309309309309309308308308308308308308308308308308307307308307306306306305305305305305306305305305305305305305305305305305305305305305305305305305306306306306306306307307307307307307307307307308307307307307307306306307306307306307307307307306307307308307308307308308307307307307307307307307307307307307307307306306306306306307307307306306306307307307307307307307307306306306306306306306307307306306307306305305305305305305304304304304303304304304303303303303303303303303303303302302303302302302302302302302302301301301301301301301300300300300300299299298298298298299299299300300300300299300300300300300300300300300299299299299299299299298298299299299299299299299299299299299299299298298298298298298298298298298299298298298299299299299299299299298299299299299299299299299299299299300300299300300300298300299298298297297298297 299299299302302299301999999999999999999999999999999999999999999999999999999999999999999999999999999999296295293292292292292292292293293293294295295295294294295295295295295295296296296296296296296295296296294295296296296297297297297297296296999999999999296299300299299298298298296296296296296296297297298298297298297297298297300301300299300300301299300300300300300301301301301302302301300299299300300301302302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306304302300299297296297297298298299298299299298299299299299299300299300300300300300300300300301301302302301300300301301301300300299299299298298298299299298298299299298299299299298298298298297297297298298298297297298298297297296297298297296295296296295295295296296294292291293294295294295295295295296295294295295296297298297299299300300300300300300300301300300300300300300300300300300301301300300300301300300300301300300301301302302302301302302301301302302303302302301302302301302302302302302303303304304304304304304304304304305306305305304304305304305305304304304305305304304304304304303304304304304304304303304303304304304304305305305305305303304302301301301301301300300300300300300301301301301302302302302302302303303303303303302303303302303303303303302302302302303303304304304304304305306305307304304304306306306306306306306307307307307307307307307307307307306306306306306306306306306306306306306307307307308308308308308308308307307308308308308308308308308308309310308308309309309310310310310310310310310310310310310309309309309309309309309310309309309309309309308308308308308308308308308307307307307307307307307306306306305305305306305305305305305306306306306305305306305305305306306305306306306306307306306307307307307307306306307308307307307307307307306307307307307307307307307307307307307307307308308307308308308307307307307307307307307307307307306306306306306307307307307306306306306306307307307307306306307306306306306306306306306306307307306305305305305305305304304304304304304304304304303303303302303303303303303303302303303303302302303302302302301301301301301300301300300300300299299298298298298298298299299299299300300300299300300300300300299299299300299299299299299299299299299299299299299299299299299298299299299299298298298298298298298298299298299299299299299299299299299298298299299299299299299299299299299300300299299299300299300300299299298298297297298 299299300301301302301302999999999999999999999999999999999999999999999999999999999999999999999999999999296294293292291292292292292292293293294294294296295295294294295295295295296296296296296296296296297295295295296296296296297297298298297298299999999999296297297296297297296296296296296296296296296296297299299297296298297297298300300300300300300300300301301300301301301301301302300300300300300301301302303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302299297296296297297298299299299299299299299299299299300300300300300301301301300301301301301302301301301300300300300300300300299299299299299299299299299299299299299299299299298298298297297297297297297297298298298298296296296297297295293294295294294294294294293292291292293294293293294294295294293293294294295296296297299299299299300300300300300301300300300300300300300300300300300300301300300300300300300300300300301300301302302302301302300300301302302302302303302302302302302302303302303303304304304304304304304304305305306305305305305304305305305305305305305306306305305305304304303304303304304304304304303304304304304304305305305303302302302302302301301301300300300300300301301301301301301301302302302302302302302302303302302302302303302303302302302302303303303304304304304305306306306305305305306306306306306306306307307307307307307307307307306306307307307306306307306306306306306306306306307307308307308308308308308308308308308308308309308309309309309309309309309309309309310310310310310311311310310310310309309309309309310309309309310309308309309309308308308308307308308307307307307307306306306307307307307307306305306305305305305306306306306306306306306305305305305306306306306306306307306307307307306306307307307307306307307307307307307307307306307307307307307307307307307307307307307307307308308308308308307307307307307307307307307307307306306306306306306306306306306306306306307307307306306306306306306306306305305305306306306306306306306305305305304305304304305305304304304304304303303302302302302303303302302302302302302302302302302301301301301301301301301300300300299299299298298298298298298298298299300300300300299299299300300300299299299299299299299299299299299299299299299299299298299299299299298299299299299298298298299298298299299299299299299299299299299299299299298299299299299299300300299299299299300299299299299299299298298299298298298298298297 299299300301302302302301302999999999999999999999999999999999999999999999999999999999999999999999999295295294293291291292292292293293293293293295295295295295295295295295293295295295295296296296296295296294294295295295296296296297297298298297297297999297297297296297297298296296295296297296296297298298298298297296297295297298298299301300300300300300300300300302302301302302304301301301301301301302302303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302299297296296297298298299299299299299299299299299300300300301300301301301301301301301301301301301301301301301300299299300300299299299299300300300300299300299299299299299299298298298298298298298298298297298299298297296296296296297293293293292292292292292292291291292291291293292292292292293292292292292293295295296298298299299299300300300300300300300300300300300300300300301300300300300300300301301300300300299300300301301301301302302301300300301301302302302303303302303302302302303303303303304305305305305305305305305305306306305305305305305305305305306306306306307307305305305304303304304304304304304304304304304303304303303304305304302302302302302302301301301300300300299300300301301300300301302301301302302302302302302302302302302302302302302302302303303303304304304304305305306306306305305306306306306307306306307307307307307307307307307307307307307307307307307307307307307306306306306306307307307307308308308309309309309309309309308309309309310309309309309309309309309309309310310310311311311311310310310309309309309309309309309309309309308309309308308308308307307308308307307307308308307306306306306307306306306306305304304305305305306305306306306306305305305305306306306306306306306306306306307307307307307307307307306307307307307308308307307305307307307307307307307307307307307307307307307307308308308307307307307307307307307307307307306306306306306306306306306306306306306306307307307306306306306305305305305305305305305305305305305305305305305304305304304304304304305304304304303303303302303302302302303302302302302302302302301301301301301302301301301300300299299299299299298298298297297297297298298299299299299299299299299300299299299299299299299299299299299299299299298298298298298298298299299299299299299299299299298299299299299299299299299299299299299299299299299298299299299300300300300299299299299300300299299298299299299299298299299298298298297298 299300299301302301302302300301999999999999999999999999999999999999999999999999999999999999999999999999295295294291291292293293293293293293294295295294294295294295294295295296294296296295296296294296294294294295295295296297296297296296297297295296296296296296297296296297298296296296297297298297296296297297296296296297297298299299298298299299299300300300301301302303302302300301301302302302302302303305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301299297296296297298298299299299299299299299299299300300300300300300302302301301301301301301301301301301300300301300300300300300299299300300300300299300299299299300300299299298298298298298298298298298298297297298297296296296295999293292292291291291290290289290290291292291291292292291291291291290291292293295295296298299299299299300300301301300300300300300300300300300300301300300300300300300300301301301300300300301300300301301301302302301301301301301302302302302302303303303302303303303303304304305305305305305305305305305305305305304305305305305305306307307307307306306305305305304304304304305305304304304304303303304304303303303302302302302302301301301301299300300300299300299300301300300301301301301301301302302302302301301301302302302302302302302303303303304304304305305305306305307306306306307307306309307307307307307308309307307308308307307307307307307307307307307307307307306307307307307307307308308308308309309309309309309309309309310309309309309309309309309309309310310310310310310311310310310310310310309309309309309310309309309308308309308308308307307308307308308308308308308308307307307307307307306307307306305305305304305305305305305305305305305305305306306306306306306306306306306307307307307307307307307307307307307307307307307307306307307307307307307307307307308308308308307307307307308308307307307307307308307307307307307306306307306306306306306306306306306306306306306306306306306306306305305305305305304305305305305305305305305305304304304304304304305305304304304304303303303303303303302302302302302302302302301301301301301301301301301300300300299299299299299299298296297297297297297298298298299299299299299299299299299299299299299299299299299299299299299298298298298298298298298298298299299299299299299299299299299299299299299299299300299299300299299299299299299300300300300299299300300299299300300299299298298299299298298298298298298298297297 