2018 9 12 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 95 97 99101101103105104105104102102101104106105104104103100 98 98 96 96 96 97 97 96 95 95 97 98 99 99101100100 98 97 97 98 98 96 99 97 96 97 98 98 97 96 96 95 96 95 94 92 92 89 97 96 95 99100 99 99100 97 98999999999999999999999999999999999999999999999999999999999999999999999113113113112112112111111111110110999999999109109109110110110110109108108107999999999104104103101 99 97 96 94 94 94 94 94 94 94 95 95 96 96 95 94 93 92 91 91 91 91 91 91 91 92 92 93 93 93 93 93 93999 94 94 95 95 96 95 95 95 94 94 95 96 97 98100101102103104106106107108109110110110110110110110110110110110110110110109109109109109109109109109109109109110110110110109109109109108108108107107107106107107107108108108108108109109109109109109109110110110110110110109109109109108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 88 89 94 96 97100 99102103105106104104103102103103105104103102101 99 97 97 95 95 95 96 96 95 95 95 98 98 99101101102102100 98 99 99100 99100 98100 99 99101 98 97 97 97 97 95 94 93 93 94 99 98 98100 99100100 98 97999999999999999999999999999999999999999999999999999999999999999999111112114113113113112112112112111111110999999109109109109109109108108108107106999999104103103102101 99 98 96 95 93 93 93 93 93 93 94 95 95 96 96 95 94 92 91 90 90 90 89 89 89 89 90 90 90 90 90 91 91 91 92 93 94 95 96 97 97 97 97 98 98 99100101103104105106107107108109109110110111111111111111111111111111111110110110110110110110110110110110110110110110110110110110110110110109109108108107107106106105106106107107107108108108108108108109109109109110110110110110110110110110109109109109108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 88 93 94 95 99 99 98101104107108106104104106104103103102100 99 98 97 94 93 94 95 95 95 95 95 94 95 97100100103102102102100102100100100100102102100100101102100101 99 99 99 97 96 95 95 94101 99 97 99 96 97 99999999999999999999999999999999999999999999999999999999999999999999109110111113114114113113113112112112111111110110109109109108108108108107107106106105104104103102101100 99 98 96 95 93 92 92 92 93 93 93 94 94 95 96 97 95 93 92 90 89 88 88 88 88 87 87 87 87 87 87 88 88 89 90 90 92 94 95 97 99 99100100101101103104105107108109109110110111111111111112112112112112111111111111111111111111111111111111111111111111111111111111111111111111111111111110109109108107107106106105104105105106106107107107107107108108108109109109109110110110111110110110110110110110110109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115121119119120118115115114113112112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 92 96 96103104104106109109112110108109107106104103102 99 97 95 94 93 91 94 96 96 96 95 94 94 94 96 97100101101102103101100100101100100102102101101102103101101102 99 99 97 96 97 96 96 97 94 92 92 92999999999999999999999999999999999999999999999999999999999999999999999999999111112113114113113112111111110110109109108108107107107106106106106106105105105104104103103102101100100 99 97 96 95 94 94 94 94 95 95 96 96 97 98 98 97 96 94 93 92 92 91 91 91 91 91 91 91 91 91 91 92 92 93 93 95 96 98 99100101101102102102103105106107108109109110110111111111111112112112112112112112112112112112111111111111111111111111111111111111111111111111111111111111111110109109108107107106105105104105105105106106106106107107107107107108108108109109109110110110110110110110110110110109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114117118118116114116112113109110109107106999999999101109107106110113999999999999999999999999999999999999999999999999999999999999999999999999999999 88 93 88 90100 93101103108111113115114112110109107104103101 98 96 95 94 92 93 94 96 96 96 96 95 95 96 96 98 99100 99101102102103102102101101102103101101101102101102102 99 99102104104101 96 92 90999999999999999999999999999999999999999999999999999999999999999999999999999999110111111112113113113112111110109109108107107106106105105105104104104104104104104104103103103103102101101100 99 98 98 97 96 96 96 97 97 97 98 98 99100100 99 98 97 96 95 95 95 95 95 95 95 95 95 95 95 95 95 96 96 97 98 99100101102102103103103103104105106107108108109110110111111111111111112112111111111111112112112112112112112112112112111111111111111112112112112112111111111111111110109109108107107106105105104104104105105105105106106106106106107107107108108108109109109110110110110110110110109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112109999999999999999999999999999999999999999999999999999999999999999104106107113111112112112113111109110109108107106105103101100102102102105107107110114115119999999999999999999999999999999999999999999999999999999999999999999999999 87 98 89999999999999999999113113115115114112109106104101 98 96 95 95 95 96 95 96 97 97 96 96 96 97 98 97 99 99100101102102102103102103102103104104101103101102102102103103103105105104101 96 96999999999999999999999999999999999999999999999999999999999999999999999999999999999111112110111113113112111110109108107106105105104104103103103102102102102102102103103103103103103102102102101101100 99 98 98 98 98 99 99 99100101101102102101100100 99 98 98 98 98 98 98 98 98 98 98 98 99 99 99100100101101102103103104104104104104105106106107108108109109110110111111111111111111111111111111111112112112112112112112112112112112112112112112112112112112111111111111110110109108108107106106105104103104104104104104105105105105105105106106107107107108108108109109109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129999999999117118121117120120122127112112114112114115116114116114125111112113115999999999999113111111112110114116118999999999999999999999106107106104105105999999999104105106110109110108109108109108108107106105104104101100 99 99100104105105107109114115117999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102116116109104102104103 99 98 98 96 96 96 96 96 96 96 96 96 96 97 97 98 98 99 98 99102101101102102102102102103103104100101101 98106106106107106105104101 98 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113111111111113114112111107106105104103103102102101101101100100101101101101101102102102103102102102102102102101101100100100101101101102102103103104104103103102102101102102102102102102102102102102102102103103103103104104105105105105105105105106106106107107108108109109110110110111111111111111111111111111111112112112112112112112112112112112112112112112112112112112111111111110110109108107107106105105104103103103103103104104104104104104105105105106106106107107108108108108109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139135129125129120118118118118118119117119119122117117117116114115113114117116118118116116113115999999999999112111110112111113115117120122118119115108105104103105105103103103999101105105105105108105104103106107106106106106105105105100101 99100101100 99106113120124112112114 93105104103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104114 94 91 93100 98 96 97 98 98 98 98 98 97 96 95 95 95 96 97 98 98 98 99100101100101102102102102102102103104100 99100100 99107107107105104103104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114110115115115115113111108107108105102101101100100 99 99 99 98 99 99 99 99100100101101102103103103103103103103103102102102102103104104105105105106106106106105105105105105105105105106106106106106106106106106106106106106106106107106106106106106106106106107107107108108109109110110110110110110110110110110111111111112112112112112112112112112112112112112112112112112112111111110110109108108107106105105104103102102102103103103103103103103103104104104105105106106106107107108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143142136140139132133132128122120119119122128117127128129119116117117116117116116116113114117116119118115114113113116115118112111109113115118121121115116115114109106103103103103106106103 98 99102105106106105105106105104104106105107105101104104101 99 97 97 92 91 94 99 99103102102103103 92101 99999999999999999999999999999999999999 86 88 86 82 80999999999999999 90 81 82 91 90 90 91 90 98 98 96 88 83 92 97 98 97 98 98 99 98 97 97 96 95 95 95 95 95 97 97 99 99100100100101100100101101101102103104105 97 98 98 99 99108107106103104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113113111114113114113112109104103 99101999999 99 98 98 98 98 98 97 98 99 99100101101102103103104104105105105105105105105105105105105106106107107107107108108107107106106106106106107107107107107107107107107107107107107107107107107107107107107106106106107107107107108108108109109110110110110110110110110110110111111111111111111111111111111111111111111111111111111111111111111110110110109108108107106106105104104103103103103103103103104104104104104105105105105106106106107107107108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130130130132133135131127125121121119120119120120116127122130120116128118116118118117118118114116118118116119115114115116115114113115114116118121123124123120117115115113106106105108117117108116113108106111106106113104101101102101 98108110103108104 99102102105 89 87 87100999999999999999999999999999999999999999999999999999999 79 81 81 80 81 84 75 74 71 76 84 81 80 79 83 83 84 84 86 88 83 95 95 93 93 93 96101 93 97 98 98 98 97 97 97 97 96 97 97 97 97 98 98 98100100101100100 99 99100101102103104105102 98 98 97 98100108107105102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112113111112112110113107109106104999999999999999999 92 94 88 86 93 92 98 99100100101102103104105106106106107107108108107107107107108108108108109109109109109109109108108107107108108108108108108108108108108108108108108107107107107107107107107107107107107107107107108108108109109109110110110110110110110110110110110111111111111111111110110110110110110110111111111111111111110110110110109109108108107106106106105104104104104104104104104104104105105105105105106106106106106107107107107108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123127128128127128128127128125124121124121118118120117120115115129124131130130120117120120120120122117119119119121119118119117116115115114115115115116117118121119120117116114111112107108109110113116108114111107107115112114106104103103102101111105110108104 95 98 95 93 87 88 86 86 98999999999999999999999999 92 86 83 86 88999999999 88 81 81 80 79 79 77 78 85 74 76 84 82 81 80 86 84 87 87 91 98 92 96 95 98 98102102103 96 95 98 97 97 96 96 96 96 97 97 97 97 97 98 98 99100100 99100100100100100101101102101 99 98100 95 96 98100107106105103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112111112110110110111106104999999999999999999999999 94 93 93 90 89 90 89100100101102103104105106107108108109109110110110110110110110110111111111111111111111111110109109109109109109109109109110110110110110109109109108108108108108108108108107107107107107107107108108108109109109109110110110110110110110110110110110110110110110110110110109109109109109109110110110110110110110110109109109109108108107107106106105105104104105105105105105105105105105106106106106106106106106106107107107107108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121123124123124124123122122120120121122130118118118119127116115129130133133131131131130130130131124130119121121121121119119118117118118119119120116117117118128129130117116114113113111110110111115118114117110108109111115109108108109110107103106105104 98103108109104101 92 91 91 86 87 89 85 87999 90 89 88 88 87 82 82 81 82 79 78 80 85 84 85 86 93 89 84 82 82 84 85 87 87 86 89 88 88 90 90 93 94100 95 99103 99 98 97 98 97 99 97 97 97 97 96 97 97 96 97 97 97 98 98 99100101100100100 99 99 98 98 99100101102 99 99100 99105104104106105103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110113113111112112110110108107104999999999999999999 83 82 89 89 88 98 98 89 87 94107109112105105105106108109109110111111112112112112112112113113113113113113112112112112111111110110110110110110111111111111111111111110110110109109109108108108108108108107107107107107108108108108109109109110110110110110110110110110110110110110110110110109109109108108108108108109109109109109109109109109109109109108108108107107107106106106105105105105105105106106106106106106106106106106106106106106106107107107107108108108108108108108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119120120120119118117118118118121119120122120119119120121123122124125132131127127126129126124125125124121129130121123123121120120121123123122122123122116119119120123117116116115115114114114112111111111119119110108110111114111112112112112112111111110110105103106105105106100101 96 92 90 90 91 87 88 89 89 90 89 89 87 87 86 86 84 84 82 81 84 83 83 83 91 92 91 88 86 87 86 89 87 90 88 87 87 88 98100100 99 98 99100103101 99 99100101100 99 99 97 98 96 96 93 94 97 97 99 99100101101 99100 98 96 95 95 96 97100101100102 99100100101102104105103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110110109109113111111111110108107105999999999 97 92 91 89 82 80 83 85 84 90 95 93 97100103104113105105109112118110111112113114115115115115115115115115115115115114114114114113113112112111111111111112112112112112112112112112111110110109109109109109109108108108108107107108108108108109109109109110110110110110110110110110109109109109109109109109108108107107107107107108108108108109109109109109109109109108108108107107107107106106106106106106106106106106107107107107107107107107106106106106106106107107107108108108108108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118118120119118117117116117118120122123124124123123124125124126126123126128127126127126125124124125123124123124124125131123121121120121122123123123121120118121120120122121118118115116115115115115113112110109109111111111111112113112113113114114114114113112109108108107108106101101102 98 94 92 91 90 90 92 91 91 90 90 89 87 90 92 93 90 87 83 90 88 94 85 93 95 91 92 91 97 98 96 85 87 89 90 92 94 96100103103104104104106102101101102105104103102100 99 96 93 92 96 96 97 98 98 99 99 98 97 95 93 93 92 93 94100102101100100 98 98 99102105107103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110111111110111112113110109108105104104999 95 94 97 94 92 92 87 88 90 93 96 96 92 94 92103103103102108111112114105104115115119114115115115115116116116116116116115115115115114114113113112112112112112113113113113113113113112112111111110110109109109109109109109108108108108108108109109109109109110110110110110110110110110110109109109110109109109109108108108107107108108108109109109109109109109109109109109109108108108107107107107107106106106106106106107107107107107107107107107107107106106106106106107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119119117117118117116116116116119120122123124125124125126126127129129130128128128127126126126125126125125124124125125122126125123124122122124121120122120121120120120121121122120121118116118118118116115115115114113111112112112111113114114115116116115115116116114113112112111112110107103101100102100 99 92 92 92 93 93 93 90 91 91 93 95 96 91 90 88 96 93 94 96 96 95 96 95 96 97 96 95 95 96 95 95 97101104106106106107105106106105105105105106106105101100 98 95 93 95 96 95 94 93 94 94 94 93 92 91 89 89 88 90 93 98102100 97 97 98 99101104102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113111110110111112113112110108105103101 99 98 97 94100 98 96 95 88 93100 95 93102 97 95 92102104103108108112105115115111118122121123120121110116116116117117117116116116116115115115114114113113113113113113113113113113113113112112111111110110110110109109109109109109109109109109109109109109110110110110110110110110110110110110110109110109109109109109109108108108108108109109110110110110110110110110109109109109109108108108108107107107107107107107107107107107107107107107107107107107107106106106106106106107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125123123121119118116115115116116117118120122123124125126126126127127129129130130129128128128127128124124125125127127129125125125126127124125124124126124122122123121121121122122121122122122122122118119120119117119119116115115114114113113113114113116116118117117117119118117117117115116115113110104102101102 98 94 94 95 93 95 93 92 89 91 93 95 98 98 95 96 94 93 96 95 98 99100100100102100102101 99 98 98101103106107108109109107107107106106106105106107106103 99 97 95 93 94 93 94 94 90 91 91 89 88 88 89 86 86 87 86 89 88 90 92 93 95 97 99100103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115116116115114114114111110107106103101 99 97 97 97 96 99102100100 94 94 94 94100113 98 99106111111108103103101103114118121123118123122123122121119120119120117117117117117116116116116115115115114114114114114114114114114113113112112111111111110110110110110110110110109109109109109110110110110110110110110110110110110110110110110110109110109109109109109109108108108108109109110110110110110110110110110110110110109109109108108108108108107107107107107107107107107107107107107107107107107107107106106106106106106107107107107107106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124124122121118116115114113114115118121122123125126127128128128128129129130129128128127129129126126126128125126126127127128127127125126125125125124124126123125124125124123123122122122122123122122120120122121121122122122119118117115115115115116116116115116117117118119118118118119119118117116114112108106104106 99100 95 99 98 99 99 96 93 92 93 94 94 93 95100101101103103103104104104105106106108107105103103106108110110110111111108108109110109108107108106104101 98 96 95 95 94 92 94 91 90 87 86 86 85 84 85 83 83 85 84 85 85 89 92 95 97 99 98 95999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117118119120118115114113112109107104102 98 96104101103 98 99 98105100 98 93 94 98105 93 99100112109102113106105108106112123118115123126118119120120120120126120120121118118117117117117117116116116116116116115115115115114114114113112112112111111110110110110110110110110110110110110110110110110110110110110110110110110110110110110110110109110109109109109109109109108108109109110110111111111111111111111111110110110110109109109109108108108108108108108108108108108108108108108108107107107107107107106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123123123117115114113113112111112115120124124125125127129130131131130131130130129129128128129127127126128127125126128128128129130127127127124126126125126125125127133134124124123124121122123123123122122122122123123122123124122118119117116116117116116116116117118119120119119119119120120120118117116114112110108108105101101102103104103 99 95 94 95 97 97 97 99 99 99105109111110108107106108109110111110108107109109109110111111110111110109110110110110109107103102101100 98 98 98 97 93 94 90 89 86 84 83 81 81 82 81 82 85 86 88 92 95 98 98 91999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118122123120119118117116113112109107104101100103103101 99108101 99105 99 98 96 93 96103 96101 98102 98104115113110110100119119118128124120119115124128120116115122121120115126121118118118118117117117117117117116116116115115114114113112112112111111111111111111111111111111111111110111111111111111111111111111111111110110110110110110110110110110109109109109109109109109108109110110111112112112112112112111111111111110110110110109109109109109109108108108108108108108108108108108108108107107107107107106106106106106106106106106106106106106105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124125123122118113113113116115115112114117121124125126127129131132131131131131131130129129129126126127128125126126127128129129130129128126126126127128127128127127127128126128126125125125124122124123124124124124123124124123124121122119120119118117118118118116117118118120120120121120121121121121120119119115114114112111108109106105106104106103101 97 99 99101104106106101107112114114112111112113113114114114111110111112111112112110111111110111110111110110109109107105105103101 99 97 96 93 91 93 92 90 85 86 79 81 82 85 89 87 91 94 98100103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118120122120119116116116116113112110110108107104105104101101100103102102100107106100 97107106103111102106114107115114105120112119121119124123123116114116111117120118119120120120121121120119117117117116117116116115115115114114113112112111111111110110110110110110110110110110110110110110110110110110110110110110110110110110110110110110110109109109109109109109109109108108109109110111112112112112112112111111111110110110110110110109109109109109108108108108108108108108108108108108108108107107107107107106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123122120118116116115116115116118116118120122124126127128129129130131130131130130129129128128123126126126125123122127128127128129128128128126127127127127128128128127126126127127128125124123123123122125125124124123123124123122123122120121121119120120120119118119120120121121122121123123123122121120120119116118116117115114112110109109110112111110106107107107109107104106113117116115114113116116116115115115113113113113111112113111111111110110111112111111110110110108106104100 97 96 95 94 92 90 88 87 81 79 78 74 74 80 92 89 95 95 91999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117119121123119118118118117116115112112113109107105106106106105107103101103101104100103105109112113103111107107123129128117117117111113114122120115111110108114122114115119120121121120120118117122116116116116115115114114113113112112111111110110110109109109109109109109109109109110110110110110110110110110110110110110110110110110110110110109109109109109109109109108108108109109110111112112112111111111111111111110110110110110110110110109109109109109109109108108108108108108108108108108108107107107107107106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127124119115115116116115130115120121119121122124126126127128129129129129129130130128128128127129129128124124124123124124123123125125125125126126126126127127128128127127126126127127127125123123123123124123124124123123123123123122122119120121121120120119121120120122121122122122123123123123122121122120120118118120119119117116114114115116116114115114113114114113112111111114116117118116115116116116118117115114114114113113113112113112110110110111112112112111110110108107104101100 98 97 95 94 91 87 82 80 80 78 77 77999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116119119120120116118118117116113111112113111109109111110111108110101103110117105102106112112112112110112122115114122124116118120119123121116117117102111112107128109113120120120119120122118125124118119118117114114113113112112111111110110110109109109109108108108109109109109109109109109109109109110110110110110110110110110110110110110110109109109109109109109109108108108109109110111111111111111111111111111111110110110110110110110110110110109109109109109109109108108108108108108108108108108107107107107107107107106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124122117115115118119118116117122124122123127125127128128129130131131130130131129133131128130130129128128128127126126126125125125126127126126126126126126126126127127126126126128128128126123125126123124123122123122122122122122121121120120121121123122121120121121122122123123123123123123123121121121120120121120120120119117118117115115117118117117117118116117116114114114114118117119118116117116115117117115115115113114114113112111112112112112112112112112111111110110108105102101 99 99 94 89 87 95 95 94 91 91 90 90999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120120119117999999999999112115111113111111109109110108107108111110112111119117108108112113115114114115117115119122121117119120121125118122115105105108115125107107119120119117121121119118126107121108114114115116116112112111111110109109109109108108108108108108108108108108108109109109109109109109109109109109110110110110110110110110110109109109109109109109109108108108109109110111111111111111111111111111111110110110110110110110110110110110109109109109109109109108108108108108108108108108107107107107107107107107107106107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145140133128124120117119121122123122125127124125124127128129128130130130131133133133133132131131129129129131129129128128128127127128127129128128128127126126127126127126127126126125125128128128128126126125124123125124122122123122122121121120120120120121122121120120121122123122123124123122123123123123120121121121121121121119119120118117116116117118118119118120118118118118117118119118117120119119118117117116117115116115115114114114113112111111111112112112112112111111110109109109107104103100 97 89 86999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118999999999999999999999111110112112111111107110110112114113115119127113114115117117120119113114113118118114120121125126123121113108104109118116113113119117124114111113113116121113114112113115110111116114109110110110109109108108108107107107107107107107107107108108108108108108109109109109109109109109109110110110110110110109109109109109109109109108108108108109109110110111111111111111111111111110110110110110111111111111110110110109109109109109109109109109108108108108108108108108107107107107107107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138138137135130127122121121124126127125126128128128128126126127130131131131132133133133132132133132130131131129127127127126126124125126128128129128128128127127126126125124126126126125125125126126125124125123123123126124123122122121121121122121121122120121122121120121121121121122122122122122123123123122122122122122122122122121121120120118119119117118120120122122121120119119119121120119119120118118117115118118117117117117115116115114115114114113111111112112113113112111110110110111110108106103 99 93 84 83 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112111112113112112111110109112113113111121118110113114119114117116116107107122120120127126125124121118123114110113117118118130112111122111112113113113111111114115114119114110107112109113110109113114108108108107107107107107107107107108108108108108109109109109109109109109109109109109109110109109109109109109109109109108108108108108108108109110110111111111111111111111110110110110110110111111111111110110110109109109109109109108108108108108108108108108108107107107107107107107107106106106107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131132133132127122122122123126127128129129130128128129128128128129133131133132133132133133133132132132131130129126124124121121123125126126127128127128127125125125124124124124125125124125124124125125125123122123124122122122120121120120120120121121120121120120120120120121121121121121121122122122122122122121121122122122122123122123121121121121121120121122122122123123122121122123122122121120119117117119117118118117118118117117116115114113114114112112112112112112112112111110110110110107105102100 96 91 89 85 86 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113115113114113112109112115113111113113119123120112114113114132134114111121123121120121128123117114118119122117107111117130118119119109117109108115115111113112112116115115112105107111109109110110109111109108107107107107107107107107108108108108108109109109109109109109109109109109109109109109109109109109109109109108108108108108108108108108109109110111111111111110110110110110110110110110110110111110110110109109109109109108108108108108108108108108108107107107107107107106106106106106106106106106107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124125126126129129125123122122123123126128130130130129129131131129128130131132133133131131132132132132131131130130128127124122121121122123124123125125126126126126124123122122122121122124126127127124125124123126125124123123122120120120121118118119120120120119119120120119119120120121120119120121122121121121122122121122122122123123123122123123122122122123123122123122122123124121121122122122121120120119117117117117116116116116116116116115114112112112113112112112112112112111112112111112112109106104101 97 92 89 89 89 86 95999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113114115114111113116114115115114113113115115117117119109115111124119121132131121118120116115119116111111120129127114117114125128118118129108108108107114114106114111110109118111112109108108110109109109109110108108108105108108107107107107108108108108109109109109109109109109109109109109109109109109109109109108108108108108108108108108108108107108108109110110110110110110110110110110110110110110110110110110110110109109109108108108108108108108108108108107107107107107107106106106106106106106106106106106106106107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118121122122120122122119120120121123124128129130131131131131130131129129132131131132131130130132132132130130130128126127126123119121122122123123125124125125124123123123122122122122122124124125125126126124124122124124123121121121120120120120119118119119119119119119120119118118119119120119120120122121122121122121122122122121122123122122123123123124124124123124123122123121123123123121120120119119119119117116116115115115116116116115115115114112111111112112111111111111111111111112113113114113111106104101 97 95 92 90 91 90 95999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115114114114112115114115114116114118114114115114118106114103110109119123121133121119118119123131118124119119127122118118118114118118118129121117124107110107113104103109112113111111108109109104109108108109106107106108108107107105106107107108108108108108109109109109109109109109109109109109109109109108108108108108108108108108107107107107107107107108108109109110110110110110110110109109109109110110110110110110110109109108108108108108108108108108108108107107107107107106106106106106106106106106106106106106106106107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116117117117117118116117117118118115117119120124126128130131132132132132131131131131132133131130130131132132131130130128127123125125125122121121119121121122123123122122122122123122124124123123123123123122123123125123123122122123121121120120119118118118118117117117116118118118118118118118119118119119118121120119119121121121122121122122122122124125123123124124123124124124124125121122121120121121121120118119118117116118117119117116116116115115115114113112112111111110110110110110111111113114115115115111108105104102101100 95 92 94 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114113112114116116114112114114115115113114116117115120113104102104119121125115115118118118123130119125121122125128121122124117119118127127123121125115113106112113103107100 98110110109109108105110112111107105100105105107106105106107104103108109108108108109109109109109109109109109109109109108108108108108108108108107107107107107107107107107107107107108108109110109109109109109109109109109109109109110110110110109109109108108108108107107107107107107107107107107107106106106106106106106106106105105106106106106106106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117118118118118116114117119133133116117120122124126127129130132132131131131133131131132132131132132131131130127127126126124122121121120120118119120120121122121121122121121121121123123122122122122122122122121121121121122121120120120121120119120118118117117117116116116117116116118117118117117118118119118119121120120120120120121121123121124124123124122123124125124124126124124124122122121121120120119119119118116116118119120119119118118118117116115114113113113111111110111110111112112113114114115116116111105103103102101 98 99 93 98999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115112116115117118116114113110113117112112116114110113114111109114118121125118114117119118115123122120118116127124115122124111120121115128128122117108113111115112109114105103108108109114112109111108109112111103105105108112108107109102102104105108111109109109109109109109109110110110110110109109109109109109109108108108108108108107107107107107107107108108109109109109109109109109109109109109109109109110110109109108108107107107107107106107107107107106106106106106106105105105105105105105105105105105105106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117119119118118118116118133134133132130118119121124125127129130129130131132132133133133133132132133133130129127124123122122120121120118119118117116117119120120120121120120120120119120122121121121120120121121120120120120119119119119119119118118118118117117117117116117115116116116117118117118119117117118118119120119119119119119120121121121123123122123122123123124124124124124123122122121122121120119119118118117117117119120120120121120120119119118116116114113112112112112113114114115114114115115115115114110108105102 98 96 94100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113117117116117116115111112113113109110109116114113111104109113104116118122117115117122122121120119127121128122116121121116113120129128119118120118114111115110111122108104117112112111108108113110111111107110110106106111112112108107104106109111109108105105109110110110110110110111111111110110110110110110110109109109109109108108108108107107107107108108108109109109109109109109109109109109109109109109109109108108107106106106106106106106106106106106106105105105105105105105105105105105105105105105105105106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117112114116119118118119121120135134134132116119121122122124124126128128130131130131132132132132133134132133134132131129123123121120117116115115117117118117117118119119120119120119119119120118119119119119119118119119120121120120119118118117118118117117117118118118117117117117116115115116116116118118118118118117117118118120119118119120120119121120120120121121121121121122122122122123122123122122121120120119119118117117115115118118119120120120119120120119119118118117117117117116117117117117117115116116117116114114114107103 97 93 90 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113112114114115116118110110111109111108112110106108108105104113114115112118120116114119118121120119121127123126125122123118121127122123121120122128128122122117111115102103110111110111107111110107112109111111111112109111112111107107107115108110109109108106107110114110111111111111111112112111111111111111111110110110110110109109109108108108107107107107108108108109109109109109109109109109109109109109109109108108107106105105105105105105105105105105105105105105104104104104104104104104104104104104105105105106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122118116118117116115115117118121121130128127118121122122123124125126127128129129130130131131131132132133132131131131129126124123120118115110115111113115116116116117118120119119118118119118118118117118118117116116116117119119118118117117117116117117117117117118118118118118118118117117116116117117118117118118118117117117118119119120120119120119119119121121120121122121121123123123122121122122122122120119119118118118118117117117118118119119118119118119118119120120120119119119119119118118118118118118118117118118115114112105 98108104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112111112113116116118112108109107110108111109110109105111111112112115114115120121116118119118120121121120126122125122122121121127121116121118116106122119113112109114113112111106108108111113107106109108107108108107105110111110104108107108109108108112105102107102108110113111112112112113113112112112112112112111111111111110110110109109108108107107107107107108108108109109109109109109109109109109109109109109108107106105105104104104104104104104104104104104104104104104103104104104104104104104104104104105105105106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124121118116115114114116117118119119120119121120120122123123123124125125126127128128129129130130130131131131131130130128126124124123121119118111111113113114114114114116117118117117117117117117117116117117115113114115115116118117117116118116115116115116116116116117117116117118118117117117118117117117117118118118118116117117118118119119120120120119119119120120120120121122124124124123122122122123123122121119119119118119118118117117117117118118119119119119118119119120120120120120120120120119118118118118117116116115114110105101112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113109113116116114113112109109112108108110108109108109114109112113113113117118118116120121119119115114120127128128124111122123125112119123118119116119123116108110109109119109114114110115108108107109109109109108109110110110108106106107109111108113106106102105104112113113111112112113114113113113113113113113112112112112111111110110109109108107107107107107107108108108109109109109109109109109109109109108108107107106105104104103103103103103103103104104103103103103103103103103103104104104104104104104104105105106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130128123120118113112115117118118119120120121121123123121120121122123125125123124124125127128127128129127129129130130130128126124123123123123121117115112112113112113115115116117116116116116115116114115115115114113112111113114114115115115115116115114114114115115115115116116116116116117117116117118118118117117117117117117116117117118118119119119120120120119121120120119121122120122123123123122122122122122121120119119118119119119118117118118117118119119119119120118119118120120120120121120121120119118117116116115115113111109105102100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112113113109105105115114104107115107109111113110110113114112118118118118111111118118116118119119122120120114122126122124115115118119117116117116110117113115114114113115111117108110107109111110110112110112112112113114108110109108111104107105104119120111113118112112112113115112113113113112112112112111111111111110110110109108108107106107107107107108108108109109109109109109109109109109108108108107107106105104104104103103103103104104104104104104103103103103103103104104104104104104104105105106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129128124121118115110113112117118117117118121122123124123122122121122123124124122122123124124126125125127126126129130129128128125124123122122122121117115113110110110112113114114114115115114114112112113114114114113112110108109110111112113113113114114113112113114114114115117116116116116117116116116116117117117117117116115116117117118118118119120120121121120120120119120121122122121123123123122122122122121121120120120119117118118118118117117118118117117119119119120121119119120119119120121121120120118118117117117116113112110105100 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112112106105107116116117117106107111109113111114117116113113117116117115114119121113113109117113112115118118125107124120121119121119117106109109113114108112112115115112114111111109112112107110111111111113114115108108110116105109109108110105118118110112113111112112113117112111112113112112111111111111110110110109109109108107107106106107107107108108108108109109109109109109109109108108108108107107106105104104104103103103103104104104104104104104104104104104104104104104104105105105105106106107107107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121119118116115112112113113117116120120120121122123121123123122122122124123122122122122122123124125125126125128128127127125123122122121122122120117118116105105104107109111113116114113114113113110111112111112111109109107107108109109110112112112113112112113114114114115115116116117117117117116116116117116117116117116115116117117117118118120120120121121121122120119119121121122122121122121121121122121121120120119119118118117118119118117117116116118118118118119119120120120120119119120121121120120119118118118116114112109106101 99 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109112109104107106108116116109110109112109112113111118119116111117118116116115114116116120121110118117118118117121117127124123123118117118113113112114113111113107115116115106105104112111111108110113114113114113113114112115116117109116105105110118111110111112112112112114111110111111111106106111110110110110109109109109108108107107106106107107107107108108108108109108108108108108108108108108108107106106105104104103103103103103104104104104104104104104104104104104104104105105105105106106107107107108107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128122118116116115114116115115115113114117119119120120120121119122122122122122122121121121122122123124124123124124123124124124122122122122122121120120119115118108102103104105107111112112112111112112112111109108107109110109106107107106105106106108108108108109109111113114114114115117117116116117117117117116116116117118117117117117117117117118118118120119120120120121119120121122121121121122121120120121120119119119119118117116117116116117116116117116117117118117117118119119119120120120120120120121120120120119119118116114113110104100 98106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108103100106102107110111111113111107109109110106110117118110114114114110115114115116118118119118105109116121120118118118117118120116110111114113112118121113106 99113107110117111109111115112114114115114112114113113116117118117106112114115118116107112111112117117114110111110113109110109115109109110109109109109109109108108107106106106107107107107108108108108108108108108108108108108108108108107106106105104104103103103103103104104104105104104104104104104104104104105105105106106106107107108108109107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131126122116112112110113113112109110112114117118118119119121121119121121121120120121120120120120121120121122121122120122122122121120120119119119119119118118116118110108106106106108110110111111111111110109108109108108106106104105104107106104103105106107107106107108108111111112113114115116116116116118118119119117117116117117117117117117117118118119119119119120121120120121121121121120121120121121120121120119118118119118117117116115115116116115116116117116117117116116117118118119119121121120120121121121120121121121119118116114109103 98 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106 99107101102105108110110109110109109110110114117117114113115114114115114114113114119118118117118128124123122123123116119120123118117115118117118121123123120105105114114113119109109108112113120116115114116117118118118111111114112115114113112117112113113115115113115115109105109110108107107114109109109109108108108108107107106106106106107107107108108108108108108108108108108108108108108108107106105105104103103103103103103104104104105105105105105105105105105105105105106106107107107108108109109108106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131127124120116112111109108111110108108110112116117118117118118119119119118118119118117118118119119119118118118119118118118120120119118118117117118119118117117116114114113111110111112109108111111111110109108106104108105104105104105105105101100104103105106119119108109108108109110111114115115116116117118119119119118120117117117117116116116116116117118119120119119120121121121121120120120121120120120119120119118118117117116115115115115116116116117116116117117116116117116116118118119120121121120121121121122122122120119118118118114108102 98107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114115114112111999999999999999107108108103105103106109108108109112110115117112108115114114116116117120114114112108108117117114113122119126112124121116118121121117115111116114110119123124121121119110110103112120110109114114116115116116117117117109119108107107114122120112113111111115110116112113114115109108109101109115114108109109110109111111109109108108107107107107107107108108108108108108108108108108108108108108108108108107106105105104104103103103103103104104105105105105105105105105105106106106106106107107108108108108109109108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123127128124121116112110107105108108107109109110111115115116117117117118118118118117117115116116117117117118117116116117116115116118118117117117117118118118118117117116117117117115116115113112112113112110110108107105104104102100102103103103101100100103102102114117117106107107107108110111113113112116116117117117118119118119118118117116115115116115116117119119120119119119120120120120120120120120120119119119119119118117116117115115116116116115115116116114116117115116116116116117118118119120121120119120121122121121120119118119119117115109102 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113116113114114115113111999999999110101102103105104104105106109109108109109115117106107109111111110110113114114113112113114109112112107111112111111120116109112117110109110112112112117122119117110119116114117117110108108115119117116119117117116116118117123119123120114118117113112112112117108111111108113111110111110106115108115107108110108111111110114111109108108108107108108108108108108108108108108108108108108108108108108108107107106105105104104103103103103103104105105106106106106106106106106106106107107107108108108108108109109109108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116118120122123120117112110108108106108108109111112113113113114114116116116117117116116115115113115114115115114115114114114113113115115116117117116118119119120120119118118118119118120120119118115114114113112110109107106104102100 99 97 96 96103 93100 98 96100100101103115114105105105106107107108110110112115116115115116116116116118118118118118117116116118118118118119119119119119119118120120119119120119120119119119118117116116115115115115114115115115113113114114115116116116115116116116117118120120119120120120121121121120120119119119118116111107104109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113114114113114114111108103106111104103105105106108105110111113109108109110113109106108109109105104111114110114110115118112108107114113113112112109115110111115115109107107108118115117120112119107113111117119123117113119118118114114118118120116117116122123116116111114117119120118117111110106113112113115113110116113114116110112110108109112112113110110109109109107108108108108108108108108108108108108108108108108108108108108107107107106105105104104103103103103103104105106106106107107107107107107107107108108108108108109109109109109109108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120119116116117117117115113110109108107106105108112113111111112112110111112115115115115115114113113113113112114110111113113113112113115114115115115116117119121121120123123121121121123122122123122120118116115113111110108106105101 99 99 97 98104105113 90 95 98 97 97 98 98103101112113113114116107106109110109111114114113113114115115115115116116117116117116118118118118117118117118118118118118118119119119118119119119118118117117115114115115114113113113113113113115115115115115115115115116116117116117118119120120121121122121121120120120119118115113111109103111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113109112114114113111109107108105104103107104106109110108112111111114113112111109107106107107107105114118110107111115117116103100107107109109108111106110108110107107104103106115117114113115108118118111115114123121112120119118115117118117110115116110113119119121119111111115117115111110111110109112116110111112113115112116112116111110109115109110111111110110110114107110111111109109109109109109109109109108108108108108108108107107107106106105105104104104103103103104104105106107107107107108108108108108108108109109109109109109109109109109108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126124122120119117115114115111111107107106105105104105105109114111111109109110112113110112112112111110110111111109111111108110110111109113114115116117116118119119119120121122123123123123124122122124122122120119116116115113109108102101102105107104108101105 95 95 97 97 98 97 98100 99 97107111113113114103108110109111112111111111113113114114115116115115115116115116116116116117117116117117117118118118118119119118118118118117117116115115115115114113113112113113113113114114114116115114114115115116116116117118120118119121121122121121121120120119116114113110107122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118116115116114111111110107108106106107107105106107110109111113113115114109108110104101103 98101107112107108108108107114107103104106106108107107112110107107107106105106109110114107108116118110105117111113113115113119120118119118119113112111110118109116117117120116115116115112114111117110116110110116111114111115115112111111110110110116116111109109110111109110109110110111115110109109109109109109109109109108108108108108108107107107106106105105104104104103103103104105105106107108108108108109109109109109109109110110110110109109109109109108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130126125126123121120119118118118116113111106104102103106103105109106105106107109110110108112111109109111110109110110110109109108107107106107110111111114116115117118116117117117116118121122122121121123122122121121119117117117114110107103102 99108109107103100105105 94 96 95 94 96 97 95 92 89 88 89105110112102107110110110110108109111111112113114114114114115115114115114115114114115115116116116116117116116117117117117118118117116115114114113113114113112111112111112113113114114115115114114113113114114115114116116117117118119122121121121120120120120117115113109104121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117116116116115112109109107110110109108108114113109109112113114109115113113111110105105102112 98102108106107108107111110113111112104106109109108111110110107107106106108109103103108106107114116113111109110113112113118119118118117113113111110108119108117121119118119117118119104106116110115110110103116114112109110112111116110111109109110110111110101102109110108108110116111110111107107110109109109109109109109108108108108107107107106106106105105104104104104103103103104104105106107107107108108108108108108108109109109109109109109108108108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120119122126123122123121118117118119120123119116112102102102102102102106110110105106103106107107108110110106106108101107107109109106107107108107108109112114115113113114116116114113112114114116117119120120121121122123123121120118117117114111107101100103105109109106 95 95113114115117 93 94 96 93 97 89 89 89 93108111100104107108107106107108111112111112113113113113114114114114114114114114114115116116116116116115115116116116117117117116114114114113112114113112110110110110111112113114114115114114114113113113113114115116116117117118119121121121121121121119119119117113109105123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113114114114112110112108111110110112111109110113114110112113111110115112114113109107104105107104103108102101109110109110110113104105106106105107108110106104103103103106101102106106107108111112112108110110114113113113114117118116116116113119117114116114114114118112112119113114115116111116116112110115115112108112109107110115110109108110109109 98 98105108108107108109114109110110108111109108108109109109109108108108108107107107106106106105105104104104104104103103103104104105106106106107107107107107108108108108108108108108109108108107107107107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116116119120118116116118118115116118121137127123118112108104101101102104104103108104104104102104109109104108104108107100107106109106106107107107108108109111113112111111112112113112110111112113113114116117119119121119120121120119119117118116113107103102105104107107105103103109109108118121115113 97 96 88 88 89 87106110100102101103105107108109110111111111112112112113113114115114114114113114114115115115115115115115115115116116116115115113114114113113112112112110110109108109110110112112113113114114113113113113113113114115116117117118119121121120121121120118117116115112109104114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112115117115116110109108108108108108110110110111111113111113115117110113113114112112106107107110106107106105102102103100109102 98102101102102104105106106106105107108107106101102104105107107108110110109111109110113114117113113114117118121117120113110117120110117119118118118113110113113111114112103111117107114109112112112109112108107107112108106106104104108111113107107108108115109109108109110108107108107108108108108107107107106106106105105104104104104104103103103103104104105105106106106106106107107107107107107107107108108108108107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119116116117118115113112113114114117120124130129126119111101100 98 97 97 99 95 96 99100104101101101106106102105102102105 99 99105104104104105106107107107107107107108108108108108108109108107110111112112112115115118119119119118117116114115117115112107104103104104105106108108108109109109103104113110102 98 99 98 99 99 97101101102102104107109109110111111111112112113113114113113114114115115114113114114114115114114114114114114114116115114114112112113113112109110110109109109109109110110110111111112112112113112112112112114115115116117118119120120120120121120120119117115113111108103113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112116113115113109105104102105105106110110110111111113113115113114114114115112111111109110109106108108105103103106101100 99101104107103101 97 98106108106105103104104101102103103104105106106108108108109108107107110119116113119117119119119118120114112110115110116113110119117112112114114111111112113111116117113111111110106107106110105111109113 99 98106102106106104111106107105107107107108114109108109108108109108108107107107106106105105105104104104104103103104104104104104104105105105105106106106106106106106106106107107107107108107107106106106106105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121118118116115115114113111109109111118122125130133124117111106 98 98 98 99 97 96 99 93111111 96 96 97 99100 99100 99 99 99104105100 99101102102103104103103103103104104104105105105103105104103108108109111112112114116117118117117117114113113114115112108106106107107106105105104105105107108107107107106103103 97 99102103105103101105107108110110110110111112112112113114115115114114115114115115115114114114114114114114114114114114113113114114113111110109109109108108107108107108107109109108110110111111111111111112112112113114114115117118118120121121121121121120120119117115114113109104113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114112113110107105104102101102105104106109111111113112111112114115115113111109112109106109105103104106103105103103104105105999999999104104105106106105104104103102101 97 98101103104105105107107107108107107108118118109112119111119115119117118115117115113112112110110117116115113111111111111111110112117110111112111102100109107111108110112106101102104103109101111108110108109111107107107108109109108109108109109107107107106106105105105104104104104103103103104104104104104104105105105105105105105105105105105106106106106106107107107106106105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126123119120119118115113112113111110111112111115124126999128120115109102 96 97 98 98 96 93 96 95 94100111 93 94 93 97 97 97 97 98 96101102 97 98100 99 98103 99 99 99 97 99 99103103101102101100100100103114116117117110110111112115116116115116113112111112113110107110111111109108107107107108107109110109107104103104105106102103103105106107108109110111112110111111112112112114114115115115115115115114115115115114114114114114114114114114114113112112112112111109108107107107107107107106107108109109109109109109109110110111111112112113113113115116117119119119119120120121121120120117115113112109103107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110113112109107105105107105103104103105107108111112111110110110113111110116112112107103111107107104102102102103108106105104103999999103106103105102105104100100101 96 98 99101110112111105105106107106108109108108121115111112111111110114116119119120110109111111109109113112114111110109109113109113117111113110106108104108105106105106108110104103106108104106104 98 99103101105106107108108109109110110110109110110109108109109106106105105105104104104104104104104104104105105105105105105105105105105105105105105104104105105105105106105105104104104104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127126123123122122122122119118116115114115118999117115117122999999999999999111106 96 91 94 92 95 89 88113112 99 99111 96 96 96 96 96 97 94 93 92 92 91100 97 97 95 94 95 95 92 90 96111110110112 96 97 97116100112113116117116115108108110111112114114113112110109111112111110111113112110108110109109110110108108109108108106107108108107108109109109110110110111110110110110111112113113114114115115115115116116114114113113113114113114113114114114114113112112112111112110109108107107107106107107107107107107107108109109109108108108110110111111111111113114116118119119119119119119118119119118117115112111108106107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113109107107106105105104104109107108111112112111112110111113114115112113112110108104107106108108107107107107105105106 98 98999999102104102103104109100101 98 99101100104104106110111105106106106107108110120120113111112112111108113113120120118113113114116111109109113113110109110110113111111112107108113114107113108110111111105104104111102110101106100100 99105106101107107107108112110108109109109111110109108108108107106106106106105105105105104104104105105105105105105105105105105105105105104104104104103103103103104104104104103103103103102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130128126125123123124124124125123121118117999999999119116117119999999999999999999109105 99 93 96 95 95 91 88111 99100 99113111110 97110 93 92 88 90 90 90 90 89 90 92 92 92 91 90 91 91 91 92 93 91 95111114110 98 98 99 99112 97100103105107108110110111112111111110111111113113112113114114112112111110111112113113111111112113112111112111111111111110110111110109109110110111110111111113113114114114115115115115115115114113112113113113114114114114113113113113112111110111111110110109109108107106107106106107107107107108108108108107108108109109109109109112113115116117118118118120120119119120119119118116114112108104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109111110107107105105109108111110114115114113111109111115114113112110110110109105103107107107106105108106103102102102 97 97100999999999102101102108104 97101 97 97100 98107108110112112107106112106110113118112112113112117121118117117119117115113115113106104107106110114111108110109110107111110110106110112107112110107110107110105105104104102101101106101103102108 99102114107108101 97112112114109114109107107107107106106107106108106105105105105105105105105105106106105105105105105105105104104104103103102102102102102102102102102102102101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132130130129125123124125125126127127126126123122122123121120120999123999999999999999109105102 99 98 92 96 93108108104 99109110112111 92105105 89 86 88 88 87 87 89 86 91 86 85 88 87 90 89 89 88 96 92 95109103 95 95 90 92 94 96 96 97101105106108109109109110111109109109112113113113113113114114113114113115116116115114115114114115114113113112112111111111110110110110111111112111112112113114114114114115115115115115115114113113113114114114115114114114114113113113111111110111111111110109108108108107107106107107107107106107107107107107107107108107107107109110111113114116117118119120120120120119119119118115114110103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112111107107108113110112111113111111113113112111110110112115114113109109110106106105106105105104109109103104106106103100104104101999999101106108109102104105102106104104104108109110110110112114112115112112113112111113115116119114115114115107109108105109110100107108107105101102111109107106109106112112113116114110106101112104109105105103102 99107101104102103106108113105107 91104105114114109109108107107108107107113107107107108106106105105105105106106106106106106106106105105105104104104103102102101101101101101101101101100100100100100 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133131131129126123124125126127125127126126123122125124123122123122125123999999999108105100 99 98112116115111104103101100 98 97107101100101102104108107 90 85 91 86 91 87 85 84 84 84106 88 93 96 96 96 96 96 96 97 99 98 99 99 97 96 96 98100105108110109109109111109108108109111113113113114114116117117118118119119116116116115115114113114113113112111111111111112112111112112112113111113114115115115115115114114114115115114113113114114115115114115114114114113113112112112112111112111110109109108108106106105105106106106106106106107107106106106106105106107107109110111113116117118120120120119120120121120119117115112107115999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109106107104107109110111113112114111113112114112107105111111112114113112107107108106107106102107107107106102104108103104104102 96 96100101104101103101102105102101999100 98 98 99102103103112114110111112111111113112118117117113112112114113112111108112110109107111113107104109110111110107109106110106109110114106113107104108108106104105 97107102101103106100103107105107107 98 98107 95101107116114109106107112109108109108108108110109101108106106106106106106106106106106106106105105104104103102102101100 99 99 99 99 99 99 99 99 99 99 99 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124123123124125125125126126124123121124123122123122123121121123123114110108105105102118113113111111117116113111107105103102103 91108110109106 84106104 90 85 84 87 86 94 96 96 97 98 96 98100101102101101102102104104105101 99 99103107108109109109111108107108110111112114114114116119120121120121121120119118117115115113114114113113112112113114114114113112112112113113114113114114114115115115114114113113113113114114114114114114115114114115114114113113112113112112112110110109108107106105105105105106105105106106107107106106106106106106107108108109110111113116117117118119119120120119120119118118115113108114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107104106106107114113113111111112111110110111111110114107109111112112113112112108108109108108106105105109108108105110110104106103100 98 97 96 97 98102102102103102100102103103101103102100103108105108111110111108111111119118123118109112114112114114108107107106112109107114106110111104106106110111108109107106108116106111108111113104110109106104 94100103104101105 96102105112112106 99 98102105107107108108108108112109109109108112110102106109110106110105105105105105105105105105105104104103103103102101100100 99 99 99 99 99 99 99 99 99 99 99 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123999999999999999999999999999125121119122122123121121120118115112110109108108108120120120121107108102 99104105102111110 96 95 94 91 88 88 86 83 88 85 88 89 90 97 98 99 99101 99100101104104103103105107110111113110107107103105105106107107106105108108110111113115116118120121121121121122121120120119118116116115115115115114114114114115115115114113113112113114114113113114114115115116115114113112112112113114114114114114114114114114114113113112113112112111111111110109108107107106106106106106106107107108107108107106107107108107109109111111112113114116117118119119119119119116117118120117115113110106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120118115118999999999999999999105105105105106108112113113110112112109111110109112110111110110108111113113111110107107108108106106108106110111111107113111108105104 98102103105105103 98102105100101102 99 99104105109107 98105106107108110109114110115115111109114113112118119112115110110108110111109105108114107109111111113114115110106105107106107109106112113101101104108104110106104103104102102107106 97111104106105106113104114108107107102106108101104108110106109111105102108104 97105 98102105104104104104104104104103103103102102101101100100 99 99 99 99 99 99 99 99 99 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128122121122123123123121121120118115112110107107110110110109110109109112109109112112106106103102 93 94 88 87 87 86 85 89 89 90 96100 94 96101105101102104106105105106109111112114117117115111110106103103104104105105108109111112114116117119121122121121122121121122121119118117116116116117116115115116116116116116115114114114114114114114113113113114115115115114114112112112112113113113114114113114114113113113112112111111111111111112110110108108107108107107107108108108108107107107107107107108109109109111112113113114115116117118118119119119119118117118118119117116112107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117114115117117116113108107106106106104110108108107107109110111107104107108112117108111109113112109114111114110110108110111111110109109109109111109108112110110109106107101102103106108109108109109103104104104104103105105102 92 98106104107107108110106111110109105110113113114114111113113104102112106110112111107105105112113112113110110109108110109106107108107110107 96104106108108107102106108110110106102102103105103106109112107105106110106114112107 95101110110110107101108107106109 87 98100108103 94103103103103103103103102102102102101100100100 99 99 99 99 99 99 99 98 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129128126122122120119120118120119117114113110107108109108109111112113112116117116117113112114106103 96 95 89 89 87 88 89 90 91 91 95 97 97 98100 99107108110110110105105110114118115119118117114110106105100101103104105107108110113115117119120122123122122123122121121120119118118117117117118117117117117117117118118117116115115115115115114113113113113113114114114113112111111111112113112112113113113113112112112112111112111111111112112111111110109109109108108108108108108107107107107107107108107107109110111111112113115117117117118118119118118118119119119118118117117111108107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116116116114114116117116114110107107108112110111113109101102107106108109108105114115122113114112112115116117115115114114114110111110111111111110112110110111112107107110106 98101104108107108105104106109107107103103104102107107 99 93106107107106106106110104110110105106116114113112108107106109112112108104101106113109107112112111113109109111102106106111106103105108105108110110113111107108102103106111107103103106111114110106111109108107102 98107104103 99107109111102 97109105109104108108100105106101100108101101102102102102102102101101101100100100 99 99 99 99 99 99 98 98 98 98 98 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140128123120121999999999119118116114114114113113114115117999124122122121122122124124999999111105 99 94 90 90 89 92 93 93 98 97 97 98 99 97 98 99103110111111110107108116999999999999121115112110107105100 99104104106107108109113115117118120122123123124123122122121121121120119119119119119119119118118118118118118118117116116115115114114114113112112113113113114114112112111111112112112112112112112112112112111111110111111111111111111111110110110110109108108108107108108108107106107107108108108109110111111112112114115115116116117117117117117117117117117117116116115112109105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121116114117117116114115116114112112109108113114111113115112110102108105103107105108114115116116116114115114115116115114114114115113114114112111113109110111108113112113114111109106107108110109109108106109112109108108103101103104106 94 96 99103105107107108111106107106113115114110109108111111113110112112106102 98103110110112113109112109105106111111110109104113110110110109111106106110111111113114103101103104113107102106108102104104101107103100 94109106110111112112109108103107109107100111109109107101105102107101105102101101101101101101101100100100 99 99 99 99 99 99 98 98 98 98 98 98 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140134132999999999999121117117117116117117116117118118120999999999999999999999999999999999999106101 98 94 96 98100100 97 97 98 99103104103 98102105107108109110109108112999999999999999115111109105102 99 98102104106107108109111114116118119121122124124123122122122122122122120120120120120119119119119119118117118118117116116116115115115114114112113113113113113113112111111113114114114113111111112112112112111110110110109111111110112111111110110109108108108108108107107107106106107107108108108109110110110110111113114114114114115116116116116116115115116115115113113112109105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122119120117114115115113116115115112112112109113112113114114114110110111112107107109110115113119116115116118116114115115115114114113112112113112114113111109111113110115109115117113112112109110112111110108106112112110111109107105105102102 95100100103103105108107110105107112111111113103102113111105115105105112111103108108107112113108106109109107100111106109102107103106105101100101104103 99100104106102108108101105106103 92 92 97100109110110106101101 99105109108105105111109105107112100108109110103104105106107100 98102101102101102103101101101100100100100 99 99 99 99 99 99 98 98 98 98 98 98 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144141139138124999121119121119117117117118118118120119118121123999999999999999999999999999999999999999105100102105104101 99 99103105106107109104105105107108106108110110115118116999999999999112109104100 98 97100101104106107108110112115117118120122123123122121123123124123122122122121120120120119119120120120119118117116117116115115115115114112112113113112112112112112111113113113113113111112112111111114112110110109109109110110110111111111111110108108108108108108107107106106107107108108108108109109110110109110111112112113114114114113114113113114114114113113113114113111108105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117120122120116115115115115115116114113113113113116113111112114113108110109111113106109111113120121118115116118118115114115119117114112112113113111112114111112107114113112115116116116114112114113113111111109108111113113113111106107110106109 97 97100101106 96109107109105108111113115112110107112110115114106113114116114111105104106113103105104107106104112105101111106110104103111101106106102 98100103101103107 98 99108111108102 95107104 94108110105109104103108103104105107108106100102105107106102102104104104100101103103105 96 98101101106106106100100100100 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143143142142124999999999999999116115115117119120120120122126999999999999999999999999999999999999999999999999113112106104101101108116115109111107104105107109106109109115118119123126999999113112108102 97 96 96 99 99102104105108110111113116117118120122122121120121123124124124123121120121120120119120120119120119118116117116116115115115114113113113113113111110110110110110113113111111113114113112110111112112110110109109109109109109110110109109109109108107106106106107106106106107108108108107107107109109110109110111111112114112113113112113112112112113113114113114115112112110107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119121122120117115118115116114113113112115117116116110110111114114113110110111107109110113118119116117118119119120117118119116112113110111112112112111113114113113114112109115116116117113112113113115112114110112113114116113113109108109111109103 99103103106104109110114105107110109110108110114102103116112110111111114108109112106108105107109110104104104100106108110103103102100101106105107 98100 99105106 94103101104110103105108102 95 99 98 98100 99100100 94100101102109102110108104104108109107101 99 97 98102103103102103106100102101 93 92100101101100100100 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129127125124999999999999123119114115120122124125999999124999999999999999999999999999999999999999999999999118115111108102101103117115115118107101104108110112112113116119124124128999999112111108100 97 95 97 98100101103105106109110112114116116117120122121121121123124124124123121121120122120120120120119118118117116116116116115115114113113114113113113110109110111110110110111113113113113113113110110112111110110109109109109109110109110109110109109108108107106107106106106107108109109109108108108109109110110109109110111112111111111112112112112113114115114113113112112112111108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118119120121121117114114114114113112113114114117115115113113112116114114114113113113112114117119119117117118117116114117116119116116114108114115113114112114113112113113115112114117116117115113114115117116114111113114115114119119117113113110114107 99105104103106109111108108112118108105108113114106105111112111111111113108109112114106104106107110104104103102101103 99100 99 99 98 99103 98 99 97105 90 91106103105103107109102106 99 93 93108 87 87101 93 91 98 99100104100104101100101103 97 89107107102 99103103108101101103104108103103102 88 94 94104 95 99 98 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121120120122125128130999999128128999999999999999999999999999999999999999999999999999115110106106102106104103108116105109108108109113116118119124119123120126999114109108102 99 97 95 97100101103105106107109111113114115115117119120121121122124124123121121121121122121120119119118118116117116115115114114114113113114114113113112111111109110110112112112113113113113113111111112112112111110109109110110110110111110110110109108108108108108108108109108108107108109109109109109110109109109109109110110110111111111111111111111112113113114113113113112113112112112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118118120121120116114114114113112114116115115115114114113112114115114113114114113113114114112116119116113113117116113112117116118118118114113113115116113112113113113113116115115115118116116116116116117116114113115117114115117118109108109113114113106 99102107110108111108110113112111113113117116116110109111108113112111110110111110104106107102101104109 94 99 98101 99 98 98 98 97 97101 97 96 99102 91 90106 97101107107108106101105 98 98110108 92 96 99 91100 97100102 97 93108103101101101100100100103105105103107104102 95 96 99100104102 97 96 94 98101103 99104103 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121124125124125127127129999999999128128999999999999999999999999999999999999999999999999999999999113105101101107107114117117119117114113114115116114114118119118120999999999108107104 97 97 97 98 99101101103105107108110112114115116119121120121121121122123123122121121122121121120119119118117115115114115114115114114114114115115114112111112111111111113113113110113113113113113113113112112113112111111108108110110109110110109109109109109108108109109109110110109108109110110109110110110109109109109109109109110111111110110110109110111112112112112114115113112112111111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118121121120119116115115114114114116117117116116114116115114115115115113114114114112112116115113112112113113117111118118115114115115117113114114115115113112114114115115115115115117115115115116116116114115115110112116115115114114111110114114114115108102109111108111111105108109109106108116117116118110100102112109112113110109 94109104104103 96100110 99 97108107101 99 98 98103101 97 94102 97 93 95 93 93106 96102107110101100 97101110110111100100105 98 91 98 97101107104100101 99 94 97100102105102103 98101 99 97108105 95 99104107102103107100 99104 99105103103 99 96 97 99 99 99 99 99 99 99 99 99 99 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122121121120120121999999999999128129999999999999999999999999999999999999999999999999999999999999999999105104102109117123125125124123120117118118116116119122118999999999999108103103 98 97 98 99100100100102104107108110112113114116119121121121121121121122123122121121121122121120119117117116115114113113114115113115116115114114113111113112111111111114114114111112112113113112112112112112111111109109107108108110109109110109108108108108108109109108109110110110109109110110110109109109109109109108108108109109109109109109109109109109111112112112114114113112112109106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119121120118116115114115114113115117115116115115113114113116116115111113113113115115113114113115115115112116115114115115116115115114116114115116114114115111115113113115115116115115116116112116115115115113112110110112114113113110112115115113117118115113108110110105105108110109110108116118119119113111113111111112114110105101105101105110102 94107100 98 96 97106104 96 97102101100 97 97 96 99 89 90104104106107104107109 98103 99105 98102100110 99 99104106104106106101103 91 97 99 99 99106105104 96 96 91 97107108104105102101101107107108107 99103105103103103 96 96 99 99 99 99 99 99 99 99 99 99 99 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120124119124130133132131127123121999999121120123999999999999999999100 98100 99 97 99 99 98 99101104106107110111112114117119120121120120121121121122121121122122121121120118117117116115114113113114115115116115115114114114113112112109111109113113111110110110110110110112112111111112110108109108109109110109109109109108108107106106107108108109110110109109109109110110109108109109108108108108107108108107107108108108106107108109111111112112112112112111108106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119121121120117116114112114115112114117114115114115115115115115114115113113110114112116116116116116115116115115110114116117115115113113112113114114116115114114114112112114115115113114117118119117116117116112112112113114112114114113117116113113114114104103108107100105105104108109109110117118116117110111110110115113112109105111112105109106108109107105107109108108103 98 94 96 96 98 98 97 96 85 89100107108106 97105106 97105 99 98 95 96 99101101109100107104107103100 99 96 98 98 99 98 97 99 97 97 96 84 94 95100106 97 96107106100101101102101100104103107105 98106 95 97100101100 99 99 99 99 99 99 99 99 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135137138139139139141999999999999999999999999999999999999999102 97 99 99 99 98 98 97 98101103104105108110111114117119119120119119120121121121122122122122121121119118116116116115114113114114115115115114113114114114112112109111111109112112109110111109109110110110113109108112111111110107110110110110109109109108107107106106108108108108109109108108108109110110109108108109108108107107107107106106106106106106106107108109110111111111112112111110109107106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119120120118115115115113114113114116115114116115115115115115114114112113115113114115116116116116115116116114112115118118116114114115113118117113113116113112115113114115115115115117117118117114114114112114113113113115115115114116115115112115111111103100107100116114111112117117112116113112 98116110110110110114115104103104109103103 92 98108107105 93 96108107107 96 93 96 94 96 99 99100 96102106107104102103103 98 99104107 98 99 94 86105 90 99110101102108108107106103 98 99 98102104100101100 92 96 85 93 98 96 96 94100106104100 97101107 99104103103 99 94 95102 97 88 95 99 95103100 99 99 99 99 99 99 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157155151151999999999999999999999999999999999999101100 97 97102 97 97 98 99 99102102102104105108110114117118118119119120120121121122122122122122121120118117116115114115116114114114114114113113113114112111109112111112111109111112109110110110110110110110110109108111112108107109107109110108109109109108108106107109109109109107108108108107108109109109108107107108108107107106106106106105105103104105106107108109110110110111111111110110108106104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119121120118115117115114115115117117114117116116117116115115114114111112113113113115115115116115116117115119117118116117116115115115117117117117116115115112115113115116114114112114117117116115113112115112111114113113115113112116118116116120113109110108108107116116113109112112105112114116109114114109102109107117114111111110102101 98109102100103103 97105 98 98 98 90 90 93 88 95 95 92 86 93 98 97 94 99102104 97 98 90 86 94 97 95 84 89 94103100101100 95 94104107 97 96103 95 94 87 89 94 92 93 95 96 94 98 93 93 94 96 97 99 98 96102 98 99102104101104102102103100 91 96 95 91 98 98 99 99 99 99 99 99 99 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161157150150999999999999999999999999999999999999999102102 98101 97 94 98 96 97 99101102106105108110113115117117119120120121121121121120122122122121121118116115115114115115114115114114114115114113113113112112109111112110110109110111109110110110110110109111110110111111109108107107109109108108108108108107107109109110108107107108108107107108108109109108106107107107107106105105105104105105104104104106106107108108109110111111110109108108106103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121123122122122121999119120119116116114115116117117116117117116117118117115115115115112114116116115114115111114113113113113114118117117116115115115115117117118117115113114110112113113115116115114116116116118115115116117113112113111114117117117117113116114115110110109110104123122120116111112110106113114114115118119106103107116103108112113110103101 98106101101 99 91 98 99 99 99 98 93 95100 93 93 99 92 84 89 90 98101102102 92 83 83 89 86107106 86 88 91 91 96102 99101105107 99100 97 96 94 90 90 90 94 91 95 98 98 88 85 93 93 93100 94 95 97105101 99 98101101106101105105100109104105 99 90 90 96101 99 98 89 98 97 97 97 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145145999999145154156153149146144999999999999999999999999999999999999 99 99 98100 96 91 91 94 95 99102102104105107110113115116118119120119120120120121121122122122120120118117115115116116116116116116116117116115114112113114113109109111109109113112110109109109110111109107107108110110108108108106108107108108108108108107106108110109109108107107107108107107107107108109109108107106106106105105104104103104103102103104104105107107107109109111112112109109107103102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121123121123122122122122122121119119116117115115115117115117114114116118117116115116116113113114113116116116114113114113113113114115117116113114114115115116114116116117115113113114114114113115115114114115115115115114116117116117116115115115116117117116114115115109106109111109106122117109109112126114108109109109108111109106108103105108106110111 92 96 96107110102 94 97 90 95 97106100 86 84101102 86 98102105103 99 96 99 88 91 96 82 88 85 95104105 84 84 91 95 98 93 86 91 92 98101100 99 95 90 91 84 87 88 95 97 98 99 93 85 88 98 94 94100 93 94 95 96 96 99100 98 93 98104104103102100103101103 99 99 98100 93 99 93 92 97 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144144144154153153151146141139999999999999999999999999999999999999999105100100 97 89103 91 96 96100101104104105109111114117118119119119119120121122123122122121119118118117117117117117119117116116116116116114115113112113112110110112112111111110111108111111110108108110107110108108109109108108108107108107107107107106107109110109108109107107107106106107106108107107107107108107106105104104103104103103102103103104105105106106106107108110111112110108105102102999999999999999999999999999999999999999999999999999999999999999999999121117122999122122122122123124124123123123122123122120118116115115116117118117113116116118118118117117115116115113117116117115115113114113113112114116115116110115113113114118118115115116118117114114115113115111114111109114114114112114116115116116115116114116117115115114113116117111110109106107109110110109110109111112107110106107108110111110104101102102108106108109 92 95105 94 95 97 94 94 98 98 97 97 97 88 87 98 95 87 99 93999999999999999 91100 93 87 84 77 76 89 93 89 94 96 95 94 95105101100 95 94 96 94 97 97 96 91 89 85 91 92 97 94 91 84 89 95 90 84 97 89 94 93 99 92 97 92 96 97100107103 96 98103107104100 96 95100 99 88 93 92 91 89 90 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143143142141141140139139999999999999999999999999999999999999999999101102 96101102102 93 96 99 98101104105107110112116118118117117119121122122123122120119118118118118118118117117117116117116116116115115115112113113111110110110110109108110111108111111111110107107111108109109110110109108107107107107107106106107107108110110109108106105106106107106106107107107106105107107106105104103103103103103101102103104104105106106106106109109111111110108105103103107999999999999999999999999999999999999999999999999999999999999999999999999122121123123123122122123122121122122121122120121119116116115116117116113113115116117118117116117117117115114114115116115115115114114114115116116114114114113114117116114113118117116116115114114113114113113114109108112112115115115112110116116117120114113117116115115114114112111109111110109113114108106105109114111111112108108107108109107106102102102106107108106111104104 93 94102 95 99102103 97 93 93 88 94 97 99 95 87 85 94999999999999999 90 90 90 97 95 88101112111 92 92 93 95 93 94 95 98 85 91 97 95 96 96 94 87 86 86 82 85 88 93 84 80 86 83 88 87 92 96 92100101 94 89 89 96 97 91105 99 95 98104107105103101100 99 98 93 91 89 88 87 89 95112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141140139138137999999999999999999999999999999999999999999999106102 95 83 97 97 96100 97 99100103105106109112114116117117118120122122123122121118118117118119119119119118118118117117116116116116116116114113113111111113113110111111113112111109112112109109109109109109109111110110110109108108107107107107107107107108107107105105106106107107107106107106106106105107108107106105104104102102102101101102103105105106105105106108109110110109109107106105106999999999999999999999999999999999999999999999999999999999999999999999120122121123123122122122121120119120122121120120120121120117117117117115114117116115116117117117117117116117114114116116116115115113114114115116117114114113113114116113113113116116116117116114116114115113113114112110113112114115114115116117116115116115115117116112113113113113111109108109110109109107108107109110111113110110103103107110106102102102105109107105106107106107 99101 97 99 98 96103103105 96 91 91 99101 96 90 86 98 98 93 92 89 83 81 82100115113 99100115103 94 88 96 93 96 96 96 86 86 91 86 94 96 85 89 87 82 86 86 89 85 80 89 90 86 82 92 93 83 85 85 99 97 93 93 91 95 88 87 80100105103106107100 91 99 98 97 98 97 90 89 93 87 91 92108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143141140139138137999999999999999999999999999999999999999999999101 98 96 96101 99107101100101102104104106108111114115116116118120121122124123120118118119120120120121120119119119118117117115116116117116115114114112113112111110108111111112109112110113109111111110110109109109109110109109108107107107107106107107107107106105106106106106107107107107106107107106107108107107105104104104102101101102101102102104105106105105106106108111110110110108107107105999999999999999999999999999999999999999999999999999999999999999999999123123122122122122121119119118118119119120121120121121120119118117114113117117116116115115117118118117116115115115116117115115116116115117115116115115113113112113115115117116116115115115115116114115115115115115112115113110115116113115118118118118119116116118117114113113113112110111112113112110109106107107108108108107110102102109107108106103104105109109110105105105107108107101100 99 98 96104106 96 98 97 91 94 95 91 92 80101102 95 92 89 82 77 85 99103 96 98 95101105 76 83 98101102100 86 86100 89 90 91 89 91 84 85 82 82 83 80 76 85 86 88 89 86 94 86 88 90 89 96 98 96100 85 87 83 81 89 83104104104 98100105 96 98 97 95 92 90 89 89 86 89 89100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143141140139138136999999999999999999999999999999999999999999999100 95 93104 99109 96 99101101105105106106108111113114116116117119120122124123121119119120122123122122122119119118118117116115115115115115115116115113112111109108108109112112111112109110111111111110110109109109110109107106106107108108108107106107107107106106105108108106106106106104104105106106108107106105105105104103102101101101100100102101103105104104105106108110110110110110110108106104999999999999999999999999999999999999999999999999999999999999999999123122122122121119119117118119118118118119119122121121120118118117114114116116116114115115117117116116115114114117115117118116116116117116115116112110112114113114115117117114114114114115114114117116116117115119118115112112115117115116118119119119118117117118118111113113110112109112113112114114114110107107105107108109109108110109109108106104102107106103105103104105105104105107108106104 90 98103 99 97 92 92 95 97 83 97 97 92 78 76 78 84 81 86103100 93 94107 96 79 76 78 91 91102 93 94 95 95 92 91 92 91 91 90 86 86 87 81 83 82 78 81 85 89 93 89 91 92 90 87 88 96 95 90 88 77 87 90 87 89 90100 99104 93 97 90 98101 96 96 92 90 88 80 91 81 86 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145144142138138139136999999999999999999999999999999999999999999101101112101107107 92 95101102104103103104107108111113114116117118119121122123122120120120122121122122122121119118116118115115114114115115115114113114112111110108109110110110111112112110110111113113113113110110109108107107106105106108107108108108106106106107106106107107107106105104103103106104106106105105104105105104103102101101100100 99 99100103104105104103103105107109110111110110109106106106999999999999999999999999999999999999999999999999999999999999999122122122121120119119119119119119119119119118121120120119119117117117117116116117117117116114115116117114115115118117117116117116116115113113112113113112113114115116115112116115114115112113116116116116115116116118117113114114116116115116118120117119117117116115112113112110111108109110110110113112108110108107111106108107102102106107106106105104108105103104106104105 99107104108109107106 93100102 91107 97 96 96 92 86 92 88 81 89 91 92 87 89 89 93 91 91999 91100 88 90 91 92 93 94 91 97100 99 96 91 83 89 88 88 89 88 87 80 78 80 79 77 84 91 90 91 91 91 86 88 89 93 90 86 90 91 95 90 93 89 92 91 98 99 99 97 94103 90 91 95 85 91 85 86 81 79 83103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141143140139140999999999999999999999999999999999999999999 99107108109110107108110 98104104105102103105108109111113114116117119121123122123122121121121122121121122122119117115115114114113113114114113113112113113112112111110110112112109110110113111112111114114111110110110109108106106106105107107107107109110107106106106106104104107106107106107104106105104105103103103104104104105104104103103101 99 99 99101101102103103103104102104105108110110110108106105105999999999999999999999999999999999999999999999999999999999999999120123122121120119118119120119120121121119117119118120120118118119118118118118117116117116118118117114115116114117118118117118117117115113114113113112114114114113114114115115114115115114114115115116113111117113114118117116114116116113117117118115117118117116114115112111109107113112112112110108111108110108105107105106105100 99106107107110106103105103101103103104101100111100100102 97 99 99 98102105 99 94 98 98104 91 93 92 91 92100 96 90 92 84 94 99 79 84 85 93 84 84 92 93100 97 94 94 99 98 96 85 91 93 89 92 89 87 86 82 80 80 79 80 83 82 88 91 90 93 93 91 92 88 90 92 94 93 87 88 95 97 99100102102104 94 91 99 91 88 94 83 88 85 83 80 79 79 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141143144143999999999999999999999999999999999999999999 96101100105 97 95 97 96 99103104102103104106108109112113115116117119122123123124123121121121121121120121120118116115114114114113113113113111111112112112112111112111110111109110111111111111113111112111110110110109109107106105105106105106106108109108106106105104105105105105105106108107104106106106105103102103103103104104103104103102101 98 98 99101 99100101101102103102102103105107109109108106105105106999999999999999999999999999999999999999999999999999999999999124123122121120119118119119121121119120119121121120119119117118119118118118118118119117117119119116116115115116116118117118118116117117115113111113111113112113113113114114114114116114114114114114115113114117117115116110113109115116118116117118116118116115115113112113110112109112111111110110109109106108107108105105104105105100105109109104101104103101101 98 99102104111111106101 98104102102104 96104108109 99 98 93 92 90 97 92 90 93 90 90 89 86 87101 85 94 90 86 93 86 93100 93 94101100 97 98 96 91 96 93 90 91 88 89 84 85 80 84 82 79 78 82 84 84 85 87 87 87 86 82 87 89 91 93 89 87 90 93 95 99 99 99100 99 94 88 95 96 92 88 81 82 83 82 77 73 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141137999999999999999999999999999999999999999999 98103103100 95 98101101101102102101103105106108111112114115117118120121122123123123121121120121120119119118117115114114113113113113112112111111111111111111112112110111112111112111111111111111110110110109110111109108109108105105105104106106107106106106106105105105105105104104105106106104107106106106104105105104103104105105105104103101 97 98 99100 99 99100100101102101101101102104107108108107106104105999999999999999999999999999999999999999999999999999999121121123123121120119120120118118119119119118117117118118117118118119120121116119117116117116116117117117116115117116117117116117116116114115113111112112112108114115114112114114114114114114113112113114115115114113112114112110110114116116117118120118117114113115114112114112111111111111108109112112112109107108109106107105107105105105104104104104104103106101102108 98 99 97102111101103101104105105105104103109108104 98 91 98 89 96 95 96 94 94 92 88 93101 94 95 91100 96 93 99 99 99 95 95 96100102 98 94 92 98 92 90 90 83 84 85 86 85 87 85 81 78 78 79 82 82 81 83 83 85 83 87 86 84 91 87 86 90 89 92 95 97 94 98 98 92 90 91 92 93 85 79 79 79 75 66 69 77 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139138139999999999999999999999999999999999999999999999101 93 93102 97 97 97100101100 98101103106108110111112114116117118119121121122123122120120119118118117117116117115114114113113113113113111111111111111110111111111111111112112113113111111111111110109109108109110108109108105107104105105105106107106106106106106104104104104104105105106105105105105107107107106104104104104105106106105104102 99 98 98 98 99 99100100102101101100 99101103105106107107105103104999999999999999999999999999999999999999999999999999999122121121120120120120119118116117117117116118117118118118117118118121120118119118119116118116116118119118116116116117118118116114115116115115113115113115114114113113114113114112113113112114113112112114114114114114113114114113112115117113114116118117116112117116113113112114111113114109109111113107109112107109104107107105107104103104101102 96104104103101 97101108108103 98101111107 99101106 98 95101100106106104 98102 99100103 92101103101 96 97100 98 96 96 94 83 90 94 96 93 95 99 98 95 92 97103103 95 90 92 96 95 93 91 86 81 82 85 88 84 82 83 83 80 77 78 78 80 82 85 85 88 84 88 92 86 84 93 95 92 91 97 97106102 96 93 95 96 94 94 86 79 83101 87 81 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138138134999999999999999999999999999999999999999999103 96 96103 99 96 96 96 97 96 98102105107109111111113114115117118119120121122122120118118118117117116116116115115113113113113113113113112112110111111112111111111111111112113113113111112111110109109109107107108109108107107107107106107107106105106106105105105105105104104104105105105107106105104106106106106106105105103104105105104103102100 98 99 98 98 99101101100101100 98 98 98101102104105106106104103999999999999999999999999999999999999999999999999999122121122118118119120119119117116117116117116117116117119120119120121121120119119118117116117116116118116115116116117117118118117116115115116115115114115115115113114112111112112112112112112114114114113114113110114112114113113112115116114115116116119117117114114115113114113116115114115109110111111111111112109108104103104104103106104103100 91 94102103 97100100104106108109104106107108101105104 97 96107107102105103 97100101 96 98 95100102104 91 97105 98 95 96 93 94 99104 93 94 94 93 94 97 94 99102 93 97 95 91 98 93 91 90 86 82 85 87 90 87 86 87 89 86 83 85 81 85 89 90 88 89999 89 96 87 89 89 85 77 76 89 89 89 94 91 89 96 96 97 91 88 84999999 82 75 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137138139139137999999999999999999999999999999999999999999999101 99 97102102 99 96 95 97100103106108110112112113115116118119119118120120119118117116117116115115115114115114112113114113114113113112113111111113112111110110110111112112112111112112109109110110109107106107106106106106106106106106106106106107105105105105106105105104105105105105107107106105104105105106106105103104103103104104102102101100 99 99 98 97 99100100 99 99 99 98 97 98100102103104105103102999999999999999999999999999999999999999999999999123122122121121119120118119117114114117116115114117117118118117120119119119118120118119117117117117115114115116116116118117117116114115114113113116115113113113113112113112113115112112112112110112114114112113112111112114115113114113112111113115113117117118119117116116115113114114114115117117115119104103110111110109107103102 99105104100102104101101 99100 99101103104105106106108105105101102103106110110106101103105105100101 96 98102101103100 98 98102103 96 92 94 98 93 92 95101 99102 99 98 94 97 96 95101 94 98 97 95 92 89 90 89 84 84 88 89 88 87 85 83 82 84 80 90 87 91 93 90 90 88 85 84 83 81 84 84 81 75 82 90 89 83 99 94 90 90 89 90 80 81 87 78 75 75 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140137138139139138140999999999999999999999999999999999999999999999115103102103 98 97 96 98101103105106109111113114114116117119119119121119117117116116115115115114114114115115112113113113114114113112113113112112111111111111112112111112112111111110110109109109109108108107105105105105105106105104104106107106105105105106105105105104105105105106107106105105105106105105105104103104104103103103102103100 99 99 99 98 97 97 98 98 98 98 98 97 96 98100102103102104102101999999999999999999999999999999999999999999999119121122122121120118120118118117116115115115116115115116113114117117118120118117120119115114117116116114114116116115115115117117115115114114114115114115114115115115115113112113114114115114112114112112113112112109110114114112114111115114115113115116121118119117114113116114114114113115113117113113109108110111116114111107107105 97105104103102103100105100 96 97 99104102106106106105105104110107107114108107102104103107107106103100110 99103103102101100103102 96 99 98 97 96 97 99 97 98 95 96 98 99102101 97101 99 97 96 97 98 91 84 83 84 85 91 90 90 90 88 84 82 85 92 92 91 91 93 93 91 94 92 91 86 81 84 83 82 81 86 80 78 75 84 82 91 88 85 90 82 80 83 77 79 70 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141140138139140140141141999999999999999999999999999999999999999999110104 97 99 99100 96 96 98100102104105107110111112114116117118119119120119119119117116115115115115115115115114113112113113114113113112112112113114113112112113113111111111111111110109109110109108109109109108107108106105105104103103104104105104104104105106104104104104105106105106106105105105106105105105105102104105104103103103102101100 98 99 98 97 98 98 97 96 96 97 96 96 96 97 98101102102102102101999999999999999999999999999999999999999999121120121121120119120118117117118116114115115113113115113115115116114114116119119118118117116115115115114114116116115115114116117116116114116111113114115113108114114112113112112113113114115115113113113113114110111111111112114111113110118116115113114117115117117115113111114115117113113114114112111113114111108109113111107109110106105104106103101106103103 99 97 96 97102105102106106104105108109108108112106104103107104109108107101104107 82103104 99101 98100101 85 92 91 98 98 96 99 92 90100 97100 98101 98 97101 96 96 98 96 94 94 86 87 92 92 90 92 87 92 92 84 88 94 94 96 97 98 97 95 93 94 95 92 93 87 87 88 95 92 88 94 89 87 68 71 90 89 90 89 87 87 90 86 82 70 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143142141139139139139140142142999999999999999999999999999999999999999111105 96 95 94 96 97 95 98100102104105107108110112113115117117119120121121120120118115115115115116115114114112112112112114114112113113112113113115114113113112111111111110110110109108109110110109109109107107108109106106105105103103104104103103103104104106105106104104104106106107106106105105105105105106105102104104103103103102101 99100 99 99 98 97 98 98 97 97 96 95 95 96 95 96 97 98100100100103104999999999999999999999999999999999999117118121121121121120119117118116117117116114115116116113116115117117116114114116118118118117116114114115115115112117115116116115116115117117115113112112113114113112115114116113112112113113114112113114112113115114113114114113114115114114112117113114117116113114113116116114112115115116116112115115114114110113111113113110111109104107104107107100102100105102102 99 93 97 98103107110103103104107106104101105106106102105107106106101107102101101 95105 99103102 98 97 98 90102103 93 98 95 95 99 99100 98 96 95102103101101 92 94 94 96 95 96 95 90 88 89 91 92 89 90 94 85 84 97 95 97 99 97100 94 88 97 97 89 92 90 87 85 83 84 85 85 83 90 78100 97 83 91 96 95 93 96 77 74 75 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152143142141139138136136136138141143145999999999999999999999999999999999999999999 91 90 93 96 95 97 99101103104107107109111114115117118118120121120120119116115114116116116115113112112111111112112112111111112113113113114114113112111111111110110110110110110110110109111109109107107107108107106106105104103103103103101102104104103103105104103104104104106107106105105105104105106104104104103102102103102102100 99 99 99 98 98 98 98 96 97 96 94 96 97 97 96 97 97 99100100103104999999999999999999999999999999121121118119122118117119118118119117117116117115115112111117118120120118115114116116117117117117117117116116116112115115114115115116117117116116116115112114115115113114115113116116115114113109114114110109114114112115116113113112111111115111112113114114117114112116114114115112112114113114116115111113114113114111114114113111109109107105105105 99 95105100101 97 98 97 96 92 96 96100104105101103109109106107106 98104104102104106102105106107106102103105105102 98100 99103 98 97 95 88 91 92 95 97100101 99101 99 93 95102102100101101 93 92100 96 96 94 91 89 94 88 91 93 94100105108105106105102105101102103103102 94 97 91 87 87 92 90 90 85 97 98100100 93 85 90 96 89 94 73 76 80101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146145144143141139137136136137139142144999999999999999999999999999999999999999100 93 91100 95 95 96 98100102102105108109110113114117118119120120121120118116114115116116115115113111111110110110110110111110111113114114114113112111110110110110111112110110110111111111111110109108107107107107106107106104104104104102101105105103104103104104102102106105105105105106105105104106106105104102102103102102102101100 99100100100 99100 98 99 97 97 96 95 97 97 96 96 97 99100101102104999999999999999999999999999120121117116117119117117118116117117120116115116117117116113113117117117118118117117115115113115116117117116115115113112114116117115115116115117117116116114114112114114114114113114115115115115113113114113109113114111113115113112112112113114114114112111115117112112115116116115114112115114114116112112112110110112111112115113112109109110106 96 96 99 96 98100 99 97 97 94 94 92 95 97101104106103102106106107110109105100103101109106103103109106104 98 98108104106100102103110 99100 99 95 98 97 98101101102 96100100103 98100101 97102102100 96 98 99101 98 95 93 95 92 93 93 96 99108110108105111111113114113100 95100 96 98 96 95 92 95 96 93 86 87 88 83 87 84 84 83 81 78 77 75 80 77103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153147147147146146144141138135135135137141143145999999999999999999999999999999999999999 86 90100 98 95 97 96 98101102104106107109111114116118120120121121119118115114114114114114115115113112112111110111111111111111113114114114112112111110111112112112112113113113112112111110109108108106106106107106105106105105104104104104105106103102104103104103104105105105105105106103105105106106104103101102103103102101102101101101101101100100100100 97 97 97 97 96 96 95 94 95 96 98101101102102999999999999999999999120120117115116116118117117119116117117116114112114113113113111112114115114112113118118116116116115116117115113114115116116117118117115113115114113116115115115115114114113112114113114115115114115115113114112111113113113114116115112112113113114113113112111111115111114116116117112113112114114113115110113114114113113109109111114111113109109107 98105101 98100 98 98 93 94 96 99 98 98 98102102104106103104111108111110107106109105106102107107109108108108 98102103103104104100104100100 99 99101 97 94 96103 98 98101 99 99104100103 98101102100 97101 99 98 99 99 98100 99 89 97100 99101108107106111112113 92 93 91 94 88 88 90 90 95 93 98 99 97 96 96 95 91 90 89 84 78 79 77 81 80 78 79100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154148148147147146145142140137135134136139142145999999999999999999999999999999999999999999 94 98 96 96 96 95 97100101103104106108111114116118119119120120118116113112112112112112114115114113112112111111110110110112113114114114114113112112113114114114113113113113113112111110110109109108107107106106105105105105104105104104106105105104104102105104104105105106103103102103103104103104102101102103103103101101101102102102101101100100100 99 99 96 97 98 96 95 94 92 92 93 95 97 99103104104999999999999119119119117115114114113113111112112112111112112108108109110110109108109114109110109110113115116117116115115114114113116115115116117116117115114116114114114115114115116114115112113114113114114114114115116112113113112112112112114115114115112112113115117114113111111110112111118115114113112111113115114112113113114112112113112116115115112111110104102 96104109107100 95 96 95 93 95 97101100 97102103102103105104107105110108108106107107104109108109109106106107109109110105102105109106107107108103102101102103101100100100100102 96 97101102104101101 94101101104104102102 95 95 96 99 87100 91 92 95 94112113 97 95 93 95 98100102 99 97102 99101 96 94101 99 95 93 89 86 90 81 79 78 84 81 83 79104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153148148147146145143140138136135134136140142146148999999999999999999999999999999999999999 87 95 96 95 94 95 96 99100101101103105109112115118119118118119118115112110110110112112114114114114113112111111110110109111111112113114114114114114114115114114114114113113114113112112111110110109107107107106105105106106104105104103105103104105104104104106104105106105105104102102102102101101100 99101100100 99 96 95 96 96 97 97 98 98 98 99101101 99 97 96 97 97 95 94 92 92 93 93 95 99104105105106999117118118117115114112109109110110109109109110110109108106104104104103101106106108107109110109113114116116115115115114115116113116115115116117117116115114114114114115113115115115114114114114114113113116115115113114114112113111111111113113114113113113112115116112111112111111112112114116113115114113114116112114113113112111113113113118115114114113105104105103102105105 98 99 95 95 96 94 97 98 99103103105105107109105107107110111113111109108106105106106104104108111103108111106101107108106108108104108107105105101101103101100101103105 96 97 99102100102102101103102104105104102101101 99104101 98 97 98 91103106101110 96100101106109105 94 92 94103 98 97102103101 96 97 94 86 83 82 85 88 83 83 84 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149148147146145143140139137135133135137141143145999999999999999999999999999999999999999999 83 90 93 91 92 93 95 97 99100100101102106110112114115116117118117115112110110111111111112113114113112111110109109110111112112112113114115114115114115115115115115114114113113113111112110110108109107106105105104104105103104106105103104103102103104104103106104105106106105104103103101101101100 99 98 97 95 95 94 93 93 94 95 95 94 96 95 96 97 99101100 98 97 95 97 98 96 95 94 94 94 95 96101106106110117117117117113112111110108107109111111112111110108106104100100 99 98 97100 99101106108107111110112114115114115115116116115116112115116115117118116115113112113114115114114116116114114113116115114114114114115115114115115115113113112112113114115113115115117115111110110113108108111110114115114115113115117116111114113113113114112112113112113114114113106106105 99105100100104 94 97 95 98 97 95 98100104101106109107108109109110112113114113110106107105105105108108106111108110111109107107106107109108105108108101104104105102101101100 98 99 96104105102102102105104105101105106104103101100 98 98100100101103102105107106110 98 94 98100107100 99 96101101105 99102100102102101 99 98 96 95 95 92 92 74 85107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148148145144142140138136135134135138140142143999999999999999999999999999999999999999999999 95 90 89 89 90 92 95 97 98 99 99100 99103107109112114114115116115114112111111111111110111111112111110109109110111113113114114114114114115114114114116115115115114115114113113113111110109109108107106104104104102102102102104105104104104104102102102103104104104104105107105102102103102100101100101100 97 95 93 92 91 92 93 94 93 92 92 92 94 96 97100100 98 97 99999 97 95 95 96 94 95 93 95104108111115117115114111109109110110109111110110112108108106104102100 98 96 95 95 95 97100101106110105108110112115115114114114115116117116116115114115115117115115114113113114115114114115115111114113115115114114114114114114114113115116114111113113113113114112116115114112111111110114112112109112116116113108109114115116116112114111112114113111109110111112115107107108107105105 99104 98101104102102100 93102100106106108106108109108108109114114113114109107106105105105105109112107107112110106107107110110110109106107108107104107106109106103107107106105107108104103105107105106104107106104105105102 98 96 97101103106103105107107110107113112109110104102103104 96 92 98102100102100100102100100 97 95 97 96 94 95116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145146146144143140138136135134136139140141142142999999999999999999999999999999999999999999999999 88 88 88 89 91 95 96 97 98 99 99 98102107109111112112113113113112111111111112111110109109109108107109110111113114114115115115115115115114114114114114114114114113113112112112112110109108106105105103101 99 99100100101102102102103102101101101102104103104104105105105104102101102100100100100100 98 97 94 92 91 91 91 91 91 92 92 92 91 92 95 96 98 98 96 96 98 98 96 96 95 95 96 96999999999109109112113113110108106107108110111111109109108105104103101101 99 97 95 94 94 97 98100105108108105107111114114115115115116117117116116115115115115115116117116115115114114113115114114114113115114114113114114114114114116116113113113115113113113114114113115113114113112111111111112111113112114116116113112113116116115113111113112113113110112112111113117117114112106105104101102102101 97103102103 91 92104106106107109107108108109108109114111112114112108107107105108107111113109109107109114110109107109113110107108106108108106109109102105108109109102105108103106107106106106108108108107107110109101101100107108108106108112112111114112113110113110113114107103102105100103 99101100102101 97 94 96 97100 93 90115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145145144143142139138137135136139141142142143143999999999999999999999999999999999999999999999999 87 91 88 89 91 95 97 97 98 98 98 99102105107109109110111111110110111111111111111109108107107107107108111112113114114115115115115115114113113113113114114113113112112112111111111110108107106105104103101100101101101101101101103101102101100102102104102103103104105105103101100 99100 99 98 98 98 97 95 92 91 91 91 90 91 92 93 93 93 94 91 94 96 97 96 93 93 95 98 98 96 96999999103110999115113111109108106105106106107109110111111108107107105105104103100 97 96 95 97 98101101102107108106109111112113115115117117116118118117117117117118117116114116116113115115113113112113113114114113113114115115114115115115117116118116115115115112112114115115112113113114113111113114113115116116117117118113113117115115114112112114112115112112116113111113115115117111110110107106105107104103105103 98 95100102104107107106106110108110109111111110112112109108107108108108110112111109113106112109109109110108111108112111107110111107111112104108109110111107105109107113110110110109112110109105110107109110110109109109107109108111112113113111113112113113109114111105101106 98103103103104104102105 98 96100 99102101118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145144143143143141140140139137138140142143143143139999999999999999999999999999999999999999999999999 96 97 91 90 91 93 96 97 97 98 98 98100102104105105105106107108108110110110110110108107106105106107108111111112113114115115115115114114114112113111111111111112111111111112111111109108107107106105105105104103103103103102103101102102102100103102103104102102102102103101100 98 98 98 96 95 94 94 95 93 92 92 91 90 90 91 93 94 93 94 93 93 94 97 95 95 93 91 94 98 97 98999999999105113114114112111106105106106107109111111112111110109111111108107105102100 98 98 98 99 99102104105105106108112113113113117116117118116119118118118118118118117117118117116114113113112112115113111113114113114115114116114115116116116116118115115115115112115115117117114114115111112114113113113114115116118118118114116117114114115113111110111112115110111112111113114115116111111112111112109107102105104105102101101106106108106108111113111113115116112112112110109111110109108113111113110111114109110113111113111110109108114112112113111108108109110108105111108111108108109109113113110109111113113112112111112108110112112109104110109111110111109111114114114111111112108111110109107103102108107105102102101 96104102100104120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142142142143143142142140140140142143144145143143999999999999999999999999999999999999999999999999 98 94 92 90 90 91 94 95 96 97 97 98 98 99100100101102103105106108108109109109108107106105105105106107108110111112113114114114114113114113112110109109109109109110110111111111110109109108106107106107105107105105104104103104103100100102101102101102 99101100 99100100101100 99 97 97 95 94 92 92 93 93 93 92 92 90 90 91 92 92 94 93 94 94 95 97 96 96 97 96 98 96 97102999999115114110114113111109105107106107110111112112112111111113115114112110106104103102101102103104106106106108111110116117118113115117117119119119119118117117117118117117116116116115114113113114113112114114115114114114116116116116117117117116115115115115115115115115116118117114115115112112116113113113113114117120119117117113117115114116114112112115114115114111111115115115112112112113111112111106108108107106106102103108109109109108108110112113115113114112111113110109107111112116113114112112110110111112112112112111113111114108111114114113114114113111111115109111111112110112115113107105107112117115113115114109113110111107110109106105109111111109115114116116115116115113112112109108108111110110107106106103104107103 96121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143144142143144143142140140141142143144145145146139999999999999999999999999999999999999999999999999 96 93 89 88 89 92 94 96 96 96 96 97 98 98 98 98 99103102103106106108108106106105105104103104105105106107108110111113113114114113112111111110108108108108107108109110111111110109109109108108108109107107107106106105102101100100 99100100101 98 99 99100100100 99 99100 99 99 98 96 95 92 89 92 92 91 92 92 91 90 89 91 91 91 94 94 94 93 94 96 96 98 99 99 99 98999999999999116116113112109109109108107108110110112113113113111111113116115113111110106105105106104106105108110111116118117117118117117117117117118116117119119118118119118117116116116116114112113114113113114115114114112114114115115116114117117117116116115115117117116116115114115116117117115119119118115117116117115118118118120119119118118115115114113114116114116115115112117116112112113111117115112111110111116110107109107106106106108110111115111112114111112112114110112107109105120113114114113112110111114114114114116112114115112112112113114113113113113115116113113113109111112117116116113109118117114109112112113113112108108108108108111109108110110112114115115116115115116114113112113113113106110111111110108 99103100102106 97129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143144142142143142142141140141141143144145147147138999999999999999999999999999999999999999999999999 96 90 89 89 87 89 93 95 95 95 94 95 96 96 97 97 98100101103103105106106105104103103103102103104104105106108110111112112113114113113112110110109108107108107107109109111111111110109109109109109107108108106106104102 98 97 98 98100 98100 99101 98 98 97 99100100101100 98 97 96 97 93 92 90 93 90 91 92 92 90 90 88 89 89 89 92 94 94 93 94 94 95 97999999999999999999999114115114112109108108108108109110112114116116114114114113113114114114113113110108107107107105108109115115115115118117117116117117117119115116118118117116119119118116114116115113113112112113116115115114113113112114113113116111116118118117118118115115116118116115115116116116116115114120114120117117116116112111116118118119119117118117115115117116115113113117119110113115113111113116115112114111112117120114111113112108107109108107105111111108112113115115112112113110117119121112110115115111111113113116114117114117116107109112114112111115111112113115116113117116115115116116115121115114111111112115116113115112113110111111110112108112106110113106106110113115115116115117117115116113111113106111112113108111100 97110109111123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141141141142142143143142141141142142144147149149142999999999999999999999999999999999999999999999999999 88 87 88 89 90 92 94 95 95 94 94 94 94 95 96 97 98100101101103103103103103102101100101102103104106108109111111112112113114114114115114112111109108108108108109110111111111111110109110109110109110110108106103101 98 98 98 98101101102101100100 97 99100100 98 99 99 96 95 96 96 94 93 92 93 93 93 93 91 90 89 90 88 86 87 88 92 93 94 94 95 96 97 97999999999111113113114114113111109109107108110112112114114116115113113113111110111112112114113113112108110110108111113117116116119119119119119120118118118115117117118117117117118115115115116114114113112113115115115114113112113114114112116114114116116118118117118116115115116116116115116117117117117115119114121119119119115116121119119120120119116118116116115115116117114116116118118117117113111113113116117115111113113111111112110111111108108110109108106109110113113113113112112115110115118120114110114116111113113113115115117116113108109108109113116113114112116116114116113117116118116120117116119120114113115109110114116111115113115113113113111113110111113116110109113114113116115115115113113117114113115115114112113115111108106108111112132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143141141142143144143142142141142146149150149149999999999999999999999999999999999999999999999999999 96 85 87 89 91 92 94 95 94 94 93 93 93 93 94 95 97 97 98 97 99100100101100100100100102104106108110110110111112112112113114115115115115115114112112111109109110110111111111111110110109108109108110110109107105103101102101101101104102102100100 97 98 97 98 96 95 93 93 94 95 93 92 91 92 92 91 93 94 93 92 91 90 89 88 87 87 90 91 93 94 95 97100105999110111112113113114112112111105105106108112115115113113115113112112110110111110111111113113114114114114111114112117117118119121120119119119121120120120120118118117117117116116113115114114113113114114114114113113114115112114112112112113115116116117118119117118117117118116115116114114115118117117116115117121122120121116114119121120121117117117116117116117116115115115115117117120118116116118112116114113111114114115115113113109108110108109110110105112109110112111114114115113112112115118120117116117115112115117116114114114115113114113110110115114116117117114115113113117119116119112113115117118120122119118114116118120115117117113114114114115111110112113118115114115110114116114116117116117112113112113114115115113113111110110110112112110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146145143142141142144143143142141143147150151150145999999999999999999999999999999999999999999999999999999 84 85 88 90 92 93 94 94 93 92 91 91 92 92 93 94 95 94 94 96 97 98 98 98 99100102105108109111111111110111112112112113114115115116116115115114113113111111112111110110110111111107110109109109110109110108105105103103102101105106103103101101 98 98 96 95 94 94 93 93 92 92 89 89 89 91 91 91 94 92 92 92 91 87 87 88 89 89 89 84 87 89 92 93 99105106105109114114114114114109114109108111113115117117115113111112112113111109109109109110112114115115115116115115116115117118118118119119119120118118121122121120120119116117115118115114115113114114114114113114113112113112112113113113112114115115114118118119119118116117117113117114116115117121121119120116120123122120122117117118121121120116116116115116116116115114116115114116117118117115117118118115118115110112113113115115113113111112110109109114112112113113112113115115113112114119120121119117119116115117118118118115117115114115116115113115115117117114116114114116115118119115119110117119117119118118122118117116115116120119120117118118118120119108110111113118116114112113114113113114116116118117115119117114115114114109106113111109109123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152147147146144142143144142142142143145148150151151150999999999999999999999999999999999999999999999999999999999 85 89 89 91 93 94 94 93 92 91 91 91 91 92 92 93 92 92 92 94 96 97 99100102108111111111111112112113112113113114113113114115115115114114113112111111111111111111110112112110110111110109109110111110108108106106105104102102105103103100101100100 99 97 96 96 94 94 93 93 91 91 91 93 91 90 92 91 93 91 92 87 84 85 87 88 86 84 82 80 82 90 94 99104107109111110111110111109105106105106112114116116113111111112111112110107108108107106109113115116116117117118117117116117118121120119118118117119118120120118120119119116113118117115116116118115114113114114114114112114112114112113115114114115114115116117121120116117118119114114121120120121124118118123123124121119121117119120120120119120118116122115117116116115116116114119119119121116117114118117116115115111114116115114113113112113113110111112111112113112112114116116115115114123123115118118117118118119118117118117117115117115116114115121114119118121116114112117119119117116120116118121119122124119118118118121120119123121116113112113115119120117112114113118114116116117115114113114118113118116115119113117115116113109113113109113113124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147149149147145145143142142142145147149151152152151999999999999999999999999999999999999999999999999999999999 84 88 92 91 93 94 94 94 92 91 91 91 90 91 91 92 92 92 91 93 95 98100103107111112110111112114115114114114113113112112112113112112112111110110110110110110110111111110111109110110109109107109109109107107106105106106105104103102101101102101103101101 98 99 97 98 95 94 91 94 94 94 92 93 92 92 91 92 91 88 84 81 79999 82 83 82 80 79 83 93 93100103106107108111111109108108106106107108112112112112111111112112111107106107108107108110111114116116118118120120119117118118117116116118118116117118117117117117118115115114115114116116115117115114112113116115115114113114115115113113114116117115116114115118119116118117120123121121119121122123119123122126126125121119119120118119120120121118119120120117113117115117116115116116121121117118117118118118120120115113116114116114114113119115112113112113110110112115117117119116115115117122115113113118118118119116112114122114115117118118115111119116117118121113113113115118118120121114114121120120119121116116114119118122122124118117118115117115117117117115118116119117112112113111114114114114112113112114118117116116116117113111112108109112117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150149148145144143142142144147149151152152152152999999999999999999999999999999999999999999999999999999999999 88 93 93 95 95 95 95 93 92 91 91 91 91 91 91 91 92 93 94 97 99102107112112111110112113115115115114113114113113111111111110110109109109109109109109109110109109108108109110109107107106107107107107105107107106105105103104103104103102100102103101102102 99 98 97 97 96 95 97 96 94 95 95 94 94 93 92 91 88 83 78 78 84 84 76 73 76 84 95 96 98 98102103105105107107107107107108108109109108112112111112111112112109106104107107108110111114115116117117118118118118117116115116116119118116117117117116116118117115117116116117115117117117115115113116115116115113114115113113114115115113114114115113114118117116117115116123123115117120123124121122122126127124120116118119118119119120120120120118118114116117116115117115115116117122120119114115117118119119118116117118117116115116115114111114115115113112113116118118120120119119119122118122118119119119117109116116118117113118116116115116116117118120118116117116123123117119115116117120118118119121119120115120117122120121114122120122119119118118118119119119123117113111109113113113114116118113113111113116115115117116114114115113111108117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150150148146144143142145146148150151151152152145999999999999999999999999999999999999999999999999999999999999 87 93 92 95 98 96 96 94 93 92 92 92 91 92 91 92 94 95 97 99102105111113112111111114114115114114113114113113113112111110109108107107107107107106107106107108107107108107107107105106106106106106106105104105105104102103103103103104103103104104101103100102102100100100 99100 99 98 96 95 94 92 89 91 88 87 84 75 75 80 77 73999 76 84 94 96 98 97 98100100104106107107106108109109109109109112112112113114113113111110108107106107110112115116116117116116115116116116115115115114115116117117117117117117117116115117116116117116117117118116115113115115115116116115115116115115113115114113114117117116117117117114116117118121124120120121123125122123122123121120118118116116117117118119118119118118117117114120116116116115117116118118121114117119119119118118119117118115117117117117115114116116115115112114117117119121120117118119120121119119117117116111113115115119116120121120116120116119120123124121121120123124123117114118116121121117116117120117115119121121119120119121121115119117118120117117117117118118116105108109108116118116117118116114116115119117116111108106115117116108109120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149151152151149146144145148149150151151150151150999999999999999999999999999999999999999999999999999999999999999 90 90 91 93 96 97 97 98 94 93 93 93 93 93 93 95 96100102103106108114114113113113112115116115114113113112112111111110109109108108107106105106106105105106105105104107104104103104104105106108108107105103105102104105105103102105105102103103104103103103103102101101101100100 99 98 97 94 91 88 85 85 87 87 83 77 75 75 73999 78 81 91 94 95 93 93 94 96 98102104105105106105107107108110108112112113112112113112112113111110109110111113115113117117115116115115116116114114114114116117117119118117116117117114113116115116116114116115115113115116114114114114115116114112115113113116115112114115116116116117115115114114118123125118126121121123120119120120120121117117118118118118120120120119117117118122123118115114115115117117115118118117118117117118117118118119121115118115113116115115115115116116110115116118122121118115115121122118118117116117119117121116118122121118120119116119119119124121125123120125125125122122122123123121117116118117120118118119119120119121124118120122120120116119115115118116113118119114116118115116116115118115113120119118115113113112110111115114113109108118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151152153151152151149148147149151152152152151149147999999999999999999999999999999999999999999999999999999999999999999 89 90 94 94 97 97 97 98 94 94 95 95 95 96 97100102105107109112114114113113113112115115115114114112112111111110109109109108107107106105104104104104104106106104104101100102103103103104105105106105102102103103103102104105106104102102103103101103102103101101102 99101101100 99 98 97 95 90 85 86 87 87 81 78 83 78 87999 75 86 95 95 95 96 93 95 99101103103104105103104104106105105108113113113113113114112110111113114114114113113116117118117116116117115114115114114114113117116116117117116116117117116114115115115115116113113113114114114114113115114115114115114113115114115113114112116115117117118120121120119119119119119115117123116116121122121118119117118120119118119120120120119119116118119119119118117116117119118116118118118119116122117116117118120118122119115114115113115115117116116114114115115116121117115118120123122118119117119118118117120121120121120121122122119121120121124124122120122123124122122119121124122121121120123120120121120120121124123124122124123124123124120120118120123117116119119115116116116117118118114112110118112111108108106117115117113116109112122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155154156154153151152151149149151152153152152150146144999999999999999999999999999999999139139138136135133132129999999999 89 90 93 93 96 97 97 99 96 95 96 96 98101102102104107109112113113113113113113113114116115115114113112112112110110110109107107107106106105105105103103104105103101 99 98 99102102101102102105105104102102101103100101103101103103103103102103101102101101 99100 99 98 99 99 99 98 99 97 94 90 89 85 84 81 79 74 77 79 79 79 82 89 95 94 98101 98 99103104103105105105104105104105104106110113113113111112112112110109112113116116114113115117117120116115115114115116116116116117116117117118117118116116118115115115114115116114113112113111112115115113114114114115114115115115114114114117116120120119117119118119123118117116118121122118121121120122122117116117120119119119118117119118119118118118117118121119116117117118118117116118117118119118118117116118120118117120118115117118118117118118119117115116115114117123118116119121124121124121121116116121121122121121120119119120119119122124121124125124123123124121124123122121123122123118124124122125122122124118125127126124124124123123120121122120120116120113121116116120118117116118118121120113117114110113113114114118116114115109110119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154153154155154153152151151153153153153151148144140999999999999999999999999999138139139139139139137136135133128124999999 90 90 92 95 97 97 99 98 96 96 97101105105105107110111112111112113114115113113114114115115115113112112111110110109108107108108107107106106105103103103103101 99 97 96 98100100 99100101101102102 98100100100100101102100102102103102101101100 99 98100 94 98 97 98 98 94 95 93 90 88 87 91 86 79 76 75 74 73 74999 79 84 86 89 93 94100102103104106106106105106104105105105105105106107107113113112112112112110110112113114114112111114114116119117115114115114115116116118117118117119118117117119117116117114114114114114115114113112113110115114112113114112114114114114113114113115114116116117119118119119119121123118116118119118122121122124126124119118120120119116119117117120117116116118118118118117116117118119119119117118119118117118117119119118121122115116118119120119118118118117118119118117117115118119121126123123119122122121120119120119120124122122121120119120122121122123122123122124123121123124123123122127123121123123122121123120123119120118116123123123118126127123126121121122121122120120116118116115118119117120121120121123122115117115116121121120119120122119115117126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154153155156156156155154153153154153153152149146141146999999999999999999999999138136138139140140140139137135133129126124109 89 90 91 93 96 97 98 98 98 97 99104107107108110111110111111111113114114113112113114115115115114113112111111109108108107108109109109108107106107104105103101 99 97 97 97 97 96 97 98 99 99102 99 99 98 98100102102102103102101101101100100 99 98 96 96 93 94 96 96 94 93 89 90 82 84 85 89 86 77 75 72 79 77 79 84 84 88 92 95 96101100104106106107106107107107105105107106105105105105109112112111111111111110111113114114114115114114116116115119115115114113115114116117116118117116117118118118116119118116115116115114114115114112115115113112114113113113115114113114113115117114115114116116115119117119119121120121122118119118120123123122123122119119120118118117117118117116117116119119121120120117118117117119119119119117118117118117119119119119117120117116118120120117117118118119118118117117117118121124125126126124121119121119120121123122124124123122120121120122124124122124122122126126123121124123124122123123126123120123120122118122123122121121124123126122121118127126126125125121123124118121125122118115120119121121118118121125116118116116116116123123119121123122117118128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156157157157156156154154154154154153151147146142999999999999999999999999999999135138139140140140139137134133131129127122116 91 91 92 94 96 98100 99 98101105106108110111111112111111112112113113112112111113114115117115113112112111110110109108108109109109109109109108108107105105104101100 99 98 98 98 99 99 99101100 99102 99 99101102102101101100100 99 99100 99 97 95 94 94 95 94 92 89 87 89 87 85 83 90 85 88 76 79 76 78 78 84 88 88 96 97 98100100103106108108109107108107107108106108107106106105110109113113112111112112112113113113112113114114114116116116119117116116116114114115116117118117116116118119117114116118115117115115115115114114113116117113112115114114114115115114113114113114115116112115116117118117117118119121118119121121121118118121124121122123119119118115117119117119118119117117119117118119121117119118119119118116117117116119119119119122123123116118117118120116118118118119118121122121119120124124126126128126121120121119119121120120121122124124125123122122122125125124127124125124125124126125122125123125124125123122122118121119124124125121121124124125122116123129124127126129125121120117121125127122121123122125120118121125125121123119117117119121122119123124121118119129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155157158157155155155155155155154154153150145140999999999999999999999999999999135135137138139139139139137134132131130127119114111999 91 93 95 97 98100 99102104106109111113113113113112112113114113115112112112113115116115114113112112112112111110108108108110109110109109108108107106107106104102101100 98100 99 99101101100101101 99101100102103101 97 97 96 95 97 97 96 96 93 94 94 91 89 86 83 83 83 82 79 70 68 76 69 70999 71 80 87 90 94 95 94 96 96101105109111111109107111110108108107107107109111109114116114113111111114113113113113113113113113114115114115118119118116116115112114116115116116116115115116116116116115115116117115115116117114115115116117115114114115116115115115115115114114113115116117116117118118117118120121119120119122119124120119121123123122122119118121119120120119120120121119117118118119118115119117117117118117118116116115117118119119121124124121121118118120121119118120121120120125123123123122124125125126125122120123122121118120119120122123124125122123121124125125125126129127127127129127126125123125124127126125127122121123122124125120122124124122125123123123127121125120124124120121119121123124123123123122123122123119122126120118122120124120119120119121123124116116133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154156157157155154154155155155154155155154151145137999999999999999999999999999999136136137138138138137137136134132130128126119113110105 91 92 94 97 97 98101101104105107109111111112113112113113115114114113113113113115116116115113112113113113113113110109108109108108108107107109108108107106105105103103100100101101100100 99100100 99 99104102104102 98 99 95 94 96 96 94 94 95 96 93 93 89 85 85 79 77 74 73 68 64 69 74 76 75 79 85 85 91 89 87 87 92 96102108108112112109108108109109109107109109111114113113114112111112113114113114114114113114116113113112113113114118119118117114113113114116115115114114114116115115114115112112111117116115115112115115117117116118116112113115116117115116116114114114117117117118119119118119120121122122120121116124122122119121122116118120119119117117117118119120120119117119120118118118119118118117118119118117121119119118117120118118120118120122122119119119119118121123122126126122123122124125126126124121121123123121121123123122124124125124123121121123125125126124126126128128128127126125127126125125125126123122124122118124119122123124122123124124124125123123126123125123122123124124124121123126125126126122119121123115121126120129127130131123123122121126124115130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153156158156154152152153154155155155155154150147139999999999999999999999999999133136136136136136136135133133133130129127125119114106101 90 92 93 96 96 97 98100103105106108110112114115115116117116115114114113113114115117117115114112113113114114114113112111110110110109109109109110111110108106107105105102102103101100101 98 99 98 99100105107106103100 98 95 97 98 98 97 95 95 93 93 93 88 85 87 78 73 68 68 67 66 67 77 82 81 87 87 84 84 82 82 81 87 96104107111111112112110109110111109109110109113114112112111111112113114114115115113113114112114115113112112112113113117118117114114113113114115113114114114114114115116115112112115116115114115114115115115115116116119116115114113116115115113115114115118118116117118117118119120119123124117117120117117120118118119120120120121119120121118119120121122119118119122121118120122119121120119117117118118119119120121122120119117118118120119119120123120119121127129129129123123124124128127128124120124124121122123125124122124124127124124123123126126125125126125125125127127123126122124126124121129125122122122121118117123123123125121125126124128127120123126123126125125123123121120126129129129128127123121122121122128124123128121129126127127121121123124123128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153158159156153151150153154154155154154152149144139139999999999999999999999999135136135135134133133132129128129129127126124121114107 98 89 89 92 95 96 97 98100102104107110113114116117117118118118117115116113113114116116116114113112111110111112113114114113113113111112111111111111109108108107107106105105104103102100 99 98 97 96 98100103108107105100 97 98 97 98 97 95 95 95 95 95 94 92 89 85 77 70 67 66 65 63 64 67 73 77 78 77 76 75 76 76 78 89 