2019 9 17 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98 99 99 99 98 97 99101100 98 96 97 95 92 88 87 84 83 85 86 85 87 88 89 90 89 89 91 91 91 90 90 92 93 94 94 94 93 92 92 92 92 92 92 91 90 88 85 84 84 85 84 84 85 85 86 85 86 85 85 86 87 89 89 89 89 89 90999999999999999999999999999999999999999999999999999999999999999999999104104104104103103103104104104104999999999107108108108108107107107106106106999999999104103103102102101101100100100100100100 99 99 99 99 98 98 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 96 96999 95 95 95 94 94 94 94 94 95 95 95 95 95 95 95 95 96 96 96 96 97 97 98 98 98 99 99 99100100100100100100100100100 99 99 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 99 99 99 99100100101101102102102103103103104104104105105105105105105105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 86 86 94 96 96 97 98 98 98 98 99 99 98 96 95 94 93 91 87 84 84 81 81 83 84 85 86 87 89 89 89 90 91 92 93 95 96 97 98 94 95 95 95 94 94 94 93 94 92 92 89 86 86 85 85 85 88 88 90 91 91 91 89 88 90 91 90 89 90 90 89999999999999999999999999999999999999999999999999999999999999999999106105105105104104104104104104104104104999999106106107107106106106106106105105999999104103102102101101101100100 99 99 99 99 99 99 98 98 98 98 98 97 97 97 97 97 97 97 97 97 96 96 96 96 96 96 95 95 95 94 94 94 94 94 94 94 94 94 94 95 95 95 95 95 95 95 96 96 96 97 97 97 98 98 98 99 99100100100101101101101101101100100100 99 99 98 98 98 97 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 99 99 99100100100101101102102103103103104104105105105105105106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 85 92 94 96 97 97 98100100 99 98 96 95 93 92 92 90 86 84 83 82 80 80 79 81 84 86 86 85 89 90 90 91 93 93 95 96 96 98 98 97 97 96 95 95 94 94 94 94 93 91 91 90 88 89 91 93 92 94 94 95 95 94 93 92 91 90 89 93999999999999999999999999999999999999999999999999999999999999999999107106106106105105105104104104104104104104104104105105105105105105105105105104104103103102102101101100100100 99 99 99 99 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 96 96 96 96 96 95 95 95 94 94 94 93 93 93 93 93 93 93 94 94 94 94 95 95 95 95 95 95 96 96 96 97 97 97 98 98 99 99 99100100101101101102102102102101101101100100 99 99 98 98 98 98 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 99 99100100100101101102102103103104104105105105106106106106106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109111110109110110110110109110111109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 85 99 99101103104105105105104 99 96 94 90 89 90 86 84 82 82 80 80 80 80 80 82 87 85 86 88 91 91 91 93 94 96 96 98 98 98 97 96 96 95 95 95 95 94 94 94 93 94 95 95 94 94 94 94 95 95 96 94 92 90 90 89 89999999999999999999999999999999999999999999999999999999999999999999999999999107107106106105105105105104104104104103103103103103104104104104104103103103102102102101101100100100 99 99 99 99 98 98 98 98 98 97 97 97 97 97 96 96 96 96 96 96 96 96 96 96 96 95 95 95 95 94 94 94 93 93 93 93 93 93 93 93 93 94 94 94 94 95 95 95 95 95 96 96 97 97 98 98 99 99100100100101101102102102102102102102102102101101101100100 99 99 99 99 99 99 98 98 98 98 98 98 99 99 99 99 99 99 99100100 99 99 99 99 99 99 99 99 99 99 99 99 99100100100101101102102103103104104104105105106106106107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108109107108109108108109109109109109107105103999999999100107105108107107999999999999999999999999999999999999999999999999999999999999999999999999999999 84 95 85 86106 89108110111111111106 99 95 92 91 90 88 86 84 82 81 81 80 81 81 82 84 88 88 91 92 92 93 95 97 98 99 99 99 97 96 96 95 96 96 96 95 95 95 95 95 95 97 97 95 95 95 95 95 94 92 90 89 90999999999999999999999999999999999999999999999999999999999999999999999999999999108108107107107106106106105105105104104103103102102102102102102102102102102102101101101100100100100 99 99 99 99 99 98 98 98 98 98 97 97 97 97 97 96 96 96 96 96 95 95 95 95 95 95 95 95 95 95 94 94 94 93 93 93 93 93 93 93 93 93 93 93 94 94 94 94 95 95 95 95 96 96 97 97 98 98 99100100101101102102102103103103103103103103103102102101101101100100100100100100 99 99 99 99 99 99 99100100100100100100100100100100100100100100 99 99 99100100100100100101101101102102103103104104104105105106106106107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108108999999999999999999999999999999999999999999999999999999999999999105106106109110107106106106106107107107108107103102100 99101 99 99100 99102104106105106107999999999999999999999999999999999999999999999999999999999999999999999999 84100 85999999999999999999115115113102 96 92 90 91 90 89 85 82 82 82 83 81 80 81 84 87 88 92 93 94 94 94 96 99100 99 98 97 97 97 97 96 97 97 97 96 96 97 96 96 97 97 96 97 97 95 95 93 91 90 91999999999999999999999999999999999999999999999999999999999999999999999999999999999108108111111107107106106106106105105104103102101101101101101101101101100100100100100100 99 99 99 99 99 99 98 98 98 98 98 98 98 97 97 97 97 97 96 96 96 95 95 95 95 95 95 95 95 95 95 95 94 94 94 94 94 93 93 93 93 93 93 93 93 93 93 93 93 94 94 94 94 95 95 95 96 97 97 98 98 99100100101102102102103103103104104104104104104103103103102102102101101101101101100100100100100100100100100101101101101101101101101101101101100100100100100100100100101101101102102102103103104104104105105106106107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110999999999116113112112114116118118118120119119121119118117115117118118118117116999999999999115106107110116117115116999999999999999999999104102101101100101999999999106106106108106105104103104105105105104103102100 98 97 97 97100100102103103104106106107109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 92108107 98 92 90 87 86 85 84 80 81 83 85 82 80 80 82 85 90 92 93 93 93 96 96100 99 98 97 98 97 97 98 97 97 96 97 96 96 97 96 96 97 97 96 96 97 94 94 94 92 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109111111109108108105105106106105104102101100100100 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 96 96 96 95 95 95 95 94 94 94 94 94 94 94 94 94 94 94 94 93 93 93 93 93 93 93 93 93 93 93 93 93 93 94 94 94 94 95 95 96 97 97 98 99 99100101102102103103103104104104104104104104104104104103103103102102102102102102101101101101101101101101101101102102102102102102102102101101101101101101101101101101101101102102102103103104104104105105106106106107107107107108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130121117115112113114116117116114115115116118119120120118119118118117116117117116114115114111114999999999999114108109110117118117118117122112112108105101 98100102104103102105999103106106106105101101105106104104103103103104106102 99 97 93 93 99 98105105105106106108111112121118105105104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 92108 96 87 87 86 86 84 84 81 82 82 84 80 80 81 81 84 88 91 93 94 97 98 98100 98 97 96 98 98 98 98 98 97 96 96 96 96 95 94 94 95 95 95 95 95 95 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109109111111110110110109107103101100 98103102100 99 99 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 97 97 97 97 96 96 95 95 94 94 94 94 94 94 94 94 94 94 94 94 94 93 93 93 93 93 93 93 92 92 92 92 92 93 93 93 93 93 94 94 95 95 96 96 97 98 99 99100101102102103103104104104105105105105105105104104104104103103103103103103102102102102102102102102102102102102102102102103102102102102102102101101101101101101102102102102103103103103104104105105106106106107107107107108108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117116114116121121120119117116117119119117118118119120121122121121121120118117117119119118115114115112112114116117117116118119117116119121121118120119115108105101100100101105106106106104105100 99108108103104105104103103103104105105104104104100 94 94 98 92 93 96103104105100100100100113 97 96999999999999999999999999999999999999 88 92 89 88 90999999999999999 86 78 80 82 85 95 94 93100104 95 83 80 81 82 84 82 82 79 82 81 82 79 80 82 83 82 90 91 92 92 93 95 98 98 98 97 96 96 97 98 97 97 96 96 96 95 94 93 94 95 94 95 95 94 95999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109109109111111111113113111108106102101103999999100 99 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 97 97 97 96 96 95 95 94 94 94 93 93 93 93 94 94 94 94 94 94 94 93 93 93 93 93 93 93 93 93 93 93 94 94 94 94 94 95 95 96 96 97 98 98 99100100101102103103104104104105105105105105105105105105105104104104104103103103103103103103103103103103103103103103103103103103103103103103103103102102102102102102102102102102103103103103104104104105105106106106107107107107107108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112113114116115113118121121120119118118120121121120120121121122123123122121117117118118118119120117117117116117118116119120122121121119118118120123118119120121120116113109109107105108109110110109108110104104105105106105104105102101103104103102101100100101100 88 86 87 86 98999999999999999999999999999999999999999999999999999999 88 87 85 83 83 84 83 81 79 78 77 75 74 75 76 79 84 81 91 94 88101 99 93 80 78 76 81 82 82 80 78 82 82 79 80 84 85 82 81 88 90 90 93 93 96 96 97 97 96 96 95 95 96 97 96 96 95 94 94 92 91 92 94 96 96 95 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109109112111112112111112111108105104999999999999999999 95 93 94 95 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 98 97 97 96 96 95 95 94 94 94 93 93 93 93 93 93 93 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 95 95 95 95 96 96 96 97 97 98 99 99100101101102103103104104105105105105106106106106106105105105105105104104104104104104104104104104104104104104104104104104104104104104104104104103103103103103102102102103103103103103103103104104104105105105106106106107107107107107108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113112110111122122123122121121119119119119120120120122122121121123123123123124124124123121120120121118119119119119121121122123120123123120121121121120120120121122123122121120120120117116117114112112112114112110109109107107106104104103102103103101102 99 95 90 91 89 90 89 86 89 96999999999999999999999999 89 87 86 87 85999999999 84 83 83 82 81 80 79 79 75 74 77 76 74 75 75 78 80 81 86 95 96 87 91 89 84 81 82 83 85 86 87 83 82 82 84 83 83 83 81 79 81 89 92 94 94 96 95 96 95 95 94 93 92 93 94 94 93 94 91 91 90 90 90 93 94 97 98 99 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109111111111112112109106106105999999999999999999999999 98 92 95 97 97 98 98100 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 99 99 98 98 98 98 97 96 96 95 95 94 94 93 93 93 93 93 93 93 93 93 94 94 94 94 94 94 94 94 94 95 95 95 95 95 96 96 96 96 97 97 97 98 98 99100100101102102103104104105105105105106106106106106106106106106105105105105105105105105105105105105105105105105105105105105105105105105105105105104104104104104103103103103103103103103103104104104104104105105105106106106107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108110108116120122122122122122121120120119119120122125128127124123124124125125125125127127127123122121121123124125124124124121122122122122122122123123122122123123123125125126125125125125124123120116114114114113111111110109109110109108108107107108106108106102 92 97 95 91 91 89 88 88 88 89 89999 88 87 86 85 84 84 83 84 83 83 83 84 82 81 80 78 77 77 77 75 76 77 75 76 76 75 73 79 79 80 81 81 80 89 87 86 90 88 89 90 88 89 90 88 88 87 87 86 84 82 79 78 81 86 91 92 92 93 95 94 93 91 89 89 88 90 91 90 91 90 89 88 89 90 91 93 96 97 99 95999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110112111112112112111110108105106999999999999999999 94 94 92 94 97 97 97 97 98 98 99 99 99 99100 97 97 97 97 97 97 97 97 98 98 98 98 98 99 99 99 98 98 98 97 97 96 95 95 94 94 93 93 93 93 93 93 93 93 93 94 94 94 94 94 95 95 95 95 95 95 96 96 96 96 97 97 97 98 98 99 99100100101101102103103104104105105106106106106106106106106106106106106106106106106105105105105106106106106106106106106106106106106106106106106106106105105105105104104104104104104104104104104104104104104104105105105105106106106107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107106106107104114117121122122122124121122124120121122125128129129128129127130130130129125125126126125126124126126129128127128128123124124123124124124124123123124124124124124125125125126126125125125124121119117117117115114113113114113112112111110111111110109108106 99 98 97 95 91 90 90 86 87 88 85 84 84 84 84 86 86 86 85 84 83 82 83 83 82 81 80 80 79 78 78 79 79 80 77 81 80 77 80 79 81 82 87 88 89 90 92 93 95 97 97 98 97 97 95 94 91 91 90 91 84 80 79 79 81 85 88 90 93 92 92 90 87 86 86 86 87 87 88 88 87 87 86 88 89 91 94 97100 99 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112112112112111110108109108106104999999999102 95 94 93 94 94 95 98 99 99 99 97 97 97 98 97 98 98 98 99 99 99100 97 97 97 97 97 98 98 98 99 99 99 99 99 99 98 97 97 96 95 95 94 93 93 92 92 92 92 93 93 93 93 94 94 94 94 95 95 95 95 96 96 96 96 97 97 97 98 98 98 99 99100100101101102103103104104105105106106106106107107107107107107107107107106106106106106106106106106106106107107107107107107107107107107107107107107107106106106106105105105105104104104104104104104104104104104105105105105105106106106107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106106107108110113115118122120121121126124124128128127128129130131129129132130130132132132129130131131126126127129130129129130129129129129126125125125125125124124124125125125126125126126125126127126126126124122122123123121119118119121120119118118117117114115112112112111108101 98 93 91 90 90 90 89 88 85 85 84 85 86 89 88 87 86 86 86 87 86 85 84 83 83 81 81 80 81 83 83 87 91 91 89 87 87 88 89 94 95 95 96 99100100100 99100 96 99100 96 95 94 91 86 80 79 79 84 86 88 91 91 92 92 90 88 85 85 84 86 86 86 85 86 86 85 86 90 94 95 99101104 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114113112112111110109107107106105106106999 99 98 98 98100101 99100 99100100 99 99 97 97 95 95 93 93 94 94 95 96 98 99 98 98 99 97 97 97 98 98 98 99 99 99 99 98 98 97 97 96 95 95 94 93 93 93 92 93 93 93 93 93 94 94 95 95 95 95 96 96 96 97 97 97 97 98 98 98 99 99 99100100100101101102103103104104105105106106106106107107107107107107107107107107107107106106106106106106106107107107107107107107107107107107107107107107107107107107106106106106105105105105105105104104105105105105105105105105106106106106107107107107107108108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107107106108109110119118117120121119120120123124125126124126127127128128129133133130131133134134134134133130128129128128129128128128128128128127127127126126126126125126125126126126126127127127127126127127126126125126126127126126125124125124124124123122121122120121118116116113114109105 99 96 92 90 90 89 90 89 90 87 88 88 89 88 88 89 88 88 88 87 86 85 84 83 83 84 84 85 86 85 88 92 92 92 90 90 92 97 98 99101103102102102103102102100101 99 96 95 91 88 83 80 81 86 89 89 88 88 88 85 85 86 85 85 85 85 84 85 84 84 84 83 87 91 95 97100102 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113117115114113111109108107107106105106104101100 99100102103103102100100103102101101100 99 97 95 95 93 92 93 92 91 92 94 97 98 98 98 98 99 99 99 98 98 99 99 99 99 98 98 97 96 96 95 95 94 93 93 93 93 93 93 93 94 94 94 95 95 96 96 96 96 97 97 98 98 98 98 99 99 99100100100101101101102102103103104104105105106106106107107107107107107107107107107107107107107107107107106106107107107107107107107107107107107107107107107107107107107107107107106106106106105105105105105105105105105105105105105106106106106107107107107107108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110110111109108108110110118120119120120120119120121121126125126127126126128128128128128128131132133131130131132131130130129130128129127128128128128128128127127127127127127126126126125125124125125126126126126128128128128128128128128127128127127126126124123124123123121122122122119117118117118117112104100 96 93 93 92 90 90 92 94 95 95 95 94 94 95 95 93 92 91 89 87 86 86 87 87 91 88 87 86 87 94 94 96 96 98101103105107108106105103101101100101100 98 97 95 92 88 86 80 79 81 83 85 85 84 80 80 82 82 82 83 83 83 82 81 80 81 83 85 88 93 97100101102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117115115114111110108107106105106103102102101102102102103102102102103103103103103102102101 98 98 96 93 94 92 91 91 91 94 97 97 96 97 98 98 98 99100101101 99 98 98 98 97 96 96 95 95 94 94 93 93 93 93 94 94 94 94 95 95 96 96 96 97 97 98 98 98 99 99 99100100100101101101101102102103103104104104105105106106106107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107106106106106106105105105105105105106106106106106106106107107107107108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110111110108108115116117118119121120121121121121121122124125126127129126127127128129128129129130129133132132131129130130130130130129128129128128128129128128128128128128128127126127126126125126127127127128127128129129128128128129129129128128126126126125123123123123123121120121121118117117117117116115109105 99 95 94 94 94 93 95 97 98100102101100100 98 99 98 97 94 92 91 91 92 94 95 93 90 91 91 94 98 99 98102105107107109109108104102101100100 99 97 96 96 94 90 85 79 75 77 78 78 79 80 80 79 79 80 81 79 79 79 80 80 81 82 86 89 94 96 98101103 91999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114115116116115113112110109109107106105104103103104104103103103103103104104105105105104104103102101 99 97 96 95 94 93 92 93 94 96 95 95 97 97 97 98 99100100101101100 98 98 97 96 96 95 95 94 94 94 93 94 94 94 94 95 95 96 96 96 97 97 98 98 98 99 99100100100100101101101102102102103103103104104105105105106106106107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107108108108108108108108108108107107107107107106106106106106106106106106106106106106106107107107107108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110110110110108106114116118119119120122122122122123123123124125122124125125125126126127128129131130130129129132132132130130130129130130129129128128129129129129129129129129129129128128128128125126124125125125125126125126125128129126129130129128128127127127126124124124123123123122122121118116116116116115112108106104101102101100 98 99100101101102102103101100102100 98 98 96 95 97 96 99100100 99 97 98101101102105110111111110109108106104103103102100 99 97 96 95 94 90 85 80 78 74 75 75 74 77 78 77 77 77 74 72 74 77 80 83 86 88 94 97 99100 89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115118116117118116113112111110110109107106105105105105105105104104103104104105105105105104104103102102100 99 98 97 97 96 96 95 96 98 98 99 97 98 98 98 99 99100100100100 99 97 96 96 96 95 95 94 94 94 94 94 94 95 95 95 96 96 97 97 97 98 98 99 99100100100101101101102102102103103103104104104105105105106106106107107107107107107107107107107107107107107107107107107107107107107107107107107108108108108108108108108108108108108108108108108108108108108108107107107107107106106106106106106106107107107107107107108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115107107107117115112110114117117118119121121122121123124124124126123124125126125125126127127128129128128130128128129130130130130130130130130129128127128128129129129129128127127127127127127127126127124124124124126126125125124126127126126126127127128128128128127126123122124124123122121120120119118118116115115114112109109110111112112106105105107103100100100 99 99 99100101101103103105107107105104103103107107108109110110111110109106106105105104102100 98 96 96 96 93 90 85 82 78 76 75 75 75 77 76 78 75 74 73 70 71 72 79 83 89 92 97102105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119118117119118118116115113111111111111111109109108108108107106105104104105106106106106105105104104102101100 99100 99 99 98 97 98100100 99 99 99 99100100 99 99100 99 97 96 96 96 96 95 95 95 95 95 95 95 95 95 96 96 96 96 97 97 98 98 98 99 99100100101101101101102102102103103103103104104104105105105106106106107107107107107107107107107107107108108108108108108108108107107107107107107108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107107107107107107107107108108108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102104105112112111110113117118117117117119121121121122123124125126127124124125124125125126126129130129129128128128127126128130129129130130130129128127127127126127128127128128128128128127127128127127126126124124124125125125123126126124126126126125125125128127126127125124123122123121121121122122121121120120120119117114114116116114115111109108107105102101102100100 99102104106107109110111110110109108108108109111110109111111110107107107106105103101101100 97 97 94 92 90 87 84 81 79 77 76 78 79 81 78 77 75 74 70 71 73 78 84 89 93 86999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118118119120119119118117116114112112113113112112111111109106106106104104103105106106106105105104103102100 99 99 99 99 99 99 98 97 98 99 99 99 98 98 99 99 98 97 97 96 96 97 97 97 97 97 96 96 96 96 96 96 96 96 96 97 97 97 98 98 99 99 99100100100101101101101102102102103103103103104104104104105105105106106106106107107107107107107107107108108108108108108108108108108108108108107108108108108108108108108108108108108108108108108108109109108108108108108108108107107107107107107107107107107108108108108108108108108108108108109109109108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114105103111111111112111112116118118117118119120121122122124123124124125126127127128128127128129129131131130128128128128126127129129129128128128128127127125125126126127127129128128128128128128127127127126126126124124125125125123124124125125125125125124125124124123124124124124123123122122122123123121123121122122120119117116117117115115111110110109108107106105104103103105107108108109109109111112112110109110110110111110110110109107107107106103103102100100 98 96 94 91 90 89 87 84 83 81 80 79 79 80 77 78 76 74 73999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116120120120120117121120119117116115114113113113113110109108106106106106106106107106106105105105104103102100100100 99 99 98 97 97 97 98 98 98 98 98 98 98 97 97 96 97 97 97 98 98 98 98 97 97 97 97 96 96 96 96 97 98 98 98 99 99 99100100100100101101101102102102102103103103103104104104104105105105105105106106106106107107107107107107108108108108108108108108108108108108108108108108108108108108108108108108108108108108108109109109109109109109108108108108108108108108108108108108108108108108108108108108108109109109109109109109109108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112109111111112113113113115116116118119119120121122122122123123124124125125126127127128129128127129130129130128128128128126126126128126127127126126126126126126127127128128128128128128128128128128128128127127125124124123126125124124124124124124124126126125122123123123124124124123122121121123123122123123123121120120119119119118115114112110108108108107107108107107106108108108108110108109111111111110110110110109108110108108108107107108105103103102101 99 97 94 92 88 88 88 88 85 85 83 82 80 85 84 84 83 83 84 84999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121119119118999999999999113118118115114113114112110108108108107108108108108107107106106105104104103103102101100100 97 99 98 97 98 97 98 98 98 98 97 97 97 96 97 97 98 98 98 99 99 99 99 99 98 98 98 97 97 96 96 97 98 99 99100100100101101101101102102102102102103103103103104104104104104105105105105105106106106106107107107107107107108108108108108108108108108108108108108108108108108108108108108108108108108108108109109109109109109109109109109108108108108108108108108108108108108108109109109109109109109109109109109109109109109108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118115114113112112111111111112112112114114116116118118119121121121121122122122123123123125125125126126125126128128128129129127125127127125125126126126126126125125125126126127127127128128128128129129128128128128128127126127126124124123123125124124124124124123123122124124124123124123123123123123122121121122121121122122122122121121121121120120117116114113113110111109110107108110109109109109109110109109110110110109110111109108107109108108108105106104104103103102100 98 96 94 91 88 87 87 87 86 85 84 83999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119999999999999999999999112115114113112108109109109109109109109109108107106104103104104103103102102100 99 98 99 99 99 99 99 99 99 98 98 98 98 97 96 97 97 97 97 97 98 99 99 99 99 99 99 99 99 99 99 99 99 99101101100101101101101102102102102102102103103103103104104104104104105105105105105105106106106106106107107107107107108108108108108108108108108108108108108108108108108108108108108108108108109109109109109109109109109109109109109109109108108108108108108108109109109109109109109109109109109109109109109109109109109109108108108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102101110109110113116113112114115116114114115117117118118119119120120120120122122122123122123124124125126126125126126124125126126126124124123123123124124123123123124124125125125126126127126127128128128129128128128128127126126126125125123124124123124123126123123122122122121122123121122122122122122122122121121121121121122122122122122122121121120119118117118118117117115113112110110111111111110109110110109109109109109109110109109108109108108108107106106105104104102101101 99 98 97 95 91 90 89 89 88 87 86 88 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112114114112112111110109109109109108108107107105103102101101101101101102102101100100100101100 99 99 99 99100 99 99 98 97 97 96 97 97 96 97 98 99 99100100100101101101101101102101102102102102102102102102102102102102103103103103103104104104104104105105105105105105105106106106106106107107107107107108108108108108108108108108108108108108108108108108108108108108108108108109109109109109109109109109109109109109109109109109108108109109109109109109109109109110110110110110110109109109109109109109108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113103102110113117115116116115114115116116116118120120119120120120121121121121122122123122122123124124125125125126126126124124124125123123123123122121122122121122122122123123124124125125125126126127128128128128127127127126126126125125125123125124124124122123123123122120119119119120120121121122121122121121120120120120120121121121121121121120121118117117117117117118119118117115115114114113113113112111111112111111111111110110110109108108108108107107107105105104102101100100 99 98 95 93 92 92 93 90 88 88 89 92 94 89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112111112112112112111110111111111111110108105104103102100100 99 98100101103101101101101103103101 99 99 98 99 99100 99 98 98 98 97 97 97 96 97 98 99100100101101102102101101102102102102103103103103103102102102102103103103103103103104104104104104105105105105105105105105105106106106106106107107107107108108108108108108108108108108108108108108108108108108108108108108108108108109109109109109109109109109109109109109109109109109109109109109109109109109109110110110110110110110110109109109109109109108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104105108105109111113113113114114116116116119119118119120121121121120121121121122122123123123122118122123124125125125125125126123122122122120121121121120120120120120121121121121122122123123124124124125125126126126126126125125125125125124124124124124123122122121122123121121120119119119119120119121121121121122121121120120121121121121121121121121120120118118118117117117117117118118117118117117118115114114113114113113112110111109108108108106105107108107105105104104102100100100 99 99 98 96 96 96 96 95 93 91 92 93 93 95 91999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113110111111111112112112111111112111111110108107103102102101100 99 99 98 98100102103104100102104104102 99 98 98 99 99 99 99 99 99 99 98 97 97 97 98 98 99100101102102103102102102102103103103103103103103103103103103102105105106103103104104104104104105105105105105105105105105105106106106106106106107107107107108108108108108108108109109109109109108108108108108108108108108108108108108108109109109109109109109109109109109109109109109109109109109109109109109110110110110110110110110110110109109109109109108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102104107107109110111111111111112114114117115117117117116117119119120119122122122122123119119119118118118118118123123120120120121122122122120120121120120120120119119120120120120121121121122123123124124124124125125125125125125125125125125125125125125124124124122122124123122122121120120119119118119120120120123123123122122120121121121120121121121121120120119118119116116116116116115116117117117118116114113112113113113113111109108109107107107106106109106106105105103102101 99 98 98 97 97 99 99 99 99 99 98 95 95 94 94 95 97 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110110111112112112112112112112112112111110109108106105102101100 99 98 98 99 98100101102104104105103103102100 99 98 99 99100100100100 99 98 98 97 98 99 99100101102103103103103103103103103103103103103103104103103103103103104106106106104104104104104104105105105105105105105105105105105105106106106106107107107107108108108108108108109109109109109109108108108108108108108108108108108108108108108109109109109109109109109109109109109109109109109109109109109109110110110110110110110110110110110110109109109108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100101102102101104106106106108108109109109112115117118119120120120120120120119119119119121118119118117115116117117118116115115116116116118119121122121121121122121120119118118118118119118120120120121122122123123124124124124124125125125125125125125125125124124124124124124124123123123123123121121121121120120120120120120121122122122122122121120122121120120120120120121120119119118117116116116115116116116115113111109109109110110110109108108108108106109107107107106104103103102102100 99 99 99 99 98 97 98 99101100100 99 98 96 95 95 97 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113110111112112113113112112111111112111110110109108107105102101100 99 99 99100100101102103103103103104103101100100 99 99 99 99 99100100 98 98 97 97 99100100102102102103103104104103103103104104103104103104103103103102102103104104105105105106106106104104105105105105105105105105105105105105106106106106106107107107107108108108108108108109109109109109108108108108108108108108108108108108108108108108108109109109109109109109109109109109109109109109109109109110110110110110110110110110110110110110109109109108108108108108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101 99100100100100101102102102105105107110112115118119120120121121122122122122121121121120120119118116114114115116116120115113112113114114115119120121120120122121120118117117117117117117118118119119120121121123123123123124124124124124124124124125125125124123124124123124123123122122121122122121121120120119119119120120120120120122122121122121121121121121119120120121120120119119118117114115116117117116116114112110110108109109109108108107106107107106107106105105104103101101101100 99 99100100 99 98 99100101100 99 99 98 97 96 95 99100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110111111112112112112111111112111110110109109108107106105103103102102101102102102103103103103104104103100 99100100100 99 99100100 99 98 98 98100 99100102102103103103103104104104103104105104104105105104104104103102103102102103104104106105105104104106105105105105105105105105105105105105105106106106106106107107107107108108108108108108108108109109108108108108108108108108108108108108108108108108109109109109109109109109109109109109109109109109109109109109109110110110110110110110110110110109109109109108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100 96 96 97 97 96 97 99 99 99 99106107109113114116118119120121121121122122121121122122122121121120118115113113112112111110109108108109110113114116118119120121121120118118117117116116116117117118118120120121121122122123123123124124124125124124125125124124123122122124123123123122122121121121120120119118118118119120119119119119120121121122121121121122122120119119120120120118118117118117116115116116116116116113112112110110111110110111110109109108107107106104104103102101101102100101102102102100 99100101101101 99 99 98 97 97 97 95999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113110110111111112112111111111111110110110110109109108107106105104104104104104104104104103104104103102101 99100100100100 99 99 98 98 98 99100100101101102103103103103103104104105105106106105105106106105105104103103102102103105105105105105105105105105106108105105105105105105105105105105105106106106106106107107107107107108108108108108108108108109108108108108108108108108108108108108108108108108109109109109109109109109109109109109109109109109109109109109109109109110110110110110110110109109109109108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 94 92 93 93 93 93107110109108109112112115109108111113114116117118119120120121122122122121121121121122121120119116114113111109108106105103108108109108112116119119120120120119119118117117116115115115116116118119120121121122121122122123122123123124124124124124122122122121121121123122122121121120120120120119119118118118118119119119119119120120121122122122121122122121121119119120119118118117118118118117115115115115112112112113112112113112114114114113113114113113112110108108106106106105104103104103102102100101101100 98 99100 98 98 98 98999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113110109110111112112112112111110111111110110110109109108108107106106106106106105106104104104103103102101101100100100100100100100100101101101102102102103103104104104104104105105105105106104104105105104103104103102103102103103103104104105104104104104105105106106105105105105105105105105105106106106106106106107107107107107108108108108108108108108108108108108108108108108108108108108108108108108109109109109109109109109109109109109109108109109109109109109109109109109109109109109110109109109109109108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 94 92 93 92 93105108111113114115113113114114116117113114115116117118119120120121120120119119119120120120119117116114114110109107105106104105107107106111115117119119119119119118118118117116116115115116116117118119120121121121121122122122122122123123122121121120121122122120122122122121121121120120119120119118118118119119120120121120120119119120121121120122122121121120120120119116116118118118119117115114114114113112112113113112113113113114115116115113116116115114111110110110107106105106103104104103102102101100 99 99101101 99 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109109109111110111112112111111111110111111111111109109109108108108108108107106106106105104103103102102102102102101101101101100101101102102103104103102103104104105105105105105106105105104105105105105105104104103103104103103103103103104104106105107105106106105104105106104104105105105105105106106106106106106106107107107107107107108108108108108108108108108108108108108108108108108108108108108108109109109109109109109109109108108108108108108109109109109109109109109109109109109109109109109109109108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 97 95 93 97 99106 97 96108110111113114115116114113114114112113115116117116117117119119118118118119119119118118117117116114111109108107105105102102104110111116118120120120119118119119117117116115115115116116117117118118119119120120121122122122122122121122121121120120120119120121121120120120120119118119120119118118119119119120120120120120119119120120121120121122120121120121120119117117119119119116115115114113112113113113115114113114113113114114114113115115115115114113112110109107106106105105104103103102102100100100100102101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110110112112111111111112112111110111110111111111110110109109108108108108108107107106106105104103104104104104104103103103102102102102103103104104102103104105106106105105105105105106106106105105105104104103103104104105104104103104103104105105105105106105105105106106105104104105106105105105105106106106106106106106106107107107107107108108108108108108108108108108108108108108108108108108108108108109109109109109109109109108108108108108108108108108109109109109109109109109109109109109109109109108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105101100 99 97 94 98100 99 99100109105106108109111112117113113114114115113115116117118118118118118118119119118117117118118118118116113110109108106105106106108109113116118120120120120120119119118117116115115115116116115114114114115116118119120121121121121122122122122121121120119119118118116117118117116118117117117117117118119119120120119119120120120119119120120121121119120121120120120120120119117117117116116112112112112112112115115115115114115115115114114114115115115115114114112111108107106105105103104103102 99100 99101102102102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111110112112112112112112110112111111109109109110109109108108107107107107107106105104105105105105105106105104104105104104104104104103103104105106107106106104105105106106106105104104104105105105105104104105105105105105105106106106106106105105105106106106105103106106106106106107106106106106106106106106106107107107107107107108108108108108108108108108108108108108108108108108108108108108108109109109109108108108108108108108108108108108108108108108109109109109108108108109108108108108108108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106104100100100 98 96101101101103103104105107108109110111111112113113114114113114115117117117117117116118118118118117117119119118119117117114113112109107105104105108111113116119119120120119119119118116115114115114115113112110110111113115116118119118120120120121120121121121121120119118118116116116116116116115116116116117117118119119119120119120120120120119119119119120118119120119119120120118118118117118116114114113113112112113113114115113114115115115115114114115114115115114113112112111109107107105105103102101100 99102102103104104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112110110113113113112112111112112111110110110110110110109109109108108108108108107106106106106106106106106105105105105105105105105104105106107107108107105105105105106106105106105105105105105105104104104105105105105105106106106106106105105106106106106106105104104105105105106106107106107106106106106106106106107107107107107107108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100101101101104105104103102104101101102103105105106106111112113113114114112114115115116116117116117118116117118118118117119119119118118117117116115114111106103102104107110114115117118118117117117116115114113113113113112110110110110112114116116118118118119120119118119120120120120119117116115116116115114113114115116116116117118118119119119119119120120120120120118119118119119119119120119119119117117117116115113113113113113112113113113113114115115115115115115115113114115115115113113111111110109107106103102102101102102103103104105106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112110110111113113113112112112111110112110110111111111111110109108109109109108108107107106106106106106107107107106106106106106107107107107107108107107106107107107106106107106105105104104105105105104105105104105105105106106105105105106105106106107106105105106106106107107107105106106105105106106106106106106106107107107107107107107108108108108108108108108108108108107107107107107108108108108108108108108108107107107107107107108108108108108108108108108108108108108108108108108107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102 99 99 98102 98 99105105105104104102102103104104106106107108107110110111114112113113114113113114114114116117116117115116116116116117118118118117115116115112106100 99103106109112112114115114114113113113112112111111110112111110109109109111112112113115115117118118118117116117118117117117117116116115115114114115115115116116116117117117118119119118119119119119119119118118118118120120120120118118118118117116116115114113114113114113112114114115114114115115115115115115114115115115115115114113112112110108106104103103104104105104104105105103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112109110112114114114113112113113113113112112111111111110110109109109109109108108108108108107107107107107108108108107107106108109109108108108108108107107107108107107107107105104104104104105105105104105105105106106106106106106105106106106106107106106106106105106106107105105105105103103105106108106106106106107107107107107107107107108108108108108108108108107107107107107107107107107107108108108107107107107107107107107107107107107108107108108108108108107107107107107107107107107107107106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105102100100102102 99100106107108109108106104104104105106106107106107110111111111112113113114112111113113113113115115115114114114114114114114114114116115116116114110107106106106109111110112112112112112111109109108107108106106106105105105106107107107108110113115118118117117116116116116116117116116116114115115114114115115115116116117117117118119119119118118119119119119119119120119119120119119118118117117116116115115114114113113113114113113115114113114114114115115115115115115116116115116114114113113110108107105104105106105105104105105106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113110112113114114114114113113112113112112111111111110110110109109109109109109109108109108108107107107107108108108107107106107108107108108108109107108107108108108108108107106105105105104105105105105105105105105106106106106106105105105105105104104106107106105106106106105105105106106107107106107106106106106106107107107107107107107107107108108108108107107107107107107107107107107107107107107107107107107106106106107107107107107107107107107107107107107107107107107107107107107106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108104105104104105103108103106109110110110109105105105105106106107106108109111111111112112113112112112112112112113114114115113112112112113113114114114115116117116115113110109109108110111111112112111111110108107106106104104104104104103102102102101101103104107110114115117117117116115115115115115115116116116115114114115114114115115115116117116118118118118117118119119119118118118118118118118118118119118117116116116115115115114113113112113113113115115113114113114116115115115115116116116116115115114112111109107106105105104104104103103105106104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118116117116117999999999999999113111111113113114114114113112111112111112112112112110110109109109109110110111110109108108107107107107108108108108108107106106105106108108108109108108108109108108108109107107106105105105105105105105105105105105105106106106107106105105105106104104106106106105106107107107106105106106106106106107107106107107107107106107107107107107107107107107107107107107107107107106106106106106106106106106107106106106106106106106106106106106106107107107107107107107107107107107107107107106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104107107106107106105105104104104104104110106106110109106105105106106106107107109110111112112112111111111111112112113113112111112112112111111111112113113116116115116116115114113112111111110111111110109109107105105105103101 99 98 98 99101101101100 99 98 98100103105106109111110113113114114114114114112112116115114114114114114116115116115115115116116117118118117117117118118118117118117117118117117117118118117117117116116116116116116114113112112112113115114114115115115115116115115115115116115114115114112112110109106105105104104102101101103105106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117118118116115117115116999999999112114113112113115114113112112112112112112112113113113111111110110110110111111111110109109109108108107107107107108107107107107106106107107108108108107107108108108108108108107106106106105104104105106105105105105105106106106106106106107105106107105106106106107106106106107107107107107105106104104106107107106106106107105107106106106106107107107107107107106106106106106106106106106106106106106106106106106106106105105106106106106106106106106106106106106107107106106106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101103105109109109109107106106107106105105105105105105104107108107105105105105105106107108110111111111110111111111113111113113111111111111111111111111113113115115116115115114115115114113112112111110109107105104102101100100 99 96 94 93 92 94 95 93 96 97 98 96 95 97 99101101103105106107110112113113113112111110113113112112114114114115116117116116115115116116118117116116116116117117116116117117117116117117117118118117117116116116117115115113113112111112112113113113114115114114115115114115115115114113113113111110108108106105104103102101100100102104102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119117116115115115116113113111112113114115115115115113112112112113113113113112113113112112111111111110110111112111111110110109109109108108108108108108108107106106106107107108108107107107107108108108106105106106106106106105105105105106106105105105106107106106106106106106106106106106106107107106107107107107107106105104106106106106104106105106105106108107105105107106106106106106106106106106106106106105105105105105105105105105105105105105105105105105105105105106106106106106106106106106106106106106106106106106106106106105105105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100102104106108110110108106105105106106106106106107108107106107107107106105105105105105106107108109109110110111111112113112112111111110110110110111111112112113114115115115116116115114114113112112111110108106104102 99 98 97 97 97 93 90 94 88 80 88 90 91 91 94 94 94 98 95 96 98101102103104105109112112112111110109106107108109110112113114114114115117115115115116117116116115116115115116117116116116116116116116117116117117116116116116116116115113111110109109111111112112112114114114115115115114114113113112111111110107105105104102101101100 98 97 97 97101104101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117116116116115115114113113113113114115116117115114112112112112112112112112112112112112113111111111112112112112111110109109109109109109109109109109108108107108107106107106107108107105107107107107106106105105105105105106105106106106106106106106106105106107107107106106105105106106106106106107107107107107106107107104103105106107107106104103106106108106107105105105104107107106106106105105105105105105105105105105105105105105105105105105105104104105105105105105105105105105105106106106106106106106106106106106106105105105105105105105105105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 98102104105104105106105104103102102103104105105106107108107107107107107107106105106105105106107107109108108109108111112111112111111110109109109110110111111111112113113114114115115114113114113112111110107105104101 98 95 94 94 93 93 90 90 88 81 80 84 89 90 91 97 97 98 97 91 95 95 98 98100 99101107109109108106105106105106108108109111112112113114114115115115115115115115115115116115115115116115115115115115116116117115116115115115115115115114112111110109110109109110111111112113113114114115115114113111111109108109110107106104102101 99 98 96 95 95 95 96101103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115115116116115115115114112114116116115116117115114113112112111112111112111111111111111110111111112113113113113113113111109108108109109110110110109108109108108107107107107107106106106107107107107106106107106106106105105106106106106107107107107108106106107107107107107107107106106106107106107106107107107106106106104105105105104106107107106106106107107108108106105105105106105106105105105105105105105104104104104104104104104104104104104104104104104104104104104105105105105105105105105105105106105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 91 92 97101102103101100 99100101101100100 98100101102103104105106106106107107106106106105105106106106106107108107108108109112110110111111111111110108108108109110110109109109109110110111112112113113112112111108105104103100 96 95 94 94 92 89 90 80 78 76 78 80 88 90 92 95 96 95 97 97 95 97100 93 94 94 97100102106106105103104104107108109109110110111111112113114114115115114115114113114113113114115115114114114114114115115115114114114114114114114114112112113112111111111112112113113113113114114114114115114112108108107107107109107106106104100 97 94 93 92 92 94 99102103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114116117117116116116115114116117117117116117115114113113112112112112112111111111110110109109109110110111112112113112111110109108109109109110110110109109107107107107107107107107108107107107108107107107107107106107105106107106105108108107106107108108106106106106106105105106105106105106106106105106106106105105105104104103104104104105105106106107107107108107106105105105105103104104106105105105105105104104104104104104104104104104104104104104104104104104104104104104104104104104105105105105105105105105105105105105105105105104104104105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 90 88 86 87 90 96 99 98 96 94 93 92 94 95 95 93 94 97 98100100101101102102103104106106106105105105105105105105106106104106109110110110110110110111110110109107106107108108108108107106107107108108109111111112111111110109105105105102100 98 97 95 92 88 84 84 77 75 74 91 92 95 99102103101 95 93 91 86 94 93 94 90 92 95 96101102101101102103106108109110110110109110111111111113114114115114113111111112113113114114114113113113114114114114114114115114114115114113114113113113114114113114115116116116114114115116116114112110107106106104106107108107106103 98 95 92 92 91 91 96100102103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116115116117117116117117116117117117116117118117116115115113112113113113113112112112111111111110110110109109109110110112111111111110108109109109108109110109110107107107107107107106106106105107107107108109108107108108107108107108109108108108108107107108108107106106105105104104104106105105105106106106105105105105105105104105104105104105105106106105104106107108107106106106106105105104105104108109105105105104104104104104104104104104104104104104103103103103103104104104104104104104104104104104104104104104104104104104104104104104104104104104105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 85 85 85 85 88 90 91 91 89 87 86 87 88 89 88 88 90 94 93 95 99 99 99 99 99100102103104104102103105105105105105104103103106110112112111111110109109109109109108108107107106106105105104104104106107108109109109109110110110108107107106103101 99 98 94 89 92 92 83 83 86 84 77 86 87 91 93 89 88 83 99 89 89 93 93 93 90 91 93 97 97 99101103105107109109110111111111111111111111112113113114114113112111111112112112113113112113113114113114114114114114114115114114114114114114114113114115116117117116116114114113112112111110106104104104106108108107106104102 99 95 92 91 89 91 95 99101 95999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116115117117117116117117116116116116116116117118116115114114114114115114114113113112111111111111111111110109109108109110110113112110109108108108107108109110109109108107107107107107107106108108108108108109109107108107107108108108108108108108107108108108108107106105105105105104104106105105105105106106106106105106106106105104105105105106105106106106106106106106106106106106105105105105105106107107106106103104104104104104104104104104104104103103103103103103103103103103103103103103103103103103103103103103103103103104104104104104104104104104104104105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 90 86 83 82 81 82 83 83 83 84 81 86 85 88 85 85 84 82 83 84 88 90 94 95 94 95 97 98 99 99100100100101103104106104104104103104107110111113112110108108107107108108108107107106104103103102103104101103105106107107107108109110109110109109107105103101 98 95 90 90 88 90 90 88 89 90 92 91 90 90 88 99 99 99 96 98 98 78 92 91 91 93 96 98 99101104106108109109110110111112113113112111112112113112114114113113112112112112112112113113113114113114115114114114114114114113113114114115115113113115116118117115114114113112110110109107104104105105106107107105103103101 98 94 92 89 89 92 97100 99 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116115117117117117117116116116116116117116116117117116115114114113115114114114113112111111111111111111111110109110109109111112110110109107107105107108110110110110109109108107107108108108108108108108108108108108108106106105106106107107107107108108107108108106103104105104106106104105105105105105106105105105105106105105105106105104104106106106106106106106105105105105105105104105105105105104105104104105102104104104104104104104104104104103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 93 94 91 88 84 82 80 79 80 80 80 80 83 86 89 91 91 96 88 84 82 80 82 85 90 90 90 92 96 96 97 97 95 95 95 99100101101101102101102104104105107105107107105105104105106106106106105102101102100100100100101102103104107106107107107108109109110110108105103101101 98 96 97 96 96 98100102102102101100 98 96 95 93 90 93 93 93 84 88 90 92 95 99101 99103104106108109109108108110111113113113114114113112113113113113113113112113112113113114113113113115115115115114114114114113113113114114115114114115116117117117116114113112112112111109107105105105105104105104103103101 99 96 93 91 89 90 93 97100101 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115116117118117116116116116116117117117116117118117116115113113115113114114113112112111111111111111111110110110109107109111999999999109108108109108109109109108109109109108107107107108109108109108107107106107106105104105105106106107106107107106106107106104104106105105105105105104106105106106106105105105105105105106106105106106105105105106105105105105104105105105105104106106105102103103105103103105106106105104105104104104104104103103103103103103103103103103103103102102102102102102102102102102102102102102102102103103103103103103103104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97 