300300299300300301302302302303301999999999999999999999999999999999999999999999999999999999999999999999296295295292291292292293293293293293294295295295294295294295294295295295296296297295296296298296294294294295296295296296296297297297296297295295296296297297298297296297297297297297298298297298296296297298296295295296296297298298298299299299300301301301301302302302302302301300303303304303303303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299303301298297297296297297298299299299300299299299299299300300300300300300300301301301301302301301301301301301301301300300301301300300299299299300300300300300300299300300300300299299299298299299298298298298297297297297297298297296296295294999291290290290289288288288289290290290291291290290290290290290290291293294295295297298298299299299300301301301301300300299300300300300300300300300300300301300300300300301301301301301301301300301300302302301301301301301302302302302303303302303303303303303303303303304304304305305306305306305305305304304305305306306306307308307307308308307307307307306305306305305305304304305304304304304304304304303303303302302301301301301301301300302301301301300300300300300301301301301301301301301302301301301301301302302301301301302303303303303304304304305305305306306307307305306307307309308307307307308308308308307308309307307307308308308308308308307308308307307307307307307307307308308308308308309309309309309309309309309310309309310310310310310310310310310310310310310310310310310310310310309309309309309310310309308308308308308309308308307308307307308308308308308308308308307307307307307307306306305305305305305305305305305305305305306305306306306306306306306306306306307307307307307307307307307307307307307307307307307307307307307306307307307307307307307307307307307307307307307307307308307307307307308307307307307306306306306306306306306306306305305306306306306306306305305305305305305304304304304304304304304304304305304304304304304304304304304304304304304304304303303303303303303302302302301302302301301301301301301300300300300300300299299299299298298298298297296296296297297297297298298299299299299299299299299299299299299299299299299299299299299298298298298298298298298299298298299299299299299299300300299299299299300300300300300300299299299299299299299299300300300299299299299299299299299300299300299299298298298298298298298298298298298 301301300299300300301301302302301999999999999999999999999999999999999999999999999999999999999999999999298297294292291292293294293293293293294294295294295295295295294295295295295297297295296295295295294294294294295295295296296296296297297296297297298298298298298298297298296296297298297297297297297298298297296298298298297299298299299299300300300299303302302302303303302301301302303303303304305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300303301299297297296297298298299299299299299299300300299300300300300300301301301301301301301301301302302301301301300300301301300300300299300300300300300300300300300300300300300299299299299299299299298298298298297297297297297297296296296294999288289289289288286286287287288289289289290290290290290290290290291292294294295296298299299300299300300301300300299300299300299299300299300300300300300301300300300300301301301301301301301301301301301301302302302302301302302302303303303302303303303303303303303303304303304305306305305304305305305305305305306306306307308308308309309309309308307307307306306306306305304305305305304305306305303303303303303302302301301301301301301301303302301301301300300300300301301301301300301301301302301301301301301301301301301301302303303303304304304304306305305306306306306306306307307308307307307308308309308307309309309308308309308307308308308308307307308307307307307308308307307308308308308309309309309309309309308309309309309310310310310310310311310310310310310310310310310309310310309309309309309309309310309308308308308308308308308308307307308307307307308308308308308307307307307307307306306306305305305305306305305305305305305305306305306306306306306306307307307306307307307307307307308308307307308307307307308308308307307307307306307307307307307307308308307307307308307307307307308308307307307308307307307307307306306306306306306306306306305305305306306306306305305305305305304304304304304304303303304304304304304304304304304304304304304304304304304303304304303303303303303302302302302301301301301301301301301301300300300300300300299299299299299298298297297297296296296296297297297297298298299298298299299299299299299299299299299299299299299298298298298298298298298298298298298298299299299300299300300300300300299300300300300300300300299299299298299299299299300300299299299299299300299298299299298299298299298297298298298298298298297297298 300300299299300299300301301302303300999999999999999999999999999999999999999999999999999999999999999999297296295293291292292293294293293294294295295294296295295295294295295295296296296296295293294295294294294295294295295295297296298297297297298299298298298298299298298298297296297296297297298297297298298297296296297298297298299298300300301301301300304302302303303303303303301301303304303304303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301300298296297298299299299299299299300300300299299299300300301300301301301301301301301301302302302301302301301301301300300299299300299300300300300300300300300300300300300300300300300300299299299299298298297297297297297296296296296295292289290289287286285285286287287288288289289289289290289290290290290292294295295296297298299300300300300300300300299299299299300300299300299299299300300300299299299299300299300300301301300301301301301301302302302302302301302302303302302302303303303303303303303303303303304305305305305305304305304305305305306306306307308308309309309310309308308307307307307307306305305305306305306306306306305303303303303302302301301301302302301303303303302301300300300300300300300300300300300300300301301300300300301300301301301301302303304304303304304304306306305306306305306307307308307308309308308310311309308309308309309309309308308308308308308308307307307307308307307308308308308308308308309309309309309309308309309309309309310310310310310310310310311310311310310310310310310310310309309309309309309309309309308308308308308308308307307307307307307307307307307307308308308307307307307307307306306306305306306306306306305305305305306305305306306306306306307307307307307307307307307307307307308308307308307307307308308308308308307307307307307307307307307307307308308308307307307307307307307307307307307307307307307307307306306306306306306306306305305305306306306306305305304304304304304304303303303303303303303303303304304304304304304304304304304304304303303303303303303303303303303302302302302301301301301301301301300300300299299299299299299299299299298297298297296296296296296296296296296297297297298298298298298298298298299298299299298299299299298298298298298298298298298298298298299299298298300300301301300300300300300300300301301300300300299300300299300300300300300300299299299299300299298298298298298299298298298298299298298298298298298298298 298298299299299299301301301302303302299999999999999999999999999999999999999999999999999999999999999999296296294293291292292292294294293293293295295295295294294293295295295295295296295294293293293294295294295296295295295295296296298298298297298298298298298299299299299299299297296297297297297297297298299297297296297297297298298298299299300300300301305303304304304306304303299302304304303305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304301299299298297296297298299299299299299299300300301300300300300300300300301301301300301301301301302302301301301301301300302301300300300299300300300300300300300300300300300300301301301301300300300300300299299299298297298297297295295295296294293291290288287285285285286286287288288288288288288289290290290289290293294295294297298299298299299299300300300300300300299298299299299299299300300300300300300299299299299300299300300301300301301301301301301302302302302301302302302302302303303303303303304304303303303304304304305306305305305305305305306306306307307308308308308309310310310309309308308308308307305305305305306306306306305305305304304302302302302301301302302302303303303302301301301300301300300299299300299300300300300300300300300300299300300301301302303303303304304304305305306306307307307306307309308308307307309309308308310308308308309309308308308309309308308307307308307307308308307308307307308308308308308308308309308308308308308308309310310310310310310310310310311311311311311311310311309310309309309310310309309309309309309309308308309308308308308307307307307307307307307307307308307307307307307307307307307306307307306306306306306306305305305305306306306306306306306306307307307307307308308308308308308308308308308308308308308308308308308308308307308307308308307308308308308308308308307307307307307307307307307307307307307307307307307306306306306306306306305305306305306305306305305304304304304304304304303303303303303302303303303303303303303304304304304304304304304304303303303303303303303303303302302302302301301301300300300300300300299299299299299299299299298298298297297296296296295296296296296296296296297297297297297298298298298298298298300299299298298298298298298298298298298298298298298299299299299299300300300300301300301301301301301301301300300300299299299300300300300299299299299299299299299298298298298298298298299299298298298299299299299298298299299 299298297299299299300301301301302301299999999999999999999999999999999999999999999999999999999999999999297296294293292292292292293293293293293292294295294294294294294295295294295293293292999292289291295295295296295296295294296296296296297297297297298298298297297298297297298297297297296297297298298299298298297297297297298298299297299298298299301303305305306305306306305306303300302304302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302301299298296296297298299299299299299299300300300299299299299300300300300300300300300301301301301301301301301301300301301301300300300299299300300300300300300300300300300300301301301301301300300299300299300299298298298297296295294294295293291290289287285285284285285286287287287288287288288289289290290289291293294294294296297299298298299299299300300299299299299298299299300299299299300300300299299299299299299300299299300300300300300301301301301301302301301302301301301302302303303303303303303303303303303303303304304304304305305305305306306305306307308308309309309309309310310310309308308308308307306305305306306306306305306305305304304303302302302301301301302301302302302302302301301301301300300299299299299299299299300300299300300300299301300301302303303303303303304304305305307306306307305305306307307308308307309309309309310310310309309309308308309309308308308308308308308308307308308307307307308308308308307308307308308308308308308309309309310310309310310310310311311311311310311310310310310310309309309309309309309309309309308309309308308308308307307307307307307307307307307307306307307307307307307307307307307307306306306306306305306306306306306305305305306306306306306306306307307307307307308308308308308308308308308308308308308308308308308307307307307307307307307307307308308308308308307307307307307307307308308307307307307307307307306306306306306305305305305305305305306305305305305304304304304303303303303303302302302302302303303303303303303304303304304304303303303303303303303303303303303303303302302302301301301300300300300299299299299299299298298298298298297297297296296296295295295295295296295295295296296296296297297297297297298298298298299299298298298298298298298298298298298298298298298299299299299299299300300300300300300300301301301301300300300300300300300300300299299299298298299298299298298298298298298298298299299298299299299298299299299299298298298 