97102108111112110111112112110112112109111111113113113113111113114114115115114116114113114113114114112111112112112112113117117114115114112113114114112113114114115115116115112114118115116112118114113115116115115116115116114115113113115114115118116114115117117116117119120120120121122123118122122121120120118118119120118118118117122122122122120121121120120119120122120122119117119119118118117116118117118121122121121120121120121117118121124124122125124127128128128125126127129127125126126123124124123124126124124122124125125125125126124126125125126125123125126123122125126127123123123124124124123123123120119119120120123123124126124126129128128125127129128125124127127124131131127134127127123123120123123120122123125118123121122126129126122122122118132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155160159156153150149151153153154154153151146144139138138999999999999999999131134135133133132131129129127126125126125124123119114109100 96 93 93 94 96 97 98101102105108112113114116116117118118120118117114115115114116116114114114113112110110111111112113113113114114113113112109107107108106108107110108108107105103101 99 99100 98 99103104109109106105102100103100 99 97 98 97 97 98 96 95 92 86 75 69 69 68 65 64 65 71 75 75 75 74 72 77 73 74 77 88 97105108112111112111113113113112113113114116115115113113112112113114113113114114113114113113114114114113110111114111113117116116115114113113113113114115114113113115114115113116112113112110113112112115113114115115116116115116116114114115117117115116114117118119121119119120121122124124118122123123122117117120119119116116118119121122122122121120121120119121120120121120118121122117119118116118117118119121120121120119118120122119122122119121118123128128129132128128130129131125127126127124125125124124126126127125125124125125126126125125127127126126122126128125125124127122122125125124123123123125122120120121119125124122124124127126124124128125129130130128129126124124127126130129128124125123123126123119127124129128124130123131123125124123121125127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160161160157154152150150150151152153153152150147144138141141999999999999999999133134133131131130128127125124124124123122122119115111108103 98 95 94 94 96 98 99102104106111113113114115116117118119119118117115113114117117117116115115114114113111110112113114113113114114113113112110108108108108109108110110110110106105104101102103101103107107111108107106104105104102 99100 99 99101 99 99 96 93 83 78 72 71 70 64 68 70 72 73 74 74 74 72 74 75 79 78 91 99109109112111113113112112113114114113115114113116116113114112111113113113114113114114114113114113113113112111111112113113116115115115115113112112114115114114114114115115115115111115114115116114112113113116113114113116120117117113117120120117115120117119120121119120120122123122124123123122121120121118120121118118117117121119122119122121122121122121121121120121121120119121121118120120118118118119117120119117121118123123122122122125119119120121130127126129129129127128128128129126127127127125124121124123127126125127127127125124125126126126126127126126126124123121123124123125125124126124122123121122122122119120126126126127129122124125125124125125128126129124125128128127131127122123122124125128123122126128131125125128127124124124132131123121128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167164163162159155152150149149149151151151151151149147144141145144142999999999999136135134132131131129127125124122122121122120119116111109107105102 97 96 96 99 99100102105107111113115115117117117119119118117116114113114117117117117117116115114112110111112112112111112112112112113113110110110111109110109110109110109112110106108107105107108111110111108107103105105104104104104104103101 98 96 95 91 81 81 71 76 71 72 70 72 72 72 72 75 74 73 73 78 83 91 97104110112112114113112112112111112112114115113114113113112111111111112113114114114114114114114114114114114113113112116115116116115114115115114113113114114115115115114114116115112112114116113116115114113114117112114116118118117117117116119118117117120117120115120120123122122125123124123124123124120118118119116117119119119121119120122120120121120122124121120120121120120120120120119121121122122119120116118119121119119125120119122124123124122124126127126124127124126126126128129129129127125125126125122123123127126123126128125124125125125126127124129126125124123123125125125125125125123125124124121119123124119119120125124122125127122124123124125125125125132130124126125123125134124122123122126124130128124122127123118123122122126135125126128127123133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170167166163163161158155151150147147146148148149150149148146145144147147144999999999999135136134131130130128125123121121121120119117115112111110109105104102101101103103102103105109113114116117117117118118118115115114113112114117117117118118117116113112115115115114111109108109109109110110109109109109110110109109110108107107107107108109109110110111109109107107103102 99 98102102103102 97 93 93 93 92 86 80 76 73 79 76 77 77 74 72 74 75 73 72 73 77 84 91 97104109112113113114112112111111111111111114113113112112110112112111113113112113114114114114114114114116116113112112115116114115115114115113113114114113114114116115115114115115115113112112114115115121114113116118118117116116119117119118117120117117120119119118117119120123124123125124126122125123121122120119118117117115119120120119121119120121122120120123123121120120120123123121120121123123123123119118120119118118123121124124123125119120123125129126126127127127126126125126128131132130128126127128128125127128127123124127128125125125124125127126124128128127125124126127126125125124126124123125124122126124127123123123125126128125127120129127124125124129131129128127123125126124122121124125122126125126126124129124126126123122130129129125132133132134129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168165165164162159156154152150148146145144145148149146145143141142146148145999999999999137136134131128127126124122121120120119117115113112112113114109107108108108109108106105106110113116116117117117118119117114113112110111114117117117119119120120117116117118117115111108106106105107107108108109110109110109109108107106105106105105103107106106107104105106102100 95 89 88 86 87 96100 91 83 80 75 78 85 86 77 74 80 83 81 81 77 76 74 74 74 75 74 78 83 89 95 99107111111111112113112112111109111112112112111111111109109111112114111113113111113113114113113114115117114114113112112114115117114113112112113114113113113115115116115114114114113113114113114112114117111114117120117114120118115119120119120120118118120119120122119118123121121126126127124123123125122121120120120117119117120121121119121121120120122122122123125122123121120119123124123123123123122119118119120120119121122123124125123123124121121122125126127130128129126126125127131128133129128125129130129128129128129126125129130127127125127126127127126125126130128125126127126125126125124128128126125128126126124122124125126127125127124128122126125126130132131130129125124127127126124125127126122127124126127128127124124124121125133130126137132133118124130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170168166165164164162159156154153151149149151154155155152148146142142144148149146999999999999137137133132130129127126126125122120118117115116116115116115113112113112112112111111108108111113117117118118119119118116113113113113116117117118119120120120120121121119119116114111108105104107109109110111110107106105105105 98 97 97100102105105104103103105104103101103 97 94 87 84 82 82 82 89 95 94 87 78 72 73 77 71 76 78 84 84 82 81 77 76 76 77 81 82 85 87 94 99 99105108111109111112112111110112109109109110110110108108108109110111112112113113112113113113114114115116117114113112112112112115115114115113113114114113114115116116115114114114114115115114115113116114115114116117119119116119118120121120120120122119120120117120120118118126124123120124125124123123122123120120121121120119118121123122120122122121122121123121122124123122122121123123123124122122123123122121121120121120120120123126126125123121121118121123124127129129128128128127129129128133130129126130130130128129127128126125125130127126126127127128128128126128130129128127127127128129125126130128127128129125124127129129127128126125125127125131129129129128129132129130129127127131132131128127126126125129128127125124121122127128126129135133132131130120129132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172171172170166165164163163160158156155153151154159162162161159155149145145148151150999999999999999137135134132132131129129129127124121118117117119120120120120120119119118117116114114112109112113116118119120120120119116114116118118119119119119119120120121123122120118115111106105105106108110111112110108107107104105105104102101100100 97100102101101102102103101100100 96 88 82 80 80 81 83 88 91 90 84 76 70 67 66 74 76 84 84 86 85 81 80 78 80 80 85 90 94 97101104106108111111110113111111110109111110110109110110109108108107108109110110113113114113112112113114115115115116114113113113115112115115114114114114115115115116116114115114116114113113115114116114113116115114115117116118119118119120122119120119119122119121117119121121120121124124120123123124124126125124123122122122123121121120123123121121122121121123124123121124122123120121122122123120123121121122119122121121120120119120121123126123122124123120121124124126128129130130127127128132129129132128130128130131131129130129129129126126129129128128128129130129129128130131130128128128128128128126128129129127129127124123125129126128127124128125127125131131129128126127129136134129128128133135134128128127128128128132128130129129132127127126133129124131131133126128136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171170170169168166163162162160158156156155157162164165165165162159155150149150152148999999999999999137135132131131131129129128126123121119119120121123124125125125124123122122121119118115112112114116116118120122123122118117120119120120121121121121120121122122120118115108105104103106108109110111111111113110108106107106102 97 94 95 95 94 97100100101 99 95 93 95 95 97 91 85 86 85 84 84 87 85 82 76 73 76 72 69 78 78 77 85 86 86 87 85 83 78 81 83 90 94100102105108109106110111111111110109108108106109110112110110108107106107107108109110110113112108112112113113113116116114113117114115115117117117117118118117117117116116116115115115115109113110113113112112117115116116116116116117119120120122122120118119115119120119123123120122123126127126123124123123125127123123124121123121122121123120121123121121122120122122123122122121121122121123124124124121123126123123121121121120121121124124124125127121121123123126123125124128129130130128133128133134131132131130131131133134133132132130131128130126130130132129131130130129130130131132132130130130128130128126126127130131131129125123129130132131131126127125126127126131126127127128129134138132130131128127128127129131128129128127131130128129129131130128131128121127130126127127127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170171172172170169167165164161159158157158161163165165166166166164163159157154154155999999999999999999135135131131130130129128128126124123123122124126128129129129129129127127128126124122118116114116115118121121122123122121120121121123122123123122122122122122121119117114107107107107108110109113115113115113110110109106102 98 94 91 92 91 92 98101102101 95 90 89 90 91 93 88 88 86 85 85 81 77 79 72 86 74 68 71 68 66 72 71 79 82 84 89 87 90 85 85 90 94 97101105106109109110110107109111110108110110108109110109112109110108108107107108108110110112111111112114113113114115116117118116116117120120118120119120120119118118118116117115115117113111111115114114113116117114117117113114114117120119120120122119118119120121122120123122122122124125125127128130126123125126124123123120122121120121122122123123122122122123123122123122121122123123124124126125123123124127124125123122124122122122126125124126124122125124124125125125124126126127127127128128132133132130130131130131134134135132132132132131132131132131131131130131131131130131130131132131131130128130128128128128131131133131125131132130134134133130129129127128124131128129135136133134135130128127128130130131134130134129129129130126128128128127127127128126122126126127130131128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171171172171170169169168166164162160159159161164164164164165167167166165164161158158154999999999999999999999133132131130130129129129127126126126128129131132131132132133132131131131130128126122121119119120122124126126127126124122121123123123123124123123123122121121119119114110108108109110112113114115116114115112111110107 98 97 94 92 90 88 89 96 99102101 96 97 95 91 91 92 89 90 86 81 81 81 81 81 74 80 76 89 87 81 81 70 74 76 77 82 89 93 96 95 96 99 99 99104106108108109109109110108110110109109107107110109109108107110109111109110112114114111112113112112113113114114114116118116116116116117117117119121120119120120120118118119119117116114114110113112112116112118113117119113113115117120118120120119118119115117122124123125121120124122122123125128127130126126128127125125124122122120121123124124124123123123125125124125126124126126126126124126125124123123125125126125122123124124123125127125124125122124123125125125126125127128129128127128129131130131131129128129130130133133132132132133131133133132131131132131132131132132129131132132132131130128129128128128129132132133133129132132134135128130130130126129130130132133134136139137137136131132130130130134133134134132132132130128126130129128128130133132129128128128128130129129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173172172171170168168167164163161161161162163162162164166167167167167167165159159161999999999999999999999999129128131132131131131130130130131132133133134134135136136135134134133133132130127125124125125125127128129130128125123123122124124124124123124124125125123121118116113111110110112114116116115114113115115113109105 98 97 95 96 90 86 91 95 97 99 99 98 97 94 91 95 93 89 89 88 85 81 81 82 81 73 75 72 83 94100 83 75 75 83 81 85 94 96 98 99 98 99101104105107107107109108110107108108109109108108108111110108108106107107111110111112115112109112113112112113112112113116116117119117117116116117118123124122121120121119121120121119118116119117114113112112118118117114115116117119120118120120120120122118119120122123128121122122121123125123124124127129130129128129128129127125123123122126125124124125124124124127126127126128127127127128127126126125124123127125126124124123123124125121127126123125124122123124125124125126128128127128127128129128132130132131130129130131130133134132132133132132132133132132131133132132132132133132132132133132130130130129129130129130133133132135135134135135131125128130130130132133136133135135133132135132142139138137133133133137134138138135134132132130131130126129130134136131131129129128128129139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170173174173173172170169168168166165163163163163164163164165166167167167167167167163160162999999999999999999999999999134131133133133134134133132133134134135136137138138138138137138138137137136133130130128128129130131131130130128125124124124124124123123125127127127126124122118117115113112115120119120118115115116116117111103 97 94 94 97 94 94 97 94 96 97 97 97 95 95 94 94 92 89 88 85 81 80 77 82 79 72999 77 79 91 92 84 84 85 82 86 96 99 98 96 96100102104104106107106106106108107107108108110108109107110108109110106108106107112112113111111113113113110112111112110110113115116117116117116116116116118119122121120122123123123122122120116117117116114113113117112114116117116117119119119120119121123123123121119120120126123123124124123123124129130125127127128128128130129128126125124125124125126126128128129128128129130129127128128127127128127126125126124123127127127124125124125124124120124124120121122122123124124124126125127126126128128127129129130131130129129130130131131131134130130132133132133133133131132133132132132132132133132133132131131129129127129129132133133134134135135135136136132130131134135134136136141139137140135138137140141140140134135135136137136136137137134134136135134133131131133134131131130130129132132135141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172174174174173172171169169169168168167167166166167167167167167167167167168168168164161163999999999999999999999999999999132134133133134134134134134135136137138139139139140140140140140140140140139138137135135135135134135133132130128126126126125124123124125128129130130129126122120117116117121124125125121119119118118117114106100 95 95 96 96 95 96 96 96 96 97 98 95 97 92 92 89 87 85 81 78 79 78 78 74 76 78 84 94 95 95 80 92 88 87 89 93 92 90 92 93100103103103105105105103104106108107109109106106108109108109109108110107109111112115114114115110113111112110111113114114114116115116115116117119117116116118119118122120122122122123122121117119121118119118119115114115116117120119122122125122121121123122123124120122121124126125127127123125126125126126127129129130129128128130130130129128128128128128129131130129131130129129131131128129131131127128126127126124126124127125127127126125125124125124122121121124123124123125124124125126127128126130130132134130131130130131132131130131133131131132133134133133134133133133133132132132132133133133132132132129129128129132133134133134134136138134135135131134134136136136136137142137139141138143144144141141142138136135134135134137137134136138136136135130130131137134136132135135136137129131146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173174174175175174174173171170170169169169169169169169169169169169168168167167167168168165158159163999999999999999999999999999999133133133134134134134136137138139140140140141142142142142142142141142141141141140140140139139138138135134132130128128128128127127129130132131130130128124122121122123125126124125125123120119119119116110102 99 94 93 94 94 96 96 97 98 97 97 95 94 92 89 88 87 87 82 81 80 79 77 79 72 87100 99104 97 98 84 83 96 89 90 92 89 89 91 97103103103103103103103104107106109110108107106107109107108109110112113113112111115114115116115113114114112111112112113113115115117116117118119117118118117117119120121123123123123122122120125124122119118121122116123122118125125125122122123121123121124125126126118119122123122125129127127127127127128128132132130132130131130132132130131129129131131131131132133133130132130132133131129131131128128129130128128127125126128126126123124124125124124125123124123123124126125125123123126128126126130126130131129130130130131132130129130133132131131133135135134134135134133132133132133131133133134134132132128130131132133133134135131137137134136138136135136136137138138137143138140146144147148146145146144138138137136135137136136137135134135138139130131132132134129139137136136136133137132142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172174175175174174175174173172171170170171171170170170170169169170169169169168167167167167164159158161999999999999999999999999999999132131132132132132133135137138140141140142142143143144144143142142142141141140140141140141140140140139138136135133132131131131131131132131132131131130129125123125127128128127127127125122121121120119117109104 99 93 91 93 97 96 96 98 94 94 92 91 90 84 82 85 91 83 81 80 73999 74 85 93102104107107 97 85 97 97 89 89 92 92 89 89 94102103104104105104105106106106109108107110106107110110109111112114116115114113116112112113112113114114114114112112113114115115115116117118119117117117117117119118123120124127127125124125129123127125119119126121126125121126126126124126126125125125120124123125126123123123124123128129128131129126128131131132132132131131132131132132132132132133133132132132133132132133133130134135133131129127129129128128129129127128128127127126125124124126125123124125124125123126128129124126125127128127127126127130131129129129132131130130128132130131132133135136133135134134133132130131133132133135134134132131130131133134133135136136130139138137137138138137137143142140139138144143143145146147148145145144144137138139142142141140133132136135134134135132133135135137139136135136140135134135137139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171173174174175174174174174174173173172171171171171171171170170170169169169169170170168167166166164160158999999999999999999999999999999999129130129129132130130132136138140141141142143143144145145143142141142141140140139139139138138138140139139139138137136134134133133133135132133131132132131130127127128129129128125124126124123121119119120117107100 97 93 92 93 95 94 96 94 92 92 86 80 78 78 81 90 81 80 79999 78 90 96100103107111110103 99100 90 89 84 87 93 92 91 94101103104105105104107107106105108108109109109108109110112113113114116115114109112111113114114116114114114114113113114113113114115116117117118118117117118117118120123122123127129128124129130129129125125126126123124123129125125128129126126124126127127125124125124128123125128129129131128124125132132130133135135133133135135136135135135135135135134134133133135134135138134135132131133130130130128129130127127127126129128125126126125125126126125123128126126127125129130128125125126126128128128127127129131127129129130131129129129128131131132134134134135136135134131129129132131131133135135134135133131133135135135138137137135136136139139138138140141142142141140145145145145146141140144140141138137138136142144143139139135133134134133132136135129137138136138139143142135139141141141141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173174174174174174174174174174174174173173172172170170171170170171171171171171171171170168166165164161160999999999999999999999999999999999999129127125128133131134136138140141141143144144145146145144143143143142140139137137137137136135135135137137138139139137137135135134134134134134134133133131128126129129129128127127127123123122120120121121112103 99 96 93 92 90 87 87 88 90 88 83 78 74 74 73 81 77 80 68 89 81 94 97101105109112113111105 98 89 90 91 87 89 90 96 97102105107107106106108107107107107109110108109108110110110110110113116114114118114115111112113116116115115115113114116113113113117116117116117119119118118118121122123123124126128128128126126127132126127126127129129128127127127127130129128126128130125126126127130129126125130132134131132136127143137134137138133135135135137137138140137137137138136137141136136136134138135135134132131131135128129128130130128129131128127125130125125129130129127125127128127126125127129126126125127128129126130130127128128129129128128130130130131129131133132135135135135135135135132131130131131132134135134135136134133133133136137139139138137137136136140139140141141146144140146144145148146147140145143140139138139142140143143142137139136140142134139139139137135138138141142143138138138138141143139138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173174174174175175174174174174174174174173173173171170170170171171172171170170170170170170168166166163999999999999999999999999999999999999999144999999138132133136138139140141142143144145145145144144143143142142140139138138137137137135134133132133133136138138138138138135136135134133134134134133133130129130128128127125125123122120120120122120115106100 94 93 91 89 88 87 85 87 84 78 76 75 73 66 81 73 82 88 90 95100100106110110115115113106100 97 97105102 93 93 96 95 99103106106106110107107109109107108110108111109110112109112110111114115116116116115112114113115116115114114114115117113115117117118117117118118118118118117119120122123126128126126128127127130132130133131133130134132132131130133132133131130130131132128126127126126127127129132135133135137135138138139137139138141139140138139139141141140139135137136136136138134135135133135135134131134133130129128128128128128130128128127127130131132130127126126125127128127126126127125126125125127129127125126125126125128128129130129127131130132132134135135134136135136136135135132131132134133134135134136136135135134134140136138138139138138137137139140140139142146142148146147146149147147140140140140146147140143146146144139141140137141141138139140138135136135138139139140139138141139143142140141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174174174174175175174175175175175174174173173173172171170170170172171172171171171171170171171169166165999999999999999999162163162999999999999999999999131132134136138139139141141142143144144144143144143143142140140139139138137136133131131130131131131132135138138139139138135135136136135135135134134131130129127126126124125120119119120121122121114110105 98 95 90 89 88 92 89 85 85 77 77 77 76 74 85 79 84 84 94101104108113112115116116115112108103104115104 91 95 96 96101103106104105109109108109109106108109109110110110109111111111110114115115115115115115115115115116118115115115116117116113115115116115117118118118118119117119121121125126133131129130128128129129128130135136131135133133138135134132133131132131130131128127132129126128129129135132131142138136140139139140141142144140142141140143141141140139138142137137134134135137138136134134133133130131130130131129128128129129128128129131131131131130126128128127127127126127128125125126124125126128126126126127128128127128126131128128130132133134135136138138134138138138136135134133133134133134133134135135134134134138139137140139140136135136139139139139139145145145146146146146148146143138142142147143145147148147143142141144142143141141141143136137138137144143143140139139139137142138138138142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173174173173174174174173174174174174173173172172171170170170169170171172172172171172172171171172171167999999999999999999161162161161161160161162162999999139133135136137139140140141141141141142142142143143143141140139140140139136134130128129128128129130131133135137138138138136137137136136135135134134132131129128126126124121118117117121124123121116109109107105103101 99 95 91 92 93 84 82 82 80 87 76 81 85 93104106111113114116118117114116114113113107109 95 95101 99103107105108108108108105110110109109107109109107110111111113110111111112110113115115118115115117117117117116115115116115113112113115119115117118118118117118118121122124127128130130131132132132135132130132136135133135133136136135134136135135133132133132131130132133131129130134136141139140139135136136141145141141139142143142141142139139139139139138138139135136137134137134134134133133133132131129132129128128130130130131131132137134129128130128130131131129128128126125125126125128125124126126126126127127129127127126128128131134135135135138137137136138138138139138137136135134135135134134135136135136136139139137139138136134135136138138139139139146140146146144145146149150145139142144143147148148146144141141144144143142141142142143142140139139141139140140138138138139140140139138145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172174174173173173173172173174174173173172171171171170169169169169170171172172172172172171171171173172169999999999999999999161161160159158159160162162999999999132136137138140141142140140140139139141141142143143141140139140139139134132129128128128129128130130132134136135136137136136136135134132132132133131130129126123121122118118121119120122122120115113115111109114113108 99 91 95 99 85 81 79 82 86 89 84 88 95100105110114117119118115113110113110110107107102 98 98104107107106105106107106107109108108109109107108108111112111111111110113109114114116115115113113114117117116116114115115117114113113114119116117116117116117118119120122126128128128130130130130134131132132135135134138134137139138136137136136138138135135133132133136136136135134140139138142143139136137139140144141141143141142143141141139139139138135134137138134135138138135135132134134133134131128130129130131130131131131132134132132133127127132131129130132133130129127127126127126125124124125125126128126126128127127126128128131134135135135136134135137138138138139138139137136134133137134135133137135135135138138137138137136134136137137138139139146147145145145145141148148147145144145142142141146144143139142142144139143143143142141140142140139141142139141143139143145141140142145141143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173174174174173173173172171172173173173172172171172172171170169169169170169170170172172173173171171171173173171167999999999999160162160158156156158160160161160999999139139138140141142142141141140139139140141142143143141139139140138137133131128128127128128128129132132134134135136137136136137135134132131132131131130126122120118117115116116114118122122122121121123120118116115112105 90 87 85 87 78 80 84 87 90 92 93 96103109111113116118118117107112111112111111108108109105102107103108106106106106106107109108106108105106108116113112111112110113107113112114115116114114115114118117116117117116117115114114115116116117114116116117117119122124126128128127128130130131136132134135136136139140140141142139138138139140142138138138137133136138137141140141141143143142143140139138141138142143142144140144142139142140138135135135133135137134136135137139137136136136133133131127130129128131130129130130132130133132131131130130132130129130130129130131130128127127126125125126124126125125125126126126128128129129133134136136138137138137138138138139139139140140137136137135133133136138140139135139137137135135137136137136137137139146145147144143146146146144147145144144144143143140140147141140140141140145142142142142144145140140142142143148144143141144143141142140143145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173174174173173173172171171171172172172173172173173173172171170169169170169170168170172174174171171171172174172169999999999999161160157155154155156158158159159999139142140139141141142142142141140140141141141142143141139138138138138137133130128128128128129130130131132134135135136136137138136136134131132133131129126125120117116117116115116112116121123123122120122118116120118110107 97 91 89 83 83 87 89 96 95 99100103105112115115115116119115110109108109110110110109109110104103104104107103103106108108106107105109107106110114112113112113111111113114114116117112116116116117117119115117116115114116115115115118115117116117116117120122124127129127129127127129129131137134135135138138140140141143141142142142141139141141140140139139139137139141144146146146146147144143143141143142142145143146147145143139139139138134134134134134133134132135136137134132135135136134131128127130130129132132131130129131132133134132132128126127127128129130130132132131130126127125126125127127126126126127128127127129132130132135136138139138140137139139139141139140141142140139137135133134135139138138138140138135135135136136136136137137147139140140144145146147142142144144144144145141142142143144142142141140148146143144145145146140141142143143147149145144144146148144146144142142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174175174173173173172172171172172172172172174175175175174173171170170170170170169169172174175175173172172173172168999999999999158155153153153153154155156157158140143142142142142142143143142142141142143143143143143142139138137138138136133130130127127127129129129130131133134135136136137137136133133132133133131127127125121115117119115110107113117122122122120119120999999999105 99 97 96 88 86 90 92108 94 95 97102104104110119117113111116115114109109107105108106105105108109110112109106104102106103104104105109105108110111110113111112112110115117116115114114118115115117118120120119117118118116115115114115116118116117118119120119123126126128129128126128128129128135140142136135143142140142142144141141141141142141143142143143140140141141140143143146149149150150147144143149150147148147147146148147143142142138136135132130132134130133132131136133133131134135135134129128131129127130129129130130131130131131131133133131129129128129128130128132133130130130126125126127128126126125126126124127128131132132133137137139139139139139139140140140138140142141141139136140136135140142138136139140136135134135135135137136135145147138139139139146143143139141143144144141141140143141142141142142141141146148145142141145141142143148145147150147147151150151150148148143145145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174175175174174174174162174174173173173173174174174175175174174174173173171170170169170173176176176175173173173172169999999999155154152152154154153152153155157157145143143143142142143144143143143143143144145145144144141139137137139138136133130130129128128128128130131132133134136136136136135135135134134133130129128128126124120120119115109109111115120121122119999999999111109106 92 90 85 86 88 98 98103101101 97104104111121119116115113116116113107112112109103105105103105107106107110106105105103101101103106108108107108112113112109115117115114116118113116117120117118115118117115120120120119117117115116115116116117118120120122122125128130128130131130129131131132136142137137137146142141142143144143145143143143142143142143144143141142144144145147149148150149148149147150147155153148147148145148153140139139136133132131130131134132133134133132133132132132132131131128128128129129129128130129127129130130130131133134133132129128130133131129129132132130128130126127127128127126127126127126125128130135135137139138138138138138138137139138140138138140138142139137135137136137138139136133136136135135136136135137136136145143138138139139144142141139141143141139141142141138141141140143145144145145147147146147142143148144148148150154152154151151153151150149146146148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174175176176176176175175175162175175175174174173174174174174174174173174174173171171171171173176177178177176174173173172170163999152153152151153154155154153154154155154147146145142141141143144144144145146146145145144141138137137138138139138135134132131130129129129130130131133133134135137135134136134135135135134133132130126127123120119119117111111108108110111117999999999109108 98100 89 87 84 83 92104108105106107103113119122127124118116115117114114106107108106103 99103106105103102100105110106106106101109109108108110112110110108109110118113119120117117117115118119117119116120120116118118123126123121121120118117115120120120122123121127129131132130131132132133132137138144138140141145140141141143144145148148143141141142141142142143140141144147149150152150149149147155151153151151154156153148147147145139139136137133133132131133132132135134136134137135133133132132131129128129131129129129128127129129131132130133135136136132130128130133131130130130130130130129129127128129127128128128130128129131134136138138139140139137139139138138138138138138139139140141140138138136133136139132134134135135135135136135135136137144143141139138138139139139138140144142139141142142140143142144143142142142145147148149143144144148148144152147152151151153152155154153153150148148148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173175177177177177177176176176176176176175174174174174174174174174174174174173173172173173174176178179179179177174174174172171168157153151148150153154155155155156156155151149148145141141141142143144145145147146145142140136136138139138138139138137137134132132133131134132132131132133135135136134132135134134136137137136136134129125127125124122113109108104103101999999999999 95 94 92 98 96 96 85 85 87101105109109113113116121125126127124119115115116114112108109110105103102101100 98 99100103102106107107107103101108110106111110111112112114115113115119122121123123122119120118121120120122120118121123124125124125123124121119118125126126127125125128132133132131133132134134136141139140139140141140142142144145146146147142142143143142142143143143144145149151150151154153152155157150153154152150149148155153150145141138136137135135132130135132132133136134132136137133131131131130129129132131130128129128130131131133131130133135136137138133128128129132131130130130131133132129128128128127128129129129130132133135139140139140140140139138138137137141139136138139140142144142140139139138136138136133133133134134135135135136135144144142141140137139140143141139143144140140140140142140139143140142142143145149148148145147147150146147146152152151152153154156158156155152149148146152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174175176177178178177177176177177177177176175175175174175174174175175175175174173173174175176177179180181180180177175174175174173172170167160148149151153154156156157157156154151149147143141140141142144146145144144143140137138138140140140139139138138138137135134134132135135134131134136136136136134135135136138136138137138136134131128129127125120112108109112124999999999115113101 96 93 98 94 90 88 89 97102117117118120125124126128127129130130123119115113109109107111109109108106106105103 99102105108108110112108102106105105110110113113114119117117118127119119118122120122122123123122121120120123124127126127125125127128126127126128126127127127131131134133133133133133136136139139141140141141143142143145145147151145143145146145142141144144144144146146149149149149152152147153155151152151153151150149151150148147142140136134135136132130134132133136137135133135135134134134131129128129130129130128127126131130130129128129129130135136137133134134133130130132132131131131131129130130129128130131133132133136137137138138138138139139140137138138138141140138139138141142142142142140138136137139137134134134133133135135135136140149142138139142142140141144150151146144143143142139138138141144142143144145145146146147145149149149146150152154155154157157157160160158155154152150150151 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175175176177177177177177176176177177177178178177176175176176176176176176175174174175176178179180181182183182181179179180180180179177174170167162154150150151154155155155155156155152150147143142142143144144144143141141139138138138140140140140139139140139138137136135135137135135136137136137136135136136135138139136138137139137128125125130129125119118138142125999999111111112104 95 93 91 94 94 92 93 91 97106117122124122126125129131132130131129130122116117114112112111111110110108111108106106107109112114112111112106107109105111112115117117118119127124126124124123122122122123125122124123122123122123127124127127128130128127130128131130129129128129131133135135135135135137137140141141140141143141143145148148149149145148144145143144141142142143145147142144154151150151153157156155151151150150149152149149150146146144141135135135137134134135135135136133133130130134133131132131129131130127130130130129129130130132129127128128129133135135134134133134134133133133134133133131132131131131131133136135136135136136138138138139139139141139138139138139139138138138139139141142139141142139138138138134134135136135135136135136136148140141141144145147147147149151151145145145145142145137139142143144142142142144144145149148147148147149156157153157156160161160161160158156155152153153149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174175175175176178177177177177176176177177178178178179179179179179179178177176175175176178179181181181183185183183184181182184186186183180178174169164160154150150152154156156156156157155152148145143141141141139139138137138136138138140143142143143142141141141139138139139139139138136137137138139137137136137137138140140139137138139139139136999133125121129124124114120 98 97101 96 95 93 95 96 95 97 97103 97 97110119122126126131131130133133133132129129128120118116115113113115111112115113111112114112112114115112110110110111111110112114117122125123123128125119124128128125124125128126125125126125126127125127128129129131132133130129129131131132132131133134134137137137136137139137138140140143142142143144146146147148146145145142145145143139140140141144147141145148150149149149157154151151151149148150151147147147146145139138135135136134134132133133133136134132131132131131130133130129131128126128129131131132131132135131128128128131132136134135136135135134135135134135135133134135135134132135138137138137137138140139137137139140139140137136137137137138136137138138139141142140142141140139139138137136136137136137137144144139145141142145150151151147149152151148147146146144146145139140143144140141141142142144145149148151153148151153154155157156160161161161160159161159159149155154 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173175174174174176177177177177177177177177178178178179179179180180180180180180179178178179180181183182182185186182182184183185188187183181999177176172169163158152149150152156156157157156157153150148145143140137135134132133134134135137142145146145145147147145145143142140138140140142143141141141142141141141140140138140139138135136137139999999999999125123131125113115111103101101 97 94 93 97 96 99103106104105109117121121123127132131135135135134132131130129126125118118114113117117115116112112113113113113115113112108112113113114115115119122124123123124127126126122123125127126124131128127123126126128127133130131132130135135131132129129132132134136135134134134134138139138134139145144145143142139143146142144145147146146141145142146146144139139139141141142146146148154154155154153153150150150149149149151146148148146144139138137137137132132134133131131132131131133132131131129130130130133132130128129129131134130131132132129127130130131134134134136137134137136136135136136136135137137138137139138138139138139138139139137138138137140139141138138137137137137137137138139141143143143143141139141139137136137137138141142145141141149146143147151151153152152155150149148145145144144145143141141142142141142145143144145145149151152151150154153159159160161162163162161159163160160159157158 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173174175175175174175175176177177177177177178178178178179180180181181181181181181181181181180181182183183182183186187999183185185187189188999999999999999174174167161154150150151154156155155157155155153151147144142138135134133134134134135139144147145144147145148146148147148146145143141142144143142142144142142141142142142142999135134134136134999999999129116108 98111104106104104107104101 99100105102105100100106111117123123124129129131133136137137136136134134132129128127124116114114116115115115112113114112115115112117109112115116114120125124126127125124126126128125125127122126121128127128125126132132130133132130131135134136133133132132133132134135136137136133138134135138134134140145141146141144137142145144144145145145144146144144148142144141145144142144144146146147152155153152151148151151150150150150148148148148146141138138137137134134136133130131133134133130132133132132132133129129131132129129128128129131131130133131132131131133132134134135137138138138137136136136136137139138138139141141141138138139140141142141140139138138140140141139140138138137138138138138139142142145145141140140142141139138140140141144147147145146147148147150151153152154156155153153151151150147143145146144141142142143144146145145147149152153146149152152154154156156162160160161160158161163161161157161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173174176177177177176175174174176177178178178178178178178180182182182181181182182182182181182182182183184185185184185186188188186999188188189999999999999999999999176171167162157152152153154154155157155154153152149146144139138136135133133135136143145145147144145149149149149152153152151149147145144144143143143140140142137137139139999999999999999999120127127126112109107107106109109104109109106105105105104106110111114116119121121125127128129132136138138137136136136136135134132129120116114115115119119116114112111114115114115113115117120121121124124125126124125127127128128129129131126126129128129129129130134133132133133134130133133133135133132135134134137135136136137134136134135133137135141139141140148144139142143141146143141147147146142147144144142146144145147147148146149149154154152147147148147148149147149148148148146144141139141138137136136136132131132133134135134133133132131130129126128130130127130129128130132132130132130130130132133133134133137138140139138139138137137137139140139139140140140141139141140139142142142141138138139141140139139139138137136137138138138138141140142143141141139143140141141141142146145145147149150151153152153154154155157157154154153154154151150146143142142142142140143144145145146149150151152151148148147153154155159163158162162163163163164164163161163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174176176176178177177176175175175175177177178178178178179181183183184183183181181182183183183183183184185186186186186186186189190191999188188190999999999999999999999999175173169163156152152153154155156155155155154152150148143141137135134136136136141145142141144147146145148151155157156154152150149146144145144142142140138138135999999999999999116123125122124116123106108109112110109110113116114113112109111110109112115119119122124125128129130131133135138136137136138138137137134134133129121117114115116115116114115116115116116115117120121121120123122125125125123130126127128127129131125126130128125128130133133133134133134133135134138136133135135131136134135138137134136135136137135134132136136141141138139146147149144145146147143147148147148144144145145144147146146148148149150149151153150152147146148148149149149149149148148145141139138138139138138140140135138138136136135134136131135135131130129129131129131128132132132132134134135131129131132134134135135137138139139138139139139138138139137139137140140141140143141142142141141142140138138138141141142141138139139137137137135136137138140139144141140141143140141143145144147149153149152152155156154155154156155156156154154152153153152149147144144145144141139144143145143147148148150150150151153152154162163163163163161162164164162163163162161162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173176177177178178178178177176176176176176177178178179180181182183184184183182181181182182183184185185186187187187188186186187190191193193191190190185999999999999999999999999173172167161152154151153155156156155155154152151149145143139133133137139139141145142140141143144148152154156158155157156152152150146146146148149145138999999999999999999119116113115117116102100102108112111111112115117118117117115114116114114115117119124125130129132134134134134136137136139137139139139137138136136136130124119117116113113115117116117118119118123124124124122123124123125124122126127127129128126128125127129127126128128132130132133134134134131131139137132133134132134133135136131134137134135137136136135137137136143143140140142147141147150147143144148145146148144145152145144146148148150148150147151151152148148145146147150152151150150150147145141141138138139139140143143139142139139137138136136136135136132136137136137131132134135136134130131137135132131132132134135137138139141138140140141140141139140139138138140141140142143141140141141141143144141141137139140141142142140141139139140138137137139139140139140141141143145143143146146147148150152156154154156155155155155156157157156155155155155154154152148147146144145142144142142147148147149150149149150149152152157161161163163163162164164163162161159159162163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173176178178178178178178178177176176177177177177177178180181182183184185184183182180180182183184185186186186186186187187187187188190193194194193190189190999999999999999999999999999169168163158152150151153155154153154153152151149146142138134133135138139138142142138140141147154156155156158155156156156155153149148146150150148143999999119999119119120129128124121115118115116117117113114115118117116115117118119118118118119119122126131134137137138138136136137137138139139141140140140138136138137136135124119118117119121120122123120123125124124124123124128127126131125124126126126130130129129127128127131130130129127130132132134136132131133136133129136135135138138141138139138144140140142137139138137136141139148147141146151143146148149144147150149147148152149153151148150150149151150150154153156154150146148146147148150149148148148146143141139139140140140141145143144143142142141141137139138139140136136139138136136136136135135133133134136135134134135134133134138138139140140140138141142141139139140139139140139139140141141142141142142143144146142140140140140142143140140140139138140139140140140139140141142142143147147148149150150153153155155154155157157157157157160160159155156156156156154155155153153147148147144146144143147148151149150150149149152153153154158160164162163164165164167162164161161162162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174175178178178178178178178178177177177177177177177178180181181181182184185185183181180181182183184185185185184183184184186186187189192194195195193191190190190999999999999999999999999999167165162158155152152152152153153152151149148145144141138136133137138139140140139140144150155156155156158156157155156156154152152149149149999999999127125127121117119122120128130118117119118120118118119122118120121122125123123122121122123125130132133137138139141142138140142144144142144142140139138137138139138137138131124121119120123125123121123123124124119122125125125128125127126129125127130130125128130131130128128130130134132133132132134134135134136134135134133137136139142143142139143141142141144142140140139138140154155147148143146148142148146150146149153152148146146151154154155155150149150151151153152153150146142143146148151148146149147147144140140140141141140145145145147144140141140137139138139137138135135138135134142138138136137135136137136136136136136137134135137139139139139141141142141141139140139141140139141140141141140141142143144142143144142142140140141141139139139139139138139138140139140141141142141142145147149149150151154156158156156155158160160160160160160159159156156156156156155154154153153150148149149146145145145148150149149148151152150153159158161165162163163161165167168167166164164164164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174177178179179178178177177178178178178178177177178180181181181181183184186185183181181182183184185185185185184183184184185186188191194195195194193192191192191999999999999999999999999999999167166164163160159154151150150151149147146144142140138137136136137138138138139143146146148154154153153153155155155156154153153151155999999999126133134149124121122114129125121121118117121118120120127123125125123126129129131129129127127130134135137139139139143144143146145146146143145143141137139139138137138139137136133125121121125125123123125124124124124123125123124131128133134129131129129131129127128130134128126129130133133133134133134135133136134134133136135135136135137140140140140140138142147148146143143141144148156149147145147149148146146145146151149151150151153151155154156154152144148152146153156154153148147142146147148148149148148146147143139139138139141142142143148144145144142141142142140138140140138139136136140139138138136135136134137137136137137137137137138139139140139138139141141139140141140139140140139139141142142141143142142144144143143142141140139139140138138139139139139139139139139141142143143144145145151149152152155156157158157157159160161162161161161159159157157156154154154155155154154154153152150150150147147150150150151152153155155159159159163164164163162159166167167168168165166163164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174176177178179180179178178177178178179179179178178179180180180182182183184186185186185183182183184185185185186186186186187188188188190193196197195195194192191190191999999999999999999999999999999999167170166166163158153149149148147145143141141140138139137137137137140142147148147150152152151152152152152151153153153153153156999999133132134134135136122120121124122122125124123124122124128128131132134133131134135134134134135135134134135137139141142144146144147148146146147145142142140139139140139136135137138137135132120120120125126123123123125127129127130127130129130139136133137135132137135136131129134134128127126132133131135135135135135136138133136136135136136134133140139143148150146146148150150147147147147153151149149148151154146146146143148154148150151153153154155154154154152147151151148153154154150149146145145147147147146148149146146147141142143141143145144144148144144143140142141141141141144140139142141140139142141139137138138138138136136137138138136138137136139142140138138140139139140141139140142142141141142142143143143143144145146146143145146142139139136137139139135139139140138139141141143143144144148147149152155155155156157157158158160162162162160160160159158156157155156155156156156156155155154155152152153152150148155151152153154155154157159162162161161159166162166167168169168168165165164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174176178180180179180180179178178178179179179179178178180180180182183184185185185186186186185184184184185186186186188188188189190190190193194196198197195193193192192191999999999999999999999999999999999999170171171166151156153150151147144142142141142142140139141142145144147148149153155158157159158156153154153151151147148141999999145134120120124122123123114121112121125125124127130131130128127129129129132135136137136138137139137139139139144143144145148145147149149149145145143142144142141141139138137135138139137137139127122123125126124123125125130133133136135137133137142139138135141137136141133136134136133133129129132135134134134135134137135136133134136135133137133138139144147145149153151155153154153148151147153153151150149152152146146149148146152150151151152154156156156156155154156143153155154153153150148147146146147148148146147148148147145149145146142143146141145147145138137139140140141143143143142141141140143142145144141138139140141136135135137139138136135136137138138140138137141138140140141141142142141141143144141144142143143144146145146147147147144140139138138138136137140139138139139140143144145147148150148151151156156156156155157159161162160161161161160160159159156157156156156157157156157157155155156158156156155153151153153153152153153156157158160160163162158162164167169170169168168166165165 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175176177178180181180180180179178178178178178179178178179180180182184185186186186186187187187187187186186186187187188189190190191192193192193194198199199197195192193191191999999999999999999999999999999999999999999167170164161161156154151147148145143143142142143143147143144150154153151155157154155157999999152148150147142140999136142127126119118121119116113114117121125127128130133135134133133135135137137139141141139138140140141142145144145147149148148149146148150149148148144144142140140140140140140138137138139139138140137126126124125125124128134135135137138138137134134139140138138141140141144142143139138137128127127133134134135133132136138137134136134134133134135137138139148148148150151152153155157156152152154155155152155153151154149149154147150152153150152151153155157156155155155153153153152155153152152146146144146147147145145148147147148145148145144143142143142144149138139137141141141143141144145145145144143145145144145140140141141143140138136138140140139138140139138139139139139138138139137139141142142142141143144142143143144145143146146146146148148147147141140140138140141140141140139138143144145146146148150149149152157156156157157159162163162161162162161160159159161159157157155155156156157158158158156156156157158156153153155154154154152154153158159160162163160163164165167170171170168166165165166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175177177178178179180181180180180179179179179178178179179179180181182184186188188188187188189189189191190190189189189189189189191191191193193195194196197199200199197195194193999999999999999999999999999999999999999999999999999166161167165163159157151148143143142143143144147148157157156155157154154156154999999999999999144144137132130129123123122121120118121119116119123127129130131134138137138137138137139140142142142145142142143145146144147144146149151150151149149148150150150148147145144138138138140138138139139135138139140139139132126129124125128137138138137139137139139145146146141145147144142147144147145145140139131133131132134132134134136137138136133135135132136134141140139142149151153153153156156159158160156157155152154153156157155156153156149149149152150150150152154158157157157157154152152151151154153151150146146146147146147146146148146144147145145144144144144143146145148139144142141140141143142144145145145141144145144148147148142141140144140142140139141140139139141141139140138138139140138138138140141142142142143142143143143143145144146146148149149148149148147144143140140142143142142141142142143145145147147148152154149153159159156158160162161162160162162162161159158159160159158157157159155157156157158157156157158158159158157155153154156155153155155160158161162163163166167168168169170169169167166166166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178178179180179180181181181180180180180180180180180180179180181182183187188189189189189190190191191192193193192192192191190190191192193193194194193193194196200198197196195195999999999999999999999999999999999999999999999999999999999165164165164163158158154150146151151151155159162153999156157155156156999999999999142142143145143139131132123122127123121120120120117121126127127128134138139139140139140140142141143143144144145144146147148148148148150152152151150152151151153151150148146144140139138138138139138139137137138139140142141138128127123130136140140138140138138146150156151149153152151153148147145149146147141140137132134134133135134134136136134135135134134135133133139144145148145148150155155156158159161162165161156154155153153159156158158154152152153153153152151153155155159155159157155155152151151150153151151146145146146147148145145146145145145146146144143146145143144143142147146142142139142142141143144145144144144143147146149150143142142142143141139141141139139141142140139139139138140139138141138139141142144143144144143143144144146145145147148148149149151150150149148147144145142144144140138143147150149148150151152155156156157158158160161162163161161163163161160159158158160160157157158159159157157157158159159160160159159157158155158154155157158157157160160162163165167168170171171171170169169168166165167 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177179179179180180180180181181180180181182182182182182182182181181182183185188189189189190191191192192192192194195195195194193192191191193192192193193192192192194199200198197196194999999999999999999999999999999999999999999999999999999999999999166163164162161163160156159159159159163999999154156157157158999999145142143142140141145141144134135122118120124120127123117118121126127127131135141141139139141143142143144144147145147147146146148150151152152152151153151153152155153153151147144143138139139140137138138138138137135135138140140141140128128128131140139143140142141142151159154160158154164162163163158150154153150144138137137134136136134134135138136137134135134136134136138141147154152150150155156156157159160159162163161158152152156154155160159160162156153154154154152152153153155158157155155155154151150150148151152147149147146144144147147146146145145144146147144144144144148143143145147146142142141143142141143144145145145144144145145149148143142142140143143141141138139139140140141140139140139140139140140141139140142142144144144146145144145146146148148147150151152151152151150150150149148148146144144143146149150151151154153153157156155158159160161162163163162162162164162161160159160159159158158159159160159160159159159159161159160159158158157153157156157156158157163163163165168171169170172172171170169168169166166167 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179181181181180181181181180180180180181181182183183183183183183183182182184186189189191191192192192192192193193194196196198197196195194193193192192193191191191192194197201200199197196999999999999999999999999999999999999999999999999999999999999999999999999999999164163163163162162161999999162161158158156151999149146146142141138137141142141138138125120120127120122123121123128130135135138141141140141140141144145143144145146147148146150149153155153153152153150150152152152158152152147144146142136135134137137137139139139136133133135138139142139131126128133139142142139143144145151159165166159166169167162165162156159154151153150145133140135134129133134138138136132132138137139143146147149159158154155160158159158161162163164163162160158161154156160157161153165158152154153151156151153155156156157153157156153149149149148148148146146147146145144144146145144144146145147146146145144144150146146145147145145143143144144143143145145144145146145146145148149145143143142142144142141138139139139139139140140140140140138141141141141140142144144146147148147146147149150148148149151152153152153153152151150152151150148146145147147150148152152157155156155156156161161160162163162161162164163164161161159160160158159160160162161163164161162160159160159159159158158156156156156159158156162159165165165167170170169169169170170170169168167166167168 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180181181182181181183182182182181181181182183183184185186186186185184184184185186188189190191192192193193193194194196197197197197196197196195193192192191192191191194196199203203201196195999999999999999999999999999999999999999999999999999999999999999999999999999999999162162157163999999999999161159159160999999150148147145141140137134137137139140139129128128127124121125127131135140139140140142143141142141140142145145145146146147146147150150151152151154151152151149153155156154148144140139143140141134134135136138141140134135132133133136139140136128126137137141144143143142145146158159164170162156169168164158164162160160154160158154152144135138130130131137136137134136135142145146151155153153159162162164161159160161162163163162164161160160160154155163164160160161158154156153152152155152156155157157157158155149149148147147148146146147147146146143145145146146146145146146142144144146146147144144142142143142142143144142143145146145145145145146146144145144141142144144144142140140139140141140139139140140139139139138140140139141141142145147150149148148149149151151152152151152151152153154153152152151153153154148145148150153153156155153153157156158157160161161161161163162164165165165162162162163161160160160160161163163162161162161160159160160160159161160159161161159161163163165169168170169167169168168169167168170168169169169171173 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180182182182182182182183183182182182183184184186187187188187188187187186186186187188189190191192192194193194195196198198198199198198198198196195193193191191193196199201203205204999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163162157154999150154149148147144138135133131130999999137138133129125126127125130132139143141144139139139138140142143143143144145143145147149148149152149152152152156154153153155158161159152142141141139140139140137137134136136140138135134133133135137139137132128133138140142143143140141150155164168170170167161161168168165164161160160161161163162158155144144134137137138136140140139146147146151155160158158164163168166163164161163162163163162164160161162159159153165166162163165162162159156154159157156157155158156157156153150148147147148147147146146146147146146148147146147147146145144143144146149147147145147143143144137141144143143144145144145145146145144146144146146144142143143144141141139138138140140140141139140140139140138138141140142143144144148152153151151151152153155153154153151151152153154155155154152153154154151149151150150153153154155159161158161162160163163163161162165165165164165163162161162160162161161160161162163162162161162162161160160160162163161161162162163164169170172170168170169168168168169168167167167166168170169173172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179181183183182183184184183184184185185186187188188189188188188188188188187187187189189190191191192193194194196198199201201201200199198198198198201200200201201202201201204204205208999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162159156999999154150145146145142137134133130999999133136134132131124121130133137137139141140139138137137138141141143144144143144143146144148150152147151152152154156158157159161161160159150142143143142141140133132135136136139140138135133134134134139139137126132134139141142143141142148154165168171170172166164164167167169169164164165163162165164164158154145139138145144144147144147147147150155158162167168167165169169165164162164163163162160162162156161162163162155169168165167164164162161162157160158157160160157154154153150149147148149149147147146147148147147146148147147148146147147145147148149147148147144144141139140139140143143140142145142143145145144146144143145143142144144145144143141140140140141140139139139140140142141139142143144144146147150153151152154153153156158156155155154154155155156157157158155154159158155153153157160156155158161160160160157160162164164163164163165165168165166164164162162161162162162163162162164163163163163163162162162164163161162162163167168171172172172170168166167169166167167168169167167167168170171170173 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176179180181183184184185185185185186187187188189190190190190189188188188188188188189190190190192193193194195195197199200198201201201199199200199201203204205206206206205202204204205205203999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158155154152148149148144141139136132132133133132135137137134128127125129136141138139137138136138138137140142142141140139142144145145145149153152156153154153156157160160161162162162157154145140139141140142137134134135138139139138134135136136136138135129131133134134136139139144149153164170172172172173166168170171172169167167167166166164166167166163159151154150150153152149149148152151156156164168169169169168169169168163165162162163160160160159160161156158164153165163164168167165164162159158159159162159160160157157157155152148148149148148148149147148148149149149149147148148149147148147147147144143147144142141140141140141141141141142143143142145145145146145142143143144144144143142143140140140141141139140139139139139141141142145147147146147150154153154154155156158161159161157157156158158158158157156158159157160161156155156158159160161158158159161160162163162162165164165165167168167166166166165162163162164164164165164165165165164165164165163163163163163162162164167169170172171172172170168168168168166167168169169169168167168173172172174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179181181182184185185186186186186187188188189191192192192192191191190189189189190190191191193195196196197197198198199200200200201201201200200201203207208209208208206205205205205205205204999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158155153150147143141137136133130131134132132136136138131129130130132136138140136136136137139140141143143142142140140141143146147149150151151152153155157155155157162163162162162158153144138138137137139136134132133137138137139136139136138139139131131133140137139139143149153160167170170172172171171169171165169172170166169169166166166165166161165163159155157154152150153155157158160160160165170171167168168168169166165166163164164163160162162160159159157160160166166164166166165165166163160161160161161162161157157157154152147149148150149151149149149147149148149148147147149149148146147147146144142144143142141140141141142143142143144143142141144144144142147146146145146145145142142143142141141141140141140140140141140141142144148149151152156157154160158157159162164162163159159160161160158159160157157161158158158162160156157163160161159159160160161161163165163164165166165164166169167169169166165165164163165165166167167167167166166166166168167166165165164164164168169168170170171172171169167169169169168169168169168170169169170173172173175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182182182183183184185186187187187188188189189189190191193193193193194195195196196195196195195196199199200200200200201200200200202202200200200200201202207211213212209207205203205205206205201199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157159153153149141139136134133133134133132130132137134131125128135137138137138136137138141142146145144145145144143141142144146148151151150151152153155154153155157156158158159160160158149143138142140142137140135135135136137137136139138139131134134131135141140143144152160166168171174169174173175172173172164171168168172170168170167164164165166165164165163163163159154157154158163167169166166171170169168168168166167166165164164165164161161161160159160161165166167165163163164165165161159157163162163162160161158157156156154148149149150148150150147148149149149149149149149149149149148149145144143144141143142141140141142141144145144145146146144145145142144143144145144145145144142142140141140140142142141140140141141141143143147149151153154156154158159160161162163164163164165164162161161159161160159160158161158160161161159158160160161160159159161159162166164162164166166165165167166167170169169168168168171170168170169170171170168167167169169171169168166168168170170169171171170170171171170169168170168169170170169169171171169168171174176177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180181183184184185185185186187188189189189189189189190190191192193193193193194195197198200200201200201202203203203202202201201201201200203202201202203204208211214214211999999204202202203203202199196999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157161158999143141137135133134134133132128129139133133127133133136138137136136141141143146147148147146148146146145145146147147148148150149149153155155153153153153151154153155158159154151147145143142138140142140139139139137139142141138138132134133139139140141145154164166170173172175173175173178173174175168173174168168170170168168169168164167164166164167165166167166166162166168170171170170173173170172172171169167164164164165164164162160163159157161162157163162160162162163161164161159157158162164161163161158157157156154151149150149149150152150149149150151150150150150151151153150152145142143143144144144141140139143144144144144147147145145147146145144145144146146147147144143143143140142139141140140141139141142142144147149151153156159159161161164169166166166165170170168169165165165164167164161162161161158157158158161160160160161163161161162163166166163163163166166167165167169167167171171172170170170170173172172174175174171169168168168169169169167168169170169170169171171171171172170171171169169169170171170172173175174175176178180181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189191999999999999999999999999999999999999999999999999999999999999999999999999999999999184184185185186186186187187187189189189190190190190190191191191192192193193193194194195197199200201203203203204204205205204203203202202202202203203205205208213213215215213999999999999197199198197195191999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143141140138137137136136135134139139143142134135133134138137137137137140141144146149149149149146145144147148147151151150150150152149151154157158154150152154153155156158159155155144144141139142143143143142139141141141141138135133135137140138140141147154164170169174172173175178176180181172168174173169166173168171170168170171170165167167166166164167166166167168168167171172169173173175174170170170171169167166166165168166167162161165160158160158162154158161159159162157163159157155156164166164162161160158158157154152150150149150149150151149150152153151150150153156156156153149145143144144144144143144142142143145144145146145147148147148146146145144148145146146147144143143143143143142139139140140141142143147147151152155156158160164163165164171171171171172172172173170169169168167164165164163162162164164161165161162161160161161161162163164165165164167166165168167167169169167170171173172171171173172172173174174173173174174173172169169169169169169168168169169169171172172172172171172170171170169169170172171173177176176178179180182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193192999999194193999999999999999999999999999999999999999999999999999999999999999999183184186186186186186187187188188189189189189190189190191192192192192192192193193193195194195195196198199201201202203203205205206205203203203204204204206208210213214213214216214999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143143140141141140140143149150149142142140141141140147142138141138141139139142144146145146150149149149148145147148145150148148150151151150150150153157158159158153154151153151152158161157152148145146145147148148145146146141138141138138137138139141142143147156164173175173174177180178178179180179171174173170169170172172170171171170168165164163164167166163166167167167165165166168173170175177177172172178176174174170167167165167165165162160160159162160158155158161161158161163163161163158154156163166163160162160158155155154154153150148148149149149150151154154153153155157160160158156150149146145145143144143146144144145146148145146149146147146144146143144146146143142146146142145143144144144144140140141141143145146148150153154156159164164166170173171173176173174175173176173173173173169165167165166165165165164165166165162162164160160161162161162165165165165166167165166166168167166166166167170170170170170170171172172173175176175175177174174171169169170170170169170170169172173171173171171171171171171171169171172174175177176177180181180182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194193193195195195195999999999999999999999999999999999999999999999999999999999183184185185187187187186186187187188188189189189189189189190191191192192192192192191193193194195194194194194195197199200201201202203205207206205205206205205206207208211213213213215213214209999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143143143141140142144150153156158156154152149149151151147149149145143142140142146142145145146148147148147149150150150146148149148150151150151152153153157159157156156158154152153148152161163160154154156156149147148144145147143140141142142142141143146146150159167174174175175179182180180183183185179176179171175171175178175176168167169168168165163166167167165167167166167169170171170172170176178176174174179175174172170172171168168167167166163165161161158158156156158162159161165165163164160159159162165166166164161159156155154155152152149149149151151153155157157156156156158160162161160152150147147146146145145147146145145146143144145143147146147146145144144145145143143143144142145146145145146145144144144145146147149152154156159162163167168175176175175176176177176176174174175175172174170168167165165168168165165165162162163163163162162162163164164164163163164167166165164166165167168166166169169169168170171172172174172175176177175175175176176176175171169169169169169170171172173173173174175172171172173172171171173175175176175178180181181181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196195999195195195195196999999999999999999999999999999999999999999999999999999185185186186187187188187187187188188188189189189188189189190191193192193193192193193193193193194195194194194194194194194198200200201201203204206207207207208209210211212214215214212212212211999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150144999999999999145142140140139141141140144149151153154157157157155161164164164159159160160159156151150150146151146148148149148148149149151148147144148149149149148150152155157154154153157153158156158154154154152156166167161156160164159150153146144147151147143141139147148146153156157163173175176178179184185186187184181187187183180180177179176178179174171169170170167169168169168167164168170169169170171169171172174176178176178178175172172172171169170170166168167167165164163163157159155156158162159162163164164164163156159162161165165165160161160156154154153152154149151151152155157160160159159160160161161161160155151147147147147145144146145144145144145145144144146146144145144145147145147143144144144144145146146146147149147146145147149150152155158163165166168172169175177178176179180179180176174174175173173175170168168167167166167166166166161164163165163162161161164164163162164164168168165166166167168168168166163168167169168171170173173175175176177177178178177177178177176174173170172170171171172174173173174173175174173172173173173172173172173174176178180181183183 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198197197196196196195195196193192999999193999999999999999999999999999999184185185187187188188188188189188188188188188188189189188188189190191192193193193194193193194193193194193194194193194194194194195198199199199199201202203205205206207210212214215216216215213209206205999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154154155151145143143142141140141142142143144144147148149152154155159159161160163165165165165166166166166166166165161159157156154150152150151154154152147147144144154151148149151159163165168168156158157157157153150155157156163164166168167162167163164157154148152152146146152150152153151157160163169179180181180184188189189189191186189186185180180180179180180179177175171169173172170169171168168169168169170167170172169172176175176180176175177175172170173169168170170167167168169166164162160162159159158159162163162163162164166160160161163165165165167163162157157156154154154153153153153154156159160160160160160162163164163163158152148148147148147147145145146145144146144143142144147145145146147148149148148146148145146149149148148151152152149150152153154160161164168169173171174173176178179175179180179179178173174173172171172168169167168170166169168166166165164164163163164164165166161163162163164166166165165165168167169169166169166166171171170172174176177178177178178178179179177178178177175174173173172171170170173172172172174176175176175174173172172172171172175178179180182182183 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196196198198197197196196196196195195193193194192188187999999999186186186187187187188188188188188188189189189189189189190189189189189190191192193194194194194193193193194194194193194193194194194194195197198198198197197197201201202202203205206209211214215217216214212211999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155156155155153150147145142142143144143144145149152152151150151151156159158159161164167167166168168169167167167168167167166166164164161160159156155158150147145147145149151151153156164166167162162152152158157155153152153162162162167166170172172167163166163165164159156158152156158163163158163167171178182182180184186187189189187188186189189190186188185178183183182181178176174173172170170171170170172171170170168172173169174176172178178177175176174173173173169169170170169169166168167166163162161161160162159162163163163164162161162164164163164165165166165163160159158156155154154153154156157158159160161162163163166166166166163160154150149149148148147146146146147143143148149145146147146148150151151151148149150151150151150149149150153155154154154154158161168167165170171171174175178177177178178178180178179178175174172172175169170170169170166166165166166168168170168169170171165170165163165164163164165166166166167167166167166169169166169169172171173175176178178178180179180180180178178178177180179175174173171171170172171172175175176176175175174174172173172172176177180180181182184184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195194999999999195197198197197196195195195195195194195194193193192190189187187187187188189190189189189188189189189189190190190190190189189189189189189190192193193194195194195195194195194195194194193193193193193195197198199198198197197199201201201202203204208210211214216217216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163159158159159159155153150148148148145145147148149153156155154152150152156161161163165167169170168168165165166166166166165167165167164165164165164162160158157154154148149150152153158163167170163160160156156159163159159160158161162160166170171173178175175169162161169166162163156161167163168168171177178181183183183187188188189185189186189188190188193194191192187185186185180176177172173170172170170167167172173171170169173172174177175176180172172175172173175174170171171169170169167168167167166160161161161164159159161163163164163164163163165165164166165167169165162162159158156155154155155158159159161163163167166167170168169167166164156151148149149148148148148148148148147147150148148146147147149151152150150152152151153152152152153152153155156158160161165166171174172170173174176175178177177177178179178178177177177175174171174174170171166167167166168172172168169173173173173171171171165166170164166165164166166167167168168169168169168167168169171170173174178179179180180180180181181180180179180179179176176176173171170172172175176175175177177177175174173174175177179179180180181183183184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195199199199197197197197196195194193193193193193193192191191192192190189188189188190190190190189189189189189189190190190190190190190189189189189190191192193193194195195195195195195194194194193193193193194194196198198198198198198198201202201202203205207209211213214216217999999999999999999197197199999999999999999999999192192192191190999999999999999999999999999999999999999999999999161165165166165165163158155153153154152148146148150152155157157156156153155159162163166168168168169165168168168168169169170169169167167168167166167166165164162162157157155158151156157160168162167166161161162161159159162161164161164162166168171172172175174180178178172176177172170170170173176178179179182176182187184187188189187190187189190188188187185190191191195193192188189185183182181179174173176174173173175175173176178177176175178177178179178175176175177175174171168168166171169169169169169166159163161165164161159163163164164166167165166167165167167168172169165163161158157157156155155157160162164163165167168167167171172171168168165159153150150150151149149150149148149148147150149150146150153153151152151152152152153155154156156155155160162161162168166165166172175173172173173175177178178178178177179179178177177176175174174173174170170167167168170173174171174173172173172175173174173173173173169168166167167168169171169167169169167168169168168171172172175177178179181179180181181182181180181179178180180180178174172172173173175176176175175176177176176176176176178180179180180182182183184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199198199199198197196196195194192192192192192191191191192192191191191191190190190190191191190189189189189189189189190191191190190190189189190190191192192193193195195195195196195195195194194193194194194194196197198199199199199199201202203202202203205208209212214215216216213999999999999999199199199198999999999999193192193193193193191190192999999999999999999999999999999999999999165162163163165165166165165170162157158157154152152153156158158158159157156159162166168169168167166168167168169171169167166170168170168169170170169168163164166165165161161158157156157159164167168168167165163163165162164165168170164167165170172171170176178176182182180175179178178177176179181180179181181181183185187186187187185187187188189188190187183184186184189189190195194192191188184182181184179176177177175176179174180182176179178181180178178180179178176176175175172168170170170168169168168166167166163164165164164162164163163165168171165165169170166166168173170165162159158159158157156157160161161167169170170167169170169171169168168166163156150148149150151150150151151151150151150149149149152153152152150151154154154154157156158158162164165168171170168166165173172174175172175174176177177178177179178179179177176176177174175175172171170169166169171173171174172174173174173175176177178175176174173174173171169171168168171169169169170168168168169169171171173175177180181182181182183183181182181180180179179180180179176175174174175177177177177176176177176175177177177179180179181181181182184185 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200199198198197196195195195193191191191191191191190191191192192191191191191192192192192191191190190189188189189189190191192191191190190190191192192193192192193194195195196196196196196195195195195195195194196197197198198199199199200201202201201202204206209213214215215216216999999999999999199199199200198197999196195193194193193193192193195194193192999999999999999999999999999999999166162164165169170170167168166166162163161160157158158158159158158159161162165167170173170168170170170170169169169170169168171168169168169169171170169167165165165165163161160156159160165167171169168168167170167171174171166169164166169176171171178176169180174183182183182180180180181182184182181183184185185186185189186188189184185185187191187188189184192190191192192190192197195198190188185187186184183179182183182181184184183181180181185184184183183181178178179177179176176174173170170167171167170167167170167166165164164165166166165166167170170173172171166170173170167163162161159158160159158162163166169169171171171170171171169166168169167165159154149149150150152152152152152151151153153154153152153157154155155154155155158165159159165164166168171172172172172171177176178179174176175177175178178179178177177176176176174174174174173172171170170170174173173171172174174174175175175178181179175174173174174175171171174170169172169169172170170169169167170170172175177179180181180181182182184184182182182181181183181180179179176175175174178179179177178176178178176177177178181181180181182181181185185 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200200200199199198196196195194193192190190190189190191191190190191192192191191191191192192192193193193192190190189189189190191192192192191191192193194194193192192191192194196196196196196197197196196195196195195195195197198198199198198199199200201201202203207209212216216214213217219999999999999999199199200198198199198196197194194195194195194194195193192192192191191999999999999999999999173167166168169171170170169169169167165165164163160162162162163164163164166168167171172171172172173173172170170171169170170170170170168169169170170171170169167166166165164163159159162165167172172170171174172171175172170173169167166167174178176178180179179173179176184179180181184184184183182184185188185186185185188185186188187186189183184183184188188190189189190193194195194195199198197193185185184184185183183186184185186184187184184185189188188188188182188182178180180178176175175176171170172169169168170169169170168168168168168167170172169168171173176175175173171173169166163162161162160162162165166171172172172172173173174174172167167167166168159157155153153152152153153152153155156155153154153153153159160159158157160159160161165164168170171170172173174172175176177179180179178174173174174176176177177178178178178173174173174173172172172169170173175171170171171170175176176174176179181177175175173172174173175172176176173172171170172170170170169171170170175177178180180179180181183184183183184183184181183182182180179177176177177177177179178178178178180179177178178179179181182182182182183185183 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201201200199200199197196195194194192191190190190190189190190190190190190190190190190190191192193193193193193192191191190189189190191192192193192192193195195194193191191190191194195196197196197198197197197195196196196196196198198198199199199199199198199200202205210211214217216999218219218219999999999999999999198198196198198196197195194194195195194194195193193196194192192192190999999999999999166166167171171173174172172173172170168167177165164162166163165166168169171167172173171173173167171173171171170169169170170169169168165166168170170171170169169168168169164165159162166168174175175174174178173174176177179181181181180177179174176177178180176176178176179183183185183187187182183183187186187187185185191188188184183188185186182185190186190191190192193195196199199199199198199195193191187186186186187184185183185191189190193189193192190191191193193189184182182179177179179178175174174170170170171170172171171169169167168171172172171169171172177178179172171176173166161163167164165164163167170171173173173173173173175175174169165164165167165163169159157156154154155155156156156156158156156157164171165162162161158166165169169167171172174172173174175175173177179179179178176176174172177179177176177177177175174173171175174173174173172167173175173171171170170170174176177177177183185182177175176176173174174177176176175177175171172172174173173172170172176178180180180181182183183183183184183183183182182181181180181180176177177177177177178178177179178178179178179179180181182181182183184186187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202202200199199198197195195194194193193193193192192191191190190191190190190189189190190190191193193193192192192192192191190189189190191193194194194194195197196194194192191192192193195198198197197197198197196197198197197197198198198198198199199198198198198200205209213215216218218217217219219220220220999999999999999999999197197197197196195195195195195196195195197197198198197197195194193191999999166168168169172174176173176175174172170169172168163165164165164168170171171174175175173172171172171173172172171171170171170169167166164166167169170171170170175172168171168165164165171172176177175176178178179176179179180181184184184185184183182184182183182181181184183183182180180180188186187184192188186186184188188188187186185179182186185188188188190191191188193198199200200201202202196200199195192187188188188187187186188191193192192192194194193195194196195193189188186184180180183183182178182176175173175170171172174171170169170172173174175170172177179184181178175178173168166167170169166165165168171171172174173173173173176176175172168165165168168170168169160158158159160161164167166169166165172170176177174172170170166169169168169171172173172176173172176176174176181183182179177174175171176178178176177176177176176174175176175173173171170172173172169170171170171171172176178179178183183181181179178179178178178177179182180175173173174174175178176172172175178181181181179181180184184182182183183183181183183182182181182180178177177177177176177177178178177179179180180180180183183183185186189190191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202202200198198197196195195195195195195196197198196194193192192191190189189189190190191191192193194193193193192191192192191190189189190193194194195195196197197196195195193192191192194195197197198198199198197197198198198197199198198197197198198198197197197199202209212215218218219219219218218221222222220999999999999999999999999195195196196196197200198198198198198199199199200201200197195194193191183171168168169171175177177176175176175173170170168166165167167168169173174175176178177177175170174174175174173173171171170169168167165165167169170168169169172174173169169170167166168172174175176176176177178177179178182183187185190188189188189188188185181181181182181184184180179180181187185185189190192191189191185184183185183185185184188190192193192191192191193199200196199200202201205203200203200196189187190188190191191192192192194195197194195196195199198199195192193194194192191186190191189187185185179180178177172175171173171171173174177178177179180184184185187182179175168169171173171169169168170170171171173173172173174175177176173172169167169170171169171172167161169174173173176178176176175179181185179178175174176173173171170170173173178174177178176178174175179179180182181177177174173173176174175174179180175175173172174173173172170171176169167169171171171171171171173176179179183187182181180178179182180178177181182180179174176174175176175175174175177182183181180182183182184184185180181183184182182182181181182180180180179179179178177176176177179180181182182182180180183183184186186190191192 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203203203201198197197197199201201201201201201200200199196194193192191191190190192193193193193194194194193193193192192192192191190189190191192193195196197197197197197197196195193193192194195196197198198198198197198198196197197197197198197196197197198196196198202208211215218220219222223222222221221223222219999999999999999999999999999999999197199200203203202201203205204204203202201201201199196195196189177171169170173177178178178177179176174172170168168168168168171173174175176179182181182182180178179183180175173173172171171170170169167167169170170169172175176173173173176173171171172174178177178180178181181182181185187191193194196198195194195196194193192189185182189191190186190190190189190192188191193193188186189190189191187190195197195196195195191196195196196199200199200202207206205205204202199193192189188189192192191194195198199199199200199200202202202200196196197198198196193194194195192189189189190182183175177173174172174177177178181185183182185185185188186184181176172173172173171173171171173174173173173173173173174178178178177175174173171174177180180179176178179181179180176177178181177182191187185181181181175175175171175177178181180176178177176174179181182182180183175174173172174175173175178175176175175175176175173174172169172172168170171172172171172171170174176179182184186186183182181181183180181180182182180180183174174174174173174177177179180183181183182185186185184184181182182182183183182182183183182183183180180180179178177177178180181182182182182181181182184186187188190193191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203203204203202200200201202203204203203203202203201200199196194194193192192192193195195194194196196196195194194193193192192192191191191191191191192194197197197197197197197197196195195193194195196197198198198198198197197197196196196198199197197197197197198197200205210213217219221222223224223223223223222221220999999999999999216220999999999209207208210209209209206207209206207206205204204203201198198200195188173171172175178180179181178179177176175172171170171173173174175173177178181184185186185182179183186185181180174172171173173170169169169170170174173175178175177171173171174171175175176176175179180183182184187186187192194196197198200198197202201198197197195194193190190190189190195191191190192192186188190188187194191189191191195197200198198200195196198200197200201201203201204207206204204202202201198192190187189191192194195195198201200201200202202203205206205202201201200206200201199198197197192195194195189191192181174177180179178179182185184183184185188190191190188185183180175175173173174174172173174173174173173174174174177178179179179181180177179180183185183179182182180183180177181179185180181192194188184180181177179185179178175179177181178178177180180182180182180178182181178175177176175175175176176176176174175175174175175171170171173170171173172173173174172173173176179182184186187186183182181180179181180179179178181181177175175175176176175177178177180183183184185185184186186184182183184185182182181183183182182182182181181180180179178181182184183182181182182182183184186187188190192193 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204204204204204203203204205205205206205204203202201201199197195194195194194194196196196196196196198197196196195194194193192192192192192191191190190191193195197197197197198198198197196195195195196197198199198199198198198197196195196197198198198198197197198198198199206209214217219221223224224224225224224223222999999999999214215217221224223221219218217215215214211208206208206205205205204204205203200199199193187176175176179181181181181182181178175176173173172170171173172174178176179182183185184187185182184187188184182178178174172171171170169170171171178175177179178176175173175174174177176180181183180181184186188191192192193200201202203204201204205205204204203202204202195194189187188192192192195194197197194195189188189193193194194195197200197197201197197200198201203201204207206204204205205204203201201200196194191189190193196197199200202202203203206206206207207208206205209208207209205202203200200198200198196197195192188198186190191190185186185184186184183186192193191190191190189183180179180179177174173173174175174173174173173174179180180180181181180180182183183181180182179180183186185180178186185182186188186189186189188189191189183181181179181182179177179180179179181181188182178181177183179179177177179178177176176176176176177175173170170172170171172173174173173172173172175178181182185187186184182181181182180180180180182182178178178177176176176177177179179179180184184185185185186188187186185185184183183182184184184183184183182182183182181183183184186185184184183183182183184187187187190192194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204205204204204203205206206205205205205204202202201199197195195195196196195196197197197197197198198198197197196195194193192193194196196196194191191192193194196196196197198198198198196195195196196197197198198197199198199198198197196198198198197198197197198198198200208212214217219220222223224225226225225224223999999999999218220224226225220218216215214213213211207207205206204203204205203203204203202201198191184179179180181182181181183183183182182177178176173170170170172176179178177180180183184187182180182187185185183182181176174173172170168169171172171173172176177175172173174173174175176181180183185188191191192195196198200203205205205206206205209210207207208204208208205198197194192192193191193192196197193193191196197194195193195195197201197200202197197194198202204201203208205205204203204203200200202202200198194192188193197198199201205202205206207207208209210209208209210210210210209207206204202203204200199201206204198206196197194193190188192189187185185188190192193192193192191190186185184184181180177176176175174173174173176175177179180180180180180181181184183180179178183186187185177190190188186181188188190193192195193191188186184183182183180181183182183181179186182182179180179186182181182181180182180180178176177175177179177175174171169171170170172172172171171172171174176179181182184187188189186183182180181180180180179180179180180179177177176179180179179179180181182183186187187188187188186186184184185184186184184185185183184184185183183185186187187187185184183183183183186186187189190190194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204205205205205204205206206205204204204203202200199198196196196196196195195196197197198198198199198198197197197196195195195194196198199201200197194193194194196196196196198198199198197195195195195194195196197197199199199199198198196198197199197196197197197197198202208212214216218220222223224225226226226226226226999999223226226228225225999999999212211210208205203203203202203203202203206201203203202201198192186180182182183187184185185186185185184182189188186174171173179179179179177179178178182185182182183183184187187187183185183178175172169168170174168178179176176177177176177180181179186187190188191194197197200200200203205208208208208208209212211212213214214211206205205203201201203202199198198197197199198198200197194199200196195197200200202202199200198198200199200204203205208205204202204202202202202203203200197195192194197200201203204205206207209210209210210211213210211213213212213214211210208207208207208205208212209206201202207197194190191189187187187187188191195196196194195195191190190189188187185181180178176175174173174174175179180182181180180180181182181179179179181181183189184188180205207205197193192191199198198201193189195188188188181180180181182180179182181180186186183183182184183185188185187183181180178178178178176176175172171171171172173171172170172173172174175178180183186188189188190187189185183183183184185179182179178178180178178179180178179180180181183184187188190188190189190188189187188189189186188188187188184188186184184186188186186187186185184183183185186185187190189193196 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206207206205206206206207207205204204203202201199198198198197197196194194194194195196197198198197197197197197196195195195197199200201203203202197194194195196196196197198199200200196197196196196195196196196197198199200200199199198197197197197196197197197197199203208212214216218220221223225226227227227226228228228229230228228227226999999999999999999205205205203204204202204203203204202202202205201200198192185182184186185186186188187187186185185185186185184183181177176175177180179179178178181185185183184183186190189189188187185186185180177177175176173179185177175178178178181179183185189192196194194198202204203205205207208210212211213214214214215216217216217214214212210209208207210212212209209208208206206206206201203204204201201197195199199202202201199199198198202204207207209205203203203203203201201203203204202198197197198199201204204207208209209210211211212210212213215216215215218216216215214213212213214210211209206207209204207201197202195195191190192188191190192195194192193192192191189190190189188189190188183179176173173174175176181182181181180181180179178178178181184191192191190198202199199204205196191194201198198196196192196191187188183178181183182183183183182183185185186186185185187190188185187188189185185182180178178177173172172173172169172170173172172173172174174178182184188188190189189191190190186183182185185186182180178180181182182181181178178180180182183186188189190190191189190190190189188188191192193194193190193192191188188187188187187187187190186185185185186186189191193195196 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206207207206206207207207209209209207205204203201200199198199198197197197197197197197196195196197197197198198197197196196196199199200203204204204200196196196198199199200201201200199198197196197197198198198197197197198199199199199199198197197197197197197197198200204209212214214217219221223225227227228228229230231232234230226227227227999999999999999999205205203202204202203205205204204204202202202202199198191185185186186187187188189188189189189189189189190188187187185180180178182183181182180179180184184183185189187186189190189190190190187188185192190187186190189186186185186186186188192190196199202200201203207208209210210212213216216217217216216218218219221220217218218214215215217213213212212212210209213213213206202209207205204203202200196197199197198197198202203204204209211211207205203203203203203203205204202205199196197196201202204205208210210209210211212212212214215217220220220218221219218219220218215211211212211205209211208201199202198197197194195195192198194194193192192191193192191191189189189189188189188186184182179176174174178177181181181180180180179179178183185185193186201191197207205208206203203199197198203203200194196202194193188187187182184181183183183183183185186185188188190191186189189189192190187188185184182181179175171172171172173172172172172173172173174175177181184185188191186189189192190191187184185185185182183183184185181182182181179178179180181183185187190192194193193193194192192191190189192194195195194195195196194193189189188188188189189189189185186188188190191192195196 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206206206206206207208209209209209207204203203202201199199200199198199200199199197197197197196197197198198197197198198198198200200200203205205204203201202204204203204204203203203201199198197199198200200200198197197198199199199199199199199197197198197197196198202204210213215215217219220225226227228230231232233235234235999999999999224218218218217217999204205202200203202204205206204204202201202202200199195189186187187187188188189190191193192192193192193193194194190189187184184186184183181180180180182185185181186181183186186188186192188194193195195195201201199198199196196195192193194196196200202205205208208211214213212215215215216216217218217218219219225225224222223224222223223220218220218216214216217215212212214210209209206203205203204201196197196205204203204206206207209210210207205204202204203202203206205202202199200201203203204206207210211212212212210212213211215216218221222224222226223219220221220217212213215211206209207207206202201199198197198198197197200201199198197198193193192194192192190192191190190190188187187183179178176176178180183182181182182181179180184194188187199201206205199202213206214208205200204205204206206200197198195194190189186181182183183183182184185186185188189188189190193194191189190189188195188186184179177174172172171173175173172172171173174174176177180185186188186188189190192190192193189186187185184185184184184184184182180180180181180183183186188191194194194196195194194195195193194193196196196197198196197195193192190193192193190190191192190190189189190191191195196 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207207207207207208209209209209209207205204203203202200200200200200200199198195193192192194196197197197197197198199199200199200200201202204206206206206207207206207208208207206204203201199199200201202201200198198199199200200201200199200199199198198198197197199202205209213215215216218221224226229228231233233234235235234999999999999221220217217216211999204201201200201202204205206202201203202202201200197192190187188188189189190191193194196196195196196196196196195195191191192190195188185184180181182180181181182183183185182183187191190193196195197198198201200200202209210210212211209206205204206207207208209212213215216215218217218219219219218219219220225227225226226226226225220224223215222221220220215215213216216215216215214212214214208214207210208205206199201207209209210209210209205205204204203202203203205205204202201202203205205206208208210211212213213212212212213220219223224225225223227222222222223221220217215216211208207208207206204201202200202201200200198199201201200200200199199196196197195194195195195194192192191188187183181181180180180183183183183183181181185193189189194205207207203209207218212212206208206208208205205201200198202200199195190188185182182182184184184185187189189188188189189192193194190192193192196192190188182178179174177172171172172171173174175174177178179181183185186187188190193192193195194193194189188186186186189186187185183181181181182183183183185189192194195195195197197194194196196196199199199198199198198199197196198192195194190191192191190192192191191190191193194194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206207208208209209210209209209208207205204203204203202202201202202200198196193190190191192194196197198197198198200200201201201200200202203205205206206208207208209210211211209207205203201201201202202201201200199200200200199200199200200200199198198198197198199202205208211213214215216219224227229230232234235234234234233999999999999222221999217214999999205203201200200201203203203201201201200201200198192190190189188189189189192192194195198199200199199199198197197196195201198196197195188186183185184184180182183182182185186186188191192194197197199201201202203204209213215214215218220219218215215216215213215217218218218218220220218220220219220221221221226227228228226227228225224225225226225224222223223221221221222220220221220219217215212213211215213214210209205206213212212208212211209205206205203202202203204205206204205203205206206207207208208211210211213211212212213215221226225226227226221222222225224222221221220220215210214212211208208206206208206204205205201202204199203202202202202203203202200199199198199198198197195193190187185186182182180181184184184184183184190190193195200211205205213207207219214214210213209207205206204203204200201201201198195189187187185184184184184186186189188189190193194192197196194196196196194194195192191187185183181177174174176175175175179178179180182182184185186188189192196196195194196195196194194191189189189189189186185183184184184185185185186190194195199196197200201202200199199201203202202201202199202202199198198197196196196192192194195194196194192192194193194194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237236236235233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207208209210211210210209208208207206205204203204204204203203202201199197194194190191191192194196197198198199200201201200201201200201203204205206206208210211212213213213212211209208206203203202203203202201201200200199200200200199200200200199198198198197198199201205208210211214216217220224227229231232236235233233233233999999999999999999999999999999999205205203202199199200202202203201199199198197196192195195188190188189189192194196198202203204206205205203199198197197198202200197196195195193188185181185184187187186187190192193192193193198199201202206208212212213217220221223225224226225224225225224222221219222222223225225225220220220222222221222226228228230231229229230224229225226226225229229229230217219224224224220219224220224218221215219217211217212212213209212215212216210213209211210208207208205207206204205205208206207207207210207208207209209211213213214215215216219225226229227227225224221225224223223222221219218215215213213210210209208212211208207205203203204205205206207207210210209208207208207206204202199197196197195191190190188186183183183184185184185184188189200197210209208213211209208211209212212211209208206207208206205199200201201199201192189187187188187186187189190188191192193196197198198197197198198198199198194193193191189185184182180180180178179179182181181182183183184187188190191194197198197196197198197196196194193191191191192190188186186186187186187187189191197198201201204204204204202202203204203203204203203201202200200200200199199199199196196194195197197196196196194194194194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239238239238237235231230233233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205205206207209210212213213212209208207207206205204204204203202201200200199198196193193192193194196197197197197198198199200200200200201202204206206207208210212213214215215215214213211211210209207206205202203203201200200201200201200201201201200200198198197197197197198200204208209211213216218221224228230231234235235233999999999999999999999999999999999999999999203205205204201199199200201200199199198196196195193195189196188190189190192196199201205205205207208205204201202198197196203201199197199198196192185181182188190188188190193197201196195196200203205205207212213216219220223225227228229230229229230230228227227226225224226227227226222221222222225225225226229230230232230229227229231230226224226226226230232232221223226230227224222223224221220225218218225220219221220216216217215214216212209211212209209209207208209208209210209210209208208209209209210211211213214215215215215216221227227230227227226226227225225224223223222221220217214213210211212213213213212212210210210211211211214215214214216214212214213213214213212210208202199200198197195193192191189186184186185186186188192194200203204210211213213211209207206208210210208202203202204205204201200200202201199199193187190191190189188191190190192194195198198197200200200199199198197197198194193192190187187187181185185181180180180180182183183184185188190191193195197200199198199198198197197196198197194193191190189188188189189191190192192195199203202204206206205205205204206206206206206204203204205202204202202202201200197200198195194196199197196197197196195196 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241241241241239238236234234234234235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206207207207208209210211212213214213211209208207206206205205204201199198197198198198196193194194195196197198198197196197198199199202203204205206207207208209212214215216216218218218216215213213212211209206205204203203202200201203203203203203202202201200199198197196197197197200204207209211214218221223226229231232234236235999999999999999999999999999999999999999999999203204206204203199197198199200199199198194194191191192190197196192191193197202202204208207209209207206204203202199198198201203201200202201200189184183185189192192192194198199199197199202208210209210214215217220222223224227228230232233234234234234232234233228229228228229229227223222223222223226227227229230232232231229229230231230229230230229229231230229229229232233233227225226231226226228225223223222218219221219220218214218219213210209211211210209211212210209210209210209211210210212213212216214214215215215217215214216223225229232228226225227227228228226225223223221219216214211210210213214215215215216213214214217219220222223224222219219218217218218217217216215215212207203199201201198195195194192189187186186189190195199199204209212212213212212211209208209211207206205203202202204203203202200201201200200196199195193193191191189191191191196197198198200200200201201199198201202199196195192193189191190190189190187186186184183185184185184186189190191193195197199199200199201197196197197198197196195193191190190190191190191192193195203203204206205206206205205206206205206205204207207206207205204204205202199199198198196198195197200198199198198198194196199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242241243243243241240238237236236235236235235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207208209209210210211211212212212213213211209208207207208206204201198196195197198198196194195195196197198198198197198199199200201202204206209209209210212215216217218218219219219220219218216215213210208208206206204202202203205206208208208207206205202201200198197198198199201204205208211214219222223224227229232233234236235236999999999999999999999999999999999999999999999999202203203200198196197199199198197197191191191191190198197198200203207202204204205205209210209209207205204199200202206202199203203204200192186187188194196195203203205203207205208210215213214216217219222225226228230232234236237237239239239238236237234234234231229227228229225223223221225225224227228230233232232230230231232233228227229228232232230226230235228226230230228231232230227228223220222218218218220222220217216217215213211209211212211210212213215215213211211211212214214217218219218218217216216215217215215216224224229233229228228228229229228227226224224222220219216214213213213214215216216218218221224221225224225228224224220221222220221219218219218216217216214210206205203203199198197198195192191191193196198200201206210215213212212210211212209211210208206208206204205204202202203202200202203200198200200198193192193190191192195197198200200200199201203201201200201202199199198195193195193192193194193192191190190187187186187187187189191192193195197198200201201199198197197198199198196196194195194189191191191192194195198204203203205206206205205206205206204207205206206206207206204203204204201199198199198198199199201201200202200200199198200202 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241241241242242243242241240239238238238239237235239999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209208208209210210211211211212212211211213214213212211210211211209206202199197197197198196195196196199202202202201200199202203203205205206207208209210211213215217217219220219221221221221221220218217213211210208207205205205205205207208209209207206206205203201200199199200201203205207208212215219222224226227228231233234235237238237999999999999999999999999999999999999999999999999999202202201199198196196196196197196192191192191190193198201205207208201201203205205208209210209207205205206208205206205203203203206200195195194193196199200206206206206208209211213216216218218222224226228231234236239239240240241240240240239238239237234234234232230233229228223224224225225225226226228231233236234233233234235231227232230235235231230230231228231225229232231231232231230229224222223224223227227222222221215217217208211212215214214215214215215214214215219219221221221221221220220218217217215216215215216221229233231229228228228229229230227226224222224222220218217215214214215217217218223224226225225225225226225226223226224222222222222221220222218218216215215213209204202202201199199200199200199198200200203204210215217216213212212214213210212210208207205205207204203205202200202201204200201198198199195196194192190195196197196198200200201201201201202201203203202201200199197196196196196195196195194194194193192190189189189188189190192193194198199200201201199196196197198199197199196195194191195194193194195196199203205203205205206206207207207208207207208208208207206206207206207204203202201200200200200200199202201201201202202203204203204 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241241240240241242242242241240239239240240241239999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211210209209209210210211211212212211210210211212213213213212212213213211207203201200199199199199199200203206207206205204201201204206208210210210210210210211212215217218219220221222222221221221221220217216213211209208207207209209208208210210210209206204203203202201200201202203204205206208211216219222225227228229230232234235236237238238999999999999999999999999999999999999999999999999999999202201201199197195195196196196194192190188195194202204207208204202200200203205208210209208208207210207208208207208206203205204201195197197195196201203201202203206208211213216219221224222226229232236240241242243242242243243242242242240240239239238236235236232233231229225225225225225227227225229230232233236234236236232237234233231233232229229227230230231232232231230231230231231231230228227225226228224226223215217220218215213213216216218219222222223224224225226225224224224223222222221219218218218216214215216220229235234230229229229229230232228226226226224222221219219218216217218218220224227228227229229225225227227227226224223222224223223222221221219218218218219215213209205203204203201201200201203205206204205207211218219218215213212213215214211207210206206206205205207208201204201203203201200199200198199196196194194196194195196198200199201201201202203201208204202201200201199198198202198200196196197196195196195194193192190190189191193194194196199201202201200197197199198198198198196195195194194194194196198200202206205205206205205209210209210210210210211209209208208206209207206207204203203201203202202201201202202204209205206206207208209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240239237236237239241242241241241240240241239238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211211210210210211211211211212212212211210210211212212214214213213213212212209205203202203202203203204205207209210209207206205205207209211212213213212212212211213217218218220221221223223221220219220219217215212211208207208208210210210213212213212211207203202202202201201202203205206206207211215219223224227229230231232233234236239239240237999999999999999999999999999999999999999999999999999999203201201200199197196198197193191190190189191199202201203207206203202202204206205207209210209208210210210209210210208206206205202196197200194193198199199200204207210216218221224224225228231236240242244245245246246245245243244244243241241241240240240237237236235234230226224225225226225227227227229231232236237237237236237238238239237235234232232232232232235233231231232232233233232231230230229226226226228226220221217217217218220221222222224224225226226226227226226227227227225226224224223222219219218217217218223232236234230229229230232233229231227225226224224223221222221219220220222223227229229228229229226227228229226227225223224225222223223222220221219217217217217215211212207205205201202203203205207207208208210215222221217215214215214211211210209209210207207205208207206204202202205203202202201201201200194196195197197197198196199201199202202204203204203203203204203200203201199200200199198198198198196196196197195195193192192192194194195197197199203204199199198199199199197198196197196196196197197198199200201204206205205208205207209210211212215213213212209208211211210211210208208206204205203202204202202202202203205206208210210210212215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243240239236234233234236239241241241241241240238237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212212211211211211211211211211211211210210210211212212213213213212212212212212211206204204204204204205206208209210211212212211211211212212213214214214213212213212215218219220220221222223222221219219219218216214211209207207208209211212214215216215215214210204203203203203204205206206207209210213218222225226228229231231233234235236240239238237999999999999999999999999999999999999999999999999999999999203202201199196196197196193191190189190191196203206208207208209208209207207206207208208210211212213213211212211207208208208202201200197194198198198197202207209217222224226226226229234238242244245245245247247248247247247245245243242241242241242241239237236237235232228226225225226227228227226228232234237238239235237238237238239241240237237234233232233240230233227233235233233233232230229231227231229228218219223219221221222222223224224224224225226226227230230231230232232231229228227228227225223221221220221226235238235230228231229228230225232227226224225225223222224222222222222223226228228228228229232229232229229228228226224223223222223224223222219221218218216216214213213208207205206204205205205209210209212218216221220218216215215213212216213211209209209206208207208207203201203206205202202202201201201196198196197197197196197200201203201203206204204204203204203204203203202201201201201199200201199197197196197198197196194193194196197196197198200200203200199200200200198198200199196196197196197198200201202202205206207208208208209209209211213214216215213209212214212210210210209209207207205205204204204204205205206207210215216213215220220 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246246246245245240236233231231232234237239240241241241238235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216216215213212212212212212211211211210210210210210211211212212212213212212212212211211211209207206207208209209210211211211212213213213213213214214215215215214214213213213215217219220220222223223223221220219218217215213210209208209211211211214215217218217217216214210205203205205207208208209209210212216220224226228229230232232233235236238239238238239999999999999999999999999999999999999999999999999999999999203202201200196194197196193193192190194199201205205207205205206207210210209209213210209210212212213213212213210210211211209204205200202200201202203205209215221222224226227227231235239243243244246247248250251251250249249247246245244242241242242240241239239237237235231227226226227227227228227228231233231238238238237237238235239243239238238239232231231237235233233231231233230230226231231232234232232226220222222222223223224223224224224224226227227225230232230236237237237235234232230229228227225225224223224229237238236234231228230228226224231228225225225224225224224223225226224227228231231229229230233234232231228227225224223223224225226224222221221219219219218216216215216211211209209208206207208209211210215220220223220218216214213212211210209208208208207207209209207207204203203204205205203203202201198196195198197197197199199199201203202204204205207204203204204203204203201201201200199200200200199199196197196196197197198194195196197198197200205204202200201202201200199199198198197197198197199200203204204206207207209208208208211211213215216216213212213211212212212211210212211210209209207206205204204206207208211213216216217217217221221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247247246247247245244240234231230230230231233236238240240239237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220220219218217217215214213212212212211211211211212211210210210210212212212212212211212212211210210209209209210211212213214215215215215215214214214214214214215216217216215214214214214215218219219221221221222223223221220218217214212211210209211212212214214216219219219219218217214210206207208208209208210210212214218223225229230231232232233233234237239239238999999999999999999999999999999999999999999999999999999999999999999203200200198193195196196194193193194200203205202203201201204206209211212213215214214214213212213213214215212212214212210207204203203204205206207210219222224224226227228231235240244246246248249250251250250252252251251249247246245242242243243242243241240240238237234231227227227227227227226226232232235237237237237238239239242244242241238240240238233238237239236231231233231231233236234235235233234228229226224224225226226226226226226227229228227227233237237240241240237240237237235233230229229228226226228230238237236232231230230231230229228227226226226227227228227226227229229230232232233231231232232233233228227224223224224221223223225224221221221222219220219217218216216215212211208208209209210211210212217219221222219217215213212211210209210208206207207206204206207206205204204204203204203201201200199197197199197198197198201203201202203203205205204204204203203202203203202202201200201200201200198199199197197197197197197196197197197199200205205204202201199200200200200199196196197197198200201200203205206206208208209209208211211213214215215213214211213211213210210212211210211211211210209205207207206207210211216217219221224223222224222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249249247245246244245244243239234231231231231230230233237239239999999999999999999999999999999999999999999999999999999999999999999999999999999228230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221221220220219219217216214214213212212212212212211212212211211210209209210212211211210209211212211210210211211212213215216217218217217217217217216215215214214215215216217216215215215216215215217218219220221221222223224224222219218215214213212211211212214215215217219221221221222221220216212211211211211212213213215217220226228230231232233234233234235237238239240240239999999999999999999999999999999999999999999999999999999999999202200200200196195195195196195194196199200200201202203202204207208212213212214216218216217214213214215216215215215214211208206205207207209210216219223225226226229231235237241244247248249251251252252251251252251251251251250249246244241242242243243242241241240238237235229229226226228228227228230234236237238239239240239242243244242241239242244244239239244243241240234233234234232231234234232234228227226227227226226227227229227228227228230231232234237240240243244244243243243243242236234234233227229229230236240238236232230230226230232230231229230229231229231231230231230232232232232233233232232234231231229227225224224222222222221220222223221222220221220220219219217217214214213213212210211211210212213215219223225222218216214212212211209210212207206206207206206206205206208206205205204203204204203203202200200201198198198199200202203203203204204205205204204203203203203202202203202201202201201201198200199198197197197197198199198198197198201203206205203202203200201201201198198199200199201203202203203205206207209210209210211213213215216213216213210211212212210209209210210210210211213209207209208207208209213215216220223225226225224229225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248248248246244244244243243242239235233233233232230230232236238999999999999999999999999999999999999999999999999999999234232231230230230231231232230230232232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223223223222221221219216215214213212212212211211211211212212212211210208208208209210210209208210212212211212212212213215216218218218218218218217217216216215214215215216217217216216215215215215215216217218219221222223226226227225223220219217214213212211212214215218220221223224226227227228224221219220220219219220221220225225228230231232232233234234234235236237238239240240239999999999999999999999999999999999999999999999999999999999202200200202197195195196200198198198205203203204204203205208209210213213212214214220218221218218216217217217217219217215211211211214214217221223224225226228230233237241242243246248249251253254253253253253250249249249251250249247246243243242242243243241240239237237236233231225227228228228229231236238239239240241242241241238241244242242244246247243244245244242240234238237236236234237237236231232231232229230229228227227228229229230231231233233236240242242246245243243244245244244243240241237234227230231240241238237231232230230230231227231232233233233232232232231233233232234234234235233233233234234232230227225226225223222221220219221222222223221224223221220219218218217215214214213212213212212214214216219223225223219215213213213211210209210208207208207207206205206206208206205205205204202203203203202199201200199200199199199204201201203203205203204203203204204204202202203202202201203202202201201200199197197197198198199199198198197200202204207206203203202204202200201200200199199200202203203203204206209209211210210210213214215217214213213213212211210210209209213209209210210213212212208209210209209212216217219220224226227227228227226 