96 95 94 92 90 87 86 86 85 86 86 86 86 89 92 93 93999 96 88 85 86 83 79 80 82 84 86 87 91 93 94 93 91 91 91 92 93 92 92 95 97 99100103101101101102101103101102101102104104103103102101100100 98 97 97 96 99 99101105107107106107106107108108109110109107105104103102101102103103103105106107104102101100 97 95 99 99 97 96 94 91 94 96 97 99102104104104104106106106108107107108109111111113113113112110110111111112113113112113112113114114112112113114115115115115115114113114113113114114115115116116117118118117116114113112112111110109107106105105105105105104103101101 99 95 92 90 90 91 95 98100101101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117116117117118118117117117117118118117117118118116114114115114115113114113113112111111111111112111110110110110110110110110111999999109107108109109109108109110108110107106107106108109109109109108108106105105103104104104104104106106106106107108107106105106106106106106106106106105106105106106106106106106106106106105105105106106105105105105105106105103105105104105104103105105105105105105106102103105106106106106104104106104104104103103103103103103103103103103102102102102102102102102102102101101101101101101101102102102102102102103103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101 99 98 97 96 96 95 94 94 92 91 92 92 93 95999 99 97 96 94999999999999999 90 89 85 83 81 79 81 84 86 87 90 90 88 89 88 87 87 86 85 88 91 96 97 97 96 96 97 97 98 98 98 97 98 98100100100100 99 98 98 97 96 95 93 95 95 96100104105106106106107108107108108108108107106105104104103103105105106106106107106105103101100100102102101 98 97 97101102103104105105104105105105105105106106107107108108109110110111111108108109110111112111111111112113114113112113113114114114114115114114114114113113114115116116116116117116118118117114114112111111111111109108107108107107106105104103101 98 95 93 91 90 90 94 97 98100100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117116117118119119117117117118117117118118118115115114115115114114113112112112112112112112112111111110110110110111111111111114999999109107108109109109109108109108108107109110109108108109109107106106105104104104103103103103104105105106108108107106105106107106106107106106106106106105105106105105105106106106106105105105105106106102105105105105103104104105104105104105104103104105105106105106106105105104105104104104104104105104103103103103103103103103103102102102102102102102101101101101101101100100101101101101101101101102102102102102103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102102101100100 99 97 97 97 98 97 97 93 94999999999 98101101101999999999999999999 86 87 85 82 80 79 78 80 81 83 85 87 85 86 85 85 84 83 82 84 85 86 88 91 91 92 92 92 95 93 94 93 94 94 94 95 97 97 96 96 95 94 94 94 94 94 93 94 99101103105106107108108108108107108108107106105105104104104106106106106107107107108107107106106105104103102101103103102102102105106105105106106106105106106106106107107107108108108109108108109109110110111111112113114114113113113113114114114114114114114115115115115115116116117116116117117118117117116114112111112112112113111111112110109107106105102102101 97 94 92 89 89 92 96 98100 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117118120120119119118117117117117118117116117115115114114114113112112112112111112112111111111111112111112111111112112112112111999999999108109108108108108107107105107107108108107108109108106105105106105104106106103103104104105106106107106106106106107107106106105105106106105105105105104105105105105105105105106105106104105105104106105105105105105104104105104104104103104104104105107107104105106105106106104103102103103104101101103103103103103103103102102102102102102102101101101101100100100100100100100100100100100101101101101101102102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110103103102102100100100 99100101103102103104104104107106105104999 98999999999999999 85 84 83 82 81 79 78 79 79 82 83 83 82 84 84 84 82 81 81 82 82 82 84 86 89 90 92 90 91 92 92 92 92 92 93 93 93 95 95 95 96 96 97 96 95 94 93 95 97 99101103105106107108107107107107107107106105105105105105104106107108108107108108107107107107106106105104104103103101100102103104105107108106106106105106105106106106106107108108108108108109109111112112113114114114115114114114114114115115115115115115116116116116116115115115115115115115116116115115114114113112110111112113113113112110109108107104102100 98 95 92 90 88 91 95 96 99 98999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120120120120119119117117116116117117116117116115114113112112111111110111111112112111111111112112112112111112112112112112110109109999999109108108108108108107108106106106108108108108107106105106106106106106105105104105105105106106107109109107107105105105105105105105104105105105105105105105105105105105105106105105105106106105106105106105106103104104104105104104103104104104104104106102103106106105106104104105104104105104104104105103103103103103102102102102102102101101101100100100 99 99 99 99 99 99 99 99 99100100100100101101101101102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110104102102102102102103103105110106107108110110110110108107107107107105999999999 82 80 81 81 79 80 80 80 79 79 80 81 82 82 83 83 83 84 82 81 81 81 82 84 86 88 90 91 90 90 90 90 90 92 92 92 93 94 97 98 98100100100 99 98 98 97 96100100 99102104106106107106106105106106106107105104105105106106106107108108108108107106106106106107106106105104104103102101102102101102104107105105106105104105107106107107107107108108109110110111112113114115115115116114114114114114115115115116116116116117117117118117116115115115114114114114115114114113112112111111111112112112112111111110108107104103101 97 95 92 91 90 91 95 98 99 99 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118119119119119119118117116116117117116116115115114112112111111111111111111111110110110111112111110110110111110111111111111109108108109108108108109108108108107107999109108107107107107107106106106105106106107106105106107108107108108108106105105105106106106105105105105105106105105105105105105105104104104105105105105105106106106105104104105102104105104104104104103102104103104103103103103103103105105105104105104105104104104104103103105103103103102102102102102101101101100100 99 99 99 98 98 98 98 98 98 98 99 99 99100100100100101101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101105105107108107106103103110111111111111108107107107106100 99 97 87 85 83 81 79 78 80 81 80 80 81 80 82 82 83 83 84 84 84 86 84 83 83 83 84 86 86 88 88 88 88 90 91 91 90 90 92 95 98 99100100102103103102101101101100101101102103104105106106106106106106105106107106106106106106106107107108108108109108108107106106105105104104105104103102101101103102101101102103104105105104105107107107107107107107108109110110111111111113114115115115116115115115115116116116116116115116116117116116116115114115114114114114113114114113112112113113113113113113112112110110108108106105104101 98 95 93 92 91 89 93 99100101 98999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117118119119119120118117116116117117116115114114113112112111110110110110110110110110110110110111110108109108109109109110111111110110110108109109109109109109110109108107109110108109106107105105107106106107108108107106108108106106107105105105105105106106107107106106106106105105105104104104104103104104104104104104104104105104105106105105104105103102104104103103103104103101102103102103103104103102103103103104102102103102103103103103103103104106102102102102102101101101100100 99 99 99 98 98 98 98 98 98 98 98 98 99 99 99 99100100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101999999999999999999999999999107112110109110109105101 96 93 92 92 91 89 83 80 82 83 82 84 82 84 84 83 84 86 88 88 87 86 85 84 85 85 84 84 85 86 87 86 87 87 88 89 90 91 94 98100101103103103104106106105106106104102102102102101105107107107107107106106106106106107106106107107107107107108109109108107106106106105104103103103103101100100101104104102 99 99101103104105104106107108107106106106107107108109110110111112113113114114114113114115115116116117116116115115115115115115115114114113114113114115116115115115114114113115115115115114113112111110109109108106104103102 99 97 95 93 91 89 92 97101102104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120119118119999999999999999999116118118119119120120118116116118117117116115115114113113111110110111110110110111111111109110110110110109108107107107108108107110110110109109109109109108110110110110110110108107108107109106106108106107108107107108107108108107108107107104104104105105105105107107106106107106106105104104103103103102103104104104104103103104104104104104105105104104103103102103103103103103103103101101104102102102104102102101102102104102101100101102102104104103102103104103104102101101101101100100 99 99 99 98 98 98 97 97 98 98 98 98 98 98 99 99 99 99 99 99 99100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113112110109109108106108100 98 99 98 93 92 88 84 84 84 87 87 87 87 87 85 87 88 89 90 90 90 89 88 86 86 86 85 84 86 86 86 86 86 88 90 91 92 96100102104105106109111112111111111111108106105104102101102105106107106106105106106107107107107107108108108108108109110109109109107105105104104102100100100 99100100101103104102 99100100102103105106107107107107107106106107107108109110110112112112113113114114113114115115116116116116116115115115115116115115115115114114114114115115115115114115115115116116116115114113112111110110110108107105103103100 99 97 94 91 90 91 95100104105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117118118119119117115115116116116117119119119120120120118117116116115115115114114113113112111110110110110110109109109109110109110110110109108108107107107108109110110108109109109108107109109109109109109109109109108108108106107107107107108109109109108108107107106106107106106106104105106106107106106106106106105104104104103103103103103103103103103103103104103103103103104105105104103103103102102102102102100101102102104103102103102102102103102101102103102103102103103101103104104103103104103102101101100100100 99 99 99 98 98 98 97 97 97 97 97 97 98 98 98 98 99 99 99 99 99 99 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109116113110108108107105105103102100 98 96 95 91 89 90 92 93 93 92 93 93 92 90 91 93 93 93 93 91 90 89 88 87 88 87 87 88 88 88 88 90 90 91 93 97102106109113110114116114113112112110110106106106105103103104105106106106106107107106107108108108109110110110111110110110109108107106105104103101 99 98 97 98100101100103104102102102102103104105106107108109109109108108108108110110111112113112113113114114114114113115115116116117117116116115115115115115115115114114115115114115115115114114114114115115114115115114113111111111111110109108105103102102100 99 95 91 87 90 95100104105109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116117118119120119119119120118118119118118119120120120120120118117116117114114115113111112112112112110110110110110110110110109109109109110111111109109109108107107109109111111110109110108109108109109109108109108108109108108108108106107108108107107108109110109108109107106105105105105106106105105106106106106107106105106106104103103103103102102102102102103102103103103103102103103103104104104103102103101101101101100101102102102103103102103103105104103103103106104104103103101102102103104103103102100101100100103100 99 99 99 98 98 98 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118113111110111999999999109107103102101100 98 97 98 98 99999 99102101102102101102103999999 93 92 91 90 89 89 89 89 91 90 91 91 92 93 94 95 97102108111112114117117116116999999999999112107107106104104103103104106106106106106106108108109109110111110110110110109109108107106105105104102100 98 97 97 98 99102100104104104104105104105104106107109109110111110110110109109111112112113113114114114114114114114114114115116117117116116116115115115115115115115115114114114113112113113113113114113113111112112112111110110110110111110109106104104103101 99 98 94 90 89 90 96101105107109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117118119119120121121120120120120120121120121121120120120120119118117117116115112112112111111111112111111110110110111110111109109109109109110110111111109109109109109110110109110108109110109108108108109108108109108108109109109109108107108106106107107108109110109109108107107106106106106106106106106106106106106106105105106105104104103102102102102102102101102102102103102102103103103104103103103102103102102101101101101102103103102102103101103105104107105106104103101104104104105103105103103103103101 99100 99 99100101101 99 98 98 98 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119116116999999999999112108106105104103102102101103103103999999999999999999999999999999999999 97 93 92 91 91 92 94 94 96 99100100100101101102105109112114116119120117117999999999999999108105106105105104104104104105105106106106107107109110111110110110109108107106105105105104104103103102100 99 98 99100100103102102104105106105105105106107108108109110111111111111112112112113113113113113113114114115115114115115115116116116116116115115115114114114115115114115114113113113112112112112112112110110111110110109109110110109109108106105105104102 99 97 95 90 88 90 96101104106107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120119117118120120120120120121121120120121121121121120121121120120120119118117116113114114112111113112112112112112110109109111110109109109109108109110110111110110109110109110110110110110109108109108108109110110109107109110109108108108108108107107108107106109108108109108109109108108108107107106107107105105105105105105104104104105104103103103102102102101101101101102101102101101102103103103103103102103101102103101101101101101101102102103103102103102104103104106105103104102104104105103104105105102102100 99 99 99100100100 99 98 96 98 98 97 97 97 96 96 96 96 97 97 97 97 97 97 97 97 97 96 96 95 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131123122125109999108107114110107105104104103104104105105107 99999999999999999999999999999999999999999 99 93 94 96 97 98100103104105105107109109110113115116117120121120119121115999999999999105105106105105104104103104105106106106106106108110111112112112109106104104104104104104103103103102101101100 99 98100100101103103104105105105105106107107107108109110111111112112112112112112112112112113113114114114113113113113114115115116116116115115114114114114115115116115115115114114114113111110110110110111111110110109109110110109108107107106105103101 98 95 93 90 92 97101105106107107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118119120120119119120120120120121120120120120120119120120120120120119119119118117115113113112111110109112112111111110110109109109109109110109110109108109110110110110109110110110110110110110109109110109109110110109109109109109109108108107107107107107107106108108109108107108107108108107107108106107106107105104105104104105104104104103103102102103102102101100100101101101101101103102102102101102101101101102101101101101101101100101101100101102102102102102102102102105104103103103105103104103103103103102101100101100 99101101100 97 97 98 98 99 99 97 97 96 96 96 96 96 96 96 96 96 96 96 96 95 95 94 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131125127129109999999999999999104106104104105105106107 99110999999999999999999999999999999999999999999999999 99 97 98 99102104106108110113115116117118119119120121122123121122124126999999107106106105104104104103101102104106106107106107107110112112112111107104104103104104104104104103101102101101100 98 99100101102103103104105105105105105106106107108108108108109109110110110110110111111111112113114114114112112111112112112113114115116116115115114114114114115116115116116116115115115113111111112111110110110110110110110110110110110109107105104103101100 98 95 92 96100103105105106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119120119120119119119120119120120119119119119119119119120119119119118118117116115115112111111110110111111111110109108109109109108108108110110108107108108109109110110110110110110111110110109108110110110111112111110110110110109109108107107107105106106106107107108109107107107107107107106105106105107106106105104104103104104105104103103102102101101102102100100100100101 99100100102103102101102100101101101102101102101102101100100100100101101101100101102101100102101100102103102102102103103103103104103103 99 99 99100 99100100 99 98 99101100 98 99 98 96 96 96 96 96 96 96 96 96 96 96 95 95 94 94 93 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115110110110109999999999999114111107104104107108109999999100999999999999999999999999999999999999999999999999101100101100101105109112114117120122122122123123123123123122123125125126999999107106105104103103104101100100103105106106106107107110112111111109107105105105104104104105105105104102102102101100100101102103104104104104104105105105105106107107108108108107107108107108109110110110111112113113114113112111111111112112113113113114115115115115115115114114114114114116116114114115114113112113113111109109110110111111110110111111109107106106105104103101 97 95 98 99101105105104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119118119119119119118119119119118119119118118118118118118119118118118116116115115114113112110110110110109110112111109109109109107108108108109109109108108108109110110110109110110110111110109110109109110109111110111110110110109109109107107107106105105106106107106106108107106107106106105104105104104106106105105104104104105105104104103102102102101101102101101101101101101101100 99 99100 99 99100 99100101101100100101101101101101100100100100101 99 98 99 98 98 98 99 99 99 98100101102102103103103103104102101 97 97 98 97 99 99 99101101101100 97 96 96 96 99100 96 96 96 96 96 95 95 95 95 94 94 93 92 92 91 91 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112111108107109111117999999112113999999999999999999999999999999999999999999999999999103105104104107111115119122125128126127126125124124123122124126126119120999108107105103103103104102100101103105106106106108107109110109109108107107106106105105106106106106105105105102102102102102103103104105105104104105106105105105106106107108108108108108106106106108110110110110111112113113112112111111112112112112113113114115114114114114113114114113114114114114114114114114113113114113109109110110111111111111110109108108107107106105104102100 99 98 98102104105102101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119116117118118118118119119118118118118118117117117118117118117116116115115114114114113110110110110110110110111110109109109109109108108109109109109108108108108109109108109110110109110109110111110111110111111110111110110109109108108107108106106106105106105105106107106106107106105105105105105105104105106105105104105105105104103103102103103103102102101101102100101101101 99 99100100 99 98 99101 99 99100102102101100101100100100101101101101 99100 98 96 97 97 98 97 98 98 98 98 98100101102102102101102101100 99 95 95 96 96 97101 96 99100 93 96 97 96 95 98 98100100 95 95 95 95 95 94 94 94 93 92 91 90 89 89 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111116115115114114114113999999999112113999999999999999999999999999999999999999999999999999999999106106107109112116120126128131129128126125125124125126127128121120999999999106105103102101102103102102103104105106107108107108109109109108108107106107108107107107107107107105104103103103102103103104104104103102104104104105105104105106106107107107107106105104104106107108109110110111112112111112111111112112112111112112113113111110111110109110112112113113113113114114114114114114114113112109111112112112111111109109108108108107105105105103102 99 98100103105105102102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119116118119118118119118118118117117117117117117117117117116116115115114114113113111111110110110111109111110110110110109110110108109111110108109109109109110109109108108108109110110110109109110111111112111110110111111110109109109109108108107108106106106106106106106106106107106106105105105105104103106107106107105105105105104104104104104104103103103101102101102101101100101101100101101101101101102101101101101101101101101100100101101100100100 99 97 97 97 97 94 95 95 97 97 97 98 99 99101100 99101101101100101102100 96 97 98100101100 99 96 95 96 97 98 96 97 99 98 97 99 94 93 93 93 92 92 92 91 90 89 89 89 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112112111111111110110999999999999113113999999999999999999999999999999999999999999999999999999999999999999107109111114119123130134134131129128127127127130127128121999999999999107105104103103103103104103103104106106107107106108108109109108108108107108109109109109108107106104103104105105102103105104103102101100101102102102103103103104105105105105105105105104104104106107108109109110110111110111111111111111112111111112111110109109109109109111111112113113113113113112112112113113113114113112111111111111110109107108108108108108105107106105104102102102102105105104102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119119119119119119118118117117117117116116117117116116115115114114114113112111110110109110110110110110110110110109109109109110109109110109110110110109109110108108109109109110110110110111110112112111111111111111110110109109107107108108108108108106106106106106107107107107107107107106106106106105106106107107105105104104104105105104106105104104104104103102102102101101101101101102101101101101101101101102102102102101101100101100 99100 98 98 97 96 96 97 97 96 95 96 94 97 94 96 96 96 96100100100100101102101101 98 99100 99100101 94 97 96 93 92 94 95 96 97 97 97 98 97 95 92 91 91 91 91 90 90 89 89 88 88 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120123119123132138138137134131132999999127127128999999999999999999104103101102103104104105104105107107106106106107108108108107108108108108109109109109108106104102103104104105102103101104103101 99100100101101101101102102102103104104105105105105104104103104105106107107108109108108109110110111111110110111111111110110110111111111112112112113113112111109108108110111112112112112112111111111111109106106106108108108108108107107106105104103103103106106105102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119120120119119119118118118117116116115116115115115115115114114113113112111110109109109110109109110110110109110110108111110109110110111111110111111111110108110109109108109110110110110111110110112111112111111110110110109109110109109108108109109109108107108107108108108110108107107108108107106106107106106105105105106105105104104104105105103103103105104103104103103101101102102100101101102102102101101102102102102101101100101100102102 98 98 96 97 94 95 95 94 93 93 95 97 96 96 95 96 96 97 99100 99 99103102101101102101 99 99 97 98 93 91 92 95 94 92 92 91 93 95 95 97 95 92 92 87 90 89 89 89 88 88 88 87 87 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130132133140142142143999999999999999999999999999999999999999103101102102102103104105106106105107108107107107108108108107107107108108107107107106104101101100100103103105106103103103102101100 99 99100 99100101101101100101102103103104104104103103102102103104105105106106106107108109109109109109109110110111111111111111111111112112112111111110108107107108109109110111111111112111110111110109107105106107108108108107107107106105104103101102106107106105105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119119119119119118118117116116115115114114114114113113112112111110109109109108109109109110110110110111111111110109110110109109110111111111110111111111109109109109109111110109110111111110110110110110110110109109109110109109108109109109109108109109108109109109108108110109107108108107107106107106106105104104105105105104106105105105104104105104105104104105105105104103103103104103102102102102101101102102102101102101101102101102100 99 98 97 97 95 95 94 95 94 95 93 94 94 95 95 95 96 95 98 99100101100103100 99102101100 99 98 98 96 94 90 92 92 92 92 91 92 90 91 90 90 85 85 86 87 86 88 87 87 87 87 86 86 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144148146146999999999999999999999999999999999999103102101101102102103104105107107107108108108108109109107105106106106106107107108107104103100100100 99103105105105101103103101 98 98 96 97 97 97 99 99 99 99 98 98 99100101100101101101101101102102102103104104105106106106108105106107107107108110111111111110111111111111110110109109107106107106108108109109110111110110110110110110109107105107108108108108108108107107105103102102103106108107106104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119119119119119118118116116116115114113113113112112111111112111110110109108108108109109110110110110110110110110110109108108109108111112111110110110111110110110110111111110111112111110111110111110112110109109109109109108107108109109109109109109108109109109108108108108108107108108107106107107106106105106105104105105105105105105105105104105105104106105105105105105105105105105104103103104103103103102101101100102100101101102100 99 99 98 98 97 97 96 96 95 96 95 94 93 95 95 95 95 97 98 99 99 99100101102102100 99 99100 99 99 95 94 92 92 90 91 91 91 92 91 87 85 87 82 81 86 86 85 86 86 86 86 86 85 85 85 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151148144143999999999999999999999999999999999999999102102101103104105105105106106106107107108108109108106104103103105106106107107104103101100100102100101105105105105103102100 98 97 94 95 96 97 99 99 99 97 97 96 97 98 98 98 98 99 99100100100100100102103103103103103104105105106106105106107109110110109108108109109108107108108107105107108107107107109108107108108108107108108109108107107107108108108107107107108108105103102103103105107107105105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119118118120121121999118119118119118117116115115114113113111111110110111110110110110110110109109109109109109109110110109109110109109111109108110108110111112112111111111111111110111111112111111111112112111111111110110110111110109109109108108108109109109109109108109109108108108109108107108108108106106105105106106106106106105105106104105104103105104103104104103104104105105105104105104105105105104103102102102104103102101100100101100100 99100100 99 99 98 98 97 97 96 96 96 95 95 94 91 93 95 94 97 95 97 98 98 98 98 98100 99101 95 98 98 98 99 92 91 92 91 91 91 91 92 92 87 84 84 84 85 86 85 86 86 85 84 84 85 85 85 84 84 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135135999999134145145144141138133999999999999999999999999999999999999100100101103104104104105105106105105106108108108107106105105104104106105104103103102102102102102103105103106107106105104102100 98 97 95 98 99100 97 98 97 96 96 96 95 95 94 95 96 96 97 99 97 99100100101101101101102104104105105105106106106108109110109108107107107106105105105105105106108108108108107107105104103103103103105107107106105106106105104105106107107106104101103103104104105107106106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116116118119119119120121120120118118118118117117116115115114113112112111110111110110109109110110110110109110110109109109109109108108108108109110109108110110111112113111112112111111111110112111111111111112111111110109109111110110110110109109108109109109108108108109108109108108108108108108108108108107107106106105105105105105106106106106105104105105105104103104105104104103103104104103103102103103103102101101101101100100101101 98 94 97101 99 99 99100 97 97 98 98 98 96 96 97 96 94 96 95 93 91 93 93 94 96 97 98 98 98 97 96 98 99 97 97 96 99 99 93 94 94 94 90 91 92 88 89 94 89 86 86 85 83 85 85 84 84 83 85 84 84 84 84 84 84 84 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133133133143142141138137132127999999999999999999999999999999999999999103 99101101103104104104105105104107107108108107107106107106105105105106103103103104104104103105107103108107107106103101101 99 99 97 98 99 99 98 98 98 96 98 97 95 97 96 97 97 97 98 98 99 99101101101101100100103103104105105106106106106107109109109108107106105105104105104103103103106107107108108108105103101101101101103104104102102104104103102103103104104104101101102103103104104106106107999999999999999999999999999999999999999999999999999999999999999999999117115119999112114118120121120120119118118120120119119118117117117116115114114113112112112110110110110109109110110110110109109109109109110109108108107108106107110109110109109110110110110110111111111111110111111111111111111108109109110111111111111111111110111109109109109109109108108108107107108109108108108108107107107107106105104105105105105106106106106105105105105105104104104105104104104105104105105102103103103101 96 98101999999999999999 98 97 92 92 96 97 96 95 97 96 98 98 98 98 96 96 97 96 97 93 91 92 93 93 94 94 94 96 97 98 97 97 97 98 97 96 96 97 99 97 95 97 94 94 89 91 94 94 98 94 89 86 84 86 85 84 84 85 85 83 81 82 83 83 82 84 85 83 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131130130130130129129999999999999999999999999999999999999999999101 99100101103103104104103103103106106108106107107107107107106107106105104104105105105107109109105108107106104103100 99100 98 98 98 99 99 98 98 98 99 99 98 97 97 97 97 97 97 98 99100100100100 99 99 99100102103104105105105106106106107108108108108106106106106106106104102102103105106107107108107105102101101101102105102100100100101102101101100 99100101101100100101102103104105106106107108999999999999999999999999999999999999999999999999999999999999999999999999117116116119120121122122122120118118120119118118118117116116116115114114114113113112111110110109110109110110110109109109110109109109108107108108108107108108109108109110110109110109110111111112113112111111110111111110109110111110111111112110111112111111109109109108108109108109109108108108109108109108108108106106106105104104103105105105106106105106106106105105104104105105106105105104106106106105104103103102100 96 97 95 93999999999999999 96 96 91 94 95 97 96 95 97 95 97 99 98 97 98 97 95 94 95 91 93 95 95 95 95 95 93 96 97 97 96 96 97 96 97 98 97 98 97 96 95 97 96 95 93 93 95 93 90 89 87 85 85 85 85 82 83 83 84 82 83 83 83 84 84 84 83 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130129128128127127999999999999999999999999999999999999999999999103 99 99 99 98101102103101100101104105106107107106106106106107108107106105104101104107108110109106108108106105102101101100100100100101102100 98 97 99 98 98 98 98 98 97 97 98 99100100100 99 99 99 99100101102104106106107106105105106107107108108107106106106106106106104103102103104105106106106105105103102100101103102101101 99 99 98 99100101 99 98 99 99 99 99100101101102103104105105107110999999999999999999999999999999999999999999999999999999999999999999999117117119119120120120121120120120120118117116116115115117117115115115114115114113113112110109110110110109110110109109109109109109109108108108107107106106107108109109108109110110109110110111111113111111112111111109110109110110110111111111112111111111110110108109109109109109108109108108108108108108108107107106105104103103103104105104104104104104105105105106106105104104104104106106106106106106106106106105105105103100 99 96 94 95 94 94 93 92 93 94 96 95 95 95 94 98 98 95 93 95 96 96 96 95 94 95 96 95 93 94 96 96 95 96 96 99 99 99 97 97 97 96 97 98 99 97 97 96 96 96 97 95 93 94 93 93 90 89 87 88 88 86 86 85 83 82 83 84 83 83 83 84 82 84 84 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130129128128127127999999999999999999999999999999999999999999999100 99 97 97 96 96 98100 99 99 98102103105105106105104104106107109111108109109106106106109107109109109108108108106103103103101102102102104100 99 98 99 97 98 98 98 99 99101102102102101102101100101101102103103106108107108107107107107106106107107107106106106106106106104103103104105105106105105105104102101100100100101102 99 98 98 99100 99101101100100 98 98 99 99100101102104105105105106108999999999999999999999999999999999999999999999999999999999999999999999118118119120119118119119119118118117117116115116116115116115114116115115114113113112110110110109109109109109109108109108109109109108107107107107107107106107108108108107108109109109109108109109109109109111110110110109108110110110111111111111111111111110110109109109109109109109109108108108108107107107107106105105104104103103103104104104104103103104105105107106105105105104105106107106107106105105106106105105104104101100 98 98 98 96 95 94 95 95 95 95 94 93 94 96 96 97 94 93 94 96 98 97 95 96 95 94 93 94 96 96 97 96 95 97 98 98 97 94 94 96 97 98 97 97 97 99 96 97 95 96 95 94 94 92 91 92 90 88 87 88 88 86 86 85 83 81 83 81 82 80 82 82 84 85 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131129129128128127999999999999999999999999999999999999999999999 97 99 96 96 95 93 94 95 97 97 98100102103102104105106107109110111112111111111109109109111108109108108107107107106104104105104103102103101100 99 99 99 99101100101101102103102103103103102102102103103104103103105105107108109108107107106106107106106106106107107107106105104104104105105105105105105103101 98 99100101102102101 99 98 99100101101101100100 99100100101100101102104105106107107107111999999999999999999999999999999999999999999999999999999999999999999118119119120119118118118117117117117117116115116115115115115115115114114113113113111110110109108108109109109108108108108109109108108107106107106107107107106107108109109108108108110109108109109108108108108108109109109110110110110111111110111111109109109110109109108108109108109109108108108108108107107107106106105104104104102103104103103104104103104105105107106105105105105106106108108107106105105105105104103103102102102101101100100 98 96 94 94 95 94 93 92 92 93 94 96 97 94 95 95 96 97 97 95 95 94 93 93 94 95 94 94 94 92 94 95 97 97 97 96 97 97 97 97 98 99 97 96 95 96 96 95 95 93 91 89 90 90 90 87 87 83 84 82 82 82 82 79 80 81 83 83 83 85 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133132130129127128127999999999999999999999999999999999999999999 96 93 95 93 93 93 92 92 93 94 95 97101103103103104103105106109111112112112112110110110110111108106107107106106106104104104105105104103101101101101100100102102103102103103104104104103104102102104104105103104104105106107108108109108107106107107107107107107107107106106105104104104104104104104104104103103 99 98 96 98100101100 99 97 98 99100100101101100 99 99100101101101101103105106108108108110108999999999999999999999999999999999999999999999999999999999999999119118119118118117118118117117117117117116116116116116115115115114114113113113112111110109109109108109109110109108108109109110109108106106105105107107107107106107108109109109109110108108107108108108107109108109110110110110110110111111111111110109109109109110108109109109108109109109109108108107107107106105106105105104104103103103104103103104104104105106106106106105106106106107107107107106105104104104104103102102102102102102102102101 99 96 94 94 95 95999 94 91 92 93 94 94 95 93 94 95 93 94 92 91 91 90 91 91 90 86 82 84 83 85 89 94 96 96 97 96 96 97 98 98 97 95 95 96 97 97 98 94 92 91 90 91 89 89 87 86 85 84 82 82 81 79 81 82 84 83 85 84 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128130131130130999999999999999999999999999999999999999999 94 90 92 93 93 92 92 91 91 91 91 91 95 99102103104103105106107109110111113113114111110110110110109107105107106107106104104104105105105103103102102101102101104102104103103105105104104104103104104106105105104105106106107108108109109109107106106107107107107107107106106106106105104103103103103103103103104104101 98 97 97 98 99 99 99 98 98 98100102103102101 99 99100101101101101102103106107108110110111999999999999999999999999999999999999999999999999999999999999999114117118118118118119117117117116117116116115116115116114114114113113113112111111109108108109109110109110110108108109109109109109108107104104105106106106107106107108105107109109109109110110110109110109108108109110110110110110110110110111111110109109109109110109109109108108109109109109108108108107107105106106105105104103104102102101101102103104104105105106106105105106106107107107107107106105103103103103102102102101101102102102102101 99 97 94 93 92 92 92 91 91 92 92 93 93 93 93 94 95 92 91 91 91 88 88 88 88 85 83 80 82 80 82 84 88 93 93 94 95 96 96 97 98 95 95 95 96 97 96 95 93 92 92 92 92 91 91 88 86 84 82 82 82 83 82 83 85 86 83 81 82 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133133133132999999999999999999999999999999999999999999 90 90 91 92 90 91 91 90 89 90 89 89 93 97102104104105106107109110110111112113112111110110111111110109107108107107106105106105106106104104105105104103103103104104105105105105105104105103105104105106108108106107107107107108108108109108107107106106106107107107107107107107106105104104103102102103103103105103101 99 97 98 99 99101101 99 98 99100102102101 99 99100101101100101101102103105107109111111110106999999999999999999999999999999999999999999999999999999999999116115115116116116116117116116116116118116116115115115113113113111111110111110109108108109109109110109110109108108108108109109108107106105105105105107106106107108107107108108109108108109111110110110109109109109109109110110110110110110110110110110109109109109108108108108108109108108108109108108107106106106105105105104102103102101100100101103103104105105105105105105106107107107108107107106105103102102102101101101101 99100101101100101 99 97 97 96 94 93 92 94 93 93 93 93 95 94 94 95 92 91 90 88 87 88 89 86 85 84 83 82 82 83 83 83 84 86 90 92 92 94 96 96 96 97 94 95 96 95 95 96 94 94 93 92 91 89 90 85 84 82 82 81 80 82 83 86 86 85 81 79 81 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135133999999999999999999999999999999999999999999 92 93 92 90 90 90 90 89 88 87 87 90 94100102102105107108109110112111112112114112112111112111110112111110109107107105105106107108109108106107107106104105105105105106106107106106104105105107108107107107107108107107107107108108108109109109107107107107108109110110110110110108108107105104104103104105105104102102102100100101100101101100 99100100102103101101102101101102101102102103104105106108111112108106999999999999999999999999999999999999999999999999999999112113113112111111113112111113115115114115116116114112113113112112111110110109108108108108109109109108109109108108107108108107108106105105107106106106106106107106106105106106105106106108109108109111111109109109109109110109110110110110110110110110110110109109108109109110108108108108109108108106108107107107107106105106105104102102101102101102102103104105105106105105105106106106106108107107106105104103101101101101101101101100101101101101101101101101100 99 98 96 95 94 95 95 95 94 93 93 91 91 89 88 87 88 87 86 84 84 84 82 83 84 84 85 85 84 84 87 87 86 90 94 94 96 95 93 93 90 93 94 94 93 92 92 90 90 90 88 86 83 82 81 80 80 80 80 81 80 78 78 77 80 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135136137999999999999999999999999999999999999999999999 94 96 92 92 90 89 89 88 85 86 87 91 97102105104106107109110112112113114116114115113112113115112113112112111110108107107106107107108107108109109108106107106106106107106108106107106106107107108109108107107108106105106105106107107109109110109108108109110110111112111109109108108108108106105104105106105105103102102102103102102101102101100101102103104103102102101101102101102102103104107107109111112108106999999999999999999999999999999999999999999999999999999113112112111110109110110110110111112113114114116113112114112111111109109108109109109109108109109108108108108107106106106108107107106105105106104106104104104105105106107107106107107107107108108109110110109109108109109110109110110110110110110110109109109109108108108109110109108108108108108109109108107107107107107106106105104103102101103103102103103104105105106106105106106106107107107107106106105105103101100100101101101100100101101102102101100101101 99 99 98 98 97 95 96 94 92 92 90 91 91 92 91 90 89 89 87 85 85 86 85 86 85 85 85 84 85 85 84 81 79 82 84 84 90 92 89 86 84 83 91 85 85 87 89 90 92 91 89 84 84 84 83 83 83 82 81 80 77 77 77 77 78 79 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139137134999999999999999999999999999999999999999999 96 99 96 95 93 90 89 87 84 85 87 89 94 98105104107108110112112113114116114115116116114115114115113112112110108107107108108108109109109109109109109108108108108109105106107107107108108109109109107108107106108106104104103103105106108109110109109109110111112112111110107106106107107108108106105105106105105104104103104105105105102102101101102102103103102100100101102102102101102102104105105107109111108106999999999999999999999999999999999999999999999999999112113113112112112111111111109108110111112113114114113112112111111110108109109109108109109108108107108107107106106106107106106105105105105105105105104104104104105105105105105104105105106106106107108110110109109109108109109109108109109110110109110109108108110110108108108109107108109108108109109109108107107107107107106105105103102102102103103104105105105105106106105105106107107108108108107107105105104102101100100100100100101102101102102102102101101 99 98 97 97 97 97 96 95 95 94 94 91 91 90 90 91 91 91 90 89 88 87 87 88 87 85 83 83 84 84 86 82 81 78 80 82 83 84 85 82 82 90999 90 84 84 81 86 88 86 82 88 88 87 84 83 83 82 83 80 78 75 84999999 84 79 82 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141142141139137999999999999999999999999999999999999999999999100 98 96 94 92 87 85 85 86 88 90 95100102104106106108111114114116116115116117116114115115115114112111110109107108108109109110111112110110110109108109109109109108109109108109109109109109108107107108107107106106103102102104105107109109110110110111112112111108106104104104105106107106107106105105105105105105105106104103103102101100100102103104102103102100101101102102101102102104104104106107109107105999999999999999999999999999999999999999999999999109110112112112113112111111110111112111111112113113113113113111111110108107107107106106106108107108108108108108106106106106106107105105105105104105105105104104104104104104105104105105106107106105106107107109109108108109108109110110109110110110110110109110109108108107107108108107108108108108108108108109107107107107107105105105104102103103105105105106106104104105105106106107108108108108108107106106104103102101100101101102101102102102102102102102101 99 98 97 97 96 96 97 97 97 96 94 94 92 91 91 89 92 91 90 89 89 89 89 87 86 86 85 84 85 83 84 82 83 86 81 78 80 82 82 85 84 83 84 85 84 84 83 82 84 84 83 81 80 82 83 85 86 86 84 83 82 81 80 80 84 83 84 86 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147145145144141138137999999999999999999999999999999999999999999999 98 96 94 91 86 85 84 86 88 90 92 98101103105106108112115116117116117116117116115115115114113112112110109107110110110111112113113112110109108107108109108109110111110110110110110110109109108109108107108107105104103102103103105108109110111112113112111108105103102101102103104104105105105106105104104105105105105103102101101100100100100104104104104103102102102102102102101102103103104105106108105105999999999999999999999999999999999999999999999107107110110112113112111111112113111113114112112114113113113112111109107107107106106105105106106106107107107107107105106106106105105105106106106106106104105104104104104104104105105105105106106106106106106107108108107108109108110109110109109109109109108108108109110108108107108108107108107107108108108108108107107107107107106106105105105105106106106106106106106105105106107106107107107108108108107107106104103103102102102102102102102102102102103102101101 99 98 98 98 98 97 97 97 97 96 93 92 92 92 91 91 91 91 90 89 89 87 87 85 86 86 83 83 84 83 83 83 84 83 83 86 83 82 84 86 85 83 85 87 87 87 86 86 86 84 81 81 80 81 83 86 86 86 85 83 84 85 86 87 87 86 86 87 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147148148149148147145144142999999999999999999999999999999999999999999101 97 93 90 88 86 84 85 88 94 95 96 97100102104108110116119119120117117117117116116116116114113112111111109109110112113113114115115114110110108109107107109110111111111111111112111110110110109110109107108107107106105103103103106108110111111112112110108105102101100100100101102102102103104106104104104105104105104101100100101100101100100102102104103104104103102101101101101101101101103104105106106104999999999999999999999999999999999999999999107107109109110112109109111112113113113113113112113113113113112111108109108108107107107106105106107107107108107106105105105105106105107105106106107106106105105105105105105104104105106105106105106106108107107107108106107108107107109109109109108108108108107107108108108107107107107107107107108108107108108108108107107107107107107105106105106106106106105106106106106106106107107107107108107108109108108107106105104103103103103104103103103103103103103103102101100 99 99 99 98 98 96 95 96 97 95 93 93 93 92 93 92 91 90 89 87 86 86 85 85 84 82 83 82 82 82 84 86 88 89 91 89 84 88 92 87 87 89 89 89 90 93 93 91 87 86 82 81 82 82 90 88 87 87 85 85 87 89 89 89 88 88 88 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150151150150149149148146144145999999999999999999999999999999999999999102 97 92 88 86 84 86 89 96102104103102103104104107111115119119118118118118118117117117116115114114113112111111112113115115115116117114113112110109109108111112112113112113113112111110109110109111109109110109108107105105105106109111111112112110109108107104102101101101101103103103102102103105104105104105104105104101100100100100100101100100101103103104103102101100100101101101101101102103104105107106999999999999999999999999999999999999110108108107108107109111110110112113113113112112113113113112112112111111107107108107106106107106107106107107107107106105106106106105107107106106105106107106106105107103104105104104104105105106107107108108107107108107107107106106106105106107108106107107108108107108108108107107107106106106107107108107108108108109108107107107107107106107106106106106106106107106107107107108107107107107108108108108109108107107106105104103104104103103104104103103103104104103103102101 99 98 98 98 98 97 97 97 97 96 95 95 94 93 93 93 91 90 89 87 86 85 84 82 83 84 84 83 84 86 89 91 93 93 91 92 91 91 92 92 92 93 93 89 90 96 96 95 94 92 91 91 90 91 93 93 93 96 84 83 85 87 88 89 88 89 89 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157152153152153151151150149148148146146999999999999999999999999999999999999999999 85 85 86 91 92 99105105105105106106106108109112116118119118118118119118119118117116117116115114113113114115116116116116116116115114111109110112112113113113114114113111112111110110110111111110112111110109109109110111112112112112112109107106106105103102102103103104105105104102102103103104104104106106103101100 99 98 98 98 98 99100101102102103101 99 98 99100100100100100101100100103104103103999999999999999999999999999999111111110108110108107107108109109111112112113112112112112112112112111110110110107107107107107106105106108106107104107107107104105105105105105106105106105106106105105107106105104104105104105106107107106107107107107106107106106107107107106105104107106105106106106106107107107108107107106106107106106106107107108107107108108108109110109108107107107107106107106107107108106107108107107108108109108108108108108108107106106105104103103104104104104104103103104105105105104102102101100 98 97 97 98 97 98 98 97 96 96 95 94 93 92 91 91 90 88 88 88 88 87 87 85 84 86 88 91 92 94 94 94 93 93 95 95 95 96 95 95 96 98 98 99 99 98 98 97 97 98 97 97 97 95 95 95 96 90 84 85 88 88 87 89 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153153153152153151152151151150150148147999999999999999999999999999999999999999 96 87 89 90 93 93 96 99102104106109108109109110113116116117118118119121119121120120117118118117117115115115115116116116116117117117116114112112113114114114114115114113112113112111112112112112112111112111111111111111112112112112112112110108107107106105103104105105105106106105104104103103103105104104104103101100101100100100 98 98100102102102100 99 97 98 99 99101103103101102100 99 99 99101101999999999999999999999999999110111112111110108106106107108108108111112112112111111111111111111110109109109107107107107107105104104104106106105107107106106104105104105105105106106107106106105104105105105104104105105105106106106107107107106106106106106105106106105106106106105107107107107105106106106107107108107107106106107106105106106106107106107106107108109109107106107107107107106106107108108108108107108108107109108109108109109108107107108107106106105104104104103103104104104104105105106105104103102103103101100 99 99 98 98 98 98 97 97 96 95 94 92 93 92 91 91 92 91 90 90 90 90 91 91 93 95 96 97 96 96 96 95 95 97 96 98 97 97 98 97 96 99101100101100100101101100100 98 98 98 96 96100 97 92 91 89 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159154154152149148148149149150150151150149146145999999999999999999999999999999999999999 89 91 90 93 94 95 96 99104106108110111111112115115115117118118120121121122122121120120120119118116116116116117118117117117117118118117115114114114114115115115114113113114113114113113112112112111111111111111111111111112113113113113113113112110109107106105106106107108108107106106105104104103104104104104102100101101101101100 98 99100100100 99 98 98 99100 98100101101102102100 99 99 98 98 99101999999999999999999999109110110110108108107105105106107108111111112112112110109109110110109109109109107107106105105104104103103103104104105107107106104104104104105106106106106106103103104103103103103105105105104105106105107106106106105105105105106106105105104106106107105107106106108106106106106108107108107107107107107106105105107106105106106106108109109109109107107106107108106106108108108109108108109109109109109107107109109108108108107108107106106105104104103104104104104105105105106107106104103103104103103102101101100100 99 98 98 98 97 98 97 96 96 97 95 94 94 93 93 93 94 94 94 96 96 97 98 98 97 97 97 96 97 97 99 98 99 98100100100 99101101101100101100101102101 99100100100 99 98 96 93 92 94 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160154152149147146147148148149149149149149148146999999999999999999999999999999999999999999 89 90 92 92 92 94 98102103107111112113113115116116116116117119120122123123123121123123120120118117117117118118118118116116117117118118118117116116116116116114114114115114114114114113113112111110110110111111109111112113113114114114115115114113112110108108108109109109109107106105105104104104103103103102101101102101101100 98 98 97 99100100100100 99 98 97 98 98 99 99100 99 99 98 97 98 99 99100999999999999110108109110107106110107106104104107106108109110111111111110110110109109108107106106106106106104104104103102101101103105106107106105104104104104105105106105106105103102102102102101102102105105105105105106105105105106106105106105105105105105105104105106105108108108109106106106107108107107107106106106106106105106106105106106106107107109108108109107106106107107107106108107108109108107109109108110108108108108108108108108108108108107106106106105104104103104105105105104105105104104103102102101103104102102101101100 99 99 98 99100 98 99100100 98 97 96 96 96 96 94 94 96 97 97 97 99 99 99100 98 98 97 98101101102103100100100 99 98100100100100100100101100101100 99 99 99 98 96 96 95 92 92 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159153151150150149149149149149148147149150149146144999999999999999999999999999999999999999 89 90 91 92 92 97101101103104108110112112115117117115116116117120121124124124124124124122120119119118118119120119118116116116116118118120119118118118118117115115115116116116116116116115115112111110110110111111112112112113114114115115115115115114112112112112110110110110108107105104103103104103103103103102101101101101 99 98 98 98100101100100100100 99 98 97 98 99 98 98 99 99 98 98 99 99 98 98101999109110110109108107107106107108105104103104107108108111112110110110109108107106106105106106106106105104104104104102102101101103105105105104104104103105104104105105105104103101102102101101101102105103105104104104104105105105105105106106105105105105105104105105108108107107108108106107108107106107106106106106107106107107105105106106105108108108107108108108107108108108108108108108107108108108108109109109108108108108108108108108109108107107106105106105104104104105105105105105105103103103103104104104104105105104104102102102103101102102101102102102 99100100 99 99 98 98 98 97 98 99 99 99100100100 99102 98 99 98103103103103100101 99 99 99 99 97 98101100100101101100 98 96 95 94 92 91 90 89 89 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153152151150151150150149149149148147149151150148999999999999999999999999999999999999999999100 98 93 92 92 98101103104103103104109112115117116115117116116118120122122122123123121122121120120120119119120120119118118118118117117120121121121120120119118117117117117117117118116115113112111110110110110111112112112112113114114114114113111110109109110110110110109109107105103101100100101102103103103102101101102100 98 98 98 98 99 99 99100100101102 98 96 97 99 98 98 97 97 95 96 98 97 96 98102105105107108107105104103103103104104103103104106107108111112110110109108107106106105105106106106105104103104104103102103102102102105105105106103105104103104103102104104104102102101101101102101104104102104104105103104105104104104104104105105105105104105105104104105106106107107108105106107106106108106107106108107106107107107106107106107107106108109109108109107107107107107108109108107108108108108108107108108108107107108108108108108107107107106106106106105105105105105104104104105106105105104105106106105108110108106104106104103104105105104103104104104103103102102101102101101100100101101102102101101103103 