299300299299299299301303303303302299299999999999999999999999999999999999999999999999999999999999999999297295294293292291291292292293293293292293294295295295295294294294292293293292293293292292294295295295295295297297296296296296296294295296297297297298298298298297295296297296296297298297298297297298296297297298297297298297297299298298297301301305304303305305304305307308308306302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300297296297298298298299299299299299299299299299299299299300300300300300300301301301301301301301301301301301300301301301300300300300300300300300300299299300300300300301300301301301301300300299299299300299298299297297296294293292294293290289287285285285285285285286287287287287287288288289289290290290290292294295295296298298299299298298300299299299298298298299299299299299299299299299299299299299299299299299299299300299300300301301301301301301301301301301301301301302302302303302302302302303303303303303303303304303303304305304305305305306306307307308308309309309309309310310309309309308307306306306305306306306305304305304303302301303301302300299301301301301301301300301301302302301301301300299299299299299299299299299299299299300300300300301302302302303303304304303303305306307306306305307306307307306309309310311311310311310310310309309309309308308308308308308308308307307308308308307307307307307308307307307308308308308308308309309309309309310310310310310310310311311311310310310310309310309309309309309309309308309308309309309308308308308308307307307307307307307307307307307306307307306306306307306307307307306306306306306305306306306306306305306305305305305306306306306306307307307307307307307307308308308308308308308308308308308308308307307307307307307307307307307307307308308308308307307307307307307308308308308307307307307307306306306306306305305305305305305305305305305305305304304304304303303303303303302302302302302302302302303303303303303303303303303303303303303303304303303303303303303303302302302301301300301300299299299299299298299298298298298298297297296296296296295295295295295295295295295295295295295296296296297297297297297297297297297298298298298298298298298298298298298298298298299299298299299299300300300300300300300301301301300300300300300300300300300299299299298298298298299298298298298298298298299299299299299299299298299299299299299299298298 299298298300299300302302301301302302310999999999999999999999999999999999999999999999999999999999999999296294295293292291291291292292293293293293294294294294294293293293291999291292293292293293294295294294296294296296295296296296297295294296297297297297297296297295295296297297297296296297298298298299299297298298298298299298298300300299300302303302302301305307304303305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297296296297297298298299299299299299299299299300300299299300300300299300300300301301301301301301301301301301301301301300301301301300300301300300299299300300300301301301301301301301301301300300300299300299299298298296294293292293292290288285284285284285285285286286287287287288288289289289290290290290291293294296297297298299299299299299299299299299299299299299299298299299299300299300299299298298298298299299299299299300300300301301301301301302302301302302301301301302302302302302302303304303303303303303303303303303304305305305305306306306307307308308309310309309310310309309309309308307306306305305306306306305304303304303303303301301301300301300300301301300300300301301301301301301301301300300299299299299299299299299299300300300301301302303302303303303303304304304304305305306307307308308308306308309310310311311311309311309310310310309309309309309309309309309308308308308309308308307307307307307308307308307307308308309309309309309309310310310310310309310310310310310311310310309309309309309309308309309308308308309309309309309309308308308307307307307307307307307307306306306307306306306306307307308307307306306307306306306306306306306306305305305305305306305305306306306306307307307307307307307307307307308308308308308308308308308307307307307307307307307307307307307308308308308308307307307307307308308308307307307307307307306306306306306305305305305305305305305305305305304304304304304304303303303303302302302302302301302302302302303303303303303303303303303304303303303303303303303303303303303302302301301301300301300299299299299299298298298297297297296296296296296296295295295295295295295295295295295295295295295296296297297297297297297298298298297297297297298297298298298298298298298298298298298299299300300299299299300300300300301300300300300300300300299299299299299299298298298298298298299298299299299299299299299299299299298298299299299299299299298298298 301299299299299298301301303301302301299999999999999999999999999999999999999999999999999999999999999999294293294293292292291290291292292292292293294294294294294294295294292291293293292293293293293294295295296296295296297297297298297297297296296297297297298298298296296296297298297297295296297297298300300298299299299299299299299300299299299300299300300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297296296296297298298299299299299299299299299300300299299299300300300300300301301301301301301301301301301301301300301301301301301301301301300301300300300300300301300301301301301301301301301300300300300299300299298296294293293292290288286284284284284284284285285286286287287287288289290289290290290291292293294296297298298298300300300300299298299299299299299299299299299300300300299300299299298298298299299298299299299300300301300301301301301302301301302301301301301302302302302303303303303303303303303303303303304304304304305305305306306306307308308309309309309309309309309309308308307306306305305305306305306306306305305303303304301302301300300299300300301300301301301301301301301301301300300300299299299299299299299299300300300300301302302302302303303303303304304304305305306305306307308307308309309309310310309310310310310310309309309309309309309309309309309309308308308308308307307307307307307307308308308308308308308308309309309309310309310310310310311310310310310310310309309309309309309309308309309309309308308309309309308308308307307307307307307307307307307307307307306307307307307307306307306307307306306306306307306306306306306306306306305305305305305305305306306306307307307307307307306306307307307307308308308308308308309308308307308307307307307307307307307307308308308308308307307307307307307308307307307307307307306306306306305305305305305305305304304304305305305304304304304304303303303303302302301301301301301301301302302302303302303303303303303303303303303303303303303303303303303302302302301301301300300300299299299298299298298297297297297296296296296295295295295295295295295295295295295295295295295295295296296297297297297297297297297297297297297298298298298298298298298298299298299299299300300300300300300300300300300300300300300300300300300300299299299299299299298298299299299299299299299299299299299299299299299299299299299299299299299299299299 302301298299300301303302303301302302301301999999999999999999999999999999999999999999999999999999999999999294292293292292290999291292292291292293293293293294294294294294293293294294293292293292294295293295294296296297297297297297297297297297296297296297297296296297297296297298298297298300299299300300301298298298298298299300300298300300298299296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297296296296297297298299299299299299299299299299299299299299300300300300300301301301301301302302302301301301301302302302301301301301301301300300300300300299299300300300301301301301301302301300301301301300301300299298295293293292286287286284284284284284285285285285285287288287289289289290290290290292293294294295296296297297298300300300300299299298298299299299299300300300300299300299299299298298298298299298298299299299300300300301301301301301301302302302301301301301302303302302302302302303303303303303303304304304304305305305306306307307307308308309309309308308309308308309308307306306306305306306306306306306305305306305303302301301301300300300302300300300300302301301301301301301301301301300300299299300299299300300300301301301302301302302302303303302304304304305305304307306306306307306307309309308309310310310310310310310310309309309310309309309310310309309309309309309309308308308308308309307308308309309308309308309310309309309309310310311310310310310310310310310309310309309309309309309309309309309309309309309309308308308308307307307307307307307308307307307307307307307307307307307307307307307307307306307307307307307307307306306306306305305305306306305306306306307307306307307307307307307307307307307307308308308308308308308308308308307307307307308308308307307308308308308308308307307307307307307307307307307307307306306306306305305305305305305305305304304305304304304304304304304303303303302302302301301300300300300301301301301302302302302302302302303303303303303303303303303303302302302302302301301300300300300299299298298298298297297297297297297296296295295294294295295295295295295295295295295295295295295295295296296296296296297297297297297297297297297298297298298298298298298298298298299299300300300300299300300300300300300300300300300300300300299299299299299299299299299299299299299299299299299300299300299299299299299299299299299299299299299298298 999999300300299302304303301303302302302303303302999999999999999999999999999999999999999999999999999999999999999293293292292292291291292291292292292293293293293293294294293292293294294293293293294295295295295296296297298298299298297297297297298298298297298296297298298297299300299298299298300299300301301301299300300299300300301301300301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296296296297297298299299300299299299299299299299299299300300300300300300300301300300301302302302302302302302302302303302302302302302301301300300300300300300300300301301301301301301302302301301301300301301301300299296295294293288287285284284284284285285285285285286287287288289289289290290290291293295295295294295295295297298299299298299299298298299299299299299299300299299300300300299299298298298298298298298299299300300301300300300300300300300301301301301302302301302302302302302302302302303303303303304304304304304304304305306306306307307308308308308308308309308308307308307307306305305305305306306307306305305305305304304301300301301300300299300300300301300302302301302302301301301301301301300300300299299300300300300301301302302302302303303303302303303304304304305305305306306306307307308309308309309310310310310310310310310309310309309309310310310310309309309309309309309308308308308308308308308308308309309308309309309308308309310310310310310310310310310309309309309309308309309309308309308309309309309309309309309309308308308307307307307307307307307307307307307307307307307307307307307307307307307306307307307307307307307306306306306306305305305305306306306306306306306306306307307307307307307308308307307307308308308308308308308308307308307307307308308308308308308308308308308308307307307307307307307307307307307307306306306306305305305305305305305304304304304304304304304304304303303303303302302301301300300300300300300300301301301302302302302303302302303303302303303303303303303302303302302302301301301300300300300299299298298297296297297297296297296295295295294294295295295295295295295295295295295295295295295295295296296296296296297297297297297297297298298298298298298298299299299298299299300300300300300300300300300300300300300300300300300300300300299299300300300299299299299299299299299299300300300300300300300300300300299299299299299299299298298298 