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249249249246243241241242243242241239238236235234232230230233235236236999999999999999999999999999999999999999999999233235234233232231230231231232232232231232232999236237999999999999999999999999999999999999999999999999999999999999999999999999999999224225225225223221220219216214213212211211211210210210210211212212211210209208208208208209209208210213213212212213212213215218218218218219219219218218217216215215215216218218218216215215215216217217217218218219221222224227228229228227226222220217215213212214215217220222223224225227230231231230229229228227227228227229229230229232232232232233233234234235236237238238239241240240999999999999999999999999999999999999999999999999999999999199199199200200197196197198200200201205202203206204205207210211216219215216217217218218217217218218217218220219219220219216216218221223223224224225225227230234238241243244247247249251252254254254254253254251250248247249251250248247245243243243244244242240240240240238235233229229230230229232235238240242241241242243238244246246246242244248247250248249251247247243242241242241237237239238236233232234236230230231230229229230231230230231231233237239241244246248246244249244246245244243239243240235231230235239237239238234232232231231231233231231233233231232232233233234234234234235234233233234235236234232230226226224224223220221220218220221222223221223223222220219219217216216215216215215215215213215217220220223225222219217214214213213211210210210208206207208206206206208207207205205204204204203203202200198198198198198197200200204204203203205206205206205203204204205202204204201201202203205205202201200199198198199197197198198198198199201204205206206204205204204204203202200200201200202204203204206206207209211212211210211211214217215213212212211211209208210210210208209209211212211212211210209211210212213218220223224226226227228231231232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246248247245241241241242243242241240239237236234231228229233999999999999999999999999999999999999999999999232232232231234233232231230229230230231232233233233233234234235235236999240999999999999999999999999999999999999999999999999999999999999999999999225225224221220220218215213212212211211209208208208208208211211212212211210209208208209210209211214214213212213212213216218218218218219219219218217216215215215216218218219218217216217217217218219218218219220224224228229230229230230228227224220218217215216217219221223223224225228230233234234234235235235234234233233233234233234234234233233234235234236236238238240240242241244999999999999999999999999999999999999999999999999999999999999199199200202199200201203204206207207211209208210208210210219223224221222223222221219219217218221218220219220223224223222223226224225224224225225227230234238241244245248248249251252254256255256255255255254250248247247249250249248246244244243243242242242241241241238238235234233231235235233235238240243240242243244244245247247248248248249252249254252249251249247245244241243243243243238238236234234234233231232232233229230231231233233236235239245245247246248248245244244245246245245243241241238237233237240243240236236234232230231233233231232233234235233232233234235235235235234233233234234236235234231230228225225223221220221219220220222223224223222221222219218216216216217216216216215216216214216220221221223225224220219216215214212211211211210208207207208206206206207207207205204203204203202203201199198198197198197197200200200204199203204208205205206203203205206205205201203203203202202203202201200200200198199200198196198198199201204206206207207205205205203205205202202202202202202204205205207208209210211212211211210213215216218214212211211210209209208209209209208209211209211211212210212213211214217219225224226227228229232232234232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245246245243241241241242242242240240239237234233230228229233999234999999999999999999999999999999999231232234232231230232232230229229228227228229231232232232232235235236235236235235999999999999999999999999999999999999999999999999999999999999999999225225225224220219219217214213212212212211210208208208207207209211212212211210209208208210210209212214215214213212212213216218218218218218218218217216216215214216218218218219218217217217218218219221221220220223227228230230230230229230229229227224222220220217219220221223224225227230233235236238238237238238237237236236236236236235235234234234235235235236237238239240241242243239999999999999999999999999999999999999999999999999999999999199201203202203203204207208210210211213215215216217220218222225226228227225228227227226224222219220220222221224227227227227228228226225226227228229231234236241246249249250251250253254255256255257255255255257253250248249248249250248247246243243243244243242242241242241241238238236235238235234237240241243243243243244245245247249247249251246249252252253253253253250248247245244243244246237239237237235235236236235235234232230231231235238240240241247246248247248246245243243243243244244245243241240241235239247245243240234236234234233232233233233234236236236233232233234236236235234234233236236235235234230228227225225223221220219221220220220223223223222221221220220217217216216216215216216217219218220220222221224227225221219216215214214214214211210208208207207206208207208207208207206204203202203199200199197197199198197197200200200200200202205207206206206205206206208206205204204203203202202203201201200200199199196199197198200199199204205206207208208205206207207205205203204202202203203205206207208209211213212211211212211212216217218215212211211211212211212210210210210211211210213212211212211213212217219221224224225227227228232232232232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246244244242241241241242242242241239239239237234232230229230231232235237239238999999999999999234234233231230233232231230231230229227226225224225227228229229230232233234236237237237238236999999999999999999999999999999999999999999999999999999999999227224225224222220219218215214212212211211211210208208208208208209211211211210209209208209210210210212214216215214212212213216218218218217217217217217216215214215217219220218218217218218219219220221220221221224226229231231230229229229229228229228229227224221220220220220225225227229233236238239239239239238239239238238238237237237236237236234235235236236237238239239240242242243999999999999999999999999999999999999999999999999999999999214205203203203202208210216218222226226228230226230231228228232229232234233238234232231229228226226225223223224225229229230229227227227226228229232234236240244247250252252252253252253254256256257256257255256258257255251251250250250251248247244244244243243243242242242241240242242240238239238237239242243243244243244246246245249247250252251248254252255257254257255252251251250247248247243243239242242241238243238239237236232232235239243244244244245247248248249247248244241245240242247243246245244244243241237245245244240242239237236236236235234233235238237238235233233234236236235234233235236236235234233230229228225224223222221220220220221221223224223222221220221219218218217216218217216216216219221220222222223225229226223219216215215216214213212211209207207209208208208209208207208207205203202201201199197198199200199199199200201201201202202206206207207206206208206207207207204204204203203202202202201202201200200197198198199200200204204206206209208208208208209209209207204205205204204206206208208210211213212215213211211213213217216216215216213211212211210209211211211211211210212212212211212212213215219221223226227226228229231232232233233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247246245243241241242242242242241240239238237235233231229230232233234234235239999999999999999235234234233232228229230230230229229227226226225223223223223224225227229231233235235236236236236999999999999999999999999999999999999999999999999999999999999226225224224223219218217215213211211210211211210209209210210210210211211211209209209209210211210210212214215215214213213213215218218218216216216217216215214215216217219219217218219220219221221220220221221223226228231230230229229229229229229228228228228228224223221221223224227228232235238239239240238238238238238239238238237237237238236235234234236236237237239240239240242243999999999999999999999999999999999999999999999999999999999999210208206205212215220225227232235234235235238237237235233234235235235239238238237236234232233232231229228226225226229230229228228228230228229232235239242246248249251252253253254253254254256257257258257257257259259259256254253253253254251250247246244244243244244243244243243242242242240241240241241243244243245245246247249249250250251250250252254250254257258259258254253252254254250247249249246245245245242241241240240239238242245244247248250248248250249249249248246244246244246246246244242242242244241243245247244245241242240242242238237237236235237240240239236234234235236236235234234236237236235234232231229227226224223223222220220221222222223223222222222220220219218218217218218218217218218221221221223223224227229226225223217216215216214213212211211210210209209209208208208208206205204204203201199199199199199200198199200201202202202202203206208207207207208208206207208212204205203203203204204202202201202200201200201198201201203205207209210210211211210210209209210209207205205205206207207208209211212213213213212212212214215218218215215216213214212211210210210210210210212211211212211213212213215216220221222225228228228230231232231233233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252251251999999999999999250999999249248249248245243242242242242242241240239238236235233231230230231233234235236240999999999999999237236235233232231230230231230229229230230230229228226225221219221222224226229232233233234234235999999999999999999999999999999999999999999999999999999999999999999999223222220219217216215213211210210210211212211210210210211211211211210210210210211211211211211213214215215215214213213214218218218216215215215215214215215216219218219219221221221220221221221221222222225229230230230229229229229229229229229228228228229226224221223223226228231235238239239239237237236237237237238238238237238237237235235233235235237238238239240241243244243999999999999999999999999999999999999999999999999999999999999217214215219222229231234236234235236238240238241239237237238239239240241240239239239240240240239238237233229227227228228229229230230230231232236240244248251251251252253253254254254255255257257258259257258257257259260258257259256255255251252250248244244245244244245244243244246245242243244243242243245245245246245246247249250250251252253252255251252251252255257257255257258259256255251249251248247248248246245245245243239243251249251252252253253253251252251250250244245245248249245243243242244245246241243245247243246245245244244244244240240238240241241241239239236235236237235235235236237237236235234232231229228227226225223223222223223223223222223223222222221219219220220220219220218218219220222222223225226226230231228226225223219216215213212211210210210210210210210208208209208207205203204203204201200199200200200201199200201202203203204204207208211209208209211211211210210208208206206205205205204203203202202202199200198202203203208208208209210211212211213211211209209209206205206208207207208209211212213212212212213211213214216216216216216213214212211211211212212212211213211212213212213214215215216219220221226227228230230231233233234233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253252250999999262254249247248249249248246244242242242242243243242241239238236234232229229228230233235236237999999999999999234235236235234233230231232232231227232232232232231231232229224219219219220224227229229230231232236999999999999999999999999999999999999999999999999999999999999999999999999999221220218216215214212211210210212213213212211211211211211211211211212212212212213213215216217218217216216215215215217219219218216215215215215216216217219221222223223223224223221221223224224224226229230229230229228228229229228229229228229229229228226224223224227230233237239239239237236237237237238238238237237237236237236235235233235236237237238240241243244245243999999999999999999999999999999999999999999999999999999999219218220226224227229230234237235237238240241240241240240237240240241241242240241243242243243243244244240239237232230229231231231232232232234238240245250252252251252252253253253254255256255257258258258258259258258260258259260260259257256254253251250247245245245246247247246246247244244243245245245246248248247248246246247251253254252254255255255255255254254254251252254256257260261256256256253252254250249250250245248248253256257256254254254253252252253251253246250249251250248246245244245244243243242240243246247248246243247245243240247246243241243244243243242241238238238238237235236237238237236236234232231230228228227226226225225225224224225223224224223222221220221221221222221220220221220223224226227226227231231232229228227226221216214214213212212212212212212210209208209208208208206204205206202202201201201201201201202203204204205205208207209212212211211210211212213212209210210208207208207206206205205204203203202200199203204205207208209209209210210210211212212210209209207205205208207208208209210210211211212212211211211214216216215216216215212211211210212211211212213213213214213212212219217215215217220223227227227227232232231232234232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260255251252251249251253247247247248248247246244242243241241242244244242240239237236233231229228225226232999999999999999231232233235236235235235236235236236235233233234235235234233233233231227223221218217220223225225227230232999999999999999999999999999999999999999999999999999999999999999999999999999999999219219218216214213212211211213214214214213213213213213214214214214215216217217218219220220222222221221220219218218219219219218217216215216217218220222224226226226224224223224224225225225224226229230231229228228229229228228228231229229229229229228227226227230233238241241240239237236239237237238236237238237238237237236236235234235235236237237240242244246245999999999999999999999999999999999999999999999999999999999225224221224227227228231235236236237238239240241240246241240241240240242243243243243244246245245246246246244242242239237233233232232232234235237242245249253255252252252253253255253255256256257257258258259259259258259260261260260260260260257256253253251249248246247248249249247248247247247246247248248247249249250250248248250251253253253253254255252255256256253254254254260260263254258263260256257257256254250251252252252252256256258258258256254253253253254254256253253255255253251249245244247248249244242242244245246247246248245244245248248245241247246245245244244242241239239239237236236239240238237236234233232230229228228227226226226225225225224224225225224223222222221222221221221222223223222223225225228227229231232232233228228228225222217215213213214215214211212211210209209208208208205204205205204204202202203203205205206206206206206207209208212212213215214213212212215215216211211211212209209210208207206203202204201201201203205207208208209209210210210209209211213212210209207206206207208207208208210210211212210211212211211211215216215216216213212212211209210211211213212214214214216216214217217216216218220223224224226228232232231230231233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249250251250250250250249246246246246246246245244242241241240241242244244242240238237236233231229229227223999999999999999999232233235236237237238239239239239238238238238238238238237235233232230228227224218214216219220223226230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218218217215214212211213214215215214214215214214215216216217218219220221222223224224224225225224223222221219219219219219219218218219218220222225226227228228226226225225226226227227226227229230231229229228229229229230230231229229229230231231230230231234238240242240239236240239239238237239237237237237238238238237237236234235235237238239241245246247248999999999999999999999999999999999999999999999999999999230228224224225227228231233235237237244238239240241246242242241241241242243244246245246247249249248248247248247245245243241240236234234235238241244246250253255254252252252253255255254255257257258259260258258258261261261262261261261261260259257256254253252251250249250250250249250249249249249249250251251251249249251249248250252253253253253254256253255255256258258258260262267266268267268266263264257256256256255253253253255257259259259259257259258257256254255256257256254253252249250248248246245248245244243244245245244244247250247249250251250251251249248248248248247246244242239238238237237238241239238236235234233232231229229228228228226226226225224225225225224224223222223223222221222223222222224226228229229230233234233234232231231232227227222218216216215215213213212212212211210209208206206205205206205205204205204206207207208207207206208210210214214216216217217217217215214216216215213212214211211212212209209205206205205202203205207208208209209210210212211209209210210211211210206206205207209207207209210210211211211209209211212212213218217217213213213213212208211211212213212214217214216216215218217217219218221220223222227233232231230231232233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251248248249249249249248248247246245246245245244241239239239240241242243241240238237235233231230230230231230233233234233234235235237238238240241241242241240240240240240240240240238235232231230229228225217213214216219222227230233230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219219217216213213214216215215215215215215215216217218218219220222224225226227227227227226226225224223222220219218218219219220220220221223225227228230229229228228228228228229227227228228231230231229228229229229230230231231231231232232232231233235236239240243242239237238240237238238239238238237237237237238237237236235235236237238242243245246247999999999999999999999999999999999999999999999999999999999229225224223226228232233236237238238240239241241242242243242241240243243244245245246247249250251249250248249248248245245246244242241240241242245248251254257256254253254255254255255255256257259259259259260259260261263262262262263262262261260258256255254253252252253252251251251251251251251250251252253252252252250251251248252253253253255255256256257257254259263263266264267268270270270269267260261260255259258255252256255256259260259257259259259259259258258257258257256253252251250250250247246248245244246246244246247248249249249249250251251250251251252250251250250249248247243239237237237237240240239239238236235235234232230229229228227227227227226228227226225226225225226225224223224223224223225228230233235234233232233233233232232231234232230227224224221218218216213214213213212211210208207206205206206206206206206206207208208208208209209210213214218218219218219220220220218217218218219220218215215212211211211211211208208206204206205207206210209210210211211211210209210210212210209207206206207209209207208209210210211210210209210212212213216217216213213212211210210211212213212214217214214216216219220220220219218219221224227231228227228230233232234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248248249248248249249250249249248247246246246246244241238238239240241241242242241239237236234232231231232234234234235236236237238238239239240242243244244244243242241240241241241240240237235234232230227224216213214215219223226231228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219218216215216217216215214215215216216217218218219221223225227228229228228229228228228227225224223221219218218217219220220221222224226228229229230229230230230230230230229228228229231231232231230229231231231231232232232232233233233234235237239241242244243242241238240237237238238237237236239238237238239237238236237237238239242245247247999999999999999999999999999999999999999999999999999999999228231225226226229230235236238238238237239239240240241241241241241242243244244245246248248249249249250250250250250249248249248247246245244245246248252255256257256254254254254254255255257256259258259260260260260260262263264264264263263263262262258258257255255254254254253253252252253253253252254254254254253253252251250250253253254253255256254257258261264265269271269271270270270270271272269258261263260258260260260257255254256260260258259259259260259258258258258257258257253252251249250250250248246245247247245246248252252251251251249250250250252253254255252252251251250250248246242238237237239242242242240239237236236235235233232230230229229229228228228227227227228227227226225224225224224226225228231234235235232231231231231232232231233233232232231229228226225222219218218216216216213211211208207207207206207206206207207209210208209209210213214216217218218220222221222225225222221222221224222222218218219217214213213214214213211208207207208209210210210210210210212212211211211212212210209208207207209209209209210210211210211211212210213214212217219218214214213214213213212211212214215215215215217218216219220223219223223221225226230228229231231232232233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247249248249249249249250249249248246245245245243241238237238239239240240241240239237236234233232231233235236236237237237238239239240240241243244245246245244243242241241240241241240239238236234231228223217214213216217222227238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218219217216217217215215214214215216216217218220222223225227229230231229230229228227227226225224223222220219218221220220221221222225227228228229229230229231230230230230230229228230231230230230230230231232234234232232233234234234235235237239241241242243243241242240239239237238237237237237238238237237238238238237238238239239241245247249999999999999999999999999999999999999999999999999999999999224229227225228230234237236239237238237239241239240241240241241240241243245245246247249250250251251251251251252251250248248249249248247247248249252256258259258256255255255254254255255256257257258259260260261260262262262264264264264264263263262262260260259258257257256256255255250253254256257256256256254254253252253253253252253260256263263259259265265263265268270268268271270266268268268267269268264267259260262262262261259260260259259259259260260260261260260260259259259255254252251250250251249247248247246245245248253254253251253253254255257254257255254253252253252251250250248246242239237240243243242240239237236237237236236234232231229229229229229228229229229228229228227226225226226225226228233235235234234231229229230230231231230231231232231232231230229227224223221220219218214213212211209209208208207208207207208209210209211211211213216218219220220222222223223226226227226227226225225224224223224220217215219218217218216216212211211209210210211211211211213213212212212211212211211209208207207208206207207210210210210211211212213213212212217217217213220215215214213214216213215219218216218220220220222221223222225223225227226225231230231230232234234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247248249249249249249249248248247246245244243242240238237237238239240239239239239238236234233232230232235236236237237237238240240241242243243245246246246245244243243240241241241240239239237235231229225219215215216217222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218218217218217217216214215216216217218220222225227229230231232232231230230228226226225225225223222221221220221221222223223223226227228229230230232230230231231230231230229229229230229230230230231231231233233236236236234235236236237239243241242243244244245242240235238236236236236237237238239238237237237238238239240241240244246247999999999999999999999999999999999999999999999999999999999999220223224227229233236239238239238240238241241241240241240241242243242244245246247248249251251251252253253253252252252250251252251251250250251252255258259260259258256256256255255256257257257259259261260260259260261262263265265265264264264264263263262262261260260259259259258257257255258259258255257256255255253253255256254254259261262261258263266269268268269269271271265270269268267267266266270271266267268267264265266265262262262261261261261261261261260262261263263260260257255254254251250251249248248247249249249248253256253252255256256257258255257254257253253254252252251251249248244240239240242243243241240239238238238238237236235233231231231230230229230230231230229228227225226226226226228231236235235234232231228229230231232232232228230230231231232232232230226226226222221221219215213212210210209209209209209208210211210210211211215217218220221221222225225227230231230232230232230229226226224224222222222223223222222220220220216215214213212212212212211211213215213213213211212211212211210208207207206207209210209210211211213213213214214214214219214215220221220219215215217217217217218218217221222222223221223223225227227224223227230232231231232233234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249255251249249249249247246245245245244243241240238238237238238240241240240240238237235233230229231235237236237237237237239240241242243245245246246246246245244243242241241241241240239238237234232226221218218216219223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218219217218218218217216216217217218219221225229230232233234233233231229228228226225224223227226225223223221221223222221223223226228228228229231231231231231231232231231230229229229229230230230231232233235235235236236235236237238240243243244243244245244243239238239237236235236236237239238238237236234236238239240241242246246248247999999999999999999999999999999999999999999999999226227224999221222226231233236237238238241241241240242240240240241242241242243242244245246248248250250252252252254254253254253253252252252252253252253254256259260260261260259257256256256256256257257259259260258258260260260261262262263265265265265265264265264263263263262262261261261260259260260260259258258258257256255255255255255255256256257259261260270272268269270270269269269267268268269269270267268268269268269269269269269266264265266259261264262262262261261263261262263263261261253259254251252252251250249250251252253246249253254251251256256258258256256256258257254255254253253252252251249245241240242244243243242242241240240239239238237236235233232232231231231230230231231230228227226227228227229232235236235235234232232230231230231232233230228228229227230233233234233231228227224222222220217215213212211211210211210210211211211211211213215218220221219223224223226228232233233232232232233232231231227227227226227227224224225222221224223222219217219217216215215212216217215214214214213212212213213212210208208209209210209210211210211212215213216217216217215215218216217218218220215219216216218219215215222221223224224223226225227224225224229230231233233232233234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262251252252249248247246244244244244243242240239239239239240241242242241240239238236233232231233235236237237238238238240241242243243244244244245246246246246245244243243242241241241241240239237231227225222217218222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219218218219219219218218218218219221225228232234235236235233232230231230229227227224225225225225224224225225224224224225226227229228228231231232231232232232234231231231230229229229230231231232233233234235236236236236237238238239242243245244245245245243242238238237236236235236235238237237238236999238239241242243245246246246245999999999999999999999999999999999999999999999227226225226224222224227232234238240240241241241243243243240241242241241241241242243244245247249250250252252252253255255255255255253254253253253253255257259260261262262262261261259256257257257257257258259259259258258260261260261263263264265264265266265265266266264265264264263263262262262262262263261257260260259258257256256257256257258258259261262264266268270270271269269268268268266269266268269271269268269269266269269269269267270268266269261263266264262261261258265256257264266264261260259258255254253253252249249251252251249247249254254255258253251251257255255253255254254255254253254252251249246243240243245245244245244243243242242242240239238237235234233232232232231231232231231229228227228229229232235236235235234234233233232231231231231233230228228228228229229231233234233232230226225225224219219218215213212212211212212211211212214216217219221222222223224226226229234233234234232233232234233232231229228227230229229227226225223222222224222220222221220219219218216216217216214214214214214214214214213210209208210209209210210211210214213215214215216217216217216218216217214216219218215215220214217216218220222221219227224227225226227228229231233233234235235234235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255254249246245244244999244244244244242241241241242242242244244243241241240239238237235235235236237238239239240240241242242242241240241242244244246246246246246245244243242243243243242240237232227222215217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221221219219220220219219219220221224228232235236236237236233233233231231230229227226226228229227226230228226226226227228228230231228229232232232232232232233231231232232232231231229229230232232233234234235235237237236236237238240242245245245246247246244243240238237237237236236236236237237236999999239241243245245246247247245999999999999999999999999999999999999999999999227227226225225226227231231234238243242240243243244243242243241242243242241241242242243245246248249250251252253253254256256255256255254254252253255256260262262263263263263263263262260258258258259259259260260260262260261261260260262264264264265264265265266267267267267266264265265263263264264263263266264262262261260256259258257258259260261262263264266267267269270265270268267268268268268270267266268269269269269269269269269269269269269270270270267265264263263263264264264263263264264263261261260259258257256255255257258258258257257255256256254258259259259260258256253253255256255255255253253253251251247242241243245245245246246245245245245244242241240239237237235233233232232232232232231230229229230231233236237236235234234235234234233232232232232231228227228228228227229231232232235233233229230231225225224221217215215214213214212212212214216216218219223223221222226227228227230233233233234234232233233230230230227229229230231228226225225228225224224225224223221221222221220221220220218216216215216215215215216213212212212212212211211212212215216215214215217217218215213213213211215217215214215215217217217224221221222222222225225227228228227230230232233233234233233234234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244245244243243243244244245246246246245244244244244243240237238238238239240240241241241241241242241241241241241242245245246247246246244244243244244245244243241236231226215216220224229999230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223223222221221221221221221224228232234236237237238236233233233232230230230229227227226230230230230229229228229230230230230231231232233234232233232233231232232232234234234232229229230232231233233234235237238238237237238242243244246247247247248247246243242240238236237237237238237237238237999999999243246249250248246247999999999999999999999999999999999999999999999999226224224229230232232230233236239245246242243244242244240242244243243240242242242243244245247249250252252253254255255256256256256255254253254256258262263263264262262263263263263263262260259259259259260261260260261261261261261260262264265265265266265266267267267268268267267267267267266267267267266267267267266264263262262260260259260262264265267267268268270271266263269261268269269271269269268268269269269269269270269269269269269269269269270270270269267266265265265265264265264265265265263263262261260260259258257261261262262261258257259258259254258258256259258257255253256255255254255254253254253250247242241243246245245246248248247248248247246244241239238238237233234234232232232232232231230230232234237238237236235235235235235235234234233233233233229228228228230229229230231232234235234233231231229229227224222217216216214214213213214215217219219220224223221223226228229233234233233233233233233233233230230228229230230230228227230227228228224225223224226226225224224223223223224222221220219218217217217217214215213215214213213213213213213215215217216216218218219216216219214213215214216214216217216216220220221226227226227224229230230229229230233232233233233233234233233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245247246245245246247248248248249249249248248248249246246245243242241241241241242242242242242242242242242242242242243244246246246245244244243244244244246245243239234230223218222223227999999999999999999246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225225224223222222223225228230234236237238239238237234234234233231231229229228230229230230230230229230230232232232233234233235235235234235235234234232234234233232234233232230230231232232232233233236241242242243240241243244246247247248248250249247245242241237239237238238239239239240241999999244246249252252250999999999999999999999999999999999999999999999999999999226224217216230231232232235238244245244244244244244243244244245244245244244244244244246248249250251253253255255255256256257256256256254255257259262264264264264264263263263263263263262260260260260260260261260261261261261262262262265264265267265267267267268267269269271270269269270268269269269269269269269269268268267265263263262262263264267268270269270270271265270266268264267269271271270270270270270270270270273270270267270270269269270270269269269269269269268268268268266267266265265265264263263262262261261261257261262263263260260261261258256260260260259259258258258257261256256255255254254254252250246242242242246245246247248249249250250250249247243240239239238236234234234233233233232231231232235237238237236235234235235235235235235236234234234233231229229229229230231231233233235236236235233231232229228227224221217218217216214213215217218219219220221224223225226231232235233233234234233233233233232230230231230229230229228228230229229228228228223223227227227226226226226226225223223223222221221220219219216219213216214213213213214214214215216217218218218220221221220221220220216215217217217215216218222224226225225226228228230232232232231233232234234234234236235230230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253249249247248249250250250251251251252252251251251999999250249247245245244243244243244244243243243243243243243243243244244245245245245246245245245244246247245243238234224221223223224225235999233235241242247243241999242244999999999999999999999999999999999999999999999999999999999999999999999999999227226225224224226229230233236237237239239238237235234234233233231230228229231228228228229230231231232232234236236235235235238238238238235238234234235234234235233234233231231232232232232233234235241242239240240242245245246248249249250249249247246244240241239240241240242241242240240999244245249254253999999999999999999999999999999999999999999999999999999999999999226228228230233233233237240244246245244243244245244246246244246246244246245246247249249251252253254255255256257257257258256256255256256261261262265265265264264263263264264264264263261260260259259260262262260261262262263265266267267268268267268268268269270270271270271270271270270271270270270270269269269268269269268266265265264265268270270270271272271272271273272269266269272269270269270269270270270270271270271270271272270270270270270269269269269269270268269268268268268268267266265265264263262262262260263265264259261262262261263261261262262262261260259260260258261257256256255255254254253253250246242242243246247247248250252252252252252250248244241239239239236235235233234233233232232233235237238237236237235235235236236235235235235235235233232232230230230231231234234235235236237237236235234232231229226227223221219219218217215216218219217218220223224222226227232232235235236234235234234233235230231230230229229231230228228226227227228230229225227228228225223224225227227227226226225225224224223221220220221219216214214214214213214215215217217216217217219221223219218217221218217216218218221221223225225227227227228228227230231230232231232234232234235236236235232232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255252250249250251252253253254254253253253252999999999999999251251249248246246244245245245245244244244244244244244243244244244245246245246246247246245247248247245241237231228228225222223227232237239240240240241246244248244999999999999999999999999999999999999999999999999999999999999999999999999999999227227225226229231234236237238238240239238236236235235233234233232230231230230230230230232232232233236236238237239239240239239240238236235233235234234236236233234233233231232232232232239240239239238239240242245244247249250252250251248246246247248244242241241241241242243242241240240248250253254999999999999999999999999999999999999999999999999999999999999999999221226227231232231233238242244244246245244243244245246247246246247248248248248250251252252254255255256257257258258258258257256256257259261263265266266266265265264264264264264264264262261260259260261261261261261262263264266266268268268268269269269269270269270270270271271272270272272271269270270270270270269269269269268266266266267270270271271272272273273272270270270271269271269269270269270271270271271271271270270271271271270270270270270270270270270270270270269269269268269268267266266265264264265263262262263263263263263263263263263263263263263262264261260259259257251256255254255255255254252249245242243244247248248250251252252251251250249248245242240240238237237236235234234234232232234236239239238238237237237237237237237235235234234234232232231232232232232237238239238238237240239236236234235232229229227227226222221220219217217218219220221222222222224225230232233235236234234234234234234235231231231229231230230231231229229228226225226226225225225223228224226227226226226225227226227226225224221220222220219219216215215215215216216216217219216217218216216216218217217219218218219220219223224224225225226226228227228231230230231232233234233237235236236236236232235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250251248251252253254255255255255254254999999999999999999999999999251250250249248247247246246246245245244244245244243243244244245246246247247247247246248249248247244241238234233230226226229233237241241239240241242242243244999999999999999999999999999999999999999999999999999999999999999999999999999999999227229230231233235237237238238239239238237235235234234235233234232232231233232232232233233234236237238239239239239240240241241239238235237235235236241242240236233233233233233234240239240240240239239240242243246248250251252251251251247246246244245243241243242242241243245243246246250251253260999999999999999999999999999999999999999999999999999999999999999999226226230233234235237239244244246245245245243244244247248247248249249250250251252252253255256256257257258258258258258257258257258260262263264264266266266265265265265265264264265265263262261260260262261262262262263264265267268268270270270271270270270270270270270271271272271272272272272270271270271272270269269269269269268267267269270271271272272273273273272273274273272267269269270271270270271272271271271271270271271271271270270271271269270270270270270270269269269269268268268267267267264264265265263264262264265264264264265264264264264264263265262261260259258257257254256256255255254254253252247244244243245247248250251252252253252252250249246244242240239237237237235235234234234233233234237239240239239239239240239239238238237236235234234234234232233236238239240240241242241240240240239238236235234231231229230229225231225223220219219220220220220223223226225230234235235235234233233232235234234231231231230228229230231230229228228226225223223223225225224228228224228228227225227228228227227227225223222222220220221219220215220220221221217217218219220217216218215216215215217215216216218217221224226224223225226227227229230230230231232233234233235237237236235235234232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249248249250253254255256256256256255253255999999999999999999999999999999999249249249249248247246245245244243243243243243242244244245247247248248247248248249249248247246244241237234231230231233236239241240237237238240242243245246242242999999999999999999999999999999999999999999999999999999999999999999999999228230230233235237237238237237238237237237236235234232234234234234234234233233232232233233235237240240240240240239238241241240239239237237236236237239239240236238235235236235237240239241239239239239239240243246247251253251252252251247246246245242243244245244242242245243245248249253252254999999999999999999999999999999999999999999999999999999999999999999999999228229232236237239241244245246245245245245246246248248249250249250251252253254255256257257257258258258258257257258258258258259264263264265266267267266266266265265264265265265264264263262262262262262263263264264265266269268269271272272272273272272272272272271272272272271272272272272272271271271271271270270270270269269269269269270271272272272272273273274272274274271271270270267271271271271272271271271272270271272271271271271271270270270270270270269270269269269269269269268268263267270267270268265266265267265264265266265265265265265264263263262263261258257258257253255255257256254254253250247245245246247246247250252253253254254253251251249246243241241241239239238237237236234234234235238240240240240240240240240240240239238238237238238238238239241242242243243243243245244242243241241240238237235233233235232230229229229227229230228225223225224226226230228230232236235235235236236235236234235234232231229229230229229229231229227226226224223224224225224224226226226227229226227226229228227228227227226222223223224221219218220222222223223218218218219219218216216216216215216215216217217217219223224226225226226227227227229230231232233234233232237237236235235235233234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250252253253254256257256256255255254999999999999999999999999999999999999999999999999999999999999999999242242241240241242242243244245247248249248249249250251250249248248247245241236233232233235236239239237234235237239240242242999246999999999999999999999999999999999999999999999999999999999999999999999999999999230231234234236236238238238238236236236236235234234234235233232233234234233233234236235239241241242241241241241241242242240241240239238237237238239237238238239237236236240242241242242241242243240240243244248249251254254255250249250246247999999242247245244243244246245247252253258250999999999999999999999999999999999999999999999999999999999999999999999999999228233238236240240243244246247247246246246247248248250251251251252254254255256256257257258258258259260260260260260260259259260262264265266267267268267266266266266266265266265264264263263263263264263262263265267268269269270271271272272273273273273274274273273273273272272270272271271272271270271270271271271270269270270270270269271271273272272273273274274274273272268274273272271271271271271272272271272268266267270272272271271271271270271270270270270270270269270269268269268269268266267264266266263264266266265265266270267267266265265264263262260260258258258258258257256257256255255253251249248247247248248249250250253253255255255255254254254251251249247245247248245243240239238237235235238241241241241241241240239240240240239239239240239239240243243244244245245246246246246245244243242240239239236234233233233233233234234234232232233232229229226226225227228231232236236237237237238239236238235234234233232231229229228228227228228227225224224224225226225225224226226227226228230228227227229228230229228223223223226223222222221221221222223223223223223221221218219216217216216215216217220218218224223225226226226227227228229230230232233234237236236236236236236236235238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252254255255256256257256254999999999999999999999999999999999999999999999999999999999999999999999999999999999237240242243243244245248249249249249250251251251250249249249247245241237235234235236237232231232234235237239240240244246248244999999999999999999999999999999999999999999999999999999999999999999999999999231234235235237239238238238237238235236236235235236235235233234234234234235235236237240243243242243243242244243243242240241240239239239239238238239239239241239239239241244243241242243243244240241248249247249252254253252248249999999999999999243245244245244245246247249252249999999999999999999999999999999999999999999999999999999999999999999999999999999999226234237238240240243245245246247247247248248250250251252252253254255255256257257257258258259260261261262262261261260261261261263264266267267269268268267267266266266266265265264264264264264265265264264264266268268270270271272272272274273273273275274274274273273274274273274273273273272272272272272273272272271271271271270270270271272273273273273273275275274273273271272275273271271271271271271271272272271272271270272272271271271271271271271271271270270270270270270269269269269269269268268269267267267267267267267267270267268266265265264263262260259259261260259256256256256256255254252250250250250252254252253254254255255255256256256256256257257255255255255256256252249249246245243241239238239240241240240241240240240239240240240240241241241242244244245246246247246247246246246245244242241240239237234234235235236237237237235236237235233233233233232231231234235233235237237237238238238238237235234234234233234230230229228227227227226224223223224224224225226229230227231229231232232228228228228228229227225226225225224224227227225224224223223225226226223226224224218219218218220217220224223223224226225227225226227229228228229230232233234235237235235235237237238238239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257259257257258258259257257999999999999999999999999999999999999999999999999999999999999999999999999999999999236240241243243245246248249249249250250251252251251250252250249248246243240238238235232230230231234236237237237240243245248244999999999999999999999999999999999999999999999999999999999999999999999999999232233235234235237238238239239238237237237236236235236234234234235236235235237238239242244243245244244243244244245243243241241241241240240241241241242241241241242244244243243243243243244245245246249249251254252253253253249999999999999245246244244244244245248249250251255999999999999999999999999999999999999999999999999999999999999999999999999999999999226232238238240242244244246244245247248249249249250251252252252253255256256257258259259259260260261261262263262261262262261261262263265267267268268268268268267267267266266266265265266265265265265265264265266267268270272272272272273273274275275276275275275275275273275275275275274274274273274273273273273274273273273272271271271274273273273273272273275274276275274273273273272272272271271270272271272272272270272271271271271271271271271271271271271271271270270270270270269270269269269271269267269265265268268268268268268268267266265265264264263261261260260259254258256257256256255254253252253254257258257257256256257257256256255256257259258257258258258258259260260259255255255253252249246245242241240241241241241241241241240239239240241242242243244245245247247247248249247247247248247245244241241240239237236238239239238238238237236237237236236235234234233232234233234235236237237238238237239238236235234233233233232230230228228228228227226226224225227227228228230231230231232231232232232232232229230230227228227227228226226228229228228226226226226226225226225223222223222223222224224224225225222229226227226226227225226229229231232234233233235236236237238239239240241241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260254255255256256999999999999999999999999999999999999999999999999999999999999999999999999999999999237236238240241242244246248248248249249250252252252252252252251250249248246244242239237233231231233234234233234235239241242246999999999999999999999999999999999999999999999999999999999999999999999999999999999231235234235237238239240242240240240240239238237237236236236236235235238237239241244245245245245245245245245245246243242240241241242241242242242242242242243244245243243245243244244245246246247249250253251253255255253251999999251246247247247246244245243244250251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232236239238241242243245244245245248249250249250251252252252253254255255257258258258259260261261262261261262262263262262262262264265267268268269269269269269268267268267267266266266266266265266265266266267268269271272272272273273273274274275275276276276276274276276276275274275275274274275274274274274274274274274275274273271271274274274274274274274275275275276275274270273273272272271271272272272272274272271272271271271271272271271271271271271271271271271270270271271271270270269269268269271270269267268271269269268268268267266265264264265263266262260256257258257257258255255255253254257260259259258259258257257257257258257257256257257257257258259259260260260261260259255256255256255252250247245244243241243242240240240239238238240241242242242243245245246248250249250249248249249249247246245243241240239240241241240241240240238238238238237236236234236237235235233234235236236238238239239238239238236236234235235233233232231229229229228228228227227226227227228230230231232231230230232231232232230229228228230229235231229228229229231230230230234230228228226227226225225225224224227227227227226228226227225227227227226227229229235235234234235237237237240240240242242244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236236238239241242244246248248248248249250252253253253253253253252251249246245243242240236233231232232232231232235238242243245247999999999999999999999999999999999999999999999999999999999999999999999999999999230233232233237238240240241241242242243244243241240239238237237237237238239241243245245245245247248247246246246245244243241242243244243243243242243243243243245245245245243242242244245247247248250251251253253255255255251255999999999250249246246245246245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237237238240243242245245246249249249251251251251252253253254255255256257257258257259259261261262262263259263262262261262263265267268268268268267269268267269268269269269267267267267267267267268267269271270270272272272273273274274275275276276276276276277276278276278276276278277276276276275275275275274275273275275276275271271272273274274275273274275275276276276276276274273272271271270272272272272275274273271272271271271272272272272271273271271271270270271271270270271270270270270271272268270270271270272268269268268268266266265265266266263265263257256259259260257257255256255258258259260259258257259258257258257257258257257257256257257257258259259260259260260260260259259258258258256254251248246245243242241240240239238238238240240241241241244242244246246247250250251252252250250249248247245243241241241242241241241243242240239239238237237237237236236236233236236236236239237238242240240239239237237236236235235235233233232230230230230230228228228229229229230230229230232231232232233231233231229230230231231233230231230231232233233237232234228232230230229229228227228228228229229226225226227226226229229229230230230229231234236236235237238238240241241241242245244245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233235236239241242244246247247246247249250252253254254254254253253253251249246245245243238234232230230230230229231234999240999999245999999999999999999999999999999999999999999999999999999999999999999999999999229230231231234237239240241241243243244245246244243241241240238238238239240242243246246246247247249249247247247244243243242243243244244245244245244243244245246246246246245245244244246247248249250251253253253256254253252255999999999256254250247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235240238238240242245247248249250251250251252253253253254255254256256257257258258258258259259260262262263261263263262263263265266268267268269267267268268268270268270271271269268270270270270270269271271271272272272272273274274274274274275276276276277276278278278279278278279279278278278277277275276276275276274274276276276275274272274273275271271274275275276277276276276275273272272272272273272269271275276275274274274273272276272271269272271271271271271271268269267271270268269270271272271269270270266270270271271268268268266265267266266263262262257260259260259258257260258258261260259259258257255255256256255257258258256256256255257256257258259259259259259260261261261261262260258256257256254251249247244243241240240238238238238239239240241241243243245244247249250251251253253251251251250250249245243242242243242241242242241242241240239238237239238238238238237237237239237242239239239239240240240239238238236236234235235234233232232231231231231229230230230230231230230230232232233233232234235230231233232232233236234234233232232233233232231229228227228226227232230229229229231230230230230227228227227230230231231232234232235237237237237240241241241242243242244245245246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253253252249999999234233234235238241242245246247246246246248250252253253254254254254255254253252251250249245241237233230229229229228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230229229227232235239242242242243243243244245245244244243243241241241242242242244246247246247247249248247248246246244242243243243244245246244248248247248247246247245246245246246246247247248250251250252253255255254253254256999999999248257254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234239240238239240241244246248247249249250253253253254254254255255255256257258258259259258258258258259261263264261262263264264265266267267267269269268267267267268270270271271272271271272272272271271271272272273272273273274275275274274274275276277277278278278279279280280278279279279280279278278279278277277276276276276276276277277277275275274274277277276275275276277274278277276276272271272272272272272271270275274273275274274273269272272273272272272272271271271271265270271271271271269272274270271270274264270270268270268267267268262266264263262262258261261259263263262261261259259259259258258258259258257256256256256256255255255254255255256258257258259259259259261262262262262262261262259257260259254251248246244242241240239238238238239239240240241243242244244246248249251252252253253253253253253250249246243243244244243243243243243243243243241240241240240239238238238238242240240238239240240241242242241239239239236236237236234234235233232232231231229230230230231236233234235234234234234236235234233233235238235234236236237235234231232234233231229230228227227227232230229231231230231232231232231231231231231233233235234235235236238239239241241241242242244243243246246246247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255255253254255255254250243238236236236236237240243245246246246246247248249251253254254254255254255256256255254254252247242240237234233230228229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227228227229233238240242242242243244243244245244243242243244244242243242243245247248248249247248249250250248247245245245244243243245246248248247248246249246247246247246246245247249248249251251250251255253254255255254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235240237239240243246245247247249249251252253254254255255255257258257258258259259261261260260260261261261262263260264265263263264266266266266269268269269269267268269271272272271271272272272273272272272273273274273274274274275275275274274275276277277278279279279280281281279279279279280278278279278278278278277277276277276276277277277276276274275277277276277276277277273277276275274274272272272273272272268269274274273275274274274275275273270273273272269272271271271267272271276274272271272269271270271270270268269271271269267268266265265263262261262262261263265261263261262261261261261261261260259260260260259258257256256255256255256255256257257257258258259259260261262263263264263262264262261260261257255251248245244241240239239239238239239240240241242243244245251250252251252253253255254256256254254249249246244246245244245245244244245244243242242241239241240239237239239239240242241239240241241241246241241241239239238237235236236236234233234233233231232232232233237235237239237236236238237237236236235237235237235237237238236234233234235234232232230230230229234235233230229231231232232232232234232233233235237234236235237237237239238239240241241243243244244245246247247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258258257256254255255254253250245241240238237237238241244246246245246245246247248250252254255255254254256257258258257255252249246244240238240234229233239999237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230227228224224228237239242242243243244243244244243244243243244243242242243245246247247248248249249250250250249249247246246245245244246249246244246250250250250247247247246246247250251251251251251251252254255255255254253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237240241241242244244245247247249248250251252253254254255255256257258259259261261262262262261264264264264264264265261264264263264263263264264264266267269268268268268269270271271272272272273273273273273274274274274274274275275275275274274274275275276277278279280280280279280280280280280281280279280278279279278279278277278278276277277277276277275276276276277278277277277277277277275276274273274273273272273272272272272273275274273274273273274274274274273273272273272273272271273273273274275274271275268267270270269269270268267265267266264263263262262263264265265266264264264264265264265264265263262264263263263261260259258256255256255256257258258258258258258258260261262263264265264264264264263263262261260258256251247246243240240240239239239239240241241243243246247250252255253255254255254256256257254253254252249246246246246245245244244245244243243243241239240240240239240241242241241242244243242242243243242242243243240239239238237237237237238237235236235234234235235239237240240238237237236237238237236238239239240237238238241239236237235235235233232231234232235235235233232231232232234235234235233235233234235237237237237240240241238240242240240243244243245246246246247247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258256258259258257256255253253252252249247244242240238238240242246245245245245245246248250251254255255255254254255258260259259257254252250249247246244239235234238238251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228229230225223227233237243243244244243242243243243243243243244243243243244245246247247248249249251253252252251251249248248248249245247247251249248248250248248246249249246248251251252252252252251253253256256256255253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239242241242243244245247248247248250251251252254254255256256258259259260261262263263263265264265265264266266265265262265266265265265264263264264264265268269268269268268269271271272272273272273273273273273274274275274274274274274274274274275275276276279279281281280281280280281282282282281281281280279279279278280279278278279278278278279277276276276275273274276276278277277276279273275275274274274275271271271271272272272273274272275272274274273273273273273272272271272273272277272274275271271271270270268269275272272267270270266265267265262262262266258265266267267266266262265266266266265265267266266265265265264264262260259258257256256257258259259258258258259261263264264265266266264264266264266264262260259258256252248245242241240240240240241241242243244248248249252255254254255254256256257256257255255254255252251246246246245245245244245244243243243243243242241239239240241241241241240242242242244243243244245244244245243240239239239238239239238237240238237236240240238239240240240239238238238239238237237239239240238238239237239238236236235235237234233233234231236233233233234233233235234235235237237236236238239239239241241241241241242241242242246246244245246245250247248247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258259258258256255254253252251251250248245243240239240242244246245245245246247248252253255258258257256255254255258260260261259258255252252250250246242239237238239249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230228226225222227231236239243246246244243242242242243244244244245244244245247248249248249249251252252254254253252252250251250251249249247249247247249247249249249249250251251251252252253253250251254254256257256255999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237242241241243244245246248249249249249251251253254256257258260261262262264262264265264265266267267267266266267267267265267266266266266266265264264264264266268269269270270269270270271272273273273273273274274274274274274273273273273273273273274275277278280280280282281281281282282282283283282281282281281280280279281281280279278279279278279277278277277277276276277277279277277276276277275275276275275276275275272274272275274272276276277275274271273273272268272272272272271271272272272272273273274269271271270270270265266268261262268263260261265263263261260263263261261261267265263262267267266266266266266266266266266265264263262261260258258257257258258258258259261263264264265266266265266266266266265267263263261261260256252248245242242241241241242242243244249253252252252252254255255255258257257256257257257256255255252249247247247246246245245244244245245245245244241240240241241242241241242242242244245244245244246246244244244243241240239239240240239238239240240240240240242242244240240241241241240239237238241240239240238238239237237236237237238239238236233232232231234231235233233234235235235235236236238239240240240242243240242243242243244244243244244245245244247247250246247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258259258258258256255255254252250250250249246243242241241242242245246245246247247248250253255257259259260258257254255259261260260260259258256255252252250242240239239240245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230231228224223224229237239244244245245244244242243243244244245245246245247248249249249250250251252251254255253252253251251252250250251250249250246246249249249247248249249250250254253253253251252255254256255999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238241240242245244245246248248248249250252253254255257258261262263264265266267267268267268267267268268269269269270269268269268268267267267267267266265265265266269270270270269270270271273273273273274274274274274274274273272272273273271272272273275277279279281282281280281281282282282282282282282282282282282282282281282281281281280279279279278279279279278277277277277279279278278278277276276277277277278277276276275274274276275274275277276274276274275275274274274276277276273269273272272273273275273271271272272271267267269268269269268266266266269266267266268268266265266265271269269267266268269266267268268268267267266265265264263263262261260259259258259260261263264265265266266267266267267266266266265264264263262262260258254251247244243242242243244248249250253254254254255256257258258258258257256257259257256256254253251248248246246246246246246245245246246245246245243242242241242241243244244243244246250246244247246245244244244241241240241239241242242241241242243241241243241243244243241242242242245239238240240240240241240240238238239239239241242241238235234232238232235236233234233234235236235236239239240240240242241242241241243243243245244245244246245245245246247247246246247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259260259259259256255255253251250249247247245245245243244243244245246246247248250251252254257257259260260259258256256259261261261261260259258256255255251244238238239240245246999999999999999999999999999999999999999999999999999999999999999999999999999999999999231231228223222224230235241243244246247245245244244244245245246247246247250249249250250250250251252253255255254252999999251252251251253248248250246247247250249248249249250251251251252254255256253255254254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236241240240243243244245246249250249252254255256258261263264266267267269269271271270271271269269269270270270271271272272272272272271271270270268269269268267266267269270270269269270271271273274274274274274273273273272272272271271272271272272274276277279279281282280282282283282283282283282282283282282282282283282282282283282282281280280278280280279278278276277278276278279280275279277280277277278278278277278275274275274275276272274275276279278277277277275273276277278276273273275273271271271272272269270270272266268266270269265269266264263265267265265267270269266266266271272268272268268268269268268268268267268267267266266265265264264263263263262262262263264264265266266266267268267267266265267266267265265264263263262260258255253249246245246247248249251253254255256256257258257258259258259258257258258258257257255256254252249248248247246246247247247247246247247245245244244244243244243244245246245246247246245247246245245247247244243242241242243244243243244243245245245246247246246245245243243245244241240241239240240240240242241240240241242242243241240238235235238236232237236235235236236238239238239238239240241240241240241242242244245243243245248249246246246246247246246246247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261999999999999258259259261261260259257256254252250250248249248248247245243244245246246248251253255256256258258259259260260260258256257259261262263261260258258257255255253248241241242243246247999999999999999999999999999999999999999999999999999999999999999999999999999999999999230228225222224225228239240241244246247246246245245245245247246246248248249250251251251249252252252253255254254253252254253252252253253253249249249249250251251251252251252253253254254256253253254255257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236239240241242243243244245248251252254255256259262263266269269273272274274274274274274275274274274274274274274275275275274275274274274273273272272271269270269268268269270271269270271271272274275275274274274274273273273272272272272272272273275275278279281282283283282282282284283283283282282282283282283282283283283282282282282282282281280280280280280278279278278274276276277279277280280278276277277277276277278276279277277277276273275279278280278279280278274278276273276274275273273275272272271271270270268264266269267268271265268269268267267266264265262267265263264266265268269267267269268268268270268268268269268267267267266266266265265265265265264264265265266267267267268268267267267265265265265266266266266265264263262260258257256253252252252252253254255256257258258258258258259258258258258257257257257256256255255255254251249248247247247248247247247247247247247247246247247245245245245245247247248246246245246246246246246246245242243243244244244245245246246247247248246249248249248246245243244243242241241239240239240241241242241243243243243240241240238239239240237238238239239237238239240241239239240242241240238239240240242242245243244244245246246244245246247246246246247246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267259259257257258259260261261261260257255254253253251251251251249247246245245246247249253255256257258260259260260260260260260258257258259261262263261260259258258257256254250244243242245247249251999999999999999999999999999999999999999999999999999999999999999999999999999999999231227222221222225230236238242245246247246246246247246246246248247247248249250250251249249251251253254255255254253252256253253251253251249250250251251251253255255253253253253254255254254255254254254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238240240241242244244246249251253255258262265266268270273273274274275275276276276276277276277277277276277277277276275277277277276276276275275274273272270271270269268269271271270271272272274275275275274274274273273273273273272272272273272275276279280281281282283282283283283283283282284283283283284284283283282282283281282282282282281281281280280280281282280278277277275276277278279280279278276277277277277277278278279280277278274272273272278282280278277277274281277275278276275276271275272272264267267272270266269268267272268267267266266269270270270269270267263266267264268267267269270270270269270270269269268268268268268268267267267266266267266266266267266267268267268268268266265265265265265266264265266266266265264263262260260259258256256256256256257257257258259258259258258258257257258258257257257257256257256256253255254252250249249248247248249250249249249248248249248248247247247246246246247248249249248246247247245247245246245246244246245245245245247247247249250250250250249248249248245244244243242241239240241242242243241242244245245243243242240241240241239239239238236239239242243243241242242243242241240240240240242244242244244245245245246246248247247247246247246249247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259258258257257258258259260261261259257256255255255254252252253252249250249249249252255256258257257260261260261261260261260259258258258259261263263262261259259259258256254249245242242244246249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221224223226231237239242245248247248247247246246248249249249247248250249250250250250251252254255255258254254255256255254251251252252252251252251252258258259254254254253254255253255256257255253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236238238240242243245248250253255259264266268271272271273275275276276277277276278277278278278276278278278278279276277279279279279279279278277275275275273271270270269269269270272271271272272276276275275275275274274274273273273273272273273275277279281281281282283282283283282283283282284282283284284283283283282283283283282282282281281281282281281281280280280279278278279279278278279282281279278277277278278278277278278277278278277277278278279279279278279280278282279279279279279276278276274272271270270272272271269269268270269267268267269269271270272269269269270269267268269268269268270270270270269269269269269269269269269268268268268268268267267267266266267268268268269268266266265265265265264265265265265266266265265264264263261261260259258259258259259259258259259260259259259257258258258257257257256257258257256257255254255254251251250249249249249250250249249249250249249248248248247246249248247250249249249250249248247247247247245246249244245245246247248248249251252252252250251249248248248248246245244244241241242241243242242243243244245243243245244244242240241243240239239242243244243243240242241244240241240243241243245246245247245246245245246246246248246247247247247246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260259259259259258257258259260260260259257256256256257255253253254254251252251251254256257258259260259260261261261261262261261260258258258259261263263262260259260260258256253248245242241243244248256250999999999999999999999999999999999999999999999999999999999999999999999999999999999227227223225226231239240243245247249249248249247247248248250250250249250249249249250251252253255256256256256254257259258257255253256253253251252254257257258259256255255257258257255257254255254254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234238240241245248251252257260264267269272274275275274274277277278278278278279279278279279279279279279279280279279280280280280280279280279277278277275274272271271270268269271272271272272275275276276276276276276275274274274273273274274276279281281282283283283284283283285285283283284284283283284283282283283283282284283283283282282281281282282281282283282281281280277279280278278276279279279278278277274278278279273278277278280276274280274277278279276279280282282280276281280280278273275273272271271268266265267267269270269268267269271270269267269269265266269270270267269267269269270270270270270270269269269270270270269269268268268269268268268267267267267268268269268266265266265265265265265264264265265266266266266266265264263262261261261260260260261262260260261260259259258258257257257257257256257257258257256258257256255254254253251250251251250251251250250250250250250251248248248248250251249249251251251250250249250248248248248246246245247246246249249249250250250252253253250252252249248249248247246245244243243242243243244244243243244247246246245247245243243244243241245242245246245244243241244240240241243246245247246246244245246245243244245246246247246247248247247245246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261261258259259259259258259260261260260259258259258258257256255255256255253254251253254256258259261261261261262261262262263263263261260259258260261264263262261259258258257254252249245242242243243247249999999999999999999999999999999999999999999999999999999999999999999999999999999999999228228224224226229240243244247247249250250250249248249249249249249250249250249250250253253254257256257257257256258257258255256254255254255254254254256259260264257254252999999257255254253254255256254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234239240242247250255260264266268271271274275275276276276278278279279279277278280280280279278279279279279280280280281281281281281281281280279279278277276275273272271270268270271272273272273275276276276277277277277276275275274275274275278280281282282283283283284284284283284283284283283284284283283282282283283283283283284282283283283281282282277283282283282281281281278280274274275280280279279279280279279279279278278279281281279277277278276276281281279280283283283282280280284279278278275274271270271270268272272268270272271270270268265266271272270269269269268268269269269270270270271271271271271271270271270270270269269269269270270269269268268268267267268269269267265265266265266266265265265265265266266265266266264263264263263262263262262262261262262261261260259259258257257257256256258256256257256257257257257256256255254254254253251251251251251252250251250250251250250251250249249249249250250250252251251251251248248248248248247246247247248247250251252252251252252252254253254252252251251250248249248247245244244244243244244243247246246249248247247242243246245244246242243243243245245244242240240243243243244245244244244244246245246245245246246247247247247247247247246247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262262260259259259260260259260260260260260260259259259259258257256257257257258258257256257258259261262262263263263262263264265265264263263261261261261264263263263260256255253251249246242242243245244999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225228224228230234239243246246248249251251250250250249248249249249249250250250252253254256258258258259261259260259257255258254254256254254256254254256999999999999999999999999255256254255252253252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266267999999999999999239239240242245248253259262266268270273274275276276276277277277279278279280280280280279279279279279278279279279281281281282281280282281281281282281280279279278276275274273271271270270272273272273274276277276277278277279277277275274275275276278281282283283284284283284285284283284284283283283283283283283283283283282282282282282283283283283284283278278284283284283283282282282279277278275279280278278278278278277278278278278279280278278275278278277277276281282280283279279284283283287285281280280278271270271274274271268267272273271268271270271268266268269270269268272270271272273270272271272272272271272271271271271271271271271271270270270269269269268268269268269269266265265265266265266266265266265265265265265266266265265264263263263262262263262262262262261260260259258258257257257256256257257257256255256256257257256256256255255254255253253252252251251252250251251251250251251251251251252251250251251251254253251252252251249249250249249248247249249249250253252253253253254254254254254253253253251252250250248246245245245243244244244246246247246245245245243244244247247247247242244243247246246248241241242243244244244244245244245246245246246248245248246247247248247248248246246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263263263261259258259259259259260260260260260260260260260259259259260258258259259260259258258260261262263263263264264264265265265265265265265264263262262261263263264264261257255251248246244243242244246247254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224230229229233236241244247246248250251252251252252251250252253250249255251252252254256259258260257259258999999999255257256253257257255999999999999999999999999999999999999999253999257257252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264265267999999999999242244241243246252256259264266270270274273275276276276276277276277279278278280279278280279279280279279280279279280281281281281282280282282282281280281280279279279278277276274273271271271271272273272274275277276278277277278278277276275276275277280281282284284283284284285285284284284284284283283284283283283283283282283283283283282283282282283283283282283283282282281282280283282282281279279281279276280281279278278278277278278278279278278278277278280279281283284282281283283285285285285285285284282278278273271273272272271271273271271271274272273271271271269268269269269272272273273271271272272271272272271272271271272271272271271271270270270270269269269270269269268267265265265266266266266266266266266265265266266266264264264264263263263262263262263262261261260259258257257258258257257257256257257256256256256257258257257256255255255255255254253253252252251251251251252251251252252253253254253254252252253252253252252253253252250250250249249248249248249252253252252252255254255255255254255253254254253253253251250248247246246245244245246247249247245245244244244246246247247246245244246245245246242242241243247246245244244244244244246247247247247248248248248247247249250249249248247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264265263261260259258258258259259259259260259259259260260260260260259258259259260261260261261261262262263264265265265264265266265265265265265265265264263263263263264264263262259254251247245245245246247250249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224227227229234236238245247248247250250252252253253253255253252253253254253254253255257258260259258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257259262999999999999244245244243248253258261265269271273273275275274275277278278277278277279279278279279279279280279280280279281280280281281281282281281280282282281281281280280280279279279278278275274273271271271271272273273274275276276278277277279278278276276277279281282283283283284285285284285285284284284285284284284283283283283283283283283282282282282284283282284283283282283282283281281277279281281281282281279281280277278277275275279277279278278278277279276276277279282280276281282282284280284284281282282281281282279275278276274270269269273273271270272274272271270271271271272269265270272271272273271271272272271271272271272271272272272272272272271271272271271271271270270269268265265265266265266266266265266266266265265266265265265264265265264263263263262263262262261261260260259258257257258257257257256256256257256257257257257258257256255256256255256255255255254253252251253253252252251252252251253253253253253254255253252254254254253252251251252251250249250249249250252254254253255255256255256257256255255254254255254254253252249250249246246246244247246246248246246246245246245247248246246245245245243243244243242244244245245245244246245245246245248247247245247247248249249249249248248250250248250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267265265263261259258258257257258259259259259259259260261260260260260260260261261261261261262262263263264265264265265266266266266266266266266265265265265264265266264263263263262260256250247245245247248250251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222224227230234237239243248249249249252253252254254255255255259255254256255255256258258258259258257258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255258999999999999999245244245249255260262266270271273273274275276274276277278278277279279279280280279279279280280280281280282281281281282281282282282282281281282282281281281281280280280279280279277276275274272271272272272273275275276277277276277279278276277277279280282283283284284284285286285285284284285284285285285284283284283283283283283283283283282282283283283283280283283279282283280280279278279280281282282282277278278279279279276279280278279278275277275279279278279282282283279287287283284280285283280281283281280279279279279271271271271273267266270271272272270269269267270270271264266270271272273271271271271271271272271271272272273273272273273273273272272271271270270270268266266266265265264265265265265265265265264265264265265265265265264264264263263263264263262261260259259258258256257258257257257257256257257257256257257257258257256257256256256256256255255254253253252253252253253252251252252252252253254254254253254255255254253253252252252252251250250251251252252253255254254254255256256256255255255255255255255255255253251251249249247247244244246248247246246246246246245246246247249248247247245243244244243243245248246251248251246247247246248247248247247248249248250248250249250250249249248249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266268267265263261259258257257258259258259259258258258259260260261260261261262261261261261262262262263264265265265266266266266267267266266266266265265265264265264264264263263263261260258252249246247248248248249999999999999999999999999999999999999999999999999999999999999999999999999999999999999222233231230233235238242245248248249250251253254253254255255256258256258258257257257261259258258257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256254256254999999258999999999999999249254255258261265268271273273274275276276276277278278278278277278280280280280281280279280279280281280281281282281282280282282282281281282283282281281281281281281280280279280278278277275274273272271272273274275275275277277279279277276277277280281282283284284285285285285285285284286286286285284285285285284283283283283283283282283282282282282283283283283284284284283282282283282281280279279281281280279278281281279279279278279277279277278278278280281279284283284285283283284284284284283287283283283282283281281281277270273271273272272272269272271270269269271269270270270268270270270272271272271271271271271271271272272273274274274274274274274273272271270270270268266266266266265265264264264264264264264264264264265265265265265265264264264263263263263262260259259258258257257257257256257257256256256256257257257257257257257257256256257257256256256254253254255253253253254254253254253253253254254255254254255256255256255255253252253252252253251251252252253253255255255255255256256255255255256255256255256254255253254253252251249249248246245248249250249247247247247247246245246247247247247246245246245245244245244248246244244245246247247248248248248248249250249249250248251252250250250250250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268268267265263261259258257258258258258259259258257257258260260260261262262261262262262262261262262264265265265266266267267267266267267266267267267265264265264264265264263263263262262260253248246248249249249250999999999999999999999999999999999999999999999999999999999999999999999999999999999999225238239238238240240245247248251253251254255256254255255256257258260263263260262261264259259259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256257254999252999999999999999255257258261263267269272273274274275275276277277277277277278278279278280279280280280281280279279280281281281280281281280280280280280281281281282282281281281280281280281280280281279280279278275274273271271272273274275275276278278278277276277279281281283283284284284284285286286285284284286284285284283284283284283283283284284283282282284284284283284283283283285284284283283284282282282280278280280279280279277278280277279282278276278277279280280280284284279278282286284282284283284285283280287288284284279279280280276276275273273273272270270273272273271270270272269271269270267267270271271271272272271272272272272272272273273275275275274274274274273271271270270268266266266265266265265264263264264264263263264264264264264264264264264263263263262262262261260259259258258257257258257256256256256256256256256257257257257257257258257257256256258256256255254254254255255254255255255254254254256255254254256257256257256258256255256255253252253254253253254254254254255255256254255257258258256257257256255258256256256255255255254252252252250250248247249250252251248247248247247247247246247248247246246246245245244245245245245245245247248249248247248249249248249249253251251251250250251253251251250251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271269268267265264262260259259258258258258259259258257257257259259261261261261262261262263263262263263263264266265267267267268267267267267267267266267266266265266265265265264264263263263260253247244247248247246247999999999999999999999999999999999999999999999999999999999999999243244244246234229225230234243245242241243247249251253252252255255256256256256257260264265265263262264265262263257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251999999999999999999999999999999999999999999999999999263262261999999255256256257257257254256999999255257261263265265266269270273274274275276277277278278278278279279279280280279279280280280280280280280280281281281280280281280279280281280280280280281282281282282282282281280281280281280281281279277277275273272272272273274275275276276276276277278280282282283283285284285285285286284285285285284286285284285283283284283283283283283283282282283283283284284284284284284284284285284284282279279282281280281280279279279280280276280280281280280278276280282284284286286284279280280282282284287283284282287288285288285284285281278280281271270276275268269274272272270270271270271270269269270269265269271271272272272272272272273272272273274274275274275275274274273272271271269267266266266266265265265265264264264263263264264264264263263263263263263262262262262261260260260259259258258258257257257256256256256256256256256257257257258257257258257257256256256256256255254254255255255255255255255255256255255257256256255259258258258258257257257257256255254255254254254254255257256256257256256256256257258259257257256255257258257256255255254254253254252249248248250251249248249248247246246247247247247248247247246246246246246245245246244248247248248249248250248248250250252251252252251252252252253252251252252253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269269268267266265263261261260259259259259260259258258258258257259260260261261261261261262262263263263263264265265267267268266267268268267266267267267267266266266266265265264263263262262259254246245246249250246246999999999999999999999999999999999999999999999241241999999999238242239234242231230233240238241247242243245247251251252252254255256256258258257259262260265264261260261263263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239999999999999999999999999999999999999999999999999999262263263999999999999259260260261259256999999256261263265266268268270271272273275274276277275278278278278279279278279280280279279279280280281280281281281281281279279280280280279280278280280279281280281281282281282282282281281281281280281281280280278276275273274273273273275275275275276276277280281282282282283284285285286285285286285286285284285284283284283284283283283284284284283283283283285284284284284284284284284285285285284284283282278282281282280281280278277279279280281280277279280279280282285285285286286287284284284287289285288289285286285285287285283283280282282281276274270272271271272274273271270272271271270270270268269269269270271272273272272272272273272273273273274275276275274274274273272271270269267266266266266266266265265264264264264264263263263263263263263262262262262262261261261261260259259258257257257257256256256256256256256256256256256257257257257257257257258257256257256256255255254256256256257257257257258257256257257259258257258260259259259258258257257258256256256255257257257256257257257258257257257257259258258258257258258257258258256255255255255254255254250248248248248248248248247247247247247246246247247247247247246245246248248248247248248248250249249248252250250251253252253253254254253252252253254253252253251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268268266267267266265264263262263262261261260260260260259259258258258260260260261261261261262262262262264263264265265266266267267268267267267268268268268267268267266265265265263263262261260258252245241245247251250246247247999999999999999999999999999245999257999240240240239237238999999228230233241242240242249247242244246247250250251252255255255258258258261259262260261263263263260262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247254258259999999999999999999999999999999999999999260262262262263999999999255260263260260261259258258262265269269268269272273275273274275277277277277276279279279278278278279280280280279279280280281281281281281281281281279280280281281281281281281279281282282282282282282281283283282282282281281282282281280279276275275274275275275275275276277277279281282283283284284285285285285285285286287286285284285284284285284284283283284284284284283284284284284284284284284284283284284284284285284283283283283282282282282281280280280279279281282283281280280282283284284286285285285285286289288286286286286287288288286287284284285284282283283282281278274273271272271270272271270271271270270270270270270269271271272272272272272273273273273273273273274276277276275274274273272271270268267266267267267266266265265265265264264264263263263263262262262262262262261262261261261260260259259258258257257256257257257256256256256256257257258257258258258258258258258256257257256256256256256257257257257258258258258259257258258258258259259259261259259259259259258258258257257257258257256257257258258256258260258259259258258257261258259259258259257256256256256254255254249248248248248249249248247248247247246247247247247246247247246245247248248249249249250250251251250251251252252253254255253255254254254254254253254254254253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271269269265266266266264264264265265263262261260260261260260259258259259260260261261261262262263263263262263264264265265267268267268268267267268268269268268267265264264264263263261259256254255252245240247241246251248248999999999999999999999255250255251999242243242999238237235235236227226232239237239245242238241242245247249254255253254255257257258259259262261259261263265263267266999999999999999999999999999999999999999999999999999999999999999999999999999241242242244999999999999999999999999999999999999999999999999999999250253999266267265270267999999268999999999999999999261263261263262999999256259265267999263262263263264265267271271271273274275277275275276277278278278277279280280279280279280280280280279279281280281281281281281281280280281280280281282281281282282283283284284284283282282282283283282283284283282283283282282281279277277276275276276276277278278279281281282283283284284284285285286286287287287286284284284285284285284284283283283284284284284284283285284284284284284281282282284283283283284285284283283281282283282281281280279279279280282283282281281282282284282284280283285287286286284285281284285281283282284282285283283285285284283281282279277273272272267271270271270270268270270270270270270270268270271272273272272273273272273274272272274275276276275275273273272270269267267266266267267266266265265265265265265265265264264263263263263263263262262262262262262261261261260260259258258258257257257257257257257257258258258258258258257258258258258257257256257257257257257257257258258257258259258259260260258258258259260259260259259259259260259260258258258258258258258258259258257257258258259259259259259258259258259261259258256257256256255255254251250248249248247247248247248247247247247248248248248247247248249248248248249247249251249251250252252253254255256257256256256256255254254255255253254256255254256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267266267267266266266266267266266264264262262262261261259260260261261261261261261261262262262262262262263264267266267267268268268267267267268267266264263262262262262261258253250246249249243235234242242242244240245999999999999999258250999999249245999241240238236238234232231227232240237239242246242999240246246249255252255252254257258259260259261261261261262261262999999999999999999999999999999999999999999999999999999999999999999999999999999230232238251250244241999999999244236241999999999999999999999999999999999250243256261264999999999999999266999999999999999258260260261262261999261263264266267266268267266266269269273273273274275274275276276275277278278278279279280280280280280278280280281281279280280279280280280280281281279281280280280282283283284283283283282284284284284283283283284283283283283284283283283282283283282280279278277277277278278279280281282282283284284285285285285285287285286287287286285284283285284284284285284284284284284284284284283284284283284284283283284282283283283284284284284283283283283282282282281280280280280278283281282281282282283281286286283283286285285286285286282283283285285287285285285282282281283281283282282281279277273271268271269271269270272270272272271270270270267270271272273272272272273272273272272272273275276277275275274273272271269268267267267267267266266266266266266266266266266266266265265265264265264264264264263263262262262261261260259259259259259258258258258258258258258259259259258258259258259259258258257258257256257258258258258258258257257259258258260260260260260260259260259260259259260260259258259258259257258258258258258259259258258260260259259259259259258258258259257258258256256256256255254253252250250250248246247246246247247247248247247248247248247249251250251249249249250252251252253253254255255255259257258256257257257257257256255255256255255255254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266265267267268269268269268268268266265265264263263261262262261262261261261261261262262262263262262263264265266267267268269269268268267267266264265264262261260260259259252249248248245242235233233241241242999240999999999999251245999999244248242240238240238236235234232236236236241238242246247999999247248249251252253253254257258260260260260262261263262260261999999999999999999999999999999999999999999999999999999999999999999999999999247249246253253256247240241999241243238240241999999999999999999999999999999999999259260257258262265267268268268267266266265265262262265263262263264267266266266265266267268267268270271275273272274272275276276277277278278278279279279279280279280280279281281281281281280280279280280280280280281281281280281281284283284284282282283283282283283283283282283283283284284283283283283283283282283282281281280279278278279279280281281282282283284283285285285285285287286285286286286286284284285285284284284284285284284284285284284283284286283283284283283284283283283283284283283283282283282283282282282281281282279280281281281281282283284284283283284287286284285284284285283284283283286286286285285286283283283283280282279280279277279278274271269271272271272272271271270270271271270269269271271273273272273273273273273273272273275276277275276275274273271269269268268267267267267267266266266265266266266266266265266265266266266265266266265265265263263263262261261260260260259259258258258258259259259259259259259259258258258258258258258258258258257257258257258258257258259259259259259259260260261260260261262262263260259261258259259258259258258258259259257258260260258260260259260258260259259259259260258257257257257257256256256254253251250249250249247246247247247247247248248248250248249248251253250250251251252252253253253255255256257257258258258257258257257258258257257257255257257256253255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269267267268270270269270269268268267267266265264264262262262260261261261261260261261261262262263264264265266267268268268268268268268266265265263262260259258257253247246249248243239236235234999999999245999999235237240244244244246999243244240235243239241237239238237237237238240243248247999245255252252253253255255256259259259260261260259261263264263999999999999999999999999999999999999999999999999999999999999259257247225999245251245243250247255248244999244244244232235999999999999999999999999999999999999999999999255261265267267268269268268268268268267266267266266265266267267267269269264267268269270271272272272274273274276276277277277277278278278279279279279279279280280280280281281281281280279279281281281281281280281280280281282283283284284283282283283283283282283283282283282284283284283284284284284283283281281282281281280280280280280281280281282282283284284284285285286286286286287286286285286285284284284284284284284284284284285285284283283283283283283283283283284282282282283284284284276279283283282283282283282282282279281281281282282282284283282281283282286285287285286285284284284286287285284286286286286284284281283284284280280280279282279278274270272272272271271271270272272271272271270271270271272273273273273273273273273274273275276277276276275274273271271269269268267267268267267266266266265265265265265265265265264264264265266266266266265266266266265264263262261261260260259259259259259259259259259259260258259259259259258258257258257257258258258258258259257258258258258259260260260260259260261262262261263263260258259260259258257258258258260259259261260259260260260259259259258259260260260259258258257258258258257257255256254253252251249251248247247248248248248247249249250250249250251252253252252253254254254255256256256257257259257258259260260261258259259259258257257258258257257257258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269271270269269269269268268267266265263263262260261261261260260261261261261262263264264265266267267268268268268268267266264263263262259257256255251243242247245243243236234233233238238239237236235236236235241241242241240243239237239241238238238244243243240243244248249246250248252253254258257257258259260262261261259258999999999999999999999999999999999999999999999999999999999999999999999262251245236254250999999999999999243244247241999999242242999999999999999999999999999999999999999999999999999261257262263266267268268267268268268268267267265265265266266266267268268268266268271272271271273273272274273275275276276276277277278278278278279279279279279280280280280281281281280280280280280281281281282280281280282281281282282283283283283282283282283283282283282283283283283282282284284283284283283283282281282282281281280280279280280282282282284284284285285286286287286286286286286285287285285285285285285285285285285285285284285283283284284285283283284286283283283283284285285285283284284283283283282283283283283283282283283283282283285284281281281285286284287286287285283282280286285285285285283283285284285285283284283285283281280282281277276272273272271272271270271272272271271271272271270271272273274273273273273272273273274274276276277276275274273272271269269268268267268267266267266266266266265265265265265265264264265265265266266266265265266266266266264264263262261260260259259260259259259259259259259259259259259259258257258258258258258259259258259259260259260259259259260260259260259260261262263260261261260259260260260259258257259258259258259259258258259260260259260261259260261261259259259259258257258257256257256255255253251251251249248248248248248249248248248251250252251252253253253255255256256257256256258255256257258257258258259259257258258259259259258258258257258257257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270272271271270270269269268268268265265263262261261260261260260260261261261262263264264265265266266267268268268268267265264264264260261257256254251248245245244243241235236236232236240234238233235233235235235236235235235242244237242243248242240246242241244248250251249999251252257256258259260260260261261262262262263261999999999999999999999999999999999999999999242241241999999245243999245262238241238243999999999999999999999245247240999999238235243999999999999999999999999999999999999999261258256258261264265267268267267268268269269267267267266266267267267267269267266269272272274274273273274275276277275277276275276276276278278278279279279279279279278279279280280281280280281281281281281282282282282282282282283282282282282283284284282284283284283284283283283283283283283283283283284283283283283284283282281282282282282281281281282282282283284284285286286286287287287287286287287287287287286286286287287287286286286286285285287286285285284284285283284286284284285284285285286284285284284284284284283284283284284284283283283283285283284285282285286282283287286284286282281282285283283285283283283285285284284283284284282283282280281280277278278276278275271273273272271272273272272271272272271271271272273273273273273272273274273274275276276275275274274272271270269269268268268267267267266266266266266265265266265265265264264265265265266266266266266266266266265265265265262261260260260260259259260259259259259259259258258258257258258258258259259259260259259259260260259259260259259260260260259260260262261261262261260260260259259259258259259260259260260258258260260260260259259261260259259260260259259259259258258259258258257254255254251252251250249248248248249249249249251250251252252252253254257256257257257258257258259259259258259258259258258259257257257259257257257257258258259258258258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269271272271270271270268269269268266265263262261260260260259260261262261261262263264264264265265266267267267267267266265264264263261259257257252250250250251250247240237238243235240231236228233234232231238237240238239237241239236234240239238239242244246251250250253253999255256258258260262262262262263263263264263263262999999999999999999999999999999999999999250249999233999246248246258256247235242240243999999999999999999999999999234236238239233233999999999999999999999999999999999265263262261262263265265266267267267268268269270269268268267268266266269268269270269268271272273271273275275276277277277277277277277277278278277278278278279279279280278278279279280280280279281281280280281281281282282282282283284282282282282282283283283284285284285284283283283283283283283283284284283284284284283283282283282282282282283282282282282282283282284285285286286287287288287287288287289287288288288288287288288288288287288287287287287287286285285285284284284286285284284284284284284284284284284284284284284284284284284284286287283284283283284285284284284286287284286286286285287287287287285285284285286282284284284284285285284282281282282282281280278279279278277276275274275274274272272270271271272271271272273274274273274274274274274273274275276277276275275275273272271270269268268268268268267267267266267267266266265266265265265265265265266265266266266266267266266266266266266266263261261260260260260259259259259259260259258258258257258258258258258260260259259260260260260260260259259259260260260260259261262261261259259259260259258259259259259260261260260259258260260259259261262260261262261260260260260259259259259258259258258257256254254254254252250249249249249250250250250250251251252253254256257257257258257259259258259259259260260260260259259258258259258257258257257257257258258259258258258259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270272272271271270269268268268267265263262260260259259259262261262262261262262264264264264265266266267268267266266264263262260260259257256253250250249249249253250251251245243240235236235239235234234239242236237238236236238238239239244245248250251251253253255255256255257258260260261263264264263263264265264264264261999999999999999999999999999999999999999249248248247246241249999999237236236239236999999999999999999999999999999233236239242241247999999999999999999999999999999999264264263263265266267266267267267267267268269269267267268266267266268269269270272273270271270272270274275275277277277277277278277277276278277278278279279279280280279279279280280279281280281282282281281281281282282282282282282283282282282282283283283284284284285285284284284283282283283283283283283284284284284283283282282282282282282282282283284282283284285284286286287287287287287287287288287288289290290289289289288289290288288289288287289286287287287287286285284284286284285284284284284284285285284284284284284284284284284284286284284282284284284284284284288286287283285287285286288288287288289286286285284284284283283285284284283282281282283283281282282281281280279278279279279276271271274272271271272272273273273274274274274274274273274274274275275276277276276276275274273271271270269268268268268268267268267267267267266266266266266266265265266266265265266265266266266265266266266266266266264261261261260260260260260259260260259259258258258258258258259259259260260260260259260261260260259259259259260260261263263263262261261261260259260259260260261262259259261259261259259260260261259262261261261260260261261260260258258259258257258258258255255254254253252253250250250251250251251252252253253254256257258258257259260259260260260259260261260260261260259259258258258257257257257256256257257259259260259258259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268271271270270269269268268267266266263262261260258258259261262262261261262263264264264265265266266267267267266265264263262261260259256255255253250249249248252254249248245244242234239239238239237238241244241240246244243243244243242248250253255255255255256258257259260260261262261263263264264265264264265265264999260256264245999256239247252254253999999999242247247236242243999999999248999999999999999999999999999999999999999999999234239243243999999999999999999999999999999999262263265264264266266267267267268267268268269267268267269268269269269267269270270271271272271272274274275276276277277278276277278278277277278278277278278279279279278278279279280280279280282282282282282282281281281282282282282282283283283283283284283284284284284284285285284284283282282282282283283283283284284284283283283283283283283283282283283283283284285285286286286287288289288288287287287287289288289289289289289289289289288288288288289290289288288289288287286286286286284285284285285284284285284285284284285285284284284284284284285285285285284284284285285283283282287287287286288288288286284283284285285284285285285286285283284283283284284281280284283282281281280280281279279279279273275275275274274274271274274275274274274274274274273274274274275275276276277276276275274273272271270269269268268268268268268268268267267267267266267267266266266266266266266266266266267266266266266266266266267266264262261261260260260260260260260260259259258258258259258259259259260260260261260260261260260259260260259261261262262262262261261262261262260261260259261260260260260260259261260260260261261262262261261260261260259261260259260259259259257258258256255254254253254253254251251251251252252252254254255255256257257258259260261260260259260259260259261260260259259259259259258257257257256256257257259258258259259259258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270270270270269268268267266266264263262260259259260261261261261261263263263264264265264265266266266266265265264263262260257258256254254252250249249248247247248247247245244241240242243244245246245248246248249248248248247246245251255256257257257258258259260261263263263260261999262262263266265264266999999999999999266260253245239251253233254251253244234242237232232999999999999999999999999999999999999999999999999999999999999241236247241259999999999999999999999999999262263262265265265266267265265267267266266268268267267269269266269267269267271269271271272273272273274272275274274277278278278278278278278277278277278279279279280281280280279280280280280282283282283284283282282282282282282282282282283283284283284284284284285285284285286286284283282282282282282282282283283283284284284284283283284284284283284283285284285285286285287287287287289289288288288288288288289289289290289290289289290291290289289289289289289288288289290288289288286285285285286285284285285284285285284284284284284284284284284284286288285286287284285286286286283282285285286286286286286286286287286285287287286285287286285284284284284283285284282284283283283282279280281280277278278279277274271273276272272275275274275275275274274274274274274274275276276277277277276276275274273272271270269268269268269269268268268267268267267267267266266266266266266266266266267267267267266266267266266266267267266264262262261261261260260260260260259259259258259259258259258259260260259259261260260260259259260260260261262261261261261262262262261260260260260259259260260259259261261260261260261261261260261260260260260260259261260260259259260259258258257258256254253253255254252252251252253253254254256256256256257258259259259261260261260261260259260261260260261259259259259259257257257257257257257257257258259260260259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270270270270269269268267267267267265264262260259260261261262261263264265264264265264265265266266266265264264263262260258257256255254253251251249248247247247248250247246246245245247248247246246248251254254254254253253254252253255257258258259260260259261262264265265264261261999260265266266268267271999999999999999999258243238246240258254222222225243246244245231244999999999999999999999999999999999999999999999999999999999257256258259258256254258999999999999999999260263263264265265265266266267265266266266267267266268268269267266267267269268270271272271272272272272274272274275275279278279278279278279278277278278278279280280280281281280280281281281281282283283284284283284284284283283282282283283284284284284284284284284285285285286286285284283283282282282283283282283283284284284284284283284285285285284285285285286286286287286287288287288289289289289288288288288289289290290290290290290290291290290290289289290290288289288289289290288287286285284286285285283286285286284285285284284284284284285284284285284285285285285286286285286284285285286286286286286286286286287288286286288287286285285285284283284284283284284282283281281281279280279281279279279278276281281279277274275275276277276275275275275274274274274275274275276276277277277277276276276274273271271270269269269269269269269269268268268268268267267266266266266266266266267266266267267266267267266266267268268267266265263261261261261260261261260259259259258259259258258258258259260260261260261261261262260260260260261262261260261261262261262260261260259260259259259260259259260261261260261261261263261260259260260260260260260260260259260260259259259257256255255254254254253253252252253254254256255256256257257259258258259260260260261260261261260260261260260259258259259258259258258257258257257257257258258259260260259261259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269269269269269269268267267267266264262261260260260261262262263263263264264265265265265266266264264263263262260258258257255254254253251251249247247247248248248248247248248248249248247248249250254258259257256257256257258258258259260261260260261262263263265265265263264261260264264264264270271999999999999999999999248248249248999999224228226248246247248243242999999999999999999999999999999999999999999999999999999254255257258262260261260259256999999999999999999262264265266265265264266266266266265265265266266266267267268267266266269269268270269269270273273273274276275277276275277277279278279280279280278278278279278280281280281281281280282282281282282283282283284284284284284284284284284284284284284284285285285285284285285285286286285285284284283283282282282283283284284284285285285285285284285285284285286286287287287287287287288288289289289289289288288288288289290290290290289290290290290290291290290290289289289287289289289290288289287288284286286285284284285285285284285284283284284284284284285284285285285286287287285285286284285286288286286288284285286285285287287286286285287286284283282284282283281282281283283282282281281279277281280278281278281279281280277279280280277277277276275275275275275274275275275275275276278278277277277276276275273272272272271270269269270270269270269269268268268267267267267266266266266266266266267267267267267267267267268268268267268266264262261261261261261261260259259259259259260260259259260260259260262262261261261260260261261261262262262261262261261262262260261260260260261259260260260259260261261261261261262262261260259260259260260260260260260260260259259259259257256255254254255254253253253254255255256256257256257258259260260260259258260260260260260260260260260260260259259259258259258258258257257257258258258258259258259259259259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267268268268268268268268268268268267266264261260260261262263264264264263264264264264265266266265264264263263262260260258258255254255252253256249246247247248249248248249248248247246999999246248256259262262260262262262263263262263263263263261261261263263263262264264261262261263263262267999999999999999999999999999999999999999999999999999251249249246220246999999999999999999999999999999999999999999999999999999999260256258257257259262259258258256999999999999999261262264265268267267268267266266265266264266265266266266268268265265268269270270270269270271272273273275276274275276277278279279278280280279279278278279279280280280282282281282282282283283282282283282282283283284284284285284285285285285285285285285285285285285285285286286286285286285283283282283283283283283283284284285285285285286285285286286286286287287287287288288288288289289290289289289289289289288289292288290289290291291290290291290289290290289290290288290288289289290290289289286287286285285286285285284284284284284284284284284284284285285285286286288288287287285286288288289288288289287287286289288289288287289288286285285283283282282283283283283282282282283282281279281280280280278279281280278277275278280280277277277276276276275275275275275275275275276276277277278277277276276275275274273272271270270270270270270269269269268268268267267267267267267266266267267267267267267267268268268268268269269268269268266264262262261261261261261260259260260260260259259260259261260261260261261260261260260260261262262262262262263261261261262261261261261261260260260260261261261261261261260263262262261261260261260260260260261260260260260259260259258258257257255255255254253253254254256258257257257257258259260260260260260260260260261260261260261260258259259260258258257257257258257257257258257258258259259259259260259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269268268270268267268269269269268266264262260261261261263263263263263263263263264264265265266265264264263263261260257257256254253253249253247246247248250251251251249248999999999999999999259260263265265266267266266267266265265264264264263263263267262263264262266260258260262265999999999999999999999999999999999999999999999999999999253220245244245243248999999999999999999999999999999999263264264264262999999999260259258258257260260260261259259260261259258256263267266266266266265268267267268266265265265266266266266268267267268269270268270269269271273274275275276276276277277278279279279279280280280279278278279280281282281282281282282282282283282283283283284283283284283284284285286286286286285285286285285285285285285285285286286286285286286285284284283283283283284284285285285285285285285285286286286286287287287287288288288288289289289290289289290290290290289289288291291289289290290290291291292291290291290290290289290289290289289289289289287286286285285285284284284284284283284287285285285284284285285287287287288287287288287286289287287288288288288289288288287287287289288288287288288287285283283282283282281282283282283282281281281281281279279279280280278279278278278280277277277276277276276275275276276276275275276276276278278278278277277277276275274273272271271270270270270270270269269268268267267267267267267266267267267266266266267267268269269269269269270269268268267266263262262262262262261261260261260260260260260260260260260260261260261261261261260260261260261260261261262261262261260261262261261261261260260260261261262261260262263263263263261261260260261261260260261262262260260260260260260258256256255255255254253254254254256257257257257258259259260261261261261261261260262261260261260260259259259259258258257257257257257257257258257257258260258259259259260259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269267269269269270269269270268266263262261260261261262263263263263264265264264265265266266264264265265265262261260256255254253253250250246247249250252252252251248999999999999999999999259264268269271270270269269268268267266264264265265265266268265262262265261258263999999999999999999999999999999999999999999999999999999999999243252241241238241243244999999999999999999999999999264264267263267266265264999260259258258258259259260260260261263260258257259263262267266267267266267267266265265265265266267266267266266268268269269269269268269269271273273274274275276275276277277277278278279279279281280280279278279280281282282281282282282282283283283283283283283283284284285285284285286285285286286286286286286285285286286285286286286286286287286286284284284283283284284284285285285285286285285286286286286286287288288288288289289289289289289291291290291290291292290289289290291290290290291291291291291291291291291290290290289287290289290289288288288287287286284285285284284284285285286285284284284284285285285287287288289288288288285286286287286287287286288287286287286286286287287289288287287287287285285282284283283283282282281282281280281281281281280280279280278278279279278278278278278277277276276276276276276276276276276276277279279279279278277277276276276274273273272271270270270270270270269269268267268267266267267266267267266266266267268269270270270270270270269269269268268267265263262262262262262261261261260260260260260260261260260261260260262261261262261261261260260261261263261262263262262261262262262261261260261261262261263261262263263262263262261261261261261262263264261263263260260260260260260260256256255255255255256255256256257257257258258258260260260260261261260261260261262260261259262260258259258259259258257258256257257258258258258258258259259259259260259258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267268267267268269270270269270268265264262260260261260264263264263265265265266265265266266265264265265265265263261259256255253252251249249248250251252253254254252250999999999999253256261265269270271270270271271271271270270268268266265265266268268260262260256260263264999999999999999999999999999999999999999999999999999999999999999999252238238239242232239246999999999999999999999265268266264264264265263263261261260258255257259261261262261263262259258259261264265265265267266266266265266266266267267267265267267268267267266267268268269270271272272273274274275275276276276275277278278277278279278279278280278280280281281282282281283281282283283283283283283284284286285284284286286286286286286285286287286286286286286286286286286286286287286286285285285284284284285285285285285286286286286286286286286287287288288288289289290289290290290290291291291291291291292290289290290291291292291292291291291291291291291291291290288289287291289290289288288288288288288286286285285283285285285284285284284284285285286286287287288286285287286285289287286287287287287286286285287285286285285288289285288288288287286287286285284283283282283282281280280281281279280281280280280279278278278278279278278278277277276276276276276276276276276276276276279279279279279278278277277276276275274272271271270270270270270269269268268268267267267266266267267266267268268269270270270271271270269269269268268268267266265263262262262261261261261261261261260260260260260261262261261261262261259260262261261262262261261261262263263262262262262262261263263263263262262262262263264263262263262262262261261261261262262261262261261261260261260260259258257257256255255256256255257257258258260259259260261261262262263262264262262261261261260260259258259258258259259257258257257257258257258258258258257259259260260259258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268268268268271271270269268268265263263260260261263264262263263263265266265265266266265266265265266265266264261261257254254250250249249248250251252254255254255256255257257257259261265268270271270273271272272273273272273272272269267266267270270262262259260259262263266999999999999999261262999999999999999999999999999999999999999999999236238238240237246999999999999999999999264266266265264266266267263266266263261261257256259260261262261264263263261260262265266267267267267266266265266266266267267267267267267266267265265268269269270271271272272273274275275275276277275276275277277277278278278279279279278279280281282281281281282281281282283283283283284284285285285285285286286286286287286286287286287286286286286286286286286286286286285285286285285285285285285285286286286286286286286286287287287287288288289289289290290290290290290291291292291291291292291291291292290289291291292292292292291293290291291291292292292291287288292289290290289290289288286287287284284284284282284284284283282284286286287287286286286286286287287287287286287287289288289287286286286288288286287287288288287287287287285285284285285285283283283282281280280280280280280282283281280279279278279278279279278278277277277276276276276276276276276277277277278279279279279279277278278277276276274274273272271270270270270269269269268269268267267267267268268268268269270271270271270270269270269269268267267267267266266265264263263262262262262262262261261261261261261262262261261261261261261261261261261261262262261261262263262263262262262264264265264264264263262263263263263263263263263262262262261261262262262261262261261260261261260259259259259257257255255256256256257258258259260259260261263262263264264264262262262262262261260263258258259259259259259258259258258257257259258257258258258258258258259258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268266265269271269271269268268266265263260260261263263263263264264266266265265266266265266265265266265264263262262263259256251249248249255255250251253254255256258259261262262262265268270270272273272272273274274274273273272271269268268268271270266265261261261263264266267275999999999264268999999999999999999999999999999999999999999999253253258259261264999999999999999999263265267265265266267268266265266265266264263264262262262263263262263264265264261262266267267268268267266267266266266266267268268267267267267267266267268268270270270270272272273274275275275277276277275276277278278277278279279279279279279280280282281281281283282283283283284283284284284284285285285286286286286286286286287287287287287287286286286287286287287287286285286286286285286286285286285286286287286287287287287287287288288289289290290291290290290291291291292292291292291292292291290291292291290290291291292292292292292291291293293293289289290287287290289291290289288286288286287287286285285284284283285284285285285287287286286285285285286287286286286287288285288289288289287287287285286288287284285286287287287285286284285284284285285285284283282281280281281281281280281281281280280280279279278279279279279278277276275276276276276276276276276277278278279279279279279278278278277276276275274274274273272271271270270269269269268268268268268269269269270270271271271270270270270270270269269267267267267267266266266266265264263263263263262262262262262261262262262263262262261261262261261262262261262261261262262263263263263263263263264265266265264266265263264264263263263263263263262263263262262262263262262263262262261262261260260260260259258258256257257256256257257258259259259261262262262264264263262262264263261261260259259258259258258259258258258259258258258258258258258258258257257257259259258258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266265267272269270270270268264264262261261262263263264264265265267269269268267267266267266265265265264263263261260260257255247250249255255250254251253254256257259261263264266266267270270271275273274274275275275274274272270271270272271270270269267264264265265266999999274999999999264267268999999999999999999999999999999999999999999255252260264264263260999999999999263265265267267268268269267268269268268268267268268267266265266264266265264267265264264267267265267267267265266266266266267267268268267267266267266266267267267269269270270272273273275275276277276275276277277277278278278279279279280279280279280280281282281282282283283283283283284284283285285284285286286286286286286286287287287287287286287287287287287287287287287286286287286286286286286286286286286287287288288288288288288288288289290290291291291291291291291291292292291292292291292292292292292292292291291291292292292292292292292291292291291290290288290290288290288288287287286287287287287287286285285284285282285286285287287286286286284285286286285286284287287286289286289286287288288287287287287285286287286286287287285284282284284283285284285284283282283282281281280281280281282281281281280280279279277280279279278278277276276277277276276276276276277277279279280279279280279278277277277277276276275274274273272272271271270270269269269269270270270271271271271271271271270272270270270269269268268267267266267267267266266266265265265265264264263263263263263263263262263263263263262262262262262262262261261262262263264263264265264265265266265266266265265264264264263265264264263263262263263263262262263263263263263263264262262261261261261260259258259257257257257257256257258258259259260262262262264264264263263263262261259261260259259258258258259259258258258257258259258259258257257257258258258258257257257256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264266266269270269270269268264264263264263262263264263266266268268270270270268268268267267266265265267264263262259260257256251250251255254253252253252255257258259262264266267270269270272274277275274275276277274274274272271271271271270270269265268268268269269269270999999999999999999999267269999999999999999999999999999999999999999999261265264268264263264999999999263265268268270270271272270273273272272272271272273272270270271269269268267269268267267267265267266266266267267266267267267268269267267266266267267267268268269270270270270272272274275276276277277277276277277278278278278279279281280280280281280280282283282282282282283284283283283284283284285285285285285287286286287286287287287287287287287287287287287288288287287287286287287286286286286287286287287288288288289288289289289289289290291291292292292292292292292292292292292292294293293293293292293292292292291291291294292292291291291291291291290290289289290291290289288288287286287288288287286285285284285285285286287288287287287286286286286284285285286288287288288287286284284289287286287287286286288287287288287286287283285285284284283283284286285283282283282282281281281281281282282282280280280279280279279279279279279278277276276277276277276276276276276278279279280280280280278278277277277278277277276276275275275274273273272272272271271272271272272272271271271271270271271271271270271270269268268267267268267268268268267266266267266265265265265265265265265264264263264263263263263263263263263264263263263263264265264265264266266266266266266267266267266265265264264265264263263263262262264262263263263264263264264263262262263262262261261260261260259259258257258257257257258258258259261262262263264264264263263263263261259261259259258258258258259258258257258258258258258258258258257257258258258257256257257256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265265268268268269270266266265264265264263265264265265266268269269269268269270268269268268267266266266265263262259257256255251250256254253252252252252254256258261262264265266271270272275276275276276276277277275275275273272274273268270999270266268270270270271271270270999999261261999999266268999999999999999999999999999999999999999261263270269268263262264268267268267269270272272273273275276275275276275275276276277275274277275273273272269270271269267267267266266266266266266266266268267268268269265267266267268268268268270271270270271271272274275277277277277278278278278278277278278279280279280280279280281281282282282283282283283283283283283284284284284285286285286286286287287287287287287287288287288288288288288288288288287287287287287287287287287287287288288288289289289289289290289289290291291292292292292292292293292292292293293294294294294293293293293292292292292291292292292291292291291290291291290290290290291291290289290288290290290289287288287287284285288286287286288286288288288288287286287288288287288288289288289288289289288287288289289287287289288287287288285286286285285283284284283283284285285284282283281282282281282281281281281281280282280280281280280280279279278278277277277277276277276276276277277277279279280280280280279278278278278277277277276276276275275275274274273273273273273272272272272272272272271271272271271271271271270269268268268269269269269268268268268268268268267267267266266266266266266266266265265265265264264264265264264265264264264264265266265265266266267267267267267268267266265266265265265264263264263263263263263263263263263264263264263263263263262262262262262260260260260260259259258258257257258258259259261262263263264264264264264263262262261260259259258258257258257258258258258258258258259259257258258256257257257256257257257255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267266267269270267268267266265266266265265265267266267269269269270267271271271271270269269268267266265264263259257257259250258257256253254254255256255258260261263265266268270272274275276275276276276277277276274273273273273274270271999999269270270271270271271271270261259259258999262266269999999999999999999999999999999999999260264266267267267267269267270271270271273275275276276277278278277278279277278279280278277276277277275273274272272272271268267266266266266266265265266266269267268268266266267267267267269269269270271271271271273274273276277277277277277278277277277278278278279279279280282281282283282282282282283283283283283284283283284284285285285285286286286287287287287287287287288288288288288288288288288288288288288288288287287287287288288288287288289289289290290290290290290290291292293292292293293293293293294293294294295295295295294293293293293293293292292291292292291291292291290290290290290290290291291290289289288291288290290289288287284286286289287287287288287287288286287288289283286289288288286289289288290289289288288289289290289288287287288287285286286286285284284283283283283283284285284283283281281281281281281281281281281279282281281281279279279280279278278277277277277277277277276276276277277279279280280280280279279279278278277277277276276275276275275274274274273273273273272272273273273272272272272272272272273272271270269269269270270269269269269269268268269268269267268268268267268267268267268267267267266265266266268266265266265266265266266266266267266267267268268268269268268267266266266266265265264264263263263263262262262262263263264264264263263263263262263263263262261261261261261260259259258257257258258259260262262263263264264264264264263261262261259259258258258258258257259258258258257258258259258258257258256257258257257257257256255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267269270269268268268267266266265266265267267266268273271270270270270271271271271270270268268267265264264262259258260258260258256254253254255256255257260261263266270269271272275276277278276277276277278277276275273272273273270268269270270272271272271271271271269264261258257260262270272999999999999999999999999999999999258262266266267267269271270270271271272272273275276277277277278278278279280281279278280280278277278277275273275275275272272270268267266267265265266266267266268268267268267266267268268268269270271272269271271273273275275276277277277277277277277277277277278278278279280280281282282282282282283283283284283283284284284284285284285285285285286286286286287287287287287288288288288288288288288288288288288288288288288288288287288288288288288289289289289290290290290291291291292292293292293293294294294294294295295295295295295295295295294294294294293292292292292292291291291290290290290290291291291291291290289289290289289289289288288286288288288287287285286288288288288285290290289288288288286287288289290290289288288289289288288287287289288284283288286286286284285284283284284284284284282284285283282282282282282282282282280283281283282281281281278278279280279278278278278277277278277277277276276276277279279280280280280280279279279278279278278278277277276275275275274274274274274274273273273273273273273272272272273273272271269269269270270270270270270269269269269269268268268268268268268268268269269269269268268268268267267268267267266267266267267267267267268268268269267269269269270268268267267266266266266265264265264264264264263262262262264264264264265264263263264264264264263263262261261262261260260259259258258258258259260262263264264264264264264264263262262261260259258258258258258258258257258258258257258258257257257256257257257257257257256255254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271271270269268266265268266265269268267272271269269270271272272272272272271271269268267266265264263261257255260261258257256255256258257256257259262264266268270272273277275275277278279278277277277276276272272273272271272271272272273273272270272272272271269265999999999999270272999999999999999999999999999999999260263267268269268270271271271272272273276276279279281280279278280278279280280278278278278277277278277276276275275275274273272270269268266266265265265266267267267267267267267267268268268270271270271271271271273274276276276278277278277276277275275277277278278279279280281282283282282282282283283284283283284284283284284284285284284285285285286287287287287288288288288288288289289289289288288288289288288288288288288288288288288288288289289289289290290290290291291291292293293293293293294294294295294295297296296296296296296296296296295295295294293293293292292292292292291291291291291291291291291291290289289288289288288287286288287287288289287288290289288288291286289287290290290289289289289291292290290290289289289289289288288288288288289287287286286285284283284286284285284283281282284284283281283282282282282281280280281281282281281280279279279279280280278278278278278278278278277277276276276277278279280280281281280279279279279279279278277277277277276275274274274274274274274273273274272273273273272272272273272272270269269270270271270271271270270269269269269268268269268268268269268269269269270269269269269269269268268268268268269268269268268267268268268270269269270270269270269268268268267268267267265265265264264264264264263262263263264264264264264264264264265265264264263263262262262261261260259259258258259258259260262263264264264264264264264263263261261259258258257257258259258257257257258258258258258257258258257257258258257257257256256255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271272272271268267266266266266266266270269269270270271271271273272272271271271269269267266265264263261258256262259258257257256257258257256258260263264266266270272276274275277278279279279278277277277276275273275274273273272272273273273272272273273272272271268999999267269270999999999999999999999999999999999260264266269269269269268269274275276274275277279279280281282281281278279278279279279278278277278277277276277277275275275275275274272270268267267265265265265266266268268268269269268270267270270271272271270272272274275276276276278277277277276277276277278278279279279280280282282283283283283283283283283284283283284284284284285285285285285285286286287287287287288288288289289288289289289289289289288289289289289289288289289288288289289289289289289289290291291290291292292292293293294294293294295295296296297297298298297297296297297297297296295295294294293293293293292292292291291291291291291291292291291290290289290287287287288289288288288288288287289290290289290291291291289287289292290289289290291290292290290290289289289289288288288288287287284286287286285283283283284284283283284284284283285282282282281281282280282282282283282282282281280279280280280280279279278278277278278278278277277276276276277278279280280280281280280279279279279278278277277277276275275275274274275275275275274274273273272273273273273273272272270270270270271271271271270270270270270270270269269269269268269269269269270270270270270270270270270269269270270269269270269270269269269269269269269270269269270270270269269269269269268268266266266266265264264264263264263263264264265264265264264265264265264264264264263263263262261260259259259258259259259259260262263263263264264264264264263263263261260259258258257257259258258258258258257258258258259257258258258258259257257257256255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272273272272270269268265266264264267267268269270269271271272272272272272270270269269268267266265264262261263264260259258256256255255256258261262264265266265272273275275277278278279279279277277277278278276274274275273273273273273273272272273273273273272272270999272272273274999999999999999999999999999999999263265268269270269269270272275276277279279280280280279281282281281278278279279279280278278277277276276276275276275275274276275275274271271268268266265266265267267268268270270270270270271271271272273270271271273275275276276276277277278277277278278279279279280280280281281282282283284284284283283283284284284284284284285284284285285285285285286286287287287287288288288288288288289289289289289289289289289289289289289289289289289289290289290289289290290291291291291292293293293294294294295296296296297297297298298298297297297297297297297297297297295295294294293293293292292292292291291292292292292292291290290290291290289288289289288288288289289288287289290289289290290288289289288290290290289290291292293292292292291290290289289288288288287287286286286285285284284284285283282281284283282281282282282281281281280282283283282283282282282282282281281280280280280279278278277277278278278277277276276276277278279280279281281281280280280279279278278278277277276275275275275275275275275275275274274273273273273273273273273272271271271271271271271270270270270270270271270269270270270269270270270270270271271271271271270271270270270270270270270270270270271271270270271271271271271270270271270270269270269268268268267267266266266265265264264264264264264264264265265265265264265265264265265264264263263263263261261260258258259259260259260261263263264264264265264265264263262261260259258259258258258258258258258258258258258258258258258258258258257257257257256255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268270271269266265265264263264266266267268269269270271272272272273272271271271271270269267266265265264264263262261259258256252254257259261263264266266267270271274274276277275279280279278278278277277277276275274273273273273273273272273273273274273273274271270272274999999999999999999999999999999999999999267268269268269270272273274277278279280281281281280280280280280277280280279278278278277278276277275275275274274273274274275275276274274273271270267267268266266267269269271271271271272271273273273272271271273275275276277278278278277278278278279279280280280280280281281282282283283284284285285285284285285285284284284285284285285285285285286286287287288288288288288289289289289289289289289289289290290289290290289289289289289289289290290290290290290291291292292292292293293294293294295296297297297298297298298299298298298298297297297297297297297296296295295294294293293292292292292292292292292292292291290290290290290289289290289289289287289288291287288287287288289286288290289290289289290290290290291291291291291291291290289290289288288288286286283285285286283283283284282284284284281282279280282280282281281283283282283282283283284282283283282281278280280280280279278278278278278278277277276277277277278279280280281281281281280280280279279278278277277277276276275275275275275275275275275274273273273273273273273273272272271272272272272271271271271271271270271270269270271270270270271271271271271272272271271271271271271270271270270270270270271271271271271271271271271271270271270270270270270269269268268267267267267266266265264264264264264264264265265265264264264265265266265265264264263263263263262261260259259259259261260260261262263264264265265265264264263262261260259258258258258258257257257257258258258258258258259258258259257257257257257257258256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269268266265265263263264265265266270270271272274274277273272273272272271271271269268267266266266264263261261262260258254256258260262262265267267268270272273275275276276278280279279279277276278277277274274275274275274273274273273273274275275274275273273269999999999999999999999999999999999999999264267269268269271273275276279280281282282282282281281280278279278278280278278278276276276275273274273275276274274272272273274274274274274273273272271269269267266267268269271271272272272273273272271271272273274275276276278278278278278278279279280280280280281281281282281282283284284285285286286286285286286285285286285285285286285286286285285286286287288288288288289288289289289289290290290290290290290290290289289290289290289290290290290291290291291291292292292293293293294294295295296297297297298298298298298299298298298297298297296297296297296296296295296295295293293293293292292292292292292292292291291291290290290290290290290289289290289291290287289287289287288288289289290289289289290290291291291290290292291291291289290291290289289288288288286286285282284284283284283282283281283283283283283283284283282283283283284283283283283283283283283282281280280280279278278277278278278278278278277277277277278279280280281281281281281280280280280279278278277277276276276275276275275275275275275275273273273274273274273273272272272272273273273272272271271271271271270270270271271271271270271272271271272272272271271271272272271270271271271271271272272271272272272272272272272271272271271270270270270269269268269267268267268267267266265265264265265265265265265265265265265265265266265265265264264264264264263262261260259260260261261260261262262263264264264265265264263262261260259259259258258258257257257257258258258258258257258258258258258257257257256257257255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275999999999999999999999999999268266265265263264264266268266267268269272273275275273272272272273272271269270268268267266265264262262262264261259257257258260263264265266269269271272272274274276275277278278278279278277277278278277277277276276275275273273274274275275276275275275274271999999999999999999999999999999999999999263267269272273274276279282280282281282283283281281280279277279279277276276276275275274273274274273273273274273275273273275273272272274276276273272271271270268268267267270270271271272272272272271271271272274275276277277277278277277278279279279280281281280280281281282282283284284285285286286286286287287286286286285285285285286286285285285285286287287288288288288289288288289289290290290290290290290290290289290290290290290290290290291291291291291292292293293293293294294295295295297297297297298298298298299299298298298298298298298298297297297297296296296296295295294294294293293293292292293293292292291291291291290290290290291291290290289290289289290290290289289289289290289289290289289289289290290290290290290291291291291291291291290290289289286285286286285284284284284283284284283285284284284284285285284284284284284284284284283284284283283283282281281280279279278278278278277277278278278277277277277278279280280281281281281281281280280280279279279278277277277276276276276276276276276276275274274273274274273273272272272272273274274273272272271271270271271271271271271271271272271272272272272272273273272272272271272271271272272272272272272272272273272273273273273273272272271271271271271270269269269269268268268268267267267266266265266266265266266265265265265265266266265266265265265265265264264263263262261262261262261260260260261262263263264264264263263263262261260259259259258258258257258258258258258258258258257258258258257258257256256256257257256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276999999999999999999999999999999267265265264263265266271270266268269270274274275272272272275272271271271270269268267268266265264264262264265262259259260260266266267268270270271272271275276277276276280279279278278277277279279277278277276276276275274273274274276277276276274272272270999999999999999999999999999999999999999264268270273276278280281282283283282283283282280279277277278279277276276276275273273272271271271271271272272272273273273273272272273274274274273275274274273272270269269270269269270271270270271271271272273276276277278277277277277278278279280280281281282282281282283283283284285285285286286287287287287287286287286286286286286286285285286286286286287287288288288288288289289288290289290291291291291290290290290290290290290290291291291291291291291292293292293293293293294294295295296297296297297298298299299299299299298298298298298298297297297297297297296296295295295295295294294293293292293293292292292291291291291291291291291291291291291291290290290290291290290290289289288288289288290289289288289289290291291291289291291290291292292291290289289287288286286285285284284285284284285285285285284284285286284284285285284285285284284284284284283283283282280281281280280279278278278278277278277278277277277277278279280281281282282282282280280281280280280279278277277277277276276276276276276276276276274273274273274273273272272272273273274274273273272272272272272272272272272272272272272272273273273273273274274274273273272272271272272272272272272273272273273273273273272273273272272271271271271270270270269269269269268268268268268267267266266266266266266266266266266266266266266266266266265265265265264264264263262262262261261261259259260260262262263264263263263264263263262261259259259259258257257258259259259259259259259258258258258257257258257255256257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278999999999264256999999265264265264264266266269265267269270271271273274272274274275273272272274273268268268268267266265264264264265266262264262268267268267269271271272273275277277277277277281280282279278278277279279278277277276277277277275275275275277277276274274274274274276999999999999999999999999999999999999267271274275278279282283283285285284285282281278278276276276276276275274273273272273271271271270270269270271271271272272271273273274273274275274274275274275274272271270270269271270270270270271272273274276277277277278277278277278278279280281281282282282282282282283284284285286286286286286287287287286287287287287286286285286286285286286286286287287288288288289289289289289289290290291291292291291291291291291291291291291291291291291291292292292293293293293293293294294295295295296297296297298298299300300300299299299298298298298298298298297297297297296296296295295295294294294293293292292292292292292292291291291291291292291291291291291291291291290291