99 99100102102101100100100 98 97100101102101101101101100 98 97 95 92 91 90 88 88 88 88 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152152152150150151151150150149149148148151153152999999999999999999999999999999999999999999999100102 96 97 96 99104105105104102101105110114115114115115116118118121120121120121121120122122120121120120120120119119119118118118117117119121122123122122122120120119118118118118116115114113111112112111110110111111111112112112112111109106104104104104105106108109109107105103101100 99 98 97 97 99100101102102102102102101101100 99 98 97 96 97 99100102101 99 99999 98 96 97 96 96 96 97 98100 96 98101102104104103103103102102103102102102103104105105106107109111110108107106106105105105105105105104106103103103103103105103103104104104104105105103104103103104103103101101101103102102101102103103104104103104105105102104104104104104104105105104105105105105104105104104106106107105105108108109109109107106107107107107107108107106106106106107107106107108108109107107106107107107107107108108107108108108107107108108105105108107108107108107108107107107107106106106105105105105104104104104105106106105106106107106108107107106106105106106106106104105106106105105104102102102102103102101101101101102102102102103101100102 98 99102102102100100100 99101100101102103102101100 99 98 97 93 90 90 89 89 89 89 86 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151150148150150150150150149148147148153156157999999999999999999999999999999999999999999999999 97 98 94 97102105105107107105103104108112114114116115114114119120120120120121120120121121123122122121120119119118117118118119118118120122123124123124124123122120119119119118117116114113112111113112111110110112111111112111109107106104103103103104105106107108107104102101100 99 98 97 96 96 96 97 99101102102103106108107105103 99 97 97 97 99100 99 99 98 97 95 94 96 94 97 98 98999999999100 99100101102102102102101100102101101100100102103104104104106108109109107105104105105105105104104104104104103104103102102103104105105105105103104103103102103102102102103102103103103102102103103103103104104105105105104104105105105105105105105105104104104104105105105104106107107107107108108108109108108107107107107107107107107107107106106106106105106107106107108108106107107107107107107107107107107107107107107107106107107107107106106108108108107106107107107106106106105104105104104104104105105106105106107108108109109109108107106108108107107106106106106106106105104104104104103103103103102102102103102102103102102101102103102102101101101102102103100100 99 98 98102101 99 91 95 90 90 90 89 89 89 89 89 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151149148149149149149149147145145149153156157999999999999999999999999999999999999999999999999 91 94 95 95101105106108108107105106107109112114115116113116117118119118121121121122124124124124123122120119118117118118119121120122123123124124125125125124123122121120120118116115114113113113113112111110111111110110110108107107109109109107106105105106106106102102102102101100 98 96 95 95 96 96 97 98101102103106107107105103102100 99 97 97 95 95 96 95 97 95 95 95 94999999101104999108105104104105103102101101100 99100 99 98 97 97 98 99100101101102105107106105105104104105105105104103103104104102101103103102102101103104104104103103102103102102102101102102102102103102102103103103103104104105106106107106105105106106106106106106106105105105105105105105105107107106107108108108105106109106107108107108106107106107106106106106105105107106106105105105107107107107107107107107106106106107107107108108108108107106107107107106107108108107107106107107107106105104105105104105105106106106106107106108108110109109109109108108108109107106106106107107107106105105104105104104105105104103103102102103103103103103102103104104103104102103102102102101102100100 99 98102 99 95 94 92 92 91 90 90 90 89 88 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152151151149148149149149149147145145146150153155148999999999999999999999999999999999999999999999999 94 90 95 96 99103105106107106104105106108110112115116115114115117118118120122123124124125125124123122119119117117119120121122123123123124124124124124123123122122121120119118117116115114114113112111111111111111111110109108108108112113113112110107106106105103102102102102101100 98 95 94 95 96 97 97 96 97 99100101102102101102101 98 96 95 94 93 95 96 95 96 95 95 97999999999102106107107105104103105103100 99 99 99100101100 98 98 97 95 96 97 99100101101104105105105104104104105104103105106104104103102101100102102102102104104104103101101102102102101101101101101102103102102103103104105104105105103106106106104105105105105106106106106105105105105105104105107107108108108108108109106106107107107107108108108108106106106106106107105106106106106105106107108107107107107108107107107106106106107107107108107108107106106107107106107108108108107107108108108107106105105106106106106107107107108108109110108109110110110108109108109108108107106108107108107107107106105104104105105105105104104104103103103103104104104104103105104105104102102102102102100100100100 98 98101 95 93 93 91 92 91 90 89 88 88 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153151150149149149148146145144144147151153155156999999999999999999999999999999999999999999999999100 97 95 95 98101103104104103103104104107109109111114113113113115115117119122124125125125124124122121120119118119119120122123124124124124123123123123123123122121121122120120120119117115115114112112111112113112111111109108107108110112112112112111108105104102101100100 99 99 98 96 94 94 94 94 95 96 96 94 95 95 96 97 98 98 99 98 97 92 93 91 93 94 95 92 94 98 95 97999999108108107106107104104102104101 99 98 97 98 99101102100 99 99 98 96 96 98 98100102103105105104104105105105104104104104104102102102100101101102102103104104105103100100101102101101101101102102102102102102103104105105105105104105104105106105105105105106106106107106105105104105104105105107107107107107107107107107106107107107107110110110107108107108107108108107107106107105106106106107107107107107107106107107107106107107106106106107106107106106106106106106107108108109108108108109108107107106107108107108108107108109109109110110109110109109108109107108107108108106107107108108107107106106106105106106106106105105105104104104104105104104104104105105106106106105102102103102101100 99 99 97 97 97 95 96 97 94 91 92 90 89 88 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153152151149148147145143143144146149151153155156146999999999999999999999999999999999999999999999999 99 93 94 97 99 99100100100101102104106108109110111112112114115114116119121124125125124124123122121121120120119119121123123124123123123122122123122123122122122121121121120120120118117116115114113112112113112111111110108107107108110110110111111109108106104102100 99 98 98 97 94 94 94 93 92 93 95 95 95 93 92 93 92 93 95 96 96 95 92 92 91 90 88 90 89 93 97999999999999108108107106107106104103102100 99 97 98 98 98100104104103100 99100 97 98100 99100103106106105105104103103104104103104103101101101100101100101101101102103104101100102101101102101101101102102102101102102103104105104104104105103103106106105104105105106106106106106106105106105105104104105104106107107108109109106106107107107109109109108109108108108107108107107108106107107106106106108106108108108107107107108108107107107106106106105105107107106106107107106107108109109109110110109110109108108109108107108109109110109109110111110110109108109108108107108107108108107108109109109108108108108108106107108106106106105105104104104106106105105103103104107105107108106105102102103102102100100 99100 98 95 97100100 95 92 90 88 87 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152152151150147145143142144146148150151153155157145999999999999999999999999999999999999999999999999 95 98 95 96 96 97 98 97 95 96 99 99102105107109109110110114115114116118120123124125124123123122121119120120119119121123123124124124122122122122122122122121120120121121121121120119118116115115114113114113112111110110110109108108108109109109109109108108107105103101 99 98 95 93 94 93 92 91 90 91 92 93 92 91 91 90 91 92 93 93 93 91 89 88 85 86999999999999999999999109108107108110109108106103102100100 99 99 99100103107107104101 98 99 97 98100100101103105106105104104103103103103102103103 99100100101101101100100100101103103103103102103104104103101101101101102100101102103103104104104104104104103107104106106105106106106106106106106105105105106105104106104106107107108108109106107106107108108109109109108108108107108108108108108107107107107106107107107108108108108107107107108108108108106106105106105107107107106107107107107108109109109109109109109107109108109109109108109109109109109109109110110109109108108107107108107108106109108109109109107108109108107108108108108106106106106106105104106106107107106103103105105105106107105104105105101102102100100100 97 96 97101104103 94 93 91 89 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153153152150147145143142144146148149150151153155145999999999999999999999999999999999999999999999999999103 97 95 94 95 98 96 94 92 93 95 99105106107109109111113114115117119121123124124124123123123121120120120120120122123124124124124124124124123122122121121120121120121121121120119117115115114114114115114114113111110109110109109109109109110109109108108108107107105102 98 95 94 93 92 91 92 91 89 89 89 91 91 90 89 90 91 91 90 91 91 88 86 86 88 95999999999111112111110109109110110110110110109107106104102100100101103104105103103100 98 97 97 99100100103104105105104104104104104103102102101101100100101101101100 99 99100101102102102102103104104104101101102101101101100101102103103103103103103104104108105106107105106106106106106105105105105105106106108105105106106108108109109109107107107107107109109109108108108107107108108108108107107107107108108109108108108108108108108108108108108108108106106107106108107107107107107108108109108109109110108108108108107109108108108109109108109110109109109108109108108108108107106107108108108108108109109109109109108109109108107108108108107107106106106106105107106106107107107107107106105104103104105105104102104103102102 98 98 96 98100105105103 95 93 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152152152148146144142142143145147149151153155153999999999999999999999999999999999999999999999999999103 94 95 94 95 94 93 91 91 91 94 98102105106109109112111113115117118121121122123123122122122122120120120121121121122122123124125125124124124123123123122122122122122122122121119118117116115115115116116116116115113112112112112111111111111110110109108108107107106104101 97 95 93 93 92 92 91 88 87 86 88 88 89 89 89 89 90 90 90 89 87 87 87 91104999110111112111112110110109109110110110110111110109108106104103102102105103104104103100 99 98100101101103103104104104103103103103103101102102102102101102101100101100 98102100101101102101104104103103101100101101101100100100101101102102103103103104108109106104105105105106106106106106106106105106106106108105106107106107109109109109109108107106107107109109107107107107107107107108107107109109109109108109108108108108107109109109109108108108107106106106107106108108108107108109108109109109108108108108107107108107107108108109110109110109108109109108109109109108108107107107107107108108108108109110109109109109108107107108108108108108107106106106106105107107107107108108107106105105105106105106105104104104105106 98104100 97 98103107106 98 97100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153153153152151148146143142144146147149152154154146999999999999999999999999999999999999999999999999999999 93 97 95 95 92 90 88 88 86 89 88 93104108107112113112113116117117117118119122124124123123122120119119119119119120121123124125126126126125125124123123122123123124123121121120119118117117117118118119118118118117116115115115114113112112112111110108108108107107106104100 95 92 91 92 93 93 90 88 86 88 90 91 90 89 88 89 89 89 87 86 86 82 87102102108112112111111110110108108110111111111111110109108107105105105105103101102103104103 99101101101103103104104103103103103103105105103102102102102101101100101101103101100 99101102103101103101102100102102102102101101102102102103101102103103103104108106104104105105105106106106106108106106108105106107108109107109107107109109107107108108107107108108108109108108108108108108108108108107108108109109109110110109109109109110109109109109109108108107107107107106108108107107107109109109109108108107108106108108107108108108111111109111110107108108109109110110109109110109108109109108108107108108108109108109108108109109108107108107107107107107107106106106105108107108107107107107107107107108108106108107105104105107107103102103102101102104104103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153153154154153151149147145145147148148150151153155154999999999999999999999999999999999999999999999999999999999 99 97 95 94 92 89 88 89 91 89 94102103110111110109113115115115114117116120122123123122121120119119119119121122124125126126126126124123122122120122122123125124122121121120121121120120120119119119118118118118118117118118118119114113111109109108110109107107105103100 96 92 91 91 93 92 91 89 87 86 88 90 90 88 84 85 87 87 87 87 85 83 80 89102103107109109110110110109108109109111110110108106106105103104100101 99 96 96 97100103102102101102102103103103103103104105108108106105105104103103102102102102103103101100100100101102100100100 98 98101 99101101101101101101102103104104104105104107108105104104105105106106106106105107108107107105105107108107107110109107107110108109109109108108108108108108108109109109108108108108108109108108109110108109109109109109109110111110110111109109108108108108108107109108109108108109108108109109109108108106107107108108108109109111111109111109109109108109110110109110110109109109109109111109108108110110108110109109109109109107107107107108108108107108107108106106108108108108109109110108110110108109109108106104106106107108103106104103100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154155154153151150148147147148145150152154154155155999999999999999999999999999999999999999999999999999999999101 98 96 90 91 94 94 93 95 94 96101103105107107107109113113113115117117119122123122121119119119120121124126126125126127126126124122121120119120120120122123122122122122122122122121121120119118117116116116116116116117117118118118114112108108108109110110107104101 99 96 94 92 92 94 95 96 94 90 88 88 87 86 84 80999 79 80 80 81 81 83 81 89101104103104107107107108107106106108108108108105104103101 98 97 96 97 98 96 96 96 98 99102101100101103103103102102103106107107108105101105104104104103103102102102102102101102101101101101102102 99 99 99100 97 98101101101102102103103104105106105105108104104104104105105105106106107107107106106107107107108108108110109109108108109111109110110109108108109108108109110109110109109108108108109109109109109109108109109110110111111111111112110110110109108109109108110109109108108108108107108108107108109109109109109107111111111111110109109110111111109110110110109109108109109108108110109110109109109110110111110111110110109108108106107108107107107107107107108107107106106109109109109108108109109109109108105105104105107108107107107105101 99 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154155154153152151150149148149148147152155156156156999999999999999999999999999999999999999999999999999999999999104100 94 97 99 98 98 98102101 99 99102102104106111113114112115116119121122122121120122123125125125127129127127127127126124124122122121120121122121122123122124123123122122122122121119116114113112111110111111113114115116117116114112111110111112111110109108106105102100 98 98100102103 99 97 94 92 90 88 86 79 77 75 74 74 74 73 79 87 95102105101102104105106106104105103106107107107104101 99 98 98 97 95 94 94 94 94 96 97 99 99100100101102102102103104104105106107106105105105105105104104104104103102102100102101101101102102102102101101100100100101102102102103103103103103105107108105109104105105105106106106106106107107107107107107108108109109109111109108108109109109109109110109112111110110109109108109109109109109109109109110109108108108108109109110110111111111111112110111111110109109109109110110109109109109109109110108108108108110108108108108111108108108108109109108108111110109110109109109109108109108109109110110109110110109109109110110110109109108108107107106106107106106106107107107107106109109108108108107107108108109108107105115107107107108107109109108106103100 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155155154153152152150149149148149150153156158148999999999999999999999999999999999999999999999999999999999999100 99100103101102106105108105101 99 97 98 99106110114111114115117118120121121122123124124127129129131129129129127128125125123121120120120117119121121121122122121121121120121121117115111111109106105105105106106108111113115116114112112113114112115112111110109108107106106106106106104101 95 89 88 86 87 86 82 76 72 71 75999 70 77 89 99 99101101100102104105104104106106107107107104103101100 98 97 95 93 92 91 91 93 94 96 97 99100 97 99100102102103104105104106106107106105105106105104104105104103102102100102101101101102102102102101101101101101101102103103103104104104104106107105105107107106106106107107107107105107106107107108107107108107109110111109109109109110110110110110112112111111110112110110110110110110109109109109110110110109109110109110110111111112112112111111111111110109109109109110110110109109109109109109108109111109110107108108108108109108108108108109109109109109109109109109108108108108108109110110110110110109110110109109109108109109108107107108107109108106105105105106106106107108113112108108109108109110110111114114113113108106107107109110111103104101100 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153155154153152151150150151151151151151155159159999999999999999999999999999999999999999999999999999999999999999103106110114106103105106107103104103100 98 99103106111113114114116118118119121123124125128131134134133132130129129130127123122122120120121121121120121121119118121121121122122118114112110108105104102100100103102104108110112116114115113114112113114114113112111110109107106106106105102 98 90 85 81 79 80 81 78 71 69 73999 71 72 77 86 97 99100 99 99101104104106108108108107107105104102101100 97 96 96 94 91 90 90 91 92 95 95 97 99 99 99101102103103104104105106106107105105104104105105105104104104103102102102102102103102102101101101101101101101102102102104104104104104105111106105106110108108107108107107107106108108108108108109108108109107107110110108109109110109110110110110111112113111112111111111111110111110110108109109110110111110112111111109110110111112113113112111111110110109109109109110109109110110110110109109111110109110110109109109108108107107109109107109109108108108109109108108108108108108108109109110109109109109108109108108108107108108107106107106107109105106108107106106106107109110111114109108107109108109110116116116113112111111105103108110111111108105105100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153155154154152151149149153155156154154156158160160999999999999999999999999999999999999999999999999999999999999999999112107108107107105105107107106104102102102103107108111112112113114118120121123128131133136137135134132131129129127125124120122121121120120117119120119117119119120122122120114113113111106105104102100 97 99 99102105107110112114113113113112112112113111110110109108107107106103101 98 90 85 81 77 76 78 76 68 74 72 80999 74 74 80 87 98 97 96 97102104106107108110110109108100104104101 98 99 98 96 96 95 93 90 87 89 92 95 95 96 98101101100101102103104104104105106107106104104103103104103104104103102102101102103103103103102102102102102102102102103103103104104104104105105111107107109109108109108108108109107107109110110110110110109109109107107108109108109110110110110110110110109113113111112111111112112111111111110111111110110110110111110111112111111111111112114113113111111111110110110110111111110109110110110110109111111109110109109109109109109108108108108109108108109109109109109108109109109109109108108108108109108108108108109107108107109109108108108107106109108108107108106105107106108108109109104108107107107108109110110108108113115116112111112112105108110111110110110111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152151155154152150148149152156158158158156159160162161999999999999999999999999999999999150149150151149152153155999999999118118106107109107105107106107106106104103104109109110113115118120124124124128133136136137137136134133131131129126125124123123121119119119119119118118118118118120121121118114113114111106104102102100 99100101102106108110111112112112112111111110108109109108109108107105104 99 95 93 87 83 79 77 74 73 70 67 68 74 76 76 77 79 83 89 97 95 97101103107110112111112110110108104104106102 98 98100 99 96 94 94 92 90 89 91 95 96 96 96 99101102102102101103103103104106107106105104103103104104104103103103102102104104104104104103103104104104104104104104104104105104104106105111111107108107106106109110108108109110110110110111111111111111111111110110110110112110110110110110111111111110113112112112110112112112111111110109109109110109110110111112111112112112112112112113113114112112111111111110110111112111111111111110109110111111111112112111110110109109110109109109108109109109109108108109109109109109108108108108108108109109109109110110109109107108107108107108108110110108108107105106106105106108108107105105107107108108108108108108108110111114115114110110109104102104109111111112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150152151150148147149152156158158158159161161162162999999999999999999999999999146148148147148149150152153153155153999999117109109109108107107110111111107104105107110111112116120123126129129130132135137136135136136135134133131129126124124124122122120122118118117117115117118120119118118118114113114113107104102100 99101100102103106108108109109105105102105104102102102102103105107107104100 94 92 88 85 84 81 77 73 72 69 64 65999 78 80 83 83 88 91 94 96100101108110111113113113113110109107100104103 99 98 99100 98 94 92 93 94 92 92 95 97 96 96 99 99101101101103102102102102105106106105104104103104104104103104103103104105105105104104105105103105106106106105105105106103103106104105105106105107106107107108108109107107110110110111111111111112111111109111111111111110110111111110111111110111111112111111111111112112112112111111111111110109109108110111111112112112113113113111112113113112111111111111110110111112112111111111110110111110111111110111110110109109108109109110108108108108109109108108109109109109109109107108108107107108109108108109108109108109106106106106106108108107108108106106105105104104105105104104104102105106107107107107108106109108109112112112112104104104104109110112112111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149150149147146146148152156158159159160161161163154999999999999999999999999149146147149149150151152153154153154154156142122117111110106106106111113111109105106107111113116118119124127130132133136138138137136136136135134133131129128126124123124123120122121121121120118118119120120120119119118116116115109106104104103103104105106106105104103102101 99 96 99 99 98 98 97 97 99101103104101 94 90 84 84 85 84 78 71 67 67 67 64 68 79 80 84 85 88 91 93 96 97103102107110112112114114113111110107102101102101 99100100 99 95 99 93 91 92 93 96 97 97 98 99100102103102103102102103103104106107106105104104104104104104104104104105105105106105105107108108107109110111111110109106105106105106106105105106106106107108108109109107109110111111111111111111111111109110113111110110110112111111111110110111111111111111111111112113113112112111111111112112111112112110112112113113113113113113113112112112113111111111111111111112111111111111110109109110110111110110110110110110110110111110109110110109109110110109109109109109110109110110109108107108108108107108107107109108108107107106107107107106110109109108108107104103104104104104103103103104104105106106107107104104108108109110111105106104106107109110111112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148147145144145148149153157159160161161164165999999999999999999999999999999145148150151151151153153154153153155154155152118117110111110107109113114112109109107110116119121123125126130133135137139139137137137136135135134132132131128125127126126126125124123122122121120120120121120120119118118118117112108107106106106106104103102100101100 99 95 96 96 97 96 97 96 96 94 96 99102102 98 94 85 80 81 83 77 70 67 61 64 64 69 75 83 85 87 87 90 92 93 97101105107109108111113113114113112110108104108104103101101101 97 94100 99 95 96 98100100100 99100100100101102102102102103104104106106106105104104104105104105105106105106106107106108107110111113114115118118118117117116112111108107106106106106107106108108109109109109110110111111111111112111113111112111113111111111113113112113113113112112112111110110111111111111112112111111111112112112112112113113113113113113112112112112112111112112112111111111110111111112112113112111111110111111110111111111111111110112111110108108110110109110110111112112111110108109110111109109109109110108108107106107106106108107107108107108108108109105108107107109107105103103107103103104103103103102103103104105106106104101105107109107107106109108109108111111112113117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145146147146143144145146147149153156159161165167999999999999999999999999999999143146149150151151152152152152152153154153155156153999119113113106107112116113113110111114120122124125126129131134137138139138137137136136135135135135135135134133132131130129126125125123122121121122122120120119119119118119118113109108106104104103102102103103103101 99 99101 96 94 92 90 91 89 90 95 98102102 96 89 84 84 82 80 71 64 62 64999 67 73 78 82 85 81 85 92 95 95 95101105105107106110112113114114112110108107108102105101101103 99 99 97100100100102102101100100 99 99 99 99100100101101102102105106106105105104105106106105105105106106107107108107109110110117119119117120117117121120118118116114111109107109107106108107108109110109109109110110110111111112112111113112112112112112114117116114115115114114114113113112112112112111111112111112111110110110111112113113114114113113113113113113112113112113111110112111112112112112113115114112112110110111112109111111111111111111112112110111111111110111110111113112111112111109109110110109109109109108108107107106105107107107106106106108108108108109108108108108107107108107107107101102103103104103103103103105105105105105105104104104105107108109110108108112115114119119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144145145145145143144146147148150153156159163167168999999999999999999999999999999144147148149148151151152151152152152152152154156153132119116113105109114115113111111111116120123124126127129132135137138138138138137136136136137138138139140139139138137137134132130128125123123123124122121121121122122121120119115110107105103102102102102102103104103101 98100 99 95 92 92 90 89 90 95100100 95 94 89 88 85 77 74 75 65 64 64 67 72 76 75 78 74 71 76 84 91 96 98104106105107108109111113114114114110108108106105106100103102102103103102102102101102102101100100100100100100100100101101103103106106105104105106107107106106106106107108108108109112115118120120121118121121118121121119120119118117112109111111107106109109110111110110109110110111111111111111112113112113113114114115116118116116116116117117116115115115115114113112113112112112111111112113113113114113113113113114113114113113111111112112114113111111111112114115115114114112111111113112112112111112110109109111111111111111111110111111110110113112113111111110110110109109108108107106106106106106107109108105105109108108106105108107108108107107107108107104103103102103103104104103102104103103104104105101102103103103106107106109111108112115114115118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144145146146144148152154153155156157159161164167168999999999999999999999999999145146146146147150151150151151150150150151152153153148142119114111108110115116115113113114116120123125127130133134136137138139139139139139140139139140141142141142142141141141139137135132127125125125125126123123124126126123121120117114109106105104102102101102104102105102100102103 99 96 95 91 90 93 96 99 98 98 96 95 89 79 74 69 66 64 64 70 75 77 78 77 77 71 67 74 86 93 98102107107105107109111109113115114114111108109108105109108106104104104104103104103102102102102102101101101101100100101102102104105105106105105106107107107106106106106106107109110113116119119121120120122122122120120121121120121122121116113110108107106109108109110113110110111110111110109110111112114115116116117116116117117117117117117117118117118118116117116115114114114112112111111112113114114114114112113113114113113113112112112112113113112112111112113112114115115114114111112114113111113113112110109111113111111111110111111111109109111112113112112112112111110109109108107107107105105105108109108108107107109108107108107108108108107107108108108108104102103104104104105103105103102102103104102103102102103104107106104106107111112112114114116112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144143146148150155157160161160161162162164165167169169999999999999999999999999149151150150150151152151152152152151152152152152149138128126114112111115118118117115114115118121125127131134135135137138138138139139139139139140140140142143143143143144143142141140138137131127127126126127127127126128127126124123121117114110113111106104103103104107106104104106106102100 98 94 95 96 96 96 98 98 97 94 85 74 69 68 63 63 75 79 78 78 77 76 72 70 71 78 88 94 99103107108106109112115115113115115114112109108109110110110108107107107106105105105104105104105105104103103103102102102103106106105106107107107107108107106106106106107107108110112115118118119120120121122122122122122120121120123120120117116114109110108106108109110110110111110112111111111111113115116117118118117116116117118119118117117119118117117116116116116115114113113112112112111112112113114114114114114115114114114114114113113113113114112115112112113115115115115114113113114114114113113114113113113113112112112110112111111110109111112114114114113112112113113113111108111107106107106109109107107106107108109109108108107109110108108109110111108105105107108108107103103103104104104103103104103103104102103105106107106111111113114114111113112119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145144147152157159161161161160160160162164165167170171170999999999999999999144146150150151152151153153153151150152152152152151147140133126119114111109115118117117117116119121126129132134135137138138137138139138139140140141142142144143143144144145146145144140139136134131128125126127128129128129129129129127125123119116113111107108107106106105109105103 98100106105100101100 97 96 96 94 92 93 85 77 71 69 67 66 68 73 78 77 77 76 74 69 75 72 83 86 89 98102105108108113114113113112115115115113109108109109106111111111110110109108108108107107107107107107106106106106106105106106106107108108108108109108107107107107107107109109110113117117118119120119120119121119121119119120122121121120121124119116112110109109111111112110111113112112112113113114115116118117117116116117117117118118117118118118117117116115115116115115114114112112112111111112112113113114114114114114114113113114113114114114115114113113113113115116115115115114115115115114114113114114112113114114113113112112111110111110111112113114114113113114114115113113111113108108111110111110108108108106107108107108108108108108107109109108109108107108107107107107106104104105103102102103103103103103102106107107107112113115116115114119114117119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150150150154159161161161160160161161162164165168169171171999999999999999999143146146151153153153152153152151152152151150150150147144140134127121116113116119120120118119121125129136137138140141141141140139140140140141142143143144145144144145145146146146145145142140138134132126124129127128129129126125126128129129127124121118116116114111112109112107109107107105103101104104102100 97 94 94 92 83 78 73 71 67 73 75 75 74 73 75 74 71 80 84 89 85 88 91 99105109112108112114115115113114114115113108107106109108112112111111111111110111110109108108108108108108108108108108108109109109108109109109109109108107107108109109109109111112115116116119119119120120121121119119121121121121121121121122122121116114113109111111110112112111113113113114113112113117117117117117118116119118118118118119119118119119119120119117116116116115114113112112111111112113112113112114116114113115113113114114114114114114113113113114115116115115115115115116116116114114114115114113113113114114113113111112111111111111112112113114114114114114114112113112112112112112110112110108107108108109106108109108107107108109109109110109108108109109107108107107105105105101102104104102102102102103103106105107113113114113118118118119120114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156158160162161158160162162162162161160160163165166167168170170171164999999999999145145148151154153154153153153152152151151150149149149150150147142135124120118119122123122120121124131137141143143144145143145144143142142142142142144145145146145144145145145145145145145144142141139137133130129127127127127126127128125126126130129125124123121119117113110114113111108106106105100 98 96 98 95 98 95 93 88 75 73 74 72 74 73 73 73 72 73 74 73 71 75 74 85 88 92100106109112114107109113114116114115114112112108105104107107111112112113113113113112112112111111111111111111111111111111111111110110111110110111111110109110109110111111112112111115117118119120120120121121121122119119121120123122122125121121121121117116114112111112113111111113114114114111112113114117118117117117117117117117118119119119117118119119119119118116116118116116116113112112112112111111112112113115115114115115114113114114114114115114114115114115115117117116115116115116117116117116116115115115114114114113113113112112112111112112111114112113114114114113112111112113112112112113111109110109108108108108109108107108107107109109108110108108107107107108108106106107105105105102102104102102101103103104104104111108114114113116120120119112113116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160162164165164165165164164164164164163161159163167167170171171170171171170999999999999151151153152154153153153153152151152152151150150151150152151149143134132126123124123125124123126132138141142144145145146145146148146146144144143143144145146146147147146146146146145145145144144142140139135133132130129130129129128130131132133133128132128125124120116112109109108107105 99 96 93102100 93 86 89 91 94 92 83 76 70 70 74 75 73 73 74 73 72 73 73 75 82 88 86 96102107110113114115116114117115116115115113111110108108105106108111110113115114113113113114114114114113113113114114114114113112112112112112114113113113113112113112111111112112113113115118118119120119120120121122123122121121122126126126125125122122121120115116115113113114114114115115115116116116117117116118118118116115116117117118119119119119119118118120119118116116117117117117114113113112112112111111112113115116115115115115115114114114114116117117115115115116118117116116116116118115116117117116116115117115115114113113114112111110111111112111113112114115114113113113112113113112112112113112111111110110106107108109108107108109110110108106106107106108106107107108108106106105105103104102103102101101101103104104108109105110115113118119118111111112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162164164165164164165165166165164163162160159160165168170172173172171171171170999999999999151151155155155154154154154153152152151151150150151151151149145141135132130129129125126125127132138142144147147148148148148148148147147148147146146146146146146147148147147147145145144145144145143143140138136134135134134135134130130131135133133131132130123118115117112109109107103100 94 91100101 88 89 87 85 82 87 86 83 71 71 72 75 77 77 75 72 72 72 75 74 80 92 94 95101105110113109111108109117111113115114112113113112109105106107108106109113115114113113113113113113113114114114114115114115115112114114114114115114115114114113113112112113114115113113114116117119119118119121121122124124122122122124126127122124125123122116115116117114118117114116116115117117118118118118116117119117116118119117118118118119119119119119120120119118118119118117118116114113113113112112113112112113115116115115115115114114115116116116115116115116115118118117117115117117117115116116117116116116116115114115117115115113111110111112112113113113114114114113112115112111112112112113112113112111108110109110109109109109109109109110111107107106107107108108109109108107106106104103104105102101101101103103103104104103104111111115113112110112112113117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162163164164165164165166166166165164162160158159163168172173174173172171171171170999999999999149154154156155155154154154153152152151150149149148146145144142140136135133132132127126128132138139143145147149150149149149148148147147148148147148147147146146147146146147146143141141138138138144145145142142142142142142140139137132131127128124115125130128125121117113110109107 99 95 97 94 97 94 93 85 87 78 76 79 78 77 73 77 80 81 77 75 73 73 73 74 77 91 90 96100104108111114115115109110110110113114114115115114114111109108108107108109108111112115113113114113114114115115115116116116116115116116116116115115115115115115115114114113113112113114114114115117118119119118120121121122123123121125126129128128123126126124122118116117116119118118116115117117117118119118118117116119119117117118119117118119118119119120120120121120119118118119119118118117115115114113112113114113113114115115115117116116115115116117117117116117117116117117116116117116116116116116116116116116116118118116116116115115115114114112113113112112112112113113113113111116112112111112112112112113113113109111112112111110109110110111111108108108109109108108108109109110110108105105104106106106103107107101103104104104105111110110112109109110109110111119120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155158159161163165165165166166166165165164162160159161163168172174175174173173173172999999999999999151155154155154155155153154153153153152152150149147144143142144144143141139136134130128130138140141143145145148150151152152151148148147149149150148148147147148149149148146144141141140138136137132139144145145145144143141133130123117116115117123119128129128123118116111110108103101101 98 96 95 94 88 79 76 76 73 77 84 84 88 90 88 87 83 80 78 77 80 83 84100101105108110112116116114115116116117119119118114115116114113111111110109109109109108113112113113114114113113114115115115115115116116116116115116116115117116116115115115116115115115114114114114116116117118118118119120120121123122122123125125127129129128127128127121119118120120120119118118116117117118120120119118117117119118117118117118118119120120119119121121121122124123119121120120120118118117117116113114113114112113115116116116116116117117116118116117117118118118117118118117117118117116116116116117117118117117118120121119117114114115114112113115115114113114113114114113112113111110111112112111112112114114112109112112112111111112112113111108115111110110111109108107108109109110107107108108109107104103107103106106107107103110110104105106107107109109116121120119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155156158158161165166165166167166165166165164163161162163167172174175175175175175166999999999999999156156154154154154153154154154154154154153151148147146146147149149147145143139136134130132139140141142142146149151153153152151150149148149150151149149148148147149149148148146141140141138133130130130138144144145142134126120117117113113114117116118125128126121118111111108106106102100 94 91 89 89 84 76 75 73 83 82 85 78 85 82 88 93 85 85 88 88 86 91 92106109113113115117117116115115116117117119112113112115114113112112112111109110111110112112111112112112113112113114115114115115114115115116115115117117118117117117116116117117116116116115116116116116117119119119117118120120121121121121124123123126128127125125126128126125122124123122121120119118119119119119120120119120120118117118118118119119118119120121121123122122123123124122121122122121121120118117116115115114113113114116117116116116117117117117118117117117118116118119119118118118119119119119119119119119120120119121120120119119118117117117115114114115116114115115114114114114112112111114113113113114115114113114113113111112111113113115112111110111111110110109109109108108109108108107107108107109108107106106102106107108108108109110104103105106105106110115111111119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154156157158159160162166166165167167167167167166164163163164165169173175176176175175999999999999999999156156155155153154154154155155154155155154151150148149150152152152151148145141138135133135139141142143145148152152153153153153153152150150150150150149149149147150147149149145144140140136133133134136139144145137128125120118112110112115112117112119129126122116112107102 99 97105106102 96 93 92 81 80 78 77 76 83 80 82 79 90 90 94 98 99101 96 97 94 91 94108111115114114115116115115114109115115115108110113112113113112111111111113112112108110110112112112112113113114115116116116116115115115116116115116117118119117118118117117117117116116117117117117116117119119119118120121120121121121123124124124125125127126126127128128131130128127125124122121120117118120120120120119118120117118118119119119120122120121122124123124126124125125124123123122122122121120118116116114114115115115116116116116117116116117118118119118118118117117119119118119120120121120120120120120120121120120120119122120118119119119119119118116116116117115114115114113114113113113114113113114115117114114115116112114114113114114114111113112112111110110109110109109109109108109107107107106107108108108106107107108108109109103103104104104104107106107107109119120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150155158158159159161162163167167167167167168168168166165164164165166171172174176177168999999999999999999999152152152156155155154155154154154154152151153153151152153154154154151146141138136135135137140141143145149152154154154154154154154154153152153150150151150148149148147148149148142139136135137138140143143140126124119117113116113110112111112117126128121118112107 97100 95 95105104 93 90 90 89 82 80 83 81 98101 84 81 87 97 98100102101104105103102102 99110113114113115116115115112111114114115115115109113114114115114114114112113112111112110108111113113113113113114115116116117117116115116116116116117117119119119119119118117117118117116117117119117117117118120119119120121121121121121123124123123124127127129128129130130133132132128127126124123123118118119119121121121120120118119119120121121121122121122123123124125127128126126125122123122122122121121117117117116115115115116116115115117116116117117118118120119120119118119118119120122122122121121122121121121121121120122121121119120120118117118121120119118117118117115114115116115114112113114114113113113114113114115115116115116116114113114115112112112113113112112112111111111111108109108108108110109109108106106107108108108108108108100101101102103105106106106106107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154157160162163163163162162165167167167167168168169167165164165166166169171172175177177999999999999999999999999151154156156156154155154154154154154154155156156155155155155156155153151145139136135135139141143145151154155154154154155156155155154154154153152152152151149149146145146147145135134132133135137135131124124122121119115111117112115119122122125123120116110107102 99 97103101104 98 95 82 81 76 78 73 92 87 86 95 97 97 95100102103105106106109110108110112114115114115114114114113111110114116116115115114116116117115112115114113112113113113113113114113114113114114115116116116117117116116114114115117118117118120120119119120119118118118118118118119118119120120120120119121121121121121123124125124123126127130130132131132131131131129128131129128126123121120119120121121120119119120120122122123122122124123124124125128127127127126125124124123123122123120118119118117115116116117118118117117117118118119119119120121120120119120120122122122122123121121122122121121122122121121121120120119119119118119120120118119118120119117117118116115115115115114113114115116112112116117113118118119119119114115114113113113113112113113113112112111112111113112110112111110108109109108108109108107107109100100102103102105106105105104104109105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161161164163165165165163161163164166167166168168169169168169169169169169169170172174177177999999999999999999999999999158157157157157156155155154155156157158158158158158158157157157156156153148141137136138140143147152155157154154155156157156153151150150149149149148148149150148147148146146138126129129129127126122120121121122122120120121121120118122124123121117110106102 99 96 93 92 99100 98 90 79 79 89999101 88 82 93 97100 98102101106106108109111109111113114115115115115114114116116113110111115116110110107112116118117113116116116115114114114114114113114114113110113114113114116115116116116115115114116117117117119120121120120120119119118119119120119120118120121121121119120120122121121122123124124125125129129131132137140135134135132132132134133129128126125121122121122121122121121121122122123123123123125125125125127127127126127127126125126125124123123121119119118117115115115117118120117118118118119120120120121122122121121120121123121123124123123121123122121121123124123122120120121120120120119120119119119118120121120120119120119117118118115115114115115113115115114117115117119119121119118117115114113114113112112113113112113111110111109110111113112110111111110108109109107107102102 99100101103108105105104101104100107108112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159163165165164164164165163164164164166167168168168169170171173172172171171170170171173175177999999999999999999999999999999156157157157157157156156155157157158159159158159159158158158158157156154149144141141143149154157158156155155155157157153151151150148149146144144144145144146147147147144144131128127127124124122122121120119120120119122124123124122123120117111110104106101 98 94 95 86 87 89 91 89 81 90 86 85 87 90 94 94 96 98103104107108108108110112111112114113115115115115115117116115115113118115109109108118118117118115116116115114114114114115115114114114114118113114113114114115115115115116115115117118118119120121121121120120121120119118118119119119119119121122121122120121121120121123124124124125129132133135136139141140141140136139134131130129130128125126124124124123123123122123123123124125125126126127126128128128128128128128128127126126125126124123123119119118117117117118118119120118118119121121121121121122122122122122124124122121123123123121121122123123123122122121120121121120120120119120120119119120120120120121120122122122122120116116114113113113112114114117116118121119118119117117115114113113112113111112113113113111111109109109109111111110110110110111110109110109102101101101109109108103103104101104106109108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161163164166165165165166166164164165165166167169168168170173173173174173173172171172174173173174176999999999999999999999999999999156156157158158158158157158158159160158157157157158158158158157156154152148146149153155158159159156156155156156155154150149147145146143150140141141141142142146146145146137131128129129127123123121125119120117119118117118117115115114112111113109107103 91 89 93 93 91 92 91 91 93 82 80 88 90 93 97101103106105105107109110109110110110113114115115115117116116117117118117115117116115116116118119119118118116114115114115114113112112113112112114119114114114114116117118115115115114115116117119121122122121120120121121120119118119119120120121121120121122122122121121121122123123122124125129134139139138138138140141141134138139136134134134132130127126126126127126125125125125125125126127127127127128128129129130128127127128127127127127126124124123120119118117116118118118119121120121121121122122122119121121121122122125124123123123123123122121122122123123122122121122121121121120120120119119120120121121121121121121122123123122122120119115113113113113116119119120121121120121120119115114114113113112113114114114115114114113113111109110109110110111110110111111110109103101101104108109108103103103108110111108108108112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162163165165165165164165165165166165165167170171171171170169171173174174174173173172172174174173172172169999999999999999999999999999999155155156156157158159158159161161159157157155155154154154154154153152151151154157159159160159159158158157156156153150151147142142143140148144141140136138141140143145146138132132129132130127123122122121122122121118116114113112112114115114115115112106 96 91 93 89 96 97 94999 85 87 83 96 97100105107107106109110108112111111111111111113116114116108117117117117116118118118117116119118119119115117116112117117117115115113119111111111111111112112113115115114119114115115114114114115117118118122125124123122121122123121121119120119121122121121119121122122122122122123123122124127130130134136139141140138137136135137139137139138137136136134134133132129128130130130127126127127128129130131130130131129129129130129129128127128128127126126125124123120119118118117117117120119122121121120121122122123124123121123122123123123124124124123122123124122122123123121121122120122123122122121121120119120120120121121120121122121122122122120120120116117115117117121119119121122121121122120120116116114114113115115115115115114111112111110110107107109109110111112112113113109105103102106107109107106107107105108107105109112115121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160162164165165165165166166166166167166166169172173173173171170170173173172173173173173174174173174173172999999999999999999999999999999999151154154154156157159161161161161159157155155155155155154152152153155154157159159159159160158157159159158156155150149147147144143142143142136133132134135138140140142146143136127127130128127125126124123125126127122119115117116115114113114113113114111105 92 89 89 91 92999 89 91 87 94 98 99103105107108108110111111111112112113111113114114116116111111118116116113118118118118118118118118118115117116117115117117116115115124114111114112113113112112114116115116115114113113113114115118120120122124124124124124123122123123123122122125124122123123122123124124122123124125127131132133135137143140140137136133132131132136136137137139138136138136134133134130131131130130129130130130133132131132132133133131131132130129128127128128127126126124124122120119119118118117118121121121120121120121121123122125123123123123124122122122123124124122123123124123122121122121126121120120120122120121120120119119122121121121122122121121121122122119118118117118117118120120120120121121121122120117117116114114115115116116115113111110111111109109108107112111110110110111113109108108106106109111109108109109108107106106113118119113118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162163165165165166165166167168168169168169170173174173173171170170172172173175178179178178176173174172173999999999999999999999999999999999999152152153155158160163163162161159157157158159159157156155154154157158159159159159160161159158159157158158156153151150150145140140138139137129132129134134136140141144145140132128131128128128127126126128130129127122118119117115113112110112113113111109 96 89 87 87 83 90 85 84 92 94100101105106106106108110108108110111112112113112114115115116117115116116116120117118119118118117117117118113116116116120118118118117116118116115116115115115116116117117116115114112113113113115116119121121123124125124124124124124124124124125127125126126125124129125125123125127129130129133136138142141141140136131130132132132134135136140140141135136136137137136135132133134133133133133133133134133134134134135135133133132131130128129129128128126126124124123122120121119119118119121121122124122123123124123123124124125124124124122122122121124125123123124123124122121123125125120120119120120120120120119119117119121121121121121120122123123121122123121123121121120122119121120120120120118117117118119117117116115116115113114111112112110109109109109112111108105107107108109110109111110109110108111112106100101 99112118118118119118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160162162165165166167168170171172171172171172172174174173174174173173174175179183185186185184179176173172999999999999999999999999999999999999999158999999156159159162163162162160159159162162162162160160160157158159160159159160161162161157158158156156156151150148148146139136131128127127126127128129133140139143144140133131131131131131130130131131130129126121119113107109109104107108110110102103 92 88 87103 83 90 84 89 96 99102105107106104106106107108108108109112112110110113113116117117115116116117119123118118118119119116118115116118118119123119120120119119118117117117116116115116117117117117115112114115115116117117120121121124124123124125124124123123123124125126127126126126126126127128130130132131132133135135137135134133131133130130132132133135136137138139139138137137136138135135135135135135135136137136136136137136137136135135134134134132130130130128127127128127126125123123122120120120120120121122123123124124124125123123124126124125123124124122122122124126123124123127121125127126122121120119120120122121119116118117122121119119120121121121123122121122122123122122124123121121121121120120120119121118119119118118117117117114113112112112110110112110109108106111107109107108107108108115114110110111111112112112105109106110117115119115114111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160161163165166167168169171172172172173173173173173174174175175175175176178182187189189189186183180177178999999999999999999165168169999999999999999999999157157159162163163163161160160161162162162163163161161161161161162162163163164163158159158157157154149148148147144138135132129125121129129129125132136139142143137132133133134134133132132132132131128123118112107 