999999999301301301302303303302303302303303302302299298999999999999999999999999999999999999999999999999999999999999294292293292290291290290291291291292292293292293294294293293294293292294294293294294295295295294297296297298298298297297296296298298298298298298298298297297298298298297298299300299299301301299300299299300299300301301302300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297296296297298299299299299299299299299299299298299299300300300300300300301300301301302302303303303303303303303303303303302302302302302301301300301300300300300301301301301302302302302302302301301301301302302301300298296295292290286284285285285285285285286286286286287287288289289290291292292292294296296295294294294293999296299299298298298297298299299299299299300299299300299300299299298298298298298298298298299299300301301301301301300300301301301302302302302302302302302302302302302302302303303303303303304304304305304304305305306306307307307308308308308308308308308307307307307305305305305306305305307305306305304305304304301302301302300301300299300300301302302301302302302301301301301301301301300300300300300300301301301302303302303303303303304303303304304305305305306306306306306307308308308308308309310310310310310310310310310310309309309310310310309310309309309309309309309308308308308308307308308309309309309310309309308309309310310310310309310310309309309308308309309308309308308308308308308309309309309309308309309307309307307307307307308308308308308307308308307307307307307308308307307307307307307307307307307307307307307306306306306305305305306306306306306306307306306306307307306306307307307307308308308308308308308308308308308308307307308308308308308308308308308308308308308308307307308307307307307307307307307306306306306306305305305305305305305305305304304304304304304304303303303302302302301301300300300300299300300300301301301301302302302302302302302302302302303303303303302302302302301301301301300300300300299299299298297296297297297296296296295295295294294294294295295295295295295295295295295295295295295295295295296296296296297297297297297298298298298298298298298299299299299299299299300300300300300300300300300300300300300300300300300300300300300299299299299299299299299299299299299299300300300299300300300300299299299299299299298298298298298 999999999302303302304304303303302302303302302302300299299999999999999999999999999999999999999999999999999999999999294293292292292292290289291290291292292292293293294293293294293294294294294294293295295296295295296296296296297298297297296296297297297298299299297298298298298299299297298299299298301301301299300300299299300301301302305301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298297296297298299299299299299299299299299299299299300299299299299300301300301301302302303303303303303303304304303303303303303302302301301300301300300301301301301301301301301301301301301301301301302302302301300299296295291288285286286285285285285285285286286286287287288289290291292294295294296298298296295294999999999999298298297298297298296299298298299299300300299299300300299298298298298297297297298298298299299300300300300301301301301301301301301301301302301302302302302302302302303303303303303303304304304304304305305306306306307306307307308308308308308307307307307307306306306306305305305305306306304305304304303304302302301301301301300300300301302301301302302302302302302301301301302301301301301300300301301301302303303304303303303304304303304305305304305305306306306306306306306307308308309309309310310310310310310310310310310309310310310310310310310309309309309309309308308308308308308308308309309309309309308308308309309309309309310309310309309309308308309308308308308308308308308309308309309309309309308308308308308308307307308307308308308308308307307307307307307308308308307307307307307307307307308308308308307307307307306306306305305305305306306306306306306307307306306306307307307307307307307308307308308308308308308308308308307308308308307308308308308308308308308308307307307307307307307307307307307307307306306306306305305305305305305304304304304304304304304304304303303303302302302302301300300299299299299300300300300301301301302302302302302302302302302302302303302302302302302301301301300301300300300300299299298298297297297297297296296295295295295294294294295295295295295295295295295295295295295295295295295295295296296296296297297297297298298298298298298298298299299299299299299299300300300300300300300300300300300300300300300300300300300299299299299299299299299299299299299299300300300300300300300300300300299299299299299298298298298298298 999999999999302306306305303303302302302300300300299299299301999999999999999999999999999999999999999999999999999999999295293291291291290290290290290291290292292293293293292294294295294295295294294294296295295297296296296296297297297297296297297297299299299299298298298298298299299299299298301300301301299300299299300300300300301303304305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299296297298298298299299299299299299299299299299299299299299300301301301301301302302302303303303303303304304304304303303303303302301301301300301301301301301301301302301302301301300301300301301302302302302301299297293289285286286286285286286285286286286286286287288288289290291293294295296297298297298294292999999999299298299298298298298298298298298299299299299300300300300299298298298298297297297297298298298299300300300300300301301301300300300300300300300301302302302302302302303303304303303304304304304304304305305305306306305307307307307307307307308307306307306306305306305306305305306305305306305304304305304304303303302302301301301301301301301302301302303303303302303302302302302302302302302302302301301301303303304304304304304304304304304305305306305306306305306306306307306306307307308308308309310310310310310310310311310310310310310310310310310310309309309309309308308308308307308308308308309308308309308308308308308309309309309309309309309308308308309308308308308308309309309308308308309309309309308308308309308308307307307308308308308308308307307308307307308307308308307308308307307308307307308308308308308308307307307306306306305305305305305305305306306306306306307307306306306307307307307307308307307308308308308308308308308307307308308308308307308308308308308308307307307307307307307307307307307307307306306306306306305305305305305304304304304304304304304304304303303303302302302302301301300300299299299299300299300300300301301301301301301301302302302302302302302302302302302302301301301300300300300300300300299298298297297297297297296296295295295295294294294294294295295295295295295295295295295294295295295295295295296296296296296297297297298298298298298298298299299299299299299299299300300300300300299299299299300300300300300300300300300300299299299299299299299299299300299300300300300300300300300300300300300299299299299299298298298298298298 999999999999999303301301302999301301301300299299298298299300300999999999999999999999999999999999999999999999999999999999292289290290289290290290289289288290290290290290292293293294294293294294293294294294295295296296297297296297297296296296297296297296298297297298298298299299299297297300299300299299298299298299300299300300301303304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297296297297298298298298298298298298298299298298298299299300300300301301301301301302303303302302303303303303303303303303303302301301300300300301301301300301301302301302301301300300300300300301302302302301299296294290288287287286286286286286286286286287287288288289288290292292294295295294296295296298999999999999298298298298298297298298298298299299299299300300300299299298298298298298297297297297297297299299299299299300300300300300300300300299299300300301301301302301302302303303303303303304304305304304305305305305306306306307307307306307307306306306306306305305304304305305304304305305305305305304304303303303302301301302301303303301302302303302302301302302302302302302302302302302302302302302302302302303303303303304303304304304305304305305306306306306305306306306307306306306306307308308308308309310310310311310309310310310310311311310310310310309309309309309308308308308308308308308308308308308307307307308307307308308308308308308308309309308308308307308308308308307307308309308308308308309308309308308308308308308307307308308308308308308308307307308308307308308308308308307308307307307307308308308308308308308307307307307306306305305305305305305305305305306306306306306306306306307307306306307307307307307307307308307308308307307307308307307308307308307307307307307307307307307307307307307307307306306306306306306306305305305305305305304304304304304304304304304304303303303302302302302301300300299299299299299299299300300300300301301301301301301302302302302301302302302302302302301301301301300300300300300300300299298298298297297297296296296295295295294294294294294294295294295294295294295294295295294294294294295295295295296296296296296297297297298297297298298298298298298299299299299299299299299299299299299299299299299299300300300300299299299299299299299299299299299299300300300300300300300300300300300300300299299299299299299298298298297297297 999999999999999999302294999999999300299300299298298299300300300300300298999999999999999999999999999999999999999999999999291290290290289290289289288288288289290289290290291292293292293293293293293293294294295295295296295297298296297296297296297296297297297298299299299299299299300298297298299299300300299299298299298298299299300304305302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303299297295296296298297298298297297297297298298297298298299299299300300300300300301301302302302302302302302302303302302303303302302301300299299300300300300299300301301300301300300299299300300300301302301300299298295292289285286286285285286286286286286287287287288288289288289290292293294293293291999299297296999999999298297296296298298298297298298298299299299299299299299299298297298298297297296297297297298298298298299299299299299299299299299299299299299299300300301301300301302302302302302302303303303304304304305304304305305305305305305305305305305305305304304304303304304303304304304304304304304303304304303303302301301301302302302301301301301301301302302302301302302301301301301301301302302302302302303303304304304303303303305304303305304305306306306306305306306305305305305305306306306307307308308308308309308309308308308308309308309309309308308309308308308308308308307308307308308307307307307307309307307307307307307307307307308308308308308308308308307307308308308307307308308308307307307308308307308308308308308308308307307307308308308308308308307307307307307307308307308308308308308307308307308307308308308307307307307307307306305305305305305305305305305305305305306306306306306306306306306306306307307307307307307307307307307307307307307307307307307307307307307307307307307307306306307307306306306306306306306305305305305305304304304304304304304303303303303303303303303303302302302302302301300300299299299299299299299299299300300300300300301301301301301301301301301301302302302301301301301300300300300300300299299299298298298298298297296296295295295294294294294294294294294294294294294294294294294294295294294294294294294294295296296296296296296296297297297298298298298298298298299299299299299299299299299299299299299299299299299299300299299299299299299299299299299299299299299299300300300300300300300300300300299299299299299299298298298297297297297 