291291291290290289289289289289289289288289289289289291291290290289289290290291291291290290289287287285284284286285284285284285285286286286285285286285285285285285285285285285285285284284284284283282281282281280279279279278278278278278279277277277277278278279281281281282282283282281281281281281280279278278278278277277277276276276275276275276275274274274274273273272272273273273274274274273273273273273272273272273272273273273273273273273273273274274274274273273273273273273272272273272272272272272272272272273272273274273273272272272271270270270270269269269269269268268268267267267266266266266266266266266265266266266266266265265265265265265265264264264263262262262261260261260260260261262262263263263263263262262262261261260259259259259258259260259259259258259258258258258258257257258257257256256257256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281999999999999264268265265265265267267268266267268269270270271273274273275275273273273274272270268268268268267265266266265265265264265267268266271268269270271275273273275276276276278279281282281280280279279280279279278277277277277277276275276276277277277276277274274276277999999999275273999999999999999999999270274275278279281283282285285284285282281279278277276276275274274273272271271271271271271270270270269270270270270271270270272273275275275275274275275275276275274274273272272272272272273273272274275275277278277276277277277278279279280281281282282282283282283283284285285286286287286286287287287287287287287287286286286287286286286286286286287287287288288289289289289289290290290291292292292291292291291292292292292292292292292292292293293293294294294294294294294294295295296296297296298298299299300300300300300300299299299299298298299298298298298298297296295295295295294294293293293293293293293292291292291291291291292292292292291291292292292291292291291291291291290290290289290290289290290288290290290291289290289290291289290291290289290290288288287288288287287285286286286286286288287288286286286286285286286285286285285285286285285284284284283282282281281280280279279278278278278278278278277277277278279280281281281282282282282281282281281281280279278278278278277277277276276276276276276276275274274274273273273272272273273273274274274273273273273272273273272272273272273273273273273273273274274274275274274273274273272272271272272272272272271271272272272272273273272272272272272272272271270270269269269269269268269268268268267267267267267266266266266266266266266266266266266265265265265265265265265264263262262261261261260260260261261262262262263263263264263263262263262261260260259259260260260259259260259259260259258258258258257256257258256257257256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274272999999999268266266265267267266267267269270271271272272274275274274272273273272271271270269270269269269269269266267266266266268270268269271273271271273275275276276277278280282281283283281280281279281281280278278277277277277277276277277277278277277277275276275277999999999273999999999999999999999269273276278279281281284280285283283282282282282276276275274274272273270272270270269270270269269270270269269270270270271271273273275275276275275274276276274276277275276276276276275274275276276275276276277278278277277278278277279279280280281282282283283283284284284285285285286287287287287287287287288287287287287287287287287287287286286287287287288288288288289289290290290290291291292292292292293293292292293293293293293293293293294293293294294294295294295295295295294295296296296297297298299299299300300300301301300300300300300299299299299299298298299298298297297296295295294294294294294294294293292292292292292291292292292292292292292292292292292292291292292291291291291290291292291290291290290291291289291290292292292292292292292291292292291289289290289289288287289288288287287287288287286284284286286286285285285285285285285286286286284284283282282281281281281280280279279278278278278278278277278278279279280281281282283283282283283283282281281280279279278278277277277277277277276277276277276276275274274273273273273273273274273274274274274274273273273273273273273273273273273273273273274274274274274274274274274274273272272272272271272272272271271272272272273273272272273272272272272271271270270269269269269269268269269268268267267267267267267267267267267266266266266266266266265265265265265265265265265264263262262261261261261260261261262262262262264264264264263264263262262262262261261262261261259260260260260260260259259259259258257258257258257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273271272269268266268268267267265266268269270271271274274274272272275273272272272271270271270270270268269268269269269269270269267270269271272272273272274275277277278278280281281283283283282281280279282281281280279278277277277277277277277277277278277277278277275275999999273275999999999999999999999271276277279280282283283283283281283282280281277275273273272272271271269271272272269269268269268269268269269270270270271271272273274274274275276275276276277277278277276277278277277277277277277278277277278278278278278278278279279280281281282283283283283284284284285285286286287286287287287287288287287288288288288287287287287287287287287288287287288288289289289289290290290291291292292292293293293293293293294294294293294294294294294294295295295295295295295295295295295295296296296296297297299300299300300300301301300300300300300300300299299299299299298299298298297297296295295295295295295295294294293293293292292292292292293293292292292292292292292292292292292292291291291288290292290291291291290292291293292291293289292292289292292293292292292292290290291290289289289288289288288287287287287285285284284286286286286285286286286285287287286285284283282282281281281280280280280279279279278278278278278279280280281281281282283284283283283283282282281280279279278278278278278277277277277277277277276276275275274274273273273274274273274274274274274274273273273273273273273273273273274274274274274274274274274274274274273273273272272272272271272272272272272272273272273273272272272271271271271270270270270269269269269269269269269268269268268268268267267267267267267267266266267266266266266266266265266266266265265265264263263262262261261261262262262263262263264264264264264264264263263263262261261261261260260260261261260261260260260260260258258258258257257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272269270270269270267265266266268269269271272273273273273273275275273272271271272271271270270270273271268268267268270271272271271271273272274275275276277277280279281282282285285284283281282281281282281281279279278277277278278278277277278278277277278276276999999999999278277999999999269268268273275277279282283284283284283282282280279277274273274274272273272271271271270269269268269269268268268268268269269270270271271272272272273275275276276277278278278277278278279279279278278278277278278278278278278278278278278279280281282282283283284284284284285285286286286287287288288288288288288287288288289288288288288287287287287288288287287288288289289289289290290291291291292292292292293293293294294294294295295295295295296295295296295296296296296296295296296296296296296296296296297298299300300300300300300300300300300300300300300299299299299299299299298298298297297297296296296296296295294294294293293292293292292292293293292292292293293293293292292293292292292292292292290291292291291290291291292292292292293292293291292292293292292292290290289290290289289287287288287286286287286286284285286286286287286286287287287288287287287286286286285283283283281281281281281281280280280279278278279279279280280281282282282283283283283283283283283282281280279279278278278278277278277277277277277277276276275275275274274274273274273274274274274274274274274274274274273274274274274274274274274274274274274274274274273273273273273273272272272272272271272272272273273273273273273272272271271271271270270269270269270269270269269269269269269268269268268268267268268268267266267267266266266266266266266266266266266265265265264264263263262262262262261262262262263264264265265265265265264263263264264262262261261261260261261261260261260260260259259259258258257257257257258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270268266268267267267265265265266268268269271272274274273274274274275275272273273273273272272272271271271271271271273272273273272274274275275275278278278280281281281283284286286284283283281282282282281281280281279279279280280279279278279280280279278279277274275999999999275999999999268270273276276279280281282284284283283282280278277276274275273273272273271271270270270268267267266267268268268268267268268269271272270270271272272274275275276277278278278278279278278279279280279278278279278278277278278278279279279280281282283283283283284285284285285285286286287287287287288288288288287288289289289288287287288288288288288288288288288288289289289289290290290291292292292293293293293293294294294295295295295296296296296296296296296297297296296297296296296296296296297296297297297298299299300300300300300300299299299299299299299299299299299299299299298298297297297297297297296296296296295295294293293293293292292292292292293293293293293293293293293293293292292292292292291292291291291291292292292294292294294294292292292292292293291291292292292290289290288287286287288288286286287288287287286287286286286287286286287288287287287286286285284283283282282282282282281281281280280279279280280280280281281282282282283283283284283284283283283282282280279279278278278277278278278277277277277277277276276275275275274274274274274274274274273274273274274274274274274274274274274274274274274275275275275275274274274273273273272273273273273272273273273273273273273273273273273272272272272270270270270270269269270270269269269270270270269269269269269269268268268267267267267267266266266266266266266266266266266266266265265265264263263262262262262263263262263265265265265265265264265264264264264263262261261260260260261261261261260260260259259259258258257258257257258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268267267267266264265266266266267267271274272273274273274274274275275274275274274275275274274274272273272273273274274274274274275275275278276278279280281282281283284284285285284283284282282281283281282281281282281281282281281282281283283283283280280279278276276276278276999999271273275276277277280283282283285283283281281278276276275274274273273273273272270270270269268266266266267268268268268268268270268269270270270272273271272273274275277278277277279279278278279279279278278278278278278278278278279279279279280281282283283283283284285285285286286286287287287288288289289288288289289289289289289289289289289288288288288289288289289289289290290290290290291292292292294293293293294294295295296296296296296296296297297297297297297297297297297297297296297297296297297297297298298299299300300300299299299299299299299299299299299299299299299299298298297298297297297297297297297297297296295295294294294293292292292292293293293294294294293293293293293293293293292292292292292292292291291292292292292292293293293293293292292292292290291290290291290290290290290289289288287287287287288287288288288286286286286287284284286286286285286285284284283283282283282282282282281281281281281281281280281281281282282282283283283283284283283283283283282281280280278278278278278278277277277277277278277277277276276276275275275275274274274274274274274274274274275275275275275275275275275275275275275275275275275275274274273274273273273274274273273274273273274274274274274274274274273273272272271270270270270270270270270269270270270270270270270269269269269268268268268268268268268267266267266266267267267267266266266266266265265264264264263263263264264264264264265265265265265265265265265265265264263262262261260261261261261261261261260260260260260259258257257257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267267267266265264263263263267270273274274273273275275275276276276275275275275275274275274274274276275275275276276276276275275276276276276281281282282281283285286286286284285284283282283283283283284284284282283283282282282284284284284285282282281280279278278277999273274276276276276276279279282284284283283282282281277276275275274274273273272271270268268269268268267267266267268268269269269268269269270270270272272272273274272273276275277277278278278279278279279279279278278278278278278278278279279279280281282283283284284284284284285286286286286287287287288288289288288288289288288289288288289288289289288288289289289289289289289290290290290291291291291291293294293294294294295295296296296296296297297297297297297298297297298298298298297297297297297297297297297298298299299299300300300299299299299299299299299299299299299299299298298298297297298298297297297297297297297297297296295295295294293293293292293293293294294294294293293293293293293293293293293292292292292292291291292292292293291293292293293293293293291291291290289289291290291290289289290290290288288288288287288288288287286285286286286286286285285285284284284284283283282282282282282282281281281281281281281281281281281282282283283283283283283283283284284283283282282281280279279279278278278278277277278277277277277277277277276275275275275275275274274274274274274275275275275275275275275275275276276275275275275275275275275275274274274274274274274273274274274274274274274275275275275276275275275275273273271271270270270270270270270270270270270270270270270270270269269269268269268268268268267266266266267267267266266266266266266266266265265264264264264264265265265265265266265266265266266265265265264265265264264263262261261261262261261261261261260261261261260259259258258258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266268265266265265261262264264264269272273273274277275275275276276275276275276276275274275275275274276275275277277277277278277276276276278280282283283283284286287288287285284283284282281283283283283284283283283282282283284284285284284285284284283283281280280280277276278278277276276278279281281282281283282282281280278276275274274273274273273270270270269268267268267266266265266266267268268269270270270270270271271271271272273273273275276276276277277278278278278279278279279278278278278279278279279280280281282283283284284284285285285285286286287287287287287288288288288289289288289289289289289289288289289289288288289290290290290290290290291291291291291292292293293294295295295295296296297296297297297298298298298298298298298298299299298298298298298297297297297298298298298299300300300300299299299299298298299299299299299299298298298298298298298297297297297297297297297297297297296296296295294294293293293293294293294294294294294294293294294294294294293293293293292292291291291292292292292292293293292292292293292292292291291289291291290290289289289290288288287288288289287288288288287286286285285284286285286285286285284285284283282281282282283283282282282282281281281281282281281281282283283284283283284283283284284284283283283282281280279279279279278278278278278278278278278278278277277276276275275275275274274274274274274274275275276276275275275275276275276276276276276275276276276275275275275275275274275274275275275274274275275276275276276276277276276276276275274274273272271271270269270271271271271271270270270270270270269269269269269268268268268268267267267267267267267267267266266266266266266266265265265265265266266266266266266266266267267266266266265265265265265264264263263262263261261262262261261262261261261261260260259259258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271270271267265266264263262259259259262266269269269271274274274275275276276276276276276276276275276276275275276277277277278278279279278277278278278281283284284285287288289289288288286285283282282282283283283283283283283283283283284283283285285285284283284283281281279281278280279277275274277278280281282282283282282282280279277275276275274273274272271269268268269267267265265264265266266264265267268268268268270270269270270271272272272274275275276276277277277278278278278279279279278278278279279278279279280280281282283283284284284285285285285285286286286287287287288288289288288288288288288288288289289288289289289289289289289290290290290290290291291291292292292292293293294294295295295296296296297297297298299298298299299299299299299299299299298299298298298298298298298298298298298299300300300299299299299298298298298298298299299298298298297298297298297297297297297297296296297297297297296296296295294294293294294294294293293294294294295294294294294294294294294294293293293292292292292292293293293293292291292291293293292290292289291289290290290290290290289289289288290289288288288289288288288287285285286287287287284286284284284284284282282282282283283283282282282282282282281281281281282282283284284284284284284284284284284284283283283282281280279279279279278278278278278278279278278278278278277277276276275275275275275275275275275275276276276276276276276276276275276276276276276275276276276276275275275275275275275275275275275274275275274275275275276276276277277277276276275275274273273272271270271272272271271271271271270270270270270269269269269269268268268268268267267267267267267267267267267267267267267266265265266265266267267268268268267268268268267267267267266266266265265265265264264264263262262261261262261262261260261260260260258258258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274274271269266266264261259257256255255260267268268268271274274274276276276277277277277277277277278277277278278279279279279280280282282280278279279279283283284285286288288290290291288287286286283282283283284284284283283283285283283284284284286286286285286283283282280281281280281279278999278279282282283282283285282281281279278276275274274273272273272271270270269268267265265265264265265265265266267266267268269270269270270271271272272274275275276276276276276277277278278279279278279279279279279279279280280280281282283283283284284285285286285285285286286286287286287288288288288287287288288288288288288288288289289289289289289289290290290290290290290291291291292292293293293294294295295296296296297297297298298298298299299300300300299299299300299299299299299299299298298298298298298299300300299298299298298298298298298298298298298298298298298298297297297298297297297297297297297297296297297296296296294294294294295295295294294294294295295295295294294294294294294294294293293293293292292292292293293293293292293293293293293292292291290290289290291290290290290290290290289289289289288289289288289287287286286287285286286286287283285284284283282282282283283283283283283283282282282282281282282283283284284285285285284284284284284284284283283282282281281280280280279279279279279278279279279278278278278277276276276276276276276275275275275275276277277277277276276276276276276276276276276276275276276276276276276275275276275275275275275275275274275275275275276276276276277277276276276276275275275274274274273272272272272271271271271271271271270270269269269269269269268269269268268268268267267268267267267267267268268267267266266267267267268268268267268268269269268268268267267267266266266265266265265265264264263262262261262262262262261261260261260259259259258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283278277274273274271268265261257256253255257258260266267267271271274279277277277278278278278278278279279279278278278279279279280280281282283282282281281282283283284284285287288289289289288289287286285284281283284284283284283284284284283284284284286285285286285284284284284282284284283283282281999280281283287283283285284283282279279277275274274274273273273272271270269269268266266265264264264264265265265267266266269268270270269270270271272272275276276276276276277277277278279279279279279279280280280280280280281280281282283283284284284284285286286286286286286287286286286287287288288288287288288288288288289289289289289289289289289289290290290290290290291291291292292292293293293294294295295296296296296297297297298298298299299300300300300300300300300300300300299299299299299299299298299299300300299298298298298298298298298298298298298298298298298297298298298297298298297297297297297297297297297297296296295294294295295295295295294294294295295295295295295295294294294294294294294294293293293293293292293293293293293293293293294294293292292289290290291291291291290288290290290290290289288287286287287288288287287287285285285285284284284285285285282283283282283284284283283283283283283282282282282283284284284284285285284284284284284284284284283283282282282281280280279279279279279279279278278278278278278278277277276276276276276276275275275276276276277277278278277277277276276276275276277276276276276276276276276276276275275276275275275275275275275276275275275275275276276277276276277277276276276275275274275274274274273273272272272271271271271270270270270270269269269269269269269269268268268268268267267268268268268268268268267267267267268268268268268269269270269269268268267267267267266266265266266265266264265264263262262262262261262262262261261260260259258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282282277277275274274274268264262259257258258258260264267266267270273275276278278278279279279278279280280280280280280280280281281282282282284283283283283283283282283284286286286288288290289289287289284285283281284285284284283284284284286285285284284285286286285285285284283283284284284285284280281280281282283284283285284283282280279278277274274274274274273272272271270270269268267266265264264264265265265265266266267267269270270270270271272272274275276275276276276276277277278279278279280280280280280280280280281281282283283283283284284284285286286286286286286286286286286286286287287288288288287288288288288289289289289289289289290290290290291291291291291291292292292293293293294294294294295295296296296296297298298298298298299300300300300300300300300300300300300300300300299299299299299299300300299299299298297298298298297298297297297297298298298298298298298298298298298297298297297296296297297296296296295295294295296296296295295294295295295295295294295295295295294295294294293294294294294293293292293292293293292291292293292292292292292292292291290289291290290290290289290289289290289289289288289290288289288288287286286285285283284286285286285284284284283283284284284283283283283283282282282283284284284284285285285285285284284284284284284283283283282282281280280280280279279279279279279279278278279278278277277277276276276276276276276276276276277278278278278278278277277277276276276276276276277277276276276275276276276276275276275275276275276275275275275275276276276276276276276276276276276276276275275274275275275274274273272272272272271271271271271270270270270270269269269269269268268268268268268268268268269269269268268268268268269269269269270269270269269269269269268268267268267267266266266266266265265265264263263263263262262263262262262261260261260259258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284281279279275277277274276275272271266260263257261262265267267265267270272274275276278278278279279279281280280279281280281281281281282283283283286284283284284284283284284285285287287288288291291288287286285284284284285284285284284285285284285286285285288288287285285285285285285283284283999284285283999281282283285284284285285282282281279278275274274274275275273272272272271269268269266266265264264264265264264266266266268268270270270270270271272273274275276275276277276276277278278279279280280280280280280281281281282282282283283284284284284285285286286286286287286286286286286286286287287288288288288288288289289289289289289289290290289290290290290290290291291292292292293293293294294294295295295296296296297297297298298298299299299300300300300300300300300300300300300300300299299300300300299299299299299299299298298298297297297297297297297297297298298298298298298298298298298297297298297297297296296296295295295296296296296296295295295295295295295295295295295295295295295295294294293293292292293292293290292293293293292292292293293293292292292292292291290290290290290290290290289290290290289288289289288289287289290287287286284284286286286285285285283285283284284284285284284283283283283283283283283284285285285285285285285285284284284284284284284283283283283282281280280280280280279279279279279279279278278278278277277277277277277277277276277277277277278279279279279278278278277277277276276276276277277277276276276276276276276276276276276276276276276276275275275276276276276276276275275275275276276276276275275275274274275275274274273272272273272272272272272271271270270270270270270269269269269269269269269268268269269269269269270269269270270270270270270270270269269269268268268268267267267267267266266266265265265265264264264263263263263263263262262261260261260259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279999279277278281279274279273276276279277273271271266263263262262265266267265266268272272274275277278278279280279280281280280280281281281281281282282283283284285285284285284283284284284285285286286287287289289289288286285283283285284284284285285285285284285285287286286289286286284285284285285285284999999999285282277279282283286285286286285283282280279276275275274274274273272272272271271270270268267267267267265265265265266266266267269270270272270271271272273274275275275276276276277277278278278279279280280281281281281282282282283283283284284284284284285285285286287287287287287286287286287287287287288288288288288288289289289289289289289289290290290290290290291290290291291292292292293293293294294294295295296296296297297297298298298298299300300300300300300300300300300300300300300300300299299299299299299298298299298298298298298297297297297297297297297297298298298298298298298299298298298297298298297297297296296296296296296296296296296295295295295295295295295295296296295295295295295294294293292292292291291292291292292292292292293292292293293292292292292292293292291291292292292291289291287291289291288289290289287289288287287288288287285284284285285286286286286286286285285284284284284283284283283283283283284285285285285285286285285285285284284285285284284284284283283282281281280280280280280279280280280280279279279279278278277277277277278277277277277278278279279279279279279279279278278278277276276276276277277277276276276276276276276276276276276276276276275275275275275276276276276275275275275275275276276276276276275275275275275275275274274273273273273273273272272272271271270271270270270270270269269270269269270269269270270270270270270271270271271271271271270270270270269268268267268268268267267268267267266267265265265265265265264263263263263264262261262261261260260260259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279278280278276999999999273276278278271269268266262261261263261272266269268271272273274276278278280280280280281282281281282282282282282282281282283283283284285285285284283284285284285285286286289288288287288287286286285287282284284282284285285285284285286287287285287287286285286287285283285284282999281283281281283285285286286286285285283280279279275275275274274273272272272273271271270269268267267267266266265265265266267267269269271271271270271272272273274275275276276276276277278278279279279280280281281281282282282282283283284284284285285284285285285286286287287287287287287287286287287287288288288288289288288289290289290289289289290290290290290290290290291291291291292292292293293293293294294295295296296297297297297298298299299299299300300300300300301300300300300299300300299299299299299299299298298298298298298297297298297297297297296296296296297297298298298298298298299298298298298297298297297297297297297297296297296296296296295295295295295295295295296295296296296295295295294293294294294294294293294293293293292292293293293293293293293293293293293293293292292292292292292291292291290292289290290290290288289289287289289288287286286285284285286286287287287286285285284285284284284284284284284284284285285285285286286286286286286285285285285285285285284284284284283282282281281280280280280280280280280280279279279278278278278278278278278278278278277278279279280280280280280279278278278278277277276276276276276276276276276276275276276276276276276276276275275275276276276276276276275275275275276276276276276276276276275276276275275275274274274273273273273273272272272272271271270270270270270270270270270270270270270270270270270271271271271272272272272271270270271270270269269268268268268268268268267268267267267266266265266265265264263264264264263262261262261261261260261260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275271272999267262262261262261262265269271273273274274277279279280280281281281282282281282283282282282283283283284284284284286285286285284284285285285287288287287287287286287286286286284284283283284283283284285284284284284285285285286285285285285285284284284284284282283282283282284285286285284285284284282279278276276275275275275273272271273272272272272269269268267267267267266266267267267268270271271270270270272271273273274275275275276276277278278279279280280280281281282282283283283283283284284284285285284284285285285285286286287286286287287286286287287287288288288288289288289289289289289289290290290290290290290290290291291291292292293293293293293293293294295295295296296296297297297298298299299299299299299300300300300300300299299299299299299299299299299299299298298298297297297297297297297297297296296296296296297297298298298298298299299298298298297298298297297297297297296296296296296295295296295295295295295295295295295296295296295295295295294295295296296296296295295295294294294293294294295294294293293293293292292293292293293293293292292292292291292291291291291290290289290290289288287287284285285285285287288287287287287286286285284285285285285285285285285285285285286286286286286286286286286286286286286285285285285284285285284283283282281281280280280280280280280280279279279279278279278278278278278278278278278278279279280280280280280280279278278278278277276276276276277277277276277276276276276276276276276276275276276275275276276276276276276275275276276276276276277277277277277277276276276276275275274274274273273274273273273272271271271271271271270270270270271270271270271271272271271271272272272273273272272271271271271270269268268268268268268268268268268268268267267267267266266265265264264264265264264263262262262261260262261260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277272271269999999999261260259266266268271273274275275275276277278280280281282281282281282283284283283284284283284284284284284285286285286285287286286288288288288287287287287287286289285284284284284285285285285285286285284285287286286284286285285285282284285285285284283284283283284286286286285285286285283281279278276276275276274274274273273274274274273273271271269269269268268266268268268267270270270270271271271274272273274275276275276276277277278279279280280281281282282283283284284284284284285285285285285285285285286286286286286286286286286286286287287287287287288288288289289289289289290290289289289290290290291291291291291291291292292293293293294294294293294295295296296296297297297297297298298299299299299300299300299299299299299298298299298298299298299298298298298298297297297297297297297296296296296296296296296297298298298298297295296299298298298297298298298297297296296296296296296296296294295295295295295295295295295295295295296296295295295295295295296296296296295295294294294294294294294294294293293293293293293293293293292293293290291291291292292292292289291289292290291291290291290288288285286284285287288288287286286286286286284284285285285285285285285286286286286286286286287287286286286286286285286286286286286285285285285285284283282281281281281280280280280280280279279279279279279279279279278278278278278278279279280280280280280280280279278278278278278277277276277277276276277277277277277277276276276276276276276276275275276276276276276276275275276276276277277278278278278278278277277277276276276275275274274274275274274273273273272271271272271271271271271271271271271272272272272272272273274274274274272272272272271271270270269269268268269268269269268269268268267267267267267266266266265265264265265264263263262262261261262262261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269267265999264261260267269273274274276276274275275277277279280281281282281281283283283283283283283284283283284284285285286286286287288287290289289287288288287286285286286285282284285285285285286285287287286287287286286285285285285285285285283284285284285286286286286286286287286287286286285284283283280279276275275275273273274274273274274274274274272271271270269269269268268269269270270270271271271271272272275274275275276277277277278278279280280281281281282283283284284285285285285285285285285285285286286286286286286286287286287287286287286287287287287288289289289289289289289289290290289290290291291291291291291291292292292292293293293293294294294294295295295296296297297297297297297298298299299299300300299299299298298299298298299298299298299298298298298298298298298297297297298298297297296296296296296296297297298298298298299297299299298298298298298298298298298297297296296296296295295295295295295295295295295295295295295295295295295295295295295296296296296296294293293293293293293293292292293294292292290292293292292293292292292292293292292291289290290289289289292289290291290291290290289288288287286287288287285285287286286285285285286285285285285286286286286287287286286287287287286286287286286286287287287286286286286286286285284284283282282281281281281280280280280280280280280280280280280279279279279279279279279280280280280280280280279279278278278278278278277277277277277277277277278277277277277277276276276276276276276276275275276275275275276276276277277277277278279279278279279279278277277277277276276274274274274274273273274274274273273273273273273273272272272273273274274274275274275275275275275274273273272272272271270269269269269268269269268269269268269268267267267267267266266266266266265266265263263263262262262262263261260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266264258260263269273274276276276276276275276276277278280281281282281282283283283284284284285285284283284285285285286287288289287288287289288287286288286287286285284284284285285286284284286286287287287287287287286286285285285285285285284284285285285285286286285287287286285286286286286285283280278276276274274274273273273274275275274274275274274273273272270270270269269270270269269271271271271271272273274275276276277277278279279279280280281282282282283283284285285285286285286285285285285285286286286286286287287287287287287287287287287287288288288289289289289289289290290290290290290290291291291291291291292292292293293293293293293293294294294295295295295296296297297297297297297298298298299299299299299299298298298298298298298298298298298298298298298298298298297297297297298298298298297297297296297296297297298298299299299298298298298298298297298298298298298297297297297297296296296296296295295295296295295295295295295295295295295295295295295296296295296295294294292293293293293292292291292292292293293292293293293293292293292291290290290291290290291291290291289290291290289291291291290289288288288287287285286286287286287286284286286286286286286287287287287287287287287287287287287287287287287286287287287287286286286286286285285284283282282281281281280280280280280280280280280280280280280279279279279279279279280280280280281280281280280279279278279278278278278277277277277277277277277278278278277277277277277277277276276275275275275275275275276277277277277277278278279280280280280280279279278277277277276275275275275274274274274274274274273274274274274274274274274274274275275275275275276276275276275275274273272272271271270269269269268269268269269269269268268267268267267267267266266266267266266266266264263263263262261261261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270271261260262270272275276277278277277277276276277276278279280281282282282285283284284284284286285284284284284286287287287289289289290289290287287288286285287283284284285285285286287287286286287286286287288286286286286286285285284285284283285286286285286286286287287287287287287287288287285282279279276275274274274273273273274275275275275276275276274273272273271271270270270270269271270270271271273273274275276276277277278279279280280280281282282282283283284285286286286286285285285285285285285286286286287287287287287286287287287287287287287288288288288289289289289289289289290290290290290291291291291291292292292293293293293293293293294294294295295295295295296296297297297297297297297297298298298299299299299298298297297297297298298298298298298297298297297298298297297297297298298298298298297297297296296297297298298299298298298297298298298298298298298298298298297297297297297297297297297297296296295296295295295295295295295295295295296296295294296295294295294294293292294294294293293292292292292291291292292293294293293293292290290290292291293292292292292290291291292291291291290289290289289288288288287287287287287287287287287284286287287287287287288288288287288288287287287287287287287287287287287287287287287286286286286286285285284283283282282281281281281281281281281281281281281281281280280280279279279279279280280280281281281281280280280279279280279279279278278278278278278278278277278278278278278278278277277277277276276275275275275275276277277278278278278278278279280280280280280280279279278278277277276275275275275275275274274275275274275275275275275275275275275276276276276276276276276277276275275274273273272272270270270270269269269269269269269268268268268267267267267267267266266266266265265265264264263263263262261261261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276271268264261262267270274275276277278277277277277277277277278279279280282282283284284284284285285286285284284285285286288288288289290289290288289287287288287287284282283285286286287286286286287287287287287287286286286285287286284284284283285285286286286285285285286288287287288287287288287286283281278278277275275275274273273273274275275275276276275276276276275274272272271271271271271271272272273274274274275277277277278278279279280280281281282282282283284285285286286286286285285285285285285285285285286286286286287287287286287287287287287287287287288288288289289289290289290290290290290290291291291291291292292292292293293293293293293293294294294294295295295295296296297297297298298297298297297298298298298298298298297297297297298298297298298297297297298297297298297297298297298298298298297297298297297297297297297298301300301299298298298298298298298298298298297297297297297297297297298297297297297297297296296296296296296296293294296296295295295295295294295295295293292294294293293292292292292292293291295292293294293292291292292292291291292292291292292292293293292290291290290291290291289288289288287288288289288287287288287287287287287287288288288288288288288288288288288288288288288287287287288287287287287287287287287287287286286285284284283282282281281281281281281281281281281281282281281281280280280279279280280280281281281281281281281281280279280280279280279279279279279279279279278278278278279279279279279279278278277277276276276276275276277277277278278278278278279279280280281281281281280279279278278277277276276275275275275275275275275275275275275275275275275276276276277276276277277277277277276276275273273273272271270270269269269269269269269269268268267268267267267267267267267267267267267267267266265265264264263264263263264263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277999999268264263264267272274276276277277278277277277278277278278278279281281281283283284284285286286286286285285285286288288289290289289290291289288287286288287285286283284286286286287288287286287288288287287286286287286286285286288286284284285286286286286286286287287288288287288287288287286285283280278276275274274274273273274273274275277275276276276276277277276276275275273273272272272273273273274275275276277278278279279279280280281281281282283283283284285286286286286285285285285285285285285285285285286286286286287287286286287287287287287287287288288288288289290289290290290290290290290291291291291292292292292292293293293293293293293294294295295295295294295295296296297297297298298298297297297298298298298298298297297297297298298298298298297297297297297297297297297297297298298298298298297297297297297297297297296299298299298297298298298297297297297297297297297297297297297297297297298298298297297297297297297296296296296296297296296294295295295296296294295295296295294294294293293293291294293293292292293293294294294294293293293293292292292291290292293293293292292291291292290289292292290289289289288288289289289289289288288288288288288288288289288288288288288289289288289288288288288288288288287287287288288288287287287287287287286285285284283283282282282282281281282282282282282282282281281281281281280280280281281281281281281281281281281281281280280280280280280280280280280280279280279279278279279280280279280280279278278277277276276276276276277277278278278278278279279280280281281282282282281280280279278277277277276276276275275275275275275275275275275275275275275276276276276276276277277277277277277276274273273273272271271270270270270269270269269269269269268268268268268268268268268268268268268267267266265265264265264264265264264263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277999999999270270267262265268272274276276277277278278278278278278279279280281280282283283284285286286286286286286286287287288289288288289288290291292290288287286288286286288288287287286287289287287288287288288288288288288288288287286288288288285287289287286286286287286289287288288287288287286285284284281280278275274273273274273273274275274275277277277277277277277279278277277278276276275275275275275276275276277278278279279279279280280281281282282282283284284285285286285285285285285285285285286286285285285285286286286286286287287287287287287287287287287288288288289289290290290290290290290291291291291291291292292292292292293293293293293293294294294295295294295295294295295296296296297297297297297297297297297297297297297297297297298298298297297297297297297297297297297297297297297297297297298297297297297297297297297297298299298298298298298297297297297297297296296297297297297297297297298298298296297297297297298297296295296296296296297296296295295296296296296295295295295294295294293294294293293293293293293293293294294292292294293289293292293292292291293292292293293293293292292292292293291292292291290291289289289289289289289289289289289289289288289289289288289289289289289289289289289289288288289288287288288288288288288288288287287286286285285284284283282282282282282282282282283283283282282282282282281281281281281281281281282282282282281281282282281281281281281281281280280280280280280280280279279279280280280280280280279279278277277276276276277277277278278278279279279280280280281282282282282282281280279278278278277277277276276275275275275275275276276276276276276276276277277277277277278278278278277277276275274274273273272271271271271271270270270270269269269269268268269269269268268268269269268268267267267266266265265265265265265264265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271270266262270271272274276276277279280279279279279280280280281281282284284285285286287287287287287287287287289288289290291291290291291290288287286288287287288287289288288289287286287288288287288289289287288288289288287286288287287288287287288287286288287287288288288287287287286285285284284281280276275275273273272273274274273274274276276277277277277278278279279279278278278277277276277277277277278278279279280279280280281281282282282283283284285285285285284284284285285285285285286286286286286286286286286286286286287287287287287287287287287287288288288289289290290290290290291291291291291291291292292292292293292292293293293293293293294294295295295295295295295295295295296296296297297297297297297297297297297297297297297298298297297297297297297297297297297297297297297297297297297298297297297297297297298297298299295297297297298298298297297297297296297297296297297297297296297298298297297297297296296295296297294295295297296295295295297295297297297296294296297296295295294294295295294294293293293293293293294294293293293292293293292294293292292292291291291290290292292292292291293293291291290289291290289288289289289289289289289289289289289289289289289290289290289289289289289289288289289289288288288288288289288288288287287286286286285285284284283282282282282282283283283283283283283283283282282282282282282282282282282282282282282282282282283282282283282282282282281281280280280280280280280280279280280280280280279279278278277277277277277277277278279279279279280280280280281281282282282282282281280279279279279279278278278278277277277276276276276276276276277277277277277277277277278278278278278278277276275274274273273272272271271271271270270270270270270270270269269270269269269269269269269269268268267266266266265265265265265265265265264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278999999999272272270271270272274277277278279279279279280279280280280281282284285286286286287288287287288288287289289289288291290290290290290291290289289287288288288288289289287287287287287289289288289288289288289288289288288287287286288288289288288287288287287287287287287287288287286286286285285283281278276274274273272273273274273274275275275275276277278278279279279280280280279279279279278278278278278279280280280280280281281281282282282283284284285285284284284284284285285285285285286286286286286287287287287287287287287287287287287287287287287287288288288289289290290290290290291291291291291291291291292292292293293292293293293293293293293293294294294295295295295295295295295295295295296296297297297296296296296296296297297297297297297297297297297297297297297297297297296297297297297298297297297297297297298299298297296295296294297298298298297297296296296296296296295296297297297297298297297297297297297297296296296296296296297296295296295295295296297294295295296298296296296295294295295295294293293293294295295294293293293293294294294294293293292290292292292292291290290289292291290292292291291290290291290289289290290290289289289289289289288289289289289289290290289289289289289289289289289289289288288288288288288288287287287286286286286285285284283283283283282283283283284284284284284283283283283282282282282282282283282282282282283282282282282283282283283283282282282281281281280280281281281280280280280280280280280279279279279278278278278278278278279279280280281281282281281282282282283283282282282281280281281280279279279279278278278278278277277277277277277277277278278278278278278278278279278279278277276275274274273273272272272271272271271271271270270271270271270270270270270270269269269269268268267266266266266265266265266266265265266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267272268269999266267271270271273274277278279279279279279279280280280280282284285285286286287287287287286288288288289289290289290290290291290291290289290290289288288290289290290290289289288288288290288289289289288289287290289289286286288288288288288288289288287287286287287286286287287285285286285284282279277276274274272272273273274275274274274275275276277277278279280280281280281280280280279279279279279280280280280280280281281281282282283283284284284284283283284284284285285285285285286286286286286287287287287287288288288288288287287287287287287287287288288289289289290289290290291291291291291291291291291292292292292292292292293293293294293293294294294294295295295295295295295294295295295296296297297296296296296296296296297297297297297297297297297297297297298297297297297297297298298297298298297297297297298298299298299298297296294297297299298299298298297296294295296296296294296295297296296295297297296297297297298298296296298297296296296296297297296297298296296296298297297297296296294292295294294294295296292294294294294294295296295294293293293293292292292292292292292293291290290289289290292292292290290288290291290291290290289289288289287286289289289289289289289289289289289289289289289289289289288288288288288288288288287286286286286286285284284283283283283284284284284284285285284284284284283283283283282283283282282282282282282282283282282282283283283283283283282282282281282282282282282282281280281281281281281280280280280279278278278278279279279280280281281282282282282282282282283283283283283282282282282281280280280279279279279279279278278278278278278279279279279279279279279279279279279279279278277276275274274274273273272272272272272271271271271271271271271271271271271271271270270270270269268268267267266266266267266266266265266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267266263270273270270272273276277278279279279279280281280280281282284285286285286286287288287287289288290289289290290289289291290291290289289290290289290290290289291289288289289289289288289289290290290289290288288289288288287288288287288289288288287286287286287286286286286285285285285283282281278277275274273273272272273273274275273273274275276277277278279280280280280281281280281280280280280281280280281281281281281281282282283283283283283283283283284284284284285285285285286286286286286286286286287287287288288288288287288287287287287287287287287288289289289290290290291291291291291291291291291291292292292292292292293293293293294293293294294294294295295294294295294294294295295295295296296296296297296296296296296297297297297297297297297297298297297298297297297297297297297298297297297297297297298299296300299299300296297297297297297298298298297297294297296294295296295295295296295296297297297297297297297298298297297298296296297297298296298298296296296296297297297297296295295294294295294295296296295294293295295294296296296294291294293292293293292292291290290291290291291292292291292292290287289291290290291291290290290289289289289289287288289289289289289289289289289289289289289289289288288288288288288288287287287287286286285286285285284284284284285285285285285285285285286286286285285285284284284284284284283283283283283283283283283283283283283283283283283283282282282282282282282282282282281281281282282281281281280280279278278279279279279280281281282283283283282283283282283284283283283282282282282282282281281281280279280279280279279278278279278279279279280280280279279279279279279279279279278278277275274274274274273273273273273272272272272272272272272272272272271272271271270270270269269269268267266267266267267267267267266266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268268268271273270270270271273274278277277278279280280280281280281282284285285285285285286287287288289289290290289289289290291290291291290290290290290289290290288289290289289289289288289290290289289290290289289289288287289288288289288289290289288287286286286286285285285284283284285284284283282279278276274273273272272271272273272274274274275275276276277277279279279279280280280280280280280280280281281280281281281281281281282282282282282282282283283283284284284284284284285286286286286286286286286286287287287288287287287287287287287287287287287287287288288288289289290290290291291291291290290290291291291291292291292292292293293293293293293293294294294295295294294294293293294294295295295296296296296296295295296296296296296296297297297297297296297297297297297297297297297297297297298297297297297297298299299299299299300300300299299298297297297297296297296297295294296297296296296296297298298297298298297297298297297297297297296298298298299299297296296297296296297297298296296293295295296296296295295295293295295296296296296295294292293292293290292290289289292290286288290289290291292290290292291289289289291291290290290289289288289289289287287288288288289289289289289289289289289289289289289289288288289289288288288288288287287286286286286285285285286286286286286286286286286286287287286286286285285285284284284284284284284284284284283284283283283283283283283282282282282283283283283283283283283282281281282282282282282281281281280279279279279280280281281282282282283283283283283283283283283283283282282282283282282281281281280280280279279279279279279279279279280281280280280280280280280280279279280279278277276275275274274274274273273273273273272272273273273272272272272272272272271271271271271270270269269268268268268268268267267266267267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262264267271272265269270271272276275278282278278280280281282281282282285285285285286286286287288288289289290290289291290290290290290290288289289291289288290288288288288289289289289290290289289289289290290288288288289287288289289289288288288287287286285285284284283283283284283284283282281281281279278275273272271272271271272273273273274274274274275276277277278278279279279279279280280280280280279280281280280280281281281281281282282282282282282283283283283284284284284284285285286286286286286286287286287287287287287287287287287287287287287287287288288288288288289289290290290290290291290290290290290291291291291292291292292293293293293293293293294294294295294294294293293293293294294295295296295296295295295295296296296296296296296297297297297296296297297297297297297297297297297297297297297297296296298298298297297298297297299299299298298297296295296293295296295294291293296295295295296297298298297298297298297296296295295295296297298297298297296297296296297296296296295295295294296294294296296296295295291292295295296293294291293292290293292292293287288293291291292291291289291290288291291290289290290289290289290289290289287288288290287290290289288288288289289289289289290289289289290290289289289289289289289289289288288287287287286286286286286287287287287287287287287287287287287287287286286286285285285284284284284284284284284284284284283284283283283283282282282282283283284284284284284284283282282282282283283282282282281281280280280280280281282282282282282283283283283284284284284284284283283283283283282282282282282281281281280280279278279279279279279280280281280281281280280280280280280280279279277277276275275274275274274274273273273273273273274273273273273273273273273273273272273273273273271271270271270269269268269268268268268268269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263260269266266267270271274275276276279279280280280282282282284284285286285286286287287288288289289289291291292292292291289291291289290290290290289290290289288289288289290290290291291289290290290289291290289290289288290290289289289288288286286286285285284284283283283283283282282281281280279279277274272272272271271272272272273273273273273274275275276276276277278279279279279279280280280280280280280280280280281280281281281281281282282282282282283283283284284284284284284284285285286286286286286286286287286287287287287287287287287287287287287287288288288288289289290290290290290290290290290290290291291291291291291292292292292292293293293293294294294294294294293293293293293293294294295295295295294295295294295295296296296296296296297297296296295297297297297297297297297297297296296297298297296298298297298297296297298298298298298298297296295296295295295294294294294294292295295296297297297298298298296297297296296295296296296297297297297297297298297296295296297297296296296295294295295294294294294294295296295295295296296296295294293293293294294294292289291292292291291292291292292292292290290291289289290291291289290289288289288288288291289289288288288288288289289289289289289290290290290290290289289289289289289288288287287287287287287287287287288288287287287287287287287287287287287287286286286285285285284285284285284285285285285284284284283283283282283283283283283284284284284284284284283283283283283283283283282282282282282281281281281282282282283283284284284284284284284284284283283283283283283283282282281282282281281280280280280279279278280279279280280280280281281281281281280280280280279279278277276275275275274274274274274274274274274274274274274274274274274274274274274274274274274274273273272273272270270269269269268269269269270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259262266265264271266265269272271275276276277277277279279281282283283284285286285286287287287288290288289290289290292292291291291292292291291290290290291289290291290289289289289290290291291291291290290290289290290289289288288289289288288288287286285286286285284284283283283283282282281282282282281280279276274273272272271271271272272272273273273273273274275276276276277277278278279279280280280281280280281280280280281281281281281281281281281282282282283282283283284284284284284284284285285285286286285285286286286286287287287287287287287287287287287287288288288288288288289290290290290291291290290290290290291291291291291291291292292292292293292293293293293294294294293293294294293294293293294294294294294295295295295295295296296297297297297297297297296296297297297297297297297297297295297296297297298297298297298299297297299296296297299298297296299294297295294295294294293293295295295296297297297297297297298298295297297298297297297296297297296296297296297297296297294297298297296296294292291294294294294295296296296295295296296294293291292292293293293293292291290292290291292292291292292293291288289291290288290288290290289289289289289290288289289289289289289288288289289289290289289290290290290290290290289290289289289289289288288287287287287287287287287288288287288288287287287287288288287287287287287286286286285285285285285285285285285285285285284283284283283283283283283283284284284284284283283283282283283283283283283283283283282282282282281282282283283283283283284284284284284284284283283283283283283283283282282282282282281281281281281280279279279280280280280280281280281281281281281281281281280280279277277276276276275275275275275275275275275275275275274274274274274274274274275274274274275274274274274274274273272271270269270270270269270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264265264261266266267269273278279276276277277278279280281282283283284285286286286286288287287288289288290290290292292291291291290291292290291291291291291289291290289289290290290291292291291291290289289289289290289290288288290290287287286284283283285285284283282282282282281281281281281281281281280277275274273272272271271271272272272272272274273273273274275275275276276277277278278279280279280280280280280280280280280281281281281282282282282282283283283283284284284284284284284285285285285286286285286286286286287286287287288288287287287287288287288288288288288289289289290290290290291291291291291291291291291291292292292292292292292293293292293293293293294294294293293294294294294293293293294294294294295295295295295296296297297297297297297297297297297297298297297297297297297297297297298299298299299295295297298298299297298299298298298298295294295294296295294295296295295296296296296296297297297295297298298296298298298297297295296297296296296295294295298295296297298298297296295292295295294297293296296296295295293293293292292293293295294294293292291290290292291291293291291293292290289289290292293291288290291289289290290290288291291290290290289289289289289289289290290289289290290290290290290290291290290290290289289289288288288287287288287287287287288288288288288288288288288288288288288288287287286286286286285285285285285285285286286285285285284284283283283283283283284284283283283283283283282282283283283283283283283283283283283283283282282282283283283283284284284284284284284283283283283283283283283283282282282282282282281281280280280280280280280280280281281281281281281281281281281281281281280279278277277277277276276275275275275275276275275275275275275275275275274274275274274274274275274275275275274274274273272272271270270271270271270271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267259263266266267271270271273276277276277278280279280282282283283284286286287287287287286287288289290290290291291292291291291290291292291290291291290291291290291290289289290290291291291291290290290290289289290289289289290288288287285284281285282283283282282281281281281281280280281281282281281280278275274273273272272272271272272272272272272272272273274274274275275275275276276277278278279280280280279280280280280281281281281281282282282282283283283283283283284284284284284284284285285285285286285285286286286286286287288288288288288288288288288288288288288288289289290290290290290290291291291291291291291291292292292292292292292292292293293293293293294294294294293293293293293293293293293293294294294295295295296296296297297297297297297297297297297297297298297297297297296296297297296297299299299299297296296300296298300300300299298298297296293293294294293293296296296296296297297298296297297298297298297298298297296298296296297298294294295297298297296298297298297297297296296297296293296292296294296294295293293293293292293293294295294293294294293292292290293292288291293292292291290291291292291293291290290289288291288290290290291291289290291289290290289289289290290290290289290290290291291291291291291290291290290290289289289288288288288288288288288289289289289288288288288289289289288288288287287287287286286286286285286286286286286286286286286285285284284284284283283283283283283283283283282283283284284284283283283283283283284283283283283282282282283283284284284284284284284284283283283283284283283283282282282282282282282282282281280280280280280280281281281281281281281282281281281281281281281280279278277277277277276276276275276276276275275276276276276276276275275274274275274274274274274275275275275275275275274274273273272271270271271271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261260263263266267273271272273274276275278279280279281282282283284285286288288288287287288288289289290291290291290291290290291292290292291291290289290292291290290290290290289290290290290290290290289289289288289289289289289287286284282999999282282281281281281281281282282282281280281282282281281279278275274273273273274273272272272272272272272272272272272274273273274275275275275276277277278279279279279279280280280280281281281281282282282282283283283283283283283283284284284284284284284285285285285285285286286286286287288288288288288288287287287287288288288288289289289290290290290290291291291291291291291291292292292292292292292292292292293293293293293294294294293293293293293293293292292293293293294295295295296296297297297296297297297297297297297297297297297297296296296296296297297297298298300299299298294295297300300300300299299297297297295295295294294296296296296296295296297297296298298298298298297297297297296297295296294294295298298296298298297297297297296296296296295298296296297296297296294295296293294293293293293295294293294293293293292291293293293293290293292294294293289291293291293292291290293291289289291291291290290290290293290289290290290290290290290290290290290291291291291291291291291290291291290290290290289289289288288288288288288289289289289289288289289289289289289289288288288287287287287286286286286286286287287287287286286286286285284284284284283283283284283283283283283282283284284284283283282283283283283283283283283283283283284284284285285285285284284283283283284284284283283283282282282282282281282282281280280280280280280281281281281281281281282282282282282282282282281280279279278278278277277276276276276276276275276276276276276276276276275275275275275275275274275275275276276276276276275275275274274273272271272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258999999259262261261260266268277275271273274275276275278279279280281283283283284286286287288288288288289288289290289290290290291291291290290289290290290288290289290290290289290289289290289289290290290290290290290290288289289289289289287282280284999281281283282282283282283283283283282282281281281282282282281280278276274274274274274274274273272272271271271272271272272272273273274274274275275275276276277277277278278279279279280280280280281281281281281282281282282283283284283283283283283284284284284285285285285285285285285286286286287288288288287287287287287287287288288288289289289290290290290290290291291291291291291292292292292292292291292292292292292292293292293293293294294294293293293293292292292293293294294295295296297297297297296296297297297297296297297297297296296296296296296296296296298297296298297299299296296298299299300299299298297295297297295295295297297297297296296296297298296298298297298298298298298299297298298298297295296296297296297295298297296298294293291293293293293293292294294297297293296292293293293292293295295294293295295291295293293291292288292292292291295293291293290291290291292293291290289294289293292291290292292291288289289289290290290290290290290290290290290291291291291291291291291291291291291290290290290290289289289288288288289289289289289289289289289289289289289289289288288288288287287287287287287287287287287287287286287287286286285284284284284284284283283284283283283283283284284284284283283284284284284283283283283284283284284284284285285285285284284283284284284284284283283283282282282281281281281281281280281281281281281281281281281281281281282281281282282283282281281280280279279278278278278277276276276276276276276276276276276276276276275276276276276276275275275275276276276276276276276275275275274274274274273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265999278261265263262266268272274273272275275276277277277278279280281283284284286286287289290289287289288287290290289289289291292291292290290290290290290290291289290290289289289289288289289289290291291290290290290289289289289287287286284282279284282281283283283284284284284284285284284283283283282282282282281280278276275275274274273273274273273273272272272272272272272272272273274274274274274275275275276277277277277278278278279280280280281281281281281281281281282283283283283283282282283284284284285285285285285285285285285285286286287288288288288287287287287287287288288288289289289290290290290290290291291291291291292292292292292292291291292291292292293292292292293293293294294294293293293293292292292293293294294294295296296297297297297297297297298297297297297297296296296296296296293293296295297298297298299299299299298297298300298299298296295296295294296296296297295297296296296297298298298296298297298298298299298299296296295297295297298298297296293292294296298297298297294295293292294294294295295293295294294294293296295295296295293295294295294294294292290291290292290290293293294292291289289293292291291293293290290293293292293293291294293290289290290290291291291290290290290290290290290291291291291291291291291291291291291291291291290290290290289289289289289289289289289289289289289289289289289289288288288288287287288288287287287287287287287287287287287286287286286286285284284284284284284284284284284284284284284284284284284284284284284284283284284284284285285285285285285285284285284284284284285284284283283283282282282281281281281281281281281281281281281281281281281281282282282282282282283282282282281280280280279279279279279278277277277276276276277276276276276276276276276276276276276276276275276276276277277277276276276276275275275276275274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266266261262262265269267269269270273274274276277277277278277278280280282284286286284285287288288288288289290289290290290290290290290291289290290290290290291290290289291290290289288289288288289289289290291290291291291289289289289287285284283282280284281282284285285286287285285285284284284283284283283282282283282280278277276275275275274273273274273273272271272271272273272272272273273273274274274274274275275275276277277277277278278278279279280280281280281281281281282282283283282282282282283284284284285285285285285285285285285285286286287288288287288287287286287287287287288288288289289290289289290290290291291291291292292292292292292291291291291291291292292292292292292292293293293294293293293293293293293293293294294295296296296296297297297296297297297297296296296296296295295295295295295295295294296297298297297299299299298297297299299298297296295296296297296297297298298298297297297298298296296295296295297297298299296295296298297296296296296296296296294294293297295295298294297297296295296295294294295295296296296296295295295296296295296294295296296295295295294292293294295294294293295295294292293291294294293294294294293292292294291292293292295293293290291292291291291291290290290290290290291291291292291291291291291291291291291291291291291291290291290290290289289289289289289289289289289289289289289289288288287287287287287287287287287287287287287286287287286286286286286285285285284284284284284284284284284284284284284284284283283283283284284284284284284284285285284285285285285285285284284284284284284284284284283283283282282281281281281281281281282281282282282282282281281282282282282282282282282282282282281281280280280279279279279278277277277276276276277277277276277276276277277276277277276277276276276276277277277277276276276276276275276276275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267269271264265264269266268269270272274275274276277277279278278279281282284285286287286288287288287287288288289290291290289289289292291289291291291291290291290291290291289289290291288288288289289289290291291290290291290289288288287286285283281282282282282285284285286286286285285285285285284284284284284283283283282281279277276276276276275275274274273272272272271271272272272272272272273273273274273274274274274275275276277277277278278278278278279280280280280281281281281281282282282282282282283283284284284285285285285285285285285285286286286287288288287287287287286286287287287288288289289289289289290290290291291291291292292292292291291290290291292292291291292292292292292292293293293293293293293293293293293294294294295295295296297297297297297297296296297297296296296295295295295295295295296294295293296296296296297297299298298298299299299299298297297297296296297297298298298299298298298298296296297297297297297297299296297295296297296295297295296296296297296295295296297295294295293294295296296295295295295295296294294295295295295295293293294295295294295294293293292292293294295292295292293295294293293291289292294292292293291294293290290293292291291291290291292292291291291291291291290290290291291291291292291291291291291291291291291291291291291291291291290290290290289289289289289289289289289289289289289289288288288287287287287287287287287287287286286286286286286286286286286286285285284284285285284284284284284284285284284284284284283283283284284285284285285285285285285285285285285285285284284284284285284284284284284283283283283282281281282281281281281282282282282282282282282282282282282282282283282283283282281281281281280280280279279278278278277277277277277277277277277277277277277277277277277277276276276276277277277277276276276276275276276276275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289281277273267272271267270269270271274275276275277277277280279280280283284284286285287284285285287286287288287289290289289289289290291290290289289290290290289289289289288289288289288288288289289289290291291291291290290289288289287285286285285999282284284284285284286286286285286286286286285286285285284284284284285283281280279278277276276276275275274274274272273272271272272272272272272273272273273273273274274274274274275276277278278278278278278279279280280280281281281281281282282282282282283283284284284284285285285285285286285285285285285286287288287287287287287287286287287287288288288289289289289290290290290291291291292292292291290290290291291292292292292292292292292292292292292292293293293293293293293293294294294294295295296296296297297296296296296296296296296296296295295295295295295295295294296297297295295295296297298299299299299299298298298297296295296297298298297298298299298298297297297297298297297297297297297298298297296295296295296297297298297296296297297297296295295296296296296295295295295295295295292293293295295293294295294294295294294294294295292291292292292293292293292295295295295294293292294294293293293292292292291290292292291293292292292293290291291291291291291291291291291291292292292291291291291291291291291291291291291291291291291290290290290289289289289289290289289289289289289289288288287288287287287287287287287287287286287287286286286286286287286286286285285285285285285285285285285285285285285284284284284283283284285285285285285285285286285285285285285285285285284285284284285284284284283283283282282283282282282282282282282283282282282282283282283282282282282282282282283283283283282282282281281281280280280279279278277277277277277278278278278277277278278278278278278277277276276277277278278277277276276276276276276276276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289284283277276269270268269267268273272273275275277278278279280280281282283284284286284285284286285286286286287289289289288288288290290290289289290288289288289289289289287287289289288288288288289288289290290291291290289289289289288287286285283282999999284285285285285286285287285286286286286286286286285284283284284284283282281280279279278277277275277276275274274274273272272272272273272273273273273274273273273273273273274275275276277277278278278279279279280280280281281281281282282282283283283283284284284284285285285285286285285285284285285285286287287287287287287287287287287287287288288288288289289289289290290290290291291291291291289287287289291292292292292292292292292292292291292292292292292292293293293293293293294293294294295296296296296297297297296296296296296296296296295295295295295295294294293296297296296296297295296297298299299299299298300299297297298298297298298298298298298299298298297298298297297298297297295298299298298297297296296297297296297297296295296296296295296296296296293294295296295295295294292292293295294294295295295295295296294294292293294295297294294295294292293295294293293293294294293294291294293294294293292292295294293293294294294293293291292291291291291292291291291292292292292292292291291291291291291291291291291291291291290290290290290289289289289290290290289289289289289289288288288287288287287287287287287287287286286286287286287287286287287286286286286286285285286285285285286285285285285285285284284284284284285285285285286285285285285285285285285286286286285285285285285285285284284284283283283283283282282282283283282282283283283283283283283282283282283283282283282283283283283283282282282281281281281280280279278278278278277278278278278278277278278279279279278278277277277277277278278278277277276276276276276276276276276277277276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280275281276272265271268268268269271273274275275276277278279281282282281282283284285286285284284285287286286286288287288288289289291290290290290289288289287288289289288288287288287288289288289289289289290291291290290288288289289287287286287285283282284286285285286286286286286286286286286286286286286285285285285284284284282281280279279278278277276276276276275275275274273272273274273274274274273274274274273273273273273274274275276276277278278278279279279280280280282281281281282282282283283283284284284284284284285285285286285285285285285285285286286287287287287287287287287287287287288288288289289289289289289290290290290291291291290288287285289291291291292292292292292292292292292292292291292292292293292293292293293293294295295296295296296297297297296296296296296296296296295295295295295295295293294294296296297297296296297297296298299299299298300299297298298297297296298298297298298297299299298299298298298298297297297296297297299298297296298298298297297297296295295294294293295295294295295293295296295296296295295295295295295294294296294295295295296293294293293293296296293297297295294295296294292292292293294293293295296295295296294293292294294295295294295293292292294292292292292292292292292292292292292292292292292291291291291291291291291291291291291290290291290290289289289289289290289289289289289288288288288288287287287287287287287287287286286286286287286286287287287286286286286286286286286286285285285286286286285285285285285284284285285285286286286286286286285285285285285285286286286285285285285285285284284284284283283283283283282283283283283283283284284283283283283283283283283283283283283283283283283283283283283282282281281281280280279278278278278278278278278278278278278279279279279278278278278278278278278278278277276276276276276276277276276276276277276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287280276273271267267267268269270271272273275275275278277279279280281282281281283283285283285284285284286286286287288287290288289289291291289288289289288289288288289289288287287287288290289289289289290290290290291290291289289289289287287286285284284284284285285285287285286286286286286286286286287286286286286285285285285284283283281279279278278278277278278277277276276275274273273274274275274275274275275274273273273273273273274275276276277277278279279279280280280281281282282282281282282283283284284284284284284285285285285285285285285285285285285285286286287287287287287287287287287287288288288288289289288289289289290290290291290290290289288286289290291291291292292292292292292292292292292292292292292292292293293293293294294295295296296296296297297296296296296296295295295295295295295295295295295294295295297295296296297296297297297298299299299300299300298297297297296296297298299299299299299298299298298298298296297297294297296295297298298298298298297297296295296295295292294293295296295295295296295295296296296296295295295295296296295295294296296295293292292294294295295292293293295294292295296295293293295296296297297296295295295295295295295295295295295292292292291293294292292293293292292292292292292292292292292292291291291291291291291291291290290291291290290290290289289289290290289289289289289289288288288288287287287287287287287287287287287286286286287286286286287287287287287286286286286286286286286286286286286286286286286285285285285286286285286285286286286286285285285285285285286286286286286285285285284284284284284284284284283283283283283284283284284284284284284284284284284284284284284284284284284284283284283283283283282282282281280280280279279279278278278278278278279279279279279279279279279279279278278278278278278277276276276276276277276276276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275273267266266267268267270269272274274275275277279279279280282282282281282284287284284284284284286288288287287287288289288289290290290290288289288288288288288288288288287287287288288289288289290289290290290291292291289288289288287285285283284284284285285286286287287287287287287286285286287287287287287286287286285286285283282282280279279278278277278278278277277276276275275274275275275275275275276276275274273273272273274274276276277277277278279279279280280281281281281281282282282282283283284284284284284284285285285285285285285285285285285285285286287287287287287287287287287288288288288288288288289289289289289290290290290290291290291290288289290291291291292292292292292292292292293293292292291291292292292293293293294294294295295295296296297296296296296296295295295295295295295294295295294295296296296295296296296297294297297296299298298299299300300299299297298298298300299299299298298298297298298298297297295296297296296296298298298299298298298297296296293294297296292292293296295295295294295296296296296296296295295295294295295292295295295295294294294294295296294293294294295295293293294296295294296294296296297296294294294295296295294292295294293293291292293293293294293293293293293293293293292292292292292292292292292291291291291291291290290290291291290290290290290290289289289289289289289289288288288288288287287287287287287287287287287287286286286287287287287287287288287288287286286286286286286286286286286286286286286286285285285286285285285286285285285285286285285285285285286286286286286286285285285284284284284284284284284283283283284284284284285285285284284285285284285284285285285285285285285285285285284284283283283283282282282281281280280279279279279279279278279279279279279279279279279279279279279278278278278278276276275276276276276276276276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280275269266268266268269268269271273275276276277278280281281284282282282281284284285285284284284286288288286286287288288289288289289288289289289287289287288288288288287287286289287287287287289290290289290291290290290289290289289288286285284284284284284285285286286287285287287286286287287287287287287287288287287287287286286285284282282280280279278278278278278278277277277276276276276276276275275276276276275274273272273273274275276277277277278279279279279280281281281281282282281282282283283283284284284284283284285285285286286286286286286286287286286287287287287288287287287287287288288288288288288289288289289289289290290290290290291291291290289289290290291292292292292292292292292293293293293293292292291292292292293294293294295295295295296296296296296296296296295295295295295295295294294294294294293295296295295295297296294296295298298295296298298297299299299299299299299300299298298297297297297298297295296297296297298299298296297298298299298297297296296296295294295296293293294294294295296296295295296295294294295295294295295295294293294294295294294293293293294296295295296295296295293295295296295295296297297296296296294297297295294297293293296294294295294295295294293294294294293293293293293293293292292292292292292292292291291291291291290290290290290290290290290290290290290290290290289289289289288288288288288288287287287287287287286286286287286287286286287287287287288287287287287286286286286286286286286286286286286286286286286286286285285285285286286286285285286285285286286286286286286286285285285285285284285284284284284285284284284284285285285285285285285285285285285285285285285285286286286286285285285285285284284283283282282282282281281280280280280279279279279278279279279279279279279279279279279279279278278278278278276276276276276276276276276276277276277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273267267267269267268268269271273276275276276277280281281282283281281281281282284284284284284285285286286287288287288289289289289289289289287287287288288288288288287287287287288287288286287288287289289290290290291290291290289289287287284284285284283285285285286286287287286286286286287287287286286287287288287287287287287286285285284283283281280279279278277277278278278277277277277277276276276276277277277275274273273273274274275276277277278278279279279280280281282282282282282281282282283283283283283283283283284285285285286286286286286286287286286287287287287287288287288288287287288288288288288288289288289289289289290290290290291291291292290288288289290291291292292292292292292292292292293293293293292292292292292292293293294294294294295296296296295295295295295295295295295294295295295295295294294294293292294295296298296296296296297297297295295298299299298299299299299299299298295296296296296297298297297296297298298299299298298299298297297297297297296293296296296296296293294294295295295295296296296295295295295295295296295294294295293295295294293294294295293294295295294294294295295295295294294293293296295297297297296293294296297294293292297295296295295295295294294294294294294294294294294293293293293292292292292292292292292291291291290290290290290290290290290290290290290290290290289290289289289289288288288288288288287287287286286286286286286287287286286287287287287287288287287287286286286286286286286286286286286286286286286286286286286286286286286286286286287287287287287286286287287286286286285286285285285285284284285285285285284284284285285285285285285285285284285284284285284285285285286286285285285285285285284284284283283283282282281281280280280280280279279279279278279279279279279279280280280279279279279279279278278277277276276276277277277277277277277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273263264267267267266267266269270272275276275275276280281280282281281281282280280281283283283284283285285285286287288287288288289289289289289289289288288288289289288288286287288287287287287287287287288289290291291289290290291287289289289287285285285286285286286287285286287288287287285286287287287287287287287288288288287287288287286286285285284283282280280278278277277277278278278277277277277277277277277278277275274273274274274275276277277278278278279279280280281281282282282282281282282282283283283283283283283283283285285286286286286286287286287286286287288287288288288288288289288288288288288288288289288289289289289290290290290290290291291291290287287288290291291291291291292292292292292292292292293293293293292292292292292293293293294294294296295295295295294295295294295295294294295295295295294294295292294294292296295297296295295297297297298296296298297297297298299299299298297296295296295296297296297297298297297297298298298299297297297298298298296295294295293294295294294293294294294292293295296296296296295294293295295296294292293294294294294295295295294295295295295296296295295295295294295295295294296295295296295297294293294296296296295296296296295295295295295294294295294294294294294294293293293293293293292292292292292292292291291291291290290290290289289289290290289289290289289289289289289289289289288288288288288287288287287287286286287286287287287287287287287287287288287287287287286286286286286286286286286286286286286286286286286286286286286286286286286287287287287287287287286286286286286285286286286285285285285284284284284285285285285285285285285285285285285285285285284285285285285285285285284284284284284284284284284283283283282282281281281281281281280280280279279278279279280280280280280280280280279279280279279279278277277277277276277277277277277277277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268273269262264265264265266267270271272274276276276278280280282282282280280280280281281281283283283282282284285286286287287287288289287289289289288288288289290289289288286286288287287288287287287290290288289290291290290291290289289290288288287285286286286287286287286286287286287286286285287286287287287287287288288288287288288287287287286286285285284283282281280279278278278278278278278278278278277277278278279277275274274274274274275276277277278278278278279280281281282282282282281282282283283283283283283283283283283284285286286287286286287287287286286286287287287288288288288288289288288288288289288289289289289289289289290290291290290291291292291290286286289290291291291291291292292292292292292292292293292292293292292292292292292292293293294293294295295294294294294294294294295294294295295295295295294295292293293293294296295295297296296298297296294297296296296296298299298297296297296297297295298298296299297294297298298297298295296296296296296295296297295294294294294294295293294294295295294295295296296296296295295293295296294295296294294295294294294295294295295295296296296296296295296297295296296295295296291295295296297294295296297296296296296296296295294294295295295294294294294293293294293293293293293293293292292292292292292292291291291291290290289289289289289289290289289290290289289290290290289289289289289289288288288288287287287287286286286287287287287287287286287287287287287286286286286286286286286286286286286286286286286286286286286286285286286286286286287287287287288287287287287286286286286286286286285285285285285284285285285285285285285285285285285286285285285284284285284285284284284284284284284284284284284284284284284283283282282281281281281280280280280280279279279279279280280280280281281281280280280280280279279278278278277277277277277277277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275273269267262262263263266267269270271273274275275276278280281281281281280280280280282282281281283282282282283284286286287286288289290290289290288287289290289290288289287287287288288288287287287288288288288290289290291290290291290999290290288288286286287287286286286287287287288287286286287287286287287287287288288288288288287287288287287287287286286286285283283282281280280279279279279279279278279278278279279279277275274274274274275275276276277277277277278279280281281282282282281282282283283283283283283284283283284284285286286286286286286286287287286287287287287287288288288288288289289289288289289289289289289289289289290290290291290291291292292292290288287289290291291291291291292292291291292292292292292292292292292292292293293292292293293293293294294294294294294294294294294294294294295295295295295295296293292292293293296296297297297297298297297296296297297297297298296296295295295295294296297297298298298296296298296297297297295296295297298296294297297296295294294293294294294294294295294295295295295295295296295294297294296296295295296292294293294294294294295295294296295295296297295295295296296296296295296294294294296297296295297296294296296296295293295295295294295295295295294294293293293293293294293293293293293293292292292292292291291291290290289289289289289289289290290289289290289289290290289289289289289289288288288287288287287287287287286286286287287286287286286287287287287286286286286286286286286287286286286286286285286286286286286286286286286286286286287287287288288288288287287287287286286286287286285285285285285285285285285285285285285286285285286286286286285285285284284284284284284284283284284284283284284284284284284284284284283283282282282281281281280280280280281280280280280280281281281281281281280280280280280279279278278278278278278278278278277277277278278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266262260266265261264263265266268270271271272272274276277278279279280280281279279279280280279280282282283282284283283286286287287290290291289288288289288291291289288289287288288288288288289288289289288289289288289290289290290291291291292292290999288288287286287287288287287288287287287286288287287287287288288288289289287289289288289288288287287287286286286285284284283283283282281280280279279279279279279279279280279277275275275275274275275275276276276277277278279281281281281281281282282282283283283283283283284284285285286286286286286286286286286286286286286286286287287287287287288288288288289289289289289289289290290289290290290290291291291291291292292291289289289290290291291291292292292291292291291292292292292292292292292292292292292292292293293293293293293293293293293294294294294294294294295295295295295295292292293292293293295294296295296298297295297297298299298299300298297297296295296296298298298298298299298298296296298297297296296294297296298297297296296295295295293292295295294294295294294294293294294295294294296295294293295295294294293294294294294294294294294294294293295294294296296296296295296295296296295294294296296296296297296296296296295294294295295294294295295294293293293293293293293293293293293293293293293292292292291291291291291290290289289289289289289289289289289289289289289289289289289289289288288288288288287287287287287287287286287286286287286286286286286287287287286286286286286286286286286286286286286286285286286286286286286286286286286286287287287287287288288287287288288287287286286286286285285285285286286285285285285286286286286286287286286285285285285285285285284284284284283283283283283284284284284284284284284284284283283283282282281281281281280280281281281281281280280281281281281281281280280280280280279279278279278278278278278278278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277999272999256255259259260261263264266267268270272271272273273276276278279279281279279279280280281280278278281281282282283285284284284286287289288288289288288291288292288289289287288288289288288289289289290289287288288288290290289290291291291291292291999999288289289287287288288287288288288287289287288287287288288289289289289290289289290289289289288288288288287287286286285286285284284284283282281280279279279279280280280280279277276276276276275275275276276276276277277279280281281281281281282282283283283283283283284284285285285285286286286287286287287286286286286286286286286287287286287288287288288288289289289289289290290290290290290290290290291291291292292292292292288289289290290291291291291292292292292292292292292291292292292292292292292292292292292292293293293293293293293293293294294294294294295294294294295295295295293291293291293293293295295295294297296296295296296296298298299297297298294296297297298298297297299298297296297297299298297296294298298296297295295296295294294294294294295294294294295295294294293294294293294294294295295295293293295294292294294295294294293293294294293293294294295295294295295296296295296296296296296296296296296297296296296296296295295295295295294294295293293293293293293293293293293293293293293293293292292291291291291290290290290289289289289289289289289289289289289289289289289289289289288288288288288288287287287287287287287287287286286286286286286286286286287287286286286286286286286286286285285285285286285285285286286286287286286286286286286286287287288288287288288288288287287286286286286286285285285286286286286286286286286286286286287286286286285285285286286285284284284284283283283283283283284284283284284284284284284284283283283282281281281281281281282281281281281281281281281282282282281280281281280280279279279279279278278279278279278279279278278279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270275270263999254253256259262263262263264266269271272273272273274275277277279279280279278279281279281281278281280281282283284285285285284285287287286287288289289290289290288288288288289289289289290289290288288289288287289289289288289290292290291289999999999999290288289288287287287288289289288289288287288288288289289289289289289290290290289289289288288288288288287287286286286286285285285284284283282281280280280279280280280280279278277276276276276276276276276276276277278279281281282282281282282282283283283283284284284284285285285285286286286286287287287287287286286286286286286285286286287286287288288287288289288289289290290290290290290290291291291291291292292292292291289287289290290291291291292292292292292292292291291291291292292292292292292292292292292292292293293293293292293293293293294294294294294294294294294294295294294294292291292291293293293294297297296294294296296297297297299297296297297293294295297297294296295295295295295294295297297297297297298296295296297295295294294295295295294295294294294295294293293293293291293294293294294293292294293293292294293294293293293293294293293293294295295294295295295295295295295295296295295296296297296296295295296296296295295295295295294294292293292294293293293293293293293293293293293293293292292292291291291290290290290289289289289289289289289289289289289289289289289289289289289289288288288288288287287287287287287287287286286286286286286286286286287286286286286286286286286286285285285285285285285286286286287286287286286287286286287286287287288288288288288288288288287287286286286286285285285286286286286286286286286287287287287286286286286285285285286285285285284284283284284284283283284284284283284284284284284284284283283282282281281282281281281281281281281282282282282282282282281281281281280280280279279279279279279279279279279279279279280279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258256254256264261261262264263266266270270272272273274275275277277279278278279279279282281282281281282281281281283283286286287286286286287288288289289289289290288290288288290290290289291290290289290289289289289289290289288290290291290290289999999289290290288288288288287287287288290288288288288288288289289289289289289289289289289289288288288288288288288288287287286286286286285285285284284283282281280280280280280280280279278277277277278277276276276276276277277278279281282282282281282282282283283283283283283284284284285285285285286286285286286287287287287286286287286285285286286287286287287287287287287287288288289290290290290290290291290291291291291292292292291286287288290290291291291292292292292292292292291291291291291291292292292291292292292292292292292293293292292293292292293293294294294294293293293293293294293293294292292293292293292293292295295294293295296297297297298297297296297297298297296296298296296297296297297297294296295297297296296297296296295296295295294294295295295295294294293293293293293293293292293293293294293293293294293293293293294293293293294294294294295295295294293293294295295294294294294295295295294295295295296296296296295295296295295295295293294294294294293293293293293293293293293293293293293293293293292292292292291291291290290289289289289289289289288288289289289289289289289289289289289289289289288288288288288287287287287287287287287286286286286286286286287287287286286286286286286286286286285285285285285285286287287287286286286286286286286286286287287287288288288288288288288288287287287286286286286286286286286286286286287287287287287287287287286286285285285285285285285285284284284284284284283283284284283283284284284284283284283283283282282282282282282282282282282282282282282282282282282282281282281281280280280280280280280280280280280280280280280280278279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270999255255255257259259260261263263267265267269271272273273274274275276276278278277279280280280280278280281281282281281281283285286287288288288288290289290290290289289290291290291290290290291291290291290290291290289290291290289290290292291289289999999289291291289288288289288288287288289290289289289289289289289289289290289289288289289288288288288288288288288287287287287286286286286286286285285285283283282281281281280281280280279278278278279278277276276276276277277277278280281282282281282282282283283283283283283283284284284284285285285285286286287287287286287286286286287286286286286287287286287287287287287288288288288288288289290290290290290290291291291291291292292291289289289289290290291291291291292292292291292292291291291291291291291291291291292292292292292292292293292292293292292292293293294294294294294293293293293293293295292290291292292292292291294294294293295296296297297297297296296296294297297296297299298298297297297298297296295295297296297296295296296296295294295295295294295295295294294294294294293293292294293294293293293293293294294294294294293294294294294294294295295295295295294294293294295293293294294295294293294295295295296296295294295295297296296295294294293295293293293293293293293293293293293293293293293293293293293293292292292292291291291290289289289289289289288288288288289289289289289289289289289289289289289289289289288288288288287287287287287287287286286286286286286287287287286286286286286286286285285285285285285286286286287287286286286286286286286286287286287287288288288288288288288288288288288287287286286286286286286286287287287287287287287287288287287287286285285284285285285286285285284284284284283283283284283283283284284284284284284284284283283283283283283283283283283283283282282282282282282282281282281281281281280280280280280280280280280280280280280280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268999257257260258258259259262265267268269270271273274275274275276276276277278277279278280280279277279278281281282282282285285287287288287287286289289290290290289290291291291292291291290291291291291290290290291289290290289289290289289289288288999292289289290290288289289289289289289288289290289290290289289289289289288288288288288288288288288288288288288287287287287287287287286286286286286286285285284282282282281281281281280279279279279279278277277277277277277277278279281281282282281282282283283283283283284284283284284285285285285285286286286286287287287287287287287287286286286286286286286287288287288288288289288288287288289289290290290290290291291291291291291292292291291290290290290291291291291291291292291291291291291291290291291291291291291291292292292292292292293292292292292292292292293293293294293293293293293293293293294294292292291292292292292294294294292293294295295296295295296295295294295296296294294296297297297297296294295295294296297296294292293295295294293294295295295295295294294294293291293294294294294294294293294293293293293294294294294294295294294295295295295295295295295293293294294294294295296295295293294294294294295295295295294295293296296295295294295295294293294292293292293293293293292293293293292293293293293293293293292292292291291291290290289288288288288288288288288289289289289289289289289289289289289289289289288288288288287287287287287287287287286286286286286287287286287286286286286286286286286286286286286285286286286286286286286286286286286286287287287287287288288288288289288288288288288288287287287287287287287287286287287287288288287287288287287287286286285285284285285285285286286285284284284284284284283283283283284284284284284284284284283283283283283284283283283283283283283282282282282282282282281282281281281280280280281281281281281281281280280280280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264258256257263258258260263263267267268270271272274274274275276276277276278278277280279280278277279280282283281282283283284289286286287286286288288289289290290290290290291293292291291291291291291292291290291291290290291290289287286286286288999292288290290290290289289290290289289290290290290289290290290290290289289288288288288288288288289288288288288288288288287287287287287286286286286286286286285285284284283282282282281281280280280280279278278278277277277278278279280281281282281281282283283283283284284284284284284284284285285285285286286286286287287287288288288288288287286286286287287287287287287288289289289289288288288288289289290290290290290291291291291291292292291291291290290290291291291291291291291291291291290290290290290290291291291291291292292292292292292292292292292291292291292292292293293292293292292292292293293293293293292291292290291292294293293292294294293294294294294294294292295294296294297296296296296296295294294294295295296296295295294296294294295296293295295295295295294293293294294294296295295295295295294294294293293293294294294294294295294294295295295295295295296294295294294295294294293296296295295294295294294295295295295295295295296296294294293293293292293293293293293293292292293292292293293293293293293293293293293292292291291291291290290289289289288288288288288288288288289289289289289289289289289289289289289289288288288287287287287287287287287287287287287287287287286286286286286286286286286285285285286286286286286286286286286286286286286286286287287287287288288288289289289289289288288288288288288287287287287287287287288287288288288288288287288288287287286285285284285285285285285285285285284284284284284283283283283284284284284284284284284284284283283283283283283283283282282282282282282282282282282281282281281281281281281281281281281281281281281281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265264260258259260258260261263266267268269270272274274274274276277277277277278278280280278279281278280278279281285282283283283288288286287287288289288290290290290291292292291291291292292292291293291293291290292291291290291289289286286288288288999289286289289290290291291290290290290290290290290289289290290290290290288289289288288288288288288288289287288288288287287287287288287287287287286286286286286285285284284283283282282281281280280280280279278278278278278278279280280281281281281282282283283283283284284284284284284284285285285286285286286286287287287287288288288288288288287287287288288287288288288288289290289289289289288287288289290289290290290290291291291291292292291292291291291290291290290291291291290291291290290290290290290290290291291291291291292292293293292292292292292292292291291291291292293293292292292292294294294292294293292291292291291293292294294293294294294294293293293294293294293293293294293295296295294293294293293295296296296292295294292292292293294293292294295295293293293292295292293292295294295295295295294294294294294294294294294294294294295296294295295295295295295295296295295296295295295295294296296295296294294296296295295295296296295295294293293293293293293293293294293293293292293293293293293293293293293293294293293293292292291291291291290290289288289289288289289288288289289289289290289290290289289289289289289289288288288288287287287287287287287287287287287287287287287287287287286286286286286286285285286286286286286286286286287286286286286286287287287287288288288289289289289289289288288288288288288287288287287287287287288288288288288288288288288288287287287286286285284284285285285285285285285285284283283283283283283283283283283283284284284284284283284284284283283283282282282282282282282282282282281282281281281281281281281281281281281281281281281282282281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265266262260261260259261263267268268269271271273275274274275276276277277277279278279279279279278278278279279282283283284283284286286286288288289289290291291291293291292293291292292292292293292293292292292290292291292292291291289288288288288289289290290289289290291291291291291290291291292290290290289290290290290290289289287288288288288288288288288288288287287286286287287287287287287287287286286286286285284284284284284283282281281280280280280279279278278278279279280280280281281281281282282283283284284284284284284284284284285285285285285285286286287287287287287288288288288288287287288288287288288288289289290290290290290289289288288289289289290289290290290291291291291291291291291291291291290290290290290290290290290290289290289289290290290291291291292292292292292292292292292292292291292291291291291291291292292292292292292292294292291294293290291290292292291292293294295293294294293292292292292292292294293295295294294294294294294293294295295295294291295294292292293293294293292293295294293292295292293292292291295295295294296295297296294294294295294293294294296295295296295295295295295295295295296295293295296295295296296296295295296296295296296296295295295296296295295294294294294294293293293293292293292292292292293293293293293293293293293293293293292292292291291291290290289289289289289289288289288289289289289290290290290290289289289289289289289288288288288287287287287287287287287288288287288288288287287287286287286286286286285285286286286286286286286287287287286286286287287287288287288288288289289289289289289288288288288288288287287287287287287288288288288288288287287288287288287287287287286285284284284285285285285285285285284284283283283283283283283283284283284284284284284283284283283283283283283283282282282282282282282282282282282282281282281281281281282281282282282282282282281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263261259259258259262265266270270271273274274275276277275277276277277278279279279279280280279278279283281284283283284285284285286287288289290291291291292292293292292293292292293293293293292293292292292291292292292292291290289289289288289290290290290290290291291291291292292291291291291290290290290290290291290290290289288288288288288288288288288287287287287286286287287287287287287287287287286286285285285284284284284284283282281281281281280280279278279279279280280280280280280281282282282283284284284284284284284284284284284284285285285285286286286287287287287287288288287287287287287288288288288288289289290290290290289288289289288288289290290290290290290290290291291291291291291291291290290290290289289290289289289290289289289290289290290290291291292291292292292292292292292292292291292292291291292291291292292292292292292292293294292292293292290291289291291294293294294294294293293291292292290292292294292294294293294295295294294294294294293294294293294294294295293292293295293293295293294293292293294292293293293294294294295295295294294294295294293293293294294295295295296295296295295296295295295295297297295296295295296296296296296296296296296295295295295296295296294294294294294294293293293292292292292292292292292293293293293293293293293294293293293292292292291291291290290289289289289289288289289289289289290290290290290290290290289289289289289288288288287287287287287287287287287287288288288288288288288287287287286286286286285286286286286286286286287287287287286286286287287287288288288288288289289289289289289289288288288288288287287287287288288288288289288288288287287287287287288288288287287286285284284284284285285285285285285285284284284283283283283283284284284284284284284284284283283283283283283283283282282282283282282282282282282282282282281281281281282282282283283283282282282282282281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264262265265259259261265266267271272273275276275276276276275277276277276279279279279279279278278278280283282283284286285285286285286287290289290291291292293293294294293293293293293293292292293292293292292292292292293291291292291290288289290290291291291291290291292292291291291292291291291290290290291290291291291290290288288288288288287288288288287287287287287286286287287287287287287287287287287286285285285285285285284284283282282282282280280280279279279279279280280280280281281282282282282283284284285285285284284284285284284284284284284285286286286286286287287287287287287287287287287287287287288289289289290290290289289287288288288288288289290289289289290290290291291291291291290290290290290290289289289289289289290289289289290290290289290290290291292292291292292292293293292292292292292292292291292292292291292293293292293292293294294294292293293293291293292295295295294294293293294293293292292292292293293292294295295295294294294293293293292292293293293292292294293293294293294295294294293292293294295292295293294291294295295295295295295295293293292294295295295295296296296296295295295296295294295296297295295294296296296297297297296296296296295296295296296296295295294294294294294294293292291292292292293293292292293292292293293293293293293293293293293293292292292291291291290290289289288288288289289289289289289290290290290290290290290289289289289288288288288287287287287287287287287288288288288288288288288288287287286286286286285285286286286287286286287287287286287287287287287287288288288288288289289289289289289289289289288288288288288288288288288288288288288288288288287287287288288288288288288287286286285285285285285285285285285285285285284284284284283283284284284285285284284283284284283283283284283283283283282283283283283282282282282282281282282281282282282282283283283282282282282282282281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260257258265260262264265267270272274276276276277276276276276277277277278278278277279279279276278280281283284285287286283284287288289289290289291292292294295294294293293293293294294293293294293293293293292292292292292292292292290289289290290290291292292292292292292291291291292292291291291290290290291290291290290289289289289288288288288288288287287287287287286286287287286287287287287287287287286286285285285285285284284283283282282282282281281281280280280280280280279279280281281282282282283283284284285285285284284285285285285285284284284284285285286286286286286286286286286286286286286286287287288289289289289290290290289288287287287287288289289290290289289289290290290290290290289289290289290289289289289289289290290290290290290290290290290290291291291292291292292292293293292292293292292292292292292292292292292292293292293293293292293294293293293291291294294294294294293294294294294293293293291293294291293292292295295293293292290293293293293293292292292294293294294294292292293294293292293293294293293293293293292293294294295295295295295295294295294294294294294296296295296295294294296295296295295295295296295294296296296296297296296295295295296296295295296295295294294294293292292293293293293292293292293293292292292292293292293293293293293293293293292292292292292291291291290290289289289288288289289289289290290290290290290290290290289290289289289288288288288287287287287287287287288288288288288288288288288288288287287286286286285285286286286287287286286287287286286286287287287288288288288288288288289289289289288288288288288288288288288288289288288288288288288288287287287287287288288288288288288287287286286286286285285286286286286285285285285285285284284284284284284284285284284284284284283283284283283283283283283283283283283282282282282282282281282281281282282282282282282282282282282282282281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264259257255256263264263266267270273273276276276275276276276276277276277277276275278277279278278280282282284285285286288286287289289290289291292293293294295295294294293293293294293294293293292293292292292292292291291292291292291290289290291291291292292292293292293293292292291292293292291291291290290290291290290290290290289289288288288288288288288287287287287287287287287287287287287287287286287287286285285285285284284284283282282282283281282282281281281281281281281280279280281281282282282283283284284285285285285285285285285285285284284284284284285285286286285285286285285285285285285285285286286287288289289290290290290289288287287286287288289289290289289289289289289290289289289289289290289289289289289290289290290290290290290290290290290290291291291291292291292292292292293292292292292292293293293292292292292293292292292292293293292292293294293293293292294294294293293293294293294293293294293293294293291294291293292293292293293293293291293296292294293294294294295293293293293293293294294294292292293293291292293294295295294295295295294295295294295294294293295295296296296294293296295295295296295295295295295295295295296296296296296296295295295295295294295294294294294294294293293291294292293293291293293292292292292292292292292292292292293293293292292292292291291292291291291290290290289289289289289289289289289290290290290290290290290290290289289289289288288288288288288288288288288288288288288288288288288288288288287287287287286286286286286286286286287287287287287287287287287288288287288288288288288288289289289288288289288288288288288289289289288288288288288288288288287287288288288288288288288288287287287287286286286286286286286286286286286285285285285284284284284284284284284284284284284284284284283283284283283283283283283283283283282282281281281281281281282281282282281282282282282282282282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267261999252258262263264267268271273273274277277277277276276276276276277277277276278277278280280280282284285285286287286286288290291290291291292293294293293294293293292293293293294293294294294294293293292291292292292292292291291290291291292292292292292293293292293292292291292292292292292291292290290291290290290290289290289289289288288288288288288287287287287287288287287287287287287287287286286286286285285285285284284283283282283283282282282282282282282282282282282282281280280281281282282282283284284284284285285285285285286285285284284283284284285285285286286285285285285285285285284284285286285286287288289290290290290290288287286286287288289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290290290290290290291291291291292292292292292292292292292292292292292292292292292292292292293292292292293293293294293294293293293294293293294293293294294294294293293293293293292293294292293293291293294295294293294292295294293294294293292293293294295295295294295294295296294295295296293293294294294295294294295295295294294294293296294295295296296295295294295296296296296295295295295295294295296296296296296295296294296296293294296295294293293294294294294293292293293292292293293293293293293292292292292292292292292293293293292292292292292292291291291291291290290290290289289290290290290290290290291290290290290290290290290290289289289288288288288289289289288288288288289289289288288288288288288288287287287287286286286286286286286286286286287287287287287287287288288288288288288288288289289289289289289288288289289288289288288288288288288288288288288287287287288288288288288288288288288288287287286286286286286286286286286286286285286285285284284284284284284284284284284284284284284284284284284284284284284284283283283282283282282281282282282282282282282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272271272999265999253262262263267268271272272274276276277277278277277277276275276277277278277276278279281283283285285285288289289288289288291291291291292292292293293294293292293293293294294294295294293291293294293292292292292292292292290290291291292292292291293293293293294293292293292293293292292291291291291290290290289289289289289289289288288288288288287287287287287287287287287287287287287287286286286285285285284284284284284283283282283282282282282282282283283283283283283282282282281280280280281282282283283283284284284285285285286285285285283283284284284284285285285285285285285285285285285284284285285286287288289289289289289289287287286286287287288288287288289288289289289289289289289289289290290289290290289290290289290290290290290290290290290290290290291291291291292292292292292292292292292292292292292292292292292292293293292291293292292293293293293293293293293293294294293293294293292292292291294293293294294294293293292292294293294294294293295295294293294294293294293294294294294294292293293293294294293294294294292293294294295295294294295294294294294295295295295295295296295295295296298297296296295296295295295295295296295296296296297296295296295295295295294293293293294294294293292293293292292293293293293293293293293293292292292292293293293293293293292292292292292292291291291291291291291290290290290290290290291291291291290290290290290290290290289289289289289288289289289289289289289289289289289289288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287288288288288288288288289289289289289289289289289288288288288288288288288288288288288288288288288288287288288287287288288288288287287286286286286286286286287286286287286286285285284284284284284284284284284285284284285285284284284284284285285284284284284283283283283282281282281282282282282282282282282282282282282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271269266259256254257262263265268270271272273274276277278278279278278277276276277277278279278278281282284283285286286286288289290288289290290291292292292292293293294294293294294294294294295294294294293293293293292292292292292292291291291290290292292291292292292293293293294294293293292293292292292291291291291291290290290289289289289289289289288288288288287287287287287287287287287287287286286286286286285285285285285284284284284284283283282282282282283282283283284284284284284284284283283282280281281282282282283283283284284285285285286286285285284283283284283284285285285285285285285285286286285284284284285286287288289289289289289288287287286286286287287287287288288288289289289289289289289289290290290290290289289290289289289289290290289290290290290290290290291291291291291291292292292292292292291291291291291292292292293293293293293291292293292292292292291292291291292292294295294293291294292292293294293293291292295293292293293295294294294294293292294294294294295294294295294295294295294295295294294294294294294295294294293294293293294295294294294294294294294295296296294295296296296295295295296296295295295296295296296296296295295296296296296296294296296295295295294293294294294294294293293293292293293293293293293293293293293293293292292293293293293293293292292292292292292291291291291291291291291291291291291291291291291291291291291291291290290290290290290290289289289289289289289289289289289289289289289289289288289288288288288288288287287288288287287287287287287287288288288288288288288288287287287287288288288288288288289289289289289289289288288288288288288288287288288288288288287288287288288288287287287287288288288288288288287287287286286286286287287287287287286286286285285284284284284285285285285285285285285285285285285284285284284284284284284284284283282282282282282282281281281282282282282281282282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272267999999260263256255256262266266267268270271272272274276277278279285281278999274275276277278279281280283284286285287284288287289288289289289292291292292292293292293293294294294294293294295295295295294294294294293293293292292292292292292291290291290291292292292292293293293293294294294293292293293292291291291291290290290289289289289290289289289289288288287287287287287287287287287287287287287287286286286286285286285285284284284284284284283283282282282283283283284284284284284284285285284284284283282281282282282283283283283284285285285285286285285284283283283284284284285285285285285286286286286286285285284285286286287288289289289289288288287286286286286286287287288288288288288289289288288289289290290290290290290289289290290290290290290290290290290290290290290290290291291291291291291291291292292291291291291291291291291292292292292293292292291291291292293291291293293294293293294295295295294294294295294295293294292293294293294293295294294293296295295294295295293294294295295296296296295295293294294294294295294294293294294294295295294294294295295294293294295295295294295295294295295295294296296295296296295295295296296296296296296295294297297297297297296296296296296294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293292292293293292292292292292292292292292291291291291291291291291291291291291291291291291291290290290290290290289289289289289290289290290289289289289289289289289288288288288288288288287288288288288288288288288288288288289288288288288288288288288288287287288287288288288288289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288289288288288288288287287286287287287287287287287286286286285285284284284285285285285285285285285285285285285284284284284284284284284284284284284283282282282282282282281281282282282282282282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265262258257257257259261263266268267268268270271273273276276275278278286999999999999999999274278279280284284286286287287287287289288288289291291291292291293293293294293292293293292293293294295296296295294293294292292292292292292292292292291291291291291292292292293292293293293293293293293292292293292292291291291290291290290289289290290290289289289289289288288287287287287286287287287287287287286286285285285286285285285285285285284284284284283282282282283283283283284284284285285285285285284284284284283283282282282283283283284285285286286286286286284283282283283283283283285285285285285286286286286285285285285285286287287288289289289288289288288287286285285286286287288288288288288288288287288289290290290290290289289289289289289289290290290290289290290290290290290290290291291291291291291291291291291291290291291291291291291291291292292293292291291291292291292291293294294294294294295295295295296293292295293295293293294293294294294294296294296296296295295295295295295294296295294294293293295295294295295294295295295294294295295295296296295295295296296295294295294295295295296296295295296296296296295295294295296294296297296296296297297297297297298297297296297296295296295293295293294294294294294293293293293293293292293293293293293293293293293293293293293293292292292292292293292292292292292292292292292292292291291291291291292292292292291291291291290290290290290290290290290290290290290290290290290290290290290289289289289289288288288288288288288288288288288288288288288288288289289289288288289288288288288288288288288288288288288288289290290290290290289289289288288288288288288288288288288288288288288288288288288288288288288288288289289288288288287287287287287287287287287287287287286286285284285285284285286285286286286286286285286285285284285284284284284285285285285285284284284283282282282282281281282281281281282282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264257255256261261261263265267268267266267270272272274275275275276999999999999999999999999273277278280281283287286288287288287287287288289291292292293292293293293293293292294293293293292293294295294295293293293293293292292292292292292291291291291291291292291292292293292293293293293293293293293292292292291291291291291290290290289289290289289289289289289288288288287287287287287287287287287286286286286286286285285285285285285285285284284283282282282282283284284284284284285285286286286286285285284284284284283282282283283284285286286286286286285285284284283283283283283284285285285285285286285286285284284285285286286287288289290289290289289289288287287286285285286287287288288288288288287287288289289290290290290290290290289289289289290290290290290290290290290290290290290291291291291291291291291291291291290290290290290291290291291291292293291292292292292292293293294294294294294293294294294295295292294294295293295294294294296294294293295295295295296295295295295295296295295295295295296293295294295296295294294295295293294294295296294296294295295295295295294295295295295295295295296296296296296296296296295295295295296297295296296296297297297297296296296296296295295294294293294294294294294294293293293293293293293293293293293293293292293293293293293293292292292292292292293292292292292292292292292292292292292292292292292292292292292291291291291291290290290290290290290290290290290290290290290290290290289290289290290290289289289289288288289288288288289288289288288288289289289289289289289289289289289289289289289289289289289289288288289290290290290290289289289289288288288288288289288288289288288288288288288288288288287288288288288288288288288288288288288287287287287287288287287287287287286285285285285285285285286286286286285285285285285285285284284284285285286285285285285285284284283282282282282281281281282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264257262261262263262265266267265266267268270273274274275275276999999999999999999999999999277277279281284285287287287288288288287288289290292293293291293293293294293292293293293292290291292291294293294293292293293293292292292291291291291291291291291291291292292292292292293293293293293292293292291291291291291291291290290290290289289289289289289289289288288288288288287287286287287286287287287286286286286285285285285284285285285285285283282282281282282283284284284284284285285286286287286285285285284284284283283282283284285286286287286285284284284284284283283283283283284284285285285285286285284283284284284285285286287288289289290290290289289288287287286286286286286287287288288288288287287288289289290290290290289289289289289289289290289289289290290290290290290289289290291291291290291291291291291291291290290290290290290290290290291291291292293292292292292292293293294294293294293294294292292295292294295295295295296296294294293295295294296297295295295293295295294295295294296297294294294296294295294294294294295295293294295293295296296296295294295294294294294295295296296296296296297296296296296296295295295295296296296296296296296297297296296296296295295296295294294294293294294294294294294293293293292293293293293293293293293293292292293293293293292292292292292292293293293293293292292292292292292292292292292292292292292292292292292291291291291291290290290290290290291291291291290291290290291290291290290289289290290290290290289289289289289289289289289289289289289289289289289289289290289289289289290289289289290289289289289289289289290290290290290289289289289289288289289289289289289289289288288288288288288288288288288288288288288288289289288289289288288288288288288288287288287287287287285285285285285285286286286286286285285285285285284285285285285286286286285285285285285285284284283283283282282281281281282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265261258258259264265265265264265266266265266266267271273272273278276279999999999999999999999999278278280280282286287288288289289290287288289288291292293293293293294294295295295293293292292292292292293292293293292293292293293292292291291291292291291291291291291292291292292292292293292292292293293292292292292291291291291291291290290289289289289289289289288288288287287287287287287287287287287286286286286286286285285285285285285285285285284284283282281282282283283284284284284285285286286286287286286285285285284284283283283283284285286285286285284283283283283283284283283283283284284285285285284285284283283284285284285285287288288289290290290289289289288288288287286286286286286286287288287287287287288289290290290289289289289289289289289289289289289289289289289289289289289289290290290290290290290291291290290290290290290290290290290290290290290291293293293291292292292293293293293294295293293294293292295291292294293293295295294293295296294294293293295295295295295295295296296295293295295294296296295297296296294294296295296293294295295295295296295296296295295294294295296296296296296296296296296296295296296296296296295296296296296296296297297296296296296295295295292294293293294293293294293294294294293293293291292293293293293292293293293293293293293293293293293293293293292293292293293293293293292292292292292292292292292292292292292292292292292292292291291291291291290290290291291291291291290290291291291291291290290290290290289289289289289289289289289289289289289289289289289289289290289289289289289289290290290290290290290290290290289289290290290290290290290290290290289289289289289289289289289289289288288288289288288288288288288288288288288288288289289289288288288288288288288288288288287287287286285285285285285286286286286286286286285285285285285285286286286286286285286286285285285285284284283283283283282281281281282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260259263265266265264265265264266265265267268268270269270271280280999999999999999999999999999278279281283285287288288287287290290289289290290291292292293294294295294294293295293291292295293292292999999292292292292293293292292293292292292292291291291292292291292293293293294293293293293293293293293292292291291291291291291291291290290289289289289289289289288288288288287287287287286286286286286286286286285285285285285284285285285285284283283282282282282282283283283284284285285285286286287286286286286286285285284284283283283284285286286285285284282283283283283284283283283284284284284285285284284283283284284285285286286288288289290290290290289289289288288288288286286286286285285287287287286287287288288290289289289289289289289289289289289289288289289288289289289289289289289290290290290290290290290290290290290290290290290290290290290290290290292292292292291291291292292293293293294294294293293294292294294293293295293297295295294296294294296295294295296295295296295296297297297295296297297296297297297296297296295295296296295296295295295295296296296296297296296295296296296296296296296295295296295296296296296296297296296296296296297296296296296296295295294292293294294294294293294294293294295295293293293293292292293293293293293293293293293293293293293292292292292292292292292292292292292293292292292292292292292292292292292292292292292292292292292291291291291291290290291291291291291291291291291291291291291291291291291291291290290290290290289289289289290290289290290290290289289289290290290290290290290290290290290290290290290290290290290291290291291291291290290290290290290290289289289289289289289289289289289289289289288288288288288288288288288288288288289289288288288288288288288288288287288287286285285285285285286286286286285285285285285285286286286286286286286286286286286286285285285285285284283283283283282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261263265264262264264266267267267265265266267267267267270270279999999999999999999999999999999999280282284285288289288289288289288289288290291292292294293294294294295295294293293291291293292292292291291291292292292292293293292293293292292292291291292292291292292293293293294293293293293293293293293292292292292292292292291291291290290290290290290289289289289288288288288287287287286286286286286286285286285285285285285285285285285284283283283283283283283283283284284284285285286286286287287287286286286286285285284284283283284285285285285285284283283283283283284283283283284284284284284285285284284283284284284285285286287288289290290290290289289289289289289289289288287286286286286287287287287287287288289289289289289289289290289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290290290290290290290290291291291290291292291291291291292293293293293294294293294293293294294295296295294296296296295296297294294296294294295295294295295297297297298297295297297296298297297297296297296296294294295295295294295295296296295296296297297295295295295295296296296296295296296296296297296296296296296296296296295296296296296295294294294293294293294294293292293294294294293293294293293292293292293293293292292293292293293293293292292292292292292292292292292292292292292293292292293292292292292292292292292292292292292292293292292292292291291291291291291291291291291291291291291291292292292292292292292291291291291290290290290290290290290290290290290290290290290289290290290290291291290290290290290290290290290290290290290290291291291291291291291291290290290290290290290290290290289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288287287286285286286286286286286286286286286286285286286286286286286286286286286286286286286285285285285284284284284283283282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271282279272269266261261262260263265265265266267263264264265265265266266267270271999999999999999999999999999999999999281283285287286289288289289289288289291290291293294294295294295294294294292293293293292292292293293292292292292292292293293293292292292292292292292291292291292292292292292292293292293293293293292292292291291291291291292292292292291290290290290289289289289289288288288287287286286286286286286286286285285285285285285285285285285284284284284284284284284284284284285285285285286286286286287287287287286286286285285285284284283283284285285285285285284284284284283283284284284284284284284284284284285285284284284285285286286287288289290290290290290289289289290289289289290290288287287287287287287287287287288289289289289289289289289289289289289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290290290290290290290291291291291291290291291291292293293293292293293293292293294295295295296297295294295294294295296296295294296295295295295295296296294295297295295296297296297297296297296296296296295295295295295294294294295295296295296296296296296296295295295295294294294295296295296296296296295295295296296295294294295295295294295294294293294295294294294293294294294293294294294293293293294293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292293293293292293292292292292292292292292291291292291291291291291291291291291291291292292292292292292292292292292292291291291291291291291290290290290290290290290290290290291291291291291290291290290290290290290290290290290290290291291291291291291291291291290290290290290290290290290290290289289289289289290288288288288288288288288288288288288288288288289289288288289289288288288288288288288287286286286286286286286286285285285286286285286286286286286286286286286286286286286286286286285285284284284284283283283283282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270275275271266264265265263265265271266266267265262262261262263264265266267269999999999999999999999999999999999999281284285287287287289289290290290289287290292292293293294293292293294294293292293293293293293292292293293292292292292292292292293292292292292292292292292292291292292292292293293293293293293293292292293292292291292292291291291291291291291291290290289289289289289289288288288287287286286286286286286286286286285285286285285285285284284284284284285285285285286286286286286286287287286286287287287287286286286286285285285285284283284284285285285285284284284284284284284284284284283283284284284284284284284284284284285286286287288289289290290290290290289289289290290290290290290289287287287288288287287288288289289289289289289289289289289290289289289289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290290290290290290290291291291290291291292292292292291293293294294294294296296296295297297296296296295295294294295295295295296294296297295295295296297296296295296296295296296296297297296296295295295295295295294297295295295296296296296296296295295295295296295295295296296295296296296296296296296296296295294294293293294295294294294294293294294293293293293294294294294294294294293293292294292293293293293293293292292292293292292292292292292292292292292292292292292292291291292292292292292292292292293292293292292292292292292292292292291291291291292292291291291292292292291292292292292292292292292292292292292292292292291291291291291291290290290291290291291290290290291291291291291291290290291290290290291291291291291291291291291291291291291291291291291291291291290290290290290290289289289289289289289289289289288288288288288288288289289288288289289289289289289289289288288288288288287287286286286287286286286286285286285286286286285286286286286286286286286286286286286286285285285284284284284284283283282282281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268273270270269267265265265266271273267267265262262258260260263263265266267268999999999999999999999999999999999999284286286287288289289289289290290291289291292292293293293293999292294999999293293292293293292293292293292292293292292292292292292292292292292291292292292292292292292292293293293293293293293292292292292292292292292292291291291290291291291291290290290290289289288289288288288287287287287286286286286286286286285286285285285284285285285285285285285286286286287287287287287287287287287287287287287287286286286286285285285285284283284285285285285285284284284284284284284284284284284284284284284284284285284284284285286286287287288289290290290290290289289289289289289290290290290290288287288288288288288289289289289289289289289289289289289289289289289289289289289289289289288289289289289289289289289289289289290290290290290290290290290290290290290290290291292292291291292291291292293294293293293293294293294293296296296295296295295295295295295296294294296293295297295297295294295296296296296296294296295296296297295296294295295296295296296295295296296295296295296296296297297297296296295296295296296296296296295296296295296295295295295295295294293294293294295294294294294293293294294294293294294294293293294295294294294293293293293293293293293292293292292292292292292292292292292292292292292292291291292292292292292292292292292293292293293293293292292292292292292292292292291291292291292292291291292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291292291291291291291