97108 94100104107107107102100 92 90 88101 88 88 92 98102104106106108111112112110107108110112112115113115114109112114116117115113117113114120116118117117118118115116117117119120120119119119120119118118117118116117115114115115115115115115114114114115115116119121122120123123124124124124124124124124126126126125127128131132134136137138141135137138137137136139132133132132130128131133133132138136137138138137138138135136136136135136137136136137138138139138138138138137136136135134133131131130130128128128125126125124124123124123122121121121122122123123124123123124124125125126125124126126123122124124124123123127127126125122122122120122122120120121120119118119121121121121119121120121123122120121121122121122121122123122121122122122121120120117116115119118117117116116115113111112113114111112113111110109108111108107106107106104105110111110110111106113115109107108111111118116116111111109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159159160162165166167168170170169170171172172173173173175175175176176177178181187192194195192190187184179999999999999999999165168169168168170171172173999999158159162162164163164163162161162163163164164164164164164163163164164165165165163160159158158157153149148147147142139135135131127129130131129130131135140144140135134134133133134133131130128129129127124116108108101105 96 97101105105101100 96 93 92 90 91 94 96 99100102105106107110115120120117114112119120119116120118107110111114120116117114117117115122115119120122121119118118117119120120119120120120121120118117118118118117117116116116116116116116114114114115116116118119120121122123123124124124124124124124125126126128130133136137137139141146146140144140136138136134135133132131131130132129131133136137137139138138137138138137138137135135136136137136136139139138138137137138137137134133134132132131129130128127126126126125125123122123122120121122122123123123127127124123124123124124123123125125126124123123123123127126127128126122123121122123123122121121121120120119121120121122121120123124126124127124122121122123121122122122122121122121121119119118116116117117117117115115113114113114113113111111111112112113113112110107108108108108111111110112113108114117110115114111113115117118120121111114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158160159160162165166167169170171173173174173174175175177178179179179177177180187193196198198197195191187182999999999999999999164165167169169169171173173999999999160163164165165165165165165166166166164165167166165165165164165164165166165164163160157158157152150148148147144140136135132131131131133134135136140143143138136136134134135135134134129127125125122119119111100 96 90 86 89 88 97102100 97 92 90 91 91 93 93 93105100105110114115121122120121122118122123122122119118116114113108109111113116114117117116121119121122122121113119119119120119119120119121122122121120119119119119119118118118118116116115116117118118117118118119119120120121122121123123125125126127126127127130133134137138139146145145142143145144143137138136134135136135134132134131131133135135137137138139138137138139140139139136135136138137139136135137137138139136136137136134134134131131131131131130129127127127126126125123122123123123123124123124123125125124124124123123125124124128125125124124125124124124124129127127122124123123124123122122121122122121118120125121120120123122121122121123122124123123123122122123123122122121120120117118118117117117116116116115114112113115115113113113113113113114114116116114114112111112114112113113114116110116117118120116115114106117123124118118117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159160161160161163167168168169171174177177176177177179180180181181181181181181186192196200201201199198195189184182999999999999164166167167169169169169170174174999999159163165165166167167167167168168168168168168168167167166165165165165166166165165162159157155153153151149146146142138136134131137133135137139141142142143144138136135136136136135134129128128125129114113110105 94 91 93 93 92 99101 98 98 93 92 93 96101105105112115113117118117121121120122123122122122121122122120117113112113114117119119116118119120121118120122122121120119119119119120119119120121122122122121121121120120120119119118118118116127119120121122121121122122123124125124126126125126127127128128128128130133136138139142144144145145144145142141140137136137136135140137134134136137138137135137138139138140140137138138137137139136137137137138137136135136137137137138137136135135134133132131132131131132131128128127127127126126123124124123124124124125125125125124124123123123123123124123124124127125124125124123124124124125122124124125123123123123123123124123123123122124121119121120121122123126123124123122124124125125124123124120118118117117117117117117116116115115111112115114113114115115116114115116116116117117116115114118117116114116116112111117113118118114113110109113125119121120119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156159162163163166167169170171172174177179180181181181182183183181181182184186191195198201203200200200198191185183999999999999166167168168169169169169169171174999159160160163166168168170169169168168168167167167167167167166165165165165165165165165163162158155155156155151148146145142139140137138138140140142144145145142142139138136136136135136132129129127121132115106111 99 92 86 93 96 99 99 95 91 99 95 97101103107103104105112119118118118118120123123122122122121119121121120115117111115112113112114114118119118115118118120121121121120119119120119119119119120121121121120123123122122120121120122121128120119120122124125125125128127126127127130133133132132131131131129130131132136139139142140143143145143145148147143142140140136139141139136133134138138138137138139138139138139136137137138137137138137139139137137136136136136136136136138137135135135134134134132133132132132132129129128128126125126126126126124126127127127127127126125125125125124125125124123123126125125125124124123123124125125125124125124123123123124124123124123120123123127120119121128126122123124124124125127126127125124125123121120118118117117117116115116115117114116114112113114116115115115115117116117117117117121120120119120117117118117117119118119116120120115114113112117126122121123123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154158162163164166168170172173173173173174177181182182182184184184183184185186189192195198202205204202201200194186182999999999999168169169170170170170170170172174163162161161163166168169169169169167166166165165165166167167166167166166166166165165165164162159157157159156158156150146145144143143144144143143145146146143141140140139137135135135134130130124120119124120999999999 84 86 91 94 95 94 90 95 96 95103108104106107105107112115117124127123125123129126125129122122122121120117117114112114112112114116116119120121118120120122121121120120120120120120120121120122122121121122123124124124124124124124137125124125127128129129131131132129131132138138134135134136132131130131132136138138139140143143141142145147149147147142139140137142142138134135134135139138137138140140141139138137137136138139142142139139137137137134135136136137137139140139136135136135134134135134133133133131130129129129128128128127128128127127128130127128127127128127126127124125125123124124125125126125124124124125125126125125125126126125124124124124124123124122124129126124126122122121121123124123125124126125128126126125123122122120120119119118116117116117116115112114115116118116115115115117117118118118118123123122119119116116119118118119120118117119119121123123117120128127126125126128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155156161163164165168170173174174175175175174177179180180182184186186185185187190191193196200205207206204201200195188184999999999168169169170170171172171172170172173166165164163165167168169169168167166164163163161163164165166166166166166164166166166166165163160159157159158159158157154149147144143142142142141140143143142141140139137137137136133130129127126123121999999999 92 94 81 87 90 93 94 95 96 94101 99107107111115115115114120128125129135131133133125127126129129124124123118119117116115117116115116119122122119121120119120121121120119119120120120120121121122123123122122122123124125126126125125127127126126126129128130132131131132132133136135136132133134136132131132134135137138140139138139139139141147146150146145143141141140140140138137135135135136138137137139138140139138139139137138140141141140140139137135135137136137138139140137137136135135136135135135134134133134132131131130131130128127129129130129129129129129128131130128128128128127126127125123124124125126125125124125125125125126127127127126126123123124125124123122121125128122123126123123122123123125123123123127126127127127126124123123120119120119118117117116114115114115116116116118115117119118119117119117118119123124117116115116122121119120125119119119121120120128128118117129129128127125125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154158161162164166167169171173175175176177177178177177178181183184186187187188190191192194199202207207205204204201195189181175999165167169169170171171168170170170170169165167166165167169169170169167165164163161162161163162163166166167167166165166165164164165164161160159157158159160159158156153147144143144141141143142140137136136136137137136135133126121118119118999999999 94102 88 88 90 93 94 93 97102103100103108116124129127125129128128138136137136131133131128128128129128128125120119116118117120116115116117121119123119118118115114120117118121121119120120121124123125127124128125125127126127127127127127128129128130130131132133132132132133133133135136136136136134134131132133136137138138138138137138139141144146151152154150145145141140138138138138136138140140137137139137136138139140138137139139139140140139139137136136136137138139139138137137136135134134134134135135133134133133132130130130129130130130131131129130130131131131130131129128128128128130128127126125125125125126125125126127126125126128126127126125125125124124122122122122124123123124124122123123123131136126125125127126127128128127127123123121121120120118118117116115113113112115114114118119119120120120119120117117123124124120121124119122122124125126122123127131124131129130120128128130130128128127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158160163164165166168171173174174175176176175177178179180181183184185187188189190190191192196201206208210207206204201195190184179169163162166169170172171170169170171171169168167167168169169169170169167165164163162162163164164164166166167167167166165163163163164164163161161160161162162160160160157157149148146149148150145146143145145147144141141140134125125124999999999999103 92102 93 94 91 93 92 96101104106106103104108119128129130132140138137135135131127124131132130132126126131123125129130126122119118119117118120120122122119118116120120118123121120121122122122127125126125125130126126128127128129129128129131129129129130130132133132131132134135136137137138138141136135132133136139137138138137137137139139140143146149150152151148144140139139141141141142140141141140141141136138138139140139139139139140140139140138137136136136137138138137137137136135135135134133134135135135134133132131130131130130131132132132130131131130131132133131130130129130129129129130130127130126125126127126128127126126125125126127127126126126124123124123122122125122127122122123124125123124131132127124127126125128126128127125124126124121120120120119119117116114114113113114115116118118120120120122123118118123125126121125127124123123126125122123125132129130121133133134135139131130129132135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160161163165167169170172174173174176178179179178177177179181184184186187188188188189189190192198205210211210209208206202199194189185183181170163168171172172169170169168168169170169169168170170170169169168167164164163163163164166166166166167166165165163160160161161163163163162161160161161159161162161159157156156154155152150148148150151151148146143139127116137999999999103 96 95 88100 97 95 90 92 96 96 98 99100105 98103112117135128133139138134134136134130123133133133134132125125128128124128133133128121119122121118119122123121119121121124119120121123122123123123123124126127126125125127131128129129129130129129129129128129129129130131130131132133135137137137138138136135135134137137137136136138137139139138138140141146148150151146145143144144146144145145144143144144143144143141139139139139139140139139140140141139137136137137137137137138137136136136135134134133134135135135134134133133131131132133130132131131132130130132131130133132131130130130129129128127128132129128127126126127126126126127127126126126127126127126127124124123125122121122122124124123122124123122124125124125125126124126127127128128127127127128124122121121121119119117116115113114113117121119119121121121123120120120125121120126127121120124125126122124125134133122121131131134144143143147141141141133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162164164167169170171172173173174176178180182181180178178180181184186187188187188188188189189193201208212210210210211209207204203201200194189184178168170170171171170171171171171169168168169169170170168168168167166164164165163165165165164164165165165165163162161160160163163162160160159161159160161162163162160158160157154157154153149151152151148142135129120106999999124109112114103 92 90 93 94102 96101103102104102106101120122119135138141141138136136136135133133132135134134133132131131132131131131133133129125126122124123125127130124121126126121123122124126123125125123122124127127126126125129130129129129130131130130130129128131131132130132133132134136137137137138137137136136135135136137137138138138138137137138139143144147150150146146145145144145146148147145145146148146142143141142140140138140140140141141141141140139137137137138137139138137136136135134134134134134135134135134133134133132133133133132132130132132130130130130131131131131130130130128129130128132131129127127126127127126126127126127127126126126127127126126124124123125125122122122121122122127126121122122122132132132128128127128128129128130130128128125123122122123121121119117116115115113115117118121121120119122122123123126122127127122121121122123123123123132134121131131131136137141146141142138142137140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160162165168167169171173173173174174175176177178180182182181180182183184185187188188189189189190191196205211212206210210210211210208207206204202197193188180166170172172172171172171171171170168167169170170168168167168167167167167165166165166165164164164165165164163162162163163163161161159160159160161161163163163159161161161158152156152157153999153150148152131115107106159125107110108121103 95104 96100103100123105105104113125116120123137142143142138136136136134131131129127131131133133131131130131131128129132130128125124120122123124132132124124121119119122122122122124125125124124126126126126124128129128129130130131132132130130130131131131130131132132134136137138137139137137137137136137138137138141141139139139139140141141142145149153150147148147145146145148148145144147145144142144144142141140140141141141142142142141140138137137137138138139138137136134135134134134133135135133134134134135134134133134134134132132131130129129129129129130130131130132130129128129129128128129128128127127126126127127127127128126127126126125124125125124123123124125121120120121121123125122122121121124124125127128127128131130129131130130128127126124124123123122120119117117116117118116116120119121120122121123120120121127127122120122122122121123124124123123133134131136137142141141143130144141140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159161165169170169171173174174174174174175175175176179181183183184184185185185185188189190190190191192199207212214209210211212212212209209207999205201196193188176165170172172172170171169170168167167168168168168168167168168169168168168167166166165164163163163163165165165164163162162162161160162159160162163162163161159158159162162159156152999999999999150146150118111107103121128125132126116107114106107113115118131120127132129126122122129136142144143140137136133130130130133136126129127126127128129131134129127131135133130125122122123124124129128121121118119121121122122123124125125124124125126124124128129129130130132132132132130130131132131131132131131133134136137139138139139140139138137137138139139140140139139138139141141142144146152155153150149149148147147148147146143146143144144143143144144143142142142142142143142140140137137138138139139138137137136134135134134134134135135135134134135134134133133133134134132131131129129128129130129130129131131130130128128127128126127128128129128127126127127127127127128127127127127123123124124124124124123123121124123122122122124121121126126123123125128128128130131130128129130131131130129127125124123122122121121120119121117116119120118121124122122124121123122122120121121122122124124126127127125124125135138137137140142139154152140147149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159159164168171171172173175174175175175175175175176177178180183185187187186187187186187189190190190192196203208214216999212213213213210209999999999999999201198195184177168172173172171170170169169168167168169168168168168168169168168168168167166166165165164164162161163164163164163163163162161161161159161161161161161162159158999158158157152154999999999145147134138119111109107111110115114119115116109107108115118121124130130142136128125127128139144144142138137134132131131131130129127125125124124128128131131134130131136135132132129130129129127129125120120122125123121123121122123124125126124124126131130132130129129130131136133131133133133132132134135134135135135136137139139139139142139139139138139139140140140139139139141141142143146148151154152152151151148148148149147145145145145144146143143142143144143143143143142143142142140139138138139139139138137137136135135135135135135135136136135135135135133133133132133133131131130129129129130130129129128129130129130128127128126128127128128128127125128128129128125125127127127126126126124124124125125123123123124127121123123122123124124124125124124125128128129130131128130130132132133133131130128126123120123119122124119119118116117119122123123122125126121120122121122122123124124126126128137127125136136137134137137136135140141142141143142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157159161163165168171173174175176176177178178178178178179180180183186188189189189188188188188190191192196201203208210215217216214999214212210999999999999999999999201199192183170170172173172171170170169168167168169169169169168168168168169168167166166166165165165164162161161161161160161161162161162162161159162163162161161164164161999999999999999999148146150149134135129119118117112109114121127136134117112109112110121123130133125134135134135133138143145143145140138133131131131130128124125118118120122123128132133130132134137135129126125125124127122129123127126125121120119120123124125127128126125128130129127129129129129129132133128130130131135134132133133133134135137138138138138141141142139138139139140140140141141142140140141142143145148150153155153153150150150149149148146145145145144144144143142142143143144144143143143143143143141140140138139139138138138137136135135135135135134135135135135135134134133133133133133132131131130129129129131129130128128129130129129128128127127127128127127128127126126128128128128126125126126126127126126124129125127123124123125125124127123124124125124123122126126127127130129130128129130131133138134135136132130128125121123120124124120120119117118121121121121122122122119121128122122124122122123124125126127126125133135135134136135130136139140140141140140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156159163165168169169172174175176176177178180182181181182186186185186189190191192194194195194193195198201205210211211214217218218217999214213210999999999999999999999999201198191180168167169171171169169168168168169169169170169168169169168168167166166165164163163162162161160160160161161160159158159159160161163164162161159163163999999999999999141142147143142142136133137127124124122117118117122136129124115118114114125133133135136137140140141142144144145146144146144137133132132131134129131124117118116121122127130132129132135136133127126127125123123133132126122123126121122125124126126128128129128127130129129129129129129131132131130129132132133134134132133135135136135138138139138139139141140139139138140140140141141142141141142143145145145148151153155153152152148150150150149147146145144143142142142142144142142143143143144145143142142142142139139139139138138138137136135135135135135135136135135134134134133133134135133132132130131130130130131130129129130128129130130129128127129130133128127127127126126125125126127127125126124125126125125128127128129126125124123125124126128126125124124124123125126126126127128130129129130130132133135136138139138136130134130127128125121123122119120118121121118123121122118119120129121122122122122122123124125124125132133133136135137136131136127133138139139140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159161163165167170171171173175176177178178179180182183184188190190188189192192193195196199200200200203206209211212212214218219220219217217215213211210999999999999999999999999200195188179167165169169169169169170168169169169169169169168168167167166166165164164163162162162161159159159160160160158157157159160162162161161158155999999999999999999141139138138139129131127124125124129129123119121126131124128125130122128134136137137138138139138139140142144144146145145142140138136137131132132131133126124119118123125131131126130133134134129126127126124128127135133132130129124124125125133134133132134136135127126130130129129130130130132132129129134133132133134134136136136138138138137139140140140143140140140140140141140141143142142142144144145147148149152154154155154151149149150150149148148144144142142141140142142141140142143143144144143142142142142139139139138139138138137137136135135135135136135135136135134135134135135134133132132132131131132132131131129129129129130130130130128128135129129129128128127126128128126125127126126125124124125126126128128129129131128128126122122129132126127123124123127125125126129128128131129129129131132133136136137136135140137136135131129126123123124122121120122119122123124118117118121124122121121123123122123124124125125134134135137128132137137139136142142142142141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161163163166168170172173173175178179179179179179180182185187190191191192192194195195197199201203203206209212214215214216218220221221219219219217214212211999999999999999999999999999199195187177167168169169169170170170169170170170169169168168167167166165165164164163163163163162161160160159159160159159159160162164166163160157157999999142999145142139134131125126127122128128123127134131120119122127132133135133129134136136138138135137137135138140141142144146146143139142147140139135133132132132128127126126126129130129132134136132131133132129132128135135136132131132131131132130129128138134132134132138135132134132132132134137135133133133135137137138135134139139136141143139137139140141136142141141142143143142141143141143144143143144146146148149151150155156156158156154151150151150150149147144144142140140138140139140140141141141142142142140141142141139138139138138138138138137136136136135136136137136135136135135135135135135133132133132132132132131132132130130130130130130131131131130134129128129128129127128128125125127124125126125125124124128129128125126128129128125125126123124126128128128126125127126126128125127128129129130131131131132134136137137138138135136137135132128126124126121119123122122122120120119118118121122121121121123124124123123124124130131132133127135137137139145142141143145143143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164164165165169171172172173174176178180180180180180180180183185186190192193192193195198200202204205205210213217217215216219220221221223222221221219216214212209999999999999999999999999999197195189180171168168168169169170170170169169168168168168168167166165164163164163163162163165164163164165164164164163162161161166167159157999999999144145143144140135134129123126126132131122125128128120119118122128132134134135137136134135135135134132129131132138140144145145142141139141151141139135133132132131131130121132131126127131135136137129129127129129137134132132126125127126133133129129128135134130136138135135135137139137136136135136134137139136136136141140132132135134136138135136138139140140143147148147147145144146145145144146149149147148150149150150151153154157160158156155153151150151150149147145144142140139138139138138139140139141140139140140141142142140139139139139139138138137137137136136136136137135136136136135135135136134134134134133132132131131131131131131130131131131130132132136130129129130129129129127125126126126126126125124123124126123130131128130130127129128127126124123124126127126130125125127127125126127128129130129132132132134132136138138139138136135138136134131130130127123125127125123123122121121120120121124121122122122122123123124124124131130133134128138139139142139138140143144142146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168167167167168171172173173174176177178179180181180180181182183184186188192194194195197199202205206206208213215218218219219220221223223223224223223221219216214211999999999999999999999999999999196195191184175171169167169170170168168168168167167167166166166166165164164165164164165168171172171169169168170169168167169169165162999999999146145143141138136132131126125126130130130121124129133129127126128131132135137136137138137139139138136135132136136133136141143142139139139140142143139137134134137131131130125126127128128132136137136137124131124132134133128129127128129131136136136132130134129131130132135133134135137139143141139139140139138138138137142141137136135137138138141141140143143144149147150150151148148149150147147149151152149151152152152154156157155158162158157155153152150151150149148145144142140140139139139138138140140141141140140140140140140139139139139139138138138138137137136137137137138137137138135136135135136136135134134133132133131131131131132131130132133133131132134138133134131131130129129128126124125126125124123124131131133130129125124125127127130128128128125124124126130128129128128126126126126129128129132131131131134134135134137140140138141141140140143140140136130131129130128130129127125124125125125125123131130123121123121122124123132133131130136136137139140140134134141142145142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171173172172170172173174173174175176177178180181182182182184186190192193192190193194194198203206208208208211215215218220221221222222223223224224224223222221220216212999999999999999999999999999999999197197195191184178168167168169168167167167166166166165164165165165164165165166171175183184182180179178176174171173176172169167999999148147145142140139139138134130128126139146127133121126131132133129126129130132136137137138139138139138135136134137134136137136135137139140140140141142140141133134135136133131130131126129129129135136135137132126125125132131131130129130129129135136135137132132132131133135136136134134138138142144146143142141141140139139139137138138137138140142144144145146147148148153154155156157153151148150152154156155154155154156157159161161162160160163158157154152151151150150148148145144142141140139139140140139140139138139140140140140140140140139139139138139139139138138137137137137138137137137137136136135135136135135133133133132132131131132132134132131133135133134134138134133133134133131130130128128126126125124124126125129132133127127125124125126127128128127128127125124127130130129129126126126126127126128129130129130130131132133136139142141142141141142141142140137134136135133133132132131132129129128128128126127133131124124123122128129124132133133133140136135140142138137139140141142146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173173172172173174174175176176176176177179180182184185186189194196198199197193193194197204206209210208207213216216218220221221223223223224225225225224223221220216214999999999999999999999999999999999999196198196194191182174171169168167168168167166166165164164165164166167171179187187186184184184186183182181182181180172161999999150148148147145144144142136141135135126139150132131126128131130132133129130130132134136137137138134136139139136139140140139140141136135136138139141144140140147139132132132131131130134129134135134134137134137133130131132133133132131132129134134132133134135137139141140141142142143143140137137139143145144145142141144143143142141143144142140143142143144148149156158157153159160157160156155156157156158159159159158158159159161163162163162161161159155152152150150150149148147144145143142141140140140139138137138138139139140141140140140140140139139139139139140139139139138139139140139138138137137137136136135134135134134134134133133132133134134133134133133134135134134134136134136135133135132132131130128127128126125125128127125125126125125126127127127128128128129127127128127131130129127125126125125127130127130131132130132135135136138140144147144145144143145143140137137134134134135134134133133134133132130130129134133132132125130129129131130131133135136137138141144139133136145142142141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173173173172173174175176176177177177178179180182184187187189192196199202203202198197199204207209212211207208214217217217220222221223223225226226226225224223220219216215999999999999999999999999999999999999999999195194194190186181178169169169169167167166166165165165166169175187189188185185184184182999999183183179175176169999148149149147149150149150149148141133129128125132127151138128127128130130129128130130131132133133136137135137139140141144144142145146140139139137137136138138142142139134134134131132132133133133126127129125132133130131134131130131131131131134132133133134130134137137139135137139140141141144141144145143149153148146143141139137137137141146142143142146147148146151151159160162160166164160165162163164163161162161162163163163161160161162162162161162158158153152150150149149149148147145146144143143141139138139137138138138139140140141141141141141140140140140139139139140140139139141140140140138138138138138137137135134134134134133133134133133134132134133133134134134134135135136137138138136136139136134133133129128128128127126125124124125125126127127127126127127127129131130128128127126131124125126125125127133133129128132133134135133135137138142146145144146145144142141143141138137136139135136136138136134135135135134137139136136129127126124131131133125133133135139140140138137144144146144143148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170171172173173173173174175176176177177177178179182184184186187188190193197200202204203201201205208209213214210207212217218217219220221222223224226227227226225224223221219216999999999999999999999999999999999999999999999999999193191189188189180175173176172168167167166165167172183188189185182183184185184999999999999999175174171163149150150150151151151151153151144141133131129127129131132139139133128130134134133135133134134131136135139136141144145143142142142145144144144143142137137139137139136131140129129132131130136131129128126125126126132130131132129131131131131129131132135135135136138139139142145145146145146147148146147148147152150148144143142139138139140143153149146147148149153155155159157168168165164163169165164165166166166165164164164164165163162163162163162162160157156153150150149148149148146147146145143144142140138138138138138138139139139140140141141141141140140140139139139138139139139139141140140140139138139139138138137136134135135134133133133134134134133134133134133134135137138137137139139139140139140139136136134133129131129128127127125127129128126126128128128129128138128130130129128128127127125127127126126126129130132131133134136137136139141144143147146144146143143143142144142139139138138137138138138137137137137136142142141137131130133131126132132131132130133138141142135135142141145142143145149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171171171173174174174174175175176176176177178178180184186186187188188190194198198201203203205206208209212216215210208213216217217219220220221223225227227227226225225223221218216999999999999999999999999999999999999999999999999999999999194190189191188187185187183177174175175177184192179999182183182181181999999999999174174176175174157148150152152153151151150151149148146139138135136135136134132140138137135141135139136138135135140142143144147147148146145144143143143143142142143146145150149144143139140136139137131131127132131133132127131131131132132133134129129130135136136136136141143144145146147146146146148150150149151150150151153144150149145148148148147146149145147144145147149149150154159162162163165166166165167164164164165165165166165166166167166165165165163163163162161159155154151149147149148148147146146145145145144142140140140139139139139140140140140140140140140141141141140139139139140140140140140140140141139139139140139138138137136136135135135134134134134134134135134132134134135135136138139140142140141141140141141138138136135135135135136130129130131131128130130130131140141141129131133131132129129128126128128128127129130130130130132134138137138137140141143145145145145145145144143143141141140139141138138139139139140140138138137137142141137135136133132136135134132133136134141142134134140142142141141141149144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169171172172173174175175176176176176176176176177178181185187188188189190192195201202203205206207207208210213218219214210212214216216217217218220223226227228227225225225223221218217999999999999999999999999999999999999999999999999999999999999999194194195193193194193191188189190191190999999184182182181181999999172171172174172173172168163154150153156156153148148150150146142147147145147145145143142136141137140142138139136136136139142145147148150150149148147143142142144141141144142146142148142136141141138139138137130130128127129128135126129125125124134125127128129130133135137145150152151153153154158160163161165156159156155155152151149148150146144144143142142145145144142143145148151151153156158159164166166173166166165164165163164164165166165166165165168167165163164164162160159156154152150148147147148147148147146146146145145144143141141141141141141141142142141140140140140140141140139139139139139140139140139140141141139139139140138139138137137136135135135134135134134135135135135134135135135136136138139139141143144142141142142141141139138140142137138137133136131131131132130129131140142141130131133135134133132130130130129129127129130132131131135137137138136136137139141144143146146144143143143145141141142141141141140140140141140140138137137142145143143137138137135140139139137133135134140139138140142140145141142142145144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168167171172172173174176177177177177176176175177180181185188190190192193193194195200203204205206206206208210213219221219215213215215214214214219221223227228229227225224224223221219217999999999999999999999999999999999999999999999999999999999999999999999999999999192191192193191191190999999181185183182182178999172173171171171168170167168169166156153155154152146148149150147151158152151150149146147144140143143143139139141141138138141143148151151150149147144147142142141140146146143144144146138146137141141138141138137134132132131134136141140133133142130128129129131132133135138143149155156156158164161162159164166166167165161160158157153150150149144145146144146147148145146147149149150152156155158161165165166165166165164161162164165164163163163164164165164165166164163163160161160158154152151150148148147147148150146146146146145144143142141142141141141141141141141141139140139140140140140140139138139139139139139139141140141140139140139139139138138137137137136136135136136135135135136137137136135136137138141142140143144144143142143143142142143143143145141139139142135134133134135132131131130131132129130130131130131135135135140137131129128134130131133134136135136135138138143142144143146146146143144145143143143143142142142142141141140139140138137136140143144144139144143139144142143138138138138141140140138136140142140144145146146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170168168170171172174175177178178178177177177178180184185189192194196198199199199198199202204205206206206206208211216221224222219217217217216219223225227229229229226225225224224222220220999999999999999999999999999999999999999999999999999999999999999999999999999999999195195194192999999999999182183183182999999173174174173171172169167165167171169162154154154152153155154153159165157153152150150147146143142144142143142144143141143145146146149152152154148146145145141142140140146146143142140145147142141142143144144140135132135133135135135135135139140140141141146137136133144144148154163163162163159166169172171165172168169162162161161160156150151149145148148148147148149147148149152152155157161164167167162166168166164166163163162161162161161163163162164165165165164164164160161159155157151150150149147147147146147147145146146145146145142141141140140142141141141141140140139140140140140140140140140140139139140140140140140142142140140140140140140139138139137138138138137137137135135136137138138136137135137138138140141141142144145145145144144146145144143143144143143142141139140138136134133133132131131132130130130131131135135142141134140142135134133132135136137136138139141143145146145146147147148147147146148146146146147146145144143143142141141139145140144145144145146147143143145145146142143139140139135133133132138143139144144148154 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171171171171173174174177179180180180179180181182185188190193195198200201201202202203204205206206206206206207209212218224227227227225223222223226228229230231229228227226225225224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184184182179999178176176175175174174172168164164999999170164154154153159162160158165169167165157156152148146148145149149145146149148146146147150151151152153151150148144142141140142140137149144153154147148149143142143146153150145139141140135134135137138138140143146147153157153151140146150151157165164157158162170172174164164166162163163161159158160159162158156154154156156157152150151152152157160164162165168169169167166168169170170167167161158161159157160158158162164162162163162162159158155154153151150148147147147146146146147146147148148146144142141141141141142142142142141140140140140141141141141140141141141140140140140141141142143142141140140141140140139139138138138138139137137137136135137138138137135136137137138139140141143146146144146146147146147148146147146146147155145145142142142142139141136135133133132131131132143130132132133138139142140134133134136136137137137139141142142142143147147146147149149150151150148148149149150148147146144143143142143149145146150147149150148146147148151147146145138143147145144143133141144136140142145147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172172172173175177179182184186185184184183184186189191194196199200203205206207208209211212212211210209208209211217223229231230230230229228229230231231231231230227226226225223223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182183180999999179177178176174173173171167161999999164166161155156156164166167171174173167165161155154149147146147146148146147147147147148149150153151152147152156148144141140139141141142144140139139140145145143143144148149152150150147144142134132139143139140138142145151147156145139147141151154149156156159161161172175166168168168167171171165164165161159156155155155154154154153153156157159160161163167168169167167167168166169169168166164160159158157155156156157160162163161162163162159155154154152151151147147146146147147147148149148148148146147144143142143143143143142142142142141142141142141141141141142141140141141142142141141141141141142141141140141140140140139139139138138137137136137137137138138137137136137137138140139143143144145146147147148146147145147156152147157148148147147148145145143144141138140137137137134133134146143132132139139138137135138138136137138138139140141141143143144145145145145146148149150151151151151148150150149149147148146146152150149150149145150151150146148153159149148139147153149147141141139141143142142142147146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172173173173174177180184188190190192191190189188188190193193194197200202206209211212215216217216214212212212212213217223230232232231232232232232232232232233232230228226226225224223222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180180180178177177176175174172172167163164164165164163160157159164170170173177178173172167165158155151147145148145147146146147147154156151160155156155152153166158149149143144147147146146145144142145144141151152153153153154153152156153151144144140142145143140144148155150151147148148148153147146151153160156158162166167168168169175174174171165166164160160160161162160158157157159162164165166166168169168168168169168171168170169165158158156155155156157157155154156157161161163163162160155154154152151149148147146145147148147147148148148148147147146145144145144144144144142143142142143143144142142141141141141141141144144142141140142142141142141141141140140141140140138138137138136136136136136137136138140139137138137138140141141144145145145146146146146146147147154151152152151150151150151150149146145144144143141140146147146145136136138136141139132133138141138138139139140141140140143142144144143143144145146148149149150150152149149149150150149148147147146149148151153147146149150151154151158155150144148154154150150144140142142143145145145145145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173175178179180182184187190192193193193193193192193196197198198199202204205209212215218219219220219215213214215218222225228231234234235235235235235235234233232231229226226225224223223222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178180180178175171169167168164164164165164164160161158161167170171174175174175173169167168164160158151148149149153153152151151154153157160161157156156161166161152150149148148148147146149145150151152149155159155157152156154160160158158152152155156153152154149156158158157146148152153152153153154156163160165169170171170171171177177176174167168168166164163164165164161162164165167165169169170172173174173170172173169167167167164157155153160159156156156157155156158159159158162156156154154155153151149149147147146146149150150150149148149148147148147145145145145145144143143143143144144142141141141142142143142142143145143142142142142142141142141141140140140140139138138138137137137137137136136136140139136137138139140140141144145144145145146146146146149149150152153154156155154154154154154154150148147148146145141149138140141139137138137137140135134137137137136137140139138140140141140141144143144144145147148149148148149149151149152152150148147149147146150151153153152152153151155155155155156146146152156155155148150142146142145147149151155148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175175177179179182185187190192194195195196196196197200203205207208209210209209211214218220221221221220218217219223227229231233235237238237237236236235235234233232229228226225224223223223222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181182179178173170167166163165166167167165165163162168173174174175176176175175174171171169173168161164159153153155155156159156155158158160163164160160164167166155154150149147150149152152157160159161160163166163165167167168165168168167169166164168166157159162158160154150153155157156157157158159160163165167171173171172172173177177176171169169168167168168168167167168167168169174172172174175174175174171171168168166164171167165159155155154157158155155156156157157156155155157158158157157156152150150150151149148147150151151151149149148150150150151148148147147145145144144144143143144143141141143142142143142143143143144143143142142143142142141141140140139139139138137137138137137137138137136137136136136137138139141141141143144144144144145146147149151153155157157158158157157157158158157157157151151150147144142141140137140141139137136137135136142142143139138137139139139140143141141142143144145144147148150150151152150150151151155151152151150150149152152154153154154155157151146156157159155150159155159160158150147149149151153155149149154151 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176177177177176178178180182184186189190191192194197200202205208210212213213214214213212214217219222222223223222221223227229230233234235236237237236237236235235235234231999999227226226224224222222221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181181179999167166164164165164163162162161165165172174174175177179179177175176175173175176174170170168162162159158160160157159162160158161162163165163164165167163161152153153154150156154158160162164166169169172172173173173172167175176175174173171169167166162163160160153155156160161161160164163165166165169172175175174175174173176176171170170170167165168169170169171172173174176174176175172172171172170170170168165165167163160156155154154158158157155154156156156155155159158158158157156156152151150150150150150154153151151151150149148148150150150149150148149147147144144145145145145144144143142142142143143143144143143142142142143142143143142141140139139139139139138137137137136136136137135137137136137140138139139141141143145143144145146150151154154154158160161161161160159160160160159159158156152151147146146143140141144140139136145135142135144142142138139138139139140141142145144143144144146144145145146151151152150156155149150151153152150151154158152152154156156157152153156158159155153160160157164162152157155157141152151155150152148149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203206999999999999999999999999999999999999999999999999999999999999999999999999999999999178178177177178178178179181183186186187188189190193196200205209211213214215215216215215214216219222223223224224224224228229230231234235236238239237236235235235236234233231999999999999225224224224223221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167165164165163163161160163167169173176178179181179178177177175176175174174176172175175176173171167166164164165162165165164164166165167167162162167162159158161156156154158159162163165168166171171173172174173177178171178182181179179169176178174171171168168164161160160161162162164163167167167172169172174172175175173177177173169169168168167169171173174175174177173175172172173171171171170170170168168166165165162161158155156157156156156156154155155154154155157157156157157156155155151151152155154154154152152153151149149149151151150150149149150149149148146146146147146146145146144143143143145144144144145144143143144144144143143142141140140140139140139138138136136137137137137135136137136140138139141140141142144146146147149152153156156158158160162163161161162161161160160159159156154152152150148146146143141145141138138148147145137144144143139140141142142141142143143143145144143144145145149149151150149156150154148149149149152152153153157154155155156159160156155157159155155153161164162162152151155156155161155154154152158158150 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203203999999202203999999999999999999999999999999999999999999999999999999999999999999178179179179179178179179180180181183186187188190190192195199202207211213214215216216216216217216219220222223224224225226228228231231232233234235238239240238235233235233234233232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167166166166164163162161164167166170173174176178180181180178178179178177176173174176175175173174176177173173171171168165166166166165166166168168170170166165162156156158159159160157161157161163165168169172168172173175178180177183183184182184185178179182182180179175170171171168165163163165166167170170173171171174173173173173172173175171169169169170170172176175177178175174173173170170170170170170168168168168166164163161160159156154154156156156155155154156158157158157156157157156157156153153155154155155155155153153153153152150151152153152152151151151152152151150149149146148149151149149147146145144146145145144145145144145145145145145143144142140140140139141139139139138139139137136136138137138137137138139141141144145145146148151155156155157158159159161163164163164162161161161161160158155156154154151149145153152141141140146148149147140138138140140141141143142142142143140142142143145142145145146146148149149155155148147147148153153156158154158157155158154153155156150158159161165156160165165160161161150158161164162154158156161158153150 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203203201201200200200999999999999999999999999999999999999999999999999999999999178178179180179180179180180181181181181182185187187189191193197201203206209213214215216216217217219220220220221222224227227227228229230231232231233235234237239239238237236234233233233233231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165165164164163164163164167169169171174177179181182182181179179178180178174174175177175175174175173171173174174173174171169167166168163168168169168171167171173167162164160157156156157155155161161160162165166171173176179181183178183185184186189189188186184186186183184181174175176176172169168171170173171172174174176174176176177175174172172172176177175177177179178176176176173173171169169170170169168167167168167166165161163162160155156156154154155154154154155155156158157157156157156152152151153152154155156155154151152153153152149151152151151152152152153153153152152151149149150152153151151150149147147150149147145145144145145145143144143144144144143141141142142142142140140138138137137138140139141138139140141143143147146147150152157157160157160161162161163163167164164163164163160160160157156160155153151155153152154142147149149151149147140140140141141141140144144144144141142142143144143144145145145147150151152154151152147150150151157158160161162160157157156161159158162162162161160153163165158162161158155160160160157163161159162159154155 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204202999199198198198199999999999999999999999999999999999999999999999999999999180180180180180181181181181181181181186187188190189190191195199203205207208211213215216217217218220221221221221222223225226227227227228229231232232233234236237238242240239237234231230230231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191194184999999999999169165164165163163162162163163165168171173176176179180183183182182180179180177177179178175172172174174170170170170172175176176173171168168166166167169168169170170166170171160162162158156155158159158160162159165163164163168171178182184185180187184188193194192192193189191190189186184183183183183179176173173173172174175176177175175177178181180180178177177177176177180180179176176174175172171170169168169170168168166167167166163163162163156157156157154155154157159156156155159157158158157155157156156155155155153155155155155154153153153152152151150152152151152154154155156154155154153152153153154154152152152152150150154154149148143145145145143144145143144145144144143143144144144144143141140140140140142144144144141143143143146148148150153155156157161161163164164166166166166168166164164163162161160157156162161155152157154150147145144154150154150143143142144144144145143143143143146144147146145143142142142143144147149149150154154151147149149150154159159160161157162163157157155150164166163161162158159159159162161153157153159157164163163162161153152153155 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205203200198197196194195196192190999999192999999999999999999999999999999180181180180180180181181182182183183181181186190191193193194195197199204206209211211212213215216220219221222222223224223224224226226225226226227231230233234235236237239240241240239237234231230230229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189191192190177176171170168165163161161160161162162164166169170173175178181184184184184184183181181179179179178179179177177174174170170170173174175175174175172172171172171171169171171170168167170176163161161158157158158161160162162165165161161166167173181186191191190192191194195195195194194195194195192185190190189187185186178177177174176177179180181179177177179182182180181180177182182181181180177176175175175173170168171176168166167164165167167167164163161158157157156158154157158158160159158157158157156156155156156154155155156154153154155154154153152150151151151151151152153153154155155155154154155154154154154155155155155153155155154152155154151149147146146146145145146144144145145145144145145144145145144143143140143143144146148149145147152152149150152152156157160162162164166166167169167167169169166163163163162160160158157156156153157148153148145144144151154155154146145147148148148149150148148146147146146145144143143143143143150148148150150151156151151154151153161158162163159160164163159158161164164155159164163156160162163156159158161149158164163160163160159158157155154 