999999999999999999999999999999999999999298298297999299300299299299299300299999999999999999999999999999999999999999999999291291290288289290290289288288289290289289291290291291291293293293293292293294294294295295295295297295297297297296295297297296297298297298299299300300299299299298298298299300301301300300299300299298297300302304305303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308306302298297296296295296297297297297296296297298298297298298298299299299300300300301301301301302302303302302302302303302302303303303302301300299299299299300299299300300300299300300299299299300300300300301301300299297295292288286285285285285285285286286287287287287288288288289289290291293294294293999999298297295999299298298298298298297297298298299298297298298299300300300299300298298298297297297297297298297297298298298299299298298298299298299299299300300299299300300300301300301301301302302302302302303302303303304304304305304304304305304305305305305305304305304304304304303303303303304304304304304303304303303302302301301301301301302301301302302302302302302302302302302302302301301301302302302302302303303303304305304304303304304305305305304303305304305306306306306306305305305305306305306306307307308308308307308308308308308308308309309309309308308308308308308308308307307307307307307308307307307307307309308307307307307307307307307308307308308308308308308307308308308308308307308308308307307307307307307307308308308308308308307308308308308308308308307307307307307307307308308308308308309308308307307307307307308308307307307307306306306305305305305305305305305305305305305305305306306305305305306306306306306306307307307307307307307307307307307307307307307307307307307307307307307306306306306306306305305306306306305305305305305304305304304304304304304304303303303303303303302302302302302302301301300300299299299299299299299299299299299300300300300300301301301301301301301301301301301301301301301301300300300300300300299299299298298298298297297296295295295295294294294293294294294294294294294294294294294294294294294294294294294294294294294294296296296296297296297297297298298298298298299299299299299299298298298299299299299299299299299299299300300300300299300299299299299299299299299299299299299300300300300300300300299299299299299298298298298298297297297297 999999999999999999999999999999999999999297999999999999300300300299298298298296999999999999999999999999999999999999999999999291291289290289290289288289290290289289290291291292292292294293293293294295294295294295294295295296296295296297297296297298297298297298299299299300300301300300999999303301301302301301301301298299298297300300300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309307302298297297296296296297298295296296296297297298297298298298299299299300299300300301301301302302302302302303302303303303303303302302301300299299299299299298299300300300300300299299299300300299300301301300299298296293291288286286285285285285285286286286287287287288288289289290290291292291291999999299299298298299299299299299299298298299298298298298298298298298299300300299299299298298297297297297297297298297297298298299299299299299300299300299299299299298299300300300301301300301301302302302302302303303303303303303304304303304304304304304304304304304304304304304304303303303303304304304304304304303304303303303302302302303303302301301301301302301301302302302302302302302302302301302303303304304304304304305304305304305305305304304305305305306306306306307307307307306305305305305305305305305306306307308307307307307308308308308308308308308308308308308308308308307307307307307307307307307306306307307307308308307307307306307307307307307307307307308308308308308308308308308308308308308307307307307307307307307308308308308308308308308308308308310309308307307307307307307307308307307307308308308308307307307307307308308308307307306306306306305305305305305305305305305305305305304305305305305305305305306306306306306306306306307306306306307307307307307307306306306306306306306306306306306306306306305305305305305305305305305305305305304304304304304304304304303303303303303302302302302302302301301301300300300300299299299299299299299299299299300300300300300300301301301301301301301301301301301301301301301301300300300300300299299299298298298298297297296295295295295294294293293293294294294294294294294294294294294294294294294294294294294294294294293297297296297296297297297297298298298298298299299298299298298298298299299299299299299299299299299299300300300300299300299299299299299299299299299299299299299299299299299299299299299299298298298298298298298297297297297 999999999999999999999999999999999999999300999999999300301300299299298298298296296296999999999999999999999999999999999999999291291291291290290289287290290290289289290291291291293294294293293293295295295294295295295295295296296295296296297297298299298297298298298298299300300300300999999999999301301303303303304302299300297298303302299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306300298297297297296296297298295295295296296297298298298299299299299299299300300300300301301301301302303302303303303303303303303303303302300299299299299299299299300300300300300299299299300299299299300300299297297295289290287285285284285285286286286286287287287288288289289289291291292292289289999297299299299299299300300300300299298298298298298297297298298298299299299299298298299299299298298297298297298298298298298298299299299299300300300300300300300299300300300300300300301301301302302303303303303303303303303303303303303303303303303304304304304304305304304304304303304304304305305305304305304304304304303303302303302302302303302302302301301302302302302302302302302302302302302302302303304304306305306306305305305304305305305305305305305306306307306307307308307307307306306306305305305305305305306306307307307307307307307307307308307308308308307309308308308308307307307307307307306306307306307307307306307307306306306306306307306306306307307307307308308307308308308308308308308308308307307307307307307307307307308308308308307307308308308308309309308308308308307307307307307307307307307307307307307307307307308308308307307307306306306305305305305305305305305305305305305305305305305305305306306306305306306306306306306306306306306306306306306306307306306306306306306306306306306306305305305305305305305305305305305305304304304304304304304304304304304303303303303302302302302302301301301301301300300300300300300300299299299299299299299299300300300300300300301301301301301301301301301301301301301301301301300300300300300300299299298298297297297296296295295295295294294293293294294294294294294294294294294294294294295294294294294294294293294294295297298296297297297297298298298298298298298298299298298298298298298299299299299299299299299299299299299300300299299300299299299299299299299299299299299299299299299299299299299299299298298298298298298298297297297297297 999999999999999999999999999999999999999999999999999303301300299298298297297297296296295999999999999999999999999999999999999999291290291291290289289289289289288288288290290291292293293293293293293293295294294295295295295296296295296296294294297299298297297298298299299300300300300999999999999999302302303302303305301298299298302301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297296297297296296297297296294295295296296297297298299299299299299299299299299300300300300301301302302302302302303303304304303303302300299299299299298299299300300300299299298298299299298298299299298296294295288284287284283284285285285285286286286287287287287288288289289291291292292286999999999999299299299299299301301300297298298296297297297297297297297298298297299297298297298298298297298297297298298298298298297298299299299299300300300300300300300300300300300301301301302302303303303303304304304304303303303303303303303302303303303303303304304304304304304304304304303304304305305305304304304304303303303303303303302302302302302301301302302302302301302301302302302302303303303303304304305306307306306305305306306306306306305304305305306307307307307309308308308307307306305305305304305305305306306306306306306306306306307307307307308309308308308308308308308307306306307306306307307306306306307306307306306306306305306307307306306306306306307307307307308308308308308308308308308308307307307307307307307307307308308308308307307307309309309309309308308308308308307307307308308308307307307307307307307307307307307308307307306306306306305305305305305305305305305304305305305305304305305305305305305305305305306306306306306306306306306306306306306306306306306306306306306306306306305305305305305305305305304304304304304304304304304304304304304304303303303303303302302302302301301301301301301300300300300300299299299299299299299299299299299300300300300300300300301301301301301301301301301301300300301300300300300300300300300299299298298297297296295295295295295294294293293293294293294294294294294294294294294294294294294294294295294294293293293294296296297297297297297297298298298298298298298298298298298298298298299299299299299299299299299299299299299299299299299299299299299299299298299298298299298299299299298298298298298298298298298298298297297297297296297297 999999999999999999999999999999999999999999999999999302301300298298297297297297296296296296296296999999999999999999999999999999290290290290290289289289288288288288289289290290291291293293292293293294294294295294295295295294295295296296295294297298297295297297296298299299300300299999999999999999999999999999999999999302299300299300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295296297296296296296296296296295295296297298298299299299300299299299299300300300300300300301301301302302302303303304303303302302300299299298298298299299300300300299298298298298298297297298298297292292999999283283280282283284285285285285286286286287287286287288288289290291291290287999999999999298298298299298298297296297296296295296297296297297297297297297298298298298298297296297298298297297298298297297297298297298299300299300300300301300300301300300300301301301302302302303303303303303304303303303303303303303303303302302302303303303303304303303303303303303303303303303303304304304304305304304303302303303302302302302301301301301301301302302301302302302302303303302304303303304304305306307307306304306307306306305306304305305306306306306308308308308308307307306305305305305304304304305305306306306306306306305306306306307307307308308308307308308307307306306306306306306307306306305306306306306306306306306306306306306306306306306306306307307307307307307308307308308307307307307307307307307307307307307308308308308308308308308308309309309308308307307307307307306307307307307307306306306307307307307307307306306306306306305305305304304304304304305304304304304304305304305305304305305305305305305306305305305305306306306306306306306306306306306306306306306305305305305305305305305305304304304304304304304304303303303303303304303303303303303303303302302302302301301301301301301301300300300299299299299299299299299299299299299299299300299300300300300300300300300300300301301300300300300300301300300300300300300299299299298298298297296296295295295294295294294293293294293293293294294294294294294294294294294294294294294294294294294293293293294295296297297297297297297298298298298298298298298298298298298298298298298299298298298299299299299299299299299299299299298299298299298298298298298298298298298298298298298298298298298298297297297297297297297296296297 