291291291290291291291291291291291292292291291291291291291291291291291291291291290290290290289289289289289289289289289289289288288288288288288288288289289289289289289289289289289288288288288288288288287286286287287286286286286285286285286286286286286286286286286286285285285285285285285285284284284284284284283283283283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270270268265263264271268273273273267264259258258259262263264266268269999999999999999999999999999999999999283285286285287288289289289290290290291290292292293293293293291291292292291292292292293293292292292292293292292293292292293292291293293292292292291292292292292292293292292292293293293293293293292292292292292292292292291291291291291291290290290291290290289290289289288288288288287287287287287287287286286286286286285285285285285285285285285285286286286286287287287287287287288288287287287287287287286286286286285285285285285284284284285285285285284284284284284284284284284284284284284284285285284284284284285285286286287287288288289289289289289289289289288289289289290290290290290289288288289287288289289289289289289289289289289289289289289289289289289289289289289289289289288288289289288289289289289289289290290290290290290290290290290290290290290290291291292291292291291292292293292292292293293294293294293295295295294295295296296295296295296297297297298297296297297294295295295295295297297297295296296295296296297297296296296296296296296296296296297296296296296296296296296296295294296296296296296296296296296296295295294295294295294294293293293293293294294293294293293293294293293294294294294293294294294295294294294293293293293294293293293292292292292292292292292292292292292292292291291291291291292292292292292292292292292292292292292293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291292292292292291292291291291291291292292292291291291291291291291291291292292292292292292292292292292291292291291291291291291291290290290290290289289289289289290289289289289289289289289289288288289288289289289289289289289289289288288288288288288288287287286286286286286286286285285285285286286286286286286286286286286286286286285285286285285285285285285284284284284284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267265267265264262261267272274276270269267267261260262264266268268269268271999999999999999999999999999999999999283285286287287288289290290291291291291292293293293293293293293292291292292293293293293293293292292292293293292293292292293292293293293293293292292292292293293293292292293292293293293293293292292292293292292292292291291291291291291291290291291290290290289289289289288289288288288288288288287287287287287287287287286286286286285285286285286286287286287287287287287287287288287287287287287287287286286286286285285284285285285284284284285285285284284284284284284284284284284284285284284285285284284283284285285286286287287288288289289289289289289289288289288288289289289289289289290290288288288288289289289289289289289289289289289289289289289289289289289289289289289289289289289289288289288289289289289290290290290290290290290290290290290290291290290290290292291291292291291292292291292292292292293293293293294295295295296296296295295294295295296296297297298297294295294294295295294296295296296297295295296296296296296295297295295295296297297297297297297297295295296296295295296296295295296295295297296296296296296295295294295294295295294294294294294294294294292292293293294294294293294295295294294294293294295293294294294293293294294293293293292293292292292292293292292292293293292293292292292292291291292292293293293293293292292292293293292292292292293293293293293293292293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291292291291291291291291291291291291291291292292292292292292292292292292292291291291291291290290290290290290290290289289290289289289289289289289289289288288288288288288288288288289288289289289289288288288288288288288288288287286286287287286286286286286286286287287287287287287287286286286286286286285286285285285285285285284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263264264264264263260261265268275276270270267263263265266268270269270272270999999999999999999999999999999999999280283286286287288289289290291291291292292293293294293293293292292293292293293293294293292293292293293293293293292293293293292293292292293293293293293293293293293293292293292292293293293293293293292292293293292292292291291291291291291291291291290290290290290290289289289289289288288288288288288288288287287287287287287286286286286286286286286286287287287287287287287287288288287288287287287286286285285285285285285285285285285284284285285285285284283283284284284284284284285285285285284284283283283285285285286286287287288288288289289289289288288288288288288288288289289289289289289290289288288289289290289289289289289289289289289290290289289289289289289289290289289289289289289289289289289289289289290290290290290290290290290291291291291291291291291291291291291291293291291293292292292292292292294293292294295296295296296295295294295295294295296296296296296296295296297296295295295297295298297297298297297297296296296295296297297296295295297297297297297298296297296296296297297296296296296296296296297296296297297296293295295295294294294294294294294294294293293294292293292294293293294295294294294293294293294294294294294294294294294293293293293292293293293292293293292293293293293293293293293292292292292292293293293293293293293293293293293293293293293293293293293293293293293293292293292292292292292292292292292292292292292292292292292292292293292292292292292292292292291292292291291292292292292291292292292291291291291291291291291291291291291291291291291291291291291291291291291290290290290290289290290289290290290290290290289289289289289290289289289289289289289289289289289289289289289289289289289289288289288288288288287286286286287287287286286286287287287288287287287287287287287287286286286286286286285285285285285285285285285284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265259261263262263262262260261263266275275269269265263264265268274271271272274999999999999999999999999999999999999999282285286287288289289290291291291292293293293293294294294294293294293292293293294294293293293293293293293292292293292293292292293293293293293292293293293293293293293293293293293293293293293293293293292293293292292292291292291291291291291291291291291290290290290290290290289289289289289289289288288288288288288288288287287287288288287287287287287287287287287287287287287288288288287287287286286285285285285285285284285285285284284284285285284284283283283284284284285285285285285285284283282283284285285285286286286287287288288288288288288288288288288288288288287288288289289289289289290289289289289289289289289289289289289290289290290290290290290290290290290290290290290289289289289289289289290290290290291291291291290290290290291291291291291291291291291291292291293291292291292292292290292293293294293294294293295295294295296294295295294293293294295294295295295295296296297294295295297295296297297295296297297296296298297297297297295296297297297297297297297296297296296297297296296295296297296296296297297295295295295296296295295294293294294294294294293293294294294293293294294294293294294293295293294294292294294294293293293293294293293293292292292293293292292292293292293293293293293293293292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292291292292291291291291291291291291291291291292291291291291291291291290291291291291291291291292292292291291292292291291291291290290290290290290290290290290290291291290290290289290289290290289290290289289290290289289289290289289289290289289289289289289289289288288288287286286286286286287286286287287287288288287287287287287287287287287287286286285285285285285285285285285285284285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266257257259261261260261261261261262268273273274276269264264263266269274272272274278999999999999999999999999999999999999999282285286287288289289290290290291292293293292292294293294293293294295294293294294295293293293293293293293293293293292292292292292293292292293293293293293293293293292293293293293293293293293292293293292292292292292292292291291291291291291291291291290290290290290290290290290290289289289289289289289289289289289288288288288288288288288288288287288288288288288288288287288288288288287286286286285285285285285285284284285285285284284284284284285284283283283283283285286286286285285283283283283284285285285285286286287287288288288288287288288288288287287287288287287288288289289289289289290290289289289290289289289289289289289289290290290290290290290290290290290290290290290290290290290290290290291291291291291291291291291291291291291291291291291291291292292293293291293292290292292293293291292292292293292293294295295294293294295295295295295295295294294295295297296296294296295296294296295296297297297297297296297296296297297296296295296296294295295296296297296295296296297296296296296296296297296297296296296294295294295296296295295294294294294294295294294293294294293294292294294292293294294294294294294294295295294294293294293294294293292293292292293293293293293292292293292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292291291292292292292292292292292292292292292292292292292292292292292292292291291292291291292292292292292292292292291291291291291291291291291291291292291292292292292292292292292291291291290290290290290291290290290290291291291290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289288289288288287287286286286286286286287287287288288287287287287287287287287287287286286286286285286285285285286285285285286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274264250252256257258259261262263263265269274274276270268260260259261270275275273274999999999999999999999999999999999999999999282284287287288289289289290290291292292292293292293294294294293294294294294294293293292292292292293293292292293292293292293293292292292292293292293293293292291293292293293293293293293293293293293292292293293292292291292291291291291291291291291291290290290290290290290290290290290289290290290290290290289290289289289289288288288288288288288288288288288288287288288287288288288287287286286285285285284285285285284284285284284284284284284284285285284282282283284285286287287286285284284285285285285285286286286286287287288287287287287287287287287287287287287287287288288288289289289289289289289289289289289289289289289289290290290290290290290290290290290291291291291291291291290291291290291291291291291291291291291291291291291291291291291291291291292292292291290291292290292291293293293292293291293293293293293294294293295294294295295295295295296294295295294297296296295295296296296296296294297297297297297296297295296296294294294295295294294295296297297295295295296296296296296297297297297296296297295297296295294296295294293294295295295294295295295295294293294294292294293293294294294295295294294293294294294295294294294294293294293293293293292292293293293292292292292292292293293292293293293293293293293293293293293293293293293293293293293293293294294293294294293293293293293293293293292292292293292292292292292292292292292293293293293293293293292292292292292292292292292292292292291292292292292292292292292292291292291291291291291291291292291292291292292292292292292292292291291290290290290290290291290290291290291290290290290290290290291290290290290290289289289289289289289290289289289289289289289289289289289288289288288287287286286286286286287287287288288288288288288288288288287287287286286286286286285285285286285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259260252251251252254255259261262263265266270271276278278271267259257261260268275276275275999999999999999999999999999999999999999999285287288288289290291291290291291292292292293293293294294293294295294294294294293292292292293290291292292292292292292292292293292292292292293292292293293292292292292292292292292292292293292292292292292292292292292291291291290291291290290290290290290290289289289290290291290290290290290290290290290290290290290289289288289288288289288288288288288288288288288288288287288288288287287286285285285284284284284285285285284285284284285284285285285285285284283285285285286287287286286286286286285285286286286286286287287287287287287287286286286286286286286286286286287287287288289289289289289289289289289289289289289289289289290290290290290290290291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291292291292292292292292292292293293292292293292292293292293291291293293291292293293293295294295295296296295294295294293296296297296296296295295295295296295296296295295296296296295296295297295295294295296295296295295295295295296295296296296296297296297296296296295295295296296296295294294293293293295295293294295295296294293292292293292294292293293293294294295294294294294294294294293295293293294294293293293292293293294293293293293293292293293293293293293293293293293293293294293293293293293293293293293293294293293294294294293294293293293293292292292292292292292292292292292292292292292293293293293292293293293292292292292292292293292292292292292292292292292292292292292291291291291291291291291291291291291291291292292292292292292292292292292291291290290290290290291291290291291292290290290290290290290290290290290290289289289289289290290290290290290289290290290289289289289289288288289288288287287287287286286287287287288288288288288288288287287287287287286286286286285285285285285285285285285285285286286285285286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266266263265259256258256255256257261262266267268272272276278280280278262260257271265269275275276999999999999999999999999999999999999999999283286286288289290290291291291292292293293293294294294294294293294293294295295295295293293292293291291292292292292293293293293293292292293293293293293293293293293291292292292292292292292293293292292292292292292291291291291291291290291290290290290291290290290289289290289289290289289290290290290290290290289290289289289288288288288288288288287287287288288288288287287287287287287287286285285285284284284284284284284284284284284284284285285285286286285285285286286286286286286286285285285285285286286286286286286286286286287287286286286286286286286286286286285285286287287287288288288288288289289289289288288288289289289289289289290290290290290291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291292291292292291291292291291293291290292291293293293293293293291291292293293292292293294295295296296294296294296294293293294295295295293294294295295294295294296295296296295294295297295296296296295296296296296296295295295296296296296296296296296295295295294295296294295295295296296295295293293293294294294294293294295293294293296295294293293293294294293293294294294293293293294294293293293294294294293295294294294294294293293293293293293293293293293293293293293293293293293294294293294294294294294294294294294294294294294294294293293293293292292292292292292292292292292292292292292292292293292292292292293293293293292292292292292292292292292292292292292292292292292291291291290290291290290291291291291291291291292292292292292292292292292291291291291290290290290290290291291291291291290290290290290290289290290289289289290290289289289290290290290290290290289289289289289289289289289288288288288287287286286287287287288288288288288288288288288288287287287287286286286286286285285285285285285285285285285286286286285286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263259265264264262261260262258258260263267270269270270273273281281279274261261260263268272277276282278999999999999999999999999999999999999999284287288289289290290291291292293293293294294294294294294294294295295296295294294295294293293292292291292292293292293293292293293293293293293293293292293294293292293292293293292293292292293292292293292292292292291291291291291291291291291290290290291291290290290289289289290289289290290290290291290290290290290289289289289289289288289289289288288288288288288288288288288288288287287287286285285285284284284284285284284284284284284285285285285286286286286286286286286286285285285284284284285286286286286286286286286286287287286286286286286286286286286286286285286286286286287288288288288288288288289289288288288288289289289290290290290290291291291291291291292292292292292292291291291291291291291291291291291291291291291291291291291291291292292292292292292292292293292291290291293291292292292292292292292292293293293294293294296296296296296296296296295294293293293293294294294294293294295294296296295295296296295297296295295296297297297296296295296296296295294294295295296295295293295294295295294296296295295295293295295295293294293294294293294294293294295295295295295295294294293293292293292293294294294294294293293293293294294294294294295294294294294294293293293293293293293293293293293293293293294293293293294294294294294294294294294294293293294294294293293293293293293292292292292292292292292292292292292292292292292292293292292292292292292292292292292292292292292292291291291291291291291291291291291291290290290290290290291291291291291291291292292292292292292292292292291291291291291291291290290291291291291291291290290289289289289289289289290289289289289290290290290290290290290290289289289289289289289289289289288289288288287287286287287288288288288288288288288288288287287287287287287286286286286286285285285285285285285285285285285285286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257269262258257255256257260262262258260263266269271271272272271279280281279270262261262265270276279278278285999999999999999999999999999999999999999286287288289289290290291292292293293294293294294294294295294295295295295294295293294293294292291291291292292292292293293293293293293293293293293293293292294293292292293293293293292292292292292292292292292292291291291291291291291291291290290290290291291291290290289290289289289290290290290290290291290290290289289289289289288288289289289289289288288288288288288288288288288288288287287286285285285285285284284284284285285284285285285286286287287287286286286286286286285284284285285285285285286286286286286286286287287287286287287287287287287287287287286287286286286286286287288288288289288288289289289288288289289289289290290290290291291291291291291292292292292292292292292292292291291291292292292291291291291292292292292292291291292292292292292292292293292291291291291291292291291292294292292294293294294294292295294294295296295295295295295296296294294294295294295294293292294293293294295295295295295295295295296296295294294295296296295295296295296296295295296297295295296296295294294295295295296296293294294295295295296294296294294295296294294294295296296294295294295295293294294293294294294295294294293293294294293292293294293294294295293292293294294293294294294293293293293293293293293293293293293293293293293293294294294294294294294293294294294293293293293293293293293293292292292292292292292292292292292292292292292293292293292293293292293292292292292292292291291291291291291291291291291291291291290290290290290290291291291291291291291291292292292292292292292292291291291291291290290290290290291290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289288288288287287287287288288288288288289288288288288288288287288288287287287287286286286285285285285285285285285285285286286286286286286287285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259256255257257254254256260259260263265268270272273273273272279279279273269267270269272273278282279278999999999999999999999999999999999999999283287288288289289289291291292293294294294295294294294295295294293295294293295294293293292293293291291291291291292292292293293293293293293293293292293292293293292292292293293293292292292292292292291291292292291291291291291291291291291291290290290290291291290290290289289289289290290290290289289290290290289290290289289289289289288289289289289289288288288288288288288288288288288288287287287285285285284284284284284285285285285285285286286286286287287286286286285285284284284284284284285285285286286286286286286287287287287287287287287287288287287287287287287286286286286287287288288288289288288289289288288288289289289290290290290290291291291291292291291292292292292292292292292292291291292292292292291292292292292292292292292292292292292292292292292292292292291291291290291293293291292292291293292293293294293295294294294294293292294294295295296296295294295294295296295293292293295294294296295295296297295295296298296296294295294295296294295295295295295297296296295295295296296296294294294294295296295293294293294294294295295295295295296295295295295296296295296294294294295294295294295294294294293294294294293294294294294294293293294294295294293292294294293293293294293293293293293293293293293293293293293293294294294294294294294294294293293293293293293293293293293293293293293292293292292292292292292292292292292292293293293292293292293293293292292292292292292291291291291291291291291291291291291291291290290290290291291291291291291291291291291292292292292292291292292291291291291291290290290291290290290290290290290290290290290290290291290290290290290290290290290290290290290290290289289289289289289289289289289289288288288287287287288288288289289289289288288288288288288288288288287287287286286286286285285285285285285284285285285286285286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256253256256256255258259258259262262262265266270273274274274274274272270269267267267272273279279281282280279999999999999999999999999999999999999999284287289288288289290291292293294294294294294293294294294295294293294294293293294293292292291292291291291291291292293293293293293294293293293293293293293292292292293293293293292292292292292292292291292292292291291291291291291292291291291290290290290290290290290290290290289289289290290290289289289290290289289290289288288289289289289289289289288289288288288288288288288288288288288287287286285285285285284285285285285285285286286286286286287287287287286285285285285284284284284284284285285285286286286286286287287287287287287287287287287288287287287287287287287286286286287287288288288288288288288288288288288289289289289290290290290291291291292292292292292292292292292292292292292291291292291292291291292292291291292292292292292292292292292292292291291291291291291291291291290293292293292293293292292291293293294292294294294294293292294294295295295295295294295294296295293294293295293293295295295294295293293293296297295295296295295294294295294294294294296295294294294295295295296296295295294296295294294295294293294294295296295295295295294293294296296294295295294294294294294295295295295295294294295295295295294294294294293292293293292293294294294294293293293293293293293293293293293293293293293293293293293293293293293293294293293293293293293293293293293293293293293293293293292292292292291292292292292292292292292293293293292293293293293293293293292292292292292292292291291291291291291291291291291291291291290291291291291291291291291291291292292292292291291291291291291291291291291290290291290290290290290290290290290290290291290290291290290290290290290290290289290290290290290290289289289289289289289289289289289288288287287287288288288288288288288288288288288288288288288288288287287287287286285285286285285285285284284285285285285285285286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254254255256255257261262264266267266265267270272275276276276275273270268266264264268274278279281283283282283999999999999999999999999999999999999284286288288289289290291291292294294294294293293294294293293293293294293293294293292293292292292291291290291291291292292293293293293293293293293292293293293293292292293292293293292292292292292292292291292291291292291291292292292292292291291290290290290290290290290290291290290290290290290290290290290290289290289290290289288289289289289289290288288288288288288288288287288288288288288288287286286285285285284285285285286286286286286286286286286286286286285284284284284283284284284284284284284285286286286286287287287287287287287287287287288288288288287287287287287286286286287287287288288288288288288288288288288288288289289289290290290291291291291292292292292292292292292292292292292292291291291291291291291291292292292292292291291291291291291291291291291291291290292291291293290292293293291292294295295295294295293292293293293293293294292293294294294294294295295295295294294293295293295293293293295293294293294296296296296296297295295295296296295294295295296295295294294294294294295295295296295295295294294295293293295295295296295295295294294294295295294294294294292292294294293295294295295295294295295294294294294294293294293293294293293293292294293293293293293293293293293293293293293293292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292291291292292292292292292292292292292292293293293293293293293293293292292292292292292292292292291291292292292292292291291291291291291291291291291291291291292292292292292291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290289289289289289289290290290289289289289289289289289289289289289288288288287287288288288288288288288288288288288288288288288288288288287287287287286286286285285285285285284285285285285284285285286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261999258253257256259262261263264266267268270269270272273276276277277273272268266265265268272277280282284285283283286286999999999999999999999999999999999286288288289289289291290292293293295294294293293294294294293293293293293294293294292293292292292292291291291291292293293293293293294293293293292293292293293293291293293292293292292292291292291291292292292292292292292292292292293293292291290290290290290289290290290290290290289290289290290290290290289289289289289289290289289289289289289289289289289289288288288288287287288289288288288287287286286286285285285285285285286286286286286286286286286285285285284284284283284284284285284283283284284285286287287287287287287287287287287287287287288288288288287287287286287287286286287287288288288288288288288288288288288288288288289289289290290291291291291291292292292292292292292292292292292291291292291291291291291292292291291291291291291291291291291291291291291291290291291291291292292292293292292292295295294294295296296293295295294294293293293293293293292294295295294294294293294294294295295295295295295296295294296295294295296295295294295296297295295294295294294294294295294294294294295296296295296296294294295295295294295296296295295295294295294293294293293293293292293293292293293293292294294294294294294292294294293292293293293293292293294293293293293293293293293293293293293293293293293292293292292292293293293293293293293293293293293293293293292293292293292293293293293293293292292292291291292292292292292292292292292293292292292292292292292293293293292292292292292292292292292292291292292292292292292292291291291291291291291291291291291291292292291291291291291291291291290291291291290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289290289289289289289289289288288288288287288288288288288288288288288288288288288288288288288288288288287287287286286286285285285285285285285285285285285285285286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285999999999999999999999999999999999999999999999999999999999999276999999999259259261261259260260261263264265266267268270269271272272273274276276274274273269266265265272274277280282282284283284285286287999999999999999999999999999999286288288288289289291292292292293294295295294294294293294294294293293293293293293293293292292292292292292292293292292293293294293293293293293293293291292293293293292292292292292292292292292291291292292292292292293293292293293293294293292291290290290290290289290290290289290289289289289289290289288289289289289289290289289289290290289289289289288288289289289289289289288288288288288288288287287287286286285285285285285286286286286286286285285285285284284284284284284284284284284284284283283283284285286286287287287287287287287287287288287288288288288288287287287286286286286286287287287288288288288288288288288288288288288288289289289289290290290291291291291292292292292292292292292292291291291291291291291291291291291291291290290290290290290290290290291291291291291291291291292291292291292292292293293295294293294294294294295293292294292295293292293292293295295295294293293293292292294294294294292295296295296294294296294296295297294295295295294294295294294295294294294294295295294294295295295296294295294294295295294293295295296295294294293294294294293293293292292291294293293294293292292292294294294294294294294292293293294294293293294292293293293293294294294293293293293293293293293293293292292292292292293293293293293293293293293293293293293292293292293293292292293293293293293292292292292291292292292292292292293292292292292292292292292292292292293293292292292292292292292292292292292292292292292292292292291291291291291291291291291291292292292292292291291291291290290290291291291291291290290289290289290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288287287286286286286285285285285285285285285285285285285286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287999999999999999999999999999281283999999273273273273999275272270265264263263263264264262263264265268267268268270272274273273273273275275273270268269270268270272276279280281282283284284285285287287999999999999999999999999999999287288288287290289290291292294294294295295295294295294295294294294294292293293293293293293292293294293293293293293293293294294294293293293294293293293293292293293292292292291291292292292292292292292292292293293294294294293293293293292292291290291291290289289289290290289288289290290289289288288289289288289289289289289289290290290289289289289288288289289288289289289288289289289288288288288288287286286286285285285286285286286286285284284283283283284284284285285285285285285285284284283283283283285286286287287287287287287287287287288288288288288288288287287287286286286286286287287288288288288288288287287287288288288288288289289289289290290290290290291291291291291292292292292292291291291291291291291291291291291291291290290290290290290290290291291291291291291291291291291292291291292292292293293294295291295294296295295294293294295294293292294293292295295295294294293292291292293293293293294293292295295294294296297296295296295294294293294295294293294294294294294294294295295295294293294295295295295294294295294294295295295295294295293293295294293292293292292292292294295295294292294292294295294294294294294294293295294293294294293293294293294294294294294294293293293293293293293293293293292293293293293293293293293293293293293293292293293293293293293293293293293293293293293292292292292292292292292292292293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291292291291291292292292292292291291291291291291290290290290291290290291291290290289290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288287287286286285286285285285285285285285285285285285285285285287286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278278999999999999999999999276278999999271271271271271270268268268267267266266266266267266267268270272270271271272275276276275274274273272272269270272272273275277279281283282283284284285285286288288290999999999999999999999999285288290289289290290291291293294295294294294294294294295295294293293294292293293293294293294293292293293293293293293293293294294294293294293294293293292292293293293292292292292292292291291292292292292292293293294293294293293294293292292292291291291291290290289290290289289288289290290289289287289289289290289290290289290290290290289289289289288288288289289289289290289289289289289289288288288287287286286286285285285285285285285284284283282282282282283284284285284285285285286286286284284284284284285286286286287286286287287287287287287287288288288288288287287287286286286286287288287288288288288287287287287287287287288288289289288289289289289289289290291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290291291291291291291291291291291292292292292293293292293293294295295295295294293294294293293294293293293293295293292292292293292290293294293293294294294295293296296297297297296294295296295295293293294294296295295295296294296295296294294295294293295296296296295295294295294295295294295295295295295293295293295294293293293294295295294293293292293293293294294293293294293294294295294295294294294294294293294293293293293293293293293293293293292293292293293293293293293293293293293293293293293292293293292292293293293293293293293293293293293293292292293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292293292292292292291292292292292292291292292291291291291291291290290290290290290291291291291290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289288288288288288288288288288288289288288288288288288288289289288288288288288288288288287287287286286286286285285285285285285285284285285285286285285285286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281279277999999999277276277283278275274273274274274272271271270270270269269269270269269270270270272273273273273274274277277276277276274275275274275275275276279279281283284283283285285285286287288288289999999999999999999999285285286289289289290291291291292293294294296296295295295295294294293293294294294292293293294293293293293293293293293293294293294294293293294293293294293293293293293293292292292292291292292291292292292292292292293292294293294294294293293292291291291291291290290289290290289289289289289289289289288289290289290290290290290290290290291290290290288288289288289289289289290289289288288289288289288288288287286286286285285285284284284284283283283282282282283283283284285285285284285286285286284284285284284285286286286287286286286287287287287287288287287287288288287287287287286286287287287288288288287287287287287287287287288288288288288289289289289289289289290290290291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290291291291291291291291292291293291292292292292292293294293294295294294293294294293294293294293294293292293292293292293291291292293292291292294293293294294293295295297296295295294295294293293294295294294294296296296294294294293294295294294293293294294294294295294294295294294293294294294293293294295295295294294293293293294295295294294294294293294293293294293294294293294295295295295294294294294294293293293293292293293293293293293293293293293293293293293293293293293293293293293293293293293292292293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292292292292292292293293293292292292292292292293293293293293293292292292292292291291292292292291292292291291291291291291291290290290290291291291291290290290290290290290290290290290290290289290290290290290290290290289289289289289289289289289289289289289289289289289289288288288288288288288288288289288288288289289289289288288288288289288288288288288287287287287286286286286285285286285285285285285285285285286286285285286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287282279277281999999277276276273275275275277278278277276276276275274274274273273275274272272273274275275276275276275275275275275276277278277278278278278281281281282283283284285284286286286287288288289289288287999999999999284284285287289290290291291290291292292293294294294294295294294293293293293293293294293294294294293293293293293293293293293293294294293293293293292293293293293292293293292292292292292291291292292291292291292292293293293294294294294294293293293292291292291290290290290289289289289289288289289289290289290289289290289290290290290290290290290290289289288289288289289290290290289289289288288289289288288287287286286285285285284284283283283283283283283283283283283283283284284284284284285285286285284285284284285285285286286286286286286286287287287288287288288287288287287287287287287287287288288288287287287287287287287287288288288288288288288288288289288289289289289290290290290291291291291291291291291290290290290290290290290289289290290290290290290290290290290291291291291291291291291291291291291292293292293294294295293293294293293293294293293293293294294294293294293292291293293294294292293291291293294293293293294293295296295293295294295295294295294293294294295295295296296294294294294293294293293293294295296295294293294294294294294294293294294295294294295294295294292293293295293293294294293293294293293293294293294293293294294293293294294294294293293293292293294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293294293293293293293293293293293293293293292292292292292292292292292292292292292292292292293293293293293293293293293293293293293293293292292292292292292292292292292292292291291291291291291291290290290291291291291290290289290290290290290290290290290290289289290289289289289290290289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288289289289288289289289289289288288288288288288287287287286286286286285285285286285285285285285285285285286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281279275278999999999278275275276276278280280280280279279278277276276276276276275275274274274276276276276276277278277277277278278279278278278279280279281282282283284284285286287287287288287288289289289288288287999999999284284287289290290293291289290291292292293293293293294294293293293293292293293294293293295293293293293293293293294294293294294294294294293293293292293293293293292293292293292292292292292291291292291292292292293293293293294294294293293293293292292291291291290290290290289289289289289289289289290290289289289290291290290290290290289290290290289289289288289289289290290290290289289289288288288289289288287287286285285285285285284284284283284284284284283284283283283283283283283284284285285284284284284284284285285285286287286286286286287288288287288288287288287288287287287287288288288288287287287287286286287287288287288288288288288288289289288288288288289289289289289289289290290290290290291291291291290290290290290290290289289289289289289290289290290290290290290291291291291291291291291291291291291292293293294293293294292295296293294293294293293293294293293291292293292292292293293293294293293293294294293293293294294294294293294293295296296295295295295296296293293294294296293294293293293293293294294294295295296294294294294293293294293294294295294294294294294293294294293294295293294294294293293293293294294293293294293293294295293294293294293294293294294293292293292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292293293293293293293293293293293293293294293293293293293293293292292292292292292292292291291291291291291290291291291291291291290290290290290290290290290290290290290290289289290289289289290290290290289289289289289290289289289289289289289289289289288288288288288288288288288288288288288288289289289289289289289289289289288288288288288287287287286286286286286285285286285285285285285285285285285285285285285284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281279276999271278273274276276278279281281281280280280280279278278277277277276275275276275277277277276277278278278281281280281278278279280280279281282282282282283284283287287286287288288289290290290290289290290290999999283286289290291291290290290291291291292293292292292292293294293293293292293293293294293293293293293292293293293293294294294294294294294294293293293293293293293292292293293293292292292292292292292292292293292293293293293294294294294293293293292292292291291290290290289289289289289288289289290290291290290290290291291291290291290290290290290290290289289289289289290290290290289290289288289288289288288287287286286285285286285285284284284284284284284284284284283284283283283283283284284284284285284284284284285285285286287286285286286286287287288288288288288288288287287288288288288288288287287287287287287287287288288288288288289288289289289289289289288289288289289289289289289289290289290290290290290290290290290290290290289289289289289289289289290290290290290291291291291291291291291291292292291292293293294294293292294294294294294294293293294293293292293294293293293292292294293292294294295295294295293295296293292294296296295296293294294295294295295295293294294295294295295295294293293293294294294295293294294295294294293293292294293294293294294294294294294294295294294294294294293293293292294295293292292293293294294294294294294293294294294294294294293294294293293292293293293293294294294294293293293293294293294293293293293293293293293293293293293293293293293293293293293293293293293293293293294293293293293293293293292292292292292292292292292292293292293293293293293293293293293293293293293293293294293293293293293293293293293292292292292292291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289288288288288288288288288288288288288288288288288288288289288289289289289288288289288288288287287287286286286286285286286285285285285286285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282999999286284284281278277278277277279277277279280281281282281281282281281281280279278278277277275276278277277276278279279279280280280280280284280282284281281281282284285283283284285285287287287288289289288289289290290290291290290999999283289291292292290288290290290290291291292292292292293293293294294293293294293294293293293293293293293293293293293294294294294294295294294294293293293293293293293292292292293293292292292292292292292292292293292293294293294294294294293292293292293292291291290290290289289289289289289289289290290291291291291290291292291291291290290290290290290290290289290289289290290290290290289289289288288288288288287287286286286285286286286285285285285285284285285284284284284283283283283283284283284283284283283283284284284285285286286286286286286287287288288288288288288288288288288288288288287287287286286286287287287287288288288288289289289289290289289289289289289289289288288289289289289289289290289289290290290290290290290290289289289289289289289289289289290290290290290291291291291291291291292292292292292293293294294293292294294294294294293294294294293293293293292294292291292293293293295294293294295293294295295295294294295295295295295294294295295296296295292295295295295295294294294294294292293294294294295294294294293294294294293294295293293295294293294294292294292294294294294293294293293293293294294294293294293293292294294294294294293294294294293293293294294294294295294293293293294294294294294294293293293293293293293293293293294294293294294293293293293293293293293293293293293294293293293293293293293293293293293293292292292292292292292292292292293293292293293293293293293293293293293293293294293293293293293293293293293293293293292292291292291291291291291291291291292292292291291291290290290290290290290290290290290290290290290290290290290290290290290290291291291290290290290290290290290289289289289289289288288288288288288288288288288288288288288288288288288289289288288288288288288288288287287287287286286286286285285285285285285286285286285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281280999281283282278279278280281281280280280281282282281282282282282281281280280278279278277277277279278277278277278279280280280280279280279281281283282282282282283283285284284285286287288286287288288289289290290290290290289289289999999282289292292293291289289291290290291291292292292293293293293294294293293294293294292292292293293293293293293293294294294295295295295294294294293293292293293292293293292293293292292292292292292292292292293293293293294294294294294293293293294293293292292291291290290289289289289289289289290290291291291291291292292292291291291291291291291290290291290290290290290290290290290290289289289288288288288288287287287287286286286286286286286286285285285285285285285284284284283283283283283283283283283282282283283284284285285286285285286286286286287287288288288288289288288288288288287287287287286287287287287287287288288288288288289288289289289289289289289289289289289289289289289289289289289289289289289289289289289290290289289289289289289289289289289290290290290290290290291291291291291291292292291292292293293293293293293294294294294294294293294293293292291294293293292293292292293294295295293293293293293294296295293293294293294294295294294293295293295295293295295295294294293294294293293293293294294294293294293294295294295294294295295294294295294294294294294293293293294294293293294293294293293294294295295295295294293294294293293294293292293293294294294294294295294295295294293293294294294294294294293293293293293293293293293293294293294294294294293293293293293294294294293293294294294294293293294294293293293293293293292292292292292292292292292293293293293293293293293293293293293293293293293294294294294293293294294293293293292292292292292292291292291291291291291291292292292292291291290290290290291290290290290290290290290290290290290290290290290290290291291291291291290290290290290290289289289289289289289288288288288287287287288288288288288288288288288288288288289288288288288288288288288288287287286287286286286286286285285285285285285285285285285285285285284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281281283282281280282282280282283282281281281282283283283282282281282281281281280280278278279279280279278279279279279279280280281281282282282282283282282281283283284285285286286287287287288287288289290290291291290291291290289289286292286290291293293293291289290290290291291291291291292292292293293293293293294293293292293293294294293294293294294294294295295295295295294294294294293293293293293293293293293293293293292292293292292292293293293292293294293294293293293292293294294292292292291291290289289289288288289290290291290290291292292291291292292292292292291291291290291291291291290291290290290290290290289289289289288288289288288288287287287287286286286286286287286286285285286286285284285284284284284284283283283282282282282282282283284284285285286286285285285286286287287287287287288288288288287287287287287287287286287287287287287288288288288288288288288288288289289289289290290289289289289289288289288289289289289289289289289289290289289290289290289289289289289290290290290290289289290290291291291291291291291292292291292292292294294294294294294294294294294293293294293293293294293292294294292293294294293295294294293293294295296296296295294295296294295295293295294294294295296295294295295295294293293293294293295294293293294293295295294294295294295295295294295296295295295295294294294294294294293294293294294293295294294293295295294293294293295294294295295293294293292294293294292292293293292295294294293294294294294294294294293293293293293293293293294294294294294294294294293293293294294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293294294294293294294294293294293293294294294294294294294293293294293293292292292292292292292292292291291291291291291292291291291291291291290291291291291290290290290290290290290290290291290291291291291291291291291291291291290290290290290290290289289289289289288288288288287287288288288288288288288288288288288288288288288288288288288288287287287287286287286286286286286285285285285285285285284285285285285285284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285282282281283282281282281282282282282283282283283283282283282282281282282281281281282281280277279281280281280279280280280281281281281283285282282283281282285284283284285285286286287287287288288288289290290291289290290290290290290290290289289289290291291291291291291291291290290290290290291291291292292293293293293294293293292293293293293293294294294294294294295295295295295294294293294293293293293293293293293293293293293293292292292292292293292293293292293293293293293293293293293294293292292291291291290289289289289289290290291291291292291292291291291292292292292291291291291291291291290291291290290290290290290289289289288288288288289288288288287287287287286287287287287287287286286286286286285285284284284284284284283283282282282282282282283284284285285285285286286286286286286286286286287287287287287287287287286287287287286287287287287288288288288288287287287287287288288288288288289289290290289290289289289289289289289289289289289289289290290290290289290290289289289289289289289289289289290290290291291291291291291292292292292292292292293293294294294294294294294293293295294294295294294294294294294294294295293294295294295294294293294295296295295295295295294296295294293295293294295294295294295295296295294293292294292294294293293293295295295294294294294294295295296295295295296296295294294294295294295294294294295294294294294295295295294294294294295293294293293294294294293294294295294293293294294294293294294294294294294294294294294293293293293293293293294294294294294294294294294293294294294294294294294294294294294294294294294294294293293293293293293293293293293293293293294293293294294294294294294294294294294293293294294294294294294294294294293293293292292292292292292292291292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290289289289289288288288288288288288288287288288288288288288288288288288288288288288288288288288288288287287286286286286286286286286285285285285286286285285285285285285284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284999999283284999999285287284282282283284283282282281283283282283283284283282282283282283283282283282282281282280280281281280279279281280281279281280281282283282283283284284283282282282282283283283284285286287287287288288288289289289289290291290291290290290289289290291292291291291290290291291290290290290290290290290290290290291292293293293293293294294293294294293294293294294294294294295295295295295295295294294294294293293293294293294293293293293293293293293292292292292292293293293293293294293293293293293293293293293293292291291291290290289289289289290291291291291291291291291291291292291292292292291291291291291291291290291291290290290290290289289290288287288288288288288288288287287287287287288288287287287287286286286286286285285285285284285284283283282282282283282282283283284284285285286285286286286286286286286286286286286286286286286286286287287287287287288288288288288288287288287287287287287287287288287288289289289290290289290289289289288289289289289289289289290290290290290289289289289289289289289289289289289290290290290291291291291291291291292292292292292293293294294294295294295294295295294295294294295294294294295294294295294293295294295294294294294293293293294295294295294294294295294294295295294296295293295295294295295295294295292293293294294294292293293294294294294294294294294295296296295296296295296295294294294295294295295295295294294294294294294294294295295295295295293293294294294294294294293294295295294294295294294294294294294294294294294294293293293293293293293293294294294294294294294294294293294294294294293293293294294294294294294294294293294293293293293293293293293293293293293294294294294294294295294294294294294294294293294294294294294294294294294294293293293293293293292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290289289289289288288288288288288288288288288288288288288288289288288288288288288288288288288288288287287286286286286286286286285285285285285285285285285285284285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999291290999292999999999999999999290999999999999999999999999999999999999999999999999999999999999999286285286283284285285285285284999283283284283283282282284282282284285283283282282282283284283283281282283281281280280281281280281281281280280282281281281282284283283283286284283283285284284283284283286286286287287286286288289289289290290290290290291290290290290289290291290292292291290291290290290290289289290289291289289290291291291291293293293293294294294294293294294294294294295295294295294294294294294294294294294294294294293294294293293293293293293293293292292293292293292293293292293294293294294294294294293294293293293292291291290291290290290289290290291291291292292292292292292292291292292292292291291292292292291291291291291290290290290290289289288288287288288288288288289288288288287288288288288288288287287286286286286286286285285285285285284283282283282282282283283283283283284285285285285286286287286286286286286286286287287286286286287286286287288288288288288288287287287287287287287286287287287287288288288289288288289290290290290290290289289289289289289289290290290290290290289289289289289289289289289289289289290290290291291291291291291291292292292291292293293294294294294294294295295294295295296295292295296295293294295295296293293294296294294294295294295295295294295294294293295295295294296295295295293294293293294293293293293292293294294293294293294294294293294294293293295293294295295296295295295295295295294294295294295295296295295295295294295294293293293294294294295295294293293293294294293293293293295294294294294294295294294295295295294294294294294293293293293293293293293293293294294294294294294294294294294294294294294294294294294294294294294294294294294293293293294294294293293294294294294294294294294294294294295294294294294294294294294294294294294294294294294293293293293293293292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291292292291291291291291291291292291292291291291291290290290290289289289288288288288288288288288288288288288289289289288288288288288288288288288288288288287287286286286286286286286286285285285286285285285285285284285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291295293293295294290289292288287999999999999290999999999999999999999999999999999999999999999999999999999285284284284283283283284285283282283283283283284284284285285286283285286285285284283282282283282281281284282282281280280281281281282282282281280281281281283284284283284285283284284284284284283284284285285285286288287287288288288288288289289289289290291290291289289290292292294294291290290290290290290289289289290290290289290290290291292292292292293293293294293294294294295294294294294294294294294294294294294294294293293294293293293293293293293293293293293293293293292293292292292293293293293293293294294294294294293293293293292291291291291291290290290290290290290291292292292292293293293292292291291291291291291291292292291291291291290290290289289289289289289288288288288288288288288288288287287288288288288288288288287286286285286286286286286285285285284284283282282283283283283283283283284284285285286286286286287286286286286286287286287287286287287287287287288287288288287287287286286287287287287286287287287287287288288289289288289290290290290290290290290289289289290290289289290290290290290290289289289289289288288289289289290290290291291291291291291291292292292292293293293293294294294294294294294293294294295295295295295295295294296296294296295294295295295295294294294295297296295295294293293294295294295296296295295294292293295294294294294292293294293292293292293293293294294294293294294294292295294294295294295294294294294294294293294295294295296295296295294294293294293293293294295295295294293294294295294294294294294294294295294293294294294294294294294294294294293293293293293293293293293293294294294294294294294294294294294294294294294294294294294294294294294294294294293293293294294294294294294294294294294294294294294294295295294294294294294294294294294294294294294294294294293293293293293293293292292292292291291291291291291291291291291291291291291291291291291291291291291291291291292292292292291291291291292291292292292291292292292291292291291292291291291291290290290290289289289288288289288288288288288288289289289289289289289289288288288288288288288288288288287287286286286286286286286286286285286286285286285285285286286285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289289290290292294292293291291290289999999293291289290293291999999999999999999999999999999999285285286282284284285285284284284285284284284284284284284283284285284285284286285284285285286285284285284284283282281281282282282281281280280279279282282280280280281282282282283284284283284284284285284285284285286286284287287286286288287287288288288288289288290291290291290291290290292293292293293290290290290290290289288289289289289291289290290290291291292293293292292292292293294295294294294295294294294294294294294293294294294293293294294294293293293293294293293293293293293293293292292292293293293292294293293294294294294293293293293293293292292292291291291291291290290290291291291292292291291292292291292291291291291291291291291291291291291291291290290290290290289288289289288288288288288288288288288288288287288288288288288288288287287287286286286286286285285286285285283283282282282282283283283283283283284284285285285286286286285286286286286287286287287287287287287287287288287288287287287286286287286286286286286286287287287287287288288289288288289289290290289290290290290290290290289289289290290290290290290289289289289288288288288289289290290290290291291291291291291292292292292292293293293294294294294295294295295294294294294295294293294295295296295294294294295295294293294296295295295293295294294294293293293294295296295296295295295292294295293294293293294294294294293293293293293294293294293292293294294294294294294295295294294294294294293294293294294295295295296295295295294293294293293294294294294293294293293294294294294294294294293294293293294294293294294294294294294294294293293293293293293293293293294294294294294294294294294294294294294294294294294294294294294294294294294294293294294294294294294294294294294294294295295295295295295295295295295294294294294294294294294294294294294294294293293293293293293293292292291291291291291291291291291291291291291290291291291291291291292291291291292292292292292292292291292291292291291292292292292292292292292292292292292292291291291291291290290290290289289289289289289289288289289289289289289289289289289288288288288288288288288288287287287287286286286286286286286286286286286286286286286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290288287289288289291290293290290290290290289290292291291291291291999999999999999999999999287289286284283284283284284283284283284284285285285285285284285285285286285284285285286285285285284285285284285283283283283282280284282282281282281279279280282281281280280281282282282284284285282285283285285286286285285286285289288287288288288287287287288289289289290291292291291291291292291291292292293293291291290290290289289289289288288289290289289290290291290292292293292292292292293293293293294294295294294294294294294294294294293294294293294294293293293293293293293293293293294293293292293293293294293293294293294294294294294294294293293293293293293292292291291291292291291291291291291292292292292292292293292293292292291291291291291291291292291292291291290290290290290289289288289289288288288288288288288288288288288288288289288288288288288287287287287286286285285285285285285284283282283282282282283282283283284284284284284285286286286286287286287287287286287287287287287287287288287288287287287287287286287286286287287286286287287287287287288288288287288288289289289289289289289290290290290290290289290290290290290290290289289288288288288289289290289290290290290291291291291292292292292292292293293293294294294295294295294295295295296294296295294295293294294296294295294295295293295295295296295295296295294295294295294293295296295295294294295294295295292292293294293293294295294294294293293294294292294294293293293293294293294294294294295294292293294294294293295294294294294295295295295294294293293293294294294295295294293294293294293293294294293293293293293294294293294294294294294294294294294294293293293293293293293293294294294294294294295295295295295295295294294294294294294294294294294294294294294294294294294294294294295295295295295295295295295295295295295295294294294294294294294294294294294294293293293293293293292292292291291291291291291291291291291291291291291291291291291291291291291292292292292292292292292292292292292292292292292292291292292292292292292292292292292292292292291292291291290290290290290290290290290289289289289289289289289290289289289289289288288287288288288288288287287287287287286286286286286286285285286286286286286286286286285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288290289288288289289289289289289288289289291291291291292293292291292999999999999999999999999291289288285283285284284283283284284284285285285285284285285285285285286285284284285284285285285284284284286286284284284284282281284284283283281282281280278280281281280281282281282282282283284284285285287286287286286287287287286288288287288288289288288287288288289290291292292291291291292291292293293292291291291291290289289289289288288287287289290290289290291291292292289292292292292293293294293294294295295294294294294294295294294294294294294294294294294294294294293293293294293294294293293293293293294294293293293294294294294294294294294294294294293293293292292292292291292291291291292292292292293293293294292292292292292292291291291291291292291292292292291290291291290289289289289289289288288288288288288288289289289289289289289289289288289288288288288288287287287286286286286285285285284283283283282283283283283283283284284284284284285285285286286287287287287287287288287287288287287287287288288288287287286286286286286286286286287286286287287287287288287287288288288288289289289289289290290290290290290290290290290290290290289289289288288288288289289289290290290290291291291291291291292292292292292293293293294294294294295293294294294295295295295295295295294295294295294294295295295295295295296296295294294295295295294294294294294296296295294294295294293293293293294293291295294293293294293293294292293295295295295294294295295294295293294294294294293294294293293293293293293294293294295294294294295293294294294295294295295295294294294293293293294294294294294293293293293293294294294294294294294295294294293293293293293293293293294294294294294294294295295295295295295295295294294294294294294294294294294295294295295295294295295295294294295295295295295295295295295295295295295295295295295294294294295294294294294293293293293292292292291291291291291291291291291291291291290290291291291291292292292292292292292292292292292292292292292292292292291291292292291292292292292292292292292292292292292292292291291291291291290290290290290290290290290290290290290290290289289289289289289288288288288288287288288287287287287287287287286286286286286286286286286286286286286285285285285284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289292288288289289289290290290289289289289289290291291292293292290999999999999999999999286999290290286285284284284283283284284284285285286285284284285284285285285286285285284285284284285287284285285285285284285285283281284282282282282283283282279280280280280281282283283283281282283285285286288289287288288288287287287288286287286288289288288289287289289289290291291292292292292292292290292293292292292291291290290290290290289288287285290291289290290291292291290292292292291292292292293293294295295294295294294294294294294294294294294294294294294294294294294294294293293294294294294293293293294294294294293294295295294294294294294294294294294293293293292292292292292292292293291292292292292294293293293293293293292292292292292293292292292292292293292292292292291291291290289289289289289289289289289289289289289289289289289289289288289288288288288288288288287288288287286286286286285284283282283282283283283283283283283283283283284284284285285286286286287287287288288288288288287287287288288287287287287286286286286286287286286286286286287287287287287287287287288287288288288289289289289290290290290291291290290290290290290289289289288288288288289289289290290290291291291291291291291291292292292292292293293293294294293295294295294293294294296294295295295295295295296295295295294294293295295295293295295294295295294293295294294294295295295294293293295295294294293293293293294294292294293293294294292294295295295295296294294294296296295294294294293295294294293293294294292293293293294294292294295295292293293293294294294295295294293293293293293293293293293294294293293293294294294294294294294294294294294294294293293293293293293294294294294295294295295295295295295295295295295295295295295295295295295294295295295295295295295295295295295295295295295295295295296295295296295295295295295295295295295295295295294294294293293293292292292291291291291291291291291291291291291291291291291292292292292292293293293293293293293293292292292291292292292291292292291292292292292292292292292292292292292292292292292291291291291291291290290290290290290290290290290290290290290290289289289289289288288288288288288287288287287287286286286286286286285286286286285285285286285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289286286287288289290291290289289288289289289289289292293292291289999999999999999999999999285286286286285285285283283283284285285285285285285284284285285285284284286285284285284285283284285285285286285285284285285285285283282284283283284284283284280280281283281281284283283282282284285286286287288287287287287287287288287288288288288288288289289288289290289290291291291292292293292293292293292292293293292291291288290290290290289286287291291290291291292292292292290293291292293292292294294294296295295295295294294294294295294294294295295294294294294294294294294294293294294294294294294293294294294294294294294295295295295294294294294294294293293293293292293292293292293292292292292292292293294293293292292292292292292292292293292292293292293292292292292292292291291291289289289289289289289290289289289289289289289289289290289289289288288289289289289288288288288288288287286286286285284283283283283283283283283283283282282282283283283284284285285285286286287286287287288287287287287288288288288288287287287286287287287286286286286286286287287287287287287287288288287288288288288288289289290290290291291291291290290290290290289289289288288288288289289290290290291291291291291291291291292292292292292292293293293293292294295294294293295294294295294294295295295295295295294294294295294295294294294294294294295295294293294295294292293294294294294293294293293294294294294295293294294292293294293292293293293292293293293293293294294295295295294294294293294294293293294293294293292293293293294292294295295292293293293293294293293294293292292293292292293293293293293293293293293293294294294294294295294294294294294294293293294294294294294294294295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295296296296296296296296296296296296296295295295295295295295294294293293293292292292292291291291291291291291291291291291291291291292292292292292293293293293293293293293293293292292292292291292292292292291292292292292293292292293292292292292292292292292292291291291291291291290290290290290290290290290290290290290290290289289289289289289288288287287288288287287286286286286286286286286286286286286286286285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999291289289289287287288288288289289288288288288289289289288289290289291290288999999999999999291288287287286286285284284283283282282283283283283283284284284285285285285286285286285284284285284285285286286285285284284285284286285283283285285284285285284283284283281282283285283283284284283285284284286288288288289288287288288288288288288288287289288288289289289289289290290291291292293292292293293293293293293293293293292290291291291288290289286289292293291291291292291291292292292292292293293293294294294294294295295295295294294294294294294294295295295295294295294294294294294294294294294294294294294294294294294294294294295295295294294294295295294294294294294293293293292292293293292292291292292292293293293293292293293293292293293293293292292293292293292293292292292291291291290289289289290290290290290290290290290290289290289289289289289289289289289289289288289288288288288288288287286286286285284283283283283283283283283283283283282282283283283284284284285285286286286286287287287287287287288288288288287287287287286286287287286286286287286286286287287287287287288288288288288288288288288288289289289290291291291291291291290290290289289288289289289289289289289290290291291291291291291291291292292292292292292293293293293294293294293293294295295295295294294296294295295295295294295295295295295294293293296294295295295293293294294294294293293292293293293292294294294295294294294293292292292293294293293293293294294293293293294294294294294294293293294294293294294293293292294293293292293293293294293294294295296293293293294294294295294293292293292292291291291292292292292293293293293293294294295294295295294294294294294294293294294294295294294294295295295295295295295295295295295295295295295295295295295295295295295295295295295296295295295295295295295295295295296296296296296296296296296296296296296295295295295295295294294293293293292292292292291291291291291291291291291291291292291291292292292292292293293293293293293293293293292292292292292291291292292291291292292292292292292292292292292292292291291292291291291291291290291290290290290290290290290290291291291291291290290290290290290290289289289288287288287287287286286286286286286286286286286286286286286286286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291290292292290287287287288288289289289288288287288287289288288288289289290292291290999999999999999291288286285283284283283281282282282282282282284283283284284286285286285284286286285284285285285284285284284284283286285285286286286286285286286285285286285284284284284284285284285285285285285285283283285288288287288289289287287288288288288288288288288290289289290290290290290290292292292293293292292293293292293293293293294291292292291290290289289285288292291291291291292292292292292292293292292293293293294294294294294295294294294295294295295295294294294295294295295294294294294294294294294295294294295294294294294294293294294295295295295295295295295295295294294294294293293293293293293292292292293292293293293293293292293293293292292293293293292293293293293292293292292292292291291289289289291290291290291290290290290290290290289290290290290289289289289290290289289289288288288288289288288286286286285284283283283283283283283283283283283282283283283284284284284284284285285285285286286286286287287287287287287286286287286286287286286286287287286286287287287287288287288288288288288288288288288288288289289289290290291291292291290290290290289289289289289288289289289290290290291291291291291291291291291292292292292292292293293294293294293294294295294294294295295295295295295295295295295295295295295295294295294294293293293294293293292293294294294295295293293295292293293293294293293293292290292294293292293292294294294294295294293293294294294293294293293294293294294293293294293293292293293293294294293292294294295295294294294295294295295294294293293293293292292292293293292293293293293293293294294294294294294294294294294294294294294294294294294294295295295295295295295295295295295295295295295295295295295295295295295296296296295295295295295295296295295295295295296296296296296296296296296295296296296296296295295295295294294294294293292292292292292291291291291291291291291290290291291291292291292292292292292293293293293293292292292292292292292292291292292291291291292292292292292292292292292292292291291291291291291291291291290290290290290290290290290290291291291291291291291291291290290290290290290289288288288287287287287287286286286286286286286286286287286286286286286286286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293291292290289289286286286287288289289288289290290289288287287286289288290291292293292292999999999999999999288285284284282282283283283282282283284285283286284287285288286286285287287286284286285285286285286284284285286286286287285286286286285284284284283285282285284284285285283286286287286285284284289287287288289288289289288287287288288289288288288288289289290289290290290292292291291291290292292292293293292292293293293294293293292291291290290288287288291292292291291291291292292292293292293292293293294294294295295294294295295294295295295295295295294294295294294295295295295294294295295294294294294294294294293294294294294294294295295294295295295295296296295295294294294294294293292293292292292292293292292293292291292293293292293293292292293293292293293293293292292292292292291291290289290291290291291291291290291290290290290290290291291291290290290290290290290290289289289289289289289288287286285285285284283283283283283283283283283283283283283283283284284284284284284284284284285285285285286286286286285285284285285286286286286286286287286286286287287288288288288288288288288288288288288288289288289289290290290290291291291291290290290289289289289289289289290289290290290291291291291291291291291291291292292292292292293294294295295295294294293294294296295295295296295296296295295294294295295296295295295295295296295295294293293294295295294295293292294294294293293293293292292292292292293292293294293293293293293294292294294294294294293293293293294293294294294293294293293293293293293293292293293293292294295295295295294295295295294294294294293294293293292292293293293293292293294294294293293294294294294294294294294294294294294294294294295295295295295295295295295295295295295295295295295295295295295295295295295296295295295295295295295296295295295295295295295295295295295296296296295295295295295295295295295295295294294294294294293293292292292292291291291291291291291291291291291291291292292292292292293293293293293293292292292292292292292292292292291292292291291292292292292292292292292292292292291291292291291291291291291291291290290290290290290290290291291291291291291291291291291291291290290290290289288288288287287287287287287286287286287287287287287287287287287287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290294292291290289288287288287288288288288289291291291289287288287286288289290292293293292287999999999999999285288285283283281281282284284283282285284285284285286287287287286286286285286286285285286285286286286285285285285285287286287286285283283285283283283285284286285285285285285285285285286285285286289286287288287288288289288288288289289289288289289290290290288289289289290290291291291292292292292292293292292292293293293293294294292291291290290289287290291292293292292292291292292293293294294292293293294294295295295295295294295295295295295295295294294294294294294294295295295295295295295295295295295295294294293294294295294294294295294295296295296296297296296296296296295295295294293292293293293292293293293293293293292293293293293293293293292293293292293293293292292292291291291290291291292291290291291291291291291291292291290291292291290291290291290291290290291290290290290290289289289288288287286286286284283283283283284283284284283283283283283284284284284284284284284284284284285284284284285285285285284284283285285286286287287286287286286286287287288288288288289289288288288288288288288288289289289289289289290290291291291291290290290289289289289289289289289290290290290291290290291291291291291291291292292292292292293294293294295294295295295294295295296295295295294295295295296295294294294294294294294294295294295296294294294294296295294296296293294295295293291292292294293293293293292293293293293292293292293292293293293293294294294294293294293295294293293293293295294293294293293293293293293292293294294295295294295294294294294293293293292293293292292293293293293292292293292293293293293293293294294294294294293293294294294294294294294294294294294294294294294294294295294294294294295295295295295295295295295295295295295295295295295296295295295295295295295295296295296296296296296296295296296295295295296295295295295294295294294294293293293292292292292292291291291291291291291291292292292293293293293293293293293292292292292292292292292292292292291292292292292292292292292292292292292292291291291291292291291291291291291291291291290290290290290290290291291292292292291292291291291291291291291291291290289288288288287287287287287287287287286287287287287287287287288287287287287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290292291291288288288287289289289288288290291291290287287286287287286287289290292293293293289999999999999999999999282280280279280281283283283283284284286285286286286286286286287287287287285286284284284285286287285286286286287286286286285285285283284285282283284286287286285285286285285284285285285285286286287288289289289288289289288289290290290289289289288289290289290289288289290291291291291291292292292292292290291293292295294294294294293291291289290288289289291292292291291291291291293294294293293293293294294295295295295294294295294294293294295295294294294294294294294295294295295295295295295294294294294294293293294294295294294294295294294295296296296297296296296296295295294294293292292292292292293293293293292292293293293293293293293293293292292293293292293292292292292291292291291292292292292291290292291292292292292292292292292292291291291290291291290290290291290290291290290290289289288288287287287286285284283283283284284284283284284284284284284284284284283284284284284284284284284285284284285285285284284284285286286287287286286287286287287287288288289289288289288288289288288288288288288289289289289289289290289290291291291290290289289289289289290290290290290290290290290290291291291291291291291292292292293293293293293293293294294294295295296295296296296295296296295295295295295295295295294294294293295294293293294294295294295294295295294295294294293295293292294293292292293294293293293293292294293293291292292293293293293293293293293293293294294294294294294294293292292293294293293293292293293293294294294294295294295295292294293293293293293293293292293292292292291292292293293293292292293293293293294293293293293293294294294294294294294294294294294294294294294294294294294294294294294294295295295295296295295295295295295295295295295295295295295295295296295295296296296296296296296296296296296296296296296295295295295295295295294294293293293292292292292292291291291291291291292292292292293293293293293293293293292292292292292292292292291291292292292292292292292293293293293293292292292292292291292292291291291291291291291291290290290290290290290291291291291292291292291291291291291291291291290291290289288287287287287287287287287287286286286287287287288288288288288287288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290290290287287288288289288289290290288289291289287287286286287286286288291292292293292292291290288999999999999999280278278278279282282285283283285285287287286286285286286288287287286286287286284284285286287288286285285286286287286285285285285284284285284285286287286285285285286285285285285285287287287288288289288288288287288288288289290290288289289288288287289288289288288288290291291290291292292293292292292291291293293294294294294294294293291292291287285291293293293292292292292293293293293293294293294294294295295296296294295294294294293294295294294294294294294294294294295295295295295295295295294294294294293293294293294294295294295295295296296295296296296296296295295295293293292293292293292293293293293292292291293292292293293293292292292291292292292292292292292292291291291291291291292291291291290291292292293292291291292292291290291291291290290291290290290290290290290290290290290289288288287287287286285284283282282283284284284283283283284284283283284284284284284284285284284284285285284284284285285284284284286286286286286286286286286287288287288288289288288289288288288288288287287287287288288288289288288289289290290291291290289290289289289289289289289289289290290290290290290290290291291291291291292292292292292292292293293293293295295295295295296295295295296296294294294295294294295294294293294295294294295293294295295295294294294294293292293292293293293292293293291292292293293293293293292292291292292293293293292293293292293293293294294294295296295292293293293293293292293294294294293293293294294293294295295294294294294295295294294294293293293292293292292292292291292292293293293293293293294294293293293293293294294294293294294294294294294294294294294294294294294294294294294294295295295295295295295296295295295295295295295295295295295295295295296296296296296295295295295296296296296296296296296296296295295295295295295295295294294293293293293293293292292292292292292292292292293293293293293293293293293293293292292292292292292292291291291292292292292292292293293293293293293292293292291291291291291291291291291291291291291290290290290290290290291291292291291291291291291291291291291290290290290290289288288288287287287287287287287287287287287288288288288289288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291289289289287287290290290290289289288288289289288288288287289286288290290291293291290291289289999999999999999281280276275276277281283283284283284285287284285285285286286286287288287287286286285286286286286286286286286286285285284286286284284285285285286285286286287286285286286288286286287286287288287289288288288288289288289289288289290289289288288288288290289287289290289289290291291292293293292293293292292291290291294293293294293295295293293290291295292292293293293292292292292293293293293293293294295295295295295296296294294295294294294294295294294294294294293294294295295295295296296295295295294294294294294294294294293294295295295297296297296296296296297296295295295295295295292293293293292293293292291292292292292293292292292293292291291292291292292292292292292292291291290291292292292292292292292291292292292292292292293292291291291291291291290291290291291291290290290290290290289289288288288287286286286285283283283283284284284283283284284283283283284284284284285285285285284284285285285285285285285284284285286286286286285286286286287287287288288288288288288287287287287287287287287287287288288288288288288288289289290291291290289289289289289289289289289289289289289290290290290290290290291291291291291292292292292292292292294293293294295295293294295295295295295295294294294293294295295294294294293293294294294292293295295294294294294292292292294292293294292293293292292293293292292293293293293293293292291293293292292292293292293294295294293293293294295293293293293293294293292294293294293293294293293293294294294294293293293294295295294294293292291292293293292291291292293293293293293292292293293293294293293293294294294294294294294294294294294294294294294294294294294294294294295295294295295295295295295296296295295295296295295295295295295295296295296296296295296296295295296296296296297297297297296297296296296296296295295295295295294294294293293293293293292292292292292293292293292292293293293293292292293293293292292292292292292292291291292292291292292292292292293293293293293293292292292292291292291291291290291291291291291290290291290290290291291292292292292291291291291291291291291290291290291291290288288288288288287287287287287287288288288288288289289289289289289288289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289285288289289287287288288289289289289289289289289289289291291287288289292293292291291290289289289290289290999286281278277274273274280282282280281281283285286284284285284285285285287288289287286285285285285285285285286285285285285284284286284284286286284284282285284285286286286286286286287286286287286288288290289289288287288289289289289289289289288287288289288289288289289290289289290292291291293292292293293293292291292290293295294295295295295295294293293291290294293293293292292293293294294293294293294294295296295295296296296295294295295295295295295295294295294294294295295295296296296296296296295295294294294294294294294294294295295296296297296296296296296296296295295295295294295294294294293292292293292292291292292292292293292292292292291291291291292292291293292292292292292292292292292292292291291292291293292292292292292292292292292291292292292291291290290291291291290290290290290290290290289288287288287286286285285284282283283284284284284283284284284284284284284284284285285285285284285286286285286286285285285285286286286286286286287287288288288288288288287287287287287287287287287287286286286287287287287287287288288289290291291290290289289289289289289289289289289290290290290290290290290290290291291291291291292292292292292293292294293294293294294294294295295295295295295295294295294295294293294294294293294295294295294294294294294292293294293292293293292291291292292294292292292291291291292293293293293292292292292292293293293292293293294294294293293294295294294293292293293293293293293293293293293293293293293292294294294294294294293293292293292291291292292292293293292292293293293292293293293293293294294294294294294294294294294294294294294294294294294294294294294294294294294294295295295295295295295295295295295295295296296295295295295295295295295295296295296296296296295295296296296296296296296296296296296296296296295295295295295295294294294294294294293293293292292292293293293292292293293293293292292292292292292292292292292292291292292292292292292292292292292292293293293293293293292293293292292292291291291291291291291291291291291290290291291291292293293292292292292292291291291291291291291291291291290289288288288288288288288288288288288288288288288289289289288289289289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289290289288289289289286288288288288287288288289289287289289289290288289291292292291293291290291290289288289289288290284282278275271276280282281280282283285286286286284283284284285286287286286286286286286285286286286285285286285285286287285285286284284284284283285285285284285286287286287287288286286286288288288289289288287288288289289288289289288288288289289289288288288288288288289290290290290290291292292292293293293291290289293294294294294295295296294294294292293294293292292292292293293294294294293294294294294294295295295296296296296295295296295295296295295295295295295295296296296296296296295295295295295295295295295295294295295295296297296296296296296296296296296295295295295294295294294294293293293293292292292292293293294293293292292292292291292292292292292293292292292292293292293292292293293293292292292292293292292293292292292292292292292291291291291291291291291290291290289289289290290290289289288288287286286285285284283283283283284284284284283284283284285284284284284284285284285286285286285286285285285285285285286287286286286287287288288287289288288288287287288287287287286287287286287287286287287287287287288288288289289290290290289289289289288288289289289289289289290290290290290290291290290291291291291291292292292292292292292293293293293293293294294294294294296295295294295294295293293294294294292293293294294294294292293293293293293293293293293293294291292293294293293293292292291291290292291292292293293292292293293293293293293294295295294293294294295295294294295294294294294293293294295293293292293293293293293294294293294294294293292292292292291292291291291291291292291292292293293293293293294294294294294293293293294293293294294294294294294294293294293294294294294293294294294294294294295294295295295295295295295295295295295295295295295295295295296296296296295295296296295296296296296296296296297297296296295295295295295295294295294294294294294294293294293293293293293293293293293293293293293293293292292293293292292292292292292292292292293292293293293293293292293293293293293293293293293293292292292291291291291291291291291291291291291291292292293293293293293293292292292292291291291291291291291291290289289288288288288288288288287288288288288288288288289289288289288289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290290291287288289288288288288288288287287288289288287288290288288289288287288291292292292292291290290286288288288290292283285285999274273277280280280283284284286286286285285285285286285285286286286286286286286285286285286285285285285285285284285286284286285284286284284286286287287288287287287287287288288288288289290289287287288288288289288288289289289288289289289288288287287288289289289289290289291291291292292292294293293293290291293294294295295295295295294294294293293293293292293292293293293293294294295294294294294295295295295294294296296295295295295295295295294294295295295295296295296296296295295295295296296296295295295295295296295297297296296296296296295295295296295296295295295294295293294293293292293292292291292292293293293292292292291292291291292291292292292292293293293292293293292292293293294293293293294293293293293293293293293292292292292291291290291291291291291291291290290289290290290290290289288287287286286286285284283283284284284284284284284284284284284284284284285285285285285285286286287286286286285285286286286287287287287287288288287289288287287287287288288287287286286287287287287286287287287287287288288288289291291291290290289289289288288289289289289289289290290290290290290291291291291291291291292291291292292292292292292292292292293293293293293294294294294294295294294294294295294294294294294293294294294294294294293293294294293294294294293293293293293293293293293293292292291292292292292292291292292292292292292293293292293294294293293293293293293293294294293293293293293293293293293293292293292293292293293293292293293293293293292293292292292292291291291291291291292292292293292292293293293294294294293293293293293293294294294294294294293294294293293293293293293294294293294294294294294294294294294295295294294294295294294295295295296295296296296296296296296296296296296296296297297296296297297296296296296296296296296295295295295295294294295294294294294294294294293293294293293293293293293293292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292291291291291291291291291291291291291291292293293293293293293292292292292292292292292291291291291291290290289289288288288288288288287288288288288288288288289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289291293290291289290290287287288287288288288287288289289289288288288287289289288288288291291290291292292999999999294999999999999999999999999999277276278280282284284285286285285285286285285285284286285284285285286286286287285285284285284286287285286286285285284287284285284287287287287287287287287286289289288289289288289288290288288288288288288289290290290289289290288289289288288288288289289289290290291290292291294293292294293292294293291295294294295295293293295294295294293292293293292292292293293294294293294295294294295296296294295295294293296296295295295296295295295294294295295295295295295296295295296296296296296296296296296296295295296296297297297296296295296295295296296296296295295295294294294293292293293291293292292292292292292292291292292291291291291292291292292291292292293293292293293292292293294293293293294294294294294294294293294293292292292291290290290290291290290290291291290290290290290290289289289288287287286286285286284283284284284285285285284284283284284284284284284284284285285285285286287287286286285285286286286286287287287288288288288288287288287288287287288287287287286286286287287286286286287287286287288288288289290291291290289289289289288288288289289289289289290290290290290290290290291291291291291291291291292291292292292292292292292292292292293292292293293293294294294294294294294294294294293293293294294293294293293293293293293293294294293293294293293293293292293292292291291291291292291291292291291291291291291292292292292292292293293293293293293293293293293293293293293293293293293293293293292292292293293293292292292293293293293292292291292292291291291291291292292292292292292292292293293294294294293293293293293293293294294294294294294294294294293293293293293293293294294294294294294295294294294294295295295295295295295295295295295296296296296296296296296296296297297296297297297296296297297297297296297296296296296296295295295295295295295295295295295295295294294294294294293293293293293293293293293293293294294293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292291291291291291291291291291292292293293293294293293293293292292292292292292292292292291291291290290289289288288288288288288288288288288288288288288289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292288288289290290290289289289289287290288289289289289287289290289289289289287288288289289290291290999999291999999999999999999999999999999999999999999999277279281283284285285285285285286285286285284284286285287286284286287286286285285285286284286286285285287287286288288285286288287287287286287286288289288289291289289289289289288289288288287288289289289290290290290290290289290289288288288289289290290292293291290292293293293294294294293292293294294294294295295296296297296296294294293293293293293292293294295294294295295295295296297297297297295295293294296295295296296295293294293294294295295295295296296296296297296296296296296295296296295296296295297297296296297296295296296296296296296296295295295295295294294294292293293292292291292292292292292292292292292291292292292291291291292292292293294293293294293293293293293293294293293294294294294294294293292291290291291290289290291290290289289290290290290290290290290289289289288288287287286286286285284284284284284284285284284284283284284284284284283284284284284285286286286286286286285286286286287287287287288288288289288288287287288287287287287287287286286286286286286286286286286286287288288289289290290290290289289288288288288288288289289289290289290290290290290290291291291291291291291291291292291291292292292292291292292292292293293292292292293293293293293293293294294294294293293293293293293293293293293293293293293294294293293293293292292292293293292293291291291293292292292291291291291291291291291292292291292292292293293293293293293293292293293293293293293293293293293293293292292293292292293293292292293293293293293292292291291292291291291292292292292292292292293293293294294294294294293293293293294294294293294294294294294294294294294294293293294293293294293294294294294294294294294294294295295295295295295295295296296296296296296296296296296297297297297297297297297297297296296296296296296296296296295295295295295295295295295295295295295295295295294294294294293293294294294294294294294294294294294293294294294294294294294294293294294293293293293293293293292293293292293292292292292292292291291292291291291291292292292293293293293293293293293292292292292292292292292292291291290290290290289289288288288288288288288288288288288288288288289289289289289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289289286289289289289288289290290290289289288290290291290289288288289288286286287289289290291290999999999999999999999999999999999999999999999999999999276281282283284286286286285285285285285286285285286286285285286287286285285285283283284285287286287288289290290289288286287287287288288287287287288289291289290289289289289289289289288287288288289289290290291291290289289289290290289288289290289290291292292291291292292294293290295294294294293293293294293295295295296296296295295295294293293293294293294295295295295295296296295296297296296297296297297297297296296297296295296295293294295296296296297297297297297297297297296296296296295296296296295296295296296297296296296297296297296296296296295295296295295294294293293293293292292292292293292292293292293292292291292292292291292292291292293293294293293294294294294293294294295294294294295295294294293293292291291291291290291291290290290289289290290290290290291290290289289289288288288287286286287286285285285285285285284285284284284284284284284284284284284285285286286286286286287287286286287286287288288287287287287289288288287287288287287287287286286286286286286286286286286286286286287288288289289289290290289289288288288288288287287288289289289289289290290290290290291291291291291291291291291291291291292292292292292292292292292293292292292292292292292292293293293293294294294294293293293292293293293294293293293294294294293293293293293293293293293293293292293292292293293292291291292292291292291291292292292291292292293293293293293293293293293293293293293293293293293293293293293293292293292293293293292293294293293292292292291291291291292292291292292292292292292293293293293293293294294294294294294293293294294293293293293294294294294294294293293293293293293293293293293293293294293294294294294294295295295295295295295296296296296296296296296296296297297297297297297297297297297296296296295296296295295295295295295295295296295296296296296296296296296295295295295294294294294294294294294294294295295295295294294295294294294294294294294294294294294293293293293292293293292292292292292292292291291292292292291291291291292292293293294293293293293293293292292292292292292292292292292291291291290290289289289288288288288288288288288288287288288288289289289289289289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291288286286289289289290290290289288289289287289291291290287287287287287287286287288289288289290999999999999999999999999999999999999999999999999999999278281283285284285286286285285283284286286286286287287286287287288287285284284285285286285287287286291290289289289289289288287289288288288288289289290291290292291289289289290288290288287288290291290290290292293292291290289289290290289289290290290291292293292292292292293292291293294294293294294292292292294295295295296296295295294294294293293294293294295295296296296296297296296296296297295296296298298298297296297296295296295296297296297297297297298297297298297297297296296296296296297296297297296297295296296296295296297297296296296296296296295297296295295295294293294293293292292292293293292293292293292291291292292292292292292292293293293293294294294294294294294294296296296295295295295294294293293293292292291291292290291291291290289290290290290290291291290290290290289288288288288288287287287287287286285285285285285285286284284285284284284284284284285286285285286286287287286286287288287288288289288288289289288287287287288287287288288287286287286286286286286287287287287287287287288288289289290290290289289289288288288288287288289289289289290290290290290291291291291291291291291291291291291291291292292292292292292292292292292292292292292292292292291292292292293293294294293293293293293293293293294294293294294294294293293294293293293293292292293292293293291292293293292291291291292292292292291291292292293292293293293293293293293293293293293293293293293293292293293292293293293292292293293293293293293292292293292292292292292291292291292292292292293292292293293292293293293293294294294294294293293294293293293293293293294294294294294293293293293292293293293293293293293293293294294294294294294295295295295296295296296295296296296296296296296296297297297296297297297297297297296296295295295295294294294295295295295295295295295296296296296296296296295295295295295295294294294295294294294295295295295295294294295295294295294294294294294294294294294293293293293293293293292293293292292292292292292292292291291291292292292293293293293293293293293293292292292292292292292292292292292291291291290290289289288288288288288288288288288289289289289289289289289290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289288287287289288288290291290290289290290291289289290290288289288287286286287285286287287287999999999999999999999999999999999999999999999999999999999280280282282286284286287285285285285284285287288286286286286287286285287286285286287287286286288287290292292291289288290288289289290289288288289290291291290289291291290290289290290290289288288290289289289291290293293290289289289290290290290290289290291291292292291292294292291294294293293293293293292292292291295295294295296297295292294294294295294295295296296296297297297296295295297296294295295298297297298298299297297297297297297297297297297296298298297297297296297297296296296296296297297297296296295295295296296296296296296296296296295296296296296295295295295294293293292294293293293293292293293292292292291292292292293292292292292292293293293294293294294295294295295295296295296296295295295294293293292291292291291292291291291290290289290290290290291291291291290291290289288288288288287287287288287287287286285286286285286286287286285285284284284284284286285285286286286286286286287287288288288289289289289289288287288287287288288287287287286286286286286286286286287286287287287287288288288289290290290289289289288288288288288288288288289289289290290290290290291290291291291291291291291291291291291291292292291292292292292292292292292292292292292291291291291292292292292293293293293293293293293293293293293293293294293293293294293293293293293293292293293293291292292293292292291291290290291291291291291291292292292292293293293293294293293293293293293293293293293293293293293293293293293293293293293293293292293292292293292292292292291292291291292292292292293293293292292293293294294294294294294294293293293293293293293293293293293294293293293292292292292292292292292293292293293293293294294294294294295295295295295295295296296296295296296296296296296296297297296297297297297297297296296295295294294294294294295295295295295295295296297297296296296296296296296296296295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294293293293293292292293293293292292292292292292292291292292292292293293294293293293293293293293293292293293292293293292292292291291291291291291290290289289289288288288288288289289289289289289289290289290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290290289288289289290291291291292291290291291291290290289291290288289287285284284285285285999999999999999999999999999999999999999999999999999999999279281282283284286284286289287285285285287287287289286285288286287287285288289285286286287285287289288290289290289290289291288288290290289289289291292290291290290290291291292292291290291290288289289289287287288288290290290289289290290290291291290289289291291292292291291292291292292294290292293293293294292292294294294292295296297296295295295296295295295295296296296297297297297297297297296295295295297296298298298297298298296297297297297297297297297297297297296296296296296296297296296297297297297296295295294296296296296296297296295296296297297296297297296296296295295294294294293294292293293293293293292291291292292293292292293292292293293294294293294295295295295295296295296296297296295295295295295294294292292292292291293292291291291290290290290290291291292291291291290290289290289289288288288288287288287287287286286286286286286287287285284283284284284285285285286286286286286287287289288288289289289288288289288288287287287287287287288287286286286285287285286287287286286287287287287287288289289290290289289288288288288288288287287288288288288289290290290290290290290290291291291291291291291291291291291291292292292292292292292292292292292292292292292291291291291291291291292292292293293293293293293293293294294293293293293293293293292293293292293292292293293291292292291291291291291291290291291291290291291292292292292292293293294293293293293293294293293293293293292293293293293294293293293293293293293294293293292292292292292292291292291292292292292293292293292293293293293294293293293293294294294293293293293293293293293293293293293293293293292292292292292292292292292292292293293293294294294294294295295295295295295295295295295296296296296296296296296296296296296296296296296296295295295294294294293293294294295295295295295296296297297296296296297296296296296295295295295295295294295295295295296296296296296295295295295295295295295295295294294294294294294293293293293293292292292293293293293292292292292292292292292293293294293293293293293293293293293292292292292292292292292292292291291291291291291290290289289288288289289289289289289289289289290290290290291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289290291289289290290291291292291290289290291291291291291292292291288287285285285288999999999999999999999999999999999999999999999999999999999999283283283283284285286287288287287285286287287288288289287287289288287289287288288288289288289287291287289291287289290291291290291290291291291292290290292290292291291290291291289289291290290289288287288289288286287287291290289289290290290292291290290289289290291291291291292292292291292293292292292293293293294294294295294999296296296297296296296296296296296295296297297297297297297296296296297295296296297297296298298297299297298297298297297297297297297297297296295296296296296296295296296297297296296296296295295295295295294295295295295296296297296296296296296295295295294294294292293293293293293293293292292293292292291293293292292292292293293294294294294294294295295296296297297296296296296296295295295293294293292293292292292291291291291290290290290291291292293292291291290290290289290290289288288288288288288287287287286287287287286287287286285285284284284284285285286286287287287287288288289288289289288288288289289289287287288288287288286287287288288285287286286287287286287287287288288288289289289290289289289288288289289288288287288288288288288289289290290290291290291290291291291291291291291291291291291291292291292292292292292292292292292292292292292292292292291291291291291292292292293293294294293293293294293293292293292293293293293293292292292292292292292291292292292291291291291291291291290291291291291292292292292291292293293293293293293293293293292292292292292293292292292293293292293293293293293293293292292292292292291292292291292292292292292292292293293293292292293294293294293294294294294294293293293292292292292293292292293293293292292292292292292291292292292292292293293293293294294294294294295295295295295295295296296296296296296296296296296296296296296296296295296296295295294294294293293293294294295295296296296296296297296297296297297297297297296296295295295295295295295295296296296296296297296296296296296295295295295295295295294294294294294293293293293293293293293293293293292293292291291291292292293293293294294294294293293293293293293293293292292292292293293292292292292292292292292291290290290289289289289289289289289289290290290290290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286291290290291290291291290292292291291292290292292292292293293292292289287285285287999999999999999999999999999999999999999999999999999999999999285283282284285289288286287286287287286285286286287290289288287287286288289286288288287287289289290289287289291291290292292288288291291293292293293291290291292291291291290291290289289288289289288288287287288287287287286290290289289291291291292291290290289291292291292292292292292292291292292293292293292292292293294293294294294295296296296296297297296297297297296297298298298298297297297297296296297296296296296297296297298298298296297297297297296296296298297297297297296297297297296296296296296296296296296296296295295295295295295296296296296296296296296296296296295295294293294294293293293294293293294293292292292293293293293293292292292292293293294293294295295295296296297297297297297297297296296295295295293294293293292292292292291291291291292291291291291292292293291292291291290290290290290290289288288289288287287287286287288288286286286287285286284284284285284284285286286287287287287288288289289289289288289289289288288288287287288288288288288286288288287286287286287287287287287287288287289289289289289288288288288288289288288287287287288288288288288288289290290290290290290291291291292291292292291291291291291291291291291292291292291291291291292292292292292292291291291291291291291292292292292293293293293293292293293293293293293293293293292292292292292292292291291291291292291291291291290291291291290291291291292291292292292292292294293294294293294293293293293292293292293293293293293293292292293293293293293293291292292292291291292291292292292292292292292292293292292293293293294294293294294294294294294293293293292292292293292292292292293293292292292292292292292292292292292293292293293293294294294294295295295295295295295295296296296296296297297297297296296296297296296296295295295295294294294293293293293294294295295296296296296296297298297297297297297296296296296295295296295296296295296296296296296296296296297296296296296295295295295295294294294294294294294293293293293293293293293293293293293292291291291292292293293293293294293294293293293292293293292293292292292292292292292292291291291291291291291291290290290289289289289289289290290290291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290291290289289288289291290290291291291290291291291293291293292293290290288285285288289999999999999999999999999999999999999999999999999999999999285285284284285286287285287287287287287287287287288290289288288289288288288288289289289289289289290290290290291292290290290289292292293292293293291292292291292291291291291292290289289289288287288287288287287287287288288290290291291290290291291291292292293293292292292293293292291292292292292293293293292292291292293293292295294295296296295295296296296297297297298298299299299299298297298298297298298297296298297298296296296297297298298298297297297297298296298297298299297297298297297297296297296296295295295293294294295295295296295296296297297296297296297297296297296296295294294296292293293293293292294294293293292294293293293293293291292293294294294293294295296295295296297295297297298297297297296295295294294294294293293293293292292293292291292292292292292292292293292292292291291291290291290290289290290289289289288288288288287287287287286286285286285284285284284285285285286286286287288288288288289288289289288289289289288287288288287287288287288287289288287286287287287287287287287287287288289289290289289288288288288287288288288288287287288288288288288289289290290290290290290291291292292292292291291291292291291291291291291291291291291291291291292292292292292292291291291291291291291292291291292292293293293293293293293293293293293293293292292292292291291291291291291291291291291291291290290291291290291291291291292292292292292293293293293294294293293293293293293293293292293293293293292293293292293293293293292292291292292292291291292292293292292292293293292293293293293293293294294294294294294293294294293293293293293293293293293293293293293293293293292293292292292292292292292292292292293293294294294294294295294294294295295296296296296296297297296297297297297296296296296295295295294294294293293293293293293293294294295296296296296297297296297297297297297296296295296296295295295295295296296296296296297296296297297296296296296296295296295295294295294294294294294294294293293293293293292293293292292291291291291291292292293293293293293293293293292292292293292292293292293292292292292292292292293292292292291292291291291291291291291291291291291291292291292292291292291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291290291289292291291292292292293294292291292291293292292292293291289292288286286291999999999999999999999999999999999999999999999999999999999281281283283283286287286288289289288288287287287287288288289289288289291289291290290289289287288290290289289291292293291292292291292292293292294293292291290292291291291291290290290290290291288287288287287288287289288289289292292291291290290290292291291291293292293293292292293292292292292292293292293292293292292292293292291296294295296296295295296297298297297298298299299299300300299298299298298298298297298299299299297296297298299299299299299298298298298297297298299299298298297297297297297296297296294295295294294294295295295296297296298298297296296297297296297297296296295295294295294294294294293293294294294293292294294293293294293293293293294294295294294294296296296296297297296297297297297297296295295294294294294294295293294294293293292293293292292292291292292293293292292291291291291290291291291290290290289289289289288288288288287287286286286286285284284285285285285286286286287286289289289289289288288289288288289288288287288288287287288288288288288288287286287287287287287287287288288288289289289289288288288287287287288288288288288288288287288288288289290290290290291290290291291291292292292292292292292292291292291291291291291291291291291292292292292292292292291292291291291291291292291292292292293293293294294294294293293293293293292292292292292291291291291291291291291291291291291291291291291291291291291292291291292292292292292294294294294293293293293293293292293293293294293293293293293293293293293292292292292292292292292291291292292292292292293293293293293293293293293293293294293294293293294294293293293293293292292292292292292293293293293293293292292292291291291291292292292293293293293293294294294294295294295295295295296296296296296297297297297296297296296295295295294294294294293293293293293293293294294294295295295295296297296296297296297296295296296295295295295295295295295295295296296296297297296297297296296296296296296295295295295295294294294293294294294293293293293293293293293293292292292292292292292293294294294294294293293293293292292292292292293293293293293293292292293292293292292292292292292292292292292292292292292292292292292292292292291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292291291291290290291292292293293294295293293292292293293293293294293294293290289287292292999999999999999999999999999999999999999999999999999999279281284283285288289289289290289289287288288288288289288289289289290291292292292290289289288288288291290291292295289292292292292290291292292292292292291291291291291292292291291290289290291289288287287287287289289287288289291291291290289289289290293293293293292293293293293293292292292292293292292292292293293292291293293293293294295294295294999296296296297298299299299299299300300300299299298299298298296299299299297298298298300298299299299298298298298298296298299298297297298297298297297297297296296296295296294294295295296296296296297298297297296297296297297297297297296295296295294294294295294295295293295294294293294294294294293294293294294295295295295294295296296296295297298298298299297297297297296296294295294294294294293294294294294293294293293292292292293293293293293292292291291291291291291291291291290290289290290289288288288288287286287287287285285284285285285285286286286287287289289289290288288289289289289289288288287287287287287287287288287288288288287287287286287287288289288289289290290289289288288288287287287288288288288288288288288287287288289290290290290290290290291291292292292293293293293292292292292291291292292292291291291291292292292292293293292292292292292291292292292292291291293293293293293293294293293293293293292292292292292292292291291292291291291291291291291291290291291291291291292292291291292292292292293293293294293293292293293293293293292292293292293293293293292293293293293293292292291292292292292292291292291292292292293292292293292293292293293293293293293293293292293293293293293293293293292292292292293292292293293293293293293292292291291291291292292292292292292293294294294294294294295295295295295295296296296296296297297296296296296295295294294294293293293292292292292292293293293294294295295295295295297296296297296296296296295295295296295295295295296296296296297297297297298297298297297297297297297297296296296295295295295294294294294294294294294294294294293293293293292292292293293293294294294294294294294294293293293293293293293293293293292293292293292292292292293292293292293292292292292292292292292292292292292292292292292291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292290290291291292294293293294294294294294294294294295295295296295295295294292288290294999999999999999999999999999999999999999999999999999999277281283285287289290290290291290290290292292291290292290289289289289292293293291290291291291291291291292293291292292293293293293293293293292292293292291291292292291291291290291290289288289291289289289289289290289288289289289290290291290289290290293293291292292292292292292292291292291292291291291291292293293292291293293292296295294294294295296294296296297297299299299299299299300300300299299299298297297299300299297299298298298298298299298298299298298298297297297297297297297297297297296296296296296296295295295295295294295298296295296297296296295296295296296296296297297296295295294293294293294295294293294294293293293293294293293294293294294295296294295295296295296296296297298298299299298297297296297296296295295294295294293295293293294293293294293293293294293293293293294292292292291291291291291291291290290290289289290290290289288288288287287286286285285284285285285286285286286287288290289289290289289289289289288288288288288287287287288288287287288288288288288288288287288288288288288289289289289288288288288287286287287288288289288288288288288286287288289290290290290290290290291291292292292292292292292292293292292291291291291291291291291292292292292292293293292292291291291291292292291291291291292292293293293293293293293293293292292292292292292292291291291291291291291291291291291291291291291291291291291292291292292292292292292292293293293293292293293293293293293292292293293293293293293293293293293293292292291292292292292292292292291291292292292293292292292293292293292293292292292292292292292293293293292292292292292291292292292292292292292292292293292292292291291291290291291292292292292293293293293293294294294294294295295296296296296296296296296296296296296295295294293294293293292292292293292293293293294294295295295295296296296296297297297297296296296296296296295295295296297296297297298298298298298298298298298298297298297297297296296296296295295294294294294294294294294294294294294293293293292292292293293293293294294295294294294294293293293293293293292292292293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292291293292292293294293293293294294294294294293295297295296296297297297295294290290295999999999999999999999999999999999999999999999999999277278283285287289291290292291291291291292291291291292292291290294290290291291294293291288289290290292292292292292293293293293293294293293292292292293292292292293291293292292291290289288289290289290291288289288287289289291290290292290292292291291293293293291290291292293293292292292291291292291291291291292292292292291293292293295293293293294294297295295296296295297298299299299299299299299299299298298299299299299299298299298298297297298298298299299298299297297297296296295297299297297297296298296296296295295295296295294294295296295295295296296296296295295295297297297297295294294294294293293294295293293294293293293293293292293294293294294294294295294294295296296297296296296298298299299298297297296297296296296296295295295294293293294294294294294294294293294294294294293293293293292292291291291291291291291290291290290291292291291290290288288288287286286286285285285284285285285284285286289289289289289289288289289289289288288288288287286288287287287288288288288288288288288288287288287287287288289289289288288288287287286287287287288288288288288288288288288289289289289290290291291291291292292292292291292292292293293293292292292292292291291291292291292292292293293292292292292291291291291291291292292291291292292293294294293293293293292292292292291292291291291291291291292291292291291291291291291291291291291291291292292292292292292292292292293293293293292292293293293292293293292292292293293292292292292292293292291291291292292291291291291291291292292292291292292292292292292292292292292291292292292291292292292292292292292292292292291292292292292292292292292292292292292292292291292291292292292292293293293294294294294294294295295295295296296296297296296296297297297297296295295293294293293293292293293293293293293293294295295295295295296296297297297297296297296296296296296296296295296296297297297298298298298298298298298298298298298298298297297296296296295295294294294294294294294294294294294294294294293293292292292293293294293294294295295294294293294293293293292293292292293292292292292292292292292293292292292292292292292292292292292292292292292292292292292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294292291292292293293293294296297296297296294296298296298298299300299297295293290297999999999999999999999999999999999999999999999280279280281285286289291291293289291289290291291291289291292291292293294291289290291292293289289289290289291293290292292293294293292292293292291291292293294294292292293291292292291290289290289289290291291291289291290289290291290290291292290291292292292293292292292291292292293293293292292292291291291290291292293292291290289290291293293294293294295296295296295296296298297299298299300298300300300299300299300299299299299299298298298298298298298298298299298299298297297297298297297297296297297297296296296296295295295296296295295295295296295295295296296296296295295296296296296296295295294294294293292294293294293292293293292292293293293292293293294293294295295294295295295296296295296297297297298297297297296296295296296295295295295294294293294294294294294294294294294294294293293293293292292292291291290291291291291291291291291292292291291289290289289287287286285285285284285284283284283283285287287289289289288289289289288288287288287287287287286287288287287287287287288288288288287288287287287287287288289288288288288288287286286286287287287287287287287287288288288288289289289289290290290290290291292291291291291292292292292292292292292292292291291291291291292292292292292292292292291291291291291290290291291291292292291292293293293293292292292291291291291291291291291291291291291291291291291291291291291291291291291291291292291292292291292292292292293293293293292292293292293292292293292292292292293292293292292292293292292291292292291291292292291292292293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291292292292292292292291292292292292292292291292292293293293293294294294294294294295294295294295295295295296296296296296297296296296295294294294293293293293293293293293293293294294294295295295296296297297297296297296297296296296296296296295296296296296297298297298298298298298298298298297299298298298298297296296296296295295294294295295295294294294294294294294293294293293293293293293294294294295295295294294294294293293293292293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290296290290293293293293294295295296295295296298297300301298299300300300298293291288999999999999999999999999999999999999999999278280282285287288289289290290291291292292291292292292290290292291291292293292293292291290290291291291292292291291292294293293293292293292293292291291291294295293292293293292292293292291290289290290289290290289288289289290291292290290292293293293293292292293293293294293293292293293293293293292291291291290291292293292293999999999999292293293294294295295295296295295296298299299298299299299300300301301301301301300299298299299300300298299299299299299297299299298298299298298297297297297297297296297297296296296296296296296296295295296295296295295296296296296296296296296296296295295295294295294294294293294294294293293295294293294293293294294295295294295295295295294293295296296296297296296296297297297297297297297296297297296296295295295295294295295295294294295294294295294294295294294294293293292292291292292291292291292291292293290291291290291290289289289288287286286286285284284283285285285286287289289288289290289289289289288287287288287287287287287287287287287288288287288287288288287287287287287287287288287287288288287286286286286286287287287287287287287287288289289289290290290290291292291291291292292292292291292292293293293293293292292292292291291292292292292292292292292292292291291291291291291292292292291291291292292293293293293292292292291291291291291291292292291291291291291292291291291291291291291291292292292292292293292291292292293292293293293293293292292293293292293293293293292293292292293292292292292292292292292292292291291292292291292292292292291292292292292292292293292292292293293292292292292292292292292292292292292292292292292292291292291291291291291292292292292292292292293293293293293294294293294293294294294295294295294295295295295295296296296296296296296295295295294293293293293293293292292293293293294294295295295296296297298297297297297296297296296296297296296296296296296297298298297298298298298298298298298298298299298298298297297297297296296296295295295295295294294295294295294294293294293293293292292293294294294294295295294294293293293293293293293292293292292292292292292292292292292292292293293293292293293293292292292292292292292292293293293292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295291289289292293291292292294294295296296296297298300301300299300301302300298295291290999999999999999999999999999999999999279281282285285288290290289291291291291291292292291291292292292291291291292293292291294293293291293292292292292292292293293293292292293292292292293292292293294295293293293293292293292291291291290290291291290290289289290289289291291292292293293292292292292292293294294293293293295295295293292290292292291292291290294294999999999999999999999999294294295293294295297999295297298297298299298299300301300301301301301300300300299299299300299299299299299299299299300299299299300299299297297297297297297297297298297296296296296296296296295296296296296296296296296296296297296296296296296296295295295295294294294294294295294294294294294293294293293294295295295295296295294295294295296296295296296296297297297297297297297297297297297296296297296296296295295295296295295296295295294294295295295294294295293293292293293292292292292292292291291291290291291291291291289287289288288287286286285285285285284284285286288289290289290290290290290289288288288287287287287286287288287288288288288287288287287288287287289288287287287288287288287287287286286286287287287288288287287287287288288289289290291291291291292292293291291292291292291292292292292293293293293293292292292292292292292292292292292292292292291291291291291291291291292292291292292292292292293293292292292292291291291291291291291291291291291291291291291291291291291291291291292292292292292292292292292292292293293293293293293293292292293293293293293293293292292292292292292292292291291292292292291291291291292291291291291291292292292292292292292292293292292292292292292292292292292292292292292292292292292292292292291292291292291291291291293292292293293293293293293293293293293294293294294294294294294295295295295295295296296296296296296296296295295295294294293293293293292293293293294294294295295296296296296297297297297298297297297296296296297297296296297297297297297298297297297298298298298298298297298298298298298297298297297297296296296295295295295295295294294294294294294294294293293293293293294294294294295296295294294294294293293293293293293293292292292292293293293292292292293293293293293293292292292292293293293293293293293293293292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289293290290291293292293293296297297298298299300300301301302303303303303302301298293288288287999999999999999999289286285284286285287288290290291291291292292292292291291291292293291291293292292291291292291292291292292292293293293292293293293292293293293293293293294293293293293293294294294293292292293292293292291290291291291290290292292291289290291292292293294294292292292292293293294294293294294293296294294292293294293292291292292294294999999999999999999999999999999294295296296297999999297297296297298298299300300300301301301301300300300299300300300299299299300299299300299300300300300300300299297298297297297297297297297296296296296297296297296296296296295296296295296295295296297297297296296297296295295294295294294294294294294294294294294293294293293293294295296295295296295294295294295296295296296297296297297298297298297297297297297297297297297296296296295295295295296294295296295296296295295295295295294293293294293292292292292293292292291292292291292292291290291290287288288287287286286284284285284285285286286287288289289290291290291291289288288287288288288287287287287287287288288288288288287287287287287288287287287287287288288288287287286287287287287287287287287287288287289288289289290290292292292292293291291292292292291291292292292292292293293293293292292292292292292292292292292292292291292291291292290291291291291291291291291292291292292292292292292292291291291291291291292291291291291291291291291291291291291291291291291292292292292292292292292292293292292292293293293293293292292293293291292293293292292292292292292292292291291291292291291291291291292292291292291291291291291292292292292292293292293293293292292292292292292292292292292292292292292291292292292292292292292291292292292292292294294294293293293293293293293293294293294294295294294294295294294294295295295295295295296296296295295295294294294294294294293293293293294294294294294295295296297297297297296297298297297296296296296296296297297297297297297297296296297297298298298298298298297297298298298297297297298298297296296296296296295295295295294294294294294294294294293293293293293294293294294295296295294294294294294293293293293293293293293292293293293293293293293293293293293293293293292293293293293293293293293293293293293293292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295292292294292295295296296296297298301300301302302303304304303302303302301297294293291292291289288999999285287288289288288290291291290291291292292292292292292292293293293292293294293294293291292292292293293293292292293293293294294293294294294294294294295294294296294293292292293293292292292293292293292291291291291291290290292292291292291291290293293293293292292293293292292294294293294294294294294295294294294294292292292292293293999999999999999999999999999999999999999999999999999297298297298299298299300300300300299300301300301300300299300300300300301300300300300299301300300300301300299298299299298297296297296296296296296295297297297296296297296295296297296296296297298298297297296296296296296296295295295295295294293294293294295294294294293294295294295295295295296295294294295296296297296296296296296296298297297298297296297297298297297296296296295295295296296296296296296297296296296296295296295294294294293293292292293293292291292292292291291292292292291292289289288287287287286285284285285285284285285287288288288289290289290290290288288288287288288288288288288287287288288288288288288287287287287288287287287288287287287287287287286286286287287287287288287287288288288288288288289291291291292292291290291291291291291291292291292292292292292293293293293292292292292292293293292292292292291291291291291291290291291291291291291291291291292293292291292292291292292291292292292292291291291291291291291291291291291291291291291291291292292292292292292292292292292292293293293293293293292292292293292293293292292292292292292292291292292291291291291291291291292291292292292291291291292292292292292292292292292292292292293292292292292292292292292292292291292292291291292292292292292292292292293293293292292293294293293293293293293293293293294294294294294294294294294294295294295295294295295295295295295294295294294294294294293293293294293293294293295295295295296296297297297296297298297297297297296296296296296297297297296296296296296297297297298298297298298297297298297298297297298298297297297297296296296296295295295295295295295294294294294293293293293293294294294294295296295295294294294294294293294294293293293292292292293293293293293293293293292293293293292293293292293293293293293293293293292293292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293293293293293295296296298299300301300302303303301302301302302303304300299297295294289293289288284288288291292291291292291291291291291292292293292293292292293293293292293294293292291292292293292293294294293294294294294295295295295296295295294294294295295296294293293294293293293293292293292293293291291291290291290291291290290293291290291290292292292292295294294294293294291293295294295295295295294294293293292292292293290999999999999999999999999999999999999999999999999999298298297298298299300300299298299300300301301301301299300299299299300300300300300300299299301301300300300298298298298299297298297297296296296297297296297297297297296296297297296297296296296296297297297297297297296296296296296295294294294293294295294294295295295295295295295295296295296296296295294296296296296297297297297296297298298297298298298297298297297297297298296296296296296297296297296297296296297297296295295295294294294294294293293293292293293292292292292291292292291291291290289288288287288287287286285284284284285285286287287288288289289290289290289289289288288288287288288288289289288288288288288288288287286287287287287286287287286286286286286286286286286287287288288288288288289288288288287286289291289292292291290290291292291291291291292291292292291292292293293293294293292292292292292293292292291291291291291291291290291291291291291291291291291291291291292291291292291292292292292292292292291292292291291291291291291291291291291291291291291291292292292292292291292292292292292293293292292292293292292292292292293291292292291292292292292291291291292291291291291291291292292292292291291292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293292293293293293292293292292292294293293293293293293294294294294294294295295294294294294295295294294295295295295294294294294294294294294294294294294294294294294295295295295296295296296297297297297298297298298297296297296296296296297296296296296296296297297298298298298298297298298298298297298298298297298297297297297296296296296295296295295294294294294293293294293293293293293293293293294295295295295294294294293293293293293293293292293292292292292292292292293293292292293293293293293293293293293293293293293293292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293293293293295294296297298299301303303303300300300300300302304303302300298295295293293293291289290289289291291291291291291291292292291292293292292293293293293292293293294292292292293293293293294293293295295295295296296295295296296295297295295295295296295295294293294294294294293292293293293291291291292293292291291289289289290290291290290292291292293294295293294294291292294295295295294295294294293293292292292292293292999999999999999999999999999999999999999999999999999298299300298299299299300299298300300300300300300298300300301299299300300299300300300298298300299299298299298297297297298297296296296296296296297297296296296296297295297297297297297296296296297297297297297297297296296296296296295295294295294295294296295296296296296295296296296296296295297296295296296295296296297296296296297297298298298298298298298298298298297297298296297297297297296297296297297298297297296295295295295295294293294293293293293293292293291292292292292291291291291288291290288288288289288288288287285285284285284286286287288288289290290289289289289289288288288288288287288289289288289288289288288289288287286287287287286285286285286285285286286285286286288287289288288287289289287288288288289290289289290290290290291291292292291291292291292291292292291292292293293293292292291292291292292292292291291291291291291290291291291290290290290291291291291291292292291291291291292292292292292291292291291292291291291291291291291291291291291291291291291292292292292292292292292292291292293293292292292293293292292291291292291291291292292291291291291291291291291292291291291290291291292292292291292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293293292293293292294293292293293293292292292294293294294293293294294294294294294294295294294294295294295295295295295295295295294294295294294294294294294294294294294294294294294294294295295295295296297297297297298297298297297297297296296296296295295296296296296296297297298297298298297297297298298297298298298298298297297297297297296296296296296295295295294294294294293293293293294293293293293293293294295295295294294294294293293293293292293293293292292292292292292292291292292292292293293293293293293293293293293293293293293292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293293293293294294297298299298298297300303302300305304303304300301302298298297293293293293293293291291291291291291291291291292292292292294293292292292293293292292292293293293293293293294293294294294294295294296296296296296296295295296296296295296296295296295294294293293293293292293292291291291292292292290292290291289290290291293293293294294293294294293293294293292292294295295294295294294294293292292291289292292291999999999999999999999999999999999999999999999999999295299300299300300301300299300300300301300300301300300300300299298299299298300300300298299299299299299299299298297297297297297297297297297297296297295297297296296296296297297298297296296297297297296297297297297297296296296296296295295295296295294295295295296296296297297297296297296296297297297297296296296296296297297296296298297296297297298298298298298297298298298297297296297297296297296297297298298297296296295296295294294295293294293294293292292291291291292292291290290290290288290287288288289288288288287289285286286286287286287287288288289289289289289288289288287288288288289288288288288288289289288288288288287287287287287286286285285286286286286286285286286286286288288288288289288287288288288288288289289289289289290290291291292292291291292291291292292291291291292293293293293293292292291291291292291291290291290290291290290290290289290290290290291292291291291291291291292292292292292292292291292292292292291291291291291291291291291291291291291291292292291291292291291292292292291291292291291292293293292292292291291291292291291291291291291291291291292291291291291291291291291291291292291291292292292292292292292292292292292292292292292292292292292292292292292293292293293292293293292292293293293293293292292293292293292293293294294294294293294295294293294294294295294294294294294295295295294295295295295294294294294294294295294294294294294294294294294294294295295295296296296296296297296296296296296297296297297296295295295295296296295295296296296296297297298298298297297298297298298298298298297297297297297296296295296295295295294294294294294293293293293293293292292293293294294295295294294294293293293293293293293293293293292292292292292292292292292292292292293293293293293293293293293293293293293293293292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293292293294294295295295298298298299300300302304302302303303301301301301299297297297295295295294293292292293292291290291291292292291291292292293293293293294292292293293294293294294293293293294294295295297297296295297297296295295296295296296295296295296297297295295295293292293293293293292292292293293292292292292290290290290290292292293293293291293292292294295294292291293294295294294294293293294291292292291292292292999999999999999999999999999999999999999999999999999999299300300299298298299300301301301300301300300301301300299300300299299300299300300299299299300300300300299