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204203201199195193192192192192192193192191189185183183999999999181180180180181181180180181181181182185183185187188189191193193196197198200204206208209210212213213216217219220219220221223225225225226227227228226225228230231229232234236238239239239240240238236233231229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182183182178176175173170167165166162161161160161162162169171174175176179182184184185185183182181181181180182181183179179178176171170169174176174175175176174177177177178178178176174172172168167168169165166164164162159159158160161163162163165166164165171180175188185191192192192195196198198197196195196197200195192192193192189186185181181177178184184181180181179182183183183182179179179182183183182180176175177176176174175174174172172164165166167168169168166164163161159159156158157158158157158159161160158157158157156155155155156155156155154154154155153150149148149149150150151151152153156155155155156156156155156156157157156156156156157156155153153153150148148146146147145146145145145145146144144145145145144144144143144144144147148151151147154155156153154155154157160162163165166165168167169169169168168168167163162163159158159157157155158157150152155149146146155154152154149148149151151153155156158158158152150150148147145145143144149151149149150150152149148153152152149154159161163159159162162162158160164162160155157163158162163159156155163159161163163162162162161160158157156156156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198197999999999201201196196194191190189189189191191190190189186183181179179180179179179180179180181181181182183184186189189191192196198200200200203201202203205207208211213214215216217218219218217222223224225223225225227226227226224231232233231234235235236240240240240240237234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191187184180179176174174176177174173174171169166165168169169170173174176179182185184185185185184183180180183183183182181179180178175175174171176177177176178179178177180180181180178175173176172168167162160160170165167163160159158160161162161161165165161162171170184188185184191196191191200199200198199201199200200201197194194195191190189185181181184185185183183184185185186185185182180183184184180181180180178175177177177174169166168162165163163167168170168168166163163161160160159159159161159159159160160161159159159159157156157157157158157156155155155155151147147147145147149150151151152154156155156156156156156157158158158159158158158159158157157155154153150150148144145145146146145146144145146145145145145145145144144145145145151152155154151153153155156159160160162164166168170167169173172169168170172168167167167168166162160160159157161160159153153150150148148156155155150150152152152154156158160163164162161157157156154152149150145151150150149150150150153154153150149149153154160161164154155162160160158166163162156157159163161164164161158161166170153165164163164163163159159154155156157 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201206203200197196192191190189188188186187188188187187188187187182180180180179179180180180181182183183184185187189192193195197200204207207210207206210211209209211213214215216217218219217218219220222223224223224226227227227226229231232231235234236238239241240239240240238999999999999999999218216215999999999999999999999212211211208211999999999999999999999999999999999999999999999999191190189184182179178176176177179179179177175173168170171171173174174175180184185184183183182181184185184181182183184182182180178179178177174176175176178178182176178179176177181181181181180176175168161166167165158163165163161159158160160161160159163164162169174180184178194193192194193193197195196200199198194201198198202194193195194191190188183184187186185185183185187188186186185185184184184182183177179186179179177177176174176173167164164165165168168168168167165164163162161161161163161158158159159159159160160161161160158159159158157157157156156155156152150149148146146149150151152152154155156156156156157156156157158159159160160160160159159159158156156155152154149147146147146149149145145147146145146146147147147146148148150152155156152153155158159161161164165166166167170170168168173174171171170171170167168167166167165165162160159160158155155153152151153150156156156156153158158155157159159158163167166162161160160159158162156153151150149151144152144151156157154142150151155157161162164164156162163157157162164161158160163163161165164165157165171166168168169165160164163156161161161157159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199199199196193191191189189187187187187187187187187186186186184182182181180181181182181181182184186188189190190191192192195196198200202205208210210211214213212212214214216216217216218218218220220218221222223225226226227227228228232233234236235237240241242240240239238233236999999999999999216217217217999999999999214213212212213212210208214999999999999999999999999999999999999999189188190186185183182182183180180181182181180180182174176176175176175176178180182183182181181182183185182183182180179181181177177178178181180179178179179181181181179177177180179179180182183183182178176176174169165164159163163162162161161160161160158160163160178177183192191194193200198200198197199200198201200199198200201200193192192193189188191186186187189188185185186191191191188189185183184186186182184185184179177175180176183178170168169167167167167168167165165163162161161161163162160158158157160158159160161161161161161160160159158157157157155153154156153153152150147148149150151152153154155155155155155156155156158158159160161160160161159158159159157156153152152150147147147146149150147147147148148148150149149148150151151156158159155155156157159162164168170169170171170171171172173172174173170170169169168169167165166165164165162161160159157156155154153153160159154154154160159162159161161162162162162163163162163163162159161158158157152143144144144151142148147155148146151161160162160158161159162158160159159160160162163163166166166158163156165168170164167164162160160158160163162165162162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199198193190190190191191189188189188187187186187188188185186185182182185185185184183183183181183186189190191191191191191192193196197198200202207210211211212214214213214216216217218220220221221223222221221221221223226227228226228228233234235237237240243243244242239239236233999999999999999218219218217216215999215216216216215215215213214213214212215999999999999999999999999999999999189191188186184191187187185183181181183182180180179178178176177177179181181182183183182182182181184184183184181180180182181180179181180179181181181182181181181178177181181179179179181182184185186186179174178178171169162162163161163164161160160159160160160162179184189196199201207204198197196194199195196200200198198199199201197196190188191191191190189189191189189189190193191191190192191190184185186185185182187181182178179178177179170167166167170165165165165164161163161161158160160160155159160160160158160161161162163163160161159160160160159158156156156156153154152151149149151152151152154154154155154155156157158158160160161161162161160159159158159158157157154153151150148148147146150148149149150153153152152151153153153154155155156157157158159162164166169171171172172172171172174173173173173172170169171168168165166166167167164166164161158159158156157154153160159159159159159160162163160162162162163162163164165164164163163162160162160158155153144152153146152144151149145146155156160161162162162163164159159162168166163168165164165166169168167166159169170172162167171168166164167163165166165163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202202200198194192189193193191191190189190189188188187189189188184185183182184186188189189187186186187188189190190191192194196197194194195196196197199205211211211211213215216215217219218221222223221221221222222222221222222224225227224232228231233234233234241243244245244241239239238999999999999999224220218217217216216217217217217215214214213217218216215216215216212999999999999999999999189183191194195193192191190190188184182183184183184181183183179179179179182183183182181182182182182184183182182181181181182181183183182183180182182182182184183183184180182183182181182183184186188188187185190181181176176173162164166169169168162161163163164165169174190190193193201209208203204198196197199200197195194194195198198198197195193194190193193194192190191193194196194197186189191188188188190188191189189188186185183183176182176176168168165166164165164164165164163161161161158159165160166166159161161164165163166166167163160159159159162159159159157157157153152152152149149151150151153155154154155156157158159160160161161161162162161161160160160161161159159155154153152151151149149151150151153154155155155155155156157157158158158159161164167165166168169170172172171172172172171172174173171172171170167168167167166164166166167165164164163160160158158156160162161159159155160160161163160162166168164165164166167168167165165163162165166162160156156153151153146149152152147148149151159160162163164162163163161161166171168167167167166166166166168162167161165172171166166166165165166165166168164165162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201200200199199197195192190193194193193193193191191190189190189189188187184183184183184187189189189190191193194193192190191193198201203204204203201202203203203211214213215217217217219220221222223224225224223220220221221221221221221223222229230225227228234233234240242245246246999242241238243999999999999999999218218216215217219218218217214215214216216217219220219218217217216213999999999999999190189195194194193193188186184185183184186187187187186185181183183183182183185184183183183182183184185183182183183182182184185184182180182180183180181184185185185181181186185181184185185186187189191189189189180178204176175174169178174180166175166171168170174170170191192197196202206204203202201198197195193196195195189192194191191193193194195192196196195194195194192191187191191187188189184186187186185188188188185188186179184182177173177175166166173167166165165164165164164166167165160163159160160161162163166167166167167167165165165162160161158157159159157156155153152152152153157153156156157156157159158158160161161161161162164164163163163162162162162163159161160159159157156157155153153153154156155158159159158158160160160162163167163166168170167171168171171172172171171172172172172172172172172172167167165165166163163168169165164165164163162161159157158164164165162157162163162163161167168168170171166168169169169169169168166171169169167163160155154147145143144150150151150151157162163164164164164166164166165171172170168169169168168167165166167164166169169167164164166166167167167166169166167166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203201200198197198195194191192194195196197196194195194193192192191191190188185185184184185186187188190193195197197197194193192193199205208210210210209207209207206210214215216217218219219221223224224225226226225222221219221221222221223224223226229229227230232236238241242244247246247245247240242241241999999999999999999999217215219217217216217217216216217218219222222221221219219218215213211999999190193190189188192192189184184186184184187188188188187184182180182184184184185186186186186185185185185185184184184184185186187185183184182180182184187183196189185186189188186188187186188187188190193189199198186183190203178177176179183181181179177177175174181178186190197192197201203202201209202204201201200199197197194192192193192193192196196195196195190190190189191189189191192186188187191191191188187187186188186186180179181181181183182180173178175172168172167170173168167165165165164161159160160162163164165168167166168169169167167164163161159158158158157155153153152156155155155154156156157158159161161162161161161162163163165165164164164163163163163162162163163165163162162161158156155156156159160160162162165165163166165168169169168168170169169174172175173172171171170171172171172170171172172169167167164165165168169167169165165162163163165163161160167165167169167160165162168171162171172172173166168169176174174175175168168173172169167165161159156153146152154154152153155161165166166165163165165163162163166168169171170169170170170167168166164161165165164164164165166166168168168169168169167166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202202200198197196196195194193193195197199200197196195196195195193193192190188186186187187188188187188191194196198198199198197196197204208210211211210208208210207207209213216216217218220221222223225225226227227226225223222221221219219224221223220227229231233235237242243242244247247245245243243244243239999999999999999999999999216216218217217218219219221222222223224223223224223221220219220213208201193191186189193190190183182184183180185188188188188188185184184184185183184188187188189190190190191189188187186186187187186186187184183182181183184184188191185186183195188188189190188190190189193193194195194187191182198181181179173173178178179173182187186186184193198194198200197204206206206205200196204203193197199196194194191195197192197199198195192190183185188188187194192190188192189189188189185185187186186181186185184183176176182174167183173168165166168169172171168164167166167166163161161163162163164166167167167169169170169167166164162160159158157159158157156154159155156157157156157158158160160161162161162162164164164166166165165164164164165165165163165165164168163167168162161161161162163164164166169171170170171170173173173172171174173173176175177174173172172171171172171171170168171175172166166165166170169170170170166166166165166167169169172168173172175172168173172167168170175167177168167169175178176175169172172168172173168166164163158157154155157156159154159161162166167164162161162159161165167168172172172171171171172170168169170166165166166166166163168167170169169171172171171170169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204201202200195194194193194194195197198200200200197196196198200199198195194191190192191188187189189190189192194198199199198201201201202206208209211211209208206208207209210212215216217219221222223223225227227228229226226224222220219220218222222222223226228231232234237242243244244246247246246245244245243239999999999999999999999999999999999218219221223225225227228227227228227226224223219219222216218201191195190193195194187186182183182184186187188188190189184183187187185185186188190192195196195193195195193190189186186183189187185184181182180182181185184188185185184187187188191191192189190192194195196194197196192190190188185187179177173188180178185186188188199193195192195201199201208206210210204203200195197198197193193192195195192197198197195192188187187189187187186185189192191189187190187188186188189187185180181186185185177176182173167167173171170168172171168167168170168167168167164163164162163164165166167167168168169169169169168165162160159159159159159157156157155156156157158158159159161161162161162162161161165165165167166166166166166166166166166165166165162163164160164162162164166167165168169170172172173174175178177173175176177176175175183184174174174172172172171172171171170174174173172166164165169171173173170169170170171172172173174174177173177178179178175178175175172172173172170171170175178179177173171169169169171171170168166163162159160159162166163151158163166167165164164164163161166169170172174175174170173174174169171171171167171165170172164173172173171169172173174172174172171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201201201200199194195195195196197199200199198198198198197198199200202203200196194197197197193190193193194195197199199198200201205204203203208208209211211209209208206208210210213216217218221223224224225226227227229229229227225224222219221222223223223225228230229234234237240240243245247247248247247245245242238999999999999999239241999999999226227231228227234229230230228228228228227228224223222220221223211195196196193194200197189184185186186188189188190187185183182184184184189185190195195197198198199198198197196193192188185187187188188186183181182187187187184185186186189187186187191192195194193196196203202200198196196193193191196190188187194190183184185190193197199199201204208209211211208208210207207202203202198196194194197197196196198196193190189188188188187185186189193188188186190188189188190191190190188186183184186187183182177181180179178177178177177170171171170169171171169169169168169167168167167167168169169168168170169170173172167163162162162160158158159159160159160162164164163160161162162162162161162161161162164164165166167166167167167167167167169166165165163163163163164163165166166167169172174176175174180181180181180178179180177176178179180178176174173172171174174169169170174174173170165164165167172174175175172174174175177178184178178180181180180183185184181177178178177176178173173174177173178174174174172170169168167166170170167165164162162162166161161163165167170170167171171166168173173176177175176175175172171172178173176169168175176168174170174173173174175175175176174176174174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202199199199199199196194195195198200199199198198199199201200201202203201201201199199198199201201195195195198201203204204203205206207206206205206209209212211211208208209209210211214217218219220222224225226226226227228230230229226225224222221222223224225227230230231235234237240240242245246247248248250244244242999999999999236237240244245243239236236236237234233232231229228228227226226228227226224224224219212201197196195200201200195191191190190192191189188187186189186193189195197197196203207210210202202202202199197196195194189183184187188188187182191191193193189189189190190190190188196202199195195196200201206207205201200198198198198197197197197196196197199200198201203206204208211210212211214211208206206199204201200198198194197195197194192190190186186187188188188188188188188187189194187187193190192192194193192185183179186186185182177177174173172173173180176174174173172173173171173174174173169170170171170171169171171170170170170170174173172166163163163161161161163162164166169169169169168167165162164165165164162162163164164165167166167168169169169167167166168167166166165164163164164165165167168170171174176179176179184184182182179180180177177175177178179178176177174171170171170169169173176174173171165164167170171178178180175177179179183186188183188186183183188188191188182180179180185178182177178177177180179174175174173171170169169168171170170170169167166166165162166166166168168172173173174173172174176178179174174173176176176179179175176172177179179179181179179180181181181182179178177176175176 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202200199199199197196195195196198199199199199201203204204205205205204202201201199199201206208207204200198200201202204204205206208208207206205206209210213213211209208209211211211215218219219220221222224226226228227227229231229227225225223222224225226227229232232232231235237239241243244246247249250249247246244999999999999239242246247245241238237236236235235233233233232228227228227227227228227226225224223211202204197203206206205201194192191191192191190188191189186185189198196204212215216210210210210208209208206203199195194192187185185185186183187182188191185186187191191191193187194196200198199200202202203210208207207202202202203203202204203203203206208209206208205207208208210212217219216209211207205204203205200199198200196195198196193190187187187187190187186189190188189188188188188187190194193193193194192192189186185180181187184179182176173174176177178179179178176175174175173173175174175176175173177173174173172171171171170170170175175173170165164163162163165166168171173173172173171171169168165166166167168167165165165165166167167168170170170168167167168168168168168166166164164165166167170171171175177179179179189187185184182181180182177176178177178176176177176173172175172170174175175176178173172165167173176176179179177183179179181186183183186189189187193191192193188187184184184181180179180184178183183181177177176176173171177175174174173173171171169170168165169170166167169175175177177174173177178179179178175175175176176182182179179184184184184185187187188186186187187184184184180179180180179 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202199199198198197196196196197197198198199201205206206206207206205203202201202203206210212212214214212208206204204205206210208209209209209208208210211214215212211211212212212213216217218219222224225226229228229229229229231230228227225225225226228228229230232232233233234233238239241243245247249251250249248247247999999242248249248246244999999999233232233232235230233231226225224227228229229226227227226224216207207203212212216214208199195192191191192192194193198199201210208208210211223222221217222222221221220217212207203197195191188187185195189189189187198193192192203203202204206199199211209204207204207209215212209210210210205206206206209207207208209209216210210219215214211212217217217217208208209208206204203197198200200199201198195192186186186186187187188188189190190190190186192190191192193192195198196194193191188189182182187186186185184185186182188180183182181181178178178180178184180184182177177182182182179177174172171171170171173175174169167166165166167168171173175175175175175175175173171171171172171171171170170170170168168171170170169170169170170170170169168169166168167167168169169170171172174176183184190193191183183186181180180177178179177183177174175176178175174178177175175174174174173170171174177175177178179181184179181181184186188188188192194194193191191194188189187186185184183183188185183184183179182177176179179174171171170172174176175173172172172172173174172174177178179179178180180181181181179178180181179186185184183186191192189192191193191190191192190193193192187187188184185183 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198198197196196195195196196197197198201206209208208208208207205203202203204206213215215215216217218217216213211210208208212214215215216217214213213214218215213212213213215216218218219221225228228228230230230230230230232232229227226226229229229230229230230233233234234238239241242242243245249250251251251251249248248249250249248245999999999999999999230230235229229229228228228226228229228230227227226225217210207217217217220217216204201196191193194195196198207211209207212215216215214216216215216216216215214214214212209207203200195191189187199197190193198199201193194195200200203202204205206207207208208211212213214212214210210207207211211215217218213212214213212214216216215216218217218212210208213210206204204206195199199199198194194187184186187183186187189189189189191194193193192192193191194194198199198196193192190191190183189184190188188188190185190187187189185188184179181181179186185186179178184186183183182181179174173172172173174176175172168168168170172175177178180180181179177178176175177176177177179178174174173174171172171172171171169171171172173171170170171172169168170170171172173173174175176179182184185191189183180182182178177177179178179179180179179181181177181181180177177178178176176173172173174179179180181182182178182185187189189190191194196193193194194193193190189188187185187188189187186185180183183180177179179179179172175175174175178174173175175176177179176176179178180181181184184183183181182181182182185187190192190193195196195196197199198195195197197197196194194193193193189190 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199198196196197195195195195195197201205208210208209209209208208207206204204204208216217217216215216217218217218215215214214216218220221221221220218220217218218219217217217217217219222223225228231231229231231231232232232232233232229229229229229230231231230232232232233233234236241240243243246248250251252252252252253252250246246246246999999999999999999231229229228228230230226226227226228230227228227226224217216218224226226223220216211205203198203200199207216222224209211215217222221222221219220223221216218216220222218216216213210205200197187194192189192192191205204198201206206207197210211209210208209207212215211215211211212211212213213213214215211212218209214214216218217218217216219216215210216216210206205203197196196200201196195198188185186186185188190190190190191192191192193189191194194195198198196198193191194193190191186185190189188189190192193195195195192191194190191189182181182185186185182185187188188184184183180178175173173174176174172169171171173175176179180182182182181180182179180179179179180180179178177176176176176176175176176172173174173173172171172173173171171172173173175176176174175175177179179186188181181180180182181178179183178184179180180179183181181180183183181180180183180177175173174177179179179181182179180187186187188190190193195195194196197194193192192191190190194190190189188187187182180182181179175172180179176173175175176177177177179178181181182179180181179182183184185185186183181182183184189190193192194195197198198201197199198198195196199200196196198198197198199197191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199199197197197197196196200205208211212211210210212212212212210209208207207204208216218219219217216217219219220218218216217219221223224225225224223221220219220218222224224224223224226228229230233233233232233233233232232233232232233232231230230231231231231232233234233234235237239241242244245249251253253253254254254253999999999999244240239241236236999231228229231226228226226225225223228226227228227225223216219222224225225225224221225218215210209214215217216222222218221224226223219217216217215214213212212212209210214211214212214212207210195189189193188195196196198201195205198207207207211212210210208213210210212215211215212215214213214217215215218215216217217214219219219219216215216212218211213213211207205203200198198196199195195201190186185185187189190189190190193192194193194193193194193195198199198191194190188193192191191190189189189191191195197198198198198196196195194193191191185191191188189187188190189188187185183183179174172172173171172173176177178179181182183182183184185184184184183183184183183182182182181182179182179180179180179178175176175174172172175176175173173174174174175176176175175177178179178183181180180182185186187180182183183183179178179182182181181180182184185183185184180180176174175176176178176175177178181185186187188190191192194195195196199197195194194196192191193192192190190188182182180180183176175179180180175174172176178180180180181182181183186185185184181185184186184184186183183185186190190192194196197197200197201199199198198199197197199196197199200199201201201200197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199199198197198198197198202207211212212212212213215216217217217216213210208207207214217218219220218218219220222221219217220221223224225226226226225225226226226227226225226228228228229231232233235235235235235235234234233233232232234234233232232230231233232233233233234235237237239241243245246249252253255254255255255255999999999999243241239240238234999231227227228229230226226230227223226226227227226227219217223222225227227227228228231228224222221217218223225226225227227224222217215216215214213211211216210209211213219218217216214214203204212192198200200201197204208202204204205196208196209210210212213213213210215215215216216216216216213215216217215214215216216217219215219219217219218214216215216224216212204202200199198195194194195193194188187186188187190190192193193193194194199194194192192194198198198197194194190194189191190189185185189192194193194193199198198194193195195195194191189189193192192192190191191190190187185184182178176174174174176177178178180180180181183184182185186185185185185186185185185185185183184184184183183185184184184187181179178178176177179178176176177179178177178178178178177178179178184185177178183182182190182181180184184184179179181182182181180180182184185185187185183184180177176177177177174181181177183185187187188190192192194195196195195196197196195193194195194194193193190193189184182180179184183181174181177176177179180180181181182185184184186187185181183186184185185186184182185185187194197199199200201200202202201201200195194198196196198199199199199201201200201202199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199199198198198198199202203206214213215215216217217218219219220219219216211209207211214215217219221221221220220219222221221224226227227228227227227228229229230230228227228230232232232232235237237237235237237237236236235235234234234233234234234233233233234235234232234236237238241241243245248250252254255254255255255254999999999999244243999239237999999232229233232230228227227228226225226226227225220220216217222223225228227234232233229229227227226228227227228228229227224222221221216213212210208207214219214214213214209219214216215211209198202202201199192202204206207201201203204206207208208207207210213212214215211214214216215216218217215218217216216216216217217217219218218220218217216216215216219219218211212208204199200199197195193193196187189188187187188192193193194194196198197194193194193193199198198197195192193191192191191186190190187189194196194193198194194196197196197197195191190195190196196196195196195193192188186185182180180178176176177178178180181182182182183184184185187187187186187187187187187188188186185185186185184186185184184184184183183184184183183182183183186188185184184182185181182180182181182181182182182183181179180183182185186184182179181180182183182183182185185185186185185187185180176177177178174180182183184186186187188189190192194195197196195198198197195196195198197198197192196196192187185182181185186177181183179179178184182182183183183184186186188187187186187188188188189189188186187188195197200201202202202202202203203201200199198200198198200200200199201201201204203202201 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230225222223231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203202203202200201205208208206213214217217217218219220220220218218219217214212209209212213213215220221223223222223222222223225227228231231231230229231231232233232231229229232233235234236237239238238238237237238237238238238237237237237236237236236235235234234233235234239240240244243246248250252254255256255255254253252999999999999999999999999999999999231230228232233231230225225225224224223229226219223217218221224225228231235234232231230230231231231230230230230229226223219218216214212210211208215217218211213212214219223216217215216207203211205200199195202203203200198199203203202196207209210208213213214214214211215216216217218220217221219217217216215217217218215218218219220216217218217216218218219219215211208208209203203203197193193191188186194193200200201194195195198200199198196195197195193199199198198196194190194193189190190189189193191200197197197198198196200198197197198197198197196197196197198197199199197196193191186184183183183180177177179180182182183183184184185186187189190190188190189190189189189189189190188189188188188185185187185187185187188187186186185184186187190189187188188187187185182183183182184183179182181177182183184188186185185183182181183183183182183183184185185186185187194188183179180178180178181182183184185186186188189191193193195196196196197198198197197197199200197198199198197192190188184182183182184183183180180181183184185186184185187187187189186187187189190190191189191187185187193197201200200203204203203203204201202201199200200200201201201203201202203203204204204203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228227227227227225223223226228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219222218216211208206203205208209207208211216216217217215219219220218218217218221219217213210209211213216218221220222223226227226227228230232233233234234235235235234234233232231232232235234235236237237236238237237236238238240241242241243243241241240239238238237235235235238239240242243244246248251252253254254256256253999999999999999999999999999999999999999999228228227229227226226226226225224224223221219222216216217220223223223227237236234232232233232234234233234231229227223227221220218215213209210210215215215215211210210217220214210215216207204197198201192203195197203201200202205203204205208211209208211214215215215216217219217221222223222218221218218217217219220219217218219220220218218217219219218217218222215212203209211214208201200193192190196196197197198202195193194198205200202201198198197196197197200198198196194194191194190186193190189194200201197198198198193196196199198199196197198194193192197198195196199199198198198195195189187185184183181180181182182183185184184185186188191191192192191194194193192191192193192191191191191190189188188188188189189190190191189187187188188189191190190191190189187186186185184185183183180180180179181185186185183184183184184184185185186187183185186185186186187187192187185184181180179180181182183184184185186187188190192194195196196198197198199198198198197202201199200200198196194191188186185186188186185181183186186187188186187188189188188190190188191191191191191191188188190194195200202203203203205203204204204201201200201201201201201202201204204206204206205205206205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230229228229230228227226227225230230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221222223223220215209206205206208208209211212214216215214215217220220218218217217217219221219213214211211212214216218219221222223226226229231232233234236236237237237235234234233233233232232236236237237237239237239238239239240242244246246246245246247245244243242241241238237237242240242242245247249251253253254254255257258999999999999999999999999999999999999999999999226226228227226225223224226224221219220218219218219217218220221223225226230233233234235234235234234236236230227225227226220219217222220218218211217216216217212211210212215213211210214212209204203200199203201199200206203202199203197200203211208208212213215215216216218221222224226228229223222219220220217219220220218219218219216216215212216216216217221221211219214212212202201205203201191195194197193194193198196194198196198200199201201200199199202199197199199197195194191195194195197195197203198198202198197200196195195195196194196195194197193194198198200199202199199200199196199196193189186185183183181183185184185187187186188189192193193194194196196195195195195196196196195195195194192190191190190192192193193194192192191191192192194195194195194193191191191190187186189191190184184181180180181183184185185185186187187186187186185185186187187187188188190190188187182179179181182182183184184185186186188190192194193195197197198199198198200200200202200202202202200199197197190190187191190189183187189188189190191189189189190190190191190191191193192192192191188190188192193199202203205205203201203204205203201201201202202201202201203203205206206208207207208208 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234230232232230229227230228228229231232230230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223224224224220214206206208209210212214215215214215214215217220221221218217216216217218221221218215213213214216217218218220222224226229230232234235236237238237237237234234234234233233234235237238238239239240241241240241243243245245247248249249248247249249247245244242241240240244241242245248249252252254254255255255258257257999999999999999999999999999999999999999999999999228226224222223223226220218216220216216216214215216218216226223226229232234236236239240236235237231225228226237222220219219215213211211211212212217216207211215212218215217214216203200201198197194196196196197197206198196203202202206208210211214215215216217218221224227226227227226225222221221221220218217218218220219215215214215219216216216219216217212209215210216209208207205201194194200202198195194195196196203200206200209201202204202200204203199200197196195195190192193193198194200197198200200198202201195195195195195194198196198197195195200199197200201200198198198197196195195192189188186186184186187186187188188189189193194194195195196197198198198198199199200198198198198195194193193192191192196195197197194194194195194194198196196197200197197194194192194189192191187187185182180182182185188189189190187188188189188192191189187189188188188188190190190186185183180181181183184184184185185187188190193193193195196197198199199199199200199200202203202201202204200199195192194191192189188189188190191191191192189188190190190192191192194194194192191190189189192193196201204205205201202203204203204202203203202204203201202202203204205208208208206208207205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231233233234232232230229229231232231232232232230236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227225224224224225221213210209209210212213214214213212213215217219220222220218216215217219221222220219216215214215217218219219221222224226229232233235235237238238238237235234235235236236236239240242242242241241242244243243244244246245246247250250249245246250250249248248246245244242244244245248250252254255256256256256257259259258999999999999999999999999999999999999999999999999999227227223222221219215214214214214213215215213216218216223226227229232233234240242240241240233232231229227236221220219218216214211212207206213210207208209215211220215214215214201200201205204203207211206201199206203198205211210213212215214215215214217222218226229229229227226225223221221221221220218217215217221216217218216220218217222217226229223214215214215214212209209211210208199195198199197194199204205200202207202203202205206210209203201198198200199196197194198194194195197201202205200203202198197197196201199199199201200201200201203203202197199198200199199199197197197197195192190187186187187186187187188191191193194194195195196196197198200201201201200200201202201200200198197194196195196198199199198196196197197198199198198200202203202202205199199197196194193189188187187187186187187189191189190190191191191195195194196197196192190190191194192192191189185183182182183183183184185185186188191192193195196197197198199200200202204206204202202201199203203203200198199198195194193191191191189192192194193189191191191191192194194194194194193195195195194193195196202206206206206206204205205204205205205203205205202203205205205205207205204205209206206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232233232233233232231231231232232233234233235234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229228229226225225224224221213209210211211211212213212211211213216217220221222221219218219220221221222219218217216217219219220222223224224225228230232234235237240240239238236235235237238239240239242242245245244244242245245245245245246247247248248251251249248249249251248249250250248247245244245247249252254255255256257257258258260260259999999999999999999999999999999999999999999999999999999225223220221217213210213214215213214213219213218218220224226229232233235240242243240242240239232236230224222221219218214214211212207207207207209212217219215215213213205208201202203204207207214203201201199207203207211206212213214215217217217217218223229231233233229229225223224222220221221219219219218220221218223224224225224231230230231231231220216221220220216214215211208210205206201205205200198200208207205208204208208207209211212207208206204202197198199196200200196196203204201203202202201200198201199201205203203207203203206206207206205204203200199201202199201199199199199197195189188188188188188189191191194196198197196196198199198200200201201202202202203203202203202201201198198198198198200200200199199198199200200203204201203205203206205205202199198193191192193189191191191189191192191192193195195195195196196197198197195195193193194194196194194192189187184183183183184184186187186190192192195196196196197198199199202204202204204202201201199203199202200199200198199197195192193193192192193193193193192192192193195194196197197198197197196196197196194197204206206207206206204206206207206206207206205206204205206206206206207206207207208209208 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230231230229230232233233233232233234234235234234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232231226227228225224226225223212211210210210211212212212212212213216218220221222223221219219221220220220219218217218220222223224225227226228228230232234235237239242242241240238237237238239242243244244246246247247247248248247246246246247248248248249251251249248249248249250249246250249249248248248249252252255257256258257258258259260260258999999999999999999999999999999999999999999999999999999224220217215213213212213215215212211211212213218221222225226229232233235240240240239238239236234229234228222220216214213212213211214206206208209209213212211211212210206208207208208215210207206204203203204203206212212210211210212216217217217218220225227230232232230227224222224224221221221222221221221221219225224227229222224224224223225224225220220218222220218219215216215215215208202199202207206202206206207208206206208210210211213212216213212207206204200205204204203202203203198198203204203204204206206208204206207207207208207206207203202200204203201202202201200201202200199198195193189188187189189189191193196198198198197197199200201201201203204203204205205204204203202202201200200199200198200201201201200199200201201202203202205201204203204206201198197196195196193194193193193193193194195196197198196198198198199200200201199198197197198197197198195194193192186185185185186186186186188190191193195196197198198199199201202203202204205203202201201201202203204199200201200197195195196196194193194194194193193193193194194197198198198198197197198197197198198199199204207206209207208209207207208208208208209209206207208207207208208208209208209210209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233231231230227226228229231233234234235236234233233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232231230230228228224224226224220213211211211211212212212213213213213215217219222222223224222220221219221219218218219219220223224226228229229229230231232235239241242244243243243243243243244244244246247247248249248249248250250249248248248248248249251251251252250249249249249250250248249250251251250251253254254255257258258258259259260260259259999999999999999999999999999999999999999999999999999999999223217214213213214213209210211209216216213213217219222226232234235237237241243242241241237235229227223218218215214210210209209208208205206206205204210205207207205205204206204203204201204202204204205204205209209204205208211211213217219221221224228230232232231228226223223226224221221223223223225225216218224223224226232226224223223225223217223219219221218220223220219218218222220211204208201208204203207208207208208211213215215218218218217215213209214205205209208201201205205205202203210211210208211209211210211212215215215210209210207206204205204203202202202202202202200200199197194190188188190188189191194197198198197198197200200202202203204204205205207208207207204203204202201202201201200201199199199199199201204203204203201200204206203205203203200199201199199200199196198196196197198199200200200200200199201202203202203202200200201200201200200199198198194191188187186186186186187188190193194196197198199200200198200201201203204205205203204203203204203203200201200199199198197198195195194195196195194195195195195197199200201202202199201201200197198199197199200205206210208209209208209209210210210208210209210211210210212211211207209211211211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234236236236235234232228225223224227228232234234234235229231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230232231230230229228228228226223224222217213213213215215215216216216215213212214215216218221222224225223221220221222220221220219219222225228232232230231233235237239242243244246244245245245245246246247247249248249249249250249251251250251251252251251251252253252253252251250250249250251250250250250252251253253254254257257258258258258259260259259259259999999999999999999999999999999999999999999999999999999999224223222223213215212213210210211211213214214223220223226231235236236238241240239241238237236231229223218217214213211210209209208208208209207207206205204200202204206202202202204206206202204205206208206204207209213209208210212212217218219225228231231231230228223226226226225220219217219223223222226226219224228224227227227226222221225218220223220218218221220224226224220218222222216213210209206205205209209208209212217216216221218218217217215215211214211209210213213210212206212211213214212208213213216215216216214217216215216212210207208206204204203204203203203204204202201200197194190189190190189189191195196198199198198198200202203203205204206207206207209210208207205205203203203203203202202200198199200201201205204201199201203205205204205201202201204203201200202201202199199199200201202201201202203205203205205206205204203203202202202203201201200199199196191189188186186186186184186190193195196198199201201200201201202203204207206205204206205204204201201200200203202201200199196195195195195197195196197197197198200202203204202205205204203202200198198197199202205208208209210210211211212211211210209210211212214214213213211212214210211211210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234234233234234236236234231227224221223225227230233233233230232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235233232230228230230229229226227226227226224223220217214215215217219219221220220221219216214215215217220222224225225224221221223221221221221221223226230233235234234237239240241243245246245244246246247247248248249248249249249250250252251251252253253253253252252252253254254254253252252251252252252251251251251252252253254256257258258258258258258259260259260999999999999999999999999999999999999999999999999999999999999999999222222226225217215213213213213213214214215217223224227232234235239241241240239238240236235232227223218217215214213210209209209208210206207210207202202205205206210204207207214209208206206208208207203202207202204205212210212216217217219224228231232231230228225227225225225227222219222224227225227228229225225223224224223227227226226226220220225221220220222222223224223221218221219217212212208207209208210208212216219218217218218217217218217216218215215215212212214211210214211213215217214213217216218217216216213216212213211213206207209207205205204204204204203203204203201200198195191193191192192191193196198198198198198197200204205205205207208209209211211209208208208206206206204204204203203203201201204203205203202199198203203204204203204202202202204204206204203203203200202201202203204204205206208209207207207207207208206205205204204204202201202201199199194192190190189188187187187191193196197199200201201201202201205204207207207205206207206208205202202202202201202201201199199198195196196196196196198200201201201203201202205207207206206206205202200198200204206207208208209210213213212212212211210211214215215216216216215214213212211212215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237236233232232232233233233232229226224222223224225228231232232999999999999999999999999999999999999999999999999999999999999999999999999999999232234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234233233229230227228228230229229225225226226226223221218215214215218219221222223223223223221222221220219220220223224225226224225224224223222222223224226229231234236237238239241243244246247247248248246248249250249249248248249250252251251252252253253254255255254253254254254254255254254253254254255255255255254254254254254255257258259259259258258258258259260260261259258999999999999999999999999999999999999999999999999999999999999228222225220218214221223220218218214217218219223224227232235238239239240238238238238237237234230229222220215214211212211211211209209210209208205205211207207213207206205202205205207207208207207206206204209209210211211213216217217218219223227227231230228229228229226226224224222225227229230227228229230231229225224228230227224224227226220221222222219219219222222225226223220221219218216214211209209210213214217221220222220220222223218218218215220219217217217217215218215217220220222219220219220221222221221220220220219217216216214213210206203205204205205205203203203202201200198197194194194193193192192195196196198199199197200203206207207207209211211212211211211209209207207206206206205205204205203204203204203202199199202203203203203203203201201201203204205206205208202202202204206205206207208208209209208208207209208208208207207206206205204203201201202201198194193191191190188188189191192195197198199201203205205205205205208206206209208209209209206204204205204203202201199198199198196195197198197198199201202201203204204205207206206206208208209205204202201204206209209209209211212214212212212212212212213213215216217218216214214214213216214 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237236235233232232231231230229229227225223222223224225227227231999999999999999999999999999999999999999999999999999999233232235230233232232234239230231241239999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235235233228227226226226228228229227224225225227226219215215215217220222224225226226227227227226225224223222221224226226227227226226225224223223224226229232233235238239240242244246247247249247249249248247248249248248248249249250251252252254254254254255256255255255255255255255255255256255255256257257257257257258258257258258259260259260259258258258257259259260260260259257999999999999999999999999999999999999999999999999999999999223224221219217214214218220216215219218220223225228229231234237240242241239238238238239237238233226222220216216214211212210209208207207206204203203206207206206206205203202200204201203207207206206206207209209210210209212211218218217221223226227228229228227228225225225225225225227228229233231231231229228231226222229229232230225227223223223221218220220221221223224228225221220219218218216214211210212216217219223221222220221220221220218221219220220220220220221221221222224225225224224223221222223223224222220219219219219218217217214211205202204204204204206204204203202202200200199197196195195196194194194196197198198198197200203205207208208209210212213213213213211211211212209208206207205206204202205204204203202200202202201202202202203200200202203204206205205205204205205206208208207208208208209209208206207206207208207207208209209208207206206204202201199198197195193192191190190190192192195198200198202204205205206206208206206207207206207209209209208208207207204203202203202200199198197198199199200200202202203203205206204206207208208211210210208208206203204207209208209210211212214212212212212212212212213215216216217218218218216218219218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238237236235232232232231231229228227227225224223223224225228230231230999999999999999999999999999999999999999999999236232233233233233233234235234234234234236241999243244999999999999999999999999999999999999999999999999999999999999999999999999999999233233233234230227226226226226227227228227225224225227227218214215216220223225228230230231230231231231231230229228225226227227228228228228229227225226228230233235237239240244245245246247249248247248249249249249248248248248249249249250251250253253254254255256256257256256255256255256256255256256256258258258258258259259259259259259260261261260260259258257257258259259261260258257999999999999999999999999999999999999999999999999999999999220224221219217212214215216217216220220224225226230231230232236238238240240239239237240242242240233229220220218215211209212210211209207206204203203204204204205205206206204203203203206209209210209209209210211211210211215218219219228220222224225227229226226226225224225225225225227231233235233232233233233231223228229228229229230225222223224224220224222221222222224225225224223223220220217213217218216220220222222223222222222223224222222221223222223222224223224225224226227228226225226225224224224224223222220220220219219217218218214210205203204203203204205205204204203203202201200199198198197196195194195197198199199199198199203204206206208208211212213213212212212212213213212211209208206204204203203202203201201201201200200201202202203204203203204203205204204205205206209209210209209209207208208209207205205206205204204205207208209208208207205203203202201199198196194194193192191191192193194198200199203205206206206207206208207207207209206210209210213211211209208206205204203200200199199200201199200201203204205205206203206208209210208209209209208208207206205206207208208209210211212211211212212213213214214215214215218218219220221220221221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237236235234232232231232230230229229227226222223223224225228999999999999999999999999999999999999999999999230231230232234235235234233233233234235235235236237237239242242241245999247999999999999999999999999999999999999999999999999999999999999999999999232232230227226226226225226226228229229226224226227227221217216221225225229232232233233234233233233233232232230230228228229228230232234234232229229232234236238240241244246246247247250248248249249250251249249248248248250250249250249250251252251254255255256256256257257256256256255256256256257257257258258259259260260260260260259261261261260260258258258257258259260261258260258999999999999999999999999999999999999999999999999999999999999220224224217216224221217217220220222224223227230230228232235237239239241242240238238238238238235229228225223222218213213215217215211209206205206206207208206205205207205205210210209210210214212212212214213212214220220223223221223223224224228225226224224224224225225225225226229232234236231231230229232232229229229229229229231223226230228228226226224223222224223224225225222221220219219217219219218220222221223224223223223223224224224225224225225226227227226226226226228228227226226226226225224224223220221220220219220219214215214210204202205203203204205206205205206205204204204202202201199198196197198197199199199199200198201203206209210211212212212213213211211212212212212210208207206205204202202202201200200200199200200200201202201202204203204204205204205206207208210211211209208208208209209209206205205203202202203205205206207208209208206205204203202201198197196196193192192193196194196195195200202203206206205206209208207207207209208210207208209210211211210209207204205203203202200202202200202203205205206204206205207209210209208209209209211210210208205205208207206207209212211211211211212213214215216215216215215214215216218219221221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236235234233233232232233231231231229228227224222222224224225999226999999999999999999999999999999999227228230228229231233233232231230230230231233234234235236236240241240239239237238999999999999999999999999999999999999999999999999999999999999999999232233230226228227227226226226226228228228227226226227227222217221225227229231233233235235235234235235235234234232231231230231230233236237238237234232233235236238242243245247248248247249248249249250250251252252253251251250252253252251250252253253254254255256256256256257257257256256256256256258258258258257258259260261261261260260262261260259259258258258258258259259261261260258999999999999999999999999999999999999999999999999999999999221226220225216216225219220220221221222222224228230228232229233235239241241242243242241240243242241238234230225223216214211214216214215210206206207205206206205205204205210210211211210208211215214216216214214217219219221225222222228228225224228225227224223225226223226225230231229233235231231230229229230230230229230230229223224233228232230226228227226225226224226226225225224222219218218220218219221222223223223224226226227226226225226227227227229228227229230227228227228228228229227225228227224224223220221221221221221221219219215210205202203203204204206207205205207209208207207208208207205201201200200199201198199199198199200202206207210211212212212213212211212211212211210208207205204204204203203202201199199199200200201200200200201202203202202204204205207213211210212212213210212211210210209211208206206205202203203204204205207207208208207206206205206203199198199195194194194196197194195197195201201203206206204206208208209209208209208208207207210209209210211211212211208207205205203203203202204203206206206206207205207209208209209210210212212211209207207207207207206207209210209209209209210212213215216216216216214214215216216217219219 