999999999999999999999999999999999999999999999999999999999300999999297298298297297297297296296296295999999999999999999999999999291291291291291291290289289289288288288290290290291289291292294293293294293294294294295295296296296297296296296296298297296297297296299299299300300999999999999999999999999999999999999999999999999300302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296298299296295295294295296296296296297298298299299299300299300300300301301301301301300301301301301301302302303303303303302301300299298297297298299300300300300299298297297297297296296296296294290999999999999280280282283284285285285285286286286286286287287288288289290291290289999999999999999298297297295295298999295296296296296295297296297297297297297297298298298297296298297297298299298298297298297297298297298298299300299300300300300300300300300300300301300301302301302302303303303303303303303303303303302303302302302302302302303303303303303303303303303303303303303303303304304303303303303304304304303302302301301300301300301301301301301301302303302302303303303304304303304304306306306307308307306308308307307307305305306305306307306306307308307308309308308306307305305304304304304304305305305305305305305305305306306306306306307308308307308308307307307306306306306306306306306305305306306306306306306306306306306306306307306306306306307307307307307307307307307307307307307307307307307307307308307307307307308308308308308308308308308308308308308307307306306306307307307307306306306306306306306307307306306306306306306305305304304304304304304304304304304304305305304305305304305304305305305305305305305305305305306306306306306306306306306305305305305305305305305305305305304304304304304304303303303303303303303303303303303303303303303303302302302302301301301301300300300300300300300299299299299299299299299299299299299299299299299299299300300300300300300300300300300300300300300300300300300300300300300299299299298298298297297296295295295294294294294294294293293294293293294294294294294294294294294294294294294294294294294294294293293294296296296297297297297297297298298297297297297297297298298298298298298298298298298298298298298298299299299298299298298298298298298298298298298298298298298298298298298298298297297297297297297297297297297296296296296 999999999999999999999999999999999999999999999999999999999999299299999999999298298297296297296296296295999999999999999999292999999291292290291290290289289289289289289289290290292292292292293292293293294294294294295294295296296296296296295296296297297297297298299300299300298999999999999999999999999999999999999999999999999999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298296294293294294296296296296297298299299300300300300301301301301301301300300299300300300300301301301302302302302301301300299298297297298300300300300300299298296296296296296294294292291290999999999999279281283284284285285285286286286286286287287287288288289289291290290999999999999999294294294999999999999296296296295296296296296297297297297297297297297298298298297297298299299299299299299299299298298298299299299300300300301301301301301300301300300301302302302302303303303303303303303303303303303303302302302303303303303302303302303303303303303303303303303303303303303303304303303304304303304303303302301301301300301301301301301302302302302302303303304304304304304305307306307307309308306308309309309307308308307308306308308306309309308309308308308308308307305305304304304305305305305305305305306305305306306305305306306306307307307307307307307307306306306306306307306306306306306306306306306306306306306307306306306306306306307307307307307307308307307307308307307307307307307307307307308307307308307307308308308308308308308308308308308307307307306306306306307307307307306306306306306306307306306306306306306306305305304304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305304304304304304304304303303303303303303303303303303303303303303302302302302302301301301300300300300300300300300300299299299299299299299299299299299299299299299299299299300300300300300300300300300300300300300300300300300300300300300300300299299299298298298297297296295295295294294294294294294294294294294294294294294294294294294294294294294294294294294295295295295295294294297296296296296297297297297297297297297297297297298297298298298298298298298298298298298298298298298299298298298298298298298298298298298298298298298298298298298298298297298297297297297297297297297297296296296296296 999999999999999999999999999999999999999999999999999999999999999299999999999298298297296296296296295294999999999999999999293999292291292290291291290290289289289289290289289290290291290291292293292293294294294294294295295296295296296295294296295296296297300301299299299300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295294294294294295295296297298298299300300300300301301301301300299297296297297298298298297298299300300301301300300300300299297296296298299300299299300299298295295295295295293292289999999999999999279280282283284284285285285286286286285287287287287287288288288289289288999999999999999293295999999999999999294294295295296296295296297297298297297297297297297298298298296297299299299298298298298299299298299299300299300300301300301301301300301301300300300301302302302302303303302303303302302303302302302302302302302302302302303302302303302302303303303303303303303303303303303302303301301301302301301301302302302300300301301301301301302302303303303304303304305305304305306308306306307309309308308309309309307308309308309308307306307310309308309309307309308308307306306304304304304305305305305305305305305305305305305305305305305305306306306307306306306306306306306306306306306305306306305306306306306305306306307306306306306306307307307307307307307307307307307307307307307307307307307307307307308307307308308307307307307307308308308307308308307307307306307306306306306306306306306306306306306306306306306306306305306305305304304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305304304304304304304304304304303303303303303303303303302302302303302302302302302302302301301301300300300300300300299299299299299299299299299299299299299299299299299299299299299299299299299299300300300300300300300299299299300300300300300300300300300300299299299298298297297297296295295294294294294294294293293293293293293293294293294294294294294294294294294294294294294295295295295295295295298296295296296296296297297297297297297297297297297297297297297298298298298298298298297297298298298298298298298298298298298298297298298298298298298298297297297297297297297297297297297297297297297296296296296296296 999999999999999999999999999999999999999999999999999999999999999300999999999297296297295295295295294294293294294295294294294294292292290291291291291290290290290291289289290289290291292292292292292294294294294294294296296297296296296295295295296297297298300301300299300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293294295295295296297298299300300300301301302301301300300297999999999999296296294295296297298299300300300300300299298297295296298299299299299299298297295294295295294293291286999999999999278280281283284284285285285285286286286286286287287287287288287288288288999999999999999297295999999999999999999294295295294295296296296297297298298298298297297298298297298297298298299299299299299298298298299299299299299299300301300301301301301301301301300300301301301301302302302302302303302302302302302302302302302302302302302302302302302302302303303304303304303303303303304303302302301301301302301301301301301302301301301301301301301302302303303303304304304305305305306307308307307308310310310309309309309309310310309307307308307308308309309309309308308308308307306305304304304304304304304305304304305305305305305306305305305304304305305305305306306306306306306306306306306306306306306305306306306306306306306306306307307307307307307307307307307307307307307307307307307307307307307307307307307308307307307307307307307307307307307307307307308308307306307307306306306306306306305306306305305306305306306306305305305305305304304303304304304304304304305305305305304304304305304304304304304304304305305305305305305305305305305305305304304304304304304304304304304304304304303303303303303303303303302302302302302302302302302302302302301301301300300300300299299299299299299299299299299299299299300299299299299299299299299299299299299299299299299299300300300300300299299299299299299299299300300300300300300300299298298298297297296296295295294294294294294293293293293293293293293293293293293293293293293293293294294294294294295295295295295295296296296296296296296296296297297297297297297297297297297297297297297297298298298297297297297298297298298298298297297297297298298297298298298298297298298297297297297297297297297297297297297297297297296296296296296296 999999999999999999999999999999999999999999999999999999999999999999999999999297295293293292293294294292293293294294292293292290291999999999291292291290291290290290290290290290290290292292293293293293293294294295295295296296295296295295296295296297297298299299299298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294295295296296298299299299300301301301300298298298297296999999999999999999293294295295296297297298298298297298297295294295298298299298299298298297295293293293294290999999999999999999278280282283284284285285285285286286286286286286286286287287287288288287999999999999295296296294999999999999999294294294295295296296296297297297298298298298298298298298298298298298298298298299299298298298299299299298299299300300300301301301300301300301300301301301301301302302302302302302302302303302302302302302302302302302302302303303303302302303304304304304304303303303303302301302302302301301302302302301302302301301301301302302302303302303303304304304305305305306308307307307307308309309309308307308309310311311309307308310309309308307308309308308308308307306306305305304304304304304304304304303304304304304304304304305304305304305305305305305306306306306306306307306306306305305306306305306306306306306307306306307307307307307307307307307307307307307307307307307307307307307307307307307307308307307307307307307307307307307307307307307307307307307306306306306305305305305305305305305305306306305306306305305305305305304303304303304304304304304305305304304304304304304304304304304304304304305304304304305305305305305304304304304304304304304304304304303303303303303303303303303303303303302302302302302302302302302301301301301301301300300300299299299299299299299299299299299299299300300300300300299299299299299299299299299299299299299299299299300300299299299299299299299299299299299300300300300300299298298298298297296296295295294294294294293293293293293293293293293293293293293293293293293293293293293293293294294294295295295295295295295296296296296296296296296296296296296296296297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296297296297296296296296296296296296296296296295295 