299297297297297298296296297297297296297296296298296296296296296297296297295296296296296297296297296297297296296296296296295296296296296297296295295296296297298297297296296297297297297297297297297296296296297296297297298297297297296297297298298298297298298299299298298298298297296297297296297298299297296296296296295295294294294294293293293292293292291292293291289291290290291289290290288290289288288289289287287287287287287287287287288288288288290290290289288288287288289289289289289289288289289289288288288287287288287287287287286286286286287287287287286286286286286287288288288289289288288289288288289289289289289289290290291291292292291292292292292292291291291291292292293293292292292292291291290291291291290291290290290291291290290290290290290290291290290291291291291291292292292292292292292291292292292292291291291291291291291291291292291291291291292292291292292291291292292291291291291290291291292292291292291291291291291291291292291291291291291291291291291291291292291291291291291292291291291292292292292292292292292292292292292292292292292292292292292292292293293293293293292292292293293293293293293292292292293293292292292293293294293293294294293293294294294295294294293294294294295295294295294294294294294293294294293294294294294294294294294294294294294295295295295296296295295296295295295295296296296296296296294294295295295295295296296297296298297297297297297297297297298298297297297297297296297296296297296295295295294295294294295294294293293293292292292292292292293294295295295294295294294293293293294293292293292292292292292292292292292292292292292292292293293293293293293293293293293293293293292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293293293294294294294294297297298298298297298300301300301301304302299301301297298297297296296295295294294294293292291292292293292291292292293293294294294294294293293294294295295295294294295295295294295295296296296297297295296296296295296296296297296297297297296295295294293294294293293292291292293293293292292291292291291290291292293294293290291291291291294293293291293293294293293293294293293293293293294292292291294999999999999999999999999999999999999999999999999999300299299298298297297298301299301300300301300300301300299300301300299299300299299299299299299299299299298300299298297298298297295297297296297297297297297296297296296296296296295296295296296296296295295296296296297297296296297296296296296296297298296296296296297297298298298298297297297297298297297297296297297297297297297297297297295297296297297298298297298298298299299298299297299298298297297297298298299297296295296295294294294294294293293293292292292291292292292291291290291289291290290289286291287288288289289288287288288288288288288289290289289289290290290290289289288288289289289290289289288289289289289289288287287287287286286286286286287287287288289288288287286287287287288288288289289289288288289289289289289289289290290290291291291292292291292292293293292292292291291292292293293293293292291291291290291290290290290290290290290290290290290290290290291291291291291291291292292292292292292292292292292292292291291291291291291291291291291291292291291291292292291292292291291291291291291291291292291291291292292292292291291291291290291291291291290291291291291290291291290291290291291291291291291291291292292291291292292292292292292292292292292292292292292292292292293292293292293293293293293293293293293293293292292293293292292292293294293293293293293293294294293294294294293293293294294295294294294295294294294294294294294294294295296295294295294294294295294294295295295295295295295295295295295294294294295295295295295295295295295295295295295295295295296296297297297297297297297297298297297297297297297298297297297297296295295295294294294295294294294293293292292293292292293292293293294294295294294294294293293293293293293293292292292292292292292292292292292292292292292293293293293293293293293293293293293293292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293294294295295294295298299299298298298298299300301300299302303302301299298298298298297296296296294294293293291291293293293293293292292293293293294293294295295297295296295296295295296296295296295295297295295297297297297297297295296296296296296296297297296295296295294294294294293293293292291292292291292292291289290290290291293293293291290291291291292291291293293293291292292292292293293293291295295288293293293293999999999999999999999999999999999999999999999999999299298298298297297297298299299299300301301301301300300300299300300299299298298298299300299299299299298299300300299298297298297296296297298298297297296297297297296296296297297296295296295296296296296295296296296297296296297296297297297297297297298297297297297297297297298298299298297298297297297297297297297297297297297297297296296297297297297297297297297298298298298298298298298299299298297298298298298298296296295295295294294293295293293293292293293292291291292291291290289289289288289288290289289288290288289287288287288287288288288288288290289289289290290290289290289288289289289290289290289290289288289289288288288287286287287286286286287288287287288288287288287287288288287289288288289289290289288289289289289289289289289290290291291291292291291292292292292292292291291291291292293293293292292292291290290291291291291291290290290290290290290289290290290290290290291291291291292292292292292292292291291292291291291291291291291291291291291291292291292291291291291291292292291291291292291291291291291291291291291291291292292290291291290291292291291291291291290290291291291290291291291291291291290291291291291291291291292292292292292292292292292292292292292292292292292292293293292293293293293293293293293293293293293293293293293292292293292293293293293293293293294293294293294293293294294294294295294294293293294294294294294295295295296295296294295295295295295295295295295295296296295295295295295295294295294294294295295295295294295295295295294295295296296295296297296297297297297297296296296297297297295297297297297296296296296295295295295294295294294294293293292292292293292293292293293293294294294294294294294294292293292293292293293292292292292292292291292292292293292292293293293293293293293293293293292292293293292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293292294294294293296297296297297298299299302300299299299300301297302299298298297298297297296295294294293292293293293293293293294293293294294294293294295294295295296296296295295297296296296295297296296296298297296297297297298297297296296295295297297296296294295293293293293294293293293292291292293291290290290290290290291293292293291291291291291292292292293292294294293294290292293293291292291295293294294291290999999999999999999999999999999999999999999999999999999298298297296295296298298298298299301301302301300300300300300300300299299299298299299298299298298299299300300299298297297297297296297298297297298296296296296296296295296296296295295295295296295296296296296296296297297297298297298298297298298297297298298297297298298298298299298297297297297298298298297297297297297297297296298296297298297296297297297297298298298298298298297298298298299299298298298298297297297295294295295294294293294294294293292293294292290291292290290289288288289287288289288288288289289288288288288288289288288289288288290289289290288290289289289290289289289288289289290289289288289289289289288288288287287286286286286286286288288288287288287288288288288288288288289288289289290289289289289288289289289289290290291291292291291291292292292293292292291291290291292292293293293293292291290291290290290290291290290290289290289289289290290290290290290290291291291291291291292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290292291291290291290291291291291291291291290290290291290290291290291290290290291291291291291291291292292292292292292292292292292292292291292292292292292292293293293293293293294293293294293294293292293293293293293293292292292294293293293293293293293293294294293294293294294294295294295294294294294294294294294295295295295295295294294295294295296295296295295295295294294296295294295295295295295295296296295295295295295295295296296295295297295296296296297298297297297296296295297297297296296297296296296296296296295295295295294294294294294293293293292292292292292293293293293294293293294294293293293293292293293292292292293292292292292292292292292293293292293293293293293293293293293293293293293293293292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291292293294294294294296297299298298299301300300300299301300299299299298299298298297297296294295293292293292292293294294294294293293293294294294295294295295296295297296295295296296296296297297296298297297296296297297297296296296296296297297296295295295295294292293293294292293293293292292292292292291290289290291290291292291291291291292292291291292289289292293293293294292292294294291291293294294295294294291999999999999999999999999999999999999999999999999999999296297296297297296297298297297299300300300301301301300300300299299299298300299298298299298298299299299300299299299297298298297297297297298297296297296296297296296296296297297295295295295295295295296296296297297297297297298298298298298298298297298298298298298299299299299298298298298297298298297297297297296297297297297298296296297297296297297298297298298298298298298297297298297297298298298297297298297297296296295294294293294293293294293294293292294292291291292290288289288289289289288288288288288289288288288289289289290289289290289288290289289288289290289289289289289290290289289289290290290290289289289289289288289288288286286287286286287289290289288288288288289289288289289289289288289289290290289289289289289289289289289290291291292291291291292292292293292292292291291292292292293293293292292291291290290290290290291290290290289290289289290289290290290290290290290291291291291291291291291292291291291291291291291291291291290291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290291291291291291291290290291291290290291291290291291291290290290290291290291291291291291291291291291291291291291292292292292292292292292292293292292292292293293293293293293293293292293293293293293292293293293292293293292292294293292293293293293293293293293293294293294294294295294295294294294294294294295295295295295295295295294295295295295295295296295295295294295295295295295295295295295295295296296295295295295295295295295296296297296297296296296297297296297296295296296296296296296296296296296295296296295295295295294294294294293293293293292292292292292292292293293294294293293294294293294293293293293293293293293293293292292292292292292292292293293293293293293293293293293293293293293293292293292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289290291293293294295296296298299298299301300299300300299301300301300299299297297297296295295294293293293293293293294295295294294294294294295295295295296295296295296296296296297297297297297297298299298298297297298297296296297297297297298297297297295297297294293293293293294295294293292291292292291291290291292291290291290290291290290290291292290291290291291293293294293290293292294290291293293291293294293290291999999999999999999999999999999999999999999999999999999296297295295298297297296298300299300301301302301301301301300300298299299299299298299299298300301300300299298299298298298297298298297298298297296296296297296296296297296296295294294295296296296296296297296297297297298298297298297298297297297297298298299299299299298299298299299299298298298297297298297297297297297297297297297297297297297296298298298298298297298297298297298297297299299298297298297297296295296295295294292292293294294294294294293292293292292291290288289288289287288288288288289288288289289288289289289289288289289290290291290289289289290290288289289289289289289289289289289290290290290289289289288289289288288287287287288287289289289289287288289289288289290289289289289289290290291290289289288289290289289290290291291292292292291291292292292292293292292292291292291293293293292291292291290290290290289290290290290289290290289289289290290290290290290290291291291291291291291291291291291291291291290290291291291291290291291291291291291291291291291291291291291291291291291291291291291291291291291290290290291291291292292290290290290291290291290290290291290291291291290291291291291291291291290290291291291291291291291291292292292292292292292292292292292292292293293293293293294293293294293293293293293293292293293293293293294293293292293293293293293293294293293293293293294294294294294294294294294294294295294295294294295295295295295295295295295296295296296296296295295295295295295295295295295295295295295295295296295295294295296296296296297296296296296297297297297296296296297296297297297297296297296296295296296295295295294294294293294293293293292292292292292292292292294294294293293294294293294293293293293293293293293293293293293292292292292292293293293293294294294293294293293293293293293293292292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291292292293293292294296298298297298300301301304302302301301301300300299298297297296295295294294294294294293294294294295295295295294295295295295296297296296296297297297297298298297297297298298297298296297298298297297297298298298299299296296295295295297293294294294293295295294293293294294293293292292292292291291291291291291290291291291291291291290292291289293292292293291292294291289294294293292293291290999999999999999999999999999999999999999999999999999999999999296295295297298298297299300300301301301301301301301300300300299298299299299298299299299300301300298298298299298299298298298298298298298297297297296296296296295296295295294294295296298297296296296297297297297298299297297298298299297298298297298299299298299298299299299298298299298298298298297298298296297297297297297298298297297298297298299299299299298298299298298299299298297297298298297298297296295295295296297297294293294296294295294293293292293294294293288289288288288288288289288290289289288288290288289290289289291290290289290291290289288290288288289289289289289288289288289289290290289290289289288289290289288288288288288288288288288289289288288289288289289289290289289289290290289290290290289289288289289289290289290291291291292292292292292292292292292292291292291291292293293292292292292291290290290290289290290289289290290290290290289290290290290290290290291290291291290291291291291291291291291290290290290291291291290291291291291291291291291291291291291291291291291291291291291291291291291291290290290290291291292292292291290290290291290290290290290291291291291291291291291291291291291291290291291291291291291291291291291292291292292292292292292292292292293292293293293293294293293294294293293293293293292293293293293293293292292293293293293293293293293293293293293293294294294295294294294294294294294294295294294295294295295295295294294296295296296295296296296296296295295295295295295295296295296296295296296296295295295296297297297296296296296296296297298297297297297297296296296297297298297297297296296295295295295295294294294294294293294293292293293293292293293293294294294294294294294293293294294293293293293293293293293293292292292292292292292292293293293294293293293293293293293292292292292292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291291292293297296295296299298303301302303303302301300300298298298297296297297296295295294295295295295295295295296295295295294296296296297297297298298298297296297299297298298298298298298297296297298297297297297296296297299297297298298296295296296296296294294294296294293293293293294294293293293292292292292292292291291291292291290290289291293292289293293291292291291293291291291292292290290290291999999999999999999999999999999999999999999999999999999999999299296295297298299299299301301301302302302300301301299299299299299299300299299299298300301301301300298298298297299298298298299298298297297298297297297296296296295296296296296296296297296296296296297297297297298298298298298298298298297298298298299298299299298298299300299299299299298298298298298298297297297298297298297297297298299298299299298299299298298299299299298299299299298298298298297297299297296296296296297295294294295295295293293293293293292291290291289288289289288289289290289288289290290290290290290291291291292291291290290290290289290289290289290290289290290289290290290290289289290290290290290289289288288289288288289289288289288288289288289288289289289289289290289290290290290290290290290289289289289290289291291291292292292292291291291292292292292292291292291292292293292292292292291290290290289289290290290290290290290290290290290291290290290290290291291291291291291291291291291290291290290290290290291291290291291290291291291291291291291291291291291291291291291291291291291291291290291290290290290291292292291292291291290291290290291291291291291290291291292291292291291291291291291292292291291291291291291291291292292292292292292292292292292292293292292292293293293293293293293293294293293293293293293293293293293293293292292292293293293293293294293293293293293294294294295294294294294295294294295295294295294295294294295295295295296296296296296296296296296296296296296296295295296295296296296296296296296297296295296297297297297297296296296297297297297297296297297297297297297297297297297297296296296295295295295294294294294293293293293292293293293293293293294294294294294293294294293294293293293293293293293293293293292292292292292292292292293293293293293293293293293293292293293292292292292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292291291291293293295295297300301301301302301302302301299298298298297296297297297296296295296296295295296295295296295295294294295295296296296296296297297297298297297297298299298298298298298298298298297298297297296297295295295296297298296297296298297296294295295295294293293294295294295294294293293294293293293292291291290290292291290290290291290289292293290292290290292291293293290290288290292292999999999999999999999999999999999999999999999999999999999999999296296298295298299300301301300300300301302301301301300300300300299299299300298299301300302301301300299299299299298299298299298298297297298297296296296296296296296296296296296296297296296296297297297298298298296299299299298298299298298299299299300299299298299299300300299299299299299298298298297297297299298298297297297297299299298300299298300297300299299299298299299300300299298299298299298298298295296296295296298297295294294295293294293293295292289289290290289290289289289290290290289291290290290290291289291292291291292291291290290289289290290290289289289290290290290289289289289289289289289290290290290288289289288289288289289288288288288289290289289289289289289290289289290290290290291290290290289289289289290290291290291292292292292292292292292293292292291291292292293292292292292292292292291290291290290290291290290290290290290290290290290290291290290290291291291291291291291291291290290291290290290290290290290290290291290291291291291291291291291291291291291290291291291291291291291290291290290290291290291291290290292291291290290290290290290291291292291291291291292291291291291291292291292292291292291291291291291291291291292292292292292293292292293292292292292292293293293293291293294294293293293293293293293293293293294294293292293293293294293293293293293293293293293294295295295294295295295294295294294296295294296295294294295295295296296296296296296296296296296297296296296296296296296296296296296296297297297296296296297296297297297297297297298297296297296296296297296297297296296296296296296296296296296295295295295294294294294293293294293293293293294294294294294294294294293294294293294293293293294293293293293293293292292292293292293293293293293293293293293293293292293292292292292292292292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292291293293293294294298299300301300300302303302299299298298298296297298297296296297297295295295295296295296295295296296295296297297296296296296296297297297297297299299299299300300300299299297298298298298296297296297296296297297296296296296295294295295294295293293295296295295295294294293293294293294293291291291290291291290291291291291290290293292292291290290291290292291291290290289290288999999999999999999999999999999999999999999999999999999999999297298297298294296299300301301301301301301301301301300298300300299299299299299300300300301301300300300298299299299299299299299298299298298298298298297297296296296296296297296296296295296296296297297298297298297297297299298298298299299298298298299299299299298299299300300300299298299299299298297297297298297298298298298297298298299299300299298298297299300299299298298299299300300299298299300299299298297297295296297297298295294296295294292293292291291291291291290290290289289290290291290291290290291291291291291291291291290292291292291291290288290290290289290290291290289290290290289289289290289289289289291289289289289289288289289288288288289289289289288288289289289289289290289290290290290290290291290289290290289290290290290291291292292292292292292292292291292291292292292292293292292292292292292291290290291291291291290290290290290290290290290290290291290290290290291290291291291291291291290290290291290290290290290290290290290290291290290291291291291291291291291291291291291291291291290290290291291291291290291291290290290291291291290290290290291291291292291291292291291292292291291291292291292292292292291291292292292292292291291292292292293293292293293293292292292292291292292292294293292293293293293293294293293293293293293294294293292293294293293293293293293293293293293293294295294295295295295294294295295295294294294294294295294295295295295296296297296296296296296296297296296295296296296296296295295295296296296296296297296296296296297297297297297297297296296297296296296296297297296296297296296296296296296296295295295295294294294294294294293293293294294294294294294294294294294294294294294294294294294293294293293293292292292292292292293293293293293293292292292292293293292292292292292292292292292292292292292292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293290293293294293293294295296298300300300300301301302300300301299298298298299298297296297296296296295295296296297296296296297296296296296296296296297297296298299298298299300300300299300299299299298299299298297296297297297296296297297297297297297296295295295294294294295293295295295295294294292293294293293293292292292292291291291292292290290290292292293293292291291292290290293292291290288290290999999999999999999999999999999999999999999999999999999999999296297295296298295299299301300300301301302301300300300298300300300300299300301301299299301300300300300299298297299299299298298299298299299298298298297297297297297296296296296296295297296297297297297297297298298298298298299298299299299298298298299299299299299300300301300299299299299300298297297298297298298299299298299299298298300301301298299299299298299299299298299298300300300300300300300299298298298298296296296296295294295296294293293292292291294291292291290291291290290290290290291292291290292292292292292291291291292292291291291290290289289290290290290290290290290290289291290290289289289289289289289289288290289289289289289289288289288289289289288288288289290290290290290290291290290290290290290289290290290290290290291291291292292292292292292292292292292291292292292292293292292292292293292291290290291291291291290291290290290290290289290290290291290290290290291291290291291291291291291290290290290290290290290290290290290290290290290291291291291291291291291291291291291291291291291291291291291291291291291291290290290290291291291291290291291290291291292292292291292292292291291292292292292292292292292292291291292291292292291292292292292292292292292293291291291291291293292292293293293293293293293293293293292293293293293294293293292293293293293293293293293293293292293294294294295295295295295295295295294294294294294294295295294295295295295295296296296296297297297297297295296296296297296296296295296295296295296296296296297296296297297296296297297298297297297297296295297296297297297296296296296296296296296296295295295295294294294294294294294293294294294294294294294295294295294294294294294294294294294293294293293293293293293292292292293293293293293293293293293293293292292292292292292292292292292292292292292291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294294294294295296299300300301301301302302301301301300299298299299300298297298297296296297297297297297297297298299298298298296296296296297297298299300299300300300300300300300298299298299298298297296297295296296296297297298298296297296296295294294296295295295296297296294295294293294294294294294294293293291292293292292292291291290290291292293294292291293293291290290292291290290291999999999999999999999999999999999999999999999999999999999999999294295296297298298298297298298300301301301299301300300299301299300299301300300301301299300300300301299298298298299298298298298298299299299298298297297296297297297297296297297296296297296297297297298298299298299299298298298297298298298298298298299299300300299301302301299298299299299299298298298298297299298299299300299298298298299300300299299301299298297299300299298299300300300300301302302300300299299298296296296297295296296295292292293293291292291291292291291291290290291291292291291291291292291293293292291290290290290291292291291290291290290290290291290290290290290289290291290290289290290289289288289288288289289289289289289289288290289289289289289289289289289289290290290290291289290290290290290290290290290291290290290291291292292292292291291292292291292291291292292292292292291291292293292291291290291291290290290290290290290290290290290290290290291290290290290291291291290291291291290290290290290290290289290289289289289290290290290290290290290290290291290291291291291291291291291291290290291290291291290290290291291290290292291290290290290291291291292292292291291292292291291291292291292291292291292292291291291291291291291291291292292291291292292292292292291291291292292292293292292293292293293294293293292293293292292293293293292292294294294293293293293293293293293294294294294296295295295294295294294295295293294295295295295295294295295295296296297297297297297296297297297296296296297296296296297296296295296296296296296296296296297297296296297297297297296296296296296297297297297297296296296297296296296296295295295295295295295295294294295295295294294293294294294294294294295294294294294294294294294295294294293293293293293293292293293293292293293293293293293293293292292292292292292292292292292292292292291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295296295294297299299300301301302301302302302301301300299301301299298299299298297298298297297297297298298299299299298297295296296296298298299299299298299300300300300301300299299297297298297296295295297296296297296296297297297297296295296295295296295296296295296296294295294293293293292293293293292292293292293293293292291292291291291292292291291291291293291291292292292291291291999999999999999999999999999999999999999999999999999999999999295294296296297296298296298299299299301300299300300300299301301300301300299299301301300301301301301302300299299299300299299298299298299299298298298296297297296296296296295297296297295296296296296297299298298298298299298298299299299298297297298298299300300300299301301301301300299299299299298298298298298298300299301298299299299299298299299299298300299300300299299299299298299301301300300301301301299300299297298296296296295296296294292292293292290291291292292291291290291291291291291292292291291292291291292292291291289290290291291290290290291291291290290290291290290290289290290290290291290290290289289288288289288288288289289288288288288289289289289289289290289290289289290290290290290290289290290290290290290290290290291290291291291291291291291291291291291291291291290291291292292292292292291293292291291290290290290291290290290290290289289289290290290290290290290290290291290290290290291291291290290290290290290290289289289289289290289289289290290290290290290290290290290290290290291290290290290290290290291291290290291291291291291290291291291291291291291291292293292292292292293291292292292291292291291292292292292292291292292291291291291292292292292292292291292291291291291292292291293293293293293293293293293293293293293293293293293293294293294294293293293293293293293293294294294295295297295295294294294294293294294294294295295295295295295295295296297296296297297297296296297297297297296297297297297297297297296296296296296296297296296296296296297297297297297296297296296297297297297297297298296297297296296295295296295295295295296296294295295295295294294295294295295295295295294295294295294294294295294294294294294294294294293293293293292293293293293293293293292293293293292292292292292292292292292292292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297296296296298299301301300301301301302302301299300300301300299300300301299298298298297296297297298299298299299298295296296296297297298298299299299299301301301301300300298299297296296297297295296295294296296296297296296296297296295295294295294296296296297297295296296294294293293291293294293293291294293294292293293293292292291292293293292291291292291292291293294293294294292999999999999999999999999999999999999999999999999999999999999297295295296297294297295298298299299299299299300300300299299299300300300300300299300300299299300301300299300299300299299299299299298298298299298298297297297296296296297297296296296296296296296297297298298298298298298299299299299298298298298298298300299299300299300301301300301300300299299299299298298298299299299299299299299300301299300299299299299299299300300299299300297298299300300300301302300300299300299299299296296296294295294292293292292292291291291291291291291291291291291291290291292293292292292291291290290290290290290289290290290291291290290291291292290290289290289290289290290290289288288289289289288289289288288288288288288288289289289290290290290290290290290290291290290290290290290290290291289290290290290291290290291291291291291291291291291292291291291291290291292293292292293291293292292291291290290290291290290290289290290289290289289290290290290290290290290290290290290290290290290290290290290289290289289290289289289289289289289289290289289290290290290290290290291290290290290290290290290291290291291291291291291291291291291291291292292292292292293292291292292292291291292292292291291292292292292292291292291292291291291291291291291291292291291292292291292292292292292292293293293293293293293293294293293293293293293293293294293293294294294293293294293294294294294295295296296295294295294295294294294294295295294295295295295295295295296296296296297296296296297296298298297296297297297297297297296296296296296296296297297296296296297297296297297297296296296297297297298298298297297297297297296295295295295295295295296296295295294295295295294295295295295295295294295295295295295295295294294295294295294294294293294293293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298296296299300301302301302301301302302302301300300300299300301300300300299298298299298298298298298299299298297295296297297298298299299299301301300301301299301301300298298297296295296296296297297296296296296297297297295296297296296296295295296295297296296296296295295294294295295294294293293294293293293293292293293293293292291292292292290292288291292291292293294294295292999999999999999999999999999999999999999999999999999999999296296294295296296297297297298297298299299300299299299300300300300300302301300301301300300298299300299301299300299299298299299298299298299298298298298298298298298297297297297296297296296297296297297297297299299299299298298299298299298298299299297298299299299300300301301300299300300300299299299298298297298299300300299299299298300300300299300299299299298299300299299299298299299299301301301304303300300298299299299300299297297295294294293293293293292292291291291291291290292291292291291291290290291291291291290290290291290289290289289291290291291291290290289290290290290290290290290291290290290290289289289289289288289288288288288288288288288289289289289289290290290290290290290290289291289290290290290289290290290290290291290291291291291291291290291291291291291291291291291291291291292293292293294293291292291291291290290290290290290289289289289289289289289290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289290289289289290290290289290290290290290290290290290290290290290291291291291291291291291292292292292291292292293293293293292292292293294293292292292292293292292292292292292293292292292292292292292291292292291291291291291292292291292293292293293293293293293293292293293294294293293293293292292293293293293293294293293294293294294295294294294295295295295295295294294293294295295295295295295295296295295295295296296297296296296296297297298297298298298298297297297296296296296296296296297297297296296296297297297297297296296296297297297298298298298298297297297297297296296295295295295296296295295295295294295295295295296295296296295295295295295295295295295295295294295295294294294294294294293293293292293293293293293293293293293293293293293292292292292292292292292292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296300296295298298300301300301301301302302302300300300300300300300299300301299298299298298298298299299299299298297297298298298299299299299299301301301301301301301300298298298298295295298297296297297297297297297297297298297297296296296296297296297296296296296296296296295295295295294295295295294294294295295294294293293293294293294291292292289292290293291291291999294294293293999999999999999999999999999999999999999999999999999999999296296297295295296297296297299298298298298300298300301300301301301303303304302301303299300299301300300300299297299300299299299299300300298299298298298298297298298298298297297296296297297298297296297298298299298299298298298299299300299298298298299299299300300300300300301301300299299299299299298299299298298299300299299298300300299299299300300301300298298299299298299300299300299300301301302302302302301299299299300300300296295296294294294294293293292292291291292291292292292291292292292291292292293292292292290292291291291290290290291291291290291290290290291291291290290290289290291291290291289289289289289289289289288289289288288288288289289289289289290290290291291291292291291292291290290290291291289290290289290291290291290290291291291291291291291291291291291291292292291291291291291293292292293293292292291291291290290290290290290290289289290289289290290290289290290290290290290290291290290291291290290290290290290290290289290289289289289289289289289289290289290290290290289290290290290290290290290290290290290290291291291291291291292292292292293292292292292293293292294294292293292292292293292292292293293293292292292293293293292292292292292292292291292291292292292293292292293292292293293293294293293293293293293293293293293293292293292292293293293293294293294294294293294295295295295295295295296295296296295294294294295294295295294295295295295295295295296297296297296297297297297297298298298298298297297296296296296296296296295296297297296296296296296297297297296296296297297297297297297297298297297297297296296296296295295296295296295296295295296295295295296295295296295295295295295295295295295295295295295295294295295294294294294293293293292293293293293293293293292293293293293293292292292292292292292292292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295296298299301300300300300300302301300300300299301300299298299300299298298298298298299298298299299298298300302299300300299299300300300301301301300301300300300299298297297299300298298298297298298297297298297296298298297297295296297297296296296296295296295296296296296296296296295296295296296295294295296292294293293294293293293292291292293293291291292999999295294295294999999999999999999999999999999999999999999999999999999296295294295296296296296297298299299300299299300300300301302301301302303303305304302301301301301302300300301300299299299299299299300300298299298299298299298298298298297298296296297297297298297298298297299299299299299299300299299299299299299298298299300300300300300300301300300299300300300299298298299298298298300299299299299299300300301300300301300298299299298299299300300299301300301301302300300301302301301301301300300299296297296295294294293293293292292292293292293293293292292293293294292293294292291292292292292291290290290291291290291292291291291290290290291290291290290290290290290289289289289289290290289289288289289289288288289289289290289290290291291291291291291291291292291290290290291290289290290289290291290291291291291291291291291291291291291291291291291291292291290290291293293293294293292292291292291290291290290291290290290290289289289290289289289289290290290290290290290290290290291290290291290290290289289289289289289289289289289289289289289289289289289289289289289290289289289289290289290290290290290290290291292291292292292292293293293293293293293293293294293293293292293292293292293293293293293293293293293293293293293292292292292292292292292293292292293292292292293293293294294293293293293293293293293293293293293293293293293294294294294295295294294294295296294295295295296295295295295296294295295295295294295295295295295295296296296295296296296296297296296297297297297297297297296297296296296297296296296295296296296297296297297296296297297297296296296296298297297297297296297297297297296296296295295296295295295295295295295295295295295295295296296296295295295295295295295295294295295295295294295295294294294294294293293292292292292293293293292293292292292292292292292292291291291291291292292291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298296298299299300299300300300300299300300301299298298298298297298298298298297297298298298298298297297297298299298299298298299299300299301301298301300300300299299298299300299298298298297297297297298298297297297296297295296296296296296294296295296296296295297296297297296295295296296295296295294293294293294293291295293293290293294292292291291292290999999292290296292999999999999999999999999999999999999999999999999296296295296294295295296298298298298299299300300300299300302301301302302303302304304303302302301301302302300300300299299299300300298300300299299298297298298298298298299299298298298298298297299299298299299298299299300299299300300300300300300300299300299300300301302301301301300301300300300300300300299299299298299299301300299299300300300301300301300301300299299300299299299301300300301300301302302303298301300300301301300301302300296298299298294294294293293293293293293293292293292293293293293294293294294292292291292292292291291290291291291291291291291290290291291291291291291290290290291291290290289290291290290290289290289289289289289290289290290290289289290291291291292293291291291292292291290291290289291290290290290291291290291291291291290290291291291290290291290291291291291291291291291291292292293293292291290291291291290291291290291290290289290290289289289289289289289289289290290290290290290290290290291290291290290290290290289289289289289289289289289289290289289289289289289289289289290289290289290290289290290290290290290291292291292292292292292293294293293293293294294294293292292293292292292292293293293293293293294294294294294294293293293293293293293293293293293292293293292293293293294293293293293293293293294294293293293293293294294294294294294294294294294296294295296296296296296296296295294295295295295294295295295294295295294295296296296296296296296296296297296296297297297297297297298296296294296296296296296296296296296296296297296296296297297297297296296296296296297297297297297297297296296296296296295295295295295295295295295295295295296295296295295295295296295295295295295294294295294294294294295294294294294294293293293293293292292292292292292292292292292293293292291291291291291291292291292291291291291292291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297298298299299299298299298299299300300300299299298297297296295296297297297297297298298298296297297296296298299299298300299300299300301301302302300299299298298298299299299298297297297297297299297296297296295295296296296294295295296296295295296297296296294295297295294295295295296295295295294294294292292293292294293293293293293292293293292292290999999999292292999999999999999999999999999999999999999999294295296296296295296295296296297298299299299299300300301300301300301303302303303303302302303303303303302301302302300301300300300300299300301301299299299298298298297299299298298298298299298298297298299299298298299298299299300300300300300301301300301300300300300301302303302302301301301301301301301300300300300299300298299299300299299300300300301301300301300301300299299299299299300300300299300299302302301303302302301301302302301303301300296298298299296295295295294294294294293293292292293293293293295293293293294293292292291293291291293291290290292290290291291291290291291291291291291291291291290291290290289290290291290290290289289288289288288289289290290290290290291290291291292292291292292291291291290291291291291289290290290290290291291291291291292293291290291291290290290291291291292291291291291293292292293293293291291291291291290290291290290290290289289289290289289289289289289289289289290290290290291290290290290290290290290290290290289290289289289289289289289289290290289289289289289289289290290289290289289290290290290290291291291291291291292292292292292294293293294293293293294294294293293293292292292293293293294294294293294294294294294294294294294294294293293293294294293293293293293292293294294294293294294293294294294294294294294293294294293294295294294294294295295296295295296297296296297296295295295296295296296295295294295295295295296296296296297297296296296296295296297297297297297297295295296295295295296296296295295295296295295295296296296296296297297296296296296296296296297296296296296295296296296295295295295295295295294295295294294295295295295295295295295295295295295295295294294294294295294294294294294295294294294294293293293293293292292292292292292292292292293292293292292292292292291291291291292291292291292291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296298298298297298298299299298299300300300299297295296295294295295296296296296297297297297297296296296297297297297298299300300302301301301301299299298299298298299299297297296296297297296298297295296296294294296295293295294294296295296295295295295295295293294294294293294295295295294294293291291292292292293292293293293292293293293293292291290999999999999999999999999999999999999999999999999999999296297296295296296295296295296296298298299300299300300301301301301302302303301304304304302303304304304303303301303303301302300301301301302301299298300299298298299298298298298298298298298298298299298299300300299298299299300300301300300300299301301301301300300300301302302302302302302301301302302301301301301300300299299298298299299300300300300301301301300300301299300299298299299299300300299299300299301303302302302302302301299299299298302301297297299299299296295295295294294294294294293294294293294294294294294294294292293292293291292292293292291291290290291290291290290292291290291290291290291291291290290291289290290290289289289288289289288288289289290290290290290290290291291291292292292292292292292291292292291291291291290291290290291291291291290291292292291290291289289290290290290291291291290293292292291292293292292291291291290290290290290290289289289288289289289289289289289289289289289290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289290290289290289289289290290290290291291291291292292292292292292293294293293293293293294293293294294294293294293294293293293293294294294294294294294294294293295294294294294293294294294293293293293293293293293294294294293294294294294294294295294295294294294294295294294294294295295295295295296296294295296297296295295295295295296296296296295295295296295296295296296296296296296297296296296297297297296297296296295295295295294295295295295295295295295296295296296297296297296297297296295297296296295295296296296295296296296296295295295294295295294294295295295294295295295295295296295296295295295295295295294294294295295294294295294294294294294294294293293293293293292292292292292292292292292292292292292292292292292292291291292292291292291292291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297296297298298297297298299299299301300299298296295294295294294294295296296295296296297297297297296297298298298298299299300301301302301301300299300298298297297298297296296297296297297297296296296296295294294294293293293293294295295294294295295293293295294293294293294294294293293293294293292292291291292292293292292293292293292293292291290292292999999999999999999999999999999999999999999999999290294294295294294295294294295296297296298300299299298299301302302301301302302301304304303304302304305303303303301302303302301302302302302302301300299298299300299299299299298297298298298298299299299298299300300299300299300300300301301301301301300301300300301300301301301302303302302302302302302302301301301301300300299299299299299300300300299299301300301300300300299298298299299298298298297300298299301302301304303303302302298298299299298301300298297298299299299296295296294294295294295295295295294295295294293294294294293293294293293292293293292291290290291290290290290290292291291291290291290290290290291291291290290289289290289289289288288288289289290290290291291291290291291292292291292292292292292291291292291291291290291290290290290290290290291291291291291290290291290290290292291291292291292291292292292292292292292292291291291290289289289289290289289289288289288288288288289289289289289289289290290290290290290290290290290290290290290290290290290290289290289289289289289289289289289289289289290289290290290290290289289290290290290291291291291291292291292292293293293293293294294294293294294293293293294294293294293293293294294294294294294294294294294294294294294294294294294294294294293293293293293294293293294293293293294294294295294294294295294294294294294294294294294294295295295296295295295296296296295294294295296295295295295295296296295296296296296296296296295295296296296296295297296297296297295296296295295295294293295294296294296294294293294296296297297296296296297296295297296295296296296295295295295296296296295294294294294295295295294294295295295295295295295295295295295295295295296294294294294295295295294294295294294294293293293293293293293293292292292292292292292292292292293293293293293292292292292292292292291292292292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297297298298297298299299299301300299296294294295296295294294294296297296296296296297297297297297298299298299298299298300301302301301299300300299298297297295296296296296296296296295295296295294294293293293292293292292292293292293293294293293293294294293294293293294294293293293293295294293292292293293293293293292293294292292292290291292293999999999999999999999999999999999999999999999999999294294293294294294294294295295297297297298298298299299300300299301300300301301303302301302301300302302301301300300300301300300302302300300299299298298299298298298298298297296297297298298299299298298299299300299298300299299299300300300300301301301301300300300301302301302303302302302302302302301301301300300300300299300299298299299301300299300300301301300301299298298298298298298297297297299298298298299302301302299300301300299299299298304301300297296298297297296295295295295295295294295295296295295295294294295294294294293294294293293291291291291290290290291290290290290291290290290290290290291290290291291291291291289291290290289288289289290289289290289291291291291291291291291292292292292292292291292292292292291291291290290291290289289290290290290290290290290290290291290290289291292291291291292291292292292291292292292291291291290289289288288289288288288288288288288288288288288289289289289289289289289290290290290290290290289289289289290289289290289289289289289289289289288289288288288289289289289289289290289289289289289290290290290290290291290291291291292292292292292293293293294293292293293292293293293293293293292293293293294294294294294294294294293293294294294293294294294294293293293293293292294294293292294293294294294294295295295295295294294294295295294295294294294294294295295295296295296295295295295295295295295295295295295296296296296296296296296296295295295295296296295296296296296296295296295296294294294294294295296294293294294294294295296296296297297296296296296296296295295296296296295296295295295295295295294294294294294294294294294295295295295295295295295295296295295295295295295295295295295295295295295295295294294294294293293293293293293293292292292292292292293293293292293293293292293292292292292292292291292292292291292291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297298298298299299299300300299296294294296296295295293295294295296296297297297298297296297298298299299299297299300301302302302301300299299298298298297297296297296297296295296294294293294293294293293293291291291291292292292292293293294293294293293294293294293294294293292293293294292292292291291291292292292292293294292293293291291291292999999999999999999999999999999999999999999999999999292293293293293292294293294294296296298297296297298299300299302300299298300301302301301301302299301301301300300301300301300301300301300298299299299298298298298298297297297296297298298298298299298299299300299299299299299299299300300301301300301301301300300301301302302302302302302302302302302301301301300300300300299299299299299299300300300299299301301300300300299299299298298299299297296299298299298299300301297297297300298301302302298303301300296299296297296295294295295295296296294294294295295295295294294294294294294293293292291291291290290290290290290290290289290291290288289291290290290290289290290291290290290290291290290289289289289289289290289289289291290290290290290290292291291291291291291292291291291290290291290290290290290289290290289290290290291290290290291290289288290290289290290291291291291291291291290291291291290289289287287288288288288287287288288288288288288288288289288289288289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288289289289289289288289289290290290290290290290290291291291291292292292292292293293293294294292293294293292292292293293293292293293293293293294294294294294294294294294294294294294293294294293293293293293293294294294293294293294294294294295295295295295295295295295295294294294294295294295295295296296295295295294295295295295296296296295295295296297297295296296295296295295295295295296296296295296296296295295295295294295294294294294295296294294294296296296295295295296296296296296296297296296296297296296296296295295295295295294294294294295294294294295295294295295295295295295295295295295295295295295294295295294294294294294294294294295294294293293293293293292293293292292291291292292292292292292293293293293292292292292292291291291291291292291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297296296297298299300300299296294294295295295294293293293294296296296297298298297297298299299299298299298299299300301300300300299299298298298297297297296297296296296296294293293294294294293291291290291291292291291292293292292292292291292292291293293293293293293293293293293292292291292291291292292292293292292293293293294291292293295999999999999999999999999999999999999999999999999293292293293292293294295294295295297296297297296297298298299300301300299298299299301299301302303301301301302301299302300300301300300300300298299299299299299298298298297297297297298297298297298297298298299299299300299299299299300301300300300300300300301301300301301302302303303303303302303302302302302301301300300300300300300300300299300300300299299298300299299298299298298298299300299301300299300299298299302301296297297296297302302302298303297298297298297294295294294295295295295294294295295295295295296294294294294294294293293291291290290290290290290291291291291289289290290288290290290290290290289290290289290290289290290289289290289290290289289290290289288290290291289292290290291291291292291290290290291290290290291291292290290290290289289290290289290290290290290290291289289289289289289290291290290290291290290290290291291289289289288288288288288288288287287288288287288288288288288289289288288289289289289290289288289289289289289289289289289289289289289288288288288289289288288288288289288288288288288289289289288289290289289289290290290290290290291291291292291292292293293293294294294293294294293293291292293293293293293293293293294294294294294295294295294294294294295294294294295294294294294293293293293294293293294294294293294294295295296296295295295295295294294295294294295295295296295295295295295294295294295296295296296296296295295295295296296296297296296295295296296296296296296296297296295295295295294295294294295294293295294294295296296294294295295295295295295295296296296297297295296296296295294295294294294294294294294294294295294295295295294294295295295295295295295295294295295294294294294294293294294294294294294294294294293293293293293293293292292292292292292292292292292293292292292292292292292292291291292292291291291292291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297296296297298298299300299296294293295294294293293293292294295297296296297297297297298298298298298298297297298299300299300299298298298297297297296296296296296296295294293293292292294292292291291291291291292291290292292291291291291291293293293292292293293293292293293293293292292291291291291292293292292292292293293293293292293295295999999999999999999999999999999999999999999999999294293291290290292293293293295294296296297298296297296299299299299299300299299299300298301301300300300301303301302303301301302300299299300300301300299299299298299299297298297297298297298298298298298299299299299300300299299299299300300300300300301300300301301301302302302302302303303303302302302302302302301301300300300300299299299300299299299299298298299299300300297299299300300299299301301300298299299297300299297297298298297298302302302302301297296296296296295295295294294295295294294294294294294295296294294294293292292292292292290290290291290290289291291292291290289289289289290289291291291290289291292290290290290290291289289289289290290290289290289288289290290290289289290290290291290291291290291291291290290291290290290289290290290288288289290290289290290290290289289288288289289289289290291289290289290290290289289290290289289288288288288287287287287287287288288287287287288288288289289288288288288289289289289289289288288289289289289289289289289289289288288289288288289289289289289289288288288289289289289289289289289289290290290290290290291290290291291291292292292293293293293293294293294294294294293293293292293293293293294293294293294294295295295295294294294295295295294294294294294294294294293294295294294294294295294294295295295296296296296295295295295295295295295295294295296296296296295295295295295295295295295295295295295295296295295295296296295295295295295296296295295296295296296295294293294294294293294292294294293293293294294294295295295295295295295295294295296296296296296296295295295295295295294294294294293294294294294294294294294293294295295295295296296295296295294294294294294294294293294294294294294294294294294293294293293293293293293293292292293293293293293293293293293293293292292292293292292292292292291291292292291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297296295297299300299299296294293294295295295294294294294294294295296297297296297298299297298297297297297297298299300299299298297297297297297297295296296295295295295295291291291293292291291291291291291291291291290290290291290291291291291291291292292292293292292292292292291292291291291292291292291291292292292291292292292293293294999999999999999999999999999999999999999999999291293292290291292293293292294295296296296297297297297298299300299299299300299299300299300301302302302300303302301302303301301302300300299299303301300299300299299299299298298297296298299299299299298299298298299300300300300300300300300301301300300300301301301301302302303302303304304303303304303303303302302302301301300301300301299299300300299298299297298298298298299298298298299299299299300300300298298298296294297297297298299298297297301302301300298297297297295294295295295293294294293293295294294294296295295295294294293293293291292291289290289290291290290291291292291290289290289290291291290290290291290290291291290290290290289289289290289291290290291290289290290290289289289289289290291291290290291291291291290291291291290290289289290290290289289290290289289288289289289289289288289289290289289290289289289291290290290289288290289288289288287288287287287287287287287288288288288288288289289289289288288289289289289289289289289289289289289289289289289289289289289288289289289289289289289289289289288289289289289289289289290289290290290290290291291290291291291291291292293293293293293293293293293293292293294293294294292293294294293293294294293294294295295295295295295295295295295294294294294293294293293293293294294294293294294294294294294295295295296295296296295295295294295295294294295295295295296296295295295294295295295294295295294294295295296295295296296296295295295296296295296296295295296296296293294294294294294294293295294294294294294295294294295295296295295294296295295295297297296296296296296295295295295295295294294294294293293294294294293294295295294295296296296296296296296295295295295295294294294294294294294294294294294294293293293293293293293293292292293293292293293293293293293293292293293292292292291292292292291291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297296297298300300298296294293295296296296296295294294294294294296296297298297297298298297296296297297297298298299299298297297297298297296297297296295294295295294292293291291291291291290291291291291291290290290290289289290291291290291291291290291291292292291291291291290291291291290291290290291291292291292291293291292293292293293999999999999999999999999999999999999999999292291291291292292293293293295296297297297297296296296298298299299299300299298300300301301301302301302301301300302301304301301303301300301300301300299301300299299299298298298297298298298298298299299298299298298299299299299300300300299300301301300300301302302302302302304303303304304303303303304304303303302302301301301300301301300300300300299299299298297297298298298297297297300300299300298300301299296297299297298298299298299299300299300300301300297296295296295295295294294293293293294294295294294294296296294295293295293292292292293292291291291291292292291290291291292291290290291291290290289291291290290291290291290289290289290290290290290290290289290290290289290289289289289288290290290290290290290290290290290290291291292289288289290290289289290289290289289288288289289289289289287289289288289290288288289291289290289289289288288287288288287287287287286287287287287288289288288289288288288289289288288288288288289289289289289289289289288288288289289288288288288289289289289289289289289289289288288289289289289289290289290289290290290290290290290290290290290291291291292292292293292293292293293293293293292293293294293293294293293294294293294295294295294294294295295295296295294295294294294294294293293293293294294294293294294294295295295294296294295295295295295294295294294295295295295295296295295295295295294294295295295295294294295295295295296295295295295295295296296296296296296296296296296296296295294294294294294293294294295294296293294295294294296296296296296296296296296297297297296296296296296295295295295294294294294294293294293293294294294294294294295295295295295296295295295295295295295295295295295294294294294294294294294294293293293293292292292292292292293292292292292292292293292293292292292292292292292293292292292291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298296296297299299298296294294295297297295295295294295294295295295296297297296297297297296295296296297297298298299298298297298296296296297295297295293295292293294293293292291292291291291291291291292291289290290290290291290290291292292291291290291291290291292291292290291291290290290291292291291292293293292293291293293293292291292999999999999999999999999999999999999999999999293293292293292293294294296297297296296296296297297299298298299300300299297301300301300301302301301300300301301301301303304302301300301301302300300300299299299298298297298298298298298298298298299299298299299299299298299299298298299300300300299301301301303303302302302303302303303302302302303302303302301300300300300300300299300300299298297298298297296297297297297297296296296299297297297296300298295297296298297296300297299299297299299298299298296295294294293293294294293292294293294293293294294294296296295294294293292292291292291291291291291291291290290290290290291291291291291290291290290289290290289290290289290289289289289290289289290291289290290290290290291290288288288288289289290289289289289289290290290290290290289287999289290290289289289289289289289288288288289289288289288288289288288288287288288289288289288288288288287287287287287287287286287286286286287288287288288288288288288288288288288288288288288288289289289289288288288288288288289288288288288288288288288289288289289289289289289289289289288289289289289290290290290290290290290290290290290290290291291291292292292292292292292292293292292292292293293293294292293293293294294294294295295294294295295295296296295295294293294293294293293293293294294294294294295294295295295295296296295296295295295295295294295295295294295296295295296296296296296296295295296296295296295295296295296296296294295295295296296296296297296296297296297297296296295295294294294294295295294294295295294295294294294295294297296295296296295295296296297296295296295295294294294294293294293294294293294293294293294294294294294295295295295295295295295295295295295295294295295295294294295294295294294294293293293292293292292292293293293292293292292293293292292293293292292292292293292293293292292291291292291292291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298297298297299298298296295295296298298296295295295296295295295295295295296296296296296295296297296296296297297299298298297297296295295295295296295295295293292290291292289290290290290291291292290289290289290290289289290289289289290290289290290290290290290290290291291290289291290290290291291292292293292292291292292293292290290291292999999999999999999999999999999999999999999294295293293293293294296296297297297297297297297298298297298299299299298298299300301301301301301301301299299302300301302302301302302301303303300300300300299299299299299298298299299298299298298299299299300300299299298298299298299300300300300300301301300302302301302302302302302302302303302302302302301301300300300299300299299299300299299298297298297297298297297297297297296296297296296296298298295295296298298295298301298299299297298297297297295296295295293292292294294294292293292293294294293293294295295294293294293291293291291291291290290291291291291290291292290291291290290290290291290290288290290289289290288289290290289290289289289289291290288289289289288289289288288288288288288289289288288289289289289290290290290287287288289290290288289288289289288289288288287288288288288287288287288287287287288288288288289288288288288288287287288287287287287287288286286287288288288289288288288290290289288288288288288288288288289289289288288288288288288288288288288288288288288289289289289289288290290289290289289289289289289289290290290289290290289290290290290290290291292291292292292292292293293292293292293293293292293294293294294294295295294294295295295295295295296296295296295295295294294294294294293293293294294295295294294295295295295295295295296296296296296296296296296295295295295295296296296296295296296296296295295296296295295296295295296296296295294295295295295296296296297297296296296296296296295294295294294294294294293296295296296295295294295295293296296296296296296297296296296296297295295295295294294294294294294293294294293293293294294293293293294294295295295295295295295295295295295295295295295295294294294294294295294294294294293293293293293292293293292293292293292293293292292292292292293292292292292292292292292292291291291291292291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297298298297298298297296296296296298297296296295295295296296295295295296296295295295295296297296296295296296297297297298297298297295295293294296294295294294292292292291291291291290290290291290291290289289290290290289289289288289290290289289289288288288289288290290291290288290290290290291290291292292291291290290291292290290290291291999999999999999999999999999999999999999999999291292999999293295295295295296297296297297296297297297298298297298298298299300300300300299301302299299300301301301301301301302302302303302300300301300300299298298298298298298300299298299298299298299299299299299299299299298299300299300300301300301300302303301301301302302301301301301302302302302301301301300300300300299299299301300299298297297297298299296298299298296297298298298298297297298296297296296297296298299298299297296297297297297296296295295294294293293293294293293293293294294294293294294294295294294293293292292292291291292291291291291291290291291290290290290290290291292291290290290290289289289288289289290290290291290290289291290289289289289289288288288286287287288288288288288289289289289289290290289289288288289290289289289289289289288289288288288288288288288288288288287288287288287288288287288288288288289288288288288289289288288287287287288287288289289288288287289288289289288288288288288288288288289289289289288288288288288288288288288288288288288288289288289289289289289289289290290290289290290290290290290290290289290290289290290290290291290292292292292292292292292292292292292292292292292293293294294292293294294293293294295295295295294295296295295295294294294294294294294294294294294293295295294294295295295295295295295295295295295296296296296295295295295295296295296296296296296296296296296295295295295295296295296296297297296296296297296296296296297296296297297296296296295294295295295294294293293295295295296296297296296298296296296296296295296296297296295295295296296295295295294295294294294294294294294294294294294294294293293294294295294294295294294295295295295295295295295294295294294294293294294294294294294294293293293293293293293293293293293292293292292292292292292292292291291292292292292291291291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298297297298298297297296297297297296297296295295295295295295295294294294295294294295295296295295295296296296296296297297296296295294294294294294292293292291292292291291291290290289290290290290290289290289289289289290288288288289289290289289287287288288289289289289291289289289290291290291291291292292292290290290289291290290292289999999999999999999999999999999999999999999999290293293999294297295294295295296296296297297297297296298298297298298298299299300299299300299299299301302301301301300301302302303301303302301300299299298298298297298298299298298298298298298298298299298298298298297298298299299300301300300300302301301300301302300301301300301301300300300301301300300299300299299299299298298299300300298298298298298299299299297299298297297297297298298297297297296297296298299298298299298297297297296296296297296296295297294294292293293293293293293294294294294294294294294294293294293291292292291291290292292291290291291291292291292291289290290290290291291290290291289289289289289289290289289290291290289289290290290289289289288288287287288286288287287288288288288288289288289289289289289287289290289290289288289289289288288287287287288287288287287287288288287288288288288288288288287287287287288287288288289289288287288288288287287287290289289288287288290289289288288288288288288288288288288288289288288288288288288288288288288288288288288289288289288288289289289289290290290290291290290290290290290290290289289290289290290290291291291291291292292292292293292292291292292293293292293294294293293292294294293295295295295295295295295296295295295294294294294293294294293294293294294294294294294295295295296295295295295295295295296295296296295295296296295296296297296296296296296296296297296295295295296296295296296296296297296297296296296296296296296296297297296296296296296295295295294294294295295295296296296296296295296296296296295296295296297296295295296296296296295295295294294294294294293294294294294294294294294294294293294294294294294294294295295295295295295295295295295295294294294293293294294294293294293293293293293293293293294293293293293293292292292292292292292291291291291292292291291291291291290291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298296297297297298296297297297296296296296295295295294294295295294294294295294295294295295295295295294295295295295296296296296295294293294293293293292291292292291290290290290290289289289290290290289288289289289288288288288288288289289288288288288288287288288290291290291289290289290290290292291290291291290291290291290292292288287287285999999290288289999999999999999999999999999294294999295294294293294294295295296296297297298298298298298298298299299299300298298299298299299302302301301300301302302302301302304301301300300299298298298298298299299299297298299298298299299299299299298299298299299299300300301301300301301301300301301301300300300300301301300300301300301299299299299299299298298298298299299298298298298298298298298299298298297298298298298297296297297296297297297297298297297296296297297296296296296296296295295295294293293293293293293293292293294294292294293294293293292292292291291292292292291292291291291292291291290291292289290290289288289291290290289288288289288290289289289289289291291289289289291290290289289289288288287287287287287287287287287287288288288288289289290289289289289289290288288288289289288288288287287287287287287287287287287288288287287287288288288288288287287288288287288288288288287287287288287287287288289290288288288288288290288289288287288288288288288289288288288288288288288288288288289288288288288288289289289289289289289290289290290290290291290291290290290290290291290289290290290290290290291291291292292292292292292292293293291292292292293292292293294293293293292295294295294295295296296295295295295292294293293294294294293293294294294294294295295295295295295295295295295295295296296295296296296295296296295296295296296295296296296296296297297296296295295295295295294294295295296294295295295295295296296296295296296296296295296297296296296295295295295296295295296297297297296297297296296296294295295295297297296296295296296296296295295294294295294294293294295294294294294295294294294294294294295295295294295295295294294295295294294295295294294293293293294294294294294294294293293293294294294294294293293292292293293293292292292292292292292291291291292291292291291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297297297297297297297296297297297296295294294294294294295295295295295295294295295294295295295295294294293294294295296295295294294293293293293293293292292291291290290290290289289288289289289289290289288289289288288287288288288288288289288288288289289288288289289289289290290289291292292289291291290290288288290289290290290290288290288999999999291293283999999999999999999999291293293999292292292293293293295295297297297298298298298297298297298299298298299297298299301298301302303300301300301301302301302302302301301300300300299299299299298298298300299298299298298298298298298298299298298299300299299300301300300300300300301300302301301298299299299300297300299299299298299299299299298298296298298298299298299299298298297299297298298299298297297298297297298298298298296296297296296297296296296296296295297297296296297296295295296295294295293293291292293292292292293294294295294294293292293292292292291292292291292291291292292292290291291290290290290289290291290291288288288289290290288289290290290290290290290289290290290290290290289288287288287287287287287287287287289288288289289289289290290290290289289289288289289288288288288288287287287288287287287287288288289287288288287287287288287288288288287287288289288288287288287288287288288289289290289289288288288289288287288287288288287287288288288288288288289288288288289289289288288288288288289289289289289289290289289290290290291290290291290290290291291290290290290290289290290290291291291291292292292292292292292292292292292292293293292293293294293293293294292294293295294295296295295294294294294293294294293293294293294295295295294294295295295295296295296295295295295295298296296296296295296295296296295296295296296296296296296296297296295294296295296295294294294294294295295295295295295296296296297296296296296296296296297296297296295295295297295296297298296297296296296296297297296294295293295297295295295295295295296295295295294294294294294294295295295295295295294294294293295295295295296295295295295295295294295296296295295295294294294294294294294294294295294294294293293292293294293293293293293292293292292292291291292291291291291291291291291291291291291291291291291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297297297296296296297298297297297296295294294294295295295295296295295294295295295295295295295294293293293294295295295295295293294293293294293293293292291290291290290291291289291290288288289289289288289288289288287288288287288288288288288288288289289288290290289290289290290290290292291293291291290289289290287289291290289290289287287290999999291292284288999999999999999999290291292292291291292293293293295295297298298298300298298297296297298298298298299298298302299299300300303300300301301301302302303303301301300301300300300299299299299299299299298298298299298298296296297298299299299299299299299299300300300300299300301301300300300299298299299298297299298297296297298298298297297297296295296296298297298298297297298298297297298298299298297297296296296297297296295294295295295296297296296297296296298297296295297296295295296296294294293292291291291292292292293294293294293293293292292292293292292291291292292292291293292292291290290290290290290290290290290290289289290289290290288290289290289290290290290291289289290290289289288288288288287287286287286288288288288288288289289289290290290289290289289289288288288288286287288287287286288287287286286287288288288288287287287287287287288287288287287286288288288287287287286287287287288288289289289289289288288288288289288288289288288288288288288288288288288288288288288288289289289289289289289289289289289289289289289290291290291291291291291290291291291290290290290290290289290291291291291291292292292292292292292293292292293293293293293293292293293293294294294294293294295295295295295294294293293293294294293294294294294295295296295295295295295296296295295295295295295295296297296296296296296296295296296297296295295296296296296296296296296296296296295295296293295294294294296295296295296296296296297296295296297296296296297297297297297297296296296297297297297298297297295297297297296296296296294295294294295294295295295295295295294294294294294294294295295295296295294294294295295295295295294295295296295295295295295295295295294294295294294295294294295294294294294293293293293292293294293293293292292292292292292292291291292291291291291291291291291291291290290291291290291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297297297296296298297297297296295294294294295295295295295296295295295294295295294294295294294293293293294295295294294293292293293294294293293293292290290290289291292291291291290290289288288287288288289289287288287288288288287287289289289289289290291290290289289289289290290291291290290290291291291290289290289287288291291289286285289999999289292288999999999999999999999291292294292292292292294294294295297297299297298300299299298297298299298298298298300298300299299300301300300299300301301302302302302302301301300299299300299300299299300300299300299299299298298297298297298298299299298299299299299299299300300299300300301299299300298297297298297297297297296296297297296296297296296295295295296296297297298297298297298298297298296298297296295296295294295295295295295293296296294296296297296295296297296296295296296296296295293293293292292291291291291291292293292293293293292293293293293292292292291291292293293293293293294292291291291291290289290290289289290290290292291290290288290291290291291292291291291290289288290289289288287287287287287286286287287288288288288288288289289289290290290290290288288288287288287287288287288287287288287287287287288288288288288287287287287287287287287287287287287287286287287288288287287287288288288289289289289289289289288289289289289289288287288287287288289288289288288289289288289288289289289289289289290290290290288288289289290290290290290291291291291291291291291290289289290291291291291292291292292292292292292292292293293293293293293293293293294293294294294294293294294293294293294294294295294294293294294293294294293294295295295296296296296296296296296296296296296296295295296296296297296296298298297296297296297297297297297296296296296296297296296296296295294294293294295294294296296297296296298297296296297296296297296296296297296296296297296296296296296295298297297296296295297298296296295295296294295294294296294295295295294294294294293294293293294294294294295295294294294295294294294295294294295295295295295295295295295295296295294294294295295295295294293293293293293293293293293293293293293293293293292292292292292291291291291291290290290291291291291290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296298297297296297298298297296295294294294295295295295294295295294294294294295294293294294293293293293293293293293293292292291292291291291291291293291292291291291291290290290290290288288287288288288288289289289288288288287287287288288289289289288290290290290289289289288288290289289289289291292291291291290289287288287288289288288287288284287286283999999999999999999999999999291292292292292293293293294294295294297297297299299299300299300299298298299300301299300301300300300301301299299301301303303302302303302301300299300299299300299299300300300300300299300299300299299298299298299299299298299299300300299300300300299299300300299298297297297297297296296296296295295296296296296296296296295294296296297297298297298297297297296296296294297296297295296296297296295295296295296296295295296296296296297295295295294296296295294295294292293292291291292292292292292292292292293293293293293293293293292292292292293293293292293293292291291292291290290289289290289289289290290291290290290290291291291291291291291291289290290291290289288288287287287287287287287287288287288288288288289289289289290290290289290289289288288288287289286287286287288287287288287287288287288287287287287287287287287287287286287287287287286287286288289288288288289289290289289289289289289289288289289289289289288287289287287288289288288289289289289289289289289290289290289290289290290290290290289289290290290291290291291290291291291290290290289290292291291291292292292291292293292292292293293293294293294294293293294294295295294294293294294294295294294294295294294294295295293293294294294294294293295295296295296296296296296296296296296296296296295295296295296296297296297296297296296296297296297297296296297297296296296295296296294294294294294295297297295296295295295295297297296297297297297296296296296296295295296296296296297297296298296297296296296296296294294295294295296294294294296295295296294295294294294294293294293293294294294294295294293294294294294294295294294294295294294294294294294294294295295294295294294294294294294294293292292292292292293293293293292292292293292294293292292292291291291291291291291291292292291291291290291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297295296297298297296295294293293294294295294294294293294293293293293293292292293292292292292292292291291291291291290289289289288288289289289289289290290292291290290290289290289288288287288287287287288288288287287287288288288288289288290290289291291291289290289289290288288289288288289289290289289288288287287288289287287287286284286287289999999999999999999999999999999289290290292293294294999999999999292293296297298298298299298298298299297299301300301300299300300300300300300300300301301301301302302301301300300300299300301300300300302301300299301300300301300298298299300299298298299299298299299299298299299299298299299299298298297297297296296296295295295295295296295297296295295296295295295296296297297296296297297296296297294295295296295296296296296295295296296295297296295296295295297297293293295294296296294294293293293293292292292292292291292292293292293292292293294293292293292293293293292293293292292293291293291292292291290291290290291288289290291291291291290291290290292291291291292291293292290290290291289289289288286287288288287288287288288288289289289289289289288289289289289289290289289288288288287287287287287288288288288288287287288287287287286287287287287286287287287288287288287287287287288289290290289289289288289289289288289290289289289289290289289289289289287288288288289289290290289289289290290289291290291290290290290290289290290290290291290291290291291291291291291291291290290290290292290290291292292291292293293293292292293293294294294294295294294293294295294293293293294293294295295294293294294294294294294293294293293294294294295295295295295295296296296295295295295295295295296295295296296297298296297297297297296295297296297297297297296297296297297296296296295294294295294294295296298297296297296295296295296296296296296297297297295296296295296296295296296297297296295295296295296296295295294294293293294294293293293293295294294295295294293293293293293293293293292293293293294294294294294292294294294295293294295294294294294294294295295295295296295294294295294294294294294294293293293293293293292293292292294293293293293293292291292292292291291291291291291291291291291290291291292292291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296295296297297297297295294294294293294294294294293294294294293294293293293293292292291292292291291290290290288289289288288287287288288288288287288289289289290291289290289289288288288288286285285285285287287287287286287287288287287287288289289288289290287288287289288288287286287288288287286285286288285286285286287286284284284287287286999999999999999999999999999999999289290288291291294999999999999999999293294297297297297297298298298299298298298301301301300298300300300300300300300300302301301301301301300300299300299299300300300300301301300299300300299301300299298299299298298299299299298298298299298298298298298298298298297297297297297296296296295295294294295295294295294294294295294295295296295295295295295296295295296294295295296296296294295295296296295295296295295295295295295294294294293293292294295294294294292293293292292292292292292292293292293292292293293294293293293293293293293293293293293291293293293293292292292292291291292292292292290291291291290290290291291290291291291292292292291292290292292291290289288288287287287288288289288288288288288288289289288287289289289289289289289288289288287289288288288288287288288288288288288287287287287287287287287287287286286287287287287287286287288286287289289289290290289289289289288290290291290290289289290289289289289289289288288288290290289290290290290290290290290290290290290290290290290290290289290290291290290291291290290290290290290290292290290290290291291292292291293293293293293293293293294294294294294294294293293294294294294293293293294295294293295294294295294294294293293293293293295294295295295295296295296295295295296295295295295295295295295295295296296295295296297297296296296294296296296295297298296296296296296294294293293294294294295295296295295296295295295295296296296295296295296297296295295296296296296297296296296296297296296295296295295295295295294293293293292293293294295295295296296295293294294294294294294294293294294294295295294294294294294294294294294294296295295295294296294294294294295295295295294295293293293293294294293293292293293292294293292293294292292293293292292292291291291290290290290290290290291291290291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296296297297296296296295293294294294294294294293293294294292293293293293292292292292291291291291290289289288288288287288287288288288288288287287288288288287289289289290289289290288286289288286286287286287287288288288287288288287287286287287288287289288287287287286287285286287287287286286287287288286286287286287285286284284284285287286999999999999999999999999999999999999289289291291999999999999999999999999294294295296295296297299300297297297299301300301299298299298299300300300300301301300301301301300298299299299299299299299300300300299299300298299298298299299298299298299299298299298298298299298298298297297298297297297296296296296295295295296295297295295295294294294293293294294293293295296293293294294294295294295295295295295297294295295294294296296296295294294295294294293294295294294294293293293294294295293293294293292292292292291292292293292293291292293292293293293293293293293293293292293293291291292292293293292293292292293291292291291292292292291291290291290290290290290291293291292291292292290290290289289289288288287287287288289289289289288287289289289288288289289289289290289289289288289288288289288288288288288288289288288288288287287287287287287288287287287287286287287286286287286287287287287287288289290290290290290290291291290290289290289289289289288288289289288289289289289290288290290290290290291290292290289290290290289289289290290291291290290290291290290290290290289291290290289290290290290291292291292292292292293294293293293294293294294294294295293292293293293292292292292293293294293294294293293293294293293293293294294294295295295295295296295295295295295295295295295295295295295295295295295296296296296296296297296295296296298297296297297297296295296296295295295294295296295295297296296295296296295296296295296295296295296296296296296295294296297296296295296295296296296297297296295295296296295295295295294293293293295295295295295295294294293293294294294295293293293293294295295295295294294294295294295296294294294294295296296294294293294294295296294294294295294294292293293292293292292293293293293293293293293292292292292292291290291291290290290290289289289290291291291291291291290292290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294295297297297297297295293294293294294294294294294293293293293293293293293293292292291291291291289289288288289288288288288288288288288287287288287287287288287287287287288287290289289288288288287287287287287287287287287288286287286285285286287287289290289286287287289291287287287288288287287288287287286287288288287286287284286286286289289999999999999999999999999999999999999999999291290999999999999999999999999999292294999293297297300297298296999999299298300299298298298299299300300301301300301302301301300299299300299299299298299300300300299298299299298299300299299298299299299298298299298298298298298298298297297297296297297295295295295294295295294295295294295294293295293294295293293293293292294293293293292293293293294294294295293294294294295295295293295295295294295294294294293293294294293293292293292293293294293292293292292290291291291291291292291292291292292293293293293293293293293293292291292292292291291291292293291293292292292292291290291292292293292292292291290289289290290291291290292292291291289289290288289289288287287288288287287289289289289287288288289289289289288289290290289288288287287288288288289288288289288287289289289288288287287287287287287287287287286286286286286286286286286286287289289287289288289290290290290291290290290291289289288288289288288289289288288288289289289290290290289289289290290290290288290288290290290290289289290291291291291290291291291290290289289290290290290289290290290290291292292292293293294293293293294294294294294294295294294293293293293293294292292292293294294294295294293293294294293294294294295295295296296297296297296296296296296296295295295295294295295295295296296296296296296296296297296296295297296296297297297298297296296296295295296296295295296296295296297296296296295295295295298296296295296295296296296295296296296297295297295295296295295296297297296296295294294295296295294294294295294295294295294295294293293294293293292293293293293294295295293293294295294295294294294294294294295294295295294293295293294295293295294293294294294295294294293293293294293292293292292293292292292292291291291291290290290291290290289290290289289290290290291290291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295296297296296296294293293294294294294294294293294294294293292292292292292292291291291290289290289288288288288289288288288288288289288287287287286287286286287286287287287287288288287287287285287287287286286285287287286285286285284285286289288288288289288288289289291289287288288287288290288285285286287287288288288286285281284286286287286289292999999999999999999287287289291999999999999999999287293999999999999293294999999999999999297296295999999999299299299299299300300300301300301302301301301301300300301300300299299299300300300300300299299299299299299298298299297298298299299298298299298298298298298297297297297296296295295295295295296295296295294296294293294292293294293294294293293295293294294293293291293294293295294294295294294295294294295295297295295294294294294294294294294294293294294294294292292293293293293293292292292292292291291292292291292292292292292292292293293293292292292292292292292291294292292292292293292292292291292292291292292293292292292292292291289290290290290291291292292291291291289289289289289289288288289290288287288288289288287288288289289290289289289289290289288287288288288289289288288288288288288288288288288287288287287287288288288287286286286286286287286286287287287287289289288289289290290291291291291292291290290290290290290290288288289289289289289289290289290290291291290291290290291290291290289291291291290290290290292291291291291291292291292291290290290290290290290290291291291291292292294294294293293293294294295295295295295296295294294294294294293293293293293294294296295296294294294294294294295295295295295295296295296296296296296296296296296296296295295294295296295295296296296296295295297296296296296296296296297296297297296297296296296295297296296295296296296296297297295296295295295295296295295295296295296296295295295295296296295295296295295295294296296297296297296295293293294292294292295295294296294295294294294294293292293293293294293294293293294295293293293293293295295294294293293294294294293294295294293294294296295293293292294294294293293293293293293294292292293293292293292292292292292292292291292291291291291290290290290290290291290290291290290291291290291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293295296297296296295294293293293294294294294294294295294293293292293293292292291291290290289289289288288287288288288288288288288289289289288287287286287288287287286286285286288288288287288287287287287285286287286286287286286287284285286286287288286288289289288289286287286286286286286285285287286287286285287286285287285284999999283285287286287289286999999999999286287288286289290291999999999999293293296999999999290292999999999999999999296295999999999298299298298299300300300301300300302302302301301301300301300299299299300299300300300299300298299299298298298298298296296298299299298298299298299299298297296296297296295295295294294295295295295295295294295297295294294293293293292293292294294294294294293294295294295295295294294295295295295295295294294294294294294294293294294295294293294294294293294295293294293293292293293292292292291291291292291291291291292292292292292292293292292292292292291291292292291293292292292292292293292293292292293293293292293293292293293291292291290290290290291291291290290291291291289289290290289290290290290289289289288288289289289288288290290289290290290289288288288287288289289289288288289289288289288289288288288288288288288288288288288287287286286286286286286287287287287287288289290291290290291291292291292292290292290290290291290289288289290290290290290290290291291291291291291290290290290290291289291291292291291289291291291290291292291292291290291291289289290290291290290291292291292293294293294294294294295295294295295295295295295295294294294294293294293292292293293295296295296294294294294294295294295296295296296296296296296297296297296297297297296296296295295295295295296296296296295295297295296296296295296295296296297297297296296297296296296296296297296297296296297297296295296298296295296296295295296296296296296296295296296296296297298298296295295295295296296296294296296295294295295292296295296294296295295295294294294294293293293294294294293293294294294294294293294293293294293295293293293293293295293293294294293293296294293293294294293293294293292293292292293292292292292292292292292291291291291291291291290290289290290291291290290290291290291291291291291290290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292295296297296297294292292292293293293294295295294294293293293292292292292291290290290289289288288287288288287288288287287288289289288288288287288285287287288286285286286286287288287288288286286286287287285286286286286286286285284285287286287287287287286288287288287287286287288287287287283285286286285286286285285283283284282281283285286287287287285286999999287287289289289291293291290999999999293296296999999999999999999999292293294294294295999999999298298297298299300300300300299299299299302302302301299300300299299300300301300300300299298298298299297298298297298298296296298299299298298298299298298296296296296295295294295295294295294296295295295294294296293295294293294293292292293293293291291293293292295294294292293293293292295295296296294294294293292294293295293294294294294294294294294294294293293293293293293292293292292292292292291292291292292291291291292292292292292292292292292292292292292292291292291291292291292293293293294293293292292292292292292292291293292291290290291291291291291290290290289290288289289289289289289290291289289289289289289289289287287290290290290289290289289289289288289288289289289289289289289289289289288288289289289289288288289289288288287287287287287286286288286288287287288289291291290291291291292292292291291291291289289291291289290290290289290289289290291291292292291292290291290290290289291289291292292291290290290290290290290290291291291291291291290290290291290290291290291292292293293293294294294294294294294294295294295295295295294294293294294294293292293294294295295295295295294294295294295295294295296296295296296296296296297297297297297296295296296296295295295295296296296296296297296296296297296296295296297298298297297296297296297297296297297296297297297297297296296296297297296295295297296296296296297297297296296295296294296295297297297295295294295296295294296296295295294295295293295296294296296295295295294294294294293293292293294294293293292294294293293292293293294293293293292293293293293293293295293294293293294293294294294295295293292293293293293294293293292292292292292292292291291291291291291291291289289289290290291290290290291291290291291290291291290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291296297297297296293292291292293293293294295295295294292293293292292292291290290289289289288288287287287287287287287287287287288288288287288288287287287287287285286287285286286286286285287286286286286286285286286286285285285286284285285286285285285286285286287286288285286286286284286286285285287286286286286285286285284282282282282285287288286288286285283284286287289290291292294292288290999999999295293294999999999999999999293292295295295295999296296298298297298299299299300300299299299298300301301302300301300300301300300302301301300299298299299298298298298297298297297297298298298298298298299298298298297296296295295294294295294294294295295295295295296295294294294293293292291291291291293291291292292292293292293291294293294292293294295296293294294293294293295294294293293293294293293293293295294293294293291291292292292292291292292292291291292291292291292292292292292292292292293292292292292291292292293292291292291291292293293293293294293292293292292292292292292293292292292291291291291291290290289289289290289289289288288289289288289290289288289289289289287999288290289290290290289289289289289289288288289289289289289289289289289289289289288288288288288288289289289289287287287288288288288288288288288288288288289291292291292292292292292291292292290290290290289289290289290290290290290291290291292292291292291291289290290289289290291292292291291291290291290290290291289290291291292291292291290291291289291290290291292293293294294294294294295294295295295295295296296296294295295294295294294294294295295295295295296295295295295295294295295295295296295295296296296296296297297297297296296296296296295296295296296296296296295297297296296297297297295296296297297298299297296296297298296296296297295296296296297295296296295296296295296297296295296296297296296296296295295294295294296298297295295294294294294295296296295297294294296292294295294296295295295295295295295294294293293292293293293294293293294294293292292293293293293292293294293293293293293293294294293293293294294294295295295293293293292293293293292293293292292293293293291292291291292291291291291290290290289290289290289289290290290290290290292291291292291 999999301300298297299299296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295298298295294292291291292293293294294294295295294294293293292292291291291290289289288288288287287287287287287286286287287287287288289288288287286287287287286286286284286285284285285286285285286286287287286287286284287286286286286286287284285286287287287286286287286288285286284285286285285285285285284285285285285284283282282999999999999999999999286284287289288288290289999999999288291294999999297293292293295294999999999999999291294296296296296296298297297298298298298299299298298298299300299300300299299300299300300300301300301300301300299298299299299299298297297297297297298298298298298299298298297297296295295296294294295294294295295294294295295297296293294294293294292291291290289290290291291290290292290291291292293292293294293292294293293292293294293291294294293293294294294294293294294295294293294293292292292292292292291291291291291291292292293293292292292292292292292292292292292292291292292292292291292292292293292292294292293292293293292292292292292293293293292292292292292291291291291290290291291290291288289289289288288289289290289290290289287999289288289290290290290289289289289290289289289289289289289289289290289289290290290290289290289289289289289289290289288288287288288288289289289289289289289290290292291292291292292293292291292291291291290289289289288290290290290290290291291292293292292292293290291291291291292291291291291291291291291290290290290290291291292291291291291291290291290291291290291292292293293294294294295295296296296294294294295295296295295294294294295294293294294294295295295295295295296295294295294294295295296296296296296296296297297296297297296296296296295296295295295296295296296296297297296296296297296297297297298298297297296297297295296297295296296296298297296295296294297296296295297297297296296296296297297296296294294295295295294296298298293293293294295297295296295295294294292297292291295293294296296295295294294294293294292293293293293293293293293294294293293293293293293293292292293292292293293293294293294293294294295294295295294294294292293293293293292292293292292292292293292291291292292292291292291290290289289289290290289289289290290290289290291292290291290291 297298297297296297297295297295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292295297295297293293291291292293293293293294294295293293292292292291290290289289289288288288288288287286286286286287286287288288288288289287288288287287287287286286286285286285285285285286285286285286287287287286287286286285285286284285286285287287286286287284285285285285284284284284285285285285285285285285284287287284284283283288290999999999999999999999289290289287289289999999999290291294294999999293292291293293999999999999999290292294294295297298298298298298298298298298298297297298298299300299300300299299300300300300301300300301301300299298299299298298297297297298298298297298298298297299297298297296296294294295294293294295294295294294294294295296295294295293292293292291290290289289290290290290289290290290292291291291292291293293294293293293293292294294295295294294294293294293293294293294294295294293293291292292292291291291291291291291291291292292291292292291292292292292293293292292292292292292291292293292293293292293293293295292293293292292292293292292293292292292292292292292291291291292292289289290288289288288289289289289289290290290289288999999289289290290290291290291290290289290290289289289289289289289289290289289290289289289289290290290290289289289290289289289289289289289289290290289289289290290291291291292291292291292291291292291291290290290289289289290290290290290290291291291291291292291290291291290291292289292291291291291289291292290290290289289290291291292290291290292291292290291291291292293293293294293294295292295296295295294295295295295295295295295295294294294294295294295295295295295295295296296296295295295294294296296297297295297296296297296296296296296296296296295296295295296295297296296297297296296298296296297297297296297297297297296298294296296296297296295295297296296296295296295296295295297297296296296296296295295295296295297296297296297298297295294295296295296293297295295296294296295292296295294294296294295294294295293293294293293293293293293293293293294294292293293293293293291292292292292293292293292293293294294294294294294294295294294294294293293293292293293292291292291292292291292291292291292291291290290290288289289289290289290290290290290290290290290290290291291 296297297296295293297293295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294296296297296295291291292293293293293294294294292293292291291290289289289289288287287287287287287286286286286286286288287288288287288286288287287287286287285285284284285284286286286285286285286286287286286286287286286285286286285287286286286285285286286285283283284285284283283283283284284284284284284285285285286285284284284287289999999999999999999999999286292291291290291999288293291291288999999291292291290293291999999999999999293293293293297298299298298299298298298297297298298298299300301300301300299298299298300301300300301300301300300299298299298298297298297299299296298298298299298299298297296295295294293294295293294295295295294294293292294296296295293293292292290291291290289289288289289288289289288288289291290291292291292295294293293294292292294293294295294294294294293294294294293293293292292293292292292292292292292291291291292291291291293292292291292292292292292293293292292291292292292292292292293293293292294292293294293293292291292292291293293293293293293293293293292292292292291291291290292291289289289288288288289289289290290290290289289289289290291290291290290289290290290290290290289289290290290289288289289290289289290290290290290290290290290290289289289290289290290289289290290290291291291291291292292291292292292292292292292291291291290291289289289290291291291291292291291291291292292291291291291290292292292292291291290290289290291291290291291289291292291290290291290291291291291291291291292293294294293294294295296296296296296295295295295296296295295295295294294294295296295295294295295295295295296295294295295295295294295297297298297296296297296297296297296297297296296295295296296296297296296298297296298297297297297297298297297296298297295296297295296296296297296296297297295295297296296294295295295295295295296297296296294295295296295295296297297296294294296294295296295296296295295293295295294293294293293292292292293293293294294293292293292292294293293292293293294294294293292293293293292290291292293291293293294292293293294295294294296296295294294294293293293292293292292292293292292292292291291292291292291291291290290289289289289289289289290289291291291290291290290291290291291290 999296294295295294295295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289293295297297295294291291290291291292293293293292292292291290289289289289289288287286287286286285286285284284285286285287288288287289289288287288287286286285285286286284285285284286285286286286286287287285285286286285286285285286286286287286286286286285285285285284283284284284283283283285284284285284284285284286285285285285285285289292285999999999999999999289999291292294292291289290290288289291290292291292292294296999999999999999290293293297297299299299299298297298297296297297297297299300301301301300299300300300300300300299300300300300300299298298298298298298298298299298299299298299298298298298296295295294293294294294293292293294293293292292294294295294293292291291291290291291289288290290290290290289289289289290289290290293293294293291291292293293294294294294294295294295294293293294293292293293293293293292292293292292291292291291289290291291291294292292292292293293292292292293292292292292292292291291292293294293293293294294294294292293293293293292292293294294293293293293293292292292292291292292292291290289292290290289289289290289291290290290291291290290290290291290290290290290290291291290288289290290290289288289289290290290290289289290290290290290291290290290290290290290290290290291291292292291291292292292292292292293293293292292291292291291291291291290290290291291291292292292292292292291290291292292292290289290291292291292292291290291292293292292292292291292291291289291291292292292291292293293293294294294293295295296295295296296297296296296296296295295295294295294295294295296296294295296296296295296296295295295294294296295295295296297296296297296296297297297297297297297297296295296296297297297297297296296296297297297297298297298298296297296298297295296294295296296296295297296296296295295296296295296295294295296295296296295294296295296298297296296295295294294293294295294294295294294294294293292293294293294293293292293293293293293293292291292292294293292293293293293293293294293292292293293294293291292293293292295294294294294294294293293294294295295295292292293294293293293293292292292290292292291292291291291292291291290290290290289290290289289289290290290290290290290291290290291291291 999293294296297297297296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291294295296292291290290290291291291292292292292290290290289289289289288287287287286286287286285285286285285285285286287287288287286286287287287287287286286286287286286284285285286285285286286286286286285285286286286286286286286287287286286285284286283285283286285284284287287282283284284283284284285283283284286285285284285285286288291286999999999999999999999999292291290290290287289288286291290291294293290999293293999999999999999999999293297297298298297298298297297298297296298298297297300299300300299299299300300301300300300299299300300300299299298298298297297298298298298298299298299299299298298297296295294294293293292292292292292293293292293293292293292293292292291291289290290290289289289289290288290288289289290288289289291290290291291292294293293293295293293294294294293293293294293293292292294293293292293293294294293293292292291289290292292291293294292293293294294292293293295293293292291292292292292293294294293293293294293294294293293293293294292293293293293293293293293293293292293293294293292293291291291290292291290290289291291291291289290290290290290291290291291289289289290291290290290289290290290290289289290290290290290290290290290290291291291291291291290290290290290290290291291291291292292292291293293293293292293292293293292292292291292292291291291291291291290292292294293291291292291292292293293292291291291291292291293292291292292292293293292292292291291289292291291293293291290291291292292292294294294294294295295295296296296295296296296295296295295295294295294294294294296296296295296296296296295296295295295295294296297296296295296296297297297297297297297297297297297297296297295297296296297297297297297297298298298298295296295298296297297296297296296296296297296296296296297296296294296296295295296294295296296296296296295294295294295296294295297296296294295293295295294295296295294295295295293293293293294294292293293293293293293293291291293293292291292293293293295293292292293293291293292293293293294292293294293293294295296294294294293292293294294293293293293293294293292292292292292291291291291290292292291291291290290290290290290290290291291291292291290290290290291291291292291291291 999295295298299298296297294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288292296295292290290290291291291291291291291290290289289290288287288287286287287287287285286285286286285285286285287287288288286287286286286287287287287286286286287285287285286285286286286285286286284285286287286284286286286286286287286282284285285284284283285284288284286285282283283283287283284283283283284284284284282282284285286291289288999999999999999999999292295292293288288287288288288291290289290290290292294293292999999999999295999292294295296297298298297297298296297297298297298298299300299298298299299300300300299300299299299300300299299299299298298298298298299299299298300299298299298298296296295294294294293291291292292292292293293293293293292291292293291291289289288289289290288288288288289290290290289289291289289291290290290291291292292292293293293294294294294294293293294294293291292293292292292292293293293293293292291292292292292292292292294294293292294293293292293292293292293292291291292292293294294294294294293293293293292292293293295293292292293293292292293293294293294293293293292292292294291291292292290292289290289289290289289290290289290290290291290290290289290291291290290290289291291290290289289289290289290290289290290290290290291291292291292291291291291291291290291290291291291292292292293293294294293293293293293293292292292292292292291292291291291291291291293292292292292292291292291293292292292291291292292293292291293292292293293292292292292290292292294292293292292291292292292292292293294294294294295295295297297296295296296296297295295295295295295295295295296295295296296296296296297295295296296296296295296296296296297296297297297297297298297296297297297297297296298297296298297296297297298297297297297297297297296295297297296296297296296296296297296296296297296297295296295295296295296297296295296295293295296296296294294295296295295296295296293293294293295295295295295295296295294293292293293293294291293292293293294293292293293293291293291293292292292292292292293292293294292293293292293293293293293292293294293295294294292293292294294294294294294294294294293292292292292293292292291291290291291291292291291291290290291291290290291291291292291290291291291292291292292291291292 293294294298298299295293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287292295296292291291291291291290290290290290290289289289289288287287286286286287287287286286287285285285286286288289288287288289288287288288287288286287287286285285286287287287284285286285285286284285284285287285285285286286285287286285285285284284284285283284284284284283282282283283282284284284284284284283284284283283284284286286290292293999999999999999999999291294289292290288286289288288288289287288289290291291293292292292290292294999290291291294297297298297297298297297297297298299298299299299299298299299300301301300300300299300299300300300299299299298298298299300300300299299300298298298297296295295293294293293292292292292291292292293292293292292292292291290291291290289288289289289287287287288288287288290289290289291290289290290289290291292292293294293293293294294294294293295294294292292292292293292293292294293291292292292292292292292292293294294294294293293292292292294293291293292291291291292292293295294294294293293292293293293292292294294293293292292293293293292293293293294294293292292292292293292291290290290289289290289290291289291289289289289289290290291290290291289290291290290290290290291290290291290289291290289290290290290290290291291292291291292290292291292292292291291291292292292293293293293294294293294293294293293293293293292292292292292292292292291291292291292292292292292292292292292291290291290290292293292292293291291291293293293293292291292290291292291292293292293293293294294293295294293296297295296294296297297297296296296296296296295296296295296295294294295295296297297296297297297297296296296296295295296296297296295299297297297297298297297297299298298297297297298296296298297296297297298297297297297297296297296296297295296296296297297296296296296296296296296297296296296296296296296296296296297296295294295296294295295296295295296294295295294295296295295295295296296294294293294294293294293291293292293293292292293293293293293293295292294292291292293294293292293293293293293293292292294294294293293293293293293294294292293296293293293294294293292293293294293292292293293292291291292291291291290291291291291291290290290291291290290290290291291291291292292291291292292292292292 294294296295295295292292296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292288293297296294291291290291290290290290290289289289288288288288287287287285287287288286287286286286286287286286288288289288288288288289289289288287287288287286285286287286286287286287286286285285282284284284284284286286285285285285285284285287287287288288282284284284283283283284283285285286284283283284283283283284282281282282285286288289292999999999999999999999288294291288287285285288288288289290288288290291290292292292291290291999999999285288290293295296297297297296298297297298298298297298299298299299298299300300301300300300300300300300301301299300300298299299299299299299298299299299298298296296295294294293292292292291292292292292292292293293292292291291291291291291291290288289289287287288287288287289287288288288287289289289289290290291290291292293293293293293293294295295294294294293293292293292292291291292292293292292292292292292292292293294294294293293293293293292293293293294293292293294292292293294293293292294294293294293293293293293294294293293293292292292293293293294293294293293293293290292293292291290290289289289289290290291291291290289289289289289290291291289291291289289290290291291291291291291290290290290290290290290290290290290291292292292293292291292292293293292292293293292293293293293293293294294295293294294294294293292294293293293291292292292291290291291291292292292293292292292292292291291291290291292292292292294291292293293292293292293292291292292290292292294293293294294293294294295296296296297296296296295295296297296295295296295295295296296296296294294294295296295296296297296297297297297297298297297297295296296296297298297297297297297297297297298298297297297297298297297297297297299297298298299298297297298296298297295296296296298296297298297297296295296297296298296297296296297296296296296296296296296295295294294296296295296295295294294296295293295295295296295296295293295293294293294293293292294293292292292294293292292292293293294292293295293293295295294294293292292293295293293294293293295294294294293293294293293293294296294296294293292293293292293292290291291291292290291291290291291291291291291291291291290291291291292290291291291291291292291291291291291291292292292293 294293294293295295294294292999293298297999999999296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300290295298296294291291290291291290290290290288289288288288286287286288288287287288288288288286287286286288287287288287288289287288289290290289289290289289287288287286289288287289288288287286284288283282286284284285286285287286286286286284284286286288288287287284283284284283282282286286283283283284283282281282283282282280281284285286287286290284999999999999999999287289288286285283287288288288289290290293291291291291291291291289290291999999282284284291294292296296296296296297297298297298297298297298299298298298300300300300300300299300300301300300299299300299298298298299299298298298298299299297297296294294294293293292292292291292292293292292292293292292292292291290290290291290288288288289288287287288287288288288288289289289287289290291290290290291292292292293292293294295294295295295294294293293293293293291292292294293293291292292292292291292292293293293293294293293295294293293293293294292293294293293292292293294293293293294293293293293293294294293294293294293292293294294294294293293293294293293292291292292290291291290289289291291290291291291291289289289289289290290290290289290289289291290291291291291291291291290290290290290290290291291291289290291292292293292291292292292293293293293293293293291294294294294295295295295295294294294293293294293293292293292292292291291291291291291292293292293292292291291291291291292293293293292294292293293293293292292292292292291292292292293293293292293293294294295295296296297297297296295295295296295296296296295296296297297296297296296297294295294295295297297296296296297297299299298298297298297297297297297297297298298298298298298298298299298297297297297297297297298297297299299298298298297297297296296295294296296296297299296297297298296296297296296296296296297296297297296297296296295295296295296295296296295295296295294295295294294293294295294296294294294294293294294293294293293292294293294293294294293292293293293292292293292292295293295294295292293293292293294293293292292293294294294294293293293293293292295294294296295292294293293292292293290291291291291291292290290291291290290290291291291291291291291291291292292291291291292291291291292292291292292292293292 294297297295297296296294293293292291292293292293292295293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292296298295293292291290290290290290289289288288288288288287287287288288288288288287288287287287287287286286287288288290290288288290288289289288288288289288289289289288288288289290287285286285287284284285286284283284284285286284288287285284286286287287288283284282284284285284283286285282283284283283283282281281281280280282282284285288289285283999999999999999999286288287285285999288289287288288292291293292291293292290290290999289291285999281281291292293295296296297999295296297297297296298299297299298298298299299299300299299299299300300300299299299299299299299298297298298298298298299300297298297295295294294293292292292292292292292293292292292292292292292292291291290290292290289289288288289289289289290287287289289289290291290290290290291289290291291291291292293294293295295296296296295295294294293293292292292292293292292292291292291292292293292291293293294294293293294294293292292294294293293294292294292292294293292294293293294293293293293293294295294294293294293295294294294294293293293293294293293293293291291289290292291291291290291289291290291291290290289289290290290289290289289290291290289289290291291291291291291290290290290291291291291290289291292292292292292292293292293293294294294295294294296295295295295295296295295295294295294293294293293292292292292292291294291291292292294293292293292291293293292291292293293293294294294294292293293293294293293293292293292292292293293294293293294295294294295296297297297297295295295296296296296296297295295295295297297297296295297295295295296296296297297296296298297300300299299299299298297298298297297298298298298299300299299298298297297297296298298297297297298297298298297298298297298297296296297297297297297298297296296296297297299297297297296296297297297297296295295296296296295295295295296295295294296295296295296295295294294294296294296297294294294293294293293293293293293293293293293293293293294293292292291293294293293292292296296295294295296292292293293293293293293293293292293293292292294293295295295294295296294293294292292291292293290293292291290291291291292291290291290291291291292291292292291291291291291292292293291292292292292292292291292292292 293296296298296296297294292292292291291291291291292292293292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293296297295293292291290290290290289289288288288287287286287287288287287287288289288289288288287287286285287286287287289288290289288288288288288287288289288289290290289289288289288289289289289285284285285286284285286284285287287287288289287284283286285284285284283284285284283283282284285284284283284282283283282282283284284283284285288290283283283999999999999285289289287288284999288288288288999292291291290292293296999999291291999291288283281280999999999999999999999999999999296296296297298297299299298299298299299299299299299299299299300300300299299300300299299298298298297298299298299298297297296295295294294292293293292292292292292292292292293293292292290291290290290291292290290289289289289289288289289290288289290289289292291291291291291292290291293290293292295295293294294295295294294294294293293293293292292293292292292292291292291291291292291292292292293294294293293293294292292294294292293294294293293292293294294293293293293293293293293294294294293293293294294294294294295293294293293293294293292293292290293292291289289290291292292290289289290291291290290290290290290290290290289291291289290289290291291291291291291291291291291291291292292291291291292292291292292293292293293293294292295295294296295295295296296296296296296296296295294294294293293294293293292291292293291293291293294293293292292293292292292292293293292294294294293293293291293293293293293292292293293293293293293294293293294295294295295296296297297298295296296296296297296296297295295296296296296297297296296295295294296295297297298297297298299300301300299300300300299298298298298298299300298298299300299299298297297297298298297297296297297298299297297298298298298298296295297297297297297297297297296296297298297296297297296296297297296296295294294297296295296295295295296295295293295295294295295294295295295295295295296295293293293293294293293293293293292292293293294293294293294294294293294294293293294293294295295295296296294292292293293293293293293293293293293295295293294295294295296295296297296294294293291291291293291291290289290289291291291291291291291291291292291291291291291291289289290290291291292291291292292292292292293292293 294297298297295296296293294292292291290290291291290292291291290292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292296297294293292291290290290290289288288288287287287286286287288287288287288289289288287287287287286287285286286286287287286288288288288288288288287289289290288286289290289289288289288289289289282285287286285285284284284287286287288287287287285284283284283284283284283284283283284283284283284284284284284283284283285285285281284286287287284282286287999999999287287291288287999999288288288290999999292290289291292292999999999291291291291286284289999999999999999999999999999999295295295297298297297299298299300300299300299298299299299299300300300299299299299298298298299297298298298297299296297297296295295294293292292292292292292291291292292293292292291291291290289290292291290291290288289289288289288288288289289288290290290291292292291293293292291291291292292293293294294294296294294294294294294294294294293292292293293293293292290292292292291292292292293293293294294294294295290294295295294293293291294293293292292292292293292293293294293293293294293293293293294294294294294294293293293294293294293293293292292293292291290291291292293291290291290290289290290290288289290289290290290290289290291290289289290290290290291291291291291291291292292292293292291291292290291292292292292293293294294293294295296297297297298297297297298298297297296297295295294293293294293293293292292293292293293294294293294293293292292292292292292293292294294294294293293292292293294293293293293293294293294293292293293293294295295295295296296296297298297296296297296297297296297297297296296296297296296294295293296295296297297298299298298298299299300301301301300301299299299298300300300300299298298300299298298298297297298297298297297297296298298298298298298298297296297296296297297297297297296296297297297298298297297297297297297297296295295296295296296295296296296295296296296296295295294296295294294296295296295294296294293293293293293293294294293293293292293294295293294294294294294293294293293291293292295295295295294292292292292293293292292293292293293293293294293291293294293294295295295293294291292291291291291293293291289290289291291292292291291291291290291291291291291291291290289289289291291291291291292291291291292292292293293 293297298297296296293292291292292292290289290291291291291291290292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292294296296294293292292291291291290289287288287287287286286287287286287286288288288288289288288287287286287286286286286287285285285286287288288288288288288287289287288287289289287288288288288285288290284287286283284285282285283283285286285285287285285284282283283283282286287286283285283282282283285286284286285287287999286284282282286287285283284286288999999283284287287286286287286287288288288289288288288289290291999999999999999290290290290288289290999999999999999999999999999999294295296298297298299300300300300299300299298299299299299300300299299299298297297297298298298298298299299298298297297296295294293293293292293292292292292291292293292292291291292291291290290291292290290289289290289289289288289288289289289289291291289291293293294294291291290291292292294293293293293295295293294295294294294294294293292292291294293293292291292293293292292292292292293293293294295294294293294295294294294293292292293293292293293293293293293293293294294294293293292293293293294294293293294293293293294294294293294293292292292292291291290289291292292290290288288289289290291289290290291289290289290290290290290289289290290290290291291291292292291291292292292292293291290291292292293292292293294294294294295296295297298298299299298297298297297298297297297295295294292293294292292292291293292293293293294294293292292293292292291293293293293293294294294292294293293293294294294293293293293294294294294293294293293294295295295295296296296297297298298297298298299298297297297297297296295296295295294296295295297296297298297298299299300299300302301301301301301302299299300300300301300299299299299299298298299298299298298297298296297296298298299297297298298297297297297297295297297296297298297297297298298298297298297297297297297296295295295295295295295295296296296296295295295294294295296294293296296295296295294294293294292293293292294294294294293292293293293294294293294294294293294293293292295292291292293292293293292292292293295293293292293292293294293292294294292294294294294296294294291294292293292292292291292291291291291292291291290292291291290287288291291290290291288291290291290289289291290291291291292291292292291292292293 296297299298296295294294292291291291292291290290290291289289287287287292289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290293296296295293292292291291292292290288287287287287287286286287286288287287288288287288287289290288286287287287287286288286286286286287288288287287287289289289287288288287287289288290290290285288290286284285284283288284284284284283284284284286286284284282282284286284285284288283284283283282281285284285285285284286999999284285283285284284283284284282284284286284286285285285284285287287287288289288288286288289290999999296298999999999289291289287289999999999999999999999999999999999296297297297299298300300301299299299299298299299299299299299299299298298298297297298298298298297298298297297296296295295294293293292292293292292292292292292292291293291291291291291290291290289289290288289289288288288288288288288289290291291290291292292293292293291291291290291291291291293294293294294296294295293293294294293292292292292294292292293292292293293292293292292291291294294294295293292292293293293293293292292292294293292294294294293293294293295295294294294294294293293293294293294292293293293293294294293294293294293292292292291290291291290292291291290290290289289290291289289289290290290290290289289290289288289289289290291291291291291292292292292292293292293293293293293293292292293294294294295295296296297298299299300299298298299299298298298297296295295293293293293293293293291292291293291292295293293292293293292292292292293293292293293294294293293292293293294293294294293293294295294295294294293293294294294295295294295296295296297297298297296298299299297296298297297296296296297294294295296296296297299297298298299299301300300301301301301301300299298299298300301303301300300300300299298297298298298297297296296296297297297298297296298298296296297296297297297297296297297297297298299298297297299299297297297298297296296295295296295296295294295295296296296296295295295295296295295294295295295294294294293293292293293293293294293294293293294294295294294294295294294293295295294294295294291291293294293293293290292293294292293294292294294294294293294294294293292293294295294292294293293294294293292292291293293294293292291293292292290290289289288288291288289290288291291289290289290290290290291291292292291292292292293293 293294298297295294294294292291291290291291289289288291292289288286289999291295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290294295294295295294292292291291290289289288287287288287286287288288288287287289289289289290290290289287288288287286285289287285286286287288289288287287288288286288288287287289290288289288288289287287288286285286285284284283287284282284284283282284285285285281283291282284288286286283283283282285284283283284284283287287999999999282284279283283283284285284285285285285285285284284285286288288288288288288288288290291999294296297999999999999289288287288291292999999999999999999999999999297297297297298299299299299299299299299298298299299298298299298298298298298297297297298298297297297299297297296296295295294293293293292292291291290291291291291290291291291290291290291289290289289289288288288288288288288287288289289290291291290292292291291292292291289290291289291291292293294293294294295294294293293293293293293292292293293294292293293293292292292293293293291292292293292294295292292293292292292292291291292293293293293293293294294295295295293294294293293292293293293293292293293294293293293293294294294294293291292291291291289291292290291290291290289289289289290289289288290289289289289289289288290290288289289290290291291291291291291291292292293293293293293293293293293292292293294294294295296297297298298299300300299299300300299297298298298297295293294293293294293293293292292291292292293293291292291292292293293292291292293293292292293294293292293293292293293293293293293294293294294294293292293293295296295294294294296296297296297297298296298299296296296296297297297296297298294294294296297297300297298298298298300300300301301301302302301301300299299299300301301302301300300300299299298298299298297297297297296296296297298298298298297297297297297298297298296296298297297298298296298297297298297297297297298297297296296297296295295295295295295296296296295295295295295295295294294295295294295294294294293292293293293293293293294293293294294293295294295294294294294294294292293295296294293296292294294293293290293294293293295293295293294294294294294295294294294292294295295296295295293294293292293293294294294293293292292292293289289289290289289288289289291292289289291292290291290291290291291292292291292292292292292 293293294291293293293294293292292291292292292291290288290290289289290290290292292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289292294294294294294293292290289289289289289289289288287287287288288288288288288289288288290288290289288289288287286285287285286285286286289288289287288286287288289290287285287288290290290288289291287287287288288286286286286286285285283284284282283283283285281285284284285289285284284283283284285283279283285285285284285284285286287288286286284287286285286286286285285285284283282285286288288290289289289291291290290290291292295296999999999288289288289289291292999999999999999999999297297297297297298297298297298298299298298298298298298298299298297297298298297297297297298298297297298298297296296296295294294293293292292292291291291291291292291291290292291290290290290290291290289289290288289288288288289289289289289291289290291292290291291291292290290290290290291291292293295294294294294294294293294293293293293292292292292292292292292292293293292292292293292293293292293295294293293293292292292292292292292293292292292292292293293294293294293294293294293293292293293292292293292293294292293293294294294293291292292292291291290291291290290292291291289290290289291289288289290289288289290289289290290290291290289290290291291291291291291292292292292293293294294293293293293294294295294294294295295296298298299299300300302300300302301299300298297297296295296293294294293293293292293292292291291292291291292292292293294292292292294294291293293293292292292293291292294292294292293293293294294294293294295294296296295293294295296295297295296296297298298299297297297297298297297295295295295296295296296299299299298299300299300301301301302302302301300300299299298300301301302302302301301300299299299299299297297297296297295297297296296297297296297297296296297296297298297297297298297297298300298298299298298296297297298297296298296297297296296296296296296296295297296295295295295295295295294295295295295295294293294293293293294294294293295295295296295294294295296294294293295295293294294295296296296298295293294291293293293292294294295295294293293293294294293294295293294293295294294295295295295294293293293294294294294293293293294292292290289289290290290289289290289291290291291292291291291291291292292291291292292293293293293 290291291292292292290292293293293291293293291289291289291289289289286286290290290291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291288288291294294294293293290290290289290290289289289289288288287288288289288288287288287288288289290290289289289289288287286285285286289288286286289288287288287289289289290288289286289290289289287287287287288288288288287283283287286286284284283285283283285285287288284286284285286287284286283284284285283283283282282285286999285284285284284288286287287287286287288285285284284285285999286285283290292291290290291290291291292291291292294295293999288287287288290290291294999999999999999999298297297298298298297298299299299298298298298297298298298298298297297298298297297297297297296297297297297296297296296296294294294293293292292292291291291291291290292291291290290291290290291290289290289289288288288290288289289289289289290290290290291290291292291289290290290289290292294292292293295296295295294294293294294293294294293292293292292291291293292293292291292291291292293291293291292291291292291293292292291291291292292292292292292292292291292293293293293293293293292293293293293293292292294293294293293294295294294293292293292292292291289290291291290290291289290289289290289289289290289289290290288289290289290291290291290290291292292292292292291293293293293293293294293293293294294295295296296294295294298297299299299300302303301300305303301301300301299298296297296294295295294293294293292292291291291290291291292292293292291292291292293292292292293292293293293293293294293294293292294293295294293293294294294294293295292294295295296297296296296297298297298296297298297297298297296296296297296296296297299298299299299300300299300301301301301300302302302301300300300301301302303301301302301301300299299299298297297298298297298297297297296297297297296297297296297297298298297296298299296297296298298298298297298297298298298297297295295295296296296296296296295296296295296295295294294294294295295295295293294294293293293293294294294293294295295295295296294294296296293294293295293296295295297296296296297295294293292294294292293293295295295294293293294293294294295294294294294293294294294295294294294293293294293294295294294294295294293291290290290290290290291289291292292291292292291292292292291292292292292292292292292293293293 290292291291291290292293293292292293293292292290287289291289288291289287287292292291287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288290292290290290290291290289289290289289289289289288289288289289289289289288289289289288288290289289288288288289289287286286288287287286287287288287289289289289291287289286286285288287288288287287288287288287286288287286290287285284285285286284284285290286287286286286283284284285285284285284284285282284284284283285999288288283284287287288287286287288286285283288286286287286285999999999292292292291292293292291292292293292292291293292291289287287288290292293295296293999999999999298297298297298299298299298298299297298298298297298298298298298298298298298298297297297297297297297298297296296295295296294294293294293293292292291291291292290291291291291290291290291291290290290290289289289289289289290289290289290290290290290290291290291291291290291290290289290289289292292290291293294295294294294294293293293294293293293293292291290292292293292290290291291290291291291289291291292292292292291292290291291291291292291292292292291291292291292292292292293293293292292292293293292293293293293293293293293294293292292291292292291290288290291291290291289290289288288289290290290289289290291291289289290289290290291291291292292292292292292292292292293293293293293294294294294294295295295296296297297296298299299299300302302303303303307306302302301301298299298297296295295295293294294293293293291292290291293292292293292292292292292292293293293293292291292294294294294294293293294294294296295293293294295296295295294293293294295296297297297296296296298297297298298298297298298297296296296297298296298298299299301300299300301300300301301302302301303304302303300300300302302303302301300301301301300299298299298298298297296298298296296296296296296297296298298297296298297298298297298296296298297297298299298297299298298297298297297296295295294295296295296296296295296295296295294294294296295296296295294294293294294295295295294293292294295295295295295295295293297294294294292296295294295294294294296294295294295294294295293294293293295295295294294293294293294294295295295295294293294295294295295293293294294294295294294293295294293293294290291291291291290290290288289290291291291292291292291292292292292292292292292293292293293293 