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235234234234233233233235233232231230228225223220219220222223225226229233231999999999999999227226226226226228227228231231232229227226226226228230230231232234237239239240240240239240246999999999999999999999999999999999999999999999999999999999999237231232228225227227227226226225226227227227226226226227223219222225227229232235235236239238237236237237236236235234232233232233233236237239240240239235233236237237241245247247246246249250250250251252252253252253252250250251253250251252252253254254254255256256256256257257258257257257256256256257258258257257258259260261261261261260261261260260259259258259258259260261261261261999999999999999999999999999999999999999999999999999999999222224226226226225224225226219218220220222223226228227229228227229232238241241243243243242242241240242241238235233230222216215214218214214212211206207206207207206207206205206209209208208210213218221220218221220220220218219223225226226227226224228228229227225229229224226226228229230234231232232230229229230230229230226225230225229229228232233231230229228227227227225225225224221222220220220219220220222224225225226228228230231231230228229231231231232232232232230228231229228227228231226226228227226225223223223219222221222221221217215208205203204204204205206207207208207208208210210210210210209207205205204203202200199198197197199203205207209212212212211212212211211212213209208208206205205203203201203202200198200199202200200200199200201202202203204204205207210213210211212213213212214213211210211211209206204205205204205204204205206207208208208208207205205204201199198197198196195197194195197197199201201203207205207207207208208208208208209206211212212211211211213213214214212212210208206205203204204206207207207206207208207209209210211211211211210210211209208207207207206207207208208208208209210211211212212216216214215216216216215217219219 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235235234234234234235234236235234231229224221218217216217219222225226228231999999999999999229227227227227224226228230230230228228226225226224225225225226228231234236237239239239239241246999999999999999999999999999999999999999999999999999999999999234234233229225226227226226225226226227227226227226226226223224225225229231233235236238239239238237238238237237236235234233233235236238240242242241241240238238238239243245248248247247249250251252254253252253253252253252252251252253251253254254254254255256256256256256256257258258257257257256257256257256256257258260260261260261261261260260260260259259259259259259259261262261999999999999999999999999999999999999999999999999999999999999222222227226227225218221221218220220219222224225226229228227227228228235241242242241242242244243242242241240238236232228225219218220218217218218214212211212214214211211212210212212214215213215222223223221224226224227225226226226231226227223226227227225226228227225228227228231232232229232230229229229229230230231231227227231226230230230231232233233228227229229229229226225224224222221222222220220222224224226226227229232233232235234234234231234234235235235235236234234231233232231228230230228228227225224221223222221222221219221219215211209208210208207208207208209209209209210211212212212210212212211208207205204203200199199199201202205207208210210210212212214217213213210209208207206206205204203203202201200199199199200200199199200200200201202204204205207211213213212212211213215215215213213212210209208207206206205205203204204206208211207208209209208207206204202200199198198198197198198198199198196201201203204207208208208210208211212210207208211213213213214213214215217217217215213212212209206206206207207208207207208207207209209210211210210210212212210210209208208208208207207208208208208209209209209212210213214215215217217218217217218220 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238237235999999999999999236999999237235235235235235234234233235237238236233231228225222224218215216219222226228232999999999999999228227227226226226226228229229226227228227227223223222221220221221223226229232235236236237237240999999999999999999999999999999999999999999999999999999999999999999999232232226224227227226227226226227227228227226225224226226225227230232234236237238239238239238238238238238237236236236235236238241242243244244244243242242243244245246248249246249250252252252253253252253252252252252253252254252253254254254254255255256256256256258258258258258258257256255256256255256257257257259259261261261261261261261260260262258258259259260260261260260999999999999999999999999999999999999999999999999999999999999224225226222221221221221220221220220221221224223223226228229228230235237234238240241240241244244243242241242241239232230232229229227226225225225223222223220226224219220221221220220222223223225223224225224228228231231229231229229230229229225229228228230228227227227228229229233233232232229230229229230231230232232232231231231227230230227230233233232233230229231230230227226224223222221221222220221222223225226227229230231233234235234234235235235236235236237235236237235234233233230231231232230228227226225222222222222220220221221220221215213212214212211211211210211212214214215216216216215214214214214213208206205205204203202202203204205206208210212212213213214217215212211209208208206205205204204203202202201201201200202203200201201201202202204205205207211213211212212212212212216217216214214214212210209209206204205205205205206207209210211210212211211206206208205203203200200199199199199197198199200200202202205207208208210210210210210209208211213213214214216216217217219218218217217219215213210208207207208210208209210208207209211210211212212211213214212212211211210210209208208208208209209209210209210211212213215215215216217216215216222224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238238238237999999238238236237237236236235235235235237234236236235237234232232229224222220218217213216223226229999999999999999225227228229228227226226227227226223226229229228226223222219218217216217222225229231232233234238247999999999999999999999999999999999999999999999999999999999999999999999999999227225223228226227227226228228226224224224225226226226228231235238237238239238240239239239238238237237236236235236238240242241244244244244245245244244246247247248250248249250252253253254252251251253252254252254254255254254254255255255256257254259257259258256260259259258257257256256257256256257257257258260261261261262262261261261260259259259259260260260260260259999999999999999999999999999999999999999999999999999999999227223222222222221220219220222223223224224223223225224224226228229228229233235237240240240243244244244242242242238238237234232230233231230229228228228228234234235231231229229229229231231231232233232233232232232234234233230234234232232232232231231230229231230229230228230231232232233230231230229229230230231233230231232232233234227232231232233233234234232231234233232229227225223222222221222222220222223223225227226229229230231234234237235236237238237237238239238239238238237235235232233232232232230228226226224224222222222221222221222225221220222222220218218217218218218219219219220220220221221221220220221215212209206206205205204206205205207208211211212214214215218214212213211208208207205205204203203202202202202202203203203204202202202203204205206204211213213213213213215213212213215216215214215214212209208206206206205204206207209212211212212212212210207207208208205204202201202201201202199201202203201202203204206210208211209210212207210210213215216214215216217217220221220220220220220219216215212211210210210209210210209211211213211213213212211213214213212213213211212211210210210210211210210211210210212213213215216216217217216217218222225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245240239239239238238242239237238238237236236235232237234235236234235237239236231228224221216215213210219999999999999999221223224226228230232233232232232231230228226228228228231228226222220217216214215218221225227228230236246999999999999999999999999999999999999999999999999999999999999999999999999999999999224223224226227228228227226222222223225225225225227231235235236237238238239240239239239238237237237236236236238239241243243244245245242245245246247246246247249251250249250251251253255253253254254253252254255256255254255255256257256257258258258259258258260260260259259258257256256257257257257258257259260261262262263262262261261261261260260261261261260260258999999999999999999999999999999999999999999999999999999999227228227224224222222220219222224225224225224224222222222224226228229226227233237234240240240243244243242242242239239239239238236234233233236236235235234231231237237237237237236235236236237237236236237237236237237236237234234234236236234234235233233233232230229230229230233233235235233232233233231229234233234234236236236236236236230231233234234235234233234232237235234229227226225224224224223223222223223224224225227228229230231232234233235236237239237240241243244244244243241239239238236234233234234233230226225225224224224222223220225222218219221222225224224226228228228229228228227227230229228227226224223220215213210209208209209207207207207209212212213215217216219217211213212209208206206204204203203203202202203203204203202202203203203204204206207207211213213215215215216214214214213215216216214215214213210209208206206205206209210210211210209211212209208208209208205205203203203204205205203202203201202202202203204208209211209212211213212212215216215215215216217220221221221222221222223223222220217216215211211210211210211213213214213214214214214213214215215215214214213212212212212212212212212213212213214213215216216216217216217218221224225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238239239240240239239239239238238240238237237236235233236232236238238234236235237232229224221216215215220999999999999999999222225227230233235236236237237237235233231230231230229227225222220217215213212212215218222224227231236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221227227228228227225221222224224225225225229235236235235237237237238239240240239238238237236236235236238241243243242244244244244245246246246246245248248248250250250250250252255254255253254253253254255256255254255255256257259257257257258259261262261260261260260260258258256257258257258258258258259259262263263263263262261261261260261262261262261261258999999999999999999999999999999999999999999999999999999231230230229228226225225222223224225225224224222223223224224223224225228223223224232229236239239240240242242243242239239240240240240239238237237236239239239234234236236236237237239240240240239239240241240241240240240240239238238237236236239236236235235234234230230233232232234234235234233233234233234234236236234236235237238236237236236234235235236236235234231232234237237235233230228228227229227225225223225226226227228228228228229231231232232234235238240244243243242243242242241241240241238238235233234235230228228226226225226223226225226222223227224227230229229233233234235234234235233234233234233232228227225223219216214213212210210210208208209210212213215216218216218215214213212209208207206205205205204202202201202204203203203203204204204205207207210212211213213216217217217214214214214215214215215216215215211209209207206206207209210210209210209210211211209209209207205205204205205205206204203203202202202201202204205206209209212212212213213213217215215216216218221222222222221223223223224224222222221219218216215213211212211213214215215215214214215214216216216215216215214214214214214214214214213214214215214216216217218218219217219221222225228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237241241240240239239238238238237238238237237236237237236231234234233234237234233234229225224217218219220219224224225225225227230233235236237238238239239238239238233230230229228230229228223219216213210211214217220223226232234239234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223227228228227223220222223224225225228232236236236238238238238238239240240239238238238238236237237240241242241243243244243244245245246246245244247246248247249250250251253254254255255254254254255255253255256254255259257256256258259262262261261260260260259260261260259258257258258258258258258259261262263263263263263263262262260260262262262261260999999999999999999999999999999999999999999999999999999999233233231230229229228226226224225224224225224223222223222224222221220221224224228230230233237239239240241241243240243240240241241240240239239239239238237237237237238237238239238242241241242240240242242241241240242242241240240240239240240239239238235237237235232232233234233235235235235234235235235236236236236236237236236235237238238237238238238238239237237232233237233233237237230230232232232228228227225225227226227228228227227230232233232233235238240242246248250249248247248247247245245246245241239235234232232230228228228229228226224221225226227234231233234234234234236237238238238237238236236234234231231228225223220217215215215212210210210210210213215217217217217218216214213212209208207207206206206205203205203203204204204204205205205206207209209213212212214215217217217213215213214213213212213214216217216213211211210207208208209210208208207207209210209209209207206205208207207205205206206204204204203203204204204205206209209209211211213211213214215217217219221223222223222222224224224224223223223220222221218219217216217216216216216215216215215216215215215216216216215215215215216215215214214215215216215216217217220220219219220221222225228230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244242238240240241239239239237239236235235236234235233237238239241232232232234233232229228226223220220223224225226228229228229231232233234236238238239240240240239237237236234234233231231228223220220217213212213216219223227232234230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225226225221220220224225224226230234236236237237237238239239239240239238238240236237238238241239242240244242243242244243244244246246244245247247247247249250250250254255255255254256255256255255255256255254258256256258259259262263261261260260260260259261262262260260259258259260259259259260262263264264264263263264263262262262263262262260999999999999999999999999999999999999999999999999999999999232235233233230229231230227226224225224224225224224224223222222221222222223222223226230230233236238239240241242244241243241242241240240240241240241240239239238239238238238238239239241241240241240241241242242241241242241242241241241241241240240239239237240238236235234235235235236236236234236234235235237236237237237236236235236239239239239239239239239239238234234234233237238238238237237236235235229228229227228227227228228228228228230232233235235235237240243247252254253251250249250249246248248248245245244239236235232230232232231229227226228228233232232234235236236235236237238238239238239239238237236236234233231230227225223221220220215214213212212213215216217218219219219217216214211210209208208207206206206205203203204204204204205205206207208209211211213213214215216216217215213212213213213214213212213216218218218216212210209209209207208208208207210210210210210208207207205207205207208207206207205203204204205205206207205205207209209212213214211213214216218220222223224224223222222223224223224223223222223222222222223223222220220218219220218219218219218217216216216215217217216216216214216216215216215215217218216218219220221221220222223225226231230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246243243239240239240240240240239239237236235233237238241240241238231229231233229227228227225222222223225226228228229229230231231233234236238239239239239239238239238237235234232229229228226223222220215211213215218222227230243999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225223223221220221224224224226230235238237238239237238238239238238239239241239237238241241240240240237238243244242244245245245246246245247247247248248249250249250253255256256255256257257256255255256255255255257257258259260261262262262261261261261261262262262261261260260260261259260260261263263264265265263263263263263262262261261261260999999999999999999999999999999999999999999999999999999999233234233233233232231231230226225225225224223224223224224222221221222222221221223226229232232236237239240240241244241241241242241241241241241241241241240239241240237238238240241239242241241243242240243243243242241241242242242242241241241240240239239241239237240237236238238237238238236235237235237237239239240239239238238240240239240240238242241242242242241236236238241241241240240240240239235233234233232231229229228228229229229232232233234235236236238241243247253255256255253252252251250249249248248248248245242240236236234234233232230230231231231238234235237236237236238239240240239239239238239237237236234232231231229228226224224221219217215215215216218218218219220219219218217215211211210209208208207206206206206205206206205205206206207208210210211212212213215216217216215213212212213213214214212212213215218218218219214212210209210210209211211210209209210208208209209208208208208208209208208208206205206205207208208207207207209210213212212212213215216218220222224224224225224223221221222222223223223224224224223223224226224224223221221222222221222222221221218217218217217218217217216216215217217220219220221220220221222223222221222223225227228231233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247245243243242239241241240240239239236235234232237239233241241240238234229230228229229225224223222223226227228227227229231231232233234234237237238238238237237238237236234232230229229228227225223221219213213214215219226999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220222221221223224223225226229234239239239239238237237237237238239241239238238241241241240241241241242242244244246247247247247247246247247248248249249248249251254256256256255257256257256257255256257256257258258259259260262262264263262262261261261262262262262261261260259261261261262262263264265265264263263263262263263261262261261999999999999999999999999999999999999999999999999999999999999233234233233235234233231230229225225225224225225224224223223223223225222222222223224228231232234237237239241240241242243243244243243243243243243242245244243243242241240240244245242243243243243245243243243241242242243243242243243242242242242240240241241239240240241241241239239239237237237237238240241240240241241240240240242242243244244244245244245242243243245247247247246245244243243243243239235235237233234233231230229228229230233233234234235235238238242244246252252257257256253250251248250250245249244245244245244241238239236235235233234235236236237236236237237237239240240241241240239239239239238238238236234232233230230229227224224222220218217217218219219221221221219219219218216212211210210209209208207206206206207207205205205206208209211211211212212213213214216216216215215214214215213212212213214215216217219220219217214211209209210209211211211211210209209208209208208208209209210209209208208207205207207207207207206208209209209211211212213214216219221223224224225225224223223222222223223223223223225224224224225226226226225223226224224225225224223223223223222220219218218219218219218218218217218220219222220221222221222222222224225227229230232235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244246244244237239239239239237237236236234240233234233242241240239236233231230232230227222220216219226227228228227229230230231232233234236237237238239238237237238237235232231231229228229227225222220216213213213220225999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222220221221224225224225225227233238240239241239238237236238239241239239237239239239239240242241240239243245246246247247248249248248248248248249248249250250253255256256257257257257257257257256256257256257258258259259261262262262263263262262262263263263262262262261261261261263262263265265265266264264263263264264264263263263263261999999999999999999999999999999999999999999999999244245245999232235235234234234233231231229227225225224225226226225226226225223223222222221223225225228229231235238240241241240243244245244244244244245244244244243245245244242242241242242243244242242242245243243242241241242243243243246245243243244244243243242241238240240242241239241241244240238239239237243241241241243243243243244245246246246247247248248248249249249249250251251251249248248247245245246247247241236236234237236235234232229231232234235238238238238240244245246252258258258257256255254249251251253253251252251252249248245242241240238236237240242240240239239237240241242241241241241240239238238238239238237237235234233233231231229228227224221220219220220219220222222222221220220219217215215212211210210209208208208208208208207207208209210211212212212212212213213214216217216216215214214213214213214215215215216217219220221220220213210209208209210210211210208208208207207209209208209209209210208209209209207207207207208207206206207209210211212213213216218220223225224224225224224223224224224224224225224224225225225226226229228227226226226227226226226226225225226225224223222222220220221220219222220221222220220220221222222222222222224226228230230232235236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249244250247248241239240237238237243243243242234233242242239239238235234233233231227222217214219224225226228229229230230231231233234235236236237237238237237238237234233232231230228228226225225223220218215215220224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217218220223225225225225226230235241239240240238239238238239241239239239238239240239242241241241242244245247246248249249250249249249250249249249249249251255256256257257258257257257257258257257257257258258259259261262263263263263264263264263264264263262262262262262262263263263265265264265265264999263264264263263263263263262261999999999999999999999999999999999999999999999246247245243241235236235235235235233232231229231229228227226225227227226225225224224223224224223224227226228230232237239241241241243244243244244244244245245245245245244243243242243241245244244244242242242243242242241242242243243242245245242245245244244244243241242240241241245243244242242243241240240242242242243242243244245246247248248247247246249248248249249249249249248248249249251250249248248247246246244245245245238237237235236235234236234234235238240239240240241243246246251258259258258257257257254255253253254254253253253252252251250247245243244245245244243241241241241242243243243243243242242241242241244242241239237236236234234231232231229227224222221221222224224222222222222221220219219219217215212212211211210210210209209209209210210209211211211212212212212213213214215215216216215216215214213214214215215216216217217218220221221221219213211208208210208208209208207207207208209208209209209209209209209210209208208207209208208208207208210210211213214216218221223224223224225225224225225225225226227226226226225227225225224224227228227228227227228227228227227226227227227227227227224223223222223221222223223223222221221222222223223222224225227230231232233235236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253252250246246246246999239239243244246235234243243241240239237236235234232229225222221221222224223226228229231232231232232234236237237237237237237236237236235233231231230229226225225226225222219216214220999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220219220223225226225226226227232240241239238240240239239239239239237238239241239241244244243244244247246246247248248249249249249249250250249249249251253256257257257257257257256256256257257257258257258258259260262263263263264264264265265264264263262262262262262262263263264265265265265265265999999263263264263263263263263262999999999999999999999999999999999999999999999248249247245241239237237234234236237237235234233232231231230228227226226226225223222224223225226227226228228228230230234239240242243243243244244243243243244245245246245244242243243243246247246245245242239240243243245244245245243243243243246244245247246246244243246243243245243244244243243242244240240241242243243244244244246247247246246247247247247247246246249250246246249248247247247247248247247246247246245244244243244242244245236237238240241240239241240241242242243243243246247249258258258258258258257257255254254252253252253254253254249250244246247244242242245244242243243244244244244244244245245244246244244244246243242240239238236234233232232229228226224223224224224226225224223224222220220220220219215216213212212211211210211211211210211211210210211212211211213212213214214214215215215215215213214214216215216216216216217217219219221221221220218214211208209210209209209209208209209208208208210210208209209210209209208208209209208209208208210209211212215217219221224225226226226225226226225225225226227228227226227226227226225225226227227227228229229229228229228227228228228230229229226227225225224222221223225225223223222222223223224224226227229230232233234236237238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243243247247245244243244245244242240240239238236232231229226223226226225225226227230231232234234235236237238238237237237237238236235234233232232231229227225225225223220217216218226227230999231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223223223225225226227226226231239241241239240240240240240240239239236240242238241243244245245245246246247248248248248248248248249249250250250250251254256257258257257257257256256256257257258257257258259260262263263263264264264265265266266266265264263263263263263264265265266265265266265264999999999263263263262262263263999999999999999999999999999999999999999999999999246248247243239236235235236236238238237235236234233233232231230228227227228225224224225225227228230228228228229228229231234237240242241242243244244244243243244245245245244246246246246248247246245246246243243244244245246246246244244243245245247246246243243243242243246245246245245244244245246243242242242242244244245244245247247246246247247248249250249249247248248248246248248246247246246248245245246246245245244245244245245243243243245242242242241241241241242244244244244244245247251257258258257258257258258259259253252254252254251250250250249249248246244246244245245244244244245245245244246245245244246245245245245247245244243241238236234234233233231229227226226226225225225225223224224224222221221221221220218217214213213211212212213213213212212212212213212212212213213213213214215214215214215215215216215216216216217217217218220219220220221222221221218214211210210209209209211208209211211209208209208208209209209209209210209208208208210207209210210212213216220223224226226227227228227226226226225225226227226227227227227227225225225226227227227228228228229229228228229230231231230231230229229228226225224223225225227224224224222224225225224226229231232234235236238240239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245248247247246246246243242242242243239239238237237233234232232231230228228229229231233233234235237237237237238238237237237236235232233235234232230230228226224223223220217222226229230999999999999999999252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224226226225225225226226232238240241241241241242241240240239239235239239239240242243244245245245246246247247247248248249249249249249249249250253255258258257256258258257256256257257258257258258259259261263263263263264265265265266266266266266266265264264264264265265265266266266266266264999999263263262261262261999999999999999999999999999999999999999999999999999999246247246239236234234236238238237237236235234233233233232231231230228227226227226226226229228228229228229227226228229231234236237239242242242243244244243243243243243242242248242245249246246245244243244244245245245245245246246245245245245245246243242242243245245246247245245245247248248247247247245243244245245246246247247247248248247248251250251250251250249249249246247246246246247246245246246245246248247244246245245245245244245244246245246244242243242243244244244246245245243247250257258257258258258259257257259258259254254251251251252251250251251250251249245245244244245245246246244245246245246247247245246247247249247247247246242239236235234233232232229228227227227227227225225225225224222223222222222221220219215215215215214215215216214214214215215216216214214213214213214215216215215214215215216216216217217218218218219219220220221221221223224223221218213211210210209209211208211209210210210208208209208209209209208209209208208208208208211210212212213218223225225226227227229228227226226226226226225226226227227227227227226224225226227228228228229228230228229232233232231231230231231231230230229226226225226228227225225225224226226226227229231233235237237239239238238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245248246247247247247244245244244244242240240240241999999239238238236235234233232232233235236237237237236236237238237238238237236235235236235234233231229229227225224220216220225227227229239999235236240244254248247999243244999999999999999999999999999999999999999999999999999999999999999999999999999228227228227227230232233238239243243244243242243240241238237236237239240240242242242244245245246246247247246249249249249249248248249250251254258258258258258258257257257257257258258257258259259261262263263263264264265265266266266267266266266265265266265265265266266266266266266265263999264263263262261999999999999999999999999999999999999999999999999999999999999999246243238237235235236238238238236236235234234233233234233231231230229228230229228230231229229229227226226229230231232233236236237239240241241244245244244244244242247248249250248249248248248245243243244246246245246245246246246245244244244244244243243244246246245245246245249250249250248248248247247246246246248249248248249249249249250250249250251252252250250249246246247246247246247247248247246248246245247245246245244245246246246246247247245244244244243243245244245246246245245249256258257257257258259258256258258258254256255257252255255253252249250253251250247246246249246247247246246245247247248249248248247250250247249249249246243240237236235235232230228228228228227227226226228228225225225223224224223222221220220220216215215218218218217217217217218218217214214215215216216216216216216216216217217218219220219219219220220221222222223224225226225225221218213211210210209209208211208210210209210208208208208208209209208208208208207210209212210212212216221225226227228230231228229228227228228227227227227226226227227227227226226226228228229228228229229230232232232233232230231231232232230230231231231228227227227226226226225226226227228229231232234236238242243242240237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244246248245245246246245246247243241242241999999999999999240240239237236236237239238237241239239239239238238238237237237237235236237238238237234232231229229230226222218221226227227230234234234237242240242246248246249246999999999999999999999999999999999999999999999999999999999999999999999999999999229229228228231233231238242243244245244243243243240238238236237239241241241242242244244245246247247248249249249248249249249249250252254258259258259258259258258258257257258259258258259260261263263263264263264264265265266266266266266266267266266266266266266266266266266265265265264264264263262262999999999999999999999999999999999999999999999999999999999999999999243239237237237236238239239238237237236235234234234234234233233233231231231232231232232229227227226229230230230231231233235236235239239241242243244244246247244249248249252249248249249247247246247245248248248248245245245245245245244243244246246246248248248248248249249248249249248249248251248250250249249250251251252252252252251251252251252253252251251250249248246246247247247246247250250250248248246247247247247245245244246246245247247248248247246245247245246246245247246246246247254258256257256257257257257258259257256258257259257258255256256253253256254251251250249253249248249247246246246248248249249249249248249250250250250248245244240238237235234231229229228228228227227229230230229225225227226225226225224220223219219218221220220219219220219220220220219218216216216217217217217217217217218219219221221221222222221221222224224224225225226227226226226222218215213212211210210210210210210209208208208207207208208208207208208208209209212212212212214219222226227227227229229230230229228229229229229229228228227227227227228228227227227228228228228230231231231232232232233233231231231232231231232231231230229228228227226226227228227228229232233233235236238243240240241238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256252249246246246246247252248248245244999999999999999999999999999241240241240241243243242242242242243241240239237236236237237235236238239239237235232234233230230228225222223224229228229232233236239242242243244244246247246999999999999999999999999999999999999999999999999999999999999999999999999999999999229229227232235238241243244246246246246244243241240238238237239241242243244244244245246247248248249250250251250250250250251253255257257259259258259259258258258258257258258259259259260262263263263264264263264264265265266266266265265265265265265266266266266266264264265264264264264264264263261999999999999999999999999999999999999999999999999999999999999999999237237236236237239239238239237237237235235234233233233233234234235234234232233231230231228228230230230231229230230232233235236237238239240243243248248247248249251253251251251250249248248248247247245245244246246245246245244245246246246246248248249249250249253252250252251251251250250249251252252250250251253254253248252254255252253252251253253252252251250249248248247248248247248247249249248248244247247247247246247245247246246246246246248248248248248247247246247247246247247247250255258259259259257257258257257258257259259261263262259258260256255254259258257254253252255251250249247247247247248249250251251251249250253251251252250248246244240238238235233230229230229228228228229228231230227225227227228228229226224225220220220220221222221220221220220220221220220219219219219219220220220221220221223223224224224224224223223224226227228229227228228227227227226222217214214213211211210209210210209209209207207207207207208208209209209209211212212212213216221224226227229229230231232232230230230230231230230230230229228229229229228228227227229228228230232232230231231230231233233232231231232231231231230231231230230228227227227227228229230229231233233235237239241241240240239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254253252248248249246247248248248247246246999999999999999999999999999999999241243244244243244244243243244241239238238237237237237236236238240240239235234234233232231230229228229230231231233233236239241244242242242243245247247249242242999999999999999999999999999999999999999999999999999999999999999999999999229228231234239241243245247249249248247245244241240238239240239241243243244245245245246247248248250250250251252252252252253253255257258259259260259259258258258259258258258259259261262263263263264264264263264265266265265266266266265264264264264265265266265265265265264264263263263263264263999999999999999999999999999999999999999999999999999999999999999999999999235235236237239238239238238238238235235234233233234234234234234234232232232233233233229228231231231230230231234234235236238239240240241242243249247250250250251251254253252252251250249249247247247246245246245245246246246247247248248250252252253252253253253256253254255253254253253251253254252255253254254254255255255255255254254256256251250254254254252250249249250248249249249246250250248248248248247247246247247246247247246247246247248248248248248247247249247249248247248249250255257258259259258258258259257258259260263264264265264264259261262260260259259257256254253254253252250249248248249251252252252252249250252253252251252249249246242241238234234233231230229229229228228228231229227226226229230229228227227227222221221222222222222221221221222222222223223223223222223223223224223223224225225226226226226226226226226227228229230231229228229228230229227226222218215214214213211210210210210209208207207207208208208209210210209210211212212212213217223225228229230231231232232233232231232232232232232232232231230230232231229229228227230231231231231232231232230230231232233233231232230231231232232232231231230227227228228228230230230231232233234235237238241241241241240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253248252249248248248248246249248999999999999999999999999999999999999999999999999999999999999999999242241238235237238238238237235237239239239239237236235235233232232232232231232232233236236237238236236240240240238242244244999248999999999999999999999999999999999999999999999999999999999999999999999999999999228231239241243244246248249250251247246243242242240239240241243244244244244245246246247248247250252251252252252254254255255257259259259260260261259258258259259259258259259261262262263264264264263264264265264266266267266267266264263264263999999265265265264264264263263262262262263263999999999999999999999999999999999999999999999999999999999999999999999999999234235237237237238237237237235235235235234234233233234235235235234234232233236233232232229231231231231233233235235236237238240245245244245245249250251252253252251252256255255251250251250248248247247247245246247247248248249249250250251253256257256257258257257258255255254255253252251252253253256254256254255254254255255255256256252257257254253254254252251251253251251251250250252251251250248250249248248247247247247247247248247246247248249247247248248249249248249248248248252253257257258260259258258257258260260262264266265265265265265260262262262262259262258259256255257256255253251251250251250252253253252250250250253251252253252253248244243239233233233231229230229229229228228229229227225227230229229229228228229225227225225226225225224224225225225226226227226227227227227227227226227227228228229228227227226227228228229230231231231230229229229232230229228225223220221219217214212212211210210208208208209209208208209210213210210212212212213215221224226228230231232233234234235235234233232233233233233233232232231231231231230228229230230232231231235231231232232233232233233231231231232231232232232231231230229228230230230230230230230231231234236238238241242242240241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247251253247247248248247246999999999999999999999999999999999999999999999999999999999999999999999999999999999235237238238237236237238238239238239239239239237234233233234234233232231233234232231229231237239240239239241242244247249249243999999999999999999999999999999999999999999999999999999999999999999999999999234239242244245247249249251249249248244242244246245244244243244244244243244245245245246248252252253254254255255255257257258258257261260260260259259260260259260260260261261262262263263263263264265265266265266267268267265264263999999999999999265266264264263263263262261261262999999999999999999999999999999999999999999999999999999999999999999999999999999999235236237238238238236236234234235235234236236234234234234234234234234234234235234234233230229229242234236236240235236242243252248247247249251251252253254255255254254257257257253252252250250249250250250248248249250250250250250251252255256258258258257257256258258257255256254254254253254256255255255256257256255255255256255256256257258258258255254253252252252253254251252251252250249249249249249249248248248248248248247248248248247248248249247247248249249250249249249249250252254258257258258258257257257258261262265266267266265265265265263262262265264260260260258258258259258257257256255253252252254254254253252250251251251252252253254249245242238235234232230230229230230228228227229229227227229232231232231232232229228229228228227227227226228228228228229229229229229229229230229230229229229229229230229229229229229229230230231232231231231230230231233231229229228227227227222221218216215214211210209209209210210209209211212212211211212212212214217222225228230231232233235235236236237235235234233233234234234234233232231231230230229229230229231232232232232232232232233233234234233232232231231231232231231231230229230230230230231231231231231232234235236239242242243243242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251252249250247249250250251999999999999999999999999999999999999999999999999999999999999999999999999999999999234236238238238237237238240239239240239240240239236233233234235235233231229229228226228232235237237238237239239242244248251243999999999999999999999999999999999999999999999999999999999999999999999999999236241243244246247249249250251250250247246245247247246245245245245243243244244244244245249252253254256256256257257257258259260261262261261260260260260260260261261260261262263263263263263263264265265265265266267267266265264999999999999267266266265265264262262263261261262999999999999999999999999999999999999999999999999999999999999999999999999999999999233234236236237235236235235235236235234234235235233233235234234235235235235235235233233232231230235235236237237238237242242242245245247249251252253253254256257256256255255258259258255253253253252252251251250250252252251252252253255258258259259259258258257257259259257256256258258256256258260258257257257258258258258258257258257259257259260260260258254254253252254253253253252249249249249249248250249249249248249249248248248247247248249249249248248248248249250249249249249252253257258257257256257256257258260264265267267267266266266265263265260262264264262261262262262260261261261260259258257257256255254253251251250251251251253252253251249247243239235234231229229230229230229227226229228229229234233235235232231232231232232232231230231232231230232232231231232231231231231231232231230231231231230231231231231231231231231232232233234233233232232232234233234230230229231231231227225223221217215213212212211211211211209210211212211211210211213214215219223226229231233233235236237237237237237236236235234234234234234233232232230230230229230230231231232233233232232233233233234234234234236233234233234231231231231230231231231231232232232232233232235236237238239242245244243242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250247248249247248999999999999999999999999999999999999999999999999999999999999999999999999999999999236235236237238238237237238239240241240241240239238234232231233234233233233230229228228230229230235236233234237235238241245245999999999999999999999999999999999999999999999999999999999999999999999999999999999239242246246248250251250252251252251249249249249248247246246246244245246246245245246250251252255256257258258257258258259261261262261261260260260261261261261261261262263263263262263263263264264265265266266267267267266266999999264266265266263264263264264263262262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235236237237236236235236236236235236236236235234234231234235238239237237237234234234234236236237237238239240240240245245246246251252253253254254254256258259258259257256257260260260258257256255254254254254253253253253253254257259260260260260260260258258256260260260259259260263262263262262261262261260259259260260259259259260260260259259261261259258255253253253253253253252250249249250249249249248249248249249248249248248248248248249249249249248248248248249249249249251253255258259259258257256256257259261263268268267267266266264264263264262263265265263264265265264262260261262261261259259258258257256255254252252251251252253252253251250248244241235232231230230231230229228226227229231231233233232232233232232232233233233234234233232232233233233233232232232232232232232232232232232232232232233233233233233234234234234234235235235235235236234235234234233231232231231231232230229228227222219216214214213212212212210212212211210211213213214216218221225228230233234234236237237237236237237238238236235235234233233232232232230230230231231231233232232233233233234233232234234235236236236235235233233231232233232232231232232231232232234232232232236236237237239242244245245243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236234235237238237237237239240240241241240239238238235235231233234234234233231230229229228228230230231230230228230237241243246248999999999999999999999999999999999999999999999999999999999999999999999999999999240243246246247249249252251254254254252250249249250246249248247247247246246247247248251252253255257259260260260259260260262262262262261261261261262262263261261262263263263263263262262263263263264265266267267268267267266265999999999266265264264263264264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233235236237238237235235236236237238240239236234233235237236237238239241242239238239238238240240240241241241243245247250254256256254255258258258258258257259260260261260260258259261261261259260258257256256256256256257256257260259261259261260262263263261261261259262259259261261263264264264267264266266265264264262261262262261260261260261261262262257259256254254253253253253252253251250250249251249250249250249249249248248248248248249249249249250249249249249249249250250253254256257258258258259257259261263264264268268267267265265264264263263264264263263261260261261260260259260260260259259258259259259257257257256255254254254254254253253252249246241234232232231230229229229230230231230232232232233233233233233233233233233233234234233233233233233232232232233233233233233233233233232233233233234235234235235236236237236236236236236236236236237236235234235235237234233232232233233232230228226224221218217216215212212212213213211212212214215216218219223227230232234234235237237237237236237237238237237236234233233232232232230229231231231232232231232231232232232234232233234237236237237236235236233233232232232232231231232232232232233232233232234236236237238239244246248249244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233233234236236236237238239241241241242241240238237237237235235234235235235233231230226227228228227226227225225228231999238999999244999999999999999999999999999999999999999999999999999999999999999999999999999241244247247249251253251251255254252252250247250252252251249249249247247246247248252252252254256258261260260259260260260262261262261261262262262262262262261262263263263264263263263262263263264263266267268267268267267265264999999999265264264261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233234236235236237237236235237237238238240241238237236238238238239241242243243242242243244245245245244244247250251254255253254256260260259259262262260260260261262262263263263261262261262261262261260260260259260258259259259261261260260258261261260261262261262261261262262262261262265267268269270269267267267268268266266266264263262262263262262262262258260257257255255253253253256255250251249250249249249250250250249248248247247248248249249250250250250250249249249250251252254257258258258258260261261263265266267266267267267267266266266265265265263264264265262261261261259260260260260260259259258258258258257257257257256255255255255255255255254251247240235232232230229230230231231232233232232232233233233233234233233233235235235234234233233233232232232232233233233233233234233233233233234235235237237237237236238236236236236235236236236235237237237237236237236237237235233234233233233233232231230228226223218217214213213213214214214214216217219220222226228231233234235236237238238239238237237237238238236233233233232232232231231231232232233233232233233236234233235235235236236238238237236236235234235234233233232233233234233232233234234236234236237237238239241243247249249245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251251249246241999999234232234233234235236238239240241241241243243242239237237237238239235236236236231228229226226226226225226225224224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242245249251252253253252252252252249248245248252251252252250250249248248248249250252252253255257260262262262260261261262262262261263262262262262262261262263263263263263263263263262262262262264265266267267267267267266265263999999999263263264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237234237239234235237237237236238239240239240241241241240241242245248248248250251250249250251252253254251251251253256258256259258263264264264264263266264263260261263264264263263262263263262262262262262263263262262262261262262261261261260260261260260261261262263262262263264264263264264269270269269270272273269270270269269268268266264263263263261262261261261257258258257257253253253252253250250250250250250250250250249248248248249248249250249250249251249249249249250251252254259257259259259260262264266265267267269266266268268268267267266266265264261262262263262262260261259259259259259259259260258258257257257257257256256255256256255255256255254251247239234233231230231234233232232232233231231233233233233235234234234235236235235234234233233233232232232232233234234234234234234234235235236237237239238239238237236236236236236236237236236236238238237238238238237237238237236234234233235234234232231231230228223222219216214215215215215217218220222224226229230232234234235236237238240239240239238237238237234234235233232232232232233233234233234235235235234235237235236237237236236238238237237236235234234236236235234234234235233233236236236235235237237238239240242244246248247245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251250251251248245243239237235232232233234233236235238239241240242243244244241239237238239241240236240234233228228228226225225223223224223223224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247250252254254253253251250252251249249251250251252251251250249248248248250252252253255258261262263263264263262263262262262263262263263263262262262262263263263263263263262263263262263263264265267267267267267266265263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235234235235234236236236237237238240240240241241244249251252252251250251252257258259257258259260257257257258259258258259267260266267268268268268267266268267265264264263264264264264265264265263263263264263264264263260262262262262261261260260261259260261261263263265265265264266263266266270270270270271272272272271272272271272271269268264264262263263262262261260259259259260258254253252252249251250250251250251250249249249249249249249249250249251250250249250251252252253253257261259260259260262264267268270270270270270270268269269269269267266265264261262261263261260260259258257258258258258259259258258257257256256256256256256256256255255256255254251246239234232233231234234233233232232232233233234234234234234234234233235235234234234234233234233232232232233235235235235235235234235236236237238238238241239237238237237238238238237238237238237239238238238238237237238239239237236235235235235234233233234232231229225224222219218217216217218219222223226228231232233234235236237239240241240241240238238237236235236235234233233233233233235236236238237238238238237238238238238238238239239238238238237236235234235235235235235234233233234234234237235238238239239240242244245247248247248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251251252252252251248244241239238236235234234235235235236237239241241243244245246246244240237240241241241239237235230230228227226224222221220224224225234240999238