999999999999999999999999999999999999999999999999999999999999999999999999999999296999999999292293293999293293293291292999999291999999999999291291291290291290289290290290290290289291290292292292292292293293294294294295295295294295294295296296297297296299299299298298298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294295296297298299299300300301301300297295296296294294999999999999999999999299299299999299299295296296296296295293292295296297297296297297298297296293292291291999999999999999999277279282283284284284284284285285285285286286287286287286286287287287288287999999999297296295999999999999999999293293294294295295295296296296296297297298298299298298298298298298299298298297297298298298298298299298297298298299299299300300301300300300300301300300300301301301301301302302302302302302302302302302302302302302302302302302302303303303303303304303303303304303302302302302302302302301302301303303302302301301301301301301302302302303303304304305305305306306306306308309307308308308308309308308308309309310311310309308309309308307307307308308308307307306306306305304304304303303304303303303304303303303304304303303304304304304304304305305305306306306306305305305306305305305305305305305305305305306306306306306306306307307307307306306307306307307306307307307307307307307307307307307307307307307307307307307307307306306306307306307306307306306306306306305306305305305305305305305305305304306304305305305305304304304304304303304304304304304304304305305305304304304304304304304304304304304304304304304304304304304304304304304304304304304304303304303303303303303303303303302302302302302302302302302302302302301301301301301301301300300300300300299299299299299299299299299299299300300300300300300299299299299299299298298298298298299298299299299299299299299299299299299299299299299299299299299299299299299298298297297297296295295294294294293293293293293292293293293293293293293292293293293293293293293293293294294294293293294294294294294294294295295295295295296296296296296296295295296296296296296296296296297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295294292290293291291999292292292293999999291291292291291292291290290290290290290291290290291291292292292292294292293294294294293293294294295295296297297297297297298297296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296297298299300300300300300299296294294294294999999999999999999999999999999999999999999999999999999999293292290291295295295294294293294294295293291289999999999999999999278278281282284284284284284284284284285284286286286286286286286286286286287287287999288296295999999999999999999295294294294293295295295295296296296297298298298299298298298298298297299299299299299299299298298298298298297298298299300300301300300300300300300300300300300301301301301301301302302302302301302303302303302303303302302302302301302303303303303303303303303303303302303302301302302302303302303302302301302301301301301301301302302302303303303304303303304305305306306305307309308308309309309308308308308308309311310311311309309309308307307307306307307307306306305305304304304304303303303303303303303302302303303304304303304304304304304305305305305305305305305305305305305305305305305305305305305305305306306306306306307306307307306306306306306306307306307307307307307307307308307307307307307307307307307307307307306306306306306306306306306306306306306305305305305305305305305305305305304304304304304304304304304304304304304303303304304304303304304304304305304304304304304304304304304304304304304304304304304304304304304304304304304304303303303303303303303303303302302302302302302302302302302301301301301301301301301300300300300300300300300300299299299299299299299299299299299300300300300300300300299299299299298298298298298298298298298298298299299299299299299299299299299299299299299299299299298298298298298297297296296295295294294294293293293292292292292292292292292292292292292292292292293293293293293293293294293293293293292292291291291294298295295295295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296295296296296296296296295296296296295296296296296296296296296296295295296296296295296296295295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294293999293293291289291293999293291292999291292292292291292291291291290290290290290290290290291292291292292292293294294295295294294295296296296297297298298299299298298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300299999999999999999293294295296296298299299300300300300300299999299299299999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999295295295999999999999999999999277278280282283284284284284284284284285285285286285286287287287286286285286286286286287999292293999999999999299297295295295295294295295295295296297297298298297298299299299298299299299299299299299300299299299299299299298298299300300300301301300300300300300300300300301301301301301301301301302302302301301302302302303302302302301301302301302303304303303303303302301301301302303303302303302302302301302303303302302302302301301301301302302302302303303304304304304305305305305306306307308309309309308309309309308309309311311312311311309310309308308307306306306306306306306305305305304304304303304304304304303303302302303303304303304303304305304305305305305305305305306305305305305305305305305305305305305305305305306306306306306306307307307306306306306306306307307306307307307307307307308307307308308308307307307307307307307306306306306306306306306306306306306305305305305305304305304304305305304304304304304304304304305304304304304304304304304304304303303304304304304304304304304304304304304304304304304304304304304304304304304304304304303304304304303303303303303302302302302302302302302302302301301301301301301301301301301300300300300300300300300300300300299299299299299299299299299300300300300300300300300299299299299298298298298298298298298298298298298298298298299299299299299299299299299298298298298298298298298297297297296296295294294293293293293292292292292292292292292292292292292292292292292292293293293293293293293293293293293293292292291291295294295295295295295295295295295295295295295295295295295296296296296296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999294294294999999293293293999293292292292293293293293293292291292291292292292292292291291290290289289290290289290290291291291291292292293294295295296295295296296296297297297297296296295295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293294295295295295295295295295295296297297298298299300300300300298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277278280282283284284284284284284284284284284285285285286286286286286285285285284282284285999999999999999999295296296294295294294294294294295295295296297297297297298299299299299299299298298299299299300299299299299299298299299299300299300301300300300300300300301300300301301301301301301301301301301302302301302302302302302302301301301301301302303304304304303303302302301302302303303302302303303302302302301302301302302301301301302301302302302302303303304304304305304305305305307308307309308309309309308307308309309310312311312311311309309308308307307306306305305305305305305305304304304303304304304304304304304303303303303303303303304304305304305305305305305305305305305305305305305305305305305305305305305305306307306306306306306306306306306306306306306306306306306306306307307307307307307307307307308307307307307307306306306306306306306306306306306306305305305305305305305304304304304304304304304304304304303304304304305303304304303303303304304304303303304304304304304304304304304304304303304304304304304304304304304304303304304304303303303303303303303302302302302302302302302302302302301301301301301301301301301301301300300300300300300300300300300300299299299299299299299299299300300300300300300300300300299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297296296296295295294294293293293292292292292292292292292292292292292292292292292292292293293293293293293293293294294294294294294294294294294295295294294295295294294294295295295295295295295295295295295295295295295294294294295294294294294294294295295294294294294294294295295295294294295295295294295294295295294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292293293293293292292293293293292294294294293293293292292291292291291291290290289289290289289290290291291293292292291292293295295296295295295296294295296297295296296297296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294293293293293294294294295296296296296296297298298299299299300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277280282283284284284284284284284284284284284285285285286285285285285284284284283282282999999999999999999999999293293293292294292293294295295295295296296297297297298299299299299297298298299299298300300299299299299298299300300300299300300300301300300300300300300300300301301301301301301301301301301302301301302302302303302301301301301301301301302303303303302303302302303302302303303303303302302303302302301302301302302302301301301302302302302303303303304304304304304305305305306307306307307309308308307308308309309310311312311311310311309308307307307306305305305304304304304304304304303303303303304303303303303303303303303304304303304304304305305305305305305305305305305305305305305304305305305305305305305305305305306305306306306306305305306306305306306306306306306306306306306306307307307307307307307307307307307306306306306306306305305305305305306305305305305305305304304304304304304304303304303303303303303303304304304304303303303303303303303303303303303303304304304304304304304303304303303303303304304304303303303303303303304303303303303303303303303302302302302302302302302301301301301301301301301301301301301300300300300300300300300300300300300299299299299299299299299299299300300300300300300300300300299299299298298298298297297297297297297297297297298298298298298298298298298298298298298297297297297297297296296296296295295294294293293293292292292292292292292292292292292292292292292291292292292292293293293293293293293293294294294294294294294294294294294294294294294294294294294294294294294294294295295295294294295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293294294294294293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999292291293292293293295294293292294294293293293291291290291291290290290290290290289288289289290290291291292292291291292294294294295295294294294294295295295295295295294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293293292293293293293293294294295295295296296296297298299299299298297294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276279282283283284284284284283283284284284283284284285285285285285285285284283283283282281999999999999999999999999999999999292292292293293294294295295295295296297297298298298298297298298299298298299301300299299298299299299299299300299300300300300300300300299300300300300300300301301301300300301301301301301301301301302302302302302302301301301302301302303302302302302303303302302302302302303302301301301302301302302301302302301301302302302302302303303303302303304304305305305305308307306306308308306307307307307308309309310309310309308310310308307306305306305305304304304304303303303303303303303303303303303303304303302303303303303303303304304304304305305305305305305305305305305305304304305305304305305305305305305305306305305306305305305305305305305305305306305306306306306306306306307307306306306306306306306306306