289290290290289289289291291290290291290290289287289286289290289290289287287999291293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287285290291289290290291290290291291291289289290288289289288290289289289289288289290289289290289289289289289290289289290290287287287288288288288289288287289290287289288288289288288288288288287288288288288288289285286288287286286287285284284285285284283284288287286287287285283285287284284284285285285286285285285286285289286286279281284285287287285284286284286287286284285286287286288285999999999293293294294293294296294294294293292291292291290290289289293999295294295293293999999999999294297298298298299298299298299299298298299298298298297297298298297297297297298297297297297297297297297297296296296296294294294293293292293292291291291292291291291291291291291291291291291290289289289289289289289290290290290290289290290290291291291290292290290289289290291292292294294291291292291291292295294294294294293293293293293294294292292292292291290292291292292291291291291290291292290290290291292292292291292292292291291290291291292292292292291292291292292292292293292293293292292292291292292293293294292294294294292293293292291291292291290290290291292290290290290289287288289290290290289290291291291290291293291292292292292292292293293293293293293294293293293294294293295294295294295296296296297297297298298300300301301300303302305302303308304304305304302301300299298297295294293294294294294294294293292292289292292292292294293292293292292291293292292293293293294295294295294294294294295295295294294294294294296295294294295293294295296297297298296297296297297300299299298299298298297297297297298299298297296299300301300300301303303302302302302302301303304304303300300302302300302301302301300301301301299299299298298298297296296295297297297296297296297297297297299298298299299298297297296297297298298298297298297298298298297298298297296296297295296296295295296296296296295295295295295295295296295295295295295294295295295295293294294293294295295295295295295296296296295295297296295295295295295294294294294294295293294295294293294293294293294294295293293295295294294294294295294294294293294294294294294293293295295294294294293294294293294294290291291290290291290290290290290290288290290289289290292292292293292293292292292292292293293 288288290288290290290289289289291289292290288287288288288290291289289290290289289294295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285285284286288290290289289289288289290289289289289290289289289289290290290291291291291291291290291290290291290290289292289290289288287287288288288290290288288290288287287287288288288288288288288288288288288286284286287286286286284286285282283285284283283284285284285283285283283286286285285284286286285285284285286285287289284285289285285287287289288286288285288289289286288288288288286285999999999999291295999296297299297293293292292291291291291289288291295999999295295293999999999999999297296297297298299298298298300298298298298298298298297297297298297298297297298298297297298298298298298297296296295295294294294293292292292292292292291292291291291291291291290290290291291289289290289290291290290290291290290290290290290290290291291292292290291291291290293292292293293291292292292291291292292295294293293293293294294294293293292291292291292292293292292292291291291290290291291291290290291291292292291291291291291291291292292292292292292292292292293292292291292291291292292291291291291292293294293294294293293293292292292291292290291290290291291289289290289289288288290290290291290291291290292291291292291292292292292293293293293293294293294294293293293293294294294295295295295296297297298298299299299300301301301304304304305302307307306307305305305306303301298297297296295297294294294294292293292292291291293293294294293294293293292293291292293294293292295296295295296295295295295295295295294295293294296295296295294294294297297297297297297297297297297300300300299298299297297297297297298299299298298299301300301302301302303302305304302303303303303303302302301302302301301302302302301302302301300299299298298297298297298297297297297297295298298299298299299299299299299296298296296295298298298297297298298297297296297298298297296296296295296295295295295295296296295294295294294295295294295295296295295294295295295294293293293293294295295296296297296296296296294295296296294295295294296295295295295296295295293294294293294293292294295293294294293295294293295294294294295294295294294294294294296296295295296294294294294294292293294294293291290290291291289289290290290289291290291291292291292292292292292293292293292292291292293 290289289290289289289288285289290289290289287286289286289289289288290289286287289290291289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283285288288289288289289288289289287288288288289291291291289288289290290290291291290291290290290291291291291291292291290290288289291291288288287292290292290289289287288290287288288290292288288291292289289285286285285286285285284285287284284284284284284284285285286284286286285285285285285285284286285285285284284286282288287288283286283285287287287288284287287288292287288288290292288286287999999999999999999999999999999291292292292292292291290290289290292999999293294295294999999999999999999295296296297298298298298298298298298299299298298297297298298298297298297297298298298298299298298297297297297296295295294293292291292292292292291291292292291291292290292291291290291291290291291290290291290291291292291290291291291290291290290291290292291291290291292292291291292292292291292292291292291292293294294294294294294294295295293291292292291292293293292292292291291291292290291291291290291291291292291290291292292291292291291291292293293291292293293292293293292292292292292292292292294292291293294294293294294294293291292292292292291291291290290290291290290289289289290290290290291291292291292293292292292292293292293292293293293293294294294294294294294293294295294294295295296296297297298298300300300301301301302302304305306307308306306307307306306306305304303299298297296296295294293293293293293293293294294293294293293294293293293293293291292295294295294295296295295296295296295295295296295294293293294295293294295295293294296297297298297297297298298300301300300299299299298298297296297298297298299298298300300302303302303303304305304303303304303303302303302302302301302301301301301301300302301300299299298297297297297297297297297297296295297298300297299299298299298296298298298296296298298298297297297298297296297299298297297297298297296296296295295295295296296296296296295295295295296296294294296295293294296296295293295294294294296296296296296296297296296295295299297295296295295295296295295294294295295295294293294294292293294294295294296296294295293294294294294294294295295295295294294297295296294295295295294294294293293293293292292290290291289290288289290290291290290291291291291292293292292292292292292292292290292293 290289289289290290288288287290290289288288289289286289288288287288288286286287285286286287288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283285285287287288287286286287288288288288289289290290290290290290289289289289290290290289290289290290291292291290291293292291290291291290290289289289288287289289289290287288287289289290291288288289290289289287290287292287288287285283284284284284284283284285286286285287285286286285285285286285286285285285285284285287288287290290285288288289288289288287287287288293292291292289288293292287287999999999999999999999999999999292291290290292291291291291290291293999999292292293999999999999999999999999296296297297298297297298298298299299298298297296297298298298297298298298298297298298298298297297297297296296295295293293292291291291292291292291292292292291290290291291290291291290291290291291291292291291292292291291292292292291291291291291291292290292292291291291290290292292291291292292293291291292293292293293293294294294294294294293294293294293293292292291291291291290290290291291291290291291291292291290291292292292293291291291292291292292292293293293293293292292292292292292292293293292293292294293293293293293293292293293293293291291291291290290289290290289289290290290290290290291292292292293292292293292292293293293293294294294295295294294294295295294294294294295295297296297297298299299300300301302301302301303305304305306306308306307308308308305305304301299300297297296294295295293294293294295296296293293294292293293292293294293295293294294294294295295295296296295295295295296296297297297296293295295294294293295295295296295298299297298298298297299301300301298298297297298297297296299298298298298299301301301300302305304304303303304303303303303304303301302302301300301301300301301300301301298299297298298297298296297297297296296295295295299299299298298297299298297298298298297297298297297298298297298298296298298297296298298297296297296295295295295295297296296295296294294295295294297295294293294293294295294294294295295295295295295295296296296295296296295295296297296295295296296296296295294295296295295295292294293292293295294295294295295293294293292293293294294294294294294295295295295295296296295295294295294294294294294293292292291291290289290290290289288291292291291291292292292292291292292291292292292292292293293 289289288289289290290288288289288288287286289287286289288288287289288286288292288288287287287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280280282282283285283284284286287286288288288289290290291290290290290289289288289289290289289289287289288289290291290290290291289290289290290292290289290290290288289288288291290290288287287287289290289290290289288288289290290289288288285284282283283283286284285286286286284285284284285286286286285285285284284285285285999284286288287287290289288288292290289288293287288290288291286286285288290286999999999999999999999999999999999291289290289291292289291292290290292295999999999999999999302302999999999999296296296296296297298298298298298299299298297297297298298297298298298298298298298298299298298297297296296295295294293292292292291291291292291290291291291291291292291291291291291291291291291291291292292292292292292292293292292292292292292291291292291290291290291289289290291291291292292292293293292292292292294294294294294294294294294293292293293293293293292291291291291290290290290290291291291290291291291291290291291291291291291291292291292292292293293292293293292292292291291292292292293292293294294293294293293294293293293292293291291291291291291291291291290290290290289291291291291292291292292293292293293293293294294294294293293295296296296295294294295295294294295294295295296297297298299300300301300302302303305304304305306306307308308308306306305304303303301300299295296296295295294294294294296295296297294293294293294293293293293293294294294294294293294294295295295294295294297297296298297297296294294294294293294294295295295297297298298297298298298301298301301299299297300298297296298299298298299299300301302300301302303304304304302303303303303303303301301301304302301299300300300300300301300298299297297297296296297295297296297296297295295296296296297299296296299297297298297297298297298297298298296298299297297297296296297297297295295294294295294295295296295295294294293295294294293294292294293293293293294292293295293295294295295294294296296296295296296294297297295296296296295297295296296295296295295295295293295293294295295295295293294295294294293293293293293295294295294294295295295295296295296296294294295295294294294294293294293293292292291290290291291291291291290290291292292292292291292292292292292292292292292293 290289289289289289289288289289288289289286287288286287288287287288286287284285288285291295287999999999999286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277283281282282281280280280281283285286287288289289289290290291291291290290289289288289289289289289289288288288289290289289289289290290289291291291292291290290289289290290288288287289288288287286286288289289290289290290288287288289288285286287285284283284284285285285286286285286285283283283285286286286285285285284285286286287999288285288289288290287288286290289288288290291285289292287288288287290290289999999999999999999999999999999290288287289290291292291291293292292293294999999999999999999299299999999999999298295295296296297297297297298298298297297297297296297298298297297297297297297297296297297297297296295295296295294293292292291291291291291290291291290290291291292291291291291291291291291291291290292292293292292293293293293292291292292291291291291291290290289289289289290290291292291292292292292292292292293293293293293293293294293293293292293293292292292292293292291291291291291291289291291291290291291292291291290290291291291291293292292292292293294293292292293292292292291291292293292293293292293294293292293293293294294292292292291291290291295293293292290290290290290291292292292292292291292292293294294294295295295294295295295294295295295297296296295295296295295295295296297297297298298300300301300301300301301302304304304305306306304306306305305302303303302299298297296297297296294294294294294295296296295293294293294293292291291292293293293293292292294294294295295295295296296297296296296297298296295294294294294294295295295296297297298297297299297298298298300300300299297301300298299298298298299299300300300300302302302302302303302301303303302302302303302302302302302300299300301299299299299299299299298298298297296297297296296297297297295295296295295297296296296297297296296297297297297297297298297297297298298297298298296296296297295295295295295293292295295295294294294294295294294294293294294294293293294293293294293294293294294294294295296295296295297296295297296296295296296296296296295296296295296295295292293291293296294294295294293293294294294292294294293294294294294294293294295294295296295295295295295296296295294294295294294294294292292291292292292291291291290292292291292292293292292291291292294292293293292293293 291291290289289288288288288288288287289288289288287286288287287286285284285285286286287287287999999999290297286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276276282280281282282283284284287286287287288289290290290290290291290291291291290288290290289289288288288289289289290289289289288288289290290289289290289290290289290291291289288288289289288286287287287286287290289288289289288287286288287286286285285284284284284285285286285285286285285285285285285286286287286285285285286286286287999287287289288287288290288287287288289289292290287288288288288289290293291290290999999999999999999999999293290288288289291292292292290999292293293295999999999999999999297297294294294294297296296296297297297297297296297297297297297296296297298298298297297296297296296297297296296296295295295295295293293292291291290289289290290290291290290290291291291291291291291291290290291291291292292292292292293293293292291291291291292291290290290290290289289290290290290291290291291292292292292292292293293294293293293292293293293292292292290291291290291291290290290290290289290290290292291290291290290290291291290290291291289291290291292291292291291292292292292291291291290291291292291292292292293293293292294293293292292292292290291291292291292293292291291290290290291292291292292293292292292293294293294294294294294294295294295295294294295296294296294295295295295295297297297298297298298299299300299300300300301302303301302302300301304303304302302303301302298299297297297296297294294294293294294295295294295293293293291293292292293293294292292293293294296294295295295296296296297297297298298298298296294294296298294296296295298298298298298297299300300297298302299300297297300299300299297298299299301301301302303302301301302302301301301300301301301302302303303301301301301300301301300299298299299299299299297296295296297298298297297297296296295295295295295297297296297296296296296296297297297297296296296297297297297298296296296296296295295295295294295295294295294293294294294292293294294293294294293293293293292292293292294293294294293293294296295297297297296297297297296296296296296295294295295295295296295294292293292294294293294295293293294295295294293292292293293294295295295294295296295295296296295296296295296296296295295295295295295294293292293293293293291292292293292292293293293293292292293293294294293294294294293293 291289289289289289289287287288288288288288288288287287288288286285286286285284285284286286283999999999287290286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274279281281282284286287287287288288289289289290291292291291291291291291291291290290290289289290289290289286287288289290290289290289290288288290288291289290290291291292290290291289289288288288287286286287286285287289288287288288287287286285285282285284284284285285285285286286286286286286286286286286286287287286285286286288288289999999290291289289290290289288288288287288287291287289288287288289290292293291291999999999999999999999294292291290999999291293292293293292999291294295298999296297999999999295295296296295293293294296296297297297297296297297297297297297297297298298298297297297296297297296296296296296296296296294295295294293293292291290290290290290291291291290291291291290291292292291291291291291291292292292293292292293294294293292291292292292291291291290290290289290289290289290290291291291291291292292292293292292292292293293292292293293292293291291291291290291290290290289290290289289290291290291291291290290289290291291290290290290290291292292291291291292292292291290290291292292292291292291291291291293293293292293293292291292292292291291291292291291293292292291290292293292291293292293293293292293293294294294294295294295295295296295295294295296296294294295295295295296296296296297298298299299299299299300300300300300301300300301302301302304303302302303302302301299298298297297296296295295295296296295295294294294294291291293292291291291293295292292292293294295294295295295296297297296297298299298298295296296296296297294296297297298299298298298297298298299297296300299300299297300297298301298297299300300300300301302302301302302302300300301300300301302302302302302302301301300301301299300299299299300299299298298296296297297296297297298296295296296294294295295298297297297296295295296296297297298297297296297296297297297297297297296296296295296294294294294294295294295294294294293293293294292294293292292292294293293294294293293293293295295295295295296296298297297298298297297296296296295295294294295295296296295295293293293294295296293294294294295295293293293292292294294294295295295296296295295296296296296296295295295296295295294296295294294294294293293292292291291292292292292291293293292292292291292295293293293293293294293293 291290291290289289290288288289289288289289289288286287286288287287287285284283284285285284284285287287287289286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276276279282283284285287288287287288289288289289290290290291290291291291290291290289290289289288290288287287287285288288289290289288288287290289289290290290290289290291290289290289288287287288288286286286286286285285287288286286287287288287286286287285286285283283285284284284286285286286286284287286287288288286286286286286287288288289284999290289289290291288289289288289291288287288289288285289289288290291293291292999999999999999999999292292292999999999999999292292293293999292293295298298297298999999999294295296296295293291290291295297298297296296296297297296297297297298297298298298298296296297297297296296297297296295294294294295294294293292290291291290290290291291291291292292291291291292292292291291290291291292291292292292293293293294293293292292291291292292291290290290290290290290289290290290290291291291292292292293294294293293292293292292292293293292291291290290292291290290291289290290290289289290290291291290289290289290290291291291290290292291291294292292293292293292291291291292292292292292292292291292292292293293293293293292292292293292291290292292292292293293292291291292292292293292292293294293293294295296296295296296296295297296296296297295296297297296295295296296296296296296297297298298299299299300299300299299300300299300298301299300303302302302302301300300300300298298297296296296295295295296296295296295294294292293289293291290291291294293293292292293295296296295296297296296297296298298299297298295295298297297298296297297297299299298299298298298298296297297299301300300299299298301298298298300300299299299302301301302303301301301301300301301301302303303302302302301300299300301301300300299299299299298298297297297297298297297297298298296295297296294296296298297297297297296296296296297297297297296297297297297297297297297297296296296296296295294295295294294294294294293294292294293292293294290293292293292293293294294292292293293295295294296296297297297297297298297297296296296293294294294295293294293295295293294292292293293294294293294294293293292291291291292293291293294294293294296296296296296296296295295296295295295295295295295295294293294293292292292292291292292293292292292291293291292293292293292292292293293293294293 290289290289288289288290287288288288288289288288288287287288287288287286288285286287286286286287282287287287286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278280282285285287287287287287288288288289289289289290290290291290290290290290289290290289288288289288288289288286288287289288287288288288288287288290290290289289289289289289288287290287286287286284286285286287286287286286289286287287287287287285284285285286285283283284284283285286286286286286287288285288288288287286285287287287289289289999999999292290291289288289289289289292289288289289287288288290288289291292289999999999999999999999294288289291999999999999999291293293999999294294295297300299300300999999294295296296294293290290290293296298298297296296297297296297297297298297297297297297297297297297297296296297297297296296295295294293293292292292291292291290291291291291291290291291291292292292292292291291291291291292292292293293294294292293293293292292292292291292291291290290290290290290289289290291291291291291292293293294292292293293293293292293292292291292291291292291291290290290290290290291290289290290291291292291291291290291291291292291291291292292294294294293293293294292292292293293292292292291292292292292292292293293294293293293293292292291291291292292293292292292292291293292293294293293293295295294294296296297296296297297296296296297297297295296297297297296295296296296296296297297298298297297298299299299300299299300300299299299299299300300302301301301300301300301300298298297296295296296296297296297296295293293294293292290290291290290291293294294294293294295297297297296297298297297299298299299296297298297298298299296296297298298299298299299298298298298298297298300300300299299298298300298297301303302301299299302301301301302300301302301301301301301301303302302302301301301299300299300299300299299298298298297296296298298297297297296297297297295295296295296295297297297296296296295296296296295296296296296296297297296296297296296295296295295295295295294295294293294293293293292292293293293292292290291291293292293292292293293293293294294295295295294297296297297297298298297296296295293295294295294294295292295296295293294292291293294294294292294293292293292293294293292292292293294294293296296296296296296296295295296295295296295296296296295295295295294295294293293292292294293293293293292292292293293293293291292294294293293294293 291289289289289289289289288287288288289288286289289289289287287288287286285286286287287285286287283283284999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278278282284285286287287288289289288289287289288289289290290290290291290290290290289289290290289288288289288289289288287289288289288288288287289288289289290290290289289289289288290289290289287287286287286287287287289288287286285288287288287286287287285285284284284284283284283284284285285286285285286286288288288287286286287288288289289290290292999999999289289290287287288287287288288289289289290287288288286288288290291291290999999289289289999999286287999999999999999999290291291999999292293292297297297298297999999999295296295293291291289291293296296298297295296296296296296297297298296296297297297297297296296296296297296296295296296296295294293292291292291291291291290290290290291290291291290292292292292292292291291291291292291292291292292292293292292293292292292291293291291291291291290289289289290290290290290291291291292292292291292291292292292293291291292292292293292292291292291291290291290290291291291291290291290290291291290289290290291291292292291292293293292293295294294294293294293293292293293292293292290291292292292292293292292293293294293294293292292291292291292291292292293293293294294293293292294294295295296295296296296295296297297296297298298299297297296298296297297296296296297298297297297297298298297297298299299299299299299300299298298299298297300300301300299300299298298300299297296296296295295297293296296295294293292293293293290290290291290290293293293294293294294296296297295296297297297298296297298299295295294297298298296296297297299297298298298299298298299297297301300298299299299297297298297298302302301300301300300300299300302302300301302303301301301300303303302302301300300300300300299299299298299297297297297297297298296296295296296296297296296295295295294295295296295295295295295295296296295295296295296296296297296297296295296296296295295295295294293292295293293293294292292293293293293292292292292292292292292292292293293292293293293294294294294295297297298297297297296296295294293294295295295295296296295295295295294295295295294294294294293294293293293294294295294293292293294293296297297296296297296296296295296296296296296298296296296295295296294295293292293292293293294294294293293293293294294294294294294293293294293293293 290290288289290290291290290291291290289289289289290289289288288287286286285285285285286286286287284283286287999999286286999999999999999999999999999999999999999999999999999999999999999999999999999999999999289999999999999999999999281281281283285285286286287289289290290288288288289288289290289290290290289290290290289289288289288288287288289287287287287287287288288287288288288289290289289289290291289290289288290290291289289290289289289289289288288289289288288287287287287287288288287286285286285284283283284285285285285286286285285286287287287286285287287288288288289290289290291999999999999288999999284286288289288288288289290291289290289287286289289288288290999287287288288999999287288999999999999999999291291999999999291292292294295296296297999999999999293293289288289290292294297297298297296295295297296296297297297296295296296297296296296296295295296296295295294294294294293292291291292290291291291291290290291291291290291290291292291291291291291291291291292292292293292292293293293291292291290291292291291290290290290289290290290290290291290290290291292291292292292291291292291291292290291291291292293292292292292291292291290290291291291291291291290289291292292291291290290291291291292292292293293291292292293294293293294293293292292292293292291290291291292291293293293292292292293293293292292291291291291291292292293295293293293293293291292292291295295297295295296296296297297296296297298298298297298298298297297297296296296296297296297297298298298297299299297298298298297297298298297297297298298298299298299298298299296296298297296296295296295296295295295296296293294292294292293293293291292293292294293294294294294295296297296295297297297296297298296298298297294295296295297296297298297298300298299299298297297298298297297296298298298296297297297298299302302301299301301300299298299301299299301300302302301301301303302301301302302302300300300300300300299299300298297297298298298296297296295296297296296296296296296295295294295295295295296294295295294295295296296296296296297297296296295295295295295295295295295294294294294294294294294293293294294293294294293292292291292292292292293293293293292293294295295295295295297298299297297297296295296294295296296296295295295297296296296295295295294294293294294294294294294293294294296295292293293293294296296297296296295296296296295296296296296296297296296296294294293295294294293293294293294294294293293292294293293293294294293294293293292294293294 291289288290291290291291291292292292293292291291289288288289288287287287286285287287287286287287287287288287287287288287287287287287999999999999999999999999999999999999999999999999999999999999999999999999999289289999999288287284285284285287286287287288289289291289289290289289289290289289289289290290290290290289289288288288288287287288287287286285286287285285285287286287287288288289289289290291289290290289290290288290289289288288289289289289288288288288288288287287287286287287287286285285285285285284285286285286286287287286286287287287288287286287287288289290290291290292999999999999290290288286287287288289288290289290289288288290288288288289288288287999284286286287288999288289999999999999999999291292291999999999292294293293295295296999999999999999293292287285288292295295297297297296296296295296297296297297296296296296296296296296296296295295296296295295295294294293293293291292291291291291290291290291291291291290291291291291291292291292291292292291292292293294293294293292293292291291290292291291290290290290290289290290290290290291291291291290291291291291291291291292292291291290292291292291290292292292292292292292291291291290292292292291291290291291291291291291291291290291291291292292293292292292293292293293293293294293293292293292292291291292293292292293293293293293293293293292292291291291291292292292292293294294294293292295292293293293293293294295294296296296296296296297297298298297297297297296295296296297296296297297297298297298297298299299297296297296295296298298297297297296298298298297299298299298295299296297296295295295295296295295294296295295293294292292292294292295292291292294294294295295294295297299297295296297297297296297297296298298296299296297297296297299299298299299299299299297298298298297301298300299298297297297297298299301301303302300301300299299300300301301300301301301301302302302303302301301303302302301301300300300300300299299299299299298299298297297296297297297296297296295296295295295294295295295296295295294296296296295296296295296296296296296296295295295295296295295295294294294294293293293294293293292293293293294292292291292292292291293293293293292293293293295295295295296296297297296296296296295295294296296298296296297296296295295296295295295295295294294294295294294294294295295295294293293293293293295295295297296296296296296295296297296296297297295297297294294295295294295293294294293293293294293294295295295295295295293295294294293293294294294 291291289290290291291292292293293293294293291291290289289288287288288287287287287285285282284286285286287289289288286999999287286288289999999999999999999999999999999999999999999999999999999999999999999999288289288287289288287286287288288288288289289289290290289289288289289290291290290290290291290290290289289289289288288287287287286287287287288286285286286286286287286286288287289288288288289290290288290289290288288288289287292292288288288288287287287289287287287287288287287287287285286286287286285284284285285286286286287287287287287287286287286288287288288289290291999999999999291291290290288287287288288288288288289290289289289289288289287289288287287286286286286287288289289290291999999999999290291291999999999999292294294294296298296295999999999999291291290289289292294296297297297296296296296297297298297297297296296296296296295296296295295295296296295294294293294293292293292292291290290291291291291291290290290290290291291292291292293292292292292291293292293293293294292292292291292291291292291290290290290290291290291290290291291291291292291291290290290291291291291292292293291291291292292292293293293293291292292292292292291291291292291291291291291292291292291292292291292291291292293292293293293293293292293294294294294294293294294294293292292292293293293293294293293294294294293293293292292292291292292293293295294294294294294295294293294294295296295295295296297296296296297297297297297298298296298297297296297296297297298298298297297297297298297298297297297295295296298298296296296296297298298298299299299299298300298297296296296295293297295294295295295296295294294291292290290294293289292294295294296295296295297297297296296296297296297297296297298297297297294296300295298300299299300300300299298298298299299298298297299299297297298297298298297296298300302300301302300300300299301302301301300301301302303302303303302301302301301302300300300300300300300299299298299299299298298298297297296297296297295295295295294295294295296294295294294294296295295295295294295296296296295295295295295296295294295294295294294294294292293293293294293292293293292293293292292293292292292292293294293293293293292295294295295296296296296296296296296296296296296297297297296297295296296296296296297296296296295295296295294294295295292294294294294294294294294295294296296296295296296295296296297296296296297296297296294296296295294293294295294293294295295295295294295295294294295295294295294294293294294295 291290290289291292294294292293295295293293292289289290290289287289289288287288287287286284285285286285288288288288288999999288289288289290999999999999999999999999999999999999999999999999999999999999999287288290290290289289288289289288288289289289289289289289289289289289290289291290291291291290290289289288288288288288288288287287287287286286285286285285286286286286287286286287289289287288288288289287287287288288288289289288290290290289289289289286287289289288289287287287288287286285285286286287284285285284285286285286286287287287287287287288287287288290291291290289999999999293293292290290288288289288288289290290290290289289290289290288288288286286286286286285286286288288289291292999999999999291293293999999295293294294296294295295294292999999289289289291292999291293294296296296296296296297296296297297297297297296296296295295295295295295295294294295295295293293293293292290293292292292291291291292291291291290290290291291291291291291292292291291291292292292292294292293293294293292292291291292293291291291291291291291291291292292291291292292291292291290292291291291291292292293293293292291292292292293292292291291291292291292291291290291291291292291291292292292292292292291291291292292291293293293293293294293293293294294294294293294295294293293292292293292293293293293293292293293294293293293293292291291292293293294294294293294294294295295295296295295297297296296299296296297297298298297299299297296297296297296298298297297296297298296297298297297298297297296295295294296298297296296296295295296296298297298297301299300299297297296296294296295296296296295292293295294293291294294296292292293292294296295295295295295297298298297296297297296296296298297298296296296295297296296299299299299300301300299298298299300301297298296299300296298298299298299297297297300301302301300300300300299302301300301301300302301303303303302302303303301301300299300300302301300300300299300300300300299299298297298297298296296296296295294295294294295295294294295294295296296296295295295295295296296295295295296295294295294295294293295294295294294294294294294293292293293293293294293293292292293292292292294292293294294294294293294294295296294295295296295295296295295296296297296296297296296296296296296296295296293296296293294295295294293292294294294294294295295294295295294296296295296296296296296295295296298296297297297297297295293294294294294294293293293294295295296295295294295294295295295296294294294295294 292291291292292293293293295295296295295295294292290290290289289288289288287287286286288285285286286287287288288289288287285287288290289290288290999999999999999999999999999999999999999999999999999999999999289291291291290290290291291289289290291290290289290290289289289289289290291290291290290290290290289288289288288287288288287287288287286286286286286284286286285286285285286286288287287287288288288288290291289288288289287287287286289288288288288288288288288287287285287287287286286286285285286284284285285284285285286286286286287287287287287288288288289289291289999999999999295295293291291289289289289289289289289290290290289289289288289289289288287286287286286285286286288289290293296999999999999292294999999292293294295297999296299297294292999999289289290292291999290293295295294295296296298298296297298298297297297297297297296296295296296295295295294294295294293292293293292291291291290291290291291291291291291291291290290291291291291292292290291291292292292292294293293293293293292291293292292293293292292292291292292291291291290291291290291291291291291291291290291291291291292292292292292291292291291292292292291292292292292292291290290291292291292292291291292291293292292291291292291293294293293293294293293293293294294294294294294294294294294293292293293292293293293293293293293293294293293294294293292293293293293293292292292293293294295295295296295296296298299300300297296296297298298298298298297297298298297297297298298296297297297297297297298298299300297296297295296295295296297296295296296297299299299299298301301296297298298297297298294295294297295293293297294295294292295294295294295295295296296296296296296297298298298297297297296296297297298297297296296299297298300299299299300300301300299298300300300299300298298296296297296299299299299299300298298300302303304301302301299300301300302302303300301301302302300301301302302301300300299300301301301301300300301300300299298299299299298298297297297296296296295295296295296294295295294295295295295295295295295295295295295295295295296295295295295295295295294294294294294295294294294294293293292293293293293292293292292293293292293292292294295294294294294294292293295294294295296295295296294294296297297296296297297297296297298296296297296296295296296296296295296295295295294294295296295295295296295295295296296296296294295297295297297297297297297297297297295296295295296295293293294294293295295296296295295295294295295295294294295294294293 292293292292293294293294294295295295296295294292291289289289288288290289289288287285287286288287287288288287287288289289285287288288289289290292288289999999999999999999999999999999999999999999999999999289288291290292292291291292291290290292291291291290290290289290290289290290291290290290290289289289288288287287288287288287287287287286286286286286284285285285285286285284286286288288289289287288290289289290288288289290289288287287287287287287287287288289289287287285286287286286286285284285286285285285284284285285285285285286286287287287287287288289290289289289999999999999292292291290290289289289290290290289289289290290289289289290290288289290289288287287286284285286288289290292999999999999290291999999292293294294297999999999999295295293290290289289290291290291999293293294293294296297297298297297298297298297297297297296296296296295295295295294294294294293293293292292291292291291291290291290290291291291290290290290290291291292291291292291290292291292292292294293293293293293292293292292290292293293293292292292292292292290291291291291291290291291292292292291292291291292292292292291292292292292292292292292290291292292291292290290290291292292292292292292292292294294292291292291290292292294294293294294294294293294294295294295295295295294294293293293293293294294294294293293293293293294293294294294294293294294294293293293293293293293294294295296296297296298299300298300298298299299299298298298297297298299299300298299297297298298298298298298296296297298299298296296296296296297297297296296297298299298298300300301301301300299297297297295293296294296294294294294294293294296293295296296295295296298297297295296297297298297298298297298297297297297297298299298298297298298299300301300298299298299297297300297300302301300301297297297296298300299301298300300299300301301304301300301304301300299301302302300300301301301300301301301301301301300300300300299300301300300300300300298299299299299298298297296296295296296295296295295295294295295295295294294295295295295295295295295295295295295295295295296296296295294294293294295293295295295294294294293293293293293292292292293292292292291292293293294294293294295294294292294294294297295295295295297296296297297297298296296296296296297297296297296296297295296295295295295294295295294295296294296297297296296296296296297297296295295295297296296297297296297297297296298297297296297296295295293294296295296296295296296295295295295295296295294295294295293 291293293293294294294294295296296296295295292292291290291290289288288289289287288287287286286287288288286288287288289288289289287288289289291290286288288999999999999999999999999999999999999999999999288289290290291291292291293291291291291291291291291291291291291290290290290290291290290289290289289289288288289289288288289287288288286286286286285286285285285285285286286286287288288288289289289289289288289289289288288289288288287286287287287287286286286286288289287286286287288286285284285285285285286285284285285286286285286286285286286287288288289291290289289999287289290290292290290290292290290290289290290290289289289290289290288288289288289290289289289289286284285286287999999999999999999999290291999999292292294297999999999999999295295294292292290289289289289291293292293295999295296297298297297298298297298297297297297297297297296296295295295295294294294292293292292291292292291291291290291290290290290290290290290290290291291291291289292292291292292292292293294292293293292293292293292292292293293293292292292292292292291291292292292291292292292292292292292292292292291292292291291292291292293292291292292292291291291292292292291290291292291292292292291292292293293292292292291292291291293293292293294294294294294295294294294294295295294294295294294294294293293294294294293293294294293294293294295295295294295294295294294293293293293293294294295296296296298298298298299298299297297298298297298298298297298298299300298298297297297298298299297297297297297297299297295295296296296296297296296296297297298298298299300301298298300300299297297296293294295295293294293293293296293293296296296296296296295294294295297297297298298298298298297297298297298299297297298298297298301298299300299299298299297298297297297297298302302298302299298297298299301299301299299301300301301300302301302302302301300300302301301301299299301301301301301302301300301300299300299299300300300301300300300300299299299299299298298297296295295295295296296295293295294294295295294295295295294295295295295295295295295295295295295294295294294294293293294295295294295295294294294293294294293293293293293293293293292292293292294294294295295295294294295295295295295296295296296296296296297297297296296297299297298297297298297297297296297296295294295295295294296295295296296296296296296297297296296296296296296297297296297295295297297298297297296297296297296296296296295295296296296296296295296296295295295297296296295294293293293293 292293293295296296296296295296295296295294292290290289289288289287288290288288288288287285288288288288287287287287288289289289287288288289289289289288999999999999999999999999999999999999999999999999286288290290290291291291290291291292291291291290291291291290289290290290290290290289289289289289289288288288288288288288287287287287286286286285284285286285286285285286287287287287288289288289288290289290289289288288288288289288286286285286285286287287287286287286286284284285287286286285286285286285285285286286285284286286286285285286288289289290290290290289999289289289291290291290289290291291290291289290290290290290291291289291289290292291290290288288288289288286287287999999999999999999999290291291999999292292999999999999999999999294293293294293291290289290289290292293295298999294296297298297297298299297297297298297296296297296296296294295294295294294293292291291292292292292292292291291291290290290290290290290290290290290291290292291291292291293291291292291292294293293292292291292290291290293293293293293292292292291292292292292292292293293293292292292292292292292291292292293293293293293292292292291292292292291292292292291292291292291292292292292291292294294293292292291292292292292293294294293294294295295294295293294295294294295295294295294294294293294294293294294293293293294293294293294296295294294294294294294294294294294293294295294294295296296298297298298298298297296296297298299299298299298298298298299297298297297297298298298298297297297298298298297296296295296296297297297296296298297297298298298301301298301300300297300294295295295295295294294295295295294296296294296294295294297296296296296298298296298299299298299297298297297298299297296297297297298297299300299297299300298297297297297297297297300302299302300298296298299300301299297298301302303300299302303301301302303301302303301301301299300301300302302302302302301301301300300300300301299301301300301300300301300299299299297298297296295296296295296296295294294294294295296295294294295295295295295295295296296296296297296295295295295294295294294293292292294295294294295294294294293293293294294294294293293294292293294294294294295295295295294295296295295293295295296296297297297297297295296296297297298296296296297297297297297296296296296296296294294295296296296296296296296297295295297296296296296296295296297296297296297296297297297296296297296296295296294295295295295296296296296297296296294294296295296295295294294294294 295293294295296297297297296296295296295295293290289289288288287286285286286286286286287286288287288287287287286286287289289288286285287287288288288999999999999999999999999999999999999999999999999284287288287288290290290292292292291292292291290289290290289289289290290290291289289289288289288288288288288287288288287287287287286287285285285285285285286285285285285286286286286287288287288289288288289290289288288287288288289288286287286287287287287286287286286285285285286286287286285285285285285285285286286285286286286286286286287288288289289290290290287999999290290291291290289290290290291291291290291290290289290290291290289290290291291291291291290290289289290288288288999999999999999999999291290999999292293293999999999999999999999999291292292293292290291293999999294295295297296296295297298297297298298298298298298298297297297296296296295295294295294294293292291292292292292292291291291291290290291290290290290291290290290290290291291292290290291292292292292292292293292293291292292292292290291292292292292292292291291291292292291293292292293293293292291292292292290291292292292293294294292293291291292292292292292291291291294293292292292291291292292292292292293293293293294293293293293293294294296295294295294295295296295295295295295295294294294296295294294293294294293294294294293294294294294294296296295294295294294294295294294295294294295295295294295296296298297297296298297297296296297298299299298299298298298299297298299298298298298299298298298298298298298297297297297298297297297297297298298298299300299300301302299301300299297299296294297296293295296295295297294296297296297297298295296295295297297298300298297299297299299298297298297297298299296297297297298297298300300300298300300299298298298297297298299301302299299298299297298300302299298298298300302300301298303304299301304302304303302300302302300301302302302302302302301301301301301302302302300300301301301301302300299299300299299297295297295296296297296295295295294293294294294295294294294294295295295295294295295296296296297298296296295295295294295295293293294294295295294294293293293294294294294294293294293294294294294294294294295295295295295295294295295294295295296296296296296296297297297297297297297298297296296296297297297297296296296297296296296295295296297297296296297296296296295297296296295296296296296297297297297296296296296297297296294295294296296295295295295296297295295296296295295293294295295295294294292293293293 296293294295296298297298297296298297296296293291289288287287286286286286286288287288287288288288288287287286287286287287287287287287288290288288288999999999999999999999999999999999999999999999999999288288288289291290291290291291291292291290290289290289289289289289289289290289287289288288287286288288287286286287286286288287286286285285285285284285285284285286286285285286287286288288288287288289289289288288288288288288288287287287287286286286286286287286286285285285286286286286286285285285285285285287286286286287287287287287287288288289290290292289999999999290292291293291290290291290292292291291291290289289289289290289290290290290291290289290289290289288289289289289999999999999999999999290291999999292291292999999999999999999290290291290291291291291293296999999295295295999298296295296298298297299299298298297297298297296297297296295295294294294294293293292292292292291293292291292291290290290290290289289290290290290290290289290290291291291290291292290292290292291292292292292292292292291290291292292292292292291292292292292293293293293294293292291292292291291291291293292293293294294293293291291292292293292292292291292293293293292292292292292293293292293294293293293293293293294294293294295295295294294296296296296295295295295294295295294294294294294294294294294294294295294294294295295294294295296296295295295295296296295295295294294295295295294295296296296297297296297297297297297298298298299298298298298298299297298298298298298298298299298298299298299299298298297297298297298298298298299299299299299300299302299298299298297299298298297296298297297297296296296295297297297296296298298298298298300298300301299298297299298299298297299300298299299296296298297298298297299301298297298300299298297298298298297297299300299299302303301300300299299302301301300303300300298305301301301302303302302301301302302302300300303302301302302301302301301301301301300300300300300299300300299301300299298298297296296296295295296296295294294294294293293294294293293294294295295295295295295295295295297297296296296295294295295295295294294294294293293293293293294293293294294295295294294294295295295294294296296296296295295295295294295295295295296296296295295294296295297295297296296297297297296296296294296296296295294295296294297295296296294296296296295294297296296296296295295295295294296296295296295295295295296296296296296294294294296296295296296296296296295295295295295294294294294294293294293293294293296 299297294295297297298297297297296295297296294292291290289288287287287287289288287288289288288289290289289287288288288288288288289288289289288287999999999999999999999999999999999999999999999284999289289289289290290291291291291291292292290291290290289289290289289289291290289289288288288287288287287287286287287288287287287288287287286283285285284285284284285285285285286286286286288288288287288288288288288288288288288288288287287286286285286286285285285286286286285286286286286286285285285284285285286286286287286287287287287287288286287291292291292999999999999290291292293291290291291292291291291290291290288288288289289289289288288289289290290290290290290290288289289289287999999999999999999292291999291292292292290291292292292292291290290290290291290291294296999999999295294296298298296297298297296299298298297297297297297297296296296296294294294293294294293292292292293291292291291290290291290290290290290290290290290290290290289290290290290291291291290290292291291292291291292292291291291290290291292292291291291292291291291291292292293293293294293293292292292293291293293291291291293293292292292291292292292292293292292292292291291291291999292292293293292293293292292292293293293293293294294294295295293295295296296295295294295295294294295294294295294294293293293293294295295294294294295295294294295295296295295295296296296295295295294294295294295295295296296295296295297297297297298298297298298299298298299298299297298297298298300299298299299300299299298298298299298297298298298298299298299299299298299300300300302299300298299298299299299299297297299298297296296297296297297296293296298298297298298299300301297298297297297299299298299299300299299299299299297298298298297297298299300300300298299299298298299299298298301299299297298297300301298297299298299300301301301297299302302301301303304302301302303303300301301302303301301301301301300300301301301301300299299299300299300298299299298298298297296295296295296296296295294294293293292293294293293293294294295294295295295294294294294296297295295295294294293294294296294293293293294294294293292293293294294294295294295294294294294294295294295295295295294294294295294294293295295295296295295295294296297294296295296297297297296296297296296297295295295296296296295296297295296295297296296297297297296296297297296296296296295295295295295295296296297297296296297296295295296297296297297295296297297298296295294295294294294295294294294293293294294294 295296296296296297298298298298297296296295292292289290289288288287287287288288287289289288290289289289289288289289288288287288288288289289290288999999999999999999999999999999999999999999285286287289289288289290290291291291290292291290290289289289290290289290290290290289288288289288288287287287286286287287287288287287287287287286286286285285285285285286286286286286287287286287288288288287288288288288289288289289289289288286287287287287287286286286287286286286286286286286286286286286286286285286286287287287287287287287286288288286290292291293999999999999289289292292292292292291291291291291291291291291289289289288288288289287288288289289289289290289290290289290290290290289999999999999999999287999291291291290290291292292292290290289289289291291291291292294295293999999999297298298296296296295296297297297296296297297297296296295295295294294294293294294293292291292292292291291291291291290289290290290289289289289289289289289289289290289291291290290290288291290290289290291290291291290290290290291291291291291291292291291292291292291292294292292292293293292293293293293292292292291291293292291291292292292291291292292293293292292291291291291292292292292292293293293292292292293292293293294293294294294295295296296294294295294294293294294294294295294294294293295294295294294295295294294294295295295295296296296296296296296297296296295294294295295295295295296296295295295296296296297297297297298298298298298299298299298297297299299299298298298299299299298298299298298298297297300298299299299300298298298298299300300298299300299299299299298297297298298295297296295296294297297296296295298298297295298299299300297297297297297297296298299299299299299299299297298298298298298297298298298299297297298298299297298299300299299298298298299298298298298297297298297297298299299300298299301304303303300301301300301300301301300300301302301300300300300300300300300301300300299299299299298299298298299298298297297295296296296296294295295293293294293292292293293293292294294295295295295295294295295295296296296296294294294294296296293295294294294293295294294294294294294295295296296295295294295295295296295296297297295295295295295294294295296296295296295295295296296297296296297297297297297297297298298297297297296296297297296296297298296296297297295296296297296297296298297297296296296295296295295296296296296297297297296296295296296297297297297297296297298297297296295295295294293294294295295294293292293293293 296294296294295298298299299299298297296295294291291290290289288288288287288288287289290289291290289289287287288288288288287287288288289289288289999999999999999999999999999999999999999999287287288289288289289290290291291291290291290290290290290290290289290290290290290288289288288288288287286287287287287287287288287287287286286287286286286286286286286286286286286286286287287288288288288288288288288288289289289289289288288287287288287287287287286287287287287286287287287286286287287286286286286286287287287287287286285285285287288290290291292999999999999291289290292292291292292292292291291292291292291291290290289289289289288287289288290290289289290289291291291291291290291291289290999999999999999291291292292291291291291290291291291291290290291292292292294294295999999999999296299298296295296296296297297296296297297297297297296296295294295295294293292294293292291291292292292291291291291290290289290290290289289289289289289289289290290290290290290290290291289290290290290291291290290290289290290291291291291291292292292292292291292291291293293293293293293293293294294294293292292291292292293292292292292292291291292292292292292291291291291292292291292292292292292293292291292292292292292292293293293294294295295296295295294294294293293294294295294294294294294294294294295293294294294294294294295295295295296296296295296296296295296295295294295295294294294294295295294294295295296295296297297297297297297297298298297298298298297298298299298298299298298298298298298299298298297298298298299300300300299299300300300300298298298298298299298298299297299298297294297296298297297296296296296294297295297299299297298296297298297297296297298301297298298299297296299298299299298299297299299300300298299298299299298298299300300298299299300297298299299298297297297299299299300301300298300304303303302300302302302302301300302300301301302302301300300300300300301301301300300300300300299298298299299298300300296297296297296295297296295293294294294293293293293293294293294294295295296295296295295295296296296295295294294295293294295293293295294293295295295294295294294296296295295296295296295295295296296296296297296296295296296295296296296296296296296296295296297297297298296297297298299298297298299298298298298297297297297297297297298296297296297296296297297297298298297297296297295296296297296296297297296297298296296296297295296296297296297297297296297298298295295294294294293293293293293294294293292293293294 297296297297297298298298298299300296296295293292291290291289289289289288288288289288289291290290290290288289288288289288288289288288289289289289999999999999999999999999999999999290290289288288288289290290290291291291291292291290290290290290290290289290290290291291290289289289288288288287287286286287287287287288287287287287286287287287286287287286286287286287287286286287288288287288287288288288288288288288289290289288289287287287287288287287286287287287287287287287286287286287287287286286285286287288287287288288287285288289289287289293999999999999293290289290291291291291291291292291292292292291291291290290290289290290287288288287289290290290289290291291291292292290290291290291291999999999999291291291293290290290291291292292292292291292292292292293293293293999999999999999300999297296297297297297296297297297297297298297296296296295294294295294293293293292291292291292291290291291291291290291290289289289289290290290290290291290290291291291289291291290290290291291290291291290290290290291291291291292292291292291292292292292292293293294293294293294293292293295294295294294292292292293293294293293293293293292292293293293293292293292292293292292292293293293293292292292293293292292292292293293293294294295295297293295295293295295295294294294294295295294294294295294294295295294295295294295296296296295298296296296298297297297297296295296295295295295294294295294294295295296296296296297297298298298298298298299298299299299299298298298298298298299299299298298299299299299300298297297299299300300300300301299300300299300299300300299299298297299299299297297297296298298297295295296296294294296299298297299298297295299298297295298299299300297299301297297299299299299298299299300299300299298298299297299298297298299300300299299300299298299299299298298298299299301300299298299299303304302302302303303302301301303303302303301303302300300300300300301301301300299299299300300298298298297298298300298297296297296296296296296295295295293293293293293293294293293294294295295296295295295295295296296296294295294294295295296296294294294295294295295295295295296295296296296295295295296296296295296296297297297296296296296295295295295297296296296296297295296296297297298296296296297297296297297298297299299297297297298298297296297297297297297297297297297297297297298297298295296296296296296296297295297297296298297296297296296295296297296297297297297297297295296295294294294294294294294294292295295294292294294 299298299300300299299299298298298297297296295293292293292290290290290290289289289289290289289288289288288288288289288289287287288289289290289289999999999999999999999999290290290290289289288288290290290290291291291291291290290291290290290290289289289289290291291290289289288288288287287287286286286287287287287288287287286287287287288287287288287287288286286287287287287287287288288288288288288288288288288288289290289288287287287287287287287287287287287287287287287287287287287287287286286285284286287287286287288288289289288288289289999999999999288289289289289289289290291291292291292292292292291292292291291290288290290291289288289288289289288287288288290290290292292291290290290291289999999999290291290999999289291292292292292292291292293999291292292293293292292999999999999999999999297296297297297297296297297297297298297296297297296296294294294294294293293293293291292291290290291292291291290291290290290290289290289289289290290290290291291291291291291290290290291291290291290289290290289290291291291292292291291292293292292293292292293293293294294294294294294295295294294294294293293293293293294293293293294293293293293293293292293292293292292292292293292293293292293292292291292291291292293293293293294295295294294295295295295294294293294294292294294294294295295295295294295294294294295295296296295296296297297296299297298298299298296296295295296295295294295295295295296296296296297297298298298299299299299299299299299299300298298297297298299298298299299298300299297298299299298297299300300300300301299298300300300300299299301298296296296299299298299298297293298298297298297297294293295295295296296297295297296298300299301299300299299299300300298297298297298299299299299300299300300299298297299300300299297299299300300300298298297298298299299298298298300297299298300299298297299300301302303301300301301301302303301300302300300300300300300300300300300299299299299300298297297296298298297298297296295296295296296296295295293295294294293293293294293293294294295295295294295295295295297295295294294295295295295296294293294294294294295295296295296296296296296295295295294295295295295296296297297297297296296296297296295296296296296297297297296296297297297297298297298298297297297297297297298298297298297297298298298298297298297298297297298298298297297297298297297296297296298297296296295298296295297298296298298296296297297296297297298298297297296294295294295295297295296296294294295296294292294294 300300299299300300300301300298298298296295296294293293292291291290290290290290290289290289289288290290288288289289289289288288289290289289289289999999999999999999999288290291290290289289287288289290290290290291292292291291290290290290290288290290289289290290290289289289288288287287287286286286286286286287287287286286287286287286287287286286287287287287287287287287287287287288287287288288288289288288288288289289289288287287288288288287287287287287287287287288288287287287287287287286285284285285287288284287287289291292292291289999999999999286289288288287288288290291292292292292292292292293292292292292289290290291290290290289289289290289289288287288289289290292292292290289290291290288287288290290289289290289291292293293292292292292293294292291292293294293293999999999999999999999296296296296297296297296296296297297297296296296296295295294294294295293293292292292291290291290290290291290290290290289290289290289289289289290290290291290291291291291291290289289290291290290290289290290289291291291292292291291291292293293293293293293294293293293294293293294295294294294295294293293293294293293293293292292293292292293293293293293293293292292292292291293291292291292292292290290291292291292292293293293293294294293294294294294294294294293294293293293296295294295294295295295295295295294294295295295296298296297296296297298298298298297297296295295294294293293293294294294296296297296297298299299299300299299298301300299297299300299299297296298298299299298298299298298299299299299299299300300300301300300298300301301301301299299299300297297296298297298299298297296295294298298297297297297298294295296296296295298298298300298299299298300300300300297296297299298298298298299298299298299299299299300300300299300298298299299300299299299297298298298299299298298299299299300300299298298298300299302301301301300301301301301302301302301300300300300299300300301301299298299299299298297297298298298298297296297295295295295296295295296294295294294292292293293293293294294295295295295295295296295296296295295295295295295294296296296297293294294293294295295295296296296297295295294294295294295296297297297297297297297297297297296296296297296298296297297295296296297297298298298299297297296296297298297298297297298297298298298298298298298297297297298298299298297298297297297296295296296295296296296296296298296295298296297297296296297296296297297297297297297298297294297294296295295296295294295295296295295295296 300301301299301301301300299299298297296296296295293293293292291291290291290290291290289289289288288288288288288288290289288289289289290290290290999999999999999999288290289290290290289289289289289289290290291291291291291291290289289290290290290290290290290290289289289289289288287286286286285286285286286287287287287287287287286287287286286286286286289287287288287287287287287288288288288288288288288288288289288289288288287287287287287287287287287287287287287288288288287287287286286284285283284285286287286287287288289292293293999999999999285286288287287288289289290291291293292291291292292293292291292293290291290289289289290289289289288290289289286286289290291290290290291290290290290289288289289289289289290291291292293293293292293294293294999292293294999999999999999999999999999999999296295295296296296297297297297297297296296296296296295295294294294293292291293293292291291291291291290289290289290290290289289288289289290290290290290290290291291291291290290289291291290290290289290291291291291292292291291292292292293293292294293294293294293293293294294295295295295295295294294294294294293293293293292292292292293292292293293293293293292292292292292292292290292291291292291291291292292292293293294293294294293294293293294294294295294293293294293294295294294295295295295296295295294294295294295296296297297297299297296297298298297296296295295294294294294294294295294295296296296297297299299300299300299299300301300300300300300298298297296297297297298298299299299299300299300300300300299300300300298299301301301301301300299298299297298296296297296299299296296296294294294298297297298298298298298296297298296297297299299299299297299299301300296297298300299297299298300298300299300300299299299299300300300300299300299298300299299299298297298300298297299299298299300299300298298300299298300301302302301300302302301302302302302301300300301300300300300300300299299299298298297297296297297297297296297295295295295295294294294295295295294293293292293292293293293293294295295294295295296296296295295295296296296295294294295294295294295294293294295296295295295296296295295294295295295294295296296296297297297296296296297297296296296296297298297297296296295296297297296297299297298297297298297295297298298298298297298298298298298298297298299298299299298298296297298298297296296297297297295297296296297297297297298296297297297296297296297297298297298297298296297296296296295295297298296296296296295295295296 299300300300300301299299299299299297297296296295294293293291291291292291291290290289290288289288288289289289289288289289288288289289289289290290999999999999999289289289289289289290290289289289290290290291291291291291291290290289289288289289290290291291290290289289289289288287286286286286285285285286286286286287286286286287287286287286286287286287287287287287288287288287288288288288288289288288288288288289289288288289287288287287287286287287287288288288288288288287287287286286286285285283284285286285286286287289290292293999999999999287287287288289289289289289289290292292291291291291291292292291290291291290289288289289289290288288289290289290291289287288289290290291290290291291290289288289289289289289290291293293293293292292292294294295999999293292999999999999999999999999999999999294294294295296296296297298297296296295295294295294295295295294294293293292292293291291291291291290289290289289289289289290289289289289289290290290290291290291291290290290290290290290290290290291291291292292292292292292292292292293293294295292294295294295294293294294295295295295295295294294294294293293294293293293293292292292292292292293293292292292292292292291292291291292292292292292291292291291292292292293293293293293293294292294293293294294293294294294294293295295295295295294296296294294295295295296295295295296299296298297297297297297298297297295295295295294294295296295295294295296295297298299299299300298299299300300300301300299298298297297297296297297298298299298299299299299300300300300301299297298298297297299298298300301300298298298298299297297298298295295293296294294293296297297298297298297295295296296295298298297298298297298297300299300296298299299299298299300300300299300301300299299300297299298300299298299298299299300300298299298299299300300298299299299299298298298299300300299301302301302300301302301301301302302303301301300300300301300300300299299298298298298298298296296297297297296297295295295294295295295295295295294294293293292292292293293293294294295294295295296296295296296296296296295296294295296295294296294295295295295295296295296297296296295295295295294294294296296296296297297296296296297297296296296298297297297297298297296296296297297296297299296298299298298298297298297298298297297297298298298298298298298298298298298298298297298297297297297298297296298297297297297299298299298297296298298299297296296297297298297297297298298297297296296296295298296296296296297298296295293 299301302302302300299298298300299298297296294294294294292293293292292291290290290289289289289290290289288290288289288289288288289288289289289290288999999999999289290289289290290289290289290289291289290290291291290290291291290289288289289290290290290290289289289289289289287287286286286285285285285283286286285286288286286286287287287287287287286287287287286288287288288288288287288288288288288288288288289289288288288288288288287287287287287287288288288288288288288288287287287286285285284284285284286286285288288288289290999999999999287286288288289290289290290290291290291291290290292291291292291291291291291289289290289289290288288287288288288286289289289289291291291290290291291290289288289290290292290290291292294294293291292292294295295295999999999999999999999999999999999999999999294293294295296296296296297297296295296296295296294295295294295294294293292292291291292292292291291290289290290289289289289289289289289289289290290290290290290290290290290290289290290290291290290291291291292292292293293293292292293294294294294293294295295295295294295295294295295295295294294294294294293293293293293293292292292292292292292292293292292292292292292292291291290293292291291292292292291290291291292292292292293293294294294293293293293293293293293293293294295295294294295294295295295295296295295296296296296295296295295296297297297297297298298296296296296295295295296296294295295296296296298298299299300300300300300301300298300300298297297297297297297296297297297298299299300299300300300301300301299298298299298298298298299301298299298297298298297297297294294293293294294294293294294296297293296294295294296295295296299299297295297297298300300301299300300299298298299300299300301300299300299300300298300299301301298299299298299299298299298298299299301299299299298298299298299299298301301301301302303302301301301301302302302302302302301301301301300299300299299299299298298298296296297297297296296297295295295295294295295295294293293293293292292292291292292293294294295295294294295296296295296296297296295297296295295296295295295297295295297297296295297296296296296295295295294295294295296296296297296297297297297297297295296296297297296297297298298297298296297296296298300298300298299298298299297298298298297298297298298298298298297297298298299300298298298299297298297297297297297296296298299298298298297297298297299298298298296296297298297297298297297297297296295295295297296296297295297297295296296295 301304303303301300300299299299297297296296294294293293292293293292293289289289289289289289289290290289290290289289289288288288288288288289288289999999999288290290290290290289289289289289288289289289289290290291291290291291290289289289289290290290290289289289288288288288287287286287286285285285285285284286284286285285285285286286286287286287286286287287288288288288288288287287288287288288288288288288288289288288287288288288287287287287287287287287288288288288288288287287285287286287287287287285285286287287288288289999999286286287287287289289290290290291290290291291291291291291291291291291291291290291290290289288290290290289289289288286288287286289289287288290290290289290290290290289289290291292999295293291295295294292293294295294296296999999999999999999999999999999999999999294293294294295295295296296296296296296296295295295295295294294294294294293293292291292291292292291291290290289290289289290289289289289289290289290290290290290290290291290290290289290289290290290290291291292292293293293293293293293293293294294294294293295295296294295294294295295295295295295294294293293293293293294293293293293292292293292292292292292292292292292291291290290290292291291291292292291290290291291292292293293293293294294293293292293292293294293292293293293295294294294294294295295295295296294295295295296295295294295294295297298297297296296297297296296297296295296295295295295295296296297299299299300299299300299299300300299298298298297298297297297298297297297297297299299299300299299299300301299299299299298298298298298298300298299299299300299298299293294294292293295294294293294294293296293293293294293298299293296297296296294298298299299298297299299299298298300299300301300301299299298300300300297300301301301299299298298298299299299298298299300299298298299301299298298298301299299301302303303301302303303301302302303306303302301300302301300299299299298299299298300298298297297297297296296296295297296295295295295294295293294293294293292292293293293292293294294295293294296294295295296297296296296297296297295296297297294295294295295296297296296296296295297296296296295296295295296297296296297297297297296297296296296296297296296296297297298298297297297296298299297298299299299299298299298298297298297297296296296297298298297297298298298298297297297297297298297297297298298298298298298299297298297297298297296297299296300298297298297297297297297297296297297296295293294296297296298298296297297295297 305303303300300300300298298298297297296295295294294294293292293293292289289289289290290290290290290289289289288288288288288288288288288289290289289289289290291291290290290290291290291290289289289290290290290290291290290291290289289289290290290290290289289289289288289288286287286284286285285285285285285285285285285285284284286286285286286286286286288288288288288287288288288288288288288288288288288288288288288288287287288288286287287287287287288288288288288288288287287286286287287287287287287288288287287287289289999999999287287288288289289290290289290291290291290290290290291291291290291290291290291290290290290288288290288289289289288287288287287287289288288289289288288290291290291290291290289999999999999292293294293292294293999294296295999999999999999999999999999999999999999296295294294295295294295296295296295296296295295294295295294294294293292292292292292292292292292291291291291290290290290289289289289289289289289289289289289290290290290290290290289289289290290290290291291291292292292292292293293293293293294294294293294295295295295294294294295294295295295294294294293293293293293294294293293293293292292292292292293292292293293293292292291291290290291291291291292291290291291291291291292293292293293293293293293292293293294294293294293293294294294294294294294294295295294294294294295295295295294295295296296297296296296296297297297297296296294294294295296295296296296297299298300299300301299298299299299300299298298298298298297297297297296296297298298298298300300300298300300299299300299299298298298298297297298299300298300300299296294294294292292296295295292295291292292292294295295295295294295298298298297296295297295296296297299299299302299298298299299300302301302299299302299299301301298298298298299297299298299299299298298298298298298298300298298299299299299299301302302303304304303303302303301301301301300301300301301299299299299299298298298298297297297296296296296296296295295295295295294294295295294294293294293292292293292293294292293293295293294294294295295296296297296295297296296296296297294295294294296296296296296296297295296297296295296296295296295296297297296297297297297296296296296295296297297297296297295297298299298297298298298298298298298298298299298298297297297297297296297297296297297297297297297297298298298299296297298298298297297298297298297299297297299298298298298298298299298300297298298298297298297297297297298296296296297297298297297297294296297297298297 999305300300300299301300297298297296296295295293295294295294293293293291290290289290290290289290290289289289290289289288288288288288288289289290290291291290291290291290291291291291292290290289290290290291291290291290290290290289289289290290290290290289289289289289288288287286286286286286285286285286285285285284284285284285286286286286286287287286287287288288288288288289288288288288288288287287288288288287287287288288288287287287287286287287287288288288288288288288288288287287287287287287287288288285287287287289999286288287288289289290290290290290289291290291290290290290291291291290289290290290291291291290290289288289289289288288288288287288287285288289289289289289291292291291291293999999999999999999999999293293292293293999999999999999999999999999999999999999999999999999999999999999294293295294295295295295295295296295295294295294294294293293293293291293292292292292292291291291290290290289290289289290290288290289289289289290290290290290290290290289289289289289290290290291290291292292292293292293293293293293294293293293294294294295296295295294295294294294294295294293293292293293293293293293293293293292292291291292293293292292292293292292292291291291290290290291290291292291292291291291292292292292292292292292293293293293294294293293293293295295293293292294293293294295295294295295295296296295295295296296296295296296296296296296297297295295294294294295295295296296296298298299299298298298300300299299299300300298298298297297298298297297296296297296298298300300300301299300301301299300299299298297297298297298298298297298300300297296294294293292296296295295295292293292292292294293294295296296293296298298297295296297295298296297297298298299299298298298299300300301302301300299303299299300299298298297299299299298298297298298298300299298298300300300299299299299299300300301303302304303302302302303301301299299300301300300299299299300300298298298297297298296296296296295295295295295295295295295295294295294294294293293293292293291293293293293294293293293294294293295295296296297297298297298296296296297295296294295297296295296296297297294295296295295295295296296296296297297297297297297296295296296296296296297297297296296296296298298297297299298298299299299298298298298298298298297297296297298297297297297296297297297297297298298297297297297297297299298296299298299298299299298296299297298298298299299299299298299299299299297297297297297298297296297297297298298298297295297297295296296 999999300300299300301299299299298296296296294295294294295294294294293293291291291291291291290289289290290290290289289289289289288288289288289290289290291290290291291291291291291291292291292290291291290290290291291290290290290290289289290289290290289289289289288288288287287286285286285286286285285285286285284284284285284285286286287286286287287287288288288288288288288288288288288288288288288288289287288288287287287288288287287287287287287287287288288288288287287288288288288288287287287288288286288287287288288287288287288289289290291290290291290289290291291291290290290290290290290290290289290291290290290289290289289287288288288287288287287287288287289289289289289289291291291292294296999999999999999999999999291291293294295999999999999999999999999999999999999999999999999999999999999296293293294294295295294294295294295295295294294294294293293294293293293293293293292291292292291290290290290289289290290289289288289289289289289290290289289289290289289289289289289289290290290291291291291291292292292293293292293293293293295293294294293295294294294294294294294295294294294293293293293293293293292293293292292292292291291292292292293292292292293292292291291291290291291291291291291291291291291291292292292292292292292292292293293294294294292293294294293294294294294294294294295295294294295295294294295294295295297297295295295295295295296296296295296294294294295295295295296296296298297297298297297297298299299299300300300300298298297298297297297297297297296297299298299300300300300300299301299299298299299296297298298298298297298299299298298297295294294293296295293293293292293291292292293294294295295297298296297297297297297294294296295296296296296298299299300297298298302299300299298298300301298298298298298298299300298298298296297299299300300299299298300300300300299300301301300301302302302302301303301302301299298300301301300300299299298300299299298298298297297296295295295295296294295295295294294294294294293294294294294293293292292292293293292294293294293294293294294294295296295294295296298297295296296296296296295295297295297297296295297297295295295295295296295295296297298297297298298297296296297296295296296297297296298297296296297298298298298297299299299300299297299296298298297296297297296296297296296296296297296297297297298296298297297297297298298296298297297299298299299300299298299298298298299299299300297300299299298298298297296295297297297297296297298298297298297297297297297296 999999999298298299299299299298299296296295295295294295293294294294294294293292292291292293291291290289289290291290289289289288288288289288289290290290290290290290291290291291291290291292292291291291291291290290290291290290289289289289289289290289289289288289289289288288288286285286285286286285285285284285285285285285286286286286286287287286287286286287288288288288288288288287288288288288288288288286288287288287287287287287287287286286287288287287287287288288288288289289288288288288287287288288287287287287286286999286289291291291291291291291290290290290291291290290290288290289289289288288289290289291291290289289289287288288288288288287288288287288288288289289291290290291291292295295999999999999999999999999289289293294999999999999999999999999999999999999999999999999999999999999999293293292293295294294293294294294295295295293294294294293293294293294293292292293292291291292291291291291290289289289289289288288288287289289288288289289289290289289289289289289290289289289290290291291290292291292292293293292293293293294294293292293293294295295294294295294294294294293293292292292293293292292292292293292292292291291291292292292293292292293292292292291291291291291291291290291291290291291292292292293293292293293293292292293294294295294294293295294293294293293293294294294294294294294295293294294294294293294294296294294297295295295296296296295295294294294293295295295295296296296296296296297298297298299299298299299300299298298299297297297297297296298297298297298300300300300300299299300300300298299298298297297297297298297297299298298299297297297296296295294293293292292292292294294294295296295296297298297297297295297292296295295295294294295295296297297300300300302303300300299297299299300299299300300298300300300299299300299298299300300299299298299299299300301300300302301301300301302302301301301301301300300299300300300300299299299299299299299297296297296297296294294296295295295295295295294294294293293294293294293294293292292293293293294292292293293294294293295295294295294296296296296295297296295296296295296295296296295296296296295295296295295294294295295295295296296296296297297297297297297298297297297298297297297298298296296296295297297298298298298299299299297296297297298297297296296296296296296297296296296296297297297298296299297297297298297297297298295297297299299298298299298299298298300299300299300299300299299299299298298297297298298297297295297299299300299299300299297297296 999999999298298299298298298298298297296296295296295294294293295294295292293293293292293293293292290290290291291290289290289289289289288290290290290290290290291291291291291291291290292292291291291291291291291290290290290290289289289290289289290289289289288289288288287288287286286286285285285284285284286285285285285285285286286286287287287287287286286287287288288288288289288287287287288287288287287288288287287287287288287287287287287288287287288288288288288288288288288289288289288288288288288287286286288288286287288289291292293292292291290290290290290291289291290287289289289289289289289290289289289289290290290290289287288288287288288289288287286287288288289290291290292292292294295999999999999999999999999999288290999999999999999999999999999999999999999999999999999999999999999999999999292292293294294294293293294294295295293293293292292293293292293293293293293291292291291291291292291290290290290289288289288288288288288289289289289289289289289289288289288288289289290289290290290290291291291292292293292292293293293293292293293292293294294294294294293293293293293293293293293292293293293291292292292292292292292292292291291293293293292292292291292291292291291292292292292292291291291290291292292292293293293293293293293293294294294294294294294293294294294294293293294293293293294294294295294295294294294294294294294295295295295295295296295294294294294294294294294294295295296297296296296296297296297297298298298299299299298299299297297298298297296297298298299299300300301300299300299299299299298300298298299297298297298299298298295298297297297297296295296294292293294293293293292292294294295295296297297297297296295296290292294294294297295295298296296296300300299302302299298297299300299297300301298298298299299300298298300298300300298299299299299299299300301301299300300301301301300301300299300301301300299299300301301301301299299300298298298298297296297296296296295295296294294295295295295293294293292293294294294293294293293293294293294294293292293294294294294295294295294297296296297298296296296295297297296296297296297296295297296296295295296296295295295295296296295295296296297296297297297297298298298297297297298297297297297298296297296297298298298298298298298298298298298297297296296297297296296296296296297297297297297297298298297297298297297298297297297297297297298298298298298299298299298300300299300300299299297300300300298297296298298299298298297296299300302300300298297298297296 999999999299300299298295299298298298297297296296295295294294294294295293293292292294294293292291290289290290290290290290290290289289289289289290289290290290291291291291291291291291291291291292291292291291291290290290289290290289289289290290289289288288288288288288288287287287287286285285284285285285286286286285285286285286286286286287287286287286287287287288288288288289288288288288287287287287288288288288287286288287287287287287287287287287287287287288288288288288288288288289288288288288288288286287288288289288289291291293293292292291289289290291290290288290289288288289289288290289290289290289291291288289289289288287287287286287287288288288287287288289290291292289291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293294294294294294293293295294294294294293292291292291292291293293293292292291292292290291291290290290289289289289290289288288288289289289289289289289289289289289288288288289289290289289289290290290291291291291292292292292293293293292292292292293292293293293294293293293292293294292292293293293294293292291291292291292292292292291291291292293293292292292292291291291290292292292291291290292292291291290291291292292293292293293293293293293293294295293294294294294294294294294294294293294294294293294295294294293293293296295294294295295295295294295295295294294294295294294294294294296295295296297297297296296296296297298298299298299299298298299298298298298298296298298299299298298297300300299300299299299299299299298297299298298297298300297297297298298298297297297296298294294294294293294293292293292295297295296297297296296296296295294292295294294297295293295296296296297300303299301299300299300298298298298299298298299297298297298298298298300300298299298299299298299300300300300301300302300299299300299299300302300301299299302301301300301299299299297299298297297297297296297295294294295296295294295295294294295293292293293293293294293293293294294294293294294294294294293294295294294294294295296296295295295296296297296296295296294296297297295295294297295295295296295296296295296297296296297297297297297297296296297298298297298297297298298299298298298297297298298298298298297298297298299298297297296297296297297297296296296296296296297297297297298297296297297297297297296299298297297297297297297298298298298298298299298300301300299299299300299299299297298298298298299298297298299299301302301299297298299296 999999999299300299298298297297297298297296296296295293295294295294294293292294295294294294292292291292289289289291290290290290290289289289289290289290290290291290291290292291291291291291291291291291292292291291289290290290290290289289289288290289289289288288288288288286287286286286286285285284285285286286286286285285286286286287286287286287286286286287287287287287288288288287288287287287288289288288288288287288287287287287287287287287287287287287287288288288288289288288288288288288288288288288288287289288999290290290291291293292292291290290291291290289289288288289288290289288289289289289290289291290290291291290289287288289288287289287288288286286288288290292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292296295294295294293293294294294294295293292292292292292290293293291292292291292291290291291290290290290290289290288289288289289289288289289289289289289289289288288288288289289289289289290289289291290291291291292292293292293293292292292292291292292293294293293294293292293292292293293293293293293292292292291290291292292291291292292291291291292291292291292292290290291291292292291291291292292291291291291292291291291292292293293293293294293294293294293293294294294294294294294294293294294294294293295294293295295295295293293294295295295295295294294294294295294294295295295296296295295296296296296297296295295296296297298299298299299298298298298298297297299298298297298298298298298299299299300299299299299299299298298298298298298299297299297297297298298298296297299297294294293294292293294293295295295296296295296295296297296295294296295296294296296297295297296298298298300299297300299300300300300298299298299297298298297298298298299298299299296299298299300299298301300301299299300299298301299299299298298299300301302299300301302301301300300299299298298296297297296296296296295293295295295294294295294293294294294294295294294294293292292294294294294293293293294293294294294295295294294294295296296296296295296297297294296295297297297297297297296296297296295296295295295295296296296297296297296297297297297296296296297297298298297297298298299299299299297297298299298298298298297298298298297296296296296296296296297296296296296296297296297298298297298297297296296297298297297297299298297298297297297299299297298298297298300301299300300298300300298300298299299297298299298298299299299301301301300299299296297 999999999298300299298298298299298297295297297295294294294295295293294293294294294294293292292293291293291290289289289290291291291289289289288289289289289290290290290290291291291291292292291291292291290290291291290289290289288289289289289290289290289289288288287287286286287287287285285284284285286285286286286286286286287287287287288288288287286286286287287287288287287288287287287288287288288289289288288287287288288288288288287287287287287287287287288288288288289289289289289288289289289288291289288289290291290291291291291293292292291291289289289290289289289289289289289290290289289290290291291291290290290290290290289287287289289289289288289288288288289289289292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293294294295294293293293293293293293293292293292291291290291291293291292292291292291291291291291289290290290290290289289289287288289289289289289289289289288288288288288288289288289289290289290290290291291291291292291292292293293292293293293292291292292293293294293292293293292292293292293292292293293292291290292292292290290291292291291291291291291291292291291291290291291291292291291292292292291292291291291292292292292293293293293293293293293294293294293292293294294294294294294293294294293293294294292292292291292294293293297293294295294294294294295294294294294295295295296295295296296296296296296296296296296298299299299298300299298299298298297296298298298298297296298298297298298297299298299300300299299298299298298299299298296296298297297298295296297296298296296295294295294295294295294295295295296296297295296296296296295295297296296294295294296295298298298297297297298298299299301300299299299297298297296298302298298298298298298298298297297298300300300300300299300299299301300299300298298299299298298301301302302302301302301300300300299298298298296296296295296296296295293295295295295293294294294294295294293295294294293293293294293294294295293294294294293294295294295296294294295295294295296296296296296296296295296296296295296296297296297298296294296296295296296295296297297297297296297297297297297297297297298298298297298298299299299300300300299298298298298298298298298298297296297297297296295296296296296296296297297296297297296297297298297297296297298298297297297297298295295297295298298297297298297298298299301299300299300301299299298299299298298299299298298299298299300300301299301299298297 999999999999300299299299298298297297296296296296295295295294293294294294295295296295294294293294292292291292289290290290290289290289288289288289289289289288288290290289290291292291291292291291291291291290291290291291289289288289289289289290289288289288287287287286286286286286286285285285284286286285286283286286286284285287287287287287287287286287287287288287287287287288287287286287287288288289288288288288288288287288287287287286287287287287288288288288288289289289289289289289289289287289288289290289291290291291292291292292290293292291291291290291289289288288289287288289290290289290290291290290289290290289289289287288288289288289289288289288289288289291292999999999999999293299999999999999999999290289289999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292293294293292292293293293292292292291291291292292293291291292293292292292292291291291291290290291291291290290290289289289290290290290290289289289289289288288289289289289288288289289289289289290291291291292291292293293293293292291291292293293293293292294293292293292292291292292292292293293293292292291291291291291290291291290290290290290291291291291291291291291291291291292292292292292291291290292291292292293292293293293294293293293294294294294294294294293294294293293292293294294295295296293292292291291291292292292294294293294294293293294295295294294294295295296295295295295295295296296296297297297297298298297298298298298298297299297298297297297298298298298297297297297297298296297298299299299297298298299299299298297296295296297296296295295294296295298297298295294294295295294294297295295296296297296297297297296296296296296295296296295295295295295298296296296299300299299299299299298300300300298297298298300298299299297298298298297298298299299301300299299300299299300300300299298299299300298299301300302303302301301300301301300298299298298297296295295296295296295295295296295295294294294295295295294294295294294294294293294294294294293294294295295294295294295296295296295295296295295296296296296298295296296295295294294295295293295296295295295296296295296296296297297297298297296297298297297298298298298298299299299298298300300300300300300300300299299297298298297298297296296296296296296296297296296296295296296296295297297297298298296296296295296297297295296296296295298296297296298296294297298296297297298298299299300302302301299297300300300298300300298300299299299299300300302299299299299 999999999999300301301301299299298296295295296297296296294295295295294295294295294294294294292294293294292292291290290291291290289288288290289290289289289288289289290290289291292291291291291291291291291289289291290289289289289289289288289289289290288288287286286286286286287286286286286285285286284286286284284286287285284286286287287286287287286287287287287287287287287287287287288286287288288288287288287287287288287286286287287286287287287287288288288288288289289289289288289288289289289289289289291291290292292292293293292292292292292291291291290289289288288288288288290288290289289290289290289290289289290288288288287287289289289290289289290290289289289294294999999999999293294296999999293299999999291289290290291292999999999999999999999999999999999999999999999999999999999999999999999999999290291290293293292292293293292292292292292291290291291292292291291291292291292291292292292291292291291291291291290290289290289290291290291290291290290290290290289289289289289289289288289289288289290291290290291292292292291292293292292292292293294292293291291292292292291291291292292292291293292292292292292291291291291291291291290291290290291291291291292292291292292291291291292292292292292292292291292291292292291291292292293293293293294294293293294294294294294293294294293293293294294293294295295292292291292292291292291292293293294293292293293293293294294294294295295295295295295295295295296295296297296297297297297297297297297297297297297297297297296296297297297297296297297296297297297298298299299298297298298299299301300299297297297297297296294294294295297296297296295294295294295294294295296295295294296295296296296297296295296295297296296295295295295295295296296296298299299299298299299299300301302302298301298299298299298298298299299299299299300299299300300300298299299299300299298299299300299298299300300301302301299299302301300299299299299298298296296296296295295294295296295295295294294294295295295294293293295294293293293293293295293295294294295296295295295295296296296296294294294295295295296296296294295295294294294295293294293294296294295295295294296296296296295296297297298297297297297297298298298299299300298299300298299299300300300300300299298298298300298298298298297297298297296296296296296296295295295294295295296295297298296297297297295295296296298296295295295295294297296295297296296297295296298298299301301300301300300299297295300298300299301299299300299299300301300301299301301299 999999999999302301302301301300297299298296295295295295294295297295295295295294294294293294294294294294294293292291290290290290291290289290290289289290291289288290289289290292291289290291292290289289289289289289289289289288289288288288289289289289288286287287286286287287287287286286286286286285284286286284286287286285285287287286286286286286287286287287286286287287287288287286287286287287287287287287287287287287288287287287287287287288288288288288288288289289289289289289288289288288289290290291291292292292293292293293293293292291291290290290290290290289288289289288289288288288288288289289289290289289288287288287287290289289290290290289289290291292292295292999999999296294293295999999294999999999291289290289288288290999999999999999999999999999999999999999999999999999999999999999999999999999289290292291291290292292292292292291292291289290291291291291291291291291292293292292292292291292291291291290290289290289290291290291291291291291290290289289289288289290290289290289289290289291291290290291291291292293292292291291292292293298290292292291291292291291290290290291291292291292292292291290291292291291291291290291289290291291291290291291291291291291292292292292292292292292293292292293292292291291291291292292292293292293293293295295294294294294295295294293293292293293293293294293294294294291291293291292295293292294293292293292293292293293293293294294294294294294295295295294295295296296296296297297297296297296296296295296296296296296295296296297297297296295295295296296296296296298298297297298298298299299298296297297297297297296296295295295297296293296295294293294294294295293295294295295295296296296296297296296296295295296295295295296295295296297297296298299299298299298299300301301302301299300301299299298298297298299300297297298300299299300299298299299299299299299298299299299299298298301300300299300301301300299299299297298297297297296297295295295295295295295295294294294295294293295295293294294294294294293293293293295295293294295295295295295295296295295295295294294294295296296295296295295296295294294295293294294293295295296295296295295295296296295295296296297297297296297297298298298298298299299299299299299299300300301300301300300298298298300299298299298296297297297296295295294295295296295296296296295295296297296296296297296297296296297295294297295295296296297294295296297297297298297298297300302300301299301301300299301298298298301299300299300300301300297299302300300301301 999999999999999302302301300299298298298297297296295296296295296296296295296295295293294295294295294294294294293290293293292291291290291291290291289288290290290290289290291291291291290290292291289291290289289290290290289288288288288289289289289289288288288287286287287287287287286287286286286286284286286286287287287287286287287286285286287287287287287286286286287288287287287287287287287287286287287287287287287287287288287288288288288288289289288288288289289289289289289289289289289288289289291291292293293294294293293292293293291291291291290290291290290289288288288288289288289289289289289288289288288289290289288289288289289289290290290290289290292290291294292999999297294294295296292292292290285999289289289289289290290999999999999999999999999999999999999999999999999999999999999999999999999999289290292291291291292292292292291292291290290290291291291290290290293292292292292293292292291291291291291291290290290289290291290290292290292291290290289289289289289290290290290290290289289290289289291291291291291292292292291291291291292999288292291291291291290290291291289290290290291291291291291291292290291291292290290290290289292291292290291291291292292291292292292292291292293292292292292293292293292291291292293293293293293293293294294294294294294293293293293293294293293294293293293293293292292293292293293292292293293293293292292292291292292293293292293293293293294295295295295294294294296296296296297296296296296296296295295295295295295296295296296297296296295295296295297297297296297297297298298297297297298297297298299298298297296295295293294295295294294294293294293295293295295295294295295295295295296296296296296297296296296296295295296295295296296297296296297299298298299299298299300301301301298299298298300297297298298298299300297299297300297300298298300299300299299298299299300299298299299300299299300300299301300298298299299299298297295296297296296296296295296295295295295294294295295294295294295294294294294294294294295295295294295295295295295295295295295296296296294295296296297297297295295294294294292296296294292295294294294295295295296296297297297296296296296297297297296297298299299299299298299298299299300299299300300300301300300300298299299300300298299297296298297296297295295296296295296295296295295296297298296296296296297296297297297296298295294296295295296296294295297295294297298298298300300302302296296301301300296300301296300302299299299299297300301299300302301301300301 999999999999999301302301302300300298297297296296296296296297297297297296297296296296295295296297296294295296293290294295293291290292292291291291289290291289291290290291291289290291292291291291289290290290292290289290289287289288288288289289289289288287288288289287288288287287286286286286286286286286286286287286287288287287287287287286287286287286287287287287287286286286287287286287287286286286287287287288287287288289289289288288289289289289289289289289289289289290290290290290289290290289290292293293294292292293292292292293292292291291290290290290290289289288288288287288288289288289288289289289289289289288289289289288290288287290289288289291291293290292999999999999294292293291999289290290288287288289290289289290289289999999999999999999999999999999999999999999999999999999999999999999999999289289291291291292292291291292290290290290289290291290291290291292292293292292293291291291291292291291291290291291291290291291288290291291290290290289289289290289290291289289290290290289290290289289289291291292291292291291292291292293293290290291291291291291290290290290290290290290290291291291292292290291291290291291291291291291290292292292291291291292292292292293292293293292291292291292292292293293292291291292293293294294294294294295295295294294294295294294293293294293293293293293294293293293293292292293293292292291292291293291292291291292292292292292292293294293293294293294294294295294296296296296296296295296296296296296295294295296296296296294295296297296296296296295296296296296296297297298298298298298297297296297297298298297297295296293293293294295294294295295295294294294294295295294295296295295297297297296297297296296296296296295296296296296296296296297297297298298299299297299300299298300296296297299300297298298298298299300296299298298299299299299299300300300298299299299300298298299300299299300301299299301299298298299299298299298297296297296298296296296295296295295295294294295295295295294294293294294295295293295294294295296295296296295295295295295296296295295295296296297297296296296295294294293293296295294294295295295296295295295295296297298297297297297296297297297297298299300300299299300300300301301301300300300300300300300300300299300299300299298298299298297298297297296297296296296297296296295295295295296296297296296297296297294297298298295296296293292294296294295296296296297297297299299300302295295296300301301300300298297299299297299299299297301300299299300299301302302 999999999999999301302305304303300299299298298298298297296297298296298297297296296297296297297298298297295295294293293294294293294293290291291291291290290290291291291291291289291292291291291291291290291290290290291289289289289288287288288290290289289289288288289288288288288287287287286285287287286287287287287287287287288287287286286286286287286287287287287286285286287287287287288288288287287288288288288289288289288288288289289289289289289290289290290290290291290291291292291291291291290291292292294293293293294999999292292294292292292291290290291289289289289288289289287288288287288289288288290289289289289289290290290290290290290289288288291292293292295292999999999293292293295290287289289288288290289290289289290291291289999999999999999999999999999999999999999999999291999999999999999999999999291290291291291292292292293292290291290290290290290290291291292292291291294293294294293291291292291292293292291291290290290291290290291291291291290290291290290290290291291290291290290290290289289289291291292292292292291291291291292292291290290290291291291291290290289288289290290290291291291290290291290290291290290292292292291291291291292292291291292292292291292292292292292292292291293293293292292293292291291291293293294293294294295295294294294294294295295294294294294294293294294293294294293293293292292292294294293292292291292293291291291292293293291292292292293293293293293293294294296295295296296297297296296296296296296294295295294294295296296295295296297296295295295296296296295296296296297297297298299299298297296296297297297297296296295294294294294294293295296296295295295295295296295295296297296295298298298296297297295296296295296296296296296296297296296296297297298298299299300298297297296296296296296297297298298299302300299299297299299299299300301300300300300300300299299299300299299300300301301302300300301299299299298299299298299299298298295296296296297297295295295295295295295295295295294294294295294295295295295294294294293296295297296296297296297296296295296298296296297297298296296296296295295294293294295295294295295295295295296296296297297297297297296296297297297297297298299299300300300300301301300301300301301300301300301300300300298299299299298298298298298298297298297297297296296298297297296296295295297296296296297297297297296296296296296296296297296297298298295296295297297297298298299299300296296295300299301300301299298297295296298299296295299300300301300301301302300298 999999999999303302303301302304302301300299298298298298297297297296296298297296297298297297297297298296296296295294294294295294296295294293292292292291290291292291292291291290291291291290291290290290291291291290290290291289290289288290290290290290289288287288286288288289289288287288287286286287287287287287287287287287287287288288287287288287287287287287287287287288288288288287288289289288288288288289289289290290289289289290290290289290290290290290290292292292292292292293292292291290290291292293293294294294294999295294294293293292292292290291292290289289289289289289288289289288289289289289289288289289291292291292292290288289290290289289292294293292292999999999291291292291289290289289289289289288290290290289290290289999999999999999999999999999999999999999999999999288289999999999999999999290291291291291292291291293292290291292291291290291290291291291292292292291292293293293294292292292290292291291291290290291290290290291291291291291291291291291290291291291291291291291290289289288289291291292292292293292292292292292293290290289290289290290290291290288288289289290290290291290291290290291291290291290290291292292292292292292292292292291292291292292292292292292292292292293292293293292293291293292292293292293292293294293294294294294294294294295295295294294294294294293294293293293292293292292292292293295291290291291294294292291292292292293292292292293292293292294293293294294295294296296296297298297297296296295295295295295295295296295295295296296297296296296296296296296296295296296296298298298299298298297297296297297298298297296296296295295294294295295295296295295295296296296296295296297297296298297298297297297296296296295295296296296296296296296297297298298298297298298299298297297296296296296296297298298297299299298299300300299300300300301301300301301299300300299299299300301300301303301301302301300301299299299298299299299299298298298297297297297296297296295294295295295294295295295295294295295295295295295295294294295295296296297297296297297297297295296297298296298297297296296296297295295295293295297295295294293296296296297296298297297297297298297296296297297298297298299300300300300300301302302301301299301300301301299300299300300299298299299299298298298297298297298296295297299297297298297297297297296296296297295297296296298296296296296296298296294297297298298298298298299298298299299299300300299295295298297297301300299298297298300298298300299299300302300301301300299298301 999999999999999999999301301304302301299299299299297298300300298297298296297296297298298298297298298298297297296295294294296296297296294293293293292292292293290291291290291291290290291290290290289289291290290291291291290290290289289288289291290291289288288288287288288288288289288288288287287287287287287287287287287287288287288287287288288287287287287288288288288288288287288288288289289288289289289289288289289290290289290290290290289290290291291291291293293292292292292293293291292292291293293293295295297296297297296296295295294293292292292292290291290288289289289290289290290289291290290290290290290290290291291290291291292292291290292292293293293292291999999999291291290289288288290290290290290289290290291292289287999999999999999999999999999999999999999999999999290999291294999999999999292292293291292293293293292291292291291292292292291291291292292291292292292291292291293293293292293292292293291292290290291290290289290290291291291291291291291292291292291291292291291291290290290290291292292292293293293293292292292292293290289290291290290291291290290289289289290290290290291291291291291291290291290291291291291291293292292292292292292291291291291292292292292291293292292292293292292292293292292293293293293293292293293292293294294294294294294294294295294295295295295294294294294293294293292293292292292291291291291292294294291291292291292292292292292292293293293294294293293294294295295295295296296296296295295295295295294294295295296296296295296297296296296296296296297297296296296297297297298298298299298297297296296297297297296296296297296295295296296295295295295295295295296296295296297297297297297298298298296297296296296296296296296296295296296296297298297298298297298298299299298296296297297297298298298299299299300299299300299299300300301301301301300301298301300301300299300300298301300300299299300299299299298298299300299299300299298298298298297297296295296295295294295295295295295294295295295296296293295295294294295296296297296296298297298298297297296297298297297298297299300297296300299299298296296297297296295295295295294298298298298298298298298298295296296296297297298300300301301300301301302301301300300300301300300299300299298299297298299299300299299298298300299297295297298297297298298298297297297295295295297297297297297297297295296297296296296295295298298298299299299297297298298299299300299294298294295297296301299301299297297297298299301300300300301301301299299299299301 999999999999999999999999300300300301301299298297299298298298298296297297297297299299299298299298296297297296296294295296296295296296295294295294294293292293292292292289290290290290289290289290290290290290290291291291291290291289291291290291290291290288289289289289289287288289288288288288286287287287287287287287287287287288288288287287287288287288288288288288288288288288288288288288289289289288288288289289289290290290290290290290290290291291291292292293292293292292293293293292292292293295295295295999296297296999297297296297294292292292292292291290290290290289290289289290290290290289289292291291291292291291291292292291294294294293293292293293291290290283999999285288288288290289290290290290289290290289290289287287999999999999999999999999999999999999999999999292291999292295999999999293293292292292292293294292292292292292291291291291291290291292292292292292292292293292293292293294293292292292292291291290290291290290290291289291291291291291291292291291292292291291291291291290291291291291292292293293292293292291291291291291291290291291291291290290290291290290291291291290291292290290291290290291291291291291291291292291293292292293293293292292292292292292292292292293293293292292292292292292292292292292293293292292292292294295294294294295294294295294295295295294294294293294294293294293293293293291292290291291291291293292293292291292293293293292292293293294294294294294294294294295295295295295296296295295295295296294295295295295296296297296297297297296296296295295296296296296296297298298298298299298297298296297297297298297297296296295296295296295295295295295295296296295295297296297297297297297298298298298298297297297297297296296296296296297296298297298298296298299298297298299298297297297297297298298298299298299300300300300299301301301302302301300299299301300300298300298301300300300300299299299300299300299298299300299299299299300300297297298297297296295296295295295295295295295294295296294296296296294294296296294295295295296296297298298299297297297297297298297296295300299299299297300301300298295296296295296295293295294293298297297297298299298298297297297296297297297299299300300301301301301302302301300301300300301300300300300299298298298299300300300298299299299297297297298297298297297297299297297297297294296295298297298297298297297297296296296298295295296298298299299299298298300299299299300296297295296297298295303299298299299295299299300300297300300301301300299299299299299 999999999999999999999999999999300300299999298299297297297296297298298298299298298298298298299298297297296295295295296296295294295295296294295294294294292293292292291290292289290291290290290290290290290290290290290290290291290290290291291291291290289288287288288288288289287288287287288287287287287287287287287287287287287288287288288286288287287287287288288288288288288288288288287288288287288288289289288288288289290291290291291290291291291291291292292292292293293293293293293293292293295297296297293999294295999999295294294294292289290290290291290290289290291290291291290290291292291290290292293292292292292292291289293292294296295293293293292286287292290285283281282284288289289289290291291290290289288288289289288285999999999999999999999999999999999999999999291292293293293296295999295293293292293292291294292291291292292291290291290291291291292291291291291292291292292291291292292293293293292292292291290290290291290288288289290291290291291292291291291291292292291291291291292291291292291292291292293293292292291292291291290291291290291290291291290291290290290291292290290291291291291291291291291291292291292291291291291293292292292293293293292292292292292291292292292292292292293292293292292292292292292292292293291293293293293294294293293293294295295294294295295294295294294294293293294294293293293293292291295293292292294294293292292291292293292292292293293293294293294294294294294294293295295295295295294295296295295294295295295295296297297296297297296296296296296296296297297297297297298298299299298298298297297297295298297297296295295295296295294294295294296295296295296295296296296297298298298296296296298298299298297297296297297297297297297296297297298299298296299298298298298299297296297296297297298298298298299299300300299299299999999299301301301300298299300301301300298298299302300300299299300298299299300299299297299299300300299300300298298297297297296295295295295295295295295295295295295295296296296294295295295296296295295296297298297298298297299297298297297297296297299300301301300301300300297299298297296296295294294296295296296297298297298297299298297297299297298298299300300300300301301302303303302302301300300300300299299301300300300300300300300299298297298299298298298298298297297297298297296297297298298297294297297299298296298295297297294297296296296297298298296296300299299300299299299299299295297297297300299298297299294297297299298300299296300300301301301300298296296301 999999999999999999999999999999999999999999999999297298298298298298298298299299299298298299299297297296295295295294295296295296295295295294293293293293293292291292291291291290290290290290290290290289289290290289289290290289290289289290292290291291290288288288288287287288287288286286286286287286286286286286286287286287287287286287287287287287287287287287288287288287287287287287287287287287288287287287287288288288288289290290291290290291290291291292292293292292292292292293292292292294296297296295999999297297999999297295292293292289288287289288288289289289289290290290289289291290291290291291291292291294293293290291294294293293291291289287286285288291288286283280280281284288289289289290290290290289290288289288286285999999999999999999999999999999999999999999291292293294294296295999294292292292293291292290291291292291291291290290289290291291292291291290291292291291291291291291293293293293293293292292291290290290290290290291291289290290290290291291290291291292291292291291291292290292292293292292293293292291292292291292291291291290292291290290290291292291291291291291291291291291290291291290291291292292292291291292292293293292292293293293292292293292292292291292292292292292292292292292292293293292292293293293293293293293293293293294294293293294294294294294294294294294294294293293292294294295294293293293294293291294293294294293293294294292293292292293292292293293293293293294295294294295296295296295295295296295295296295295295296296297297295296296295296296296296296296296297297297298297298298298298297297298298297296296297296296295295296296296293295295295296295295296296297296295296297298298299297297296298298298299298297297297298297297297298297297297298298299297299298299298298299297297296297298298296299298298299299300301301301300301301301301300300299299299299299299298299299300300300299299300299298298300300299299299299298301300300299299298297297297298296295295296296296295295295295295295295296296296295295297295296296296297297297297297298297296297296297297297297298298298297298301300300302300294298296297298295292293293295296295295294297297297297298298298297298299298299298299300300300300301300300301300300300300300299299298299299299299299298300300299299297297297296297297298297296296296297297298298297298298297296296296295297296297295295294295297296297297296297297298296295297298299299297297298297298298297294298298297298298296299297301299300300299300300300300301299299300297298297302 999999999999999999999999999999999999999999999999999298298299298298298298298299299298297297299299297294295295294294295296296296295295295294293294294293295292290292292291292290290291290290289289290290290290290290289290289290290289289291291290291290290288289288288288287288287287286286287287286286286285285286285286285287288287286286287287287287287287287287287287287287287287287286286286287287287287287287287287287287287289289289290290290290289290290290290290291291291292291290292292294295296296294294999999296999999999999293297293292289288288288288288288288289289289290290290290290290290289290291291292293293292292292291291289289291286288285286285286286287288999999999277279285287288288288288289289289286289289288288287285999999999999999999999999999999999999999999291291292293294294294999293293292292293293293290290291292292289289290290290289291290290290290290290291290290290291291291291293293293293292290291292291289289289290290290290290290290290290290291290290291291292292290291290291291291293292292292292293291292292291291291291291292291291290292292291292292292291292291292292291291291291291291291292291292292292292292293292292293293293293293293293293293292292292292292292291291292292292292292292291292293292293293293292293292293293293293293294293294294293294294293293294293293293293292293292292293293294293293294294291292292292293292292292294294292293292291292292292292292292293293294295294295294295296295295295294294295296296295296295295296297296295296295295296296296295296296295296296297297297298298297297296296298298297296296296295295295295294294293293293294295296295295295295295295295294296297297296297297297297298298298299298298297298296297297297296297296297297297297297297297297298298298297297297297297297298297298299299300300301301300300301301300300299299299299299299298298299299300298299299299299299299299299299299298298298298299299299297298298298296297297296295295295295295294295295295295295295295296295295295296295296296296296296297297297295296297297297296297297297297296296297297298297298297297295297297297296296294294294295295296296297297297297298297297298298298298298298299299300299300300299300299300300300300299299299298298299298299299298299299299298298298299297297297298296297298296296296297297297297297298299297295298297296297296296295296296297297297298296297297297298297297298295299296298298294295298297296297297298297297294298300300300300298300300300300300299298299299301301300301 300999999999999999999999999999999999999999999999999300300300298297297298299299300298297297298298297295295294294295295296296296296296295294294294293292293294292291292292292291291291291291290290291290291290290290289290289289290289290290290290290289290289289288288288287288288287286286287287286286286285285286286286286288288287287287287287287286287287287287287287287287287287287287286286287286287287286287287287287287288289290289290290290290290289291290289289290291292291292291292294294296297296295999999999999999999999999999999293290289288288289289289289289289288288290290289290289289289290290292292293294293293292291292289290288286284286287287287286284283282999999999281283286286287288287289288287289287287288288287288286286999999999999999999999999999999999999999999290292292293293293999291291291292293292292290290291290290291290291290289290291290290289290290289289290290290290291291293293292292293293289291291291289290290290290290291290289289291290290291291290291291291290290291291291291292292292290290291292291291290290291291291291290291291290291291291291291291291291291291291291291291291291290291291291291291292292291291292292292292292292292293292292292292291291291290290291290291291291291291291291291291290292291292291291292292292292291292292292292293292293293292293292292293292292292292291291293292292292293293292292290290290291292292292292292291291291291292292292292292291292293293294293293294294294294295295294294295295295296294294294295295294294294294294295295295295295296295295295296296296296297296296297297296296295296295296295294294295294294293294293294295295294294295295295296295295297297297297296297297297298297295298297297297296297298297297297297297296298297296297297295297297297297298297297297297297296297298298299300301301299300300301301301300300299299299298299299299298298299297298298299299300299299300299299298297298298298298297297297297298297297295295295295295294294294294294294295296296295295295295296295295295296296295296296297297296296297297297296296297297298297298298297298299298297295294295297296295296295294294295294295296295296296296298297298297297298298298297298298300299300298297299299298300299299299298298297298297298299298298298298299299299299298299297298297298298297295296296296297297296297297298298297297296297296297296297297297296299297297295296297298297297298298298298294292296293293295294296296296297297297297300301299298300300298298298298298299301298301297303300301 300999999999999999999999999999999999999999999999999999301298299298297297298299299297298297297297297296295294294294295295294295295295294294294293293293294294293293292293290291291291291291292291290290290291291289290290290291290290289290289290290290289289289287288288287288288287287287287286287285286285286286286286286287286286287287287287287287287287288288288287287287287287287287287287287287287287287287287287287288288288289289290290290289289289289290290290288291293291291290292294297298297296296999999999999999999999999999999999999288288288289289289290289289288289289290289289289290290289290291293293293293292292292290290288284284285286289286286285282280282999999284281285287286287286287288287286287287287287288288289287999999999999999999999999999999999999999999999999292293293293293999291290291291292290291290290291290291290290290290290290289289290289289290290290291291291290291292292293292292292293292292291291290290290290291290290290290289290291290291291290291291291290290290292291290292292291292292292291292291290291291290291291291292292292291292290290291290290291291291291292291291292291291291291291292291292291291291292292292292292292292292292292292291292291290290290290291290291291290290290290291291290290291291292291292292292292290292292291293293292293293292291291290292292291291291291291292292292293293292292292291290291291291291291292292292291291291291292292292292293293292294293294294294293294295295295294294294295295294294294295294294294294294295294294295294294295295294295296296296296297296296296297296296296294295296296294294295294294294294294294294295296295295294294294296295296296297297296296297298298298297296298297297297298296297298297297296297298298296297298297297298298297298298295296297297298297298298299299300301301300300301301300300299299299299298298298299298297298298298298298298299300299300300301299298299298298299298297297297297296297296295295295294295294294294294294294295295296296295295296296296295296296297296297297297296296296297297296296297298297297299301301300297298297298296297296294295296295294295295294293295297297296296296297298298296297297297296297297297299299300298299298301298299298299298298298298298298298299298298298297300300299299300298297297298298298297296296296298297297295298297297297296298296297298297297296297298297297297295296295297295298299298300298298297296296295296295296297298298296299299299299300299300300299299298299299300299302301302300301303302 300999999999999999999999999999999999999999999999999999999298300298298297299299299298299298297298296297296294293294294295294294294295294294293293293293292294293293293291292292291292292291291291291291290290292290290290288289290290289290290291290288289289290288288288288287288287287287287287286286285286287286286287285287287287287287287286287287287287288287287287287287287287288287287287287287287287287287287287286287288288288289290290290290290290289290290290290292291292292292293297296296298999999999999999999999999999999999999999999289289290290290289289289288288288289290291290290291290290291292293292292292292292290291288287285284286288286285287285284281282280279284285285287287287286287287288288288286285288289287289290286999999999999999999999999999999999999999999999294294293293292292291291291291292290291291291291290291290290291291290290289289289289290291290291292291291291291292292292293293292292292292292291292291290291291291291290290290290291291292291291292291290290291291291291291292291292292293292291291291290291291291290291291290291290291291291291291291292291291292292291290292291292292291292292292292292292291292292292292292293292292292292292292291292291291291290291290291290290289290291291291290290290291291292292292291291291292292292292292292292292292291291290290290291290291291291291292291291292292292291290292292291292291291290291292291291291291291292292292293293294293293294294294294294295295295294295295295295295295295294295295295294294294294295294294294294294295295295296295296295296296296296296296296295295295296295295294294294294294294294294295294295295295294294295296295296297297296296297298298298297296296297297297296297297297298296297297297297297298298297297296297298297297297296297297297297298298299299300301301301300299301301299300300299299299298298297298298298299298298297298298299299299300300300300300299297298298297297297297298296295295296295294295294295294294295295295295295296297295297296297296296296296297297298297298297296296297297297296297298298297301297297298296298298298297296296296294296294295295294293295295296296296296296296297297296295296296296297298299299299298298299299299300299299299298297296297299298298298298297298297299299298298298298296296296299298298297298297297297297297299298298296297297297297297297297297297298296297298295296297298297299301299300299297296294297298294295296295296297296300297299300298299300301300300299299298299300302302304301302302300 301302999999999999999999999999999999999999999999999999999999299299298298298299300299299298297298297296295294292293293293294294294294294294293293292294293292292292291291291291291291292291291291290291291290289290289291290290289288290290289289289289287288288289288289288288287287288287286286286286287285285286285286286286285286286286286285287287287286287286286287287287287287287287287287287286286287287286286286287287287288288290290290289290290291290291291291293295293292292293295296297298999999999999999999999999999999999999999999999293292292292290288287287287287288288288289290290290290290290291291291292292293291290288285286284284286286286285285283281280277279282284285283285283283284286288288288286287286288290291291291289284999999999999999999999999999999999999999999999293293293293292290291292291292292291291291291291291291290290290290290289290290289290291290291290291291291291291292292293293292292292292291292291291290291290290291289290291291291292292291291291291290291291291290290290291292291292291291291291291292290290290290290291290290290290290290290291291292292292292292292292292292292292292292291292292292292292292292292293293293292292292292292292291291291291291290290291291291290290290291292291290291291290291290291290291291291291291292292291291291292291292291291290290291291290291291291292291292292293291292292292293291292292292291291292291292292291292293293293292294293294294294294294295295295295295295295295295295295295295295295295294294294294294295294295294295294294295296295295295295296296296296296297296295295296295296295295295295295295295293294295294295295294295295295296296296296296296296297296297297297297297297297296298297296296297298297297297298298298298297297298298297297297296297297299298298298298299300301300301302301300301300299299299299299299298297297297297298299297298297298298299299299300299300299299299298298299298298297297297296295295294295294295295295294295295296295296296295295296296296296296297297296297298298299298298296297296297297296297297297297302300298297297295299298298296296295295295294294296294296296296295295295295295296296297297295295295296296297299298297299300298299298298297297298297297297297297297298297297298297297296298298298298297296296298298299298297297297296297297298298298297297298297296297298296298297297297296295296297295297298295299298298300298295295294300295296293295295296296297299298299299298299300300301300300300301297299301304304302300300299 301302303999999999999999999999999999999999999999999999999999999999999303301301301300299299299298298296294293293293294293294294294293293293294293294294293293294294292291291291292292291291291289290290290290289291290290290290290290289289289288288288288287288289288289288288288288288287287287286287286286286285286285285285286286287286286286287287287287286287287286287286287287287287287287286287286286287286286287287287287288288288290289289290290290290292291293294294294294294295297297298300999999999999999999999999999999999999999999291296297294292291290290289288287288288288289289291290291290291291291290292291292290287287287287283283282284284285285283280277277280282284286284282283283281285287287287286285286288290287290291291286282999999999999999999999999999999999999999999292291291292290289290291291290291291290290290290291290290290290290290289289290290290289289289289290290290290291291291292292292291291291291289290290290290290291291291291291292291291291290291291290290290291290291291290291291290292291291290291291292291290289290290290291290290290290292290291291292292291293292292292292292292291292292291292292291291292292292292292293292292292292292291292291290290290291291291291291291291291291291291291291290290289290291290290290291290291291291293290292291291291291291291291290291291291291292291291291291292294291292292292291291291291291291291291291291292292293293293292292293294294294293294294294294295295295295294294294295294295295295295294294294293293293294293294294294294294295295295295294294295295295296296295296296295295295297297295295295294294293293293294295295295295294295295295295295296296296297297296297297297296297297298298298297297296296297297298297297297297296297297298297297297296296297297299299298298298299299300300300301301301300299299298299298298297298297297297298299299297298297298298299299299299298299298299298298298298297296296295296296295295295294294294294295295294294295296296296295296296296296296296296296297298298299298298298296297297296296297296296297297297297298297297296298298298296296295295296295295296296296296294295294294296296296295296296295295295294295295298299300299300298299298296298298296295296297298296297297297295298299297298298298298297296295296297298300297298298297296297297298298299297298297297297298298298297296295297296294295298297295297298299299298298300295293298294294296295296297296295298301299300299301300301300301300301300299301302303301304302302300299 301302303999999999999999999999999999999999999999999999999999999999999999303302301302301300300300298297294294292292292292293294293294294294294292292293293293293292293293293292292292292291291290290290290290292291290291289290290290290289290289288288288289289289290289288288288288288288286287287287285286286286285286286286286286286287287287287287287287287287287287287287287287287287287287287287287287286287286286288288288288288289291292291291291291291293293294295296296296296297297298300999999999999999999999999999999999999999999999292295294295293294293292292290290288289289291291289291291291290291292292291290287285285285286286282280999285283284279279277279278279282284285282283283284282285285285288288286286287290288289290287286286282281999999999999999999284288999999999999289290290292291291290290291291289290290291290291290290290290290289289289290290289289288289290290290290291290291290290291292291291290291291290290291290290290290290291292291291291291290291290291290290290290290291291290291291291292292291290292291291291290290290289291290290291290289290290291291292292292292292292292291291291292291290291292291291291292292292292291292292292292292291291290290289290290290290290291291290291291291291291291291290290290290290289290290291290290291291290291291291290291290291290291290290291290290290291291291291292291292291291291291291291291290290289291292291291292292292292293293294294292294294294294294294294295294293294294293295295294294294294294294293292292292293292292293293293294295294295295294294294294295296294295295294294295295297297296295294294294294294293293294294294294294294295295295295295296295295295296296297296297297298298297297297297297297297297297297297297297296296297297297297297297296296298299298297299299299299299299300300300299300299299298299298297298298298297296297298298297298298297298297298299299298298298298298298297298297296296295295296295295295295295294294295295295294295295295295295296296296296296296297297297297298298298298298296296297297296297295297297299301297297296296298298298298296296296295295296296297295296295295294295297296296296296294295296296295294296297297298300301299299297298298298298297297296298298296295296295296295297297298297298297296297296297297298298298299299298297298298298298298299297297298297299298297296297297298298297297298297295298299299298297300299299297299295294297294297296296299300299300301300300300301302302301301302299301301302303303301299301302 