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244247252253254254254252251252252252251252252251251251252251250249248248248250253253253256259262263263263264264264263263263263263263263262263263262262262263262263263263263263263263263263263264265266267267267267265264263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235232235236236239240237238238239238238239241242247251251253255255257254257260260262263262261261263263265266266267265268268268269269270270271272272272271271270269267266266265266265267264265264266264264264264265265264264263263263262262262262262262261260261262264265265266266267269267267268269272275274275274273273273274274274274273273270269266265265264264263263260259258259258257256256254254252251251251250250250250250249250250249250249249250251250250251251250252254254255258259261260260260263263265268269269269269269268270270270270270267268266263264259261260259259258257255255255257256257257257257257257256256256256255255255255256257256256256255254251245238234233232233233234234234234234232234234234234234234234234235234234235234234234234234234235233232233234236237236236235235236236237238238239240238239238238238238238239238238238238238239239238238238238238238238238239239239237236235237237236235236236235234233230229228227226223223221222223224226229231233234235235236237238238239242243242243241240238235235236236235234233233234235236237238239241242243243242242241242241241240240239239242238237238237237237236237236235234234235235235239239239239240240241242245248248249249248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250251252251252252251250247247245243241239237236236236237236238238237242240247248247248247247243240241240242240241234233232230229228227225225225224226229229234240231250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244249252251253252253252252253253249254254252252252251251251250249249249249251253254254258260262263263264264265265264264264264264263262262263263262262262262262263263263262262262262263263264265265266266266266265263263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233234234237236237237238238239239241242242246249251252254254255256261260264265264265266267266267267267268267271269271272271271271273272272273273273274274274273272271269267267266266266265263265264266265264264264265265265264264264263263263262261261261260261263264265265266267268272269268270275274275274275275275274275275275276274273273270272271267265265264263262261258258259259257257257257257255252251251251251252252251251250251251251252250251252251251251251253254255256259260260260260259262264265268269271270271271271270270272272271273269268265264263260261260257253252255254253252255255256256256256257256256255255254255255255256256256256256256255254250244238234233233233234235234234234231231234234234234235234234234235234234235234234234234234234235233232235235237237236236236236237238239239240240238238238237239239239238238238238238239238238238239239239239239240239239240242241239238237238240238238237237238235235234233233232230230228227226226227227230232234236237236236238239239240241241242242241241240238237237236234234234234235236236237238239240241242243244245246245246246244242241240242238237237235237237238238236236236236236237238238238239238239242244247249250251250250249247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253252251250250251250250249248246244242241240239239238236238239238242244245248251251250249249242243242240243242240235232231229229228227226225225224226229229234237238246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244247251253253253252252253252252253255255255254253252252251250250251251252253254254255258260262264264264265265265265265265264263263263263263261262261262263262263263263262262262263263263264265265266266265264263262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236235236235237237236239239240241242245249252253254256256259259263262264265266266268269269270269270270270270273274275275274274274275275274274274275275275276276275275274272271269268268268267265265264265266266266265265266266265265265264264264263264264263264266266266267268270271273275275276276276274275275276275276273268277275276273275273274274275273269267266265263262261261260261263258259258257258257256254253254254251250250250250251250251250251251252253254254255256258258260260261261261262263266268268269270271271271271271272273273274272268267264263263260260259253252252251252251252254255255256256256256256257256255255255254255255256256256256256255253248243237232233234235234234233233232233232232233233234234234234234236235235235234234234234234232232233233234236237238237237238238239239239239240239239238238239239239240240239239239239239239239239239239240240240241241241241242242241240240239240239238237237236237237236236235235234234233233232232231230231232233236237238238238239240240240242242241241241241240239237235234234234235235235236238239239241242243242244245247247249250249247244242243241238238237236238238236237237237237237238238239239239241245247249251252252252252251249247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251253253251251250250251250249249248245243241240240240238237236240239243245245244248251251251249248248243245244246243241235231230230229229228228227223224225227232235236237243999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243248248248249250252253253253255256255256255254254254251251251251252252253252254254255260262263264264265265266265264264264264265265264263262262262262262262263263263263262262263263263264265265265266265263263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235236238238238239238239239243247251255258259260260262263267266266265264265268270271272273273274273273273277277277277277275273274276276275276275275275275276276276276275275274273272271270269267267267268267266265266266266266267266267265265265265264265265266266266267267269272274276276277277277276276276276276277277277276275274276275277277275275274274273270269267265264263262264261262262261260260258258257256259258256255254254253251250252251251252252254255254256257260261260260260260262263263265266268270270271272272272271272272272272271272268266263262261258256259256254252252251251252254255255256256256256257257256256255255255255255256256256256256255254248243236232233235234234233231231231231233233233233234234234234235235235235235234234234234233232231233234235237238238239239240239240239240239240239238238239239241241241239239238238238239238239239240239240240240241242242244242242242242242241239240240239238238239238236238236236236237236236236235235234234234234234236237238240239240240241241243242242242240241240239236236235235235236237238239240242242242245245245247248249249250251250248245246242240239239236237237237237237237238238240241241242245247251252252253253252253252251250248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253251252252252251249248247246244242241240241240239238237237236241242245245249248252249251251249249247245248248244242238235231229227228228229229226223224225225233234240246247999999999999999999999999999999999999999999999999999999999999999999999999999999999999243247249248247248250249252251253255255255256255255255253252253252252252251252253254257261262263265265265265265264999999264265265264264262262261261261262262262263263262262263263263263265265267266266264263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237237238238239239242241243250252256259259262264267268269271272272272273274275276278275276276278278277278279279279278277276275276277277277276278277276276277277277276276276276275275274275273272271269270270267267266267267267267267267267267267267267267267267266267268269273274275277276277277277276276276277279279279279278278278279278278278276275275274273271269268267267265264265262262262263261261260258259258258256257256259257257252252253252253252253254254255257259261260259260260262263263265266268270271272272274273273273273271274272270271267264263263262261258255256253251251250251251253253254255255256256256257256256255256256256256255256256257257256253248243236232233234234234233232231231233234233234233234234235234235235235235235235234234234233232232234235236238240240240240241240240240239241239239239240240240242240240240239239238238239239239239239240240240240241241241243242240240241240240240239239240239240239238238237237238237239238238237237238237237236236237237238240242241241241241242242242243242242241240240237235236236235236237239240241244242243244244246248248251250252251252253251247245245242240240240240240240242243244245246247247248248250251253253254253253253253252250249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251999999999999251251251252252252251249247244242242241241239240240238238238237239241244246248250251249250251251248245250249249249246241241238232228227228228229230227222224224227233235240245247999999999999999999999999999999999999999999999999999999999999999999999999999999999999243248247249246249247247249249251253256257256258258258256256254253251252251253255257259261261264265265264264264264263264264265266266265262261261261261261262261262262262263262263263264265266266268266265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239239241241241241241242246251256259260261263268272274272275276277276270278277279277277277280279280280280279278278278277277277277277277277278278278277276276277277276277277276276276277277276275275274273272270269268268267267268268267267266268268267267269269268270271273274276276278277277276276276275277278280279279279279279277279279279278277277276274276271270270271267265265266264263262263263262261261261260259260257261261262260256256255255255254255255256258260260260259259260261262264265267269270272273274273273273273272271271269270270269268264263262263262258258256255252250249251253254253253254254255256256257257257257257257257256256256256257257257253248241236233234234233234233232232232233234234233234235235235235235235235236236234233234235234233232233236240240240241240242241241240241241240239240240240241241240240239239239239238238238239239239239240240240241240241242242242241241241240240241240240242240241239239238237238239238242240241239239239240239239240240240240241241242242242241242242244243242241240240239239236236237236237239239241242244243243243243245249249251255253253254253252251250248247246245245246247247248249250251251251251251252254255255255254254253253253253252249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254248248247249250251251251251251249248247245245243240239239239239239239238238240242245247249248248249250252252251249251251249247246246245242236232230229229229230228226222222225233236239246247250999999999999999999999999999999999999999999999999999999999999999999999999999999999244244243246246247246248248249250255256255259258258257258257256254252253255256257258260261263265265264265265265262264265265266268268265264263262262261261261262261261262262263262263264266267267267265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239241242242240242244249256257259260263267273274276276272272278278279278279281281281281280278280280280279279278277277277277278278278278278277277277277278278277278277278276277277277277277277276276275276275273271271270268267267268268268268268269269269270271271272274275277277277278277274276277277278280279279281279278278277278278278278278277277276277274272272272270269269268266264263263263263264263262261261260260260260259260257257256256255257257258259259259259258259260260262263265266268270272273277275273274273274272271270270270269268268265262263262262260258255253253252251252253254254253253253254255256257257257258257257257257257257257257257257254249243236234234234233233233232233233233233233234234235235235235236237236237235236234235234234234234235237238240241240242242241241241241241240239240241241240241240240239239238238238239239239239239239240240241241240241242242241242241241240241241240240242240239239240238237239240239239241241241240240241240240241242242242242242243242242242241243244245242242242240239236236238238238238239240241242243245244243244247250252255254255256253255255253252253252252252252253253254252253253254254254254253253255257256255255255253253254254252249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247248248249250251251250251251250249248248246246243242240241240241240240240241242244246248249248248249251253253251251250249249247247248246244239233229230231229229228225226228228233236240245247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244245243247247246248249252254256258257256260260259258256256255254256257258259261261262265266266265265264265264264264266267267266264263263263262262261261261261262262262262264265267267267267265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241242242242242247252257259261262265271271273276276273272275280279281281281282281281280279280280280280280280280279278278279279277278278278277276277277278278278278278278278278278278278278277278277277278277277275274273270270269268269270270272272272271271272273275275276277277276276277277277277278279280280279279279279280275276278278277278278277276276274274273272270271272271270267267264264263264264263263263261261261260260260259258258258258259258259259260259259260260261262263264266268270271273275277274273273272273269270271271270270269268266260264262261261259257253252252250250252254254253253253252254255256257257257257257257257257257257257257256254250243237236235234233232233233233233233234233234234236234236236236236236236237237236235235235235234236237238240241242242242242241241242241241240240241241240240240240239239238239239239239239239239238239240240242243242242242242242241241241241241240241240240239239238238239239239241240240240241240241241241242243243243243244244244243242243243245246246243240240239239238238238239238238239240244244244247244245247249251255255257257258256255255254255256255255256256255256256256256256256256256256256256256258256256256256255254254255254251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250249249250249249250250250251251250250249247246246244243243243242242242243243245247248248248249249251252252254253253250250250249249248248249246239232229229230230229227224224221230232234237242250250242999999999999999999999999999999999999999999999999999999999999999999999999999999999242242243243245247247251254254255254256258258260261261261258258257256256258259259261261262265265267266267266266264265265266264268266265264264263263262262261261261262263264264265266266266266267265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243243244248255258261263265268270272275274276273274274278277277281282283282281281282280278282281281282281280279278278280279279276277275279277278277277279279279278279279279279279278278278276276277278277275277275273273272272272271271273273273273273274275276277278278276277277277278277279278279280280280280280279279279277278279279278278277277277277275274273273271270271272271269269267265266264264264264265263262262262261261260258259259259258259259260260260260261261261262265266267270272273274275275274274273272271269270271271269269269270267267266262261262259258255254253250252253253255254253253253253254255256256257257257257257257257257257257256254251243237237235233233233233233234235234234234234234234234236236236236236237237238238237235235236236237238240241242243243244243242242242242242241242242241241240240239239239239239239239239239239239239239239240242243242243243242242242242242242242240240239239239239239239241239241243240241240240241241243242243243244244244244246246245244243244245245246246243240238240241240241241239240240241245246244248246248249250251255255256256258258257257257257258258257257257257257257257257259260260259258259258257258260258259257256256255255254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251250250251251250250251251251251251250250248247248247246244245244243243244245246247250250251251251252254253254255253253251251252251249250250249245240235233233235233227226223222223231233238240240249241999999999999999999999999999999999999999999999999999999999999999999999999999999999999241243244245245247249251253255257256259261262262259261261260259259257258258259259260261263265265265267267267266265265266267267268266265264264264264264263262264262263263999999265265266266266266265265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248248251256259262261264269271273272276277275275279275279280281281282282281282281281281282281282280281280279279279279279280278278278279279278278279279281280280280280280280280279280279278278278277277277275275275275274273274273273273273274275276274274275277278279276277277277278279278279278280280280280280280277278277280280278278278278277278278276277275274273273272272270269269268268267269265266266265265265262263262262262261259261259260259260259260260260261262262262264265267269270271272275275275275274273272271272270271270268267268270267266265263261262262260258257254252253253254254254253252253254255256256256256257257257257257257257257257257253249243238237236235235235236236234235235236235236236236236237237237237238237238237238238238237236237239240240241243244246246244242242242243243242242242241240240240239239239238238239239239239239239239239239240240241242241242242242243243243243242242240239240241240239241241239241239240240239240241242243243243244245245245245247246246245243244244244246246243240240240241242242242242240241243243244246247249249251251253254255256257258259258258258258259259260259259259259258258258259260260261259260260259259259258259258257257256256255252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251251250250250251251251251251251251251250250248247249248248247247244245247247248248249251251251252252252254253253252252252252251252251251251251250246242238235236235234228224222220222226234235241240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243246247248251251251254257258259262263262261261262261262261262260260259259260260262264265265265266266266266266266266266267267267266266265265265264999999999999999999999999266267267266265265266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265269999999999999999247248248252256259262264266269272274275277279275276277280280280280280281282281282282280282282282282280280279280280279279281280280280279282282279277278280280281281281280281280280280280279279279278278278278279278277277277276276278276277276276276276277275276277278278279279278278278279279279277277278280279280280279279279279279278279278279277278277277276279276275275274275274273272271269269268267268268267267268264266263263263263262261261260260259259260260261261262263263264265267268269271272274275275277274275273272272271270270270268267267269269268264263262261260259259257256255254255255255254253253254254255256256257257257257257257257257257257257257253253244240238237238237238238238238241241239238238238239239240239240240240240240240239239240240240238239241243243243245246247244243243243244243243242242241240240240240240240240240240240239239239240239240240240240241242241242242243243243245244243243241241241240241240242239239239239241241241241243243244244245245245246246246247247246246245245244246247246246243241240242243244243242243245244244244246248251252251252252254255257258258259259259259259261261259259259259260259260260260260261261260260260260259259259260258258257256256255252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252251251251250250251251251252252252252251252251250248248250251249248248246247247249249249251251251252253252253252253253253253252251250253253253253253251247244239237237234234229223221220221227231233239246248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243246248251251253255257258259261261261260260260261261261263265262265264264263262262263264264263264264999999999266266266265265265265999999999999999999999999999999999999999266999269269267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265264266999999999999253252252254257260263262266268271273275278278280278280281281281282282283282283281281282282281281282282280281281281282279279280280281280279282282281280281282281278281281280281279280281280280280279279278278278279279277278278277278279278278279279277278279278279279279279279279279279279279279278279277279279279279278278278278278278277278278279279279279276277277276276274275276276275274273273272271269269269269268269269267265264264263263262262261261260261262262261263263263265267267268269270272275276276277277276275274273272270271269269268268267268267267266264265262260260260260259257255256256256255255254255255256257257257258258258257257257257257257258257254253247243240239239239239242241242242242242242241242242243244243243243243243242242242242241240239240241241243243244245245248245244244244244244243242241241241240240240240240238240240241241239241240241240240240241240242241242242243243243245244243242242242241242241239240239239241241242241241241243243244245245245246247247246247247247246246246247246248246246247242242243245243243244245245245246247248249252253252252253255256257259259258259259259259259261259260260259259259259260260260261261260261261261260261260260259259258258257256254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254253250250250250250250251251252252253252252252251251250250251251251249249247247248250249249251251252254254253253253253253253252251252253253254253253253252246242244242239235233231225222220221224228235242247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243243247249250253252255258261262263262261260260259260261262264266266264265264264263263264263263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262266999999999999254255254254257260263265267267271273277278276277277280280280281281283283283282282282282282283281281281281280280281281280279279279279280282281282282281281281281282280280280281281280281280280279279280280280279279278278278278278279278278278278278278279280280280280281279279280280279279279279280279277276275278277276276276277277275277277277276277277277278279278277277277276276276276276276275275274274273271269270271270270270267266266266266265265263262263263263264266267266267267266268269270272273275276276277277276274273271271270270269267267267268267267266266265266264262261261261260258257257257257256255255255257256256257258258258258258258258257257257256256253252250245240240240240240240242243244243243244244246247248247247247248247247247246245244243242242241242242243244244245246246245244245245244244243242242241241241240240239240241241241242240240240242240241241241241241241242242242243243243244244243243242241242241240239239240241241241242241242243243243244246246245246246246247247247247247247249248246247248246247246245246244244246245248246248249249251252252253252252254255257258259258259259259259259260259260259260260260260260260261261262262262262262262262261262261260260258258257257254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256254253251250251250250251251250252252252253253252252251251251251252251251250248245249250251251252252254255256256254253253253252253253252250251252252251251251247245247243241235233231225221222223228229239244999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242242243246251252252253256256261262264264262261261261261262263264265267265266264264264264264263263262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258262999999999999999253254256256260262265267269270273275278274275278280281282281281282284283282284283283283283283282282281282282281281281280280280277281277281280281281282282279281281281282281280280280279279280279277280280280280281279279279280280280280280278278280280279279281279282282281281281280280279280280280280279277276276275276276276276277277276276276276278277277277280276277277277277277276276277277277276277276274274274274273274274271270270270269269268269266267267267267267269267266267268269269270272272273275276276276275274273272271270270268266265266266266266267267267266265265263262260260260259258258258258257256256256256256257258258258259259259259258258257257257256253254250246243243242241242246246244246245245247249248250251251251251251251251251250249248246244244243243243243244245245246247246244245245245245244244243242241241241241240240240241241242241241241241241241241241241241242242242242243243244243243243241242242243241241240241240240241240242241242242242243243245245245246247249248247247247248248248248251249248248247247245246246246247248247247249250251252252251252253254254256258259259260260259260261261261261261261260260261261261262262261262261262262262262262261261260260260260259259258256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257256254252251250249250250250251251252252253253253251251253252253252251252252250248250251252252254254255254256257256255254253254254253254253250250252251251249249247248244242238232228224221221221226234241247999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243245247249249252254254257261265264264264263261261261262262263264268268267264264264264264263263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259261256999999258999999999999999253256259259262263268271273273277278279276276280281282282283283284284284284284284284283283283281281282282280278280280281280280280281279280280281281281281281281281281281281282281278279278280280280280280279281282280281281281281281281281281280281280281281282283283283281281281281280282282281281282280277278277277277277277277277277277278277278277278277277279278275276277279277277277275277278278277278275276275275276276275272272271272271271271271271271270268270269269269269270269270271272273274274276275276276275275274273270270269267265264263263263265265267266267266266265264262261261260260259259258258258257257257257257257259259259259259259259258258258258256253256251247245244247247248247246247248249248250251252252254254253253253253253253253250250249247248246245245245244245246246247246245245245245245244244243242242241241240241240240240241241241241241241242242241242241242242242243242244244244244243243242243242243242240242239239241241240242241241242241242242244246245246248248248248248248249249248250250249251250249248247247247247248250250251251252253253252253254254254256259260260260260260260260261261262261260261260260261261262262262262262261261261262262261261261261261260260260260259256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257257256255253251249248247248250250251252252253252251251253252253254253250253252251251252253253253253253257256256256255255255255255255255254253253252252250251251248248245243237232228225222220223231236242245999999999999999999999999999999999999999999999999999999999999999999999999999999999999246247248250250253255256258261262264264264265264263263263263263266268269269265264264264265263262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262261261258999255999999999999999256257258261261265267272274275276278279280281279280281281282282283283284283284283283284283283283281283283280280279279282279279280279279279280280279280281280281282281280281280281280278278278279280280280279278279281282282282282281280281282282282282283279281282281283282281281281282280280280276279278277276277277277278278276278279279279278277277277277277278278278278278278278278277277277278278278277276277278276275278277275274274273273273273273272272272273272272272271271271272271272272273273274275275275276276275275274273269269268265264264264263264264265265265266267266266263263260261260260260260259259259258258258258258258259259259260260259259259259259258257256258255251248248249249249249250250250251251253254255256257258257256256255255255254252252251250249249246246245245246247246248247246246246246245244244243243242242242241241241241241241242242241242242242242243242242242243243244243243244244243243242243242242243242242243241240242244242241240241241242243243244245245246248250248248248250250249249249249250248249250249248248248249250251251252253253253252254254253254257259260261261261261261260260261261262260260260261261261262262263263262263263262262261261261261261261261260260260260259257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261258258258258258257255251249247245248249248250251252253252251251253253254255254253252253253253253255254256254254256257257257258257255255255256254254255255254253252253251247246244242234230228225223220226229228229229999999999999999999999999999999999999999999999999999999999999999255248248248247247248250252253255254254256258261262263263264264265266261266265265265268267268265265264264263263261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268999999999999999999999999999999999999999999999999999272270267999999261261261262260259257261999999261261261262265264265267273275276278278277278279277281281281278282283283284285285285285284284282282283284283283283279279279280281278280280280280280281281282280281280280279280280281280282281278278277280280281279282282283281283282282282282282282281282282282282282281284283282282282280281279283281281279279278278280280279278279279279279279280279278277277277278279278278278276278278278278277278278278276275275278276276277278277275275275274274275274274273274274274273273274274273273273274273274274275275276276276276276275275275270269268266264263263264263263263264264265264267266266266264263262261260261261261260260259259258258258258259259260260261260260259259259259257257256258255253251251251252252253252253253254255257258258259260259258258257258256256255254252251250249248247246246246247247248247247247247245244244244243243242242242242242242241241241241241241241242242242242242242243243243243244244244244244244243242242242243244243243243242243243242242242241242245245246245245246247249249249250250250249250250249250249249249248250248249249250251252253253256253254254253255256257259260261262262261261261261262261262261260260260261261262262262263262262262263262261262262260261261261260261260260259258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259258259259259259258257252252250247247247247248248250251252253253254252252252253252252253253254254256256256254255258259257258258258255255256255255255255255256254253255251248246245239232228228225222220224231238229229999999999999999999999999999999999999999999999252252999999999250256251248247247249251253254255259257256258260262262262263264265265266266266265266267268268267265264264263262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261999999999999999999999999999999999999999999999999999272272270999999999999263264263263260258999999261264266264266271270267272274276278279278278281282282282282282283283285286285284285285285285286285284280281279281282281280281281281280281281280280279280281281281281281281282280280282281281280279281281280280280279280280282283283284283283283283281282282282282282282282283283282281280282280281281281281280280280280280280280279280278276278278279278278277278276277276278278278278279279278278278278278277277276277277277277277278277276278277276276276277275275276275274274275274273274274274275273274275276276276276276275275274273272271269268265264265264263262262261262263264265266266267267264264262262261262262262261261260260259259259259259259259260261260261260259259258257256258257258257256254254253254254255255256256257258261261261260261260259260259257256255254254251251250250248247247246247247247248247248247246245244244243243242242243242243242242241241241241242242242242242242242243243244243244245245245246246245244244243244244245243242241242242243244243242244244245245246246246246248248249250251251250250250250249250250249250249250249249250251252253254256255256256256256257258259260260261262262262262261261261260261261261262262261263262262263263263263264264263262262262261260261261261261260259259258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257258259260259259257256256252252249247248247245247251253252251252251251252252251253253254256256257257257256258258258258258258257256257257256257256256256255254255254253247244241234228224227226221219223230236236229229230999999999999999999999999999247999266999250250250251249250999999249249251253256258258257258258259260261262262261265262267266266266265265266268267267265264263262263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267265268267999999999999999999999999999999999999999271272272272271999999999263264264264263261261262264265266263267270273274273274276278279280281280282282282283283284282283287286285285286284284285285285285283285283282282281282281283281281281282281281280281280281280281282282281281281281281281281283281282280282281281280281281282283283284283283283283283282283282282282282283284283282280281281280281282281281281281280280280279280280279278279280279279278278278277277277278277278278277279278278278279278277277277277278279279279278277276278277277277276276275276275275276275275275275275275275276274275276277277276276275275275275273272271268267265263264264263263262262262262262263265265265266267266266263263263264263263262261261260259259259259259260259260261261260260259259258257259259258257257256256255256257258258258260261261262261260261262260260260259258257256255255252252250249249248247247247247247247249248247246245244244244244243243243243244243243243243243243243243243242243243243244244244244245245245246247247245244247245245245246244243243243242243245243243246246246246247247247247248249249251251251252251251251251250250251251251250249250252252253254255256256257257258258258259260259261263262263263263262261261262262262262262262263262263263263264264264264264263263263262262261261260261261259258259258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260256259259260260258257256256254254249248247245245245248250252252251252251252252252254255254257257258258258258257258258259259258259258258258258257257257255253253256256252247242236229225223227226221219223228228232229229999999999999999999999246245258259999250250251999251252248247245247249252256258260261258256260259260261261262261261264267267267266265265265266266267266263262265266999999999999999999999999999999999999999999999999999999999999999999999999999277277277273999999999999999999999999999999999999999999999999999999268267999270269268276272999999272999999999999999999272271271272271999999264263262264999266266266268270269268271269272273275276277279279279281282281284283283282283283286285287288287286287284284284285285284285285284283283284284284285283282281282281281281280280280281281282282282281282281281283282282282282283282280282281281282282283282282281282283283283283283282283282283283283283283282281281281281281282282281280281281281278280281282279279279280279279279279278277278278278277277279279279279279276278278278278277278279280279279278278279276278279278276275275275275276275275275275276275275275276275276277275276275276275275275273273272269267265264264263262262262261261261262262262263264265267266267266264264264264263262262262261260259259259259260259260260261260260260260260259259259259258257257258258259259260261260261262261260261260261260260260260259258258256256255254253252250249248249248248248248248249248248247246246245245245244244244244244244244243243244244244244244244244244245244245245244245246246247247247247245245245246245248245246244245243243244244247246247247246247248249251250250251252252252251251250250252250250250251252250251252253253255256256256257258258260259259261261262263262262263262263262262262263263263263262263262263264263263264264265264264263263264264263262261261261261260259259258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260258260259257256256256253249247249247247247247248248248250250251252252254254255256255257257257258257256258258259259259259258258258259258258256251250250256256249246241238234229223225224222218220231229228230247244999999999999999252245999999258255999252250250248248246245243246250252255258259261259999262260260261261262261262264267267267265267266266266265265262260999999999999999999999999999999999999999999999999999999999999999999999999999999277278276275276275269999999999268266263999999999999999999999999999999999269268264262267999999999999999274999999999999999271272271272272273999265267266267266264266267268269271272272274271274274277278279280280281277281281283282282284284285285286287287287287287287286286286285283285284282284285284285286285284283282282282282281281280280281281282282281281282281281281282282282282282282282283282283282283282282282282282283283284283283283283282283282283283283283281281281281280280281281281281280281280279280283283282283279279280281281279280279279279274277276277277279278277278278279278279278278280279278277280280278278278278277276276276276276276275276275274275275275275276276275275276275275275274273272272271268267266265264262262261260261261261262261262262263265266266267266266266265265264264263263262262261262262262261261261261262262261262261261261260261259259259260260260261262262262262262261261261260260261260260260261260259259257256256255253253251250249250248248249249250250250248247247247246246246246245245245245245244244244245245245245245246246246246246245246246247247247246247247248247246245245246245245246246245246247247247247248247247247249250250252251252252253253251254252251251251251251251253252251252253254255257257257258258259260259260260262262263263262263263263264262262262264263263263263263263263264264265264265265265264264264264265264262262261261260260259259258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259259257258257255255253252252253252249248247246246247249250252252254254255255256257257257257257258257259258259258259258258258258259258257255255257257256250242239238234228225226223222221220222230229232999233999999999999253243999999246254251249248248248247246245245245246250253257259262266999999263261261261261262262263265266266266268266265264264264261260999999999999999999999999999999999999999999999999999999999999999999999999999277275276276276275272268264999256256269267264999999999999999999999999999999999999269266261264269272274274275274273273273273272271272272273272271270271270269267266267268269272273273273273275274273275275279280280281282278279282282282282285284284285287286287288288288287286287285287285284284282284285286286285282285283283281282282282281280281282281279282280281282282283282282282282282282282284283283283283284284283283283282283283283284283283283283282283282283284283283283282282282282281281281281280281281280280280283284283278279283280281281281280280281280278279278278277277279279278278278278280280281278280278279279279278278278277276276276276276276276276277275276277276276276276276276275275274272272273272271269268267265264264262262261260260261261261262262263263265265266267268265268267266266264264264264263263263264264265263262262263264263263264262262262262262262262263263263263264263263262261261260260260259259259260259259259259259258258257255254252251250250248249249249250251251251250249248248247247247247246246246246246246245246245245245246246246246247247247246247247248248249248247248248248247246246247247248247246245247248248248249249250249250250251252252252253253255255253253253253253252251253253252252252254254255256257257258258259260261261261261262262263263264262264262263262263263264264264263264264263263264264265265265265265265264264265265264262262262261261262259259258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258257258257256256255255256255254251249248248248247247249250251254255257256257258257257258257258259258258259259258258259256258258257256257257255254251243240237231228228227224222221218220999999999246999999236238242250242245248999254251244245246247248249247246246247251255257261265264999262263263262260261262263263265266266268267265262264263262262999999999999999999999999999999999999999999999999999999999999277276277277999275276273272274275274271268999262259259268267999999999999999999999999999999999999999999999263268271272273274275274273273274273273273274273272272271272272271271268265268270273273274274274276275276275277277278279281282283284283282282283284284283283285286286287288288288287285286285285284283286286285285286286285285285284283283282281280281279282282281282281282283282282282282282282282283283283283283283284285283284283282281282282283282283284284282281281281283283283283282283282283282282282279282281280280281283281282283284283282280283281280283281282278278280278279279279278280280279279279279279280281280279280280278278279278277277277277277276277276276276277277277277277276276277277276276275274272272272272272272269269267265265263263262261260260261261262262264263263264263267267268267269269269268266266266265265264265265265265264264265264265265265265265265265265265265266266266264264264263263262261261260259259259258258258258258259259259257257257255253252251250251249249249250251252252252251251250249248249249248248248247247247247247247247247247246246246247248248248249249248249249249249248249249249248248247247248248248247247249250249250250250251251251252252252252253254254255255254255253253253252252253253252253254255256257258259259258259260261262262262262262263263263264263264264263264264264265265265264264264264264264266265265265265265265265266265265264262262262262260260259259257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257256256258259258258256253253252251250248248248249252254257257258257257257256258258258258258258258258258258257258258257257254257254251249244239236229228229228224223221219222225229236237236238236238235238244244247247246247246246248250249249249247248250253254257262264262262262263263263262263263263264265265265267264261999999999999999999999999999999999999999999999999999999999999999999999276277277275275277999999999999999275275274274999999262261999999999999999999999999999999999999999999999999999266266270271272272273275274274273273274273273274273272272271269270271269267268271274276276277277275276276277278277278278280281282284284282280279283284283285285286286287287287287287285285286285285285284285285286285286286286285286284285284282281280282280279281281281282283283282282282282282282283283283283283283283283284284283283282282282282282282282283283282280280281282283282283282283281283285283283282282281282282280283283281282277281280281284280281278281280280280280280279280278280281282280277280280280280281281281281278280279277277277277277276276277277276277277277277277277276276277278275276276275273273272273272272270268268267265264264262261261261261261261261263263261264265264266266268269270270270269268268267267266266266266266266266267267268268268268268267268268267267268267267267265265264263263262261260259259258257257258257257258259259258258258257255254252251250250249250250250252253253253252252251251250250250250250249249248248248248248248247248248248248248248248249249249250250250249250249249249250249249248247247250248247249249250251250250250251251252252252252253253255255255255255255253253253253252254253254255256257258259260260260258259261263262262262261263263263263264263263264263264266265266267266265265264264265265265265265267266266266266266265264263262262262261261260259258257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258259259260259259256255257256256253253252249248249251256257256255256257256257258258258258258258257257257256257258257257256256251247246243239237234232229228227226221231234230228229227230231230233231236238244240242243244246247251253253251252252251252254257259264264999262265264264264263264263264265266266265267264262999999999999999999999999999999999999999999268263263999999266268999271276276276276277999999999999999999999275273268999999257258266999999999999999999999999999999999999999272271270267269271272272272273274274274274272273272272273272270270272269269271270269271274276276276278277277275277280280279279280281282282282284282282283281284285286285286286287287287287286287285286285286286286286287287286285285283287286286285285283283286283282282282281281280283283283282282281281282283283284281283283284282283283284282283282282282281282282283283283282282283282284282283283285285285285285284282281281281278281283283281281280281281281283283280279280281282282280280280281281281281282281281280279280281282282282279278280279277278277277275275275276276277277277277276276277276278276277277275276275274274274272272271269268268266265264263262261261261262262262262263263264264264265265268269270270270271271270269268268268267267268268268268269268269269269269269269269269269268269268268267266266265264263261260260259259258258257257257257258258258258259257257256255253252251251250249250251252253253253253253252252251250251250250250249249249249249249249249249249249249249250249249250250250250251251250250250249250250250248247248248251250249250250251251250250251252252253253253254255255256256256256255254254256255255255256256257258257258260261261260261261263263263262263263263263264264264264264264264264266266266267268267266265264265265264266266266267267267266265265264263262262262262260260259258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256258260261261260260261257260260258258256256252250249250253255255256257255255256257258258257256258254259257256255256255255253250247245243242238239239236231230233234234232237239238235231227229231234239240242244243243244245248250251252252251252253253255256259262264265999266267266264264264264265265265266266266264263263999999999999999999999999999999999999999272269999266999263263266273273275278278276277999999999999999999999999999264264265261261263999999999999999999999999999999999274272272272270271273274273273274275275274273273273273273272274272271271271271270270272273275276275275277279278278278280279281281280281281282282282283283284284284285286286286287286286286287287287286286285287286286286287285286285285285285286286286287286286289288285284284283283282282283282282282282282281282282283283283284284284283282283281282282282282282282282282282282282282281282284284285286286285286286286285285283282280281281282282282282282281281283281283285281282283283284283283282283282281280281282282281280281280280283283282281280279277277277276275276276275275276276276276277277276276277278278277276276276275275274275271272272270268267265264263262261261261262262262262263264265265264266267265267269269270270271272270270269269268269268269268269270269270270270270270269270270270270269269269268268267266265264262261260259259257258258257257258258258258258258258258257257255254252251251250251250251253253254254254253253253252252251251250250249249249249249249249249249250250250251251251251251251252252252252251250253252252251250249249249250250249250249249250250250250251252252253253255254256256256256256257256257257257257256257258259258258260261261262262261262263263263263263262263263263264264264266264264265265266265267266268266265267265265266266266267266267267267266265265263263262262261261260260260259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260262262261261261261263261262260259260255253251250251255256256256254254254257258257256256258259259257257256253253251250249248245242241240234239240238237240241242244246246246242240234231236240243244245245244246247247251250249250251251253254256257260262264266268268267266265264265265266265265265264264264264264265999999999999999999999999999999999999999271270265261261261261999999274275277277277999999999999999999999999999999266265265263264268999999999999999999999999999999999275275272273273274275275275276276276275276275275275275275274274272272273272272272274276277277277276278279280279279280280281281279281281282280280281281284283284284284286286287286289287287287287285285286286286284286286286285285286286285286286286287287287285288286285284285283284283282282283282282282282282284283283283283284284283283281279282282282282282282282282282281281281281281283282286285287286286286286286286284283283282282282282284283283283284281281281285280278279280280282285285283283283282281281282281278279279278282282282278280279277276277277276276276276276276276276275278278277277279278277277277277278275275276276275273273271269267266265264263263262262262262262262264265266266267267266266267268269270270270271272272270270270270269269269269269269269269269269270270270270270270270270270269269268267266265264261260260259260258258257258258258258257258259258258259258257256254252252252251252251252253254254255254254254254253253252251251251250250250250249249249249250250251251251252252252252252252251252252253253253256252252252249250250250251251250249250251252253252253255254254255257257257257258257258257257258258259258259259260260260261261260262262262262263263263263263263263263262262264265265265264265264265265268268267267266266266266266266266266266267267267267266265265264263262262261261261260260260260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260262262262262263263262263263262262261259256251253251255257256256255255255256256255255257257258259257257256256253252250249248245242242241241241241243244243244246247248249247239242242241245246247248250250249250252253253253254254254254255257259260263264269270269268268267266265266266266265265263261261261263999266267271270999270270270272272271999999999261270261254254256999999999275999999999999999999999999999999999999999999999264265266267999999999999999999999999999999999277277275273274274275275276276276276276276276276276276275275275275274273273273272273275276272273275275278280280280280279280281281281281281282282281284284284284286285285286289286288288282288287287285285285285286283285286285286286285286286286286285287287285285287285283285284284284284283282283283283283283283283284284284283283284283282282281283282281282282282281281281281280280281281282282285286287287287287287285285284285280282280283283284283282283282284283280284285283279280284284286285284283281278278280278279278279281281282282281280278276276277277276275276277277277277278276277277276278277277277277277277276276275276276275275273272270268267265263263262262262262262263263265266266267266268269268268268269270271270271272272272271270271270270270269269268268268268268268269270270271270271271270270270269268267266265263262262261260259258258258258258258258258258258258258258258257256254254253252252252251253254255255256255255255255254253253252252251251250250250249249250250250251251251251252253253253253253253253253254254254255257253251251250251251252252252250251251252252254254255255257257256257257258258258259259259260260260259261261259261262262261261261262263263263263263263263263264262263263265265266265264264265267267267269266267268266266266266267265266266267267266267266265264263263262262262262261260261261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261261262262263263264263262263263263262256257254252249253255256256256257256255255254254255257258258258257255254255253251249247246244243242242241242243244245246247248249248247246246248249249249250252254254253253254256256257258258259259261262264266266268270270268268268267266265999266266263263261260259999999999999999275273271270271271272272270269268259256255253253252999999999999999999999999999999999999999999999999999999999999266267269271273999999999999999999999999999277278276277274274275275276276276277277277276276276276276275275275275275274275274273274276275275276278277279281281281281282281281279280280281282282281284284284284285286285287287285287289288288284283284284285286286285285284286285286286286286285285286287286285284284285286284284285284284284283283284280279284284284284284284285284284284283283283282282282282282282281281280281280280281282281281285285287287287287287285284281281281281280283283284283282283285284282282282283284284285284281284285284283278278280283282280279279280283283278277276275274276277278276276276277277277277277277277278278278278277278277276276276276275276276276275274271270269266265263263262263263264265266266266267267269268271270270271271270271273272272272272272272271271271270270268268267267267267267267268269270270271271271271270270270269267266263262262261261259258258257257258259258258258259258258258258258258256255253252253251252253253254256256256256256256255255254254253253252251251250250250250250250250251251252252252253253254254254254254255255255254255258258253251252253252253255253251252253253254254253255256258258259259260257259261261258258260260261262262262260260262260261263264264263263263263263263264264265264264264264265265264264264264265266266268267267267266267267267266265267266267267267266266265264263263262262262261260261261262263262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262262262263263263263263263263262261260258255253252255256256257257256256255254253254255257257257257256255254255254250250249247245244243243240242243244246246248249249249250250251252252252253255256255257256257259257258259259258261261264266266268269270270269268267268267265264999263264263261263263264999999999999999999275273273274271272271269263262260258258260258258999999999999999999999999999999999999999999999999999999999273272273273273274273273999999999999999999276277277276275276276276276277277277277277276276276276276276276276275275276275275276276278277278278279279280280281282282281281283280279280280281282282284284284284284287287286287287285288289287287286286287287286285286286285285285286285285285284285285286287286285285285285286285284285284284284284285284284284283284285284284284286283283283283283282283281282281281281281280280282282280281281281283284286285286286286284288285282282281282280283283283284284283282282282283281282282285285284283284285286282282283282281281282280282283283282281279279275277277277277277277276277277277277277277277279279278278278277277276276275276275276276275274271269269267267265264263264265266267267267267268269270271270272272272272272272272273273273273273273273272271271270269268267267267267267267267267269270270271271272272271271270270268266263262261260260259259258258259257258258258258259259259259258258258256254253252253251252253254255257256257258258257256255255255254253252251251251251251251251251251252252253253252253254254255255255255255256256256256254258