306306306306306305305305305305305305305304305304305305304304304304304304304303303303303303303303304304304303303303303303303303303303303303303303303303303304304304303303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302301301301301301301301301301301300300300300300300300300299299299299300300299299299299299299299299299299299299299300300299299299300299299299299299298298297297297297297297297297297297297297297297298298298298298298298297297297297297297297297296296296295295295294294293293293292292292292291291292291291291292292292292292291291291292292292292292292293293293293293293293293293293293294294294293294294293293293293294294294294294293293294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999293292295296295295294294294292292293292293291291291290291290290290290289289289289289290290290291291291291292292293293294294294294295295294295295295295295294295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292293292293293293294294295295296296296296296296297298298298298295999999999999298298298298298999999999999294294294294293291999291290291291290290290290290290289288999999999999999999999999999999999999999281281282282282283283284284283283283284284284284284285285285285285285285284283282283283281281281999999999287287999999999999999999292292292293293295295295295295296297297298298298298299299299300299299299300299299299298298298299299300300299300300300300300299300300300299300300299299300300301301300301301301301301302302301301301302302302302302301302301301302303302303303303301302303302302302302302301301301302301302301301301301302302301302302302303303303303303303303304305305305305305306307306306306307306306306307307309309309309309309309309308308308307306306305305304304304304304303303303303303303302302302302303303303303303303303303303303303303303303305304305304305305305305305305305305304304305304304304305305305305306305305305305305305304305305305305305305305306306306306306306306306306307307306306306306307307307306306305305305305305305305305305305305305305304304304304304305304304304304304303303303303303304304304304304304303303303303303303303303303303303303302303303303304304304303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302301301301301301301301301301300300300300300300300300300300299299299300300300300300299300299299300300300300300300299300299299299299299299299299299298298298297297297297297297297297297297297297297297297297297298297297297297297297297297297296296296296295295295294294294293293293292292292292291291291291291291291291291292292292292292292292292292292292293293293293293293293293293293293293293293293293293293292292292294293293293293293293293293293294294293294293293294293293293293293293292292292292292292292293292292292292292292292292292292293292292292292292292292292292292292292292292292292292292292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293999999999999999293295297296296296296294293292292292293292292292291291290290290290290289289290290290290290290291291291292292293293293294293294294294294294294294293294295296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292293293293293294295295295296296296297296296297297298298297297294999999999999298299299299299298297296294293294295294293292292292292292292292291291292293292291291289999999999999999999999999284284283283283283282282283284284283284283283283284284284284284285285285285285284285284284284284283280281283285999999286287287287288288999999291293293293294295295295294294295295296297298298299299299300300300302300300300299299298298298298298299300299299299299299299299299299299300300300300299300300300301301301301301301302302302301302302302302302302302302302302302302303303302303303303302303302302303303303302301302302302302302302302302302302303303303304303305305303304304305305305305305306305305305307307307306307308307308307307309310310310310310310308308308308307306306305304304304304304303303303303303303303303302302303303303303303303304304303303303303304303304305305305305305305305305305305305305305305304305304305305305305306305305305305305305305304305305305305305305305306306306306306306306306307307306307306307307306306306305305305305305305305305305305305305304304304304304304304304305305304304304304303304304304304304304304303303303303303303303303303303303303303303303303303303303304304304303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302302301301301301301301301300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299298298298297297297297297297297297297297297297297297297298298297297297297297297297297296296296296296295295295295294294294294293293292292292291291291291291291291292291292292292292292292292292292292292293293293293293293293293293293293293293293292292292292293292291292293294294293293293293293293293293294293294293294293293293293293292292292292292292292292292292292292291292292292292292292292292292292292292292292292292292292292292292292291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296297296296295295294293292292293292292291291290290289290290289289289290290289290290290290291290291292292292291292292293293294292293293293293293294295295295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292293293294294294295295295296296297297297297297298298296296295293999999999298300300300300300298297297296294295295295294293293293293293294294293293293293293293293292290289288286286286285286285285284284283282282283284284283283283282283283283283284284284284285285285285284284284284284283284283283284283999999287288289288289288289288288290292293293294294294294294294293296297297298299298299300300301301302300300299299299298298298299298300299299298299299299299299299300299299300299299299300301300300301301301302302301302302302302302302302302302302302302303303303302302302302303303303302303303303303303302301302302302302302302302302303303303303303304305304304305305305305305305305305305305306306306306308306307307307307308308310310310310310310309308308308307306305305305304304304304304303303303303303303303303303303303303303303303303304304303304303304303304305306306305305306304305304306305305305305305305304305305305305305306305306305305305305305305305305305305305306306306306306306306306306306307306306306306306306306305306305305305305304305305304304304304304304304304304304304304305305305304304304304304304304304303303303303303303303303303303303303303303303303303302303303303303303303304303303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302301301301301301301300300300300300300300300300300300300300300300300300300300300300300301301300300301300300300300300300300300300299299299299298298298298298297297297297297297297297297297297297297297297297297297297297296296296296296296296296295295295295295294294294294293293292292292292291291291291291291291291291292292292292292292292292293293293293293293293293293293293293293292292292291291290292292293293293293293293293293293293293293293293293293293293293293293293292292292292292291291291291291291291291291291291291291291291291291291291291291291291292292292291291291291291291291291291291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296297296295295293291292292291292292291290290289289289289290289289290289289290290290290290290290290290291291292293294293292292294293293292292290294294295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293293293294294294295295295295295296297297297297298298297296294293999999999299299299300298300301299298297297296296296296296295295295296296296296296296295294294294293293293291290288287286285285284283282283282282282283284284283283282282282282283283283283283284284285285284283283282283283282284284283286284999999288288288288288288289289289289289292292293293293292293294294293294296298297297298299300300301301300300299299299298299298299300301299299299299300299299299299299298298299298298300300300301301301301301301302301301301301301301302302301302302302302303302303303302303302302302303302302303302303302302302302302302302302302302302303302303302303303303303305304304304304305305305305305306305305305307307308306306307307307308309309309309309309308308307307307305305305305304303303303303303303303303303303303303303303303304303303304304304304304304304304305305305305305305305305304305304304305305305305305305304305304305305306306305305305305305305305305305305305305306306306306306306306306306306307306307308307306306306306306306305305305305305305305304304304304305304304304304304304304305305305305304304304304304303303303303303303303303303303303303303303303303303303302302303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302301301301301301301301301300300300300300300300300300300300300300300300300300301301301301301301301301300300300300300300299299299299299299298298298298298297297297297297297297297297297297297297297297297297297297296296296296296296296296296296295295295295294294293293293292292292291291291291291291291291291291291291292292292292292292292293293293293293293293293293293293293292292292292292292291290291294294294294294294294294293293293293293293293293293293293293293293292292292292291291291291291291290290290290290290290290290290291291290290291291290291291291291291291290291290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296296296296295292291292292292291291290290289289288289288288289289290289290290291290290291289289289290290292292292293294292292292293292292291293294294296293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293293294294294294295295296296297297297298299298298298296293292292999999298299300300299299299298298299298298298297297296297297297299300300299298297297297296296296295295293292290288287285284283281281282283283284284285285284283282282283283283283282283283283283283284283282282283283283283283284284287285999999289289289288288287289289290290291292292292293293292292293293292292293293296298296296295298299300300299299298298299299299299301300300300300300300299299299299297297297298299299299300300300300301301301301301301301301302302302301302300300300302301301301302303303302302302301302302302302302302303303302302302303303303302303303303303303303303303303304305304304305305304305305304306306305306305306307307307308308307307308308309309308309308308308308307306306306306305304304304303304303303304303303304303303303304304304304304303304304305305305304305305304305305305305305306306305304305305305306305305305305305304305305306306305306305305305305305305305305305306306306306306307307307307306306306307308307307306306307306306306306306305305305304305304304304305304305305305305305305305305305305305305305305304304304303303303303303303303303303303303303303303303303303303303303303303303303303303303303304303303303303303303303303303303303303303303303303303303303303303303303303303303303303302302302302302301301301301301301300300300300300300300300300300300300300301301301301301301301301301301301301300300300300300299299299299299298298298298298298297297297297297297297297297297297297297297297297297297297297297297297296296296296296296296295295295294294293293292292292291291291291291291290291291291291291292292292292292292292292293293293293293293293293293293293293293293293293293293294294294295295295295295294294294294294293294294293293293293293293293293293293292292292291291291291291290290290290290290290290290290290290290290290290290290290290290291290290290290290290290290289289289