301302303303999999999999999999999999999999999999999999999999999999999999304302302301300301301299298296295293292291292292291293293294294293293292290293293293292292292293292292292292292291290290290292291291291291290291291290291291290289289287287289289290289290289289290289290289289288288287288287287286286285284285286286286286287287287287287287288287288287288288288287287287287287287287288287287287287287287287288288288287289290292293293292293292293294293295296296298298298298299300301999999999999999999999999999999999999999999999999293295999299293293294291291290290290289292292291292291292292293291292285284284286286287286286283999999999999999279279279284283285287286286285285284284283286286286286286286286287288286288290288287285285284281282999999999999284288999999999999289290289288290291292291290290289291290290291290290290290290290290290289290290290289288289290290290290290292290290290291291291291292291291291292291290290290291290291292292291291291290291291291291290291290290291291291290290292292292292292292292291291292290289289290291291292292291290291291292291292293292292291291291291291292292292291291291291291292291291291292292292292291291290290290290290289290289290291291291291291291291291291291290290290290289290289290291291290291291291292290291291291291292290290291290291290290290290291291290290291291292292291291290290291290292292292291291291291292291292292292293293294294295294294295295295294295295294295294295295294294295294294294294293293293293291292292292292293295295294293294294294294294294294294295295293295296295296295295294294295294294294293294293293294293293294294295295295295295294295296296296297295297297298298296298297297297297297297296296295295296295296296297297297298297297297298298298298298299299299299300300299300300299299298299298299299298298298297297297297297298297298297298298298299298298298298298298299299298298297296296296296296295296294295295295295295295295295295295295295296296296297296297297297298298298298298298298298296298298297297295297298298299296296299299298297298298296297296295297296297296295295294294294295297298297299297296296296296297296297298298297299300301299297298297298298297296297296295295294295296295297296297297296296297296295298296295296298297298297297298298298299297296298298297298298298297296296296297297297296296294296295293299299297296298299298294294302298294294293296302298301299298300301302301302302300302302301301302302304303300298299299300 301303304304999999999999999999999999999999999999999999999999999999999999999300301300300302300300295293294291292291292292293294294293293293294291294293294294292293293293292292293291291291291290290291291292291291292291290291291290289289289289289289289290290291290290290290289289288288288289288286285285286286286285286287286287287287287287287288288288289288288288289288288287288287288287289288287287287287287287288287286287288290291292293292292293293293295295295297299298299299300300999999999999999999999999999999999999999999999999999999999999999297294294291290290289289291291292291291291290292288288285283283284284287287287285280278277279281283282283286287288289288287286285286285284284287287287286285286286286288287285290289286288285284283283284282283283281999999999999289288288289289290291292291291290289289290290290291290290290290290290290289289289289289289289289290290290290290290291291292292291291291291290290291290290291290290291291291291290291290291291291291291291291292292292292291293293292291292292293293292291292290290291291292292292292292291291292291291291292292292292292291292291291291292293293292292291291292292292292292292292292291290290291291290290290290290290291291290291291291291291291291291290290291290290290291291292291291291291291292292291291291291291291291291291291291291291291291291291291291292291291290292291291292292290291291291291292292292293292292293293293294294294294294295296295296294295294295294295294294294294294294294294294294292292292292292293294294294294294294295294294294294294293295293293295294295294295293295295295294294294293294294294294293293294294296296295295296295296295295295295296297297297297297297296296298297297296296296296295296297296295297297297297297298297298298298297299301299299299299300300300300299300300299299300300299300298297298297297297297297298298297297298298299299298299298299298298299298297297297297296296296296294295295295295296295295295294295296295296296296296297296297298298297298297298298297297296297297296297296298296300300299296298298297298298297297297296295295296294295295295295295295297296295296298298297297296295295295295296297298298297299297296297296297296297297297297294295295295294295295295296296295297295296295296297296297296296296297298298297297297296297297296298298296296297296296296296296296296296294297297297299298297297298297297293295296296296295298298299301301301299301303303303302302302302302302301301303303301301299299299300 302303304304999999999999999999999999999999999999999999999999999999999999999999299296299300299300295293291292291288292291292292293292292293293293293293293294293293293292292293292291291290292290290291291291292290291291290291291291290289290290290290291291291290292290291290290289290289289289289288286285286287287287287287287287287287288288288288288288289290289289289289288288288288289290290289290290289288288288288287287287288289291291293293293294294295295296296299299299300301301999999999999999999999999999999999999999999999999999999999999300301295999999293290289289289290291292290291291289286286287286285285286285287289288285281277277279284286285287288288287287286286284284284284284284284285285285285285285286287286285287288286286286284283284285285284285284999999999288288288288290290290290291290290290290290289289291290290290290290290290289289288288288288288288288289289289289290290290290292291291291291292290291290290289289290290291290291291291291291291291291291291291292293293292292292293292292293292292292291292292292291290290291290292292292291292292292292292291292291292292292292292291291291292292292292292291291291291291291292292291291291291290290290289289289290290290290290290290291291290291290290291291293291291291291292292291291292291291292292292292291291291291291291291291292292291291291291291292293291292292291291291292292292291292291292292293292292293291292292293293294293294294293294294295295295295294294294294295293294294294294294294294294292292293293293293293294294294295294294295294294294293293293294294294293294294294294294295295295294294294295294294294293294294294294296296296296296296297296296296296296297297297297297297295295297298296296296295295296296296295296296296297297297297298298298298298299301299298301301299300299301300299300299299299299299300298298297297297298298298297297297297297297298298299299300300298299298298297297296296296295296295295295295295295295295294295294295294295295296296296296296297298298299298298298296296296294297296296296296295297297299297296298298297297297298296297296296294294294294295297296296295300295297294298296297296296296296298295296298299299299300298297296296297297298298296298297296295296294294295296296295295296295295295298296296296296297298297298298298298299297297298299299299299298298297295295296297297295295294295298298298299298297296300296294294296295294295297299301300301300300301304304304303303303304302303304303301303302301300302300301 302303304303999999999999999999999999999999999999999999999999999999999999999999999298298298300298296294291291290292291293291293293293293292292292292292292293293293293293292293292291291291290289290290291291292290291291291290289291290289289289289291291290291290291290290290291291290290289289288288288288287287287287287287287287287287287288288288289288289290289290289290290290289290290290290290290291291290289290289290288289288289290292292292292293294293296297296296299300301302302999999999999999999999999999999999999999999999999999999999999999999999999999999999288290290292292292291290291290289287288286287287286286289288286282277276282285286288289288289289287287285284285283285285285284284284286287284287287287289289287287288286287286284283284285286286287286285999285287287288289289290290290290290290290289289289290290292290290290290290290288289290290289289290289289289289290290290291290291291291291291291290290290290290290291290290291291291292291291291291291292292291291293292292292293292293293293292291292292292292292293292291291290291292292293292291292292292292292292292292293292292292292291292292292291292292291291291291291291292291291290291290290290289289289289290290290290290290291290291291291291292292292291291291292292292292292291292292291291292292292292291291291291291290290292292292292292291291292292292292292291292291291291291291292292291292293292293293292292292293293294293293293293294293295294295295294294294295295296294293294294294293293292293291293293294293294295295295294294295293295295295295294293295294293293294294295294294295295294294294294294294294293293293294294295296296296296295296296296296295296297297297296296297297295297296298297297297296296296297296296296297297297296297297298298298298298300300299301300300300300300300300298299300299300300300300299298299299298298299299298297298298296298298298299299298299298298299298297297296297297296296296295295295295295295295295296296295295296296296296296296297297298297298298298298297297297298299297296296296295298298298297298296295296296296298298296296296296294295295295297297297298299301296295297296297297296296294298296298298298299298297297297296296296297297296296294296295291294295294294294295296295295295296295297297299295298298296297298297297297297298297297299297298299297299295296295295295294295294294295298297299297295297297300294296297297296295295297298299301297300302304303304304303302304304303301302303301302300302302303302304 304306307309999999999999999999999999999999999999999999999999999999999999999999999999999299300299300296291290290291292294292291291293292292292292292292293293293293292291293292292291291291290289289289289290289289290290290290289289289290290289291290290292291290291290291290291291291290290290290289288289287289287287287287288287287288288288288289288289290289290290291290291290291291292292291291291291290290290290291289288288287287288291291292292293294295295297296297297298298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289292291291290292291291290290289289289288288286287286285282280286280289288288289290289289289288286285285285284284285286286284284287287286288288288288287289289289289290287285285286285285286286286285284284286287287288289289290289290290290288289289289289290291290290289289289289289289288288289289289289289290289289289290290290291291290290290290289290290289289290290291290290290291291291291291291292292292292292292292292292292292292292291292291292291290291291292290291291291290290292292293291292291292292292292292292292292292291291292291292291291291291291291291291291291290291290290290290290289289289289288289289290290290290290291291291291291291292291291291292291292292292292291291292292292292293291291291291291290290290290290291292291291291291291291291292292291292292292291290291292292291292291291292292291293292292293292294293293293294295294293292293294293294295296295295294294293293293293292292292293293294294294294295295295295295295294295295296297295295294294294295295295294294295294294294294293294293292293293293294294294295295295295294296295295295297296296297296296297297297297297297296294296295296296297297298297296297296296297296296297297297298299299299299299299300299300299300301300300300300300300300299300299300298298298299299298298298298297298298298299298298299298298299298298297297297297296297297296295295294295295295296296295295296296296296296296295296297298296296297297297297297297297299297297297295295297298298298298297296297297296297297296295295297296295296298297296297297300297296295297296296297298297296298297297297300299300298297297297296296296296298297295298296294292292293294294294295295295295295296297297296298299299298299299298297299299299297299298298298299296297296295295296295294296296294295298298295296296300297298297296297295296296296298299299298299299303303303303304304304304305302301302303303303302302301301301303 304304999303999999999999999999999999999999999999999999999999999999999999999999999999999999301301299301297294291291292293293293293293292292292292292292292293293292292292291291292291290291290289289290290289290290291291290290291290290290290291290290291291291291292292290291291290291291291291290290289289287288287287288288288287288288288288288288288289289289290291291291291292291292292291291291291291291290291291290289288288288289289290290291294296295295296296295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292289290292291290290290289289288287286285282281280284288288289289289289289289288288287287285285285285285286286286287288287288287287285285288288288289290290289286287286286286286286286287286284284286286287288289289290289289289289290290289289289289290289290290289289289289289289290289290291290290289289290290289290290290289289288289290289289290290289290290291291290291290290290290291291291291292292292292292293291292293293292292291292291293293292291291291290291291291292292293293291292292292292292292292292291292292292291291291291291291290290290290290289290290291291290289289289289289289289288288288289290290290290290290291291290290290291291291292292291291292290292292292292291291291291291291291290290290290290289290291291291291292292292291292293291291292292292292292291291291291290291291291291291292291292292293292293293294293294294294293293293293292294294295295295294294292292293292292292293293293292293294295295294294294295295295295296296296296296294294295294294294295295295293295294294294293293293292293293294294294294294294294295294296296296295295296296296296296297297297297296296296296296296296296296297297297297297296296297297298298299298299299299299300300300300300300300300300299300300299299300300300300298299299299298299297299298298297298299298299300300300299299299298297298298298296296297296296295295295295296295295295294295296296296297296296297298298296297297297297297297298298299298297296296297298298299298297297297297296296295296296296295295295295295297295294296300297297298295297297297297297297297296297297297299299299297297297297297295295296300298296296294295293292293295295294295295296296296297296297297298298298296297298298299298299297297298298299299299297296296296297296295295295296297296297296296297300298298297299300296297297295297297298299299300300302302303303304304305304303304303303304304304304302302302304303 303305999307999999999999999999999999999999999999999999999999999999999999999999999999999999999303300299297295291292292292292291292291291292292292292292291292293293291290291291291291291291290289290290290289290290291291290290290291290291291292292290291292291292292292291291292291292292291291291290290289289289287288288288288288288288288289288288289289290291291291292291292292291292292292292291292292291290291291291290289289289289291292294295296296295297297297294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291291291290291289291289289287283282280280285290289290288291289290289289289289288288287286285285286287286287288288288285286286286287287289288288289288288288287287285287286286286286285285285286288289289290290289289289289289289290289289289290289289289289289291289289290289290290290290290289289289290290290289290290289289289290290290290290290290290290291291291290290290289290290291291291291290292291293293293293292292292292293290292292292292291290291289289290290292292292292292291292292292292292291291291291291291290291290290290290290290290290289290290290290290289289289289289289288288288288289289289290290290291291291291291291291291292292292291291292292292292292292290291291291291291291290290290290291290290291291291291292291292293293292293292292292293292292292292292292292292292291290291289292291294291293292293294294294294293293293293292294293293295294293293292292292292292292292292293292293293294295295294294295295295296296295296297296296294294295295294293294295294294294294294294293293292293293293293294294294294294294295296295297296295295295295296296297297297297297296296296296296296297296296297297297297298297298298297298299299299299299299300301301301301301301300301301300300299300300301301301301300299299299299299298299298298298298299299299299299299300300300299298297298297296297296297296296295295296296295294295295296295296296295297296296298298296296297297297297298298299299299297295296296297297296297298298296297296297297297297296297297293295299296300299300300296298298297296297297296297297296296298298299300299301300298299298297296297297300296295294295295294293294294295294295296295297297297297298298298298298298299298296297298298298297297296298298297297296297297298296296296297295296297298296297297301296298298300299300297297297297297299300300302303304303302303302305305304306303303304304304302304303302301301305 304305304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298297295291292291294289291291290291292291292292292291292293292291292292292292291291290291289288290289290291291291290290290291290291290291291291290291293292291292292292292292291291292291291291290290289289288288288288288287288287288288288288289289289290291291291291292291292292292292292292292292293293292292291291291290290291292293294296296297296297298297298297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287290291291290290289290290999288286284281282287290290290290289290290289290290290288288288287287287287286285285285285287287286287285289289289289289289288288286287287286287286286286286286286286287288289289289289289289289289289289290290289290290289289291290289290290289289289290290290289289289289289289289290289290289290290290290290291291291291291291292292291291291290291292291291292291291292292291291293293293293292292294293292291293293292292291291291290291291291292292293293292291291292292292292292291291290291291291291290289290290289289289289290289290290290289290290289289289289288288289288289289289290290290291291292292292292292292293293293292293292292292292292292292292292292291292291291290291290291291291291291292292291292292294292293292293293292292292292292293292292292293292291292292293293292292291292292293293293293293293292293293293293292293295293292292291293293292293292293293293292293293294294295295295295296296296295297296296296296295295295294294294295295294294295294294293294294293293293293294294294294294295294294295295296295295293295295296296296296296297296296296296297296296297297297296297297297298298298298298299299299300300299300300301301301301301301302301301301301301301301301301301300299299300300300299299299299299298299299299299300299300300300299299299299299298297296297296296296295296296296295294294296296296296295295298297297297297296297297297297297297298298297297295296297296297297298297298299297297296297297298296294296299298300299298300302300300298299299297296297299297298297298296296298298298299299296297299298298298298297297294294294295294294297294295296294295295296296296296297298295298297297297298299298298298297297297297297296295295296295297297297295295297294294296297297297298299299298297296297298298300298298299298299300300301302303301304304303305306304302302304304304305304304304303304303304 301301302300999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299298294290290292291288287291290290292290291291292292291292292291291292291291289291291291289289289290290291290289289289290291291291291291290290290290291292292292292292292291291291292292291291290289289289289288288288288287287287288287288287288289289290291291291291292292292292293293293292292292293292291291292291291292293295295296296298297298300299299298298297297298302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287290291291290289288999291292290287289288290289290290291291290290289290290290289290289287287288287288286285285286285285286286287288288288290289288288287287286286286287286286285285285286286286287288288289289289289289289289289289289289289290290290290289289289289289289289289289289290290289289289289289290290290290290291291291291292291291291291291291292292292292292292292292291291292291292291291290291291290292293292292293292293292293293292291290291291291290290290291292292292291291292292292292291291291292291290290290291290290290290290289289289289289289290290290289289290290289288289289289289289289290290290291291291291292292292292292292292292292293292292291292292293292291292292292292292292291291291291291291289290292292292293293292292292292293293292292292292293293292292293293292292292292293292293293292293293294293293294293294293292292293293293292292292292292292292292291292292293292293293292293293293295295296296296296295294295295296296296295296295295296296294294294294294294294293293293293293294294294294294294294294294295295295295294294294294295295296295295295295295295295296297297297296296297297297297297297298298298299299299299299299300300300300301301300300300301301300301300300301301301301300301301300300299299299298298298298299299299298300300300301301300299299298300299298297297297296296296296296296296296297295295296295296297297297297297296296296295297297298299299298297297299298297296296297297298298298297296297296299299294299297298298297298300299298300301297297298299298296297298298298297297296297298298299297296296296299299296296297298296296296295294295295296295295294294296296296297296297297297296297297297297296299298299299300298297297298296296297295296298297296295297295293294296296297300299299298299298298299299300298299301301300300300301301303299303304305304305304304302302304303304304303305305306303304305 299299301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296294290291292291291289290289291290290291291290292292292291292292290291291292291290289290290290289289290290289289289290290290291291291290290290290291292292292291291291291291291291292290291290290288289288288288288288287287287287287287287288288289289290290291292292293292292293294294293294294293294294293294293293295296297298297298299298298299298298298297298298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288288290290291289286284287288291289290291292291291291291291291290290290289290291289291289290289289288287286286286286286285284285286287286289289288288289288287287287288288287286285285285286286286287288288289289289289289289289289289289289290289290290290290288289289289289289290290290290290289290290289289290290290290290290291291291291291291291291291291291292292292293293292292292291292292292291291291291291291292292291292293292291293292292291291291291291291291290292291291292292292291292292291291291291291291290290289290290291290288288290289290290290290289289289289289289290290289289289289290290290290289290291291291291291292292292292292293293292292292292291291291291291291292292292292290291291291291291291291291290292292292292293292292292292293293292292292293292293293292293292292292292292292292293293294293293293292293293294293294294292292292292292292293294293290291293292292292292292293293293294294294294293296295296296296295295295296296296295295296295295295295294294295294294294294293293293293292293293293292293293293293294295294294294294294294294294294295294294295295295295295296296296296296296296296296296297297297297298299299298299299300300300301300300300301300301301301301301300301301301301301300300300300299299299298299298297298298300299300300299300300300300300300298299299298298297297296296296296296296296296297296296295296296297297297297297296297297297298296298298300296296298297296296296297297298298297298298296296297298299298297297300297297298299298300300302298297298300301297299297295295295295297296297297297296297296299299299296297296296296298297295294295294296295294295294294296295297296296296296297296297296298297296297298298299298296298298294296295295295297297296295295295295295295297297298300299298298298298298299299298300301300300301300299300301301301301302303302304304303302303304305304304304304304304305304 297299297300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296292291292291291291290289290289291291291290293292292292292292291292292292291291291291291290291290290290290290290291291291292292291291291292292291291292292292291292291292292292291292291291290290290290289289288288288288288288287288288288289289290290291291291291291292292293295295297292293294298295295296296295294296298300300298299300299300298999999303301297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293291999999290288289289289290290290291289284283287288289290291291292292292292291291292291290290290290289289290289288289289287288287285285284286285286286286286287287288287287287288287286288286286286285285285286286286287287287288288289288288289288288289289290289289289289289289289288289289288289289289288289289289289289289289289289289290290290291291290291291292291291292291291291290291292293293292292292291291292290290290290291290290290291291291291291292292291293291290291291291290291290291291290291292292290291290292291289291291289290290289289287287288288287290290289290289289290288289289289289289289289290289289289290289290289290290290290291290291292291291292292292292292292292291291291291291291291291291291291291291290290291291291291292293292292292293293292292292292292292292292292293293292291293293292292291292292292292292292292291291291292292293293294292292291291292291291293293293293291291291291291292292292293293293293293293294295294295294294294293295294295295295294295294293293294294294294293294293293293292292293292292292293293292292292292292294294294294294294294294294293294294294294295295295295295296296296296295296296296297296296297297297298298298298298299299299299300300299300300301300301301301300301300300300300300300300299299299300300299298299298299299299300299299298299299300299299299299298297297297297296296296296296296296296295295295295296296296295296296295296297297297296296297297299296297296298295297297299297297298296297297296297298299299298298297297296297297296299298299296299299301301298298296296296296296296296297298299298296297297298296297297296296296296297296296297296295295295296296296295296295296296296296297298297295298299299298297299299298298298298296297296296296297296296296295296296298298297298298299298300300299300299300299300301302301302300303301301301302302302303303303303304306304305305304304304305306304304305305306 300299299299300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291290289291291290290290289290291291292292293292292292291292292292292291290290291290290290290290290290290290291290292292292292292291292292292291292292292291292293292291292292293291291291290291290290290289289288288288289288288289289289290290290290291292291291291294293294293296295296294293298297297296297295296298298299300300300302302298999999999296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294293293292291289288289289289289294291291290286285288289290291291292292292292292292291291291291290291292290290291291291289289289289288288286285286286287287286287287288288287288287288288287287288287286286286287287287288288288289289289288289288288288289288289290290289289289289289289289289289289289289290289289289289289290290290289290290290290291291291291292293293293292292292292291292293292293293293293293292291292291292290289290290290291292291291291292292292292292292290290291290291291291292290291291290292290291291291290291291290290289290289289288287288289289290290289289289289289289289290289289289290290289288288289290290289290290289291291290290291292291291292291292292292292292291291290291292291291291291290291291291291291291290291292292292292292293293291292292292292292292292292293292293293293293293292292292293292291292291292292292292293292292291292292292291292291292293293293292293293291292292291292292292292292293293293294294294294294295294294294295294295295295294293294293293294293294293293293294294292293293293292292292292293293292292293292293294294295294294294294294294293293294294295295295295295296296296296296296296296296296297297297297298297298298298299300299299299300300300302301301300301301301301301301300300301301300300300300300300300300300298298299299300300300300300300300300299299299299298297298298298297296296297297297297296296296295296296297297296297296297297297297297296296297297297296296298297297299299298298297298298298297299298299299300298298297297298297297297298297300297297299298298299299297297296296297299296298297298298299300300299297298298296297295296295295296296296296295295295295297296297297297296297297297296298298298298297299296298299298298298298297297297297296296296296298297296296298298299299298301301301302302299301299297299301301300302301305301302302301301302303303304304304303305305304304305305303304305303305304304 299297299298298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290290290291291290289289290291292291292292292292291292291291291292292291291290290290290289290291291290290291290291291292292293293293292292291291291291292292291293293291292291290291292291291291291290290290289289288288289288289290289290290290289291291291291291293293293293294295294296295294296299297296296297298298300301301302302302304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292291290289288289288288288294289291290288286289291292292292292292292292293291291291291292292291291291291291292291291290289288287288288287285287288287286287288288288288288288288289288288288288287287286287288288288288289289289288288288289288288288289289289290290290289289289289289289289289289289290289290289289290290290290290290290291291291290291292293293293293293292292293293293293293293293293292293292292292292291291290290290291291292292292291291292291290291292292290291291291292292291291291290292293291291291292291291291290290290290289289288287288289290290290289288289290290290288290290289289289289289288288288290290290289290290290291290290291291291291291292292291290292292291291291291291291291291290290291291290291291292291291292292292292293292292293293292292292292292292292292292293293293292293292292292292292291292292292293291291294291292292292292292292292292293294293293293292293291292292292292292293293293293293294294294294295295294295295295294294295295294294294294293294293294294293294294294293292292293293293292292292293293293293293293294295294294295294294294295294294294294295295295296295295296296296296296296296296296297297297298298298298298298299300300299299298301300300300300301301301301301301300300300300300301301300300301300300300300300300299300300300300301301301301301301301298299298298298298298298297297297297297297297296296296295296296296297297296297297297297297296297298297298297296297297298296299298298298297297296297296299298298299300299297297297297298297298299296300298298300299298298298297297296297297296297299297298299299299299297298297297297297298299296296296295296296297295295296298298297297297297298296296297297298298298298297297298299297297298297297297297297297299298298297297297298298297298301301300302301301300301301298301302303302302302299302301300300302299301301302303303304304305304305304305305304303304304303304305 298297298298300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290290289290290290290289290291290291291293293292291291291291291291291291290290290290290288290291291290291291291290292291292292291291290290291291292293291292292293292291291292291291292291291290291290290290289289289289289289289289290290289290290291291291292292293292293292294294294296296298298297297296297297298300302301300301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290290290289288287287287286291290290290288289290291292292292292293292292293293293292292293292292291291291293292291290289289289289287288288287288288287288287288288288288288288288288288288288287287287286288288287287288288289289288288288288287288288288289289290290289289288289289289288289288289289289290290290289289289290289290290290291291291292292291292291293293293292293292293293294294293293293293293293293292292292292291291291291291290291291292292292292290290291293292291291292291292291291290289293292291292292292292291291290290289290289290289289289289289289289290290290290289289289290289289288290290289289289289290289289290289291290290290290291291291292292292291292292291292291291289290291291292291291291291291290291291291291290292292291292293292292292292292292292292292292292293293294293293293292292292292292292291291292292291291291292291291292291292292292293293293293293293293293292292291292292292293292293292293293294294294295295294295295295295294294295295294294294294293294294294293293293293292292293293292293292292292293293293293293293293293293294294294294294295294295295294295296295295295295295296296296296296296296296296297297298297298297298298299299299299299299298300300298299300302300301300301301300300300300300301301300300300301301301301300301300300301299299300300300301299301301299300299299299299299298297297297297297296297297296296296296296297296296298297297297297297297297297297298297298297300299297297297297297297298298298297299296297296297296298296296296297298295298296295298299300298298299298298298297297297297297298298298298300299297297297297297297297298298297297296296296296298297295298298296297297296296298296296297297297298298298296296298299298298297297296298299300299298299299299299300299300298299301301300300301301302300302299301301301302302301303301301301300303301303303303302303304304305304304305306306305305304304304304303 302299299299299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289290289290290291290289291291291291290290290291290292291291292291292293291290291289290289289289290290291292292292291292293292290291290291292291292292292291292292292291291292293292292291291290291290291291291290289290289290290290291291290291291291291292292292293293293293293295296295296301298298297298298298300300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288287286287286286285287288290289288290292292293293293292293292293293294294294294295294294294292292293293292290291289289288287288288288288288289288288288288288288288288287288288288288288287287287287287287287287288289288287287288287287287287288289287290290289288289288288289289289289289289289289289290289290289288289290291291292291291292291292291292293292293293293293294293293294293294293293294293293293293292292291291291291290290291292291292292290292292291291290290291291291291291292290290291291290294291291291291290291290289289288289289288289289289289289289290289289289289289289289289289290290289289289289289289290289290290290290290291291291292292292292292292292292291291291291290290290291290291291292290290290292290291291291292291292292292292292292291291292291292292293292292292292292292291292292291291292292292291291292292291291291291292292292292293292293294293292292294293292292293293293293293292293293293293294295294294295294294294294295295294295295293294294294294294294293294294294294292291291292293293292292293293293293294294293294293293294294294294294294294295294294295295295295295295295295296296296296296296296296296297297297297297298298299299299299299299299300299300300300300300301300300300300300300300300301300300301301301301301301301300300300300300299301299300300300300300300300300299299299298298297297297297297296297298298297297296296297297296297296297297298297297297298299299298297298298299299298297297298298298298299298296297297296297296297297296296297298299297297297297298299299298298297296296297296298297297299298297298297299298298298298297297298298296298297296296297297296297297297298297298298297297296297297296298296298297298298297298299299298298298298299299300301300300298298300300300301299303303304302302302301302298301303300302301301302301301300299299300303301302303303303304303305304305304305305306305304304305304304305 300307302300300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289290288289289290289289290288290291290290291291292291291291291291291291290291290290290290289289291290293292291291292293291291291291290290291291291291292292292291291291291292292292292291292291292292291291290291291292292291292292292292291291290291291291291291291292292294293294295294297297297296297298297299299299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287286287287286285285287289289289290292293293293293293294294294294295294293294294294294296293292293292291290290290290289288288288288288288288288290290287288288287287287288288289289288288288288289288288288288287288289287287288287288288288287999289289290290289289289289289289289288288289289289289289289290290290290291291291292293292292292292293292292292292293292292293293293294294294294294294293293293293293293292292292292291291291291292292291289292292291290290290291291291291291291290291291291291293291291291290290291290288289288289289289290290289289290290290289289289290290289289291289290289289290289289289289289289289290290290289290291291291291291292292292292292291291290289290290290290291292291291290291290291291291291290291292291292292291291292291291291291292292292292292291292292294292292291292291292291290291291291291292292292294292292292292292292291293292293293293292293293293293294293293293293293294294295295295294294294294295295294294294294294293293293293293293293294294294294294292294291292292294292292292293293294294294293293293294294294294294294294294295295295295295295295295295295296296296295296296296296296297297297297297298298298298299299299299299299299299300300301300300300300301300300300300301299301300300300300300301301301301300300301300300300300300300299298300300300300301300299299299298297297297297296296297298297297297297298297296296298297296296297297297298298298298298298299300299299298298299298297300300297298298297299297298296297295295295296296299296295297299299299298299299299298298297296296297297299297297298298297298298298299297298296296296297296296296296297296297298297297297297297297297296297297296297298299298298298300300300297299298298299300300301300296297297299300300300301303304303303302303302301301302301300299300299301300299299299299299299303301302303303302304304304304304302304305303303304305305303303304 301304307302301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289289289289289289289289288290289290290290291293290291291291291291293291290291291291291291291291292292292293291292294291290291291289290291291291291292291291291292292292294293293292292292292292292291292292292293292292293292293292292292292292292292291291292292291294295294294294293296296294295297298298300300298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999999999999999999288289287286287286284284286288289289289291292293293294294295295294295295295294295294294294294293293293293293293291290290289290290289289288288288288288288289288288288288288287289289288288288288287288287288289288288287289289288288287287287288287288999288288289290289289289289289288288289289290289288289289290290290290291291291291291292292292291291292292292292292292292293293292292293293294294294293292293293293292293291292291292290291290291291290290291291290289290289289290292291290290292291291291291291292290290290291290291290289289289289289288288290289289290290290290289290290289289289291288290290289290289288289289289289289289290290290290291291290293291292292290292292292290289289289290290290291291290290290290290290291289291290291291291292291291291291291290291291291290291292292292292293293292291292292290291291291291291291291291291293291292294293291290291291292292292293292293293293293293294293293294293293294294295294293294293294293294294293294294294294292294292292293292293293293293294293291293291293292292292293293292293294293293293293293293294294295294294294294295295295295295295295295295295295295295296296296296296296296297297297297297298298298298298298298299299299300299300300299299299299299300299300300300300300300300300301300301301301300300300300300300301300300300300299299299300299299299300300299298298298298298297297298298297297297297297298296298298296297296296297298298298298299298300298299299299298299299298300299300299298298298297298297297297297296295298296297298297298298298301300298298298298297297297297297297299299298297298299299300299299299298297297297297297296296295295297297297296296297296297297297297296297297297297298298299301299300300300300299299300300298302300298298299300301301301300302301303304303302302300303302302302302302301301299300299298299301300301301301302302302305306303305304302302303302302304305304304303303 302306309306302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290289289289289289288289288289288289288289289289291292292291292291290292291290290291292290291291291291291291292292291291291287291291288291291291291292292291290292292293292294294295295293292292292291291293292292293293293293292293293292293293292292292291293292292293296296296297295296297295295295297297299301299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289999999291291291289288286286289286287285284286287288289291292293294294295295294296294295295294293294295295296295295295294294294293293292290290291291290290289289289291291290289289288288288288288288288290288288288288288288288288288289287288289289288287287286287288289292999287289289290290289288289288288290290289289288288289290290290291291291291291291291291291292292292292292292292293291293293293293293293293294294294294293293293293293291290291291291292292293291290289289290289290289290291292292291289291289291290291291291291290290290290291291291290289289289290289289289290289289290290291290290291289289290289290290291290289291290290289290290290289291290290290290291291292292292293292292292292292291290289290290290292292290290290291291291291290291290290292291291292292291291291291291291290290291291292292292291292292291291292292292292291291291291291292292292292293293293292291291291292293292293294294293293293294293293294294293294294294294294294294293294294294293293293293293293293294293293293294292293293292292292293292293292292292292292293294293294293293293293293294294295294295293294294295295295295295295294295295295296296296296296296296296297296296296297297297297298298298298298298299299299300298300299300300299299300300299300300300300300300300300300301301301301301300301301300300301300301301300300299300300300300300300300299299299298299299299298298298297298297297296297298297297297298297298298298298297298299298299299299299299298299300300300299299299299298297298296296296296297297296298298296298297297298298299298298298299298297297296297296299299298298298299299299299299299299299298298297297297295295296297296296296296296297297297296299299299297298298300301300298298300300301301300299299299299298301301298298301300301301301301300303303302301301302302301303301301302302300301303301299298301302303302303303302302302305305304304303303303303304303304306305304304303 301303302307301300305999999999999999999999999999999999999999999999999999999999999999999999999999999999291290289288288288289288289288289288288288289290289292291291292292292292291291289291292291292291292292292292291292292292291288289291291292293294290291291291291291292293294294293294295294294292292292293292292291292292292294293293293294292294294293293293294293293294294296295297296297296297294296296296298301303297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999289289289289288287287286286288286286286286286288289290292292294294295295296294293293294293294294294294295295295295294294293293294293292290291291291290290290289290290291289289288288288288288290289290289289289287287287288288288289291287288290289289289288287288288289291288288288289289288288288288287287287289290287288289289289290290291291291290291292291291292291292292293292292292293293293292293293293293294294294293293294292293293293292291292291292293293292292288291290291291289289289291291291290289292291292292291291290291290290290290290290289288289289289290289290289289289290290289290289289290290290290290290290290290290290290290290290289289290290290291291290290291292291291291292292292293291291289290290291291292291291290290290291291291289290290291291291291292292292292290290290291291292290291292292292291292292291291291292291292291291291292291292292292293293293293293291291291292293293293292293293292292292293293293292293293294294294294293294293293293293293293293293293294293295293293294294293293293293292292292293292292292293293292293294294293293294293294294294294294294293294294295294295295295295295295295295295295296295296296296296296296296296296296297297298297298298299298298299299299298298300300299299299299300300300300300300299300301300301300301301301302301302302301301301300300300300300300301301300300300299299298300298298298298299297298298298298298297297298297296296297297298298298298298298299299298298298299299299299300301301300298299299299301298297297295298298296297297297298298295296296298299298298299298298298298297298299296298297298298297297300300299300298298298298298297297296296296296293294296296295296297297298297298299299299297299300300301300301301301301301301302301300300302302301301301302303301300302302303302303303301301301301300302300303303301300299300299303299299302302302301303301302302302303304304303303303303303303304304305305305303302 301309308309308297304303999999999999999999999999999999999999999999999999999999999999999999999999999999292291290288287287287288288288288289289289290290291292291292291293291290289290292290290291291291291291291290290290289290291289291291291290291999999291292290292292293293294294294293293294293293292292292292292291292292292293293293294293294293293294294293294294294294296294297297297298297296295296294297299300302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999292292288288288287286287286286287287285286286287288288291291292294294294294294293294292292293293294294294295295294294294295294295294294294292291292290290290290289292290290289290290289288289290290290289289287287289288288288287288286289290287289289289289289289288288289290999287288287287287288288288289287287288287288288288288289290290290291290291291291290291291291291292292292293292293292292293292293293292294293293293293293293293293292292292291292291291292295293290292293293292291289289291290290290290290291291292292292291291290290289290290289290289288288289288289289290289290289289290290290289290289290290290291291290291290291290290290289291290290290290290290291291291291292291292291292290292291293292292292292290291291292291289290290291290290290290290291290290290291291291291290290290290289290291291291290291291292291290291291291291291291292293291291292291291292293292292292292293291293293293293292293294294294291293292291293292292291293293294293293293294294293293293293293293294294293293294293294293293293292293292291292292293292292293293293293293294293292294294294293293295293294294294294295294294295295295295295295295295295295295296296296296296296297296297297297297297298298299299299299299298298298299300299298299300300299299300300300300300300301301301300301302301301301302302301301301300300300300301302301300300300300299298298297298298296297298298298298299298297297297297298297297298297297298298298298298298298299298299298298298299300301298297299300299299297297296296297297296299297295295294299296297296297299299298298299298298299297297297297298298297298298297299299299298297297297297296296295293296297296294296295294295296298298297298299300301302302301299300302300300300300302301301301301301301301302302302301300302301301302302302302302303301301299300300300301302301299299300300297299301301302302302302301302303302303302303302303302303303303304304304303303302302 303308307304303303305999999999999999999999999999999999999999999999999999999999999999999999999999999999294291290288288287289289289289287288289289289290291291290289291292291291291291290290290291291291291291290290289291290290291291290291291291999999999999291291291292292293294293292292291292293292292293293292291292292291292292293295294295294293294295295294293295296296294294297298297297297295295296297299300301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293293291287287286286287287287287287286285287287287288290291291293294294294292294294292292292292294294294294293292293294295295294294294294294293292291291291290289290290291291290290291289289289290290289289289288288289290288288288289289289289288289289289288288288289289290287288287287287288289288288288288289288288288287287287288289289289290291290290290291291291291292291293291292293292291291292293292292293292293293293293293293293292292292291292292292292293293293292292291292291290291290291289290289289290291290292293290290290290290289289289289289288288288288290288289290288289290289290290289290290289291292291292291291291291291291291290289290290290291291290291290291291289291291291290292292292292291292293292292291290290292290290290290291291290290290290290290290291290291289290290290289289289289290289290290290291291291292292291291291292291293292292291292292291292291292291290291293292293292294293293293293293294293293292293292292292293293293294292292293292292293294293293293293293293293292292293292293293293293293293292292292292292292293292292294293294294292292293293293293293294293294294295294295294294295294295295294294295295295295295296296296296297297296297297297298298298298298299299298298299299298299300299299299299300300300300300300300301300301302301301301301302301302301302302301301301300300301301302302299299299300299298297297296297296297297298297297297297297297297297299297297297298298298299298299298298299298298297297298300300300299300299297299299299299297298299297297296294299295296296298298297299298298299299298298298299298298297297297298300297299300298300299300299298298297297296298297296296296295295296297295297297297297296296299299300301302302303301301299299301301299300302300302302303303302302302301301302300301301301301302301301301301301302300301299301300300299299301300300300303302302302302301301303302302302303302302302302303303303303303303302302302 304304308306306304303301999999999999999999999999999999999999999999999999999999999999999999999999999999294292289288288288288289288288287288289288288291290289289289290292292292291291290290290291291291291292290289290290290290290289289290289289289999999999290290291292291292293293292292292291292292292292293293292292292293292293293295294294294294294294295295296296296298297297298297297296296297296296297299299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292290288286286286286286287287288286286287288288288288291291293294294293293293294293293292294294294293294294294294294294295294294295294294294293293292293292291290292290291290291291289289289289290290290291290289290290288288288288288288287288290288289288289289289289291288285286288288288289290288289288288288287287287287288287289290288289291290290291291291291292291292292291292292292291291292291293291293292293293293293292292292292293292292290293292292291292292291292291291291291292291291291291289289290290290291290291290289290289289289288288288288288287288288289289289289289290290290289288290290290291292291291291289291290290290290289289290290289289289290290290290289290291291292292292292291291291292292292291290290291291291290290290290291290290290290289290290290291290290289289289289290291290290290291290290290291291292292291292291291292291293292291292291292293292292291293292293293293292293294293293293294293293293293293293293293293293293293292292293293293293292293293293292292292292292292293292292293293293292292292292292292292292292293294293293292293294291292292292293294294293294294294294294294294295294294294295294295295295295295296296296296297297297297297297297298298298298298298298298297298298299299299299299299300300300300300301301301301301301301301302301302302301302302302301301301300300300301300301301300300299300299298298296298297297298297297297297296297297298299297298298297298298298298298299298298298299298298298300300300300299300299299300299300298298299298297298297297299296296297298298298299298299298298298299299299298298298298299299298297298299299299299298298298297297297297297297297295296295296296296297297299298298297299300300300301301301302301302300301302301301302302302303301303302302302302301302301302301301301300301303300301300300300300300301299299298300298301300301302300300302300302302302303302302302302302301301302303303303303303303302303303 300303304304304300302304302999999999999999999999999999999999999999999999999999999999999999999999999294294291289288288288288288288288287286287287289289289290290290290291292292291291291291290290291291291290290290290290291290290290290290289289288290999290290290291291292292292292293292292292292292292293293293292294293293293294293293295294294294295295294296297296297297297297297296296295296297296296297298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289287286285286287286287288287287286285286288289290291292291294294294294294294293292294294294294293293294294294294294294294294293293294294293294292292292293291291291290290290289289289289290289289290289288289288288288288288288288285285288289289289289290288288287287287286287289288288289290290288287287287287286288288287287287288289289290290291291291291292291291290291292292291291291291291291292292293294293293292291292291293293293293292292291292291292292291290291292292293292291290290289292290290290291288291290290290289289289290290289289287288287288288289288289289289289289290290289290290290291291291291291291291291290291290290290289288289290289289290289289289289290290291291292291292292291291291292291291290291290290290289290290290291291291290290290290291290290290290289289289289289290290290290288289290291291292293293292292292291292291291292292292292292295292291291290292292292292292292293293293293294294292293292293292293292293293293293293290291292292292292292293291292292292292292291292292292292293292293292291292292293294292292293293293292292291292293293292293293294294293293294294294294294295294294294294295295295295295296296295295296296297297297297298297297297297297297298298298298298298299299299298299299299300300300300301301300301302301301301302301301302302302303302302302301301300301301302300300301299300299299298298299298298298298298297297297297298297298297299298298298298298298298298298298299298299300299299299300300302300300300300299299299301300298298298299298298298299300297297298299299299298298299298299301298300299299298299299297299298298299299298298298299298297297297298297296296295296296295296297297297296298298298300297300299297299300301301302300300302302303302302302303302302303302302302302302302302301302301302301302302302301298299301301299300300301300300301299301302302301301301302302302303302301300301301301301301302302302302303303302302302 300300302303301304301301301301999999999999999999999999999999999999999999999999999999999999999999999999293290290289287288288288288288286286285289288289289289289290291291291292292291291292291290289290290289290290290290290289290289290290289289288287289289290290290291292293293292293292292293293293294294293294294294294294294294294293294294293294296296297297298297297297297297296296297296295297296296296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296291286285285287286287287289287287286286287290292293292292292293293294294293293293294294294293293293293295294294294294294293294294293293294292293293292293292291292292291291291291289289288289290289288289290290290289288287288288999284285287287289289290288287288287287288288289289289287288288287287286286286287287287287286287288288289291291290290291291292291291290290290291291291292292292291290291291291291292292291292291292292293293293293292292291291291291291290291292291294293292289290290290291291291290290289289290290289289289290289289288288288288288290289289289289289288289290290290290291291291291291290291291291291291290290290290289290289289289289290289290289288289290291291291291290290290292291290290291290290290291290289290291291291290291290291290290289290290290289289288288289289290289289289289289290290291291292291292290292292291292292291292292293292292293292293291292292292292293293294292294292294294294293292292291293294293293293294291291292293292292292292292292292291292292291291292292292292293292292292292292291294294292291292294291292292292292292292292292293293294293294293294294294294295295294295295295295295295295296296295295296296296297297297298298298297298297297297298299298298298299299299299300300300300301300300302302301301302301301302302302301302301301301302302302301301300301301301300301299301300299299298298299298298298298298298297297296297297297297298298298298298298298298298298298299299299299298300300300300301300300301299300300299300300299297298298298297298300297298299299298299299299299299300300298299299299298298298299297298299298298300298299299299299298296298298298297297295296297297298298297295296297297296298300299298297298301301302300300302300302302303302302302302303302302303303302302303302301302301302302301301300301300299302300301301300299301300298299303304303300301301301301302302301302300301301300301302302302302302302302301301302 301301301301301299300300301300303999999999999999999999999999999999999999999999999999999999999999999999293291289288287287288287287286289288288288288288288289289288290290291291291292291292291291290290289289289290290290290290290289289290290289288290290290290291291291292293293291291292293293293294294295295295294293295294295296296295295294295295296296296297296297297297298297296297297297297297296296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289295294289286286286286286286287288288287291287288289289290289290293294294294294294295294295294294293293293294294295294294294294295294294293294293292292293293292293292291291292291291290290289290288289289289289289289290290290289290289289290999283287288288290289288289289290290288288288288288287287287287287288287287286286285285287287289289290290291290291291291291291291291291291291291291291291291291291292290290291293293292293292292293294293291290292292292291292292292291292290291289292289290290290291292291291290291291289289289290290288288289289289288288289288288289290288290288289289290290290290290291291291290290290290291290291291290290289290289289289290289289289288288290290290291291291290290290291292290290290290290290290291289289290290290290290291291291290289289290290290289289289289289288289289290290289290290291291290291291291292292292292291291292292292293293293292293293291293292291292292293293294293294294294292292292292291292292292292292292293292292292292292293292292293292291291291291292292292292292293291292291292291291292292291290293292293293292293293293291292292293293293293293293294294294295295295295295295295294295295295295295295295296296297297297298298298298298298298298298298298298298299299299299299300300300301301301301302302301301301302301302302302302302301302303301302302302302301300301300301299300299300299299298298298298298298298297297297298298298298297298298298298298297298298298298298299299299299299299300299300300302299300300298300300299300299298297297298297300300298298299299299299301300299299299300301300299299298298300298298299299298299299298298298298299297297297298297298298298297298298298299298298298297298299300300300300297300299302301302301300302302302303302301301303301303301302303302302303303302301300301301302302301301302301302302301299300302300300299301301302302300299301300301301301301302301301300301300300301302302302301302302301300301 300301302301300299297299300300304999999999999999999999999999999999999999999999999999999999999999999999296292289288286286287284287286288288288288289288289289288288289288289290291291292291291290290291289290289290290290289289289289289289290290290290290290291291291291292292292291291292293293293293294295295295294294294294295297296296295295295296295295296297296297298298297298297297296297297298295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291295293292288285286285285286286287287288287288288289288289291292292293292293293294294294295294293293294293294294294294293293294294294295295294293291291292292293294294293293292292291290289290289289290290290289289289290289288290289288288289289999290286288288289287287289289288288289289288288288288289287287288287287286286285285285287286288289289291291291291291291290291290291290291290291290290290290291291292291292291293291291291294293293293291291292292290291291292292292292291290290292289289290291290290290291291291290291289288289290289289289289289288289289288289289289289290290288289289289290289290291291292292291291291290291290291291291290290289290290289289289290290290289290290290291291290291290291291290289289289290290291291290290290289289290290291292291290290291289290290290290289289290289289289289290289290289290290291290291290291292292292292291292291293292292293293293293289292292291292292292294294295293293294292292293292291291291292293292292292292292292292292291291291292292291291291291291292291291292293293292292291291292292290291291290293291291292292292292292292291292293293293293293294294294294295295295295296296295295295295296296296296296296296297297297298298298298297298298297298298298298299299299299299300300300300301301301302302301301301302301302302301301302302302301302302302302301302302301302301300300300300300300299298299298298297298298297297297297298298298297298297297298298298298298298298298299299298299299300299299299300300299299300300300299300298297298297298297298300298299299299299301300300301301300299299298300300299299299299299299299300298297299299299299298297297297297298298299296299299296296299299298299299297299300301300300300299299301301302300301303302302303303303303302302301302303302302303302302302301300301301300301302301301301301301302302302302302302301299300300301300302301301301302300301301302301301301300300301301301301301301301301300301300 301302301301300299298299300302303303999999999999999999999999999999999999999999999999999999999999999999293291289288287286286285286289288289289288289289288288288288289289289289290291291291290291291291290290291291291291290290290290289290290290290290290290291291292291291293291291292293292293294293293294294294294294294295296296297297296296296296296296296296297296297298298298297296297298297297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292290286285285285285286287287287287288288289289291291293293293292294294294294294294294293293295295294294294294294294295294294294295294293292292291292293294294294293293292293293290290290289290291290289289288289289289288288288288289289289287287289288287288288288290288288289288288289289287288287286287287286286285284285286286287288288289291291290290290291290290291290289289290289289289290291291292292291290291292293290291292292293293293291291289290291292292292292292291291292292288289290291291291291290290290290290290289290289288287288288288288289288288289289290290290290289290289289289289289291291291291290290291292292291291291291290290290290290290288289289289290290289290290290290290290289291289289289289289290291291291291290290290290290290291290290290289290289290291290289288289289289289289289289289290289289289289291292290291290292291292293293292292292291293293293293292293293294292292294293293295294294294293293292291292291292293294293292292292292291292292291291291292291291291291291291292291292292292292292292291291292291291291291291291289290290291292291291292292292293293293293293294294294295295295295295296296295295296296295296296296296296296297297297297297298299298298299298298299299299299299299299300300300301301302301301302302302302301301302301303302303302302302302302302303302302302302303302301301302300300301300299299298299298299299298297298298298298298298298298297297297297297298298298298299299299299299298299300300300299300299298300299300299300299298297297298299298298299300300300300300300300300300300300300301299300299299299300300299299299298298298299297296297297296299296299298298298299299297298298299299297299300300301300300299299300300300302303304303304303303303303302303303302303301302303303303302302302301301301300301302301302301300301302302302302301302300301301301301301301302302302302302302301301301301301300299300300301301301300300300300300301300 300300301301300298297299300302303303301999999999999999999999999999999999999999999999999999999999999999293289289288287285285287288288288288288287287287287288289288289289289289289290290290289290290289290291291291291291290290290290289290290290290292291291291291293293292291291292292293291293294293293294294294294294295296296297298297297296295295296295296298297297297297299297298297298298298298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291288287286286284284283284285286287287288288288288289291291291292293293294294294295295294294294294294294294293294294294294293294294294294293293292292292292293294294294294294294294293290290290289289290290289289289288288288289289289289289288290289289288288288288288289289289288289288288290288287287286288287287286285285285285285286287288288290291290290290290290290290291290289289289290289289291291290290290290291292291292292291293292293293293291292290289292292292292292292293290291292290289290291291291291291289290290290290290290290288289288288288288286288289290289289290289289289289289290289290290290291291291291291291292291291291290289291290290291291291290289289289290290288290290290289289290290289290289289289290290290290291291291291291290290291291291290291290290291291291291290289289289289289289290288290289289290289289291290292292292291292293294293293292293292293294294293292293292293292291293293293294296294295293293293292292291291293293293292292291292291292291291291292292291291292292291292292291292292292293292292291291292291291291291291291290291291291292291292292292293293294293293294294295295295295295295296296296296295296296296296296296296296296296297297298298298299299299299299299299299299299299299300300301301302301301301302302302302302302302303303303303302303303302302302302302302303303303303301300302301301301300301299299300299299299299298298298298298298299298298298297297297297298298298298298299299298298299300301300300301301300299299299298299298300300299298299299299299301300300300301300300302300301300300301301299299300299299299300298299299299300299299298298298298299297297298298298298300299299297299298297298297298300301302302301299301301301301303301301302304303303303304304303303303303303304302303303303303302302301302301301302301301301300300301302302301302301301301301301301302303303301302302302302302301300301300301301301301300300300299299299299300300300 300301301302299298298300297298301301298999999999999999999999999999999999999999999999999999999999999999292290288287286286284286285286287287288286287287288288288288288287288289290289289289999288289289290290291291291291291290290289289289290289289290291290290293292292292291292292292292291293293294293294295294294294295296297297297296295296296295296296297297296298297298298299300299298297294299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293291288285284284284283284285285287287287287287288289291291292292293293293294294294293294294294295294294294294295294294294293293294293293293292291291292292292293294294294294293293293292291289288289291290288289289289288289289290290290291291288289290289288289288289289288288288287287288287286287286287287286286285284285285285285286286288288289290289289290290291289289290289289290289290290290290289290290290291291291291291292291292292292292293293294292292292293293293293293293291292290290290290290290291291292291292291290290290290290289289289289288288288288290289290289290289289289289289289289290290290290291290291291291291291291290291291291290291291289290289290290290290289289290290290289289290290290289289289289290290291290290291291291291291291291291291292291290290291292292292290290289288288289289289289289289290290290291290291292291291291292293293292292291291292292292292291292292293292291291292293292294294295294292291293293291291291291291292292291289291291292291290291290294291292292292291291291292292292292292292291291291291291290290291290290290290291291292293292293292293294294294294294294294295295295295295295296296296295296296295296296296296296296296297298298298298298298299299299299299299299299299300300301301301301302302301301301303303302303302302303303302302303303302303302302301302302303302301301300300300301300300299299299299299299299299299298298298299298299298298298297297297298298298298298298299298298299299300299299300300300298299299300299300301300300300298299300299298301299299300298300300301300300301300300299300299299300299299298298299298299299300298298298298299299297298298298299298300297297296299298297298297298298303302300299300302302303303303301304303302302302303303304303303302302302302302301302301301302301301301300301301300301302301300301301301301301302301301301299301302302302301301302301302302301300300300301300300300299300299299300298299300300300 300300299300299297296298296300298298296999999999999999999999999999999999999999999999999999999999999999293291288287285284286286286287287286288287287288289288288288289287286290289289288290288289289290290291290291291291291291290289288289289290290291290292291292293292291292292291291291292292293293294294295295294295295295296297298296297297296297297297297298298298298298299300300300297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290285283283283283283285286287287287287288289290291292292294293294293294294293294294294295294294293295295295294294293293294294293292293292293292291292292292293293293293293294295293291290291291292291291289289289289289291291291290291291289289289289289289289289289288287287287288287287286286287286285285285285284284284284285286286288288289290289289290289288288288288287289289289288289290291290290290290290291291291292292292291292291291293293293291292293291293293292292292289291289290290291292292292291291292292290291291290291290289289290289289289288289288290289289289290289289289289289290290290290291289291290291291291290291290290291291291291291289290290290290290290289289290289289290289289290290289289290290290291290291290291291292291291291292291292292292292291291291291289290290289289289289290290289290289290290289290290290291292291291291292292293292292291291292292292292292293291290291292292292293294295294293292292292291291290290289290290290290290291290291293292292291292291292292292291291291291291291292292291291291291290289290290290289290290291291292291292292293293294294294294294295294294295295295295296295296296295295296296296297296296296296297297297297297298298298299299299299299299300300300300300301301301302302302303302302301303302302303303302303303302302303302302303302302302302302303301301300300300299299299300299299298299298299299299298298297300298298298299299298298297298297298298298298298298298299299299299298299300300301299299300300300300300300299301302301300301300300299299299299300300301299300301300299299300299299300300299299299299298298299298298298298297298299298297299299298299300298298297298297298298297300299301301301301300300301302303302303304303302303302303303304304303302302301300302302300300301301301301302301302301300300301301301301303301302301301301301301300300301302302301302302302302302301301301301300300301299299298299299298299300300299299 300300299299297296297298297300297296299999999999999999999999999999999999999999999999999999999999999999293289288287286286286285285286286287287288287287287289289289289289290999289290288288289289291290290290291291292291292291290289289289288288290290291292294294293292290293293293292291292293293294294294295295294295295295296298299298297297297297298300299297298299299298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292287284284283283283284285286287287288289289291291292292293294294294294293293294293293294295294294295295294294294294294294294293292292293293292291291291292292292292293294293293293292291291291291292290290290290291291291292291290291291291290290290289289288288288288287287286285284284285286286285285284284283283284283285285286286287287290289289288289288287287287288287289289289289289289288289290290291290289291290291292292292293291292292291293291292291293292291292293290291289289290290291292291292292292290290291291290291290289289290289289289289289288289288290290289289290289289290290290290290291291290291291291291290290291292292291291289290290291289290291291290290290289289289290289289290289289289289289290289290290290290290292292291291292292291291292292291292291290290290289289289289289289290290290290290290290290290290292292291291291291292293292292292292291292291291292291291292291291292292294293295295295295293292291292292292292291290288289289291291293292291291292292292291292291292293291292291291291292292291291291290289290290290290290290290291291292292292292293293294294293294294295295295295295295295295295295295295296296296297297297297297297297297297297298298299298299299299299300300300300300300300301302301302302302303302302302302303303303303304303303302303302302302302302302302301302302301301301301299300299299299299299299299298298299299298299299300299299299299299298299298298298298298298298298298298298299300300299300300301301299300300300300300300301301302303301300300300300298299299299299301300300300300300300300300299299300299299299299299299299299299299298298298299298299299299299299299298299298298298298298299298299299300301301300303301302303304304301302304304304303305304304303303302301301299303302300300301301302301301300300301302301300301301302303302301301300300299300301301301301301301301302301301301300300300301301301300300299299299299299299299299300299 299298297300300298298298298298300296296999999999999999999999999999999999999999999999999999999999999999291290288287286286286283285286286287288287287287288289289289289290289290290290290289291290291290290290290290291291291291290290290290290290291291292292294295295294294293293294294292293293293293294294295295295295295294296298299298298297296295298299297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293289285284284283284284285287287287288289290291292292292292292293294295292292294293293294295294295295295294294294294294294294293292293293292292291291291291292292292293293293293293294292291291291291290290290291291291290291289289291290291290290289288288288287287286286287285284284285284285285285284284283283284284285285285286286287289289289289290289289287288288289288287289289288289289288289289288290290290290291291292293293293292292293293291291291293292292292292292291291289290291289289290292291292292290291291291291291290290290290289290289288289288289289288290289290290290289289290290290291290290290291291291290290292292292290290291290289289290290291289290290289288289289289289289289290289289290290289289289290290290291291292292292292292292291291292292292290290290291291290290289289289290291290290290291290290290291291291292291291292291293292292292291292291292291292291291293294290292292292292294295295294294293293293292292291291291291290290290290290291292292292292291291291290290291291291291291291291292292291291291291290290290290290290291291291291292292292292293293294294294295295295295294294295295296296296296296296296297297297297297297296297297297298297298298298299299300300300301300301301301301301302302302303303302302303303303302303303303304303304304303302302301302302302302302301301301301301302301300299300300299299299299299299298299299299299299299300299299298299298298298298299298298298298298299299298300300300300300300301300299299300299300299300300301302301302300301301299299299300299300300300300300300300301300300300300299300300301299299299299299300298299300298298298298299300300300300300300299298298299299301299301300301301304303302302302303302303302303303303304304303303303304301303302301302301301300300300301301301302301301302302302300301301302302302301302300301301302301302302302303301302302302301301301300301301301300300299299299299299299299299299300300 298297298297298298299300299299300300297298999999999999999999999999999999999999999999999999999999999999999285285286286286286999285285287286287287286288288288289290289289291291291290290290290290291290290290290291291290290291291291291290290292291291291292292293294294293291293292295292293293294294294295295295294295296296298298298298298297294295298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296289286285284283284285285287287287288289289291292292293292293293294293293292293294293294295294295295294294294294295294295294293293292292292292292291291291291292292293293294293294294293292290292291291292292291291291290290289290291286288289290289288289288288287286286284284284284285284284283283283283283284284285286286287287287290290290289290290288288288287288287288288288288288288288289289289288288290291290290292292292292292292292291291291291291291291292291291291291291291291291291291291291290291292292292292292291291291290290290290289289290289289289290289290288289289290289289290290289290290290291290291291291292292292291291290291290289290290290291290289291289289289289290289289290290289290290290290289288290290290291291292292292292292292292291291292293289290291291291290291290290290290290290290290290290291291291291292292292293293292293294292293292292291292291292293292291293292291292293292293294295294295294293292291291291291290290292290289291290291292293292292291291291290291291291291292291291292292291291291290291291290290290291291291291292292292293293293293292294294295295295295296296296296296296296296296297297297297297297297297297297297298298298298299299300300300300301301301301301301301301301303303303302303304303303303303303304304303303303304304303303302302302302302302302302302302301301302301302300300300300300299299300299299299298299299299299298299299298298299299299297299299298299299298299299298299301300299300301301300299300300300299300300299300302300300300300301300299300300300300300300300300301300301300300300300300300299300299299299300300299299299299300299299299300300300300300300300300299299300300300300302301301301305304301301302302302302303303303302305303302304303302301301301304302300302301300301300302300300302302302302302301303301302302301301301301300303302301302302302302302302301302302301301301301300299300300299299299299299298299299299299300 999999299298300299299299299299301300298298298300999999999999999999999999999999999999999999999999999999999999999286286287287287285285286287288288286288289290290290290290289291291291292291292292292291291292292292291291291293292290291292292292291292294293295294294293293293293293294294294294293294294296296295295295296298297297298299298298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287285285284284285286287287288287288289290292291293292293293293293293293293294295294295295295295294295295295296295294293294293292292293291292291292292293293294293294293294294294293293292292291291292292293291291291291290290291289290290291290288288288288286285284283283283283283284284283284283283284285285286288286285283286288289289288289288288288288288288288289289288288288288288288291288289290290288289290290291292292292292292291292290290291290290291291290290291290290291292291292291291292291292292292291292292292291291291291290290289290289290289290290289289288290288289289290290289290291290289291291291292291291291291290290290290290290290290290291290290289291290290290290290290290290291289290290290290290290291291291292293292292292292292291292292291291291291291291291292291291291291290290290290290291291291291291291291291292292293293292292292292291291292291292292292291292292290291293294294295295295295296294292292292291291291291291290290290291292292292292291291291290291290291291291291291291291292291292292291291291291292291291292291292292292292293293294295294295295295296295296296296296296296296297297297297298298298297297298297297298298298299299299300300300300300301301301301302301301302301302302303303303303303303303305302303305304304304303304304302303302302302302302302302302302302302301302300301301299300300299299299300299298299299299299299299299300299299299299299299298299299299299299299300299301299300300300300301301302301300300302302301302302300300302300300300302300300300301300300300300300301302301302301301301300299301299299299300299300301300300300300299299299300300301300301300301299300300300301300301300300300301301303303303302302303302302303303303302304303302303302300301302301300301301301302301302301301301302304303303302303302303302302302302301301301302302301303301301302302302301302301301301301300300300300300300300299300299299299299299299299299 999999999299300299299300299297299298300298298300300300999999999999999999999999999999999999999999999999999999999999288288288287285285287287287288288289289290291291291290291290291292291291290292292292291291291292291292292292291291293293293292292292292294295295294294295290292292293294293294294293295295294295295295296297299298298298298298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287285284284285285286286287287288288289290291291293293293293293293293293293293294294294295295295295296296295295296295294294292292292292292291291293292294293294294294294294294294294294293294294293292292292292292292291291292292292291290290289288288287287286285284284284283283283283284283283283284285285286287286286283283999287288288287287289286288288288287289289289288289287289289288288288288292291291290291292293292292292292292292292292290290290291291291291291291292290291290290290291291291290291292292292292291292292292291291290291289289288289290289290290290290289289289290289289289291290289291290291291290290291290291290290290291291290291290290290290290289290291291290290290290290290290290291290291290290291291291292292293293293293292292292292292291291290292293293293292293292291292291291291290291291292292291291290291291291291291292293292293292292292292292292292293291292292293293294293294295296295295295294293293294293293290291291290290291292292292292291291291291291291291291291291291292291292292292292291291292292292292292292292292293293293293294295295295295295295296296295296296296297297297296298297298297298298298298299298298298299299300300300300301302302301302302302302302302302302302302302303303303303304304304304304304305305304304304304303303303303303302302303303303303302303302302301301301301301299300301300300300299299299299299299300299299300299300300299298299299299299299300299299299299299300301301301301301302302302302302302301301302302301302301302300300300300300301300300300300301302302301302301301301301301300300300300300300301300300301300299300300300300299299300301301300300300300300300300300301301300301301304302303303301301304302301301302302303302303303303302302302302300301302301300300301302301301301302302302302303302302302304303303302303301302301302302302302301301302302301301301301301301301300300300300300300299299299299299299299300299299298 999999999300300300300299298298298298298299299300300297300999999999999999999999999999999999999999999999999999999999288289287286285285287287289289288289291291291291291291291291292291292292291292292292292292292291292292291291292292293293293292292292293294295294293291294293294294295293293294295295295295295295295295295296297297298297297298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286285283285285286287287287288288289290291291292292292293293293293293293294294294294295295296296296295295295294295294293293293292292292292292293293294294295296295295295295295294294294294294292292291291291292292293292292291290290289289289288287287286285285284284283283283283283284284283284284285286287287286287999999999999287285286286285287288288289287286290287289288287289288288289290290291290291291291291294293292291291292292291292290291291290291291291291291290291291289290289291291290290291291292292290290292291291292291289289288289287288289288290291289288289290289290290290290290291290291292291291290290290290290290291291291291291290291290290290289290291291291290291291290291291291291291291291291291292292292292292292293292293293292293292292292292291292293292291291292292292291292290293291292291293294291292291291290291291291292292293294293292291293292292291293294294292294294294293293294295295295294294294293294294292293292292292292292291292292292292292292293292292292292291291292292292292292292293291292292292293292293292293294294294294294295296295296295295296296296296297297297297297297297297297298298298298299298298298299299299300301301301301302302301302302303303302302302302302302302303303304303303304304304304303304304304304305304304303303303302303303302303303302302301302302301301301301301301301300300300300300300300298299299300300299300300299300300300299299300299299299300300299299300299299302302301302302302302302301302301301303303303302303301302303301301300300300300300301301301303302303303302302301301300300301301300300300301301300300300300300300300299299299300300300301300300301300300301300300300300301300303300300303302301302302302302302302301302302301301302301300301301301302301301301301301300300301302302301302302302302302302303303303302302302302302301302301301302302301301301301300300300299299299300300300299299299299299299299300300299299299 999999999999299301301299297296297297297298298300300297297297999999999999999999999999999999999999999999999999999999999288288284284285286288289290292289287291290291291291291291292292292293293293293293292292292292294293292292292293293293292292292292292292291293292291292295296296294294294295296296296296296295295295295296296297297298298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288283284285285286287287288288288289289291292292292293293293293293294294294294295294295296296295295294294294294293293293293292292292293293294294295295296297297297296296296295295295294293292292292292292293293293292292291288289289289289288287286287284284284283283282283283283283283284284284285286288289288287999999999287287287288286288288288288289288287289287287288288288287288290289289289291290291291292292292291292292292291292293291292292291291291291291290290290290290289290290290291290290291291291292290291291290290289291289289289289290289289290290290289290290289290290290291291291290291291291291290289290290290290291291290291291291291291290290290290290291291291290289291290291291291291291291291291292291292292292293293292292291291293292293293293293293292292292292294293292292293291291294294293292292292291290291290291292292292292293293292293292292293291291292292293295294293293295295295294297296294294293292293293294293292293292292292291292292292292293292292292292292292291292292292292293292293292292292293293293294294293293294295295295295296296296296296296296296296296297297298297297297297298298298299299299299299299299299300300300300301301301301301302302302302302302302303302303303302302303304303305305304304304304304304304304304303304303303303302302302302303302302302303302302302301302301301301301300300300300300300300299299296300300300300300300299300300299299299299299299299299300301300300300302302302302302303302301302302302302303303301302301301301301301300301301300301301301302301302302303303303302302302301301301301300300300300301301301300300300299300300299299299300301301301301301300301301300300301300300300302302300300300301300300302302302301300301302300300300301300302300300300300301300300301300301301301302301301303302302302302303302302302302302302302302301302303303302302302302301301301299300299299300300300299299299299299299299299299299299299 999999999999999298298308299999294295295297297297299298298298298999999999999999999999999999999999999999999999999999999999288286283284283287288289290289290290292292291292292291292292292292292292292292291291291292291292292291291293292291292291291290290289294291292293292292295294295295294296297297297297297295295295295296296296296297298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289285283284285286286287287288288288289290291291291293293294293294294294295296297296296296296295295294293293293293294293293293292293293293294295295296296296297297296295295295295295293292292293292291292292293293292292290290290288288288287286285286284284283283283283282282282283283283283282282284286287289999999999999286286287286288288285286287287287287287286287287287287289289288289289289289289289289290290290289291291291292292291291290292290290290290289288290290289290289289289289291290290290291291291291291292291291290289288289289289289289289288290290290291290290290291291290291291291291292291291290289289290290290290290290290290290290290290290289291291291291291292291291290290292291291290291291292290291291291292291292291291291292291291292292292293294293292292292293292293292293293291292292293294290290290291290291290291291292291293292294292292293293293293292292293293294295295294295296295297296296296294294294293294294293294293292292291292292292292292292292292292292291292292292292293293292292292292292294294294294294294294295295295296296296295296296295296296296297296296296296297297297298299299298299299298298298299299299299300300300300301301301301301301302302302302303302302303303302303303304304304304304304303304303302304304303304303302302302302302302302302302302302302302302302302302302301301300301299299300300300300300299300301300301301301300300300300300299300300299300301299298301299300301301301302302303301302302301300302302301301302300300301302301301301301301301301301301302302302303303303303302301300301301301301300301300301301300300301301301299300299299299300300301300301301301300300300300300300300299299298300299301299300300301303302301301301302302301300300300300300299300300300301301301302301302302302302302302302302303303303302302302303302302302302302302301301302301302301301301300300300300299300300300300299299299299299299299299299299299299 999999999999999999296304999999999295294297296295298299301301300301302300999999999999999999999999999999999999999999999999287287285286284286287289289289290291291292292292292290290291291291291292291291291291292292292292291291292292292292291289288291292291291293294294294294294294296297296297298298299299299298296295295295295295296296298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299295290287283283283287286286286287288288289289290290291293293293293293294295295296296296295296295295294294293293293294294294293293293293293294295295295296297297298297296295295295294294293292292292292292292291293293292292291288287287288287286284285284284284283282282283283283282282283283283283282282999291292295999999999285286286285286287287288286287287287287288287287287287289290288288290289289287289289289289289290290290291291290291291291289290290290290289289288289289290288288290288290291291291291292291290290290291290290289289289289288287287289289289290289290290292291290290291291291291291291290291290289290290290290290290290290290290290290290288289290290291290290290292291291289290290290290291290290290291291291291291290291290291292290291290291291292292292292292291290291292293293291292291291291291291289289290289290290290290290290291291291291292291291292290291293293293294293293295295295296296295296295294294293292292292291291292291291291292292292292292292292293293292292291291292292292293293292292294293293294294294294294295295295296296296295295295296295295296296296296296296296297297298298299298298298298298299299299300299299300300300300300300300300301301301302302302302302302303302303302303303303302304303304304303304303303303303304303303302302302302302302301302302302302302302302302302301300301300300300300300300300300300299300301301301301301301301300300300301301300300300300300300301300301301302302302303303302303302301302302302302301302301301301302302301301301301302302302301302301301303303303302302301302302302301302302302302302302301301301300300301300299299299299300300300300301300301300300299300299299298298298299298299300300300301302302302301302301302301301300300299299301301300301301301301302302302302302302301302302303302302302302302302302302302302303302302302301301301301301301301301300300300300300300300299300299299299299299298299299299299299 999999999999999999999999999999999999999296297292999298301304302301300300298999999999999999999999999999999999999999999999288286285286286287288289290290291291290290291293293291291292290292292292290291291293292291291292291292294292293291291292292292292291292294293292295296295298298298299297300301302302303299298296294295296296296296298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293295289287284283283284285286286287287288288289289291292292292293293294294294296296297296295295293294293293293294294294295294294294293294294295296296296296296297297297296295295294295293293292293292292292292291293292292292290288287286288286284283284283283283282282282282283283282282283283283283282999999292292292999285285286286286287287287286287286286285286286287288287287288289289289290290289288289288290290290290290291290290290290290290291291290289290289288290288289289287287288288289290291292292291290291291290291290289290288289288289289288288288289290290289290290292290291291291292291291291291292291291290290291291291290290291290289290290290291289289290289291292291290290291291290290291291289290290290290290290291291291290291291291292291290290290291291292291292291291292293293292292290291290290290290289289290290290290290291291292291290291292291289291291292292292294293295293294293295295296295295294294296293294294292293292293292292292292291292292293292293292292294293292293292290291292293293292293294293294294295294295295295295296296296296297296296296296296296296296296296296296297297297298298298298298298298299298299299299300299299300300300300300300301301301302302302302302302302303303302303303303303303304304304304302303303303303304303303303303302302303303302302302302302302301302302301301301301301300300301301300300300301301301301302302302302302301301301300299301301300301301301300302302301301301303303302303302302302302302302300302303302302301302301302301302301301302302302302302302303303303303303303303303302303303302302302302302302302302301301301300300300300300300300300301301301301300301300300300300299298297298298298299300301300300301301301301302301300300300301300300299300300300301301300301301302302301301301301302302302302302302302302301302301301301301302302301301301301301301301300301301300300300300300300300299299299299299298298298298298298299299 999999999999999999999999999999999999999295999999999999302304302301299299301299999999999999999999999999999999999999999999999287286289287286288288289290289289290293294294293290292291293292292292291292292292291291291292292293293292291292292291290292291292293296293295297299296298299299999999300302304304302303301298296296296296296296296298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292293288286284284283283285289286287287288288289289290291292293294293294294295296296296296295294293293293293293294295295295295294294294295295295296296296296297297297297296295294294294293293293293292292292292292293292292291290290287285286285284282282283283283282282282281283282282282282284283283999999291291291286286286285286285287287286287287286287286287286286288288288289289289289290290291290289290289290290290290290290290291290290290289290289289290289289289289288289288287288288288288290292291292291290290291291290290290288288289288288288288289289288289290289291290291291291291291291292291291291292291291290291291290291290290289290291290289290291290290291289292289290290291290291291291290291290290290291291291291291292291291291291293291291292291290291290291292291292292292293291291292290291291291291290291289289289290289290290290290290289291291291290291292291295292292294293294295292295295296295295295295295294294294294294294293293292293292291292293293294292293293293293292293293292292291294293293292295294295294295295296295295296297296297296296297296296296296296296296296296297297297297298298298298298298298298298299299300299300300300300300300301301301301301301302302302303302302303303303303303304303303304304304304304304303303303303303303304304303303302301303302301301301302301301301300301300300300300299300301300300300300300302301302302301302302301301301301301301299301301301301301302302302302302302303303302302303302302302302302302302303302302301302302302302302301302303303303303302303303303303303303303303304303303303302302302302302302302301300301301301301300301301301300300301301301301300300300300299299298297298299297298299299300300300300302301301301301300300300300300300300300300301301302301301302302301302302303302302302302302302302302302301302301301301301301301301300301300300301300300301301300300300301300300299299299299299299298298298298298298298298 999999999999999999999999999999999999999297999999999300301302301299299298300300298298999999999999999999999999999999999999999287286286286288288288288289288288288290291291291291291290292291291291291291292291292291291292292293292292292291290291290292292292293295298298298297298299299999999999999300303304305306302299299297297295296296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298290286285285284283283284287286286287287288288289290291292293294294295295296296296295294294294293293293292293294295295295295295295296296296296296296296297297297297297296295294293294293293293293293292293292292293293288289289287286286286285284283283281282282283282281282282283282283283283283283999291291289289286286286287288288288286288287287287285286287287287288289289290290290290291291291290290291290290290290290289289290290289289289289289289289290290289288290290288288287288289289290289290291291291290290289290289290290289289288288288287289289290289290290289289290291291291292291292292291291292292291291291291292291290291291290291290291290289290291289292291290290291290291291291292291291292291291292292292292292292292292292291291291292292292291292291290291292293292292291293292292293292291292292290290290288289291290290290289290290290290289291292291291291294293293293293294295295294294295295296296296297295294295294294295294293293293292293292292293294294294294294293293293294293292292293294293294294295295295295295296296295296297297297297297297296297297296296296297296296296297298297297297297298298298298299298299300300300299300299300300301301301302301301301301302302302302302302303303303303304304304304304303304303303303304303303304303303304303303303303303303302302302301302302302301301301301300300300300300301300300300301301301301302302302303301302302301302302301301302302303302302302303303302302303303302303303303303302302302302303303302303302302302303303302302302303304303303303303303303303304302303302303304304304304302303303302303302302301301302302302302302302302302301301301301301301301300299300299300299298298298298298299299300299300300301303300301302300300300301300300300300301301301301301302302302302302303302303302302302302302302302302302302302301301300301301301301300300300300300300301300301301301300300300300299299299299299298298298298298298298298 999999999999999999999999999999999999999999999999999297303300299298297297296298299298296999999999999999999999999999999999999999285285289286288288288288289288289289289292289291292291292291289291291292292292291291291291292291293292291289290290291292291293293296296295295297298297294999999999999999303303301304303300298296298295298297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289285283284284283283284284284285286287288288289289290291293293294295295295295294295293293293293292292293293294293294295295296296296296296296296296296296296297297296296295294295295293293293293293293292292291292285282286285285283283284284283281281282282282282282281281282282281282283283283999999999999286286285286286286290286287287288287286286286288288287287288289290290290291291291291291290291290290291291290289289288289290288288289289290289290288290289289289290291289287289290290289289289290290290289289290290290289289289288288288289289290289289289289289290290291291291291291292292292292292292292291291291291291291291291292291291290291290293291291291290290291291291291292291292293292292292292292292292292292291292293292292291291291290290291290291291290291292291291293292291292293292292292291292291289291290290290290290289289290290292292293291293291291293292293294292294295294294295294295295296296296297294295295295294293293293293294292293292293293293293293294293293294292294294293293294294294295296295295295295295296296296297297297297297297297298298297297296297297296296296297297296296296297298298298299299298299299300300300300299300300300301301302302302302301303303302301302302302302303302303304304303304304303303302303304303303303303303304305303303303302303302302302302302302302301301301300300300300300300300300300300300301301301302302302302301302301301301301301301301302303302301301302303303304304302302303304304304302302303301302303303302302302302302303302302303303303303301302303303303302304302303305303304304304303303303302302302302301301301302301303302303302302302302301302302301300300300299298298300299297297298298298297298299299299299299300301301301300299300300300300300301301300303302301303303302302302302302302301302302301302302302301300301301301301301301300300300300300300300300300300300300300300300299299299299299299298298298298298298297297297297 999999999999999999999999999999999999999999999999999299297296298296295298297298298298300296296296999999999999999999999999999999284285287288288289288288288289290290290290290292293292291290290292291291291292292293291292291291290292289291291291291291291292293293295296297296297295293999999999999999999999999999999999999297298298297295296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281283284284283284284285285286287287288288289290291292293294294294294294294293294293294294293293294293293294295296297297298297296296296296296296296297297296295295295294294295295293293293293293292289288999999286282283282281281280281281280281281281282281281280281282282281282281281284999999999999286286286287287289289288288287287287286287286287288288288288289289289288290289291290290290290291290291291290290289288289289287288288288289288288287289289289288287289287288288288289289287288288290288288289289289288287287287288288288289288289289288289289289289290290291291291292291292292292291292292291291291291291290291291291291290290289291292290291289290290289290291292292291291292292291291292292292292291292292292292292292291290290290290290291290292291290290292291292291291292292292291292291290290289290290290290290289289289290290291289292292293292290291292292294294294293294293294294294295296295296295296295295294294294293293293292293292293293293293294294294294294295294294294293294295294295295294294295295296295295297297297297298298298298298298296298298296296296297297296298298296296296297298299298298299299298298300299299300300300299300301302302301301301301301302301302302302302303303303303304304304304303303303304304304303303303303303304304304303303303303302303302302301302301301301301300300300300299300300300300300299301301301301300301301301302301301301301301302302301303302302302303304304303303302302304303303303303303302302302303302303302302303303302303302302302302302302303302303303303303303303303304304304304304302302302302302302302302302301302302303303302301302301301300301300299299300300300300299298298297298297297297297298299299298300300300300300301300299299299300301301301300302301301302302303303302302301301301301301301301301301301301301300301301301300300300300300299300300300300300300300300299299299299298298298298298297297297297297297297297297 999999999999999999999999999999999999999999999999999999999297999999295297297300299300299298297297296999999999999999999999999999287287288289290289288288288289290289290290291291291293291291292291292292293293292292293291292291290291291293291291291292292293294297296295297297293999999999999999999999999999999999999999999999999298296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280282284288285285285284285286287287288289290291292293293293293293294293293293294294294295294294294294294295296297297298298297296296295296296296296296297296295295295294294295294293294293293292290288999999999999283280279279279280279280280281281281281281281281281281281282282282282999999999999999287286285286287291999286288287287287287287287288288287289289289289290290290291290291290290291292291291291290289289289289289288288288288288288289288288288288288288287286287288288288286287287288285288289289289288289288287288287288289290290290290290290289289290290291291291292291292292291292291292292292291291291291290291291291291290291291291291290290291291291290291290292292293292293292292292293293292292292292292292292292291291291289289290290290289291292290292292291292291292292290291291292290290291289289289290289289288289289289289292289291291292293292292291292293295294294295295293294293295295295296295295294294295293294293293292293293293293293293293294294295295294295294294294295295295295295295296295296296296296296296297297298298297298298298297297298298298297297297297297297298296298296296297298298297298298299298298299299298300300300301301302302302302302302302302302303302303303303303303303304304304304304303303304304304303303303303302304304303303303303303303302302302301302302301301301301301300300300300300300300300301301301301301301302301301302302302301301302302302302302303303303303304304303303303303304304303304304304303304304304304304303303303303302302302302302302302302303303303303305303303304303304304303304304303302302302303303302302301302302303303302302301302301301300300299299299300300299299299299298298298297297297297297298299298299303298300299300300300300301300300300300303301301301302303303303302302301301301300301302301301301301301300301301301301301300300300300300300300300300300300300300299299299299298298299298297297297297297297297297297297 999999999999999999999999999999999999999999999999999999999999297298999999999297297298300298297299297295999999999999999999291999999288289290290289288289289290290290288288290290291292292292291291292291292292292293293291293292292289291292291292291291292293294294296296299298294999999999999999999999999999999999999999999999999999999999295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287285283283285286286287288288289289290292292293293293292293294294294294294294295293294295294293293295296298298298297297296295295296296297296298297295295296296296295295294293293293291289287999999999999277278279279279279280281281281281281281281281281282283281282283283282999999999999999288289287999999999999287288287287287287287287288289288289289290289289291290290290290290290290290291291291290290289289289289288287288288289289290290290288288288288287287287287288287288287288289289290289289289288288288288288289288289290291290290290290290290290291291292291292292292292292292293293292292291292291291291291291291291290293292292292291291292292291291291292292292294294293292292293292292292293293293292292291292291291291291292291292291291291292291292292291293291290291291291292291290291290291290290289289291288289289291291293292292292292294292294294295295294296295295295293294295294296295296295295295294295294294294294294294294294294294295294294294295295296296295295295295296296295297296297296296296296296296297297298298299298299299298299298299298299299299299298299298299298297297297297299298296299299299299298298300299300300301301301302302303302303302302302303303302303303303304304304303304304304304303303303304303303304303303302304303303303303303303303302302302302302302301301301301301301301301300301300301301301301301301301301302301301302302302302302303303304303303303303304303304303304304304305304305304304303303304305304305303304304303304303302303303302302303303303303304303303302303303303304304304305304305303303302303303303302303303303303303303303303302301301300300300300301300301300299299300299298298298299298298297298298298299300301302299299298300300300301301301301301302302302302302302302302303302302301301301302301301300301301301301301301301301301301301301301300300300300300300300300299299299298298298299298298297297297297297297297297297296 999999999999999999999999999999999999999999999999999999999999999297999999999298297298298299298299298297999999999999999999290999290290290289289288287288289289290289289289289289290291291291291291292292292292292291291292291291292291290290290292291292290292293295296296296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289286286285286287287287287288288289290291292293293293293293294294294293294293292293292292293293294295295295295297296296295295294294295296295298297296296296296295293295294293293291290999999999999999276275276278278279279280281281281281280279280280280282282282281282282282999999999999999288287999999999999999287287287286288287286288289289288289290290289290291290290289290289289290291290290290290290290289289289289289289289290290289290289289289288289287287286287287287288288288290290290289289288289289290289290290290291290291290289291290289290290291291291292292293293292292292292291293292291292293291291291292292291291292292291292294293292291291291292292292292293293293293292292291293292292292293292292292291291291292291292291292291292292292291291290290291290290291292291290292291290290290290289288288287290290291291293292290290292290293294294295296296295294295294294293293295293293296295295294296295295294294294294295295294295295295295295295295296296296296296296296297296296297298297296296296297297297296297298298299299299298299299299298299298300300299299298298299299298297298298297297298298299299299299298298300300300301301301302302303303303304302304303303303302302303303303303303303304303304304303303303303303303303303303302303303303303303303302302302302302302302302301301301301301301301301301301301301301301301301301301300301301301302302303302302303302303302302303303304304303304303304304304303305305305303302304304304304305305304303303304303303302302302302302303304303303303302303303303303304304304303304303303302303304303304304303303302303303302301302302301300301300301301302301299300300300301299299299299298299298298298299298298300301298299299299300299300301301300301302301301302302302302302302302301301300301301300300300300300300301301300300300300300301300300299300300300300300299299299298298298298298298298298298298297297297297297297296296 999999999999999999999999999999999999999999999999999999999999999297999999999299299297296298298299298298296297292293293293293292291291291288289287287288289289290289289289290290290289290291291289289291292292290292291290289292291291290289291292291291292294293295296298297295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286287287288288288288289290290291292292292292293293294294295999999999999294291291292293294295294295295296295296294294293293294294295295297296296295293293292294293292292290286999999999999274275275276279279280280281281281281281281280281281281282283281281283283999999999999999294294999999999999999999287288288287287286288289290290290291291290290290289289291291290290290290290290290289289290290289288288289289289290289291290290290290289289289288288286288286285288288289288290289288290289289291290291291290291291290291290290289290289290290290291291292293293293293293292292292292291291292293292292292291293292292292292291292293294294292292293294294292293293294293294294293293293292293294293292292292291291290291292291291291290292292290291290288290290291290291290291291291291291291289290288289287289291292290288289288291292292293293291294295295295295296295294295294294294295294294296295294296296294294294295295295295295295295296296296297296296296296296297295295296296297297297297296296296297297296298298298298299299299300300299299299300300300299301300299299299298299299297298298298299299299299298299298300300300301302302299301302303302303303302303303303303303303303303303303304304304304304304304304303303303303302303303303303303303303303303302302302302302302302302302302301301302301301301301301301301301301301301301301300301301301302301302302303303302303302302303304305304303305304304304304304305304305303303303303304305304304305303303304303303303303303302302302303303303304304303304303302305304304304303303304303303304304304303304304303304304303302301302301301301302302301301301301301301300299299301300300299299299298299298298298298298299299298299299299301300301301301302301301301302301302301302302301300301301301300300300300300300301300300300299300301300300300299300300300300299299299298298298299299298299298298298298298297297297297297296296 999999999999999999999999999999999999999999999999999999999999999999999999999297297294294295297298298297297297297295294293293292291999999999289289288289289288289289289288288290290290290289289288290292293292290292291290290291291291290290290292289289291293294294296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286287288288288288289289290291291292292292292293293293293999999999999999999292291292293293294294293294295294295294292292292293295294294293294294293292291292292291290999999999999999999274275276277279280281281281281281281282281281281281281283283283283283284999999999999294294295292999999999999999287287287287289289289289290290290290289290289289289291291290291290290290290289290290289289289289289288289289290289289290291290289290290290289289289288288286287288289289289289290289288289289291293291293292292292291290289289290291290291291291292292292293293293293293292292292292291291292294293292291293292292293292293293293294294293294294294295293292293294294293294293293294293294293293292292292291291291291292290290290290290291291290290291290291293292289293292293294293291290289289288291291290289290290291291290292290291293294294295296295295294294295296295295293293294294293292294294294295293294294295295294295295295296296296297298297297297296296296297295296295296297297296297296297297297297296298298298299299299300299300299299299301301301300299300299299300299299299298298298297298298298299299299300300301300301302302302302302302303303303303302303303303303303303303303304304304304304303303304304303304303303303303303303303303303303302302302302302302302302302302302302301301301302301301301301301301301301301301301301301302302301301302302302302303304303303303304304305304303304303303304303304305305305303302303304304305304305303303303303303303303303303303303304304302302304302303303304304304305304304304304304304304304305304305305304304304303303303302301301302303303302301301301300300300300300300299299300300299300299298298298299299299299299299299299300301301301302301301301301300301302301302302302301301301301301300300300300301300300301301300301300301301301300299300300300299299299298298298299298299298298298298298298297297297296297296296295 999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999294295296999297297297296295999999293999999999999292291289289289290289289289289289289290290291289289289290291292291291292290289289289288290291290290290289291291294294294294296295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286287288288289290289290291291291291291291293292292292999999999999999999999293293293999294294293292293293293293292291291291292292292292293292292291291290290289999999999999999999274276276277278279280281281281282281281281281281281282283283282283283283283999999999295294294999999999999999999286288287288288287288289289290290290290289289290290291289290290290290290290289289290290289289290289289290289289289290289290291290290290290289289289288288287287289289289289288289288290289289289291292291292291292291290290290289291290291291291292292293292294294294293294293292292292291293293293292292292292292293293292293293293295293293295295295294293292293294293293294294294293294294295294294293293292292291291291290290290290290290290289290290291292292291291293293291291292291292290290289290289288290288290291290290292292293291292294295293295293294295294295294294293294294293293294293294295295293294294295295294295295295295295297297297297297297296296297296297296297297297298297296297297298298298297298298298299299299299300300299300300299300300300298301299298299299299298298298298297298298297298299299299300300300300301302302302302302302302302302303302302302303303303304303304304304304304303303303304303303304304303303303303303304304302303303302302302302302302302301302302301301302301301301301300300300301300300300299300301301302302301302301302302303304304304303304304304304303303303303303303304305304304303302303303303303303305302303303304303302302303304303304304303303303303303304305303303305304305304304303304304305304305304305304305304304303302302302301301303303304302300300301300300300299298298299300299301300300299298298298298299299299299298299299301301300301301301300301300300301301301301301301301301301300300300300300301301301301301300300300301301300300300300299300299299299299299298299299298299298298298298298298297297297297296296295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297297296297298296297999294294295293999999294292291289290290289289288289289290289289290290289289290289290290292291290290290289290287288290290289291289292292295295293295295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287288289289290289289290291291291292293292291291999999999999999999999999999999999999999999999999999999999292290289289291291289291290290290290290289289289999999999999999999274274276277278279280280281281281281281281282281282282282283283283283283284286287999286294294999999999999999999288287287288289287288289289290290290290289289288289291290290290290290291291291290290290290289289289289290290291289290290289290289290289290289290290290289287286288288289289290289291291292289290292292292293292293292291291291291291291291292291292292293293293294294293293293293293291292292292292293292292292291292293294293294293293294293294295294294294294294293294293293294294294294294294294293293293293292293292292291291291290291290291290290290291290292292292293290292293292291290291290290290290290288290288291291288292293294294294292294295294293293294293294294294294292292293293292293292293294293294295295295295295295295296296296296297297298297297297297296296296297296297297298297297297297299298298298298299299299300299300300300300300298300299300300300300299299299299298299298298298297298298298298299300301300300301300301301303302302302303302302302302302302302303303302302304303303303304304304303303303303303303304304304303303304303303302302303303303302303302302302302302302301302302301301301301301300300301300301301301302301302302301300302302302303304305303304303304304304303302304303302302303303304303302303304303303303303303304303303302302303302302303303303303304304305303304304305304303303304304305303305305304304305305305305305305305304303303303302302301302301303302302300300300301300300299298298299299299299299299299298299298298302301299299300300299300300300300300300300300300300301301302301301301301301301300299300300301301301302302301301301301301301301301300300300301300299299299299298299299299298298298298297298297297297296297296296295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295999296297295298297295999295295294999294294293290290290290289289289288290289289289290288290289290290292291292290290290287289290288291291290292291292294294295295292292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284289290999999999999999288288288288288289290290289289289290290290999292293293999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999999292292292999999999999999999999274275276278278279280281281281282282281282282282281282282283283283283284284283285285286999291291999999999999292291290289288289289289289290289290293291291288289289290290290290290290290290290290290290290290290290290289290290291291290290290291290290290290289292291291288289289289289289290290291291292292289290293292292293293291292292292291291292292292292292292293293292294293294294294294294294294292293293293293293293293293293295293293294296296296295295295294295293294294294294294294294294294294294294295294293294293293293292292291291291291291292290291292292291291293292293293293293293292293293290290289291290291293291290290295290294293293294295294291292293293294294294295294294293292294293293294293294292294294294295295294295296296296296296297297298298298297297297297297296296297296296298298297298298299298298298299299299300300300301301300301301301300299299300299300300299300301300299300299300298299299299298299299299300300301301300301301302303302302303302302302302302303302303303303304303304304304304303304303303303303303304303304304304303304303303302303303303303303303302302303302302302302303302302301301301301301301300301301301302302302302302301301302302302303304304304303303304303303303303303303302302302303304304303302304304304303303303302303304303303302303303304303304304304304305306305304305304304304306305305304304304304304304305305305305305305304304304303302302302301302301302300301300300300300300300299299300299301300300299299298298298297300298298299300300299299300300301300300300300300301301302302301300300300301300300299300301301301301301301300301301301300301302301301301300300299299299299299298299299298298298297298298297297297297297296296296296295 999999999999999999999999999999999999999999999999999999999999999999999999999999295295295999999295295294999295296296296297297295295295296294294294292291290290289289288288287286287288289289289289290290291291290289290289289290291290290290290289291291293294293295294295293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287284285285286287288288290290289288289289289289289289290290290288289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276278278279279280281281281281282282282282283282282283283283283283284284284284286285286999999999999999999292291292290289289289289288289289290290291290289289289289289289289290290289290290290290290290290290290290291291291290290292291291291291291291291289289290288291289290289290291290289290292291291289290291292293292294293291291291292292292291291291292291292293293293293294294294294294295295294294294293293292292292294293294293296295294295296294295295294294294293293293294294294293294294294294295294294294293293293293292292291290289292292291292291292293291293293292293294294295292292290294294292292291291294291294293293293293292294294294292293294293292292293294294294294294296294296293294293293293293293294295295295294295295295295296296296297298298298298298297297297297298298298297297298298299299299299298298299300299299300300300301300301301300299300300299299300298300301300301300299299299300300300299299299298299298300300300300301301302302302302302303303303303303303303303303303304304304304304304303303303303304303303303304304304303303303303303303303303303303303303303302302302302302302302302301301301301301301301300300301301301301301301301301302302302302302303304304303304304304303303303303302302302302302303304303303302304303303303302302302302303303304303302302304305304304305305304305304304305305304303304305304304304304304303304304305305305305305305304304302301302301302301301302301300300300300300300300301301300300300300299299299298297297298298298299299299299300299300300299300300300300300300301301302301301301300300300300300301301301301301301301301301301301301301301300301300300299300299299299299298298298298298298297297298297297297297296297296295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293294294294295296296297297297296297296296294295294292292291290289288287286287285287286287288289289289289291291290288286289290289289290291290289291291292292292293294295295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286286285286285286286288289290289289289288289288288290290289289288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276278279279279281280281282282282282282282282282282282283284283283282284283284285285284999999999999999999999999290290289289289289287287288288288289290289288289288289289289288288289289289289289289290289290290290290290290290290290291291291291291291292291290291291289289290289288290289290291290291290288288290290291292292292292291292292292291291291290290291292292292292293292293294295296296295294294293294293293293292292292292293293293294294294295294295294295293293292294293294293293294294294293294293294294294294294294293292292292292292291292292292293294294292294294293293292292292290290289289289293289290291291291294293291293293294295294293292293293293293293293293293293293294293293293293292292293293293294294295295294294295294295295295296296297297297297297297296297298297298298298299298299300299300299299299298299300300300301301300301301302301300299301302302301300300299299299300300301300300300300300299298299299299300300300301301301302302301302303302303303303303303304304303303303303304304304304304303303303303303303303303303303303303303302303303303303303303303303303303302302302302302301302301301301302301301301300300301301301301301301301301301301301301302302302303302302303303303302302302302302301302302302302302302303303303302303302302302302301302301302303302302303304303303305304304304304305305305304304303304303304303304303303305304305305305305305303304303302302302302302301302302301299300299300300300301301301300301300300299298298298297298298299298298299299299300299299299299299300299300300300301301301301301300300301300301301300300301301302302302302302302302301301301300301300300299299299299299299298298298298298298297297297297297296296296296296295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999291293294293295295296296295295295295294293294292291290290289289287288287286286286288285287288289288289289289288287289289289289291289289291290291290291291292292293294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286285284285285286287287288289289288288288289288288289289289288287286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276279280280280280280281281281281282282282282282282282282283283282282282283283284285285284999999999999999999999999999999999289287288288287288289289289289289288289289288288289288288289288288289289289289289288290289290289288290290289290290291291290290290292292291293291289290288289289289290290289291291289289291290291291292292291291292292291291291291290290290291292291291292293293294294294295294294294294293292292292292292292293293292294295295295294294294293292292293293293294293293293293294294293293293293294294294295294293293293292292292291292291294293293292292293291290292291291291289290288291288288291289290291292295293291291292292293294293291290290292291292291293294293293293292291292293292293293293293294294295295294294294294295296295296296296296296296296296296296296297297297297297298299300299299298299299299300300300300300301301301300300302301301301301302301299299299299300301301302302301299299299298299299299299300300301301301302301301302302302303303304304304303304304304303303303303304303303303303303303303303303303303303304303302302302304304303303303303303303303302302302302302301301301301301301301301301301300301301300300300300300300300300301301301301302301302302302303302303302302302302301301301301300301302302302302303302302301302302302302302302302302303302303303304303304304304304304305304304305304303303304304303305304306305305305305304304304304304303302302302302302303301301300299299299300299300301301300300299300300299299298297298297298298298298299299299299299299299299299300300300300300300301301301301300300300299300300300301301301302302302302302302302301301300300300299299299299299298298298298298298298297297297297297296296296296296295295295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999999294294295296296296295295295294295295293292292291290290288287288288287287287287286288288289288288289289289288288289290289291289288291291291290290291291293293293289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285285285284285286286287287288288288288288289288289289289288289286999999999999296297296296295999999999999292293292293292291999290288288288289289289289289289289288999999999999999999999999999999999999999280280281281281281280281282281282281283283282283282282281282283282282282282282283283285284285286999999999287287999999999999999999287288288287288288288287289287288288289289289289289289289289288289289289290289289289289289288289291290289291291291291290290291292292292293292291291289291290292291291292290289290291290291291291292293292291291291292290290291291291291292292292292292294293294294293294295294294294293293292292292293293293293293293295295293295295294293293293293292292292293293294294294293294294294294294294294294294294293294293293293295294293294294293292292293293291292292293291290291292289291292292291289291293293292290290292292291293292293293292293292291293293293294293292293291292292292292292292293293294294295294295294295295295295295296296296296297296296297297298297298298297297296298299299299299299299300299300301301301302302301302302301300299302301301300299299299300301300301301302301299299299298299299300300300300301301301301302302302302302303303304304304304304304304304304304303303303303303303304303303304303303304303303303303303303303304304303303303303303302302302302302302301301301300300301300301301300300301301301300299300300300300300300301301301301302302301302302302302302302301302302301301301301301302302302301302302301301301302302303302303303303303302302304305304306305304304304304305305305305304304304303305306305305306304304305305305304304304303303302302301302303301301301299299300301300301301301301300299299299299298298298299298297298298298298298299299298298301298298299299299299300300300300300300300300299300300300300300301301302301301301301301301301300300300299299299298298298298298298298298298298298297297297297296296296296296295296295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294999999999999999294295296296296295295295296295295294292293292291289289288288288287288287286285287287288288287289289288288288288289290291289290292291291290291292293293294295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284284284284285284285286286287287288288288289288288289289289288289287999999999999296297295295295295293292292293294292293293292290289291291291290290291291292291291289289999999999999999999999999283282280281281281281282282281281282282282282282282283283282283282283282283282282282283283283284284284284285285999999287288286286287286999999287287288288288288288287288286287288288289288289290290290290290289290289288289288289289289289290290291290291291291290291291291291292290291292291293292292292291291290290290292291291291291293293293293292293291291292291291292292292292292293293293294293293294294294295295295294294293294293293293293293294294294293295294294294296294294294293293293292292293293294294294295294294294294294294294294295295294295295295295296295294294294293294292290292292292292293294292295291291289291292293292295294291292293293291293292295293293293291292292292294293294292292292293292292292292292292293293293294294295295295295296295294294296295296296296296297298298298298297298297296297298298300300301300300300301300302302302302302302301302302301301302302300301300301301300300301301301301302301299300300299299300300300301301301301301302302302302302303303303304304303305305305304305305304304304304304304305304304304305304304305304304303303303303303304304304303303304303303303302302302302301301301301301301301301301301301301301301300299300300301301301301301300302302302302302302302302302302302303303303303303302302302302302302301302301301302301302303302304303303303303302303305305305306306305306305305306305306305305305304304305305306306307305304306304306305304305304303302302302303302302302301300300300302301300300301300300299299299298298299299299299297297298298298298299299299297298299298299300300300300300300300300300299300300301301300301301301301301301301301301301301301301300300300299299299298298298299298298298298298298298298297297297296297296296296295295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296295295294294294295295293293293293291290289289290289287288287288286286285287287287288288289289287288289289290289290290292290291293292291292292293294297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283283284284284284284285286287288288289288289288288289288289289291288999999999296297297296295294294294294294293294293294293292292292292293293292293293292292292292291291290289289288287288285284283282281281281281281281281282282282283283283283283283283283282282283283283282282282282283283284285284284286286999999289288288288286287287285287287287288288289287287287287287286287287288289289290290290291290289289288288288288289289289289289290291291292291291292292291291292292293293293292293291292292291290290291291292292292293293294294292293294293292292291292292292292292292293294294294294294294295294295295295294294293295294294295295294294294295295295294295296294294294294293293294293293293294293294294294294294294294294295295295295295296296297297296296295294295293294292293291292293293294293293293294290290290289292293292292292293291291291292293293294293293292293292292292291293292292292292292292291292292292292293293293294294295294295295295295295295295295295296296296296297297298298298297298298299299300300301300300301302301301302302302302302302301301301301301301300300300301300301299298301301302301301300300301301300300301301301301301301302302302302303303303303303303304304304304304305305304305305304304304304305305305305305305305304304304304304304304304304304305304304304304303303303302302302301301302302301301301301301301301302301301301299299300300300301301301301300302302301302302302302302302302303303303303303304303302302303302302301302301301302302301302303303303303303302303303304305305306306306306306305306306306305304305305306305306307306307306306306307304303303305303304303302302303303302301301301300300301301301301301300300300300299298298298299299299298298299298298298298298298298298298298299300300300300300300300300300300300301301301301301301302302301301301301300300301301301300300300299299299299298299298298298298298298298298297297297297297297296296296296295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295294294295295294294294293292292291291291290290289289288287287286286286287287287287288288288287287288288289288290289291290291292292292290291293294296299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283284285285284284284286287288289290290289289288288289288288288291999999999298298298297296295294295296295293293293294295294294294294294296295294294294294293293293292292291291290289288287285284283282281281281281281281281282283283283283284284284283283283283283283284284283282282282283283282284285285286286999999287286287286286286287286287287287288289289288288287286286287286285287288288289289290291290289289289288288289288289289289290291292291290291292292291291291291293294294293293292291292292291290290290291292291292292293293294292294293293291293293293292293293292293294294294294294295294294295295294295294294294295294294294294295295295296297294296295296295295295294294294294294293293293294294294295294294295295295294295296295296295296296296296295294296294294293293292291292293293294294294293294293293294292292293293293292290292293292291292292293293294292293293293291293294292291290292292291292292292292292292293293294295295295294295295295295295295296296297297296297297297297299298298299299299299300300300301300301302301301302302303302303301300300300301301299301300300301301300301301301301301301301301301301300301300301301302302302302302302302302302302303303303303303303304304304304305304305305305305305305305305305305306306305305305305305305305304304304304305304304304304304304303303303303302302302302302302302301302302301302302301301300300300301300301301302302302301302302302302303303303302302303303303303304304303303303303302302303302302302302302301302303303304304304303304305307306307306306307308307307308307306304304305305305306307307308307306306305302305304304305305303303303302303302302300302301301301302302301301301300300300300299299299298299299298298298298298298298297298299299299298299299300300299299300300300301301300300300301301301301301301301301301301300300300300300300299299299299298298298298299299298298297298297297297297297297296296296296296295295295294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294293295295295293292293293292291291291291290290290290289288288287287287288287287288287288287287287287287287288289290290289290291292291292291292293297302292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283284285285285285285287287288289290290289289289289289289289287291287999999298298297297298298296296296296296294295295296295295296297297297297297296296295294294294293293293292291289288287285284283282281280280280281281281283283283284284284284284284284284284284284284283283283282282282283283284285286287286999999287287287286286286287287288289288288289288288288287286286286286285287287288288288289289289290290290291289289289289290289290291292291291291292293292292293292293294294294293293292291292292290291290291290292292293293294293293293292294293294294292293293293294294295295295295295295295295296294295295295296296295294294295296296295296296296296297297296296296296295294295294294294295294295294295295295295295295295295294294296295294294295295297296296295294294294295292294292294293295294294292294296294297294292293291294291292292293293292291293293293292293293293293292293293293292293291292292292292292293293293293293294295296294292294295294296296296296296297297298298298298297298299299299300300300301301301302301302302302301303302302301302301300299299300300299299300301300300300301301300301301301301301301301301301301302302302303302302302303302302303304304303304305305305307304304305305305306305306306305306306306306307307307307306306306305305305305305305305305305305305305304303303304303303303303303302302302302302302302302302302300301301301301301301302302302302302302302302302302303303303303303303303303304304304304303302303302303303302303302303303303304303304304305304304305305307306307307306308308307307308307304306306307306307307307308308306307305305305304306306304305304304303303302303301301301301302302302302301301300301300300300299299299298299299298298298299299299299298299300299299300300300300300300299299300301300300300300300300300301301301301301300300300299300299300299299299299299299298298298298298298298298297297297297297297296296296296296296296296295295294294