254253252252253253253253253253254254255255255256257257259260259259258261261261260262262260262262262262260263263263263261262264264264264265265265265265265265265264264264265265264264265266266267268268268268266267267267268267266266266266266266266264264264263262262262261261262262263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262263262262264263262262263263262262259257254253254255257258257256255254253254255255256256255256256256255254252252252252250249247247246245245246247247247248250252252253253253253252252253255258260260262264266267266266265268267266268268269271271271270268267268267265265263263262263262259268270999999999999999999999276276276275999999269267265265265263262258260999999999999999999999999999999999999999999999999999999278278278277277277276275273273999999999999999999277278278276277277277276276276277276276276276276276276276276276276276275275275275277278279279275275279280281281282283281281282282275277278279280281281283284284285285285287285286286285288283283283284288287287287286288288288288287287286286287285284285286288288284284285285287285286286284284285285286285284284284284284285285284284284284285283283283283283283281281280280281280282281281281282282283284284285285285283284283285282282282282282280280283281282281280283284284282279280282279280281282285284280280280281279282280281283283282281277276275275278277275277276276276276277277277276277278278278278278278277276276275276276276276276275271269269267267266265263265266268268268268269269270271271272272273274273272273273272274273273273273273273273271271270269268267267267267267267267268269270271271271272272271272271269268267264262262260259260259257258257257257257257258259259259259259259258257255254252253252252254254256257258258258257258257256256255254253252251252252252252252252252252253253254254254254255255256256257257258258258258256255255259255254253255254254254254254255257256257257257257259260260258259261260260260262263263262262262262262260263263263263264264264264264265265266266265264265265264264265265265264264265266267267268268268268268269268269268268268267267267267267266265264264264263263263262262262262263263263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260262262262262262261262262263262262262259259254253254256257258257256255255254254254254256256255256256256255253252250251253252252248248248248247246246246247249251254253253253254252999999251255260262263264268269269272272271271270272271272273272272270270270268267265264264264260258260261999999999999999999999999999999999999999999999999999266263265266265264999999999999999999999999999999999999999999999999999999999279278277278277277277277277275273999999999999999275275276276276276276276275275276276276276275276276276276276276277276277276276277278280276281278277278281281282282282282283282282280277278279277279279280282285286287287287288286284284285284283284287288289288285288288287287288288287287287287287285286287289287287284284285286286286285286285286286285286286285284284284285286285285284284284283283283282282283282280282281282281281279281280281282282282283284284285285282283282282283283282285285281282281281283281284284284284282279279279281280282284283283280280284281279281282282283282281280280276275277277277276277277277277276277277276276277277278278278278276276276276275276275275274275273271268268266266267267266266267269269269270270270273271272273274274274274274273275273273273273273273273273273273271270269268267267267268268267268268269271271272271272272272272270270269267265263262260259259258258258258257257257258258259259259259259258257256255254253253252253253255257257258258259258258257256256255254253252252253253252253253253253254254255255255255257257257258258258259259259259258258256256259258255256255256256254255255256257257256257258258258259259259259259260260260259261261261261263263263263262262263264264264265265265265265265265264265266265266266266266265265265265267267268269269269269269269268269269268268267266266266266266265264264264264263263263262262263263264264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262261262261260261262262263263262259258253253254256255257258257256256255255255254255255254257258258255252250252252252252251252249249249248247245247248252254253254258999999999999999999258261264266269271271271273273274273272273273274273273272271270269267265261260259261260264999999999999999999999999999999999999999999999999999999268262261262263263263999999999999999999999999999999999283282283281280999999999278277276276276276276277276275275275273272272275275275276275275276276277276277276276274275276276275276276277277277277276276276277279279279280282279281282282282279281283282282282282281281281279283280280281284285286287288288286288289289288286287286285287286285285288286288288287286286286286286289287285284289289284284286287286286286285286286285285286285285285284284285285285284283283283282283282282283282281282282281281281280280282281280281283283283284284285285282282282286286283283283283282282284285285284284284284284283284284283283283283285281283284283282281281281282282281280281280280278277278277275276278277277276276276277277278278278278278278277276276276276276275275275275273271270268268266267268269269269268270270270272271272273274273273274273273273274273273273273273273273273273273273273272271270269267267267267268268268268270271272271271271272272272271270269268266263261260260259259259258258257258258258259259259259259259258257255254253253253253253253255257258258258259258258257256256254254253252253253254253253253253254254255257256257257258259258259260260261260259260259259259258259260260261258257257255257257256256256257257258258258258259259259258260261260259261261262262262264264264263263263264264264265265265265265265266265266266266266266266266265265266267267267269269269269269269270269270269269268267266266266266265265265264264264263264264262263264263264264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262262261261261261262262263263260258258253253254255255255256257257256255255255254254254252256259258256253250249251248250249250247249248248250249249251253254255257999999999999999999999261263266270272272273274274274274274274274275274274273272272269267265265261258263999999999999999999999999999999999999999999999999999999999999279272262255252260264263999999999999999999999999999283283282282281280279280999278276276275275274275275276276275274274274273275275275275276277278277277277277276278276276276276277276278278278278278277278278278278279279280283282280282284282282282281283282282282281283283283284284283284285286285281286287287286287288289288285289288288286287287287287287287288288287285285285286287283287285287287286283288287286286287286286285286286286286285285285284284285284284284283282283283282282283283282281281281281281280281281280280281283283283284284286282282281282284284285285283281283282281283286285285284283281282283282283282283283283283284283284280282281281283283280280280280280278278277277275275276278277276277277277278278278277278278278276276276275276276274274274272270269269267268269268269270271271271271273273273273274273274274274274274273273273273273273273273273273273273274273273273272271270269268267267268269269269270271271271271271271272272271270269268267264262261260260259259259259258258258258259260260259259259258256255254253253253253253254255257258258258258258258257256255254253253253253254254254254254254255257258259258259257260260260260261261261261261262261263260259258258259259259258257257257256257257257257257260257258259258259259259259261261261261262262264264264264263263263263264264265265265265265265267266266266267267268267268267267268268268267268268269269270270270270271270270269269267266266266266265264264264264264263264263262263263264264264265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260261262260260261262262263263260259256254253254254254255256256256256255255255254252252251254257258256252249248251251251253250250249249249248248250250254255256259999999999999262264265267269273274273272274274274275274274275275274274274273273268266265264264260263260999999999999999999999999999999999999999999999999999999999999999999274251248252262265270266999999999999999999999283283282282279278279278279278277276275274274274275275275275275274274275275275277278278280279278277277276277278277277276276277276278278278278278278279279278278279280280283282282282283283282282281283283283283283284285284283282281284281282282282286288287287286287288287285289287287287287287287288287287288288287287287286288288288288284284287286285287287286287286286286286286286286285284284284284284284283284284281281283281282283283282282281282281281281282282280280280282282280282283285285285282283283285284284283282282280280281285286285283284283285282283281282282283283282284282283282283283283283283281279279280280279277277277277275274275278277277277277278278277277277278278276276275275274274274274273272270271269265266268269270271272273272272273274274274273274274274274274275274274273273273272273273273273273274273273273272273272272271270270270270270270271270271271271271271272272272272271270270269267266263261261261261260260259259258258259259260260260259258257256255254254254253253253254255258257258258258258257257256255254253253253254255255255255255256256259259259260260260260261261262261263262261262261261261260259259259259260261259258257257257257258257257257258258258258259260258259259260261261261261261263264264263263263264264265265266266265265266267268268267268269269269269270268269269270268268268268270268269268269269270271270269269267267266266265265265265264264264264263263263263264264264264265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259261261259259261260262263261261258255254253252254254255256256256256256256255256254252252252254256255252248248250250253253252251251250249248249251251254256258260262263265267269271272273273274273273274274275274274274274274274274274273271269268264262264263260260261263999999999999999265266999999999999999999999999999999999999999999999251246250256259264999999999999999999999281282281281280278278279278278278278276275275274274274275275275275275275277277278279279277279278276277276278278278277276276276277277278278278279278280280280280280281281281284281284284284284282281279282283282282284284284281283283283283284286285285286287287287286283288283286287285286287287289287287287285287288288288287287288288288288287286287284285287288287287286287286286286286286285284284284284283283283283283282282282282281282283281281283282281281281281280279280281281280280282284283284282282283284284286282283281281281282281285286285284284283283284284283281282283283283283285283282282282282283282280279277278279278277276277274273274276276277276277278278277278277277277277276275275275274274274273272270270270270270270271271272273272273273273274274274274274273275274273273275274273272272274273273274273273273274274274273273272272272272272271271271271271271271271270271271271271271271271270270270269268267265263262261261260260260259259259259259260260260259257257256255254255254253253253254255256257257257257257257256255254254254254255254255255256256257261259261261261261261262262262262261261262262263263262262262262261260259259260259260259258259257258258257258258258258258258259260259259260260260260260262262262263263263263264264265265266266266266267268269269269271272272272271271271271271271271271269270269271269269269270271270270269269269268267266265265265265265263263263265263263263263265264264265266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257260262258259261263263263262260257256255254254254254254255256256256256256256255254254253252253255254252250249249250251255252252251251250249250251250254256257261264266269271272274274274274275276276275275274275274274275275274274273273269269268265263264261260260261263265276999999999275273999999999999999999999999999999999999999999999261255260265265270999999999999999999280281281280279278278278279279279279279279277277276275276275276276275275277278278279280280279278277278278278277277277276276276277277278279279279279279280280280280280281282285285282281282282284280280277278281282282284283284284284284284284285285286285286285287284283283287284286287286286285289289288287288288287288288288287288287288287288287287290286287287287287287287287287286285286286285283283283282282283282283283283283283283281282282281282282282282280280280280279280281282282283284285284285283284284284283285285286285285285285285285286286284282283282284282282282283282282282283284283283282282281282282278277277277277277276276278277276277276276276276277278278278278278278276276275275276275274274272272271270271271271271272272272273273273273275274274275275275274274274274274273274274273272273274274274274274273273274274274274273273273272273272272272272271271271271271271271272271271271270269269269269268268267266265264262262261261261260260260260260260260260259258257256255256255254253253253254255256257257257257257256255254254254255255255256257257258258259263261261262262262263264263263264263262264264264262264266266262262262261260260259258260260260258258259259259259259259259258258258259260260260260260260262262262263263263264264265265266266266267268268270270271273272273273272272272271271271271272270270270270270270270269270270270270270269268268267266266265265265264264263263263263263263264264265265266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259261259260260262262263262260259257256255255255254255255255255255256256256256255255254253254254255255252249248249251253253252253252252250249250252256258258259263267271271271272273274276274276276276275275275275275274274274274273270270267264262269261260260261262999999276999999999276271270999999999999999999999999999999999999999999261257267271268269272999999999999280280281280280279279279279280280280280280279278277276276275275276276275275276278279279279280278277277278277277277277277276276278278279279279279280280281280281281281283286286285283282280283285285285284283281281282282283284278282284284284283280280279284281284284282281282284285286286287286288288287288286286288286287287287286287287287286287287286288287286286286287286286286285286282284285284284284283281283283283282283282283283283282282283282282281281282281280281281280280280277280280281282282281283283283283283284281282286281281281286286285285283282282282283282283283282282282282282283283283282281282283279277277277277276276276276277277276276275276276276278278278278278277277276275275276275274273272271270271271271272272272274272273274274274274274275276275275275274274274274273272272272272273274274272272274274274274274274273274273274274273273273272272272272272272271271271272271271271271270270270270269269269268267266266264263262262261261261260260260260260259258258257256256255255254254253253253254255256256256256256256254254254254255256256257258259260261261263263264264264265265263265265266263264263265265265265265264264263263266263261260261261262262260259259260260260259259259259259258260260260261261261263263263263263264264264265265265265266267268269270269271273274272272272272272273272271271271271271271271270270271270271271270270271270270269267267266266266265265265264263263263264264264264264265266266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258259259262262261261261260258259258257257256256255254254255254255256256256255255254253253252253254254252250250252254254254253253252252251251254258259260261263267270271272274274276276276276276276275276276276275273273274273270269268266264265269264265266267268270999999999999999999999270276999999999999999999999999999999999999999999270274275274274277276999999999280280279280279280281281281281281281281280280280279278277276275275275277276277278279279281280278278277276277277276276276277278279280279280280280280280281281281282284284286287285284285285281285284281284283283282284283283281282282285284283283281281282283283282285284284285287286286288287288289289286288286286287288288288287287286286286285287287288287286285288283286286287283282283284284285284283284283283283282283282283283283282282282283282281281281282281281280282284280281278279280280281282281282282283281282283282285286281281281280285285284281282282281282281283284284283282283283282282282282281282282282279277277278277276276276277276277276276275276277276278278278278277277276275275275275273273270270270272273272270273270274272273273274274274274275275274275275275274273274274273273273273273274273273273274274274274274274274274273273274274274274273272273272272272272272271272271271271271271270270270270269269269268268267266266265264263262261261261260260260260259259258257257256255255255255255254254254255255255256255256255255254255255256256257258260261262262263264265265266265265265264265264264264264264266266264265264265264264264264262261261262262261261261263261261261263261261260260259260260262262263261261261263263264264264264265265265265266267268270270270271274274275272272273273273273274272272272272272271271271271271271271271271271270271271269268267266266266265265266264264264264265265265265266266266267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257258259261261261261260261260260258258258257256255255255255255256255256255254254254254253252252253253253252252254255255254254254253253252254256261261263265268268270272273274275275276277277276276276278277277276276274273272271269268999271267270268269271272272271272999999266265999999271275999999999999999999999999999999999999999271275274275276277276277281279280280280280280281281282283283282281280279279280282282280279278277276275275277276277279279278279277277278278278277277278278279279280280280280279280281281281282281282282284285282284284285285279284285286284284284284284282282284284280282281283284281281282283284286286286281287288285288285288288287289284285286287288287288287287286286286285287289290289286284287288288285285284283285283283282282284283283283283282283282283283283283282282282281281281281280281281281280281282278278279280279279281279280282282280279281281282281282281281281285285284285284284283282284283280283283282282281282282283282281280281281282280277277277277276276277276277276276276276276276277277278278277276274275275275274273273272270271272273272272269273273274274274274275275275276274274274275275275274274273274274273275273274272274273273273274273274273273273273273274274274274274273273273273273272272272271271271271271271270270270270269269269269268268268267267266265263264263262261261261261260260259258258257256256256255255255255255255255255255256256256256255255256257258257259261263263264265265265266267267267267267267266265266266265265265265266265264264265266265264263263262264264262262262262262263264264264263263260262262260261261261261261261263263263263264264265265266266268269270270271272274274275275273273273273274274274273273273273273271271271271272272271271271271271271271269267267266266266266266266265265265265265266266266266266267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254258259260261261260260260260258258258258256257256255256256255256255256256254254253254254253252252252252252253254255255254254254253254253254255259262264264268269270270271271275275275276277277277277277278279278277276274273273273271274999999271270270270271273273272271261260258260999264269273999999999999999999999999999999999999268274275275276278278278278279280281280280280280281281281281282281280280280279279280280281281279279278278277277277277280279279280279278278279279279279279280280280280279279279280280281281281285284284284284283283283284285287285285285286285284283282283282282284284285285284284284285285285285285285288288285285287288288288288289290289289289288288287286285287286286286285285284290289288287288288288288288287286286285285284285285284283283283283282282283283283283283282282283282282282282280281282281281282282280282282283283284281280282285284283283283284284284285286286285285285284285284282282281285282283284283282282282278279280281280281282282279280280278278277277276276275276276276276276275276276274278277276276274274274273272270271271271272273273272272273272272273273274275274275275275275274274274275275275274273274273274274274274274272273273273273273273273273273274274274274274274274273273273273273273272272272272271271271270270270270270269269269269269269268268267267266265265264263262261261261261260260259258258257257256256256255255255255255256255255256255256256257258258258260260262264266267267269268268266266267267268267267266267267267266265265265265265265267267266265263264263262264265265263263263263265265264264264264264263261261261261261261263263263264264264265266267268269269270271271272274275275275275275274274276274274274273273274273273272272272273273272271272273272272271270270268267267267267267267267266266266266266267267267267267268269270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259261261260260260260260260260261262261258258256257256256256256256257256255254254254253253253253253254255255255254254254255256256256255256259262264265266269269270271273274275276277278278277278279279279278278276275275275275274275276276273272271271272273273273268264262256256257260274277999999999999999999999999999999999269273275277276277278279279279279280280281280280279279279278280280279280279279280280280281281281281281282281280279280279279280280280279278278278278278279280280280281281281281281280280282282284287287287283285285283284285284284284283284284283282281280279281282284284285284279280281284282282286287287288288285286286288288289288290287285284285287289287287288285285284284283287288289290288287287288287287287285283283282282281282280283283283283283283282284283284283283283282282281282282281280281281281281281281281279280282279281281282280280282282278280281282282282282283286285285286285284283283284284282282282282283283280278278279281281280281279279279280278278277277277274274275276277276276276276276278277277276275275274273272270270271271272272272272271272272272273274274275275276276276275275275275274274274275275273274274274275273273274273272272273273273273273273273274274274274274274274273273274273274273273273273272271271270270270270270270270269270269269268268268268267267266265265264263262262262262261260259259258258258257257257256256256256256256255256256256256257258259259260261263264265268268267269268268268267268268268268268267267267266266265265265264265265265265265264264265263263263265265266266266265266265265265265265265263263263262263264265264265266266267267268269269270270271271271273274275275275275275275274274275275274275274274274274274273274273273273273273273273273272272270269268268268267269268268268268267267267267269268268268268269270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260261261260261260260258262262261261259259258257257257258258258258257256254254254253254255255256256256256255254255257257258258256257260262264264266269270271272273274276277278278278278280280279278278277277278277277278278279278278277275274273273274274274272268267999999999999274276999999999999999999999999999999999271276277276275277277279279279280280281281280280281281281280280280281281282282283282282283283283283283283284282282281279282280280278279279278278278279277278280280281281280280280280281286287283288286284287287286286284285287284285285285285284279281281281282285283284284280281279279285285286288288288287287287286285287289289290290287284288283286288289287287287286286283287288289287289288287286287287285285283283283281282281284283283282280281283284284285284284286284281281283283283281281280281281281281281282280282284284279280282281282279278281281282283282281281282285282282284286286285283285284284284282279280281277279277278278281277280277277279277278278277277275275275276276276276277276275275275276277276276274274273271270270271271272271271271271271272273273273274275274275275276276275275275275275275275275275275273274274274275274273274273273273274274273274273274274274274274274274273273274274274274274273273273272271271271270270270270270270270270269269268268268268267267267266265264263263262262262262260260259258258258257257257256257256256256256257258256256257258259260260262263264266268268268268268268269269268268268268267268268265267266265266266265265265265266265265265265266265265265266266267266267267267267267267266267265265264264264266266266267268268269269269269270270271271271271273275275276275275275275275274275275276274275274274274275275274274274274274274274274273273272271270269269269269268268269269269268268268268269269270269269270270271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263262262261262260261262263263262261258258257258258259259259258258257256255255254254255256256256255255255256256257258259259258258260262264266268268271272272273274276278278278278279277279280279279279280280280280280280279279278278277277276275275275275274271271999999268272272999999999999999999999999999999999271274277276275275278279279278280281282283283283283282282282282281282283283283283283283283283285285285284284284283282281280282281280280280279280279279277278278279278280279281281283283284285287284285288285288286284286285285287286288287286286284282282282282283284285286287285282283285286285285284285286287287288287286287287289290288288290286288287287288286287286286287287286287288288288288288288287287287287286285285284284284284283284283282283284284284285285287286284283283284283282282281282282282282282282282283283282283283283283282282282282282281283285283283284285284283284286287286286285283285286285283281280282281281280281280280279280279280280279279278278277277277277277277277277277276276276276276276275275274273272270270271271272272271272271272272272274272273275273275275275275274275275275275276275275274274274274274274274274273274274274274274274274274274274274274274274274274274274273274274274274274273273272272271271271270270270270270270270270269269268268268268267267267266265265264263262262262261261260260259259258258257258257257257257257257257257257258258259260260261262264266268268268268268269270270270270270269269268269268268267266266266267266265265266266267266267265266265267266266267266266268269267268268268268268268268268268267268268268268269269269269270270271271271272273273275276276276276276275276275275275275275275275275276277276276275275275274274274273273274273272271270270269269269269269268269269268269269269270270271270271271271272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260261262263261261262262262262262259258257257258259259259259258258257257256255255255256257256256255255256257257258260261260260261262264265267269270272271272272273275278278278278278277278279278279280281281281280280280279278278278278278278278277277277275272272999271275277275999999999999999999999999999999999274276275276277279279280281281283283283284284284284284283283283283284283284284284284284284286285286285285284284284283283282282283283281283280280280280278279279279279278279282284285284288288284285284284283287284286287285286286287286286283284286284281283279284285285286286281282280279280280284284284286287287287288289286289290288287288285283285284285288287287287287287287286287285286286287287285285283283283284282282283282284283284285285284284284284284284284286286286286284284283284283283283282281282282282283284279279281280282279279281281282282282280284283283282283282284286286286284286286283284285286285284281278279279278278278277277278278279279279279279279277277277277277277277277277277276275276276276275274274271270271270271271271271271271271272272273274274274275275275275276274275275276274274274275274275274274274274274274274274275275275275275274274274274274274274274274274273273273273273274274273273273272272271271271271270270269269270270270270269269268268268268268268267266266265265264263262262262261261260260259259258258257257258258258258258258258258259260260261260262263266268269269270270270271272272271271270270270270269268268266267266266265266266266266267268267267267268268268268269269269269269269269270269270269269269269268268268268269269269269270270270270271271271271272273275275276276276275275275276276276277277277277277277277278277276276276275275274274274275274274273271270270270269269269269270269270269269270270271271271272272272272272273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260262263262261261262264262262259257258259260260260260259259258258258256256256256257257256255256257258259259260263262261261262264265265267268269270271270272273275276277279279277279279279279280280281281279278279280279279279278278279280280279279278277273271267272276999999999999999999999999999999999999999275275276277280281282283283284284284283283284284284283283283284284285285284285284285285286286286286287286285283284283283283284283284282279280279279278278278278278279281281285285285285286285285284285288287288288286288283286287287286286286284285284284282283285285286285284285286282284285286282285284287287287287289287288289287286286284286284284284285287287287287286286286286286283285285284283283283281281282282282282282282284284281281285284280284284285286284286287287284285284284284283283283283282282283280283283283280283283283280279279279280281279280279283282282281284286286287285283286285285285286287286285281280277278279278279279278279278279278277277279277275276277276277277277277277276275275276276275274273272270270270271271270270271271271272272273273274275274275275276276275276275275275275274275275274273273274274274274275274275275275274274274274274274274274274274274274273273273273273273273273273273272272272272271271271270270270270270270270269269269269269270270270269268267266266266265264263263263261261261260260259259259258258258258259259259259259259259260260261261263265267268270270270271272273273273272272272271270270269268267266268265267265266266266266267268268268267268268268268270270270270271272270271271271271270271271269271270270270270270270271271270270271272273274275276277275276276275275275275276277276277277277277278278278278278277277278277275275275275274274273273271270270271270270270270270271270270270270271272272272272273273273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264262262262262261262260259258259259260261260261260260260259259257257257257257257256255256258259260262262264264263263263264265266267269269270270270272273275278277278278279280280279280280280281281279277278279280280279279279281282282282281279279276273270267999999999999999999999999999999999999999274275276278279281283284283284284284284284284284284283283284284285285285286286286285286287286286286286287285285284284283283284284284284283282279280279278278280281281282285282285285285286284283286288288288288290289288288285286286283287286286284285284284283285286286285285285285284285285282282284285286287287285286286286287286285286284287283283284287284284287287287285285285286285285284285286284284284282284283284281281282280281280281280281284284281284284285286286287286286286285285285284284283283282280283281281280281282285280282279280281279280280280280279278278281282285286286287284287286286286285284286285282282280278278278279279279279279279278278278278277277277276277276277276277277276276275276276276274274272270270270270270269269268270271271271271273274275276274275275276276276275275274276275275274274273273272273274274273273273274275274274275274273274274274273274275274274273273273273272273273273273272272272272272271271270270270270270270270270269269270270270270270270270269269267266266266265265264262261261261260261260260259260260259259259259259260260260260260261262262264267269270271271271271273273273272272272272272272272270269269267267266265265266266266267268268268268269268269268269269270271272273272271271272272272272271272271273271271272271271271271271271273272275275276277277277276277276276276276276277277277277278278278278278279278278278278278278277277275274274274273273273271271272271271272271271271271271271271271272272273273273273273274275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268999999999999999999999999999262262262263261261261259259259259260261260260259259259259258258258257257257255255255257258261262263264265265264264264265266267268268270270271271272273276277279279279279279280280280280281281281280279279279280281280281281282282283283282281280279277273270999999999999999999999999999999999999999274276278279281283284284283285285285285285284284284284284285285285286286286286286287287287287286286286287286286286286285283284284283284284282283281281281280280281285283283283286286284285284284288288288289288289290288288285286287287286285284286286283285285286286285285285286285285285286286286286286286287287286286285284286286287287287286285288287287286287287287287287286286285285285285285285285284283283283285284284283284284284284283285285285283283285285286287287287287287287287286285284284282283283283285286285284286285284285284282283282282283284283283282283282282285286286286287285287286287287287285286285285286285284282282282282280280279279279278278279278279278277276276276276276277277276276276275275274274272270270270270270268268269270270270270271273274274274274275276277276276275275275276275275275274274274273273273273272273273274273274273274274274274274274274274274273273273273273273272272273273272272272272272272272271270270270270270270270270269270270270270270270270270271270269268267267266265264263262262261261261260261260260261260260260259259260260260260260261262264267268269271271272273273272274273273272272272273272271270269270268266266265265266267267267267268268268268269269270271271272271272272272272274274274273273273273272272274273273273272272272272274275275275276277277278277277277277278277277277277278277278279279278278277278278278278278279279278278277276275275274274273273272273273272272272272272272273272272272273273273273273273273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267999999999999999999999999999999263263261261260260260259260260260260260260259259259258258257257258257256256257258259261263265265266265266266265265267267267269270270270272272272274276277277279279278279280280280280280282281281280281281282282282283283284283284283282282281279277275272999999999999999999999999999999999999999273276280281282284284284285286285286286285285285285286285286286286286286286287287289287287287286286286286286286286287288285283283284284282282282281280281280282283283284285283284284284284289288288289288287287288288285287285283287287286285284285286285286284286285284286285285285284286284286286286287287285286286286284284282282284282286289289289289287287286287287286286286286285284283284284282284282282281284284283283283280281280281280281282282282282285285285286287288287285287284284283286286284285283285282284282281282280281282281280282282283283284282283282283284283284285285286283286285283283284284283282283283282282283283283282281281280280279279279279278278278277276277277276276277277277276275275275275274273272270269270270270270270270270270270272273273275275276275276277277276276275275275275275275275274274273273274273273272274274274274274274274274273274274275274274273273272273273273273272273273272272272272272272272272271271271270271271270270270270270271271271271271272272270270270269268268267266265264263262262261261261261261260262261261260260260260260260261261261262265267269271271272273273274273274274274273273273273273272270270270269268267265266268268267267267267268269268269270271272271272272272272273275274275275274275274275275275274275275274274273273273275275275276277277280278278278278278278277278277277278278278278278278278278278278278278279279279280279278277275275275275274273273273273273274274274274274274274274274274273273274274274274275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269999999999254255999999263263263263262262261261261260260261260260260260260259258258258257256257259261262263262264265266266266267266266266267267268269270269271271272274275276277278280278280280280281280279280282281281281281282283283284284283284284284283282282281280277274274277999999999999999999999999999999999999274278280281282284285284286287286285286287286286286286286286286287287287287287287287286287286286287285286286287287287285284285285284284284284283282283282281284281284285285284283286284286288288289288288287288284288287287285286287287287286287286283284285285284285284284281285285284285285285285286285286285283285286286284284283284283282286289289289288285284286283286285286283285282282281282283282280282282283283283283283280284281281282282283282283284284286286287287287286284286283282283286286285286288286283283282285283281286284281281281284284283282282284285281282284285285285283284286286286286285284283283283284282283284284283283282282281280280279280280278278278278276276276275276276276276276275275275275274273271269269270270271270270270270270271271273273275276276276276277276276275275275275276276274275275272272272272272273274274274274275274273273274274274275275274274273273273273273273273273272273273272272273272272272272272271271271270271270270270270271271271271271272272271270270270270268268268267266265265264263262262261261261261261262261261261261261261262262262262264266269269270271273274275275274274274274273274273273273273271270271269269268266267267268268268268268268269270271270271272272273272273274275276276276277276276276276276276276276276275274274274273274276275276277278278278279278278278278278277277278278278277277278278278278277278279279279278278279278278277277277276275275275274274275275275275276276276276276275276276275275276276276276275276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270999999999999260263264263263264263263261260260259260260260260260260261260258258258257256258259261262263264264265266267267267267267266266268269269270271270271273273275276277278278280280279281281280281281280282281282282282283284284284284286285285283282281281280279276275277999999999279277999999999999999999999278280279281283284283284286286285286287287288286286286287286287287287287287287287287287287287289288286286285287286289286289285286286283286284285286284283282282285285286283284287285288288288289289288288287284285285287286285286286287287287285286285283280284282283280284285285285283286284286286286284285285285283286285283283281282286284289288288286288287283286283282280285285283283282281283283282282281282282284283283284283284283283284282284284285286287286286287287288288288288287287287287287285286287287287287289285284284285286286285285284286285284285285285286285285284285286287287284286286286286286286286286284283284284284283284284284283282282281281280279280278278277277277277277276277276276275275275275275273272270269270270270270270270270271272273274275276276276277276276276275275275275275276275275275273272273273273274274274274274274274274273273274274274274274274273273273273273273273273273272273273272272272273272272272272272271271270270271271271271272271272272271272271271271271269269269268267267266266265265263262262261262262261261262262262262262262262261262262264266267269271271272274274275275276274274274274274274274273272271271270269271270268268269268268269269269269269270272272271271275272273273275276276278277279278277276277277277278277277276275274273273273274275276277278278277278279278278278277277277278277277277277278279278279279279279280279279278278278279279279279279278277277277277277277276277278278278278278277277277277277277277277277277278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272272271999999999264266266265264263261260260259259260261260260260260259258258258258257258259261263264264264265265266267267266267267268267269269270271271272272274275276278278278280280280280281280278281281282281282283282283284285284285285285285284282280281280279277276278999999999278999999999999999999999277279280280281283284285285286286285287287287287288287287286287288287287287287287287287287287287287288287287287286286287286285286285284286286285286286286286286287287286286284286287290289289289290290290289288289288287284287287287285287287286286286285283283283284283282284285285283284285286288287288286286287287285284285286286285285285285289286289287288288288288287285286285284283281280280283282282281281282282283284283283283280280280281281281282282282286283287287288289288286285285288285284284283287286286286283282285283286284280283285283283282280280283285286282287285286286288284284283287285286284286283284284284285284284284284284284285285284284283281280280280279278278276276277277277277276276276275275275274273272270269269269270270270270272272273274275274275276276277276275276276275276275275276274275275275275275274274274275274275276274274274274274274274274274274273273273273273273273273273273273273273272272273272273272272272271271271271271271271271271271272272272272272271272270270269269269268268267267266266265264263262262262262261262262262262263262263262263264265266268269270271273273274274273273275274274274276274275274273272273272271272271271271269269268269269270269269271271272272272272274274274275276276277278278278278277277278278277278278277276276274274274274274275275276276277278278279278278278278278278277278277278278278278278278279279279280281280279279279279279281281281280280278278278278278278279279279279280279279279278279279278278278278279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270272273270269269269267267264262260260260260261261261261260260258258258258257257258260262263264265266266267267269265268268268269269270269270271271272273274275276277278279280280281280281279280280281282281282282282284285285284284285285285285284281280279278278278278999999281280999999999999999999999276278280281281283284285285286286286287287287288287288288288287287288287287287287287286287287287287287287288287287286287286286286284283285285284284287286286287287286284284287290290286284290290287288290289285287284284284284285285286283286286285285284283282282281282284283282285285285286287287288287285285287285284284283284285285285283284284285289288288287286282282281285284283282282282281282280279279281282283282282283283279280280280280282282282281283285287287287287289288287288286288288288285287287287287286286284284289286284282284285283283282284284284286287284288288288288286283284285285283287286286283284285284285285285285284285284284285285284283282281281281280278277280280277278277277276273272275276275274274273271270270270270270272273273274274274273275275276276276276275276276276276276276276275276276276276275276275275275275275275274274274274273273274274274273273273273272273273273273273273273273272272272272272273272272272272271272271271271271271271272272272273272272272272271270270269269269268267267266266266264263263262262262263263262262262262263263263264265266268269271271272273273274274274274274274275275275275275274272274273273272272271271271272270269268270270270271271272272273274274274275276276277277277278278279278280278278278279279278278278277276275276275275275276276277278279279279279279279278278278278278277278278278278278279279279280280280281281280279280280281281281281282281280280280280280280280280281281281280280280279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273272272270270269268265262261262262261262260261261262260259257257257257257258261263264264265266267267267267268267268270271271271271272272273272272274275277279280280280280281281280278278281282283283281283284284285285284284285286285285285283281280280278275999999999999283282999999999278276276278278279281282283284285285286287287287288288289289289287287288287287287287287287287287287287287286286288287287287287287286285285283285284282284284290290287288287287285287290290288288290290288287290290286284288284288287286282285286284284284285283285282282281280284285282286286285284285285285286286284284286285283285286286285284284283281283284286289290287287285283282282285283283280282282282278283281281281280282283282282279277279279279280281281283283284288287287287287287287288288287288289287286287287285285285285286285286285286285285283283285284285283286286287288286286283286283285287285285284287285285284285285286285285286285284284284284285284284284284283283280279278276278279279277276277274273275276275275274274273272272271271272273274274274274274275276275276277277276276276277276276276276276276276276277277277278277276276275275274276274274274274274275274274274273273273272272272273273273273273272272272272272272272272272272272272271271271271271272271272272273273274273273273272271270269269269269268268267267265264264263262263263262262263263263263263263264266266267269270271272273274274275275275273273275276275275275275275275273274274273272271273272272272270268270270270271271273274276275275275276277277277277278278279279281279280280278278280279278277276276277276276276276276277278279279279279279279279279278278278278278278278278278279279279280280280281280282281281281281281282282282282282282281281281281281281281282282281280280280280280280280280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272271271270269269270267265262262262262262261260259260260259257257257257259261263264264264265266267267267267268268269270271271272273274273274273274275277278280279279280279279280280281281281282282283282284284284285285285285286286285285285284283282281279279277278999999999279999999999277277277278279280282284285285286285287287287288288288288288288289289289289286288288286287287287287286286287290287287287287286286286287287286286284288288288292290289287286289291289289290289289290290290290290286291287291291289288287286284285285286285286286284282283284285285286284286286283287286285285288289290287287287288285287286286283281281284285285283288289287287284284286285284285285283283283282283281282283283284283282281281278279283282283283283284285286287287288287288286288288288288287286287286288285288286288288287288285287286285285285286287286287287287286288287288287284286285286287287287287285283284285284284285285286286285285285284283283283283283283282281281282282280279278278278278278278276276276276276275275275275274274273273273273274274274274275275277276277277276276276277276276277276277277277277277277276277277277276276276276276276275275275275276276275274273273273273272273272273273273273273273273273273272273272272272272272272271271271271272272272273274274274274274274274274273272270270269269269268267268266265265264264263263262262262263263264264265266265266268269270272273274275274274275275274274274276276276276276275275274274275274273273273273272274271270270270271271272272273274276276277277278277277278279281281280282282282281281280279279278277277277277277277277277277278278279279279279279279280279278278278278278279279278279279280280280281281281282282282281281282283282283283282282282282281281281282282282283282282281281281280280280280280280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271269267269269269267267262262261261261259258257257256257256256257258261262264266265265265266267268269268268269267270270271273275274273275275275277276277279279279279279280280281280281282283283283284283284284284284285285285285284285284284285284283281281280280280279279279999999277276276277278280281282284285286285287288288288288288289289289289289289288288286287286286287287287287287287287288287287286286285286286285286291287288289289288291292288287288289288288288286287290290290290290291287287288291287286289286287287283285287287287285281282282280284282285282287286285284284282282283285290290289285285282282284284280281282283282284284287285287286286283282287281285283282284283282282282284285284284283281277278279279279278280282282282283283283284287286284286287285286286284286284284284283284285286286286286286286286286285286284286286284286285284284285284283284287288285285285284287287284283283284285286286286286286286286284284283283283282282282283281281280278278281280279278277278278277276276276276276276275275274274274274274275275276276276277277274277277276276277277276276276276276276277277277278277277277277277277277277277277276276276275276274275275274273273273272272273273273273273273273273273273273273273272272272272272271272272272272272273274275275274275275275275275273272271271270269269268268267267266266266265264264264263263264264264265266267267268269269271273274274276275276276275275274275276277277277277276276275275275276274273273273273273272273272271271272272273273275276277277278278278278279280280280282282282282282281281280279278278278278278278278279278279279279279279279279279280280279278278279278278278279279280280281280281281282282283284282281281282284283283283283283283282282282282282282282283283283282282281281281281281281281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269268269267268268267266262263261261260260259258257257257258260261262263265266265267267268268268268268268269269271272272274275276276275276277276277278278279279280280280282280281282283283283283283283283283284284284285284286286286286286286286285283283282281281279999276276278279280280281283283283285285286286288288288289290290289289288287289289289288288287287287287287287287287288287290290286285284286285285285285293291292291292292286286287287287285287289290287290291290290286289287290285286286286285285287287287285285285287285282281282282281282286286284285284282285283284282285285289288287284285285283281282281282282282288284285285284284283284282287282284281282283282280279282285285284282279278279279279280279279281281281281282283283281283284284284285285285285286283283285285282287286286285287287287287287286287287287286286288285284284285284286285289286289289285285286287284284284284284285286286286286287287286286285284284283282282282281282279281280280282281281280279278278278278277277277276276276276276275275275275275276276276277277278277277277276277276276276275276277277278278278277277278277278278278277277278278278277277277276275275276275275274274273273273273273273273273274274274274273273273273273273272272271272271271272273273273274274274275274274275275275275275273273272272271270269268268267267267267266265265265264265264264265265266268269269270271272273274275276276277276276275275276276277279277276276277276277277277276274273273273274272273272272272272273274275276277277278278278279279280281281281282282283283283282282281280280279279279279279279279279279279279280279279279279279279278278278278278279279279280281282281281281282282282282282282282282283284284283283283283284283283282282282283283283283283283283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265269268268267269267264263263262262261261261261261261260260262262262263265266267267267268268268270269269269269269269270272272273274276275277277277277278279278280279279280281281283282281281283283283283283283284284284285285285285287286286287286286286285285284282281277279280281281281281283284283284285285287288288289289290290290290290290290290289287289288286286286287287287287287289290290288287288287291287287286288287288292287286287286283286287288287289290287291291290290291287290291287286286289285287287285283287287286284287284283283285285285286286287285285284284283282282281281283282286285282282282284281281281281281282283282282283284288288283283282280284284282283283283281281284283281278278279279280281280281279280282281282282283284287286283284285284287282287283284285286284286287287288286287287287288287287287288287286286286286285285286286283285286286288289288287287288287285285286287285286286286286287286286286286285284283283282282283282281282283282281281280281280280278278278277278276277277277276276277276276276276277278278278278278277277277276277276276276276277277277277278278277277277277278278278278278278278277277277277277277276276276275275274274274273273274274274275275275275274274274273273273273272271271272272272272273273274275275275275275275275275275275275274274274273273272272270270269268268267267266266266265265265265265265266268269269270271272273275276276276277277276275276276277278277277277277277278277276276276275275274274274273274274273273273274275276277277278278279279280280281281282283283283283283283283283282280280281280281280279280280280281281280280279279279279280279278279279278278279279280280281282282282282283283283283283282282282284284284284283284284284284283283283283284283284284284284284284284284284285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270269269269269269268267267265264261263262263260262261263264263264264264265265266267267267267267268268269270270271270270270270270271271272273274275276277277277278278278278279280280280280284281281281281282282282283283284284284284285285285286286286286286286285286286286285284284283282281281282282283284284284285286287288290290288290290290289290291290291289289289287287287287286287287288288287288291288287287286291286285287287292291287292291288286288286289287287290291291291290290290291290288290290288289286289289289289287287287286285287283286287288288290289288289286284284285284283285284283286285285284283281280282281283285283282281282280287287288287288286286284283284282284285283282282281282282282279279278280280282284280280282282283284283284286286288286285286284286287285284285285286287288288287286285285286286289289288286286286286286286286285287286285286287288288287287287286289288288288286288286286286286286286286285286286286285283282282282281282281282279282282281281280280280280279278277278278278278277276277277277277277277277278279279278278278277277276277277275275276276277277277277278278278278277277278278278278278278278278277276276276275276274276276275275275274274274274275275274274275275275274274274273273273272272272272273273272273274275275275276276276275275275275275275274274273273273272273272271270269269271268267267268267266265265266266267268269270270272273275277276277278277277277277277277278278278278278278278277277277277276276275275274273273272274276274275278276277277278279278278280280280281282283284283283284283283283281282281281282282282283281281281281281282280280280279279279280280278278279279279279280281281281281282283283283283283283284283283284285286286285286285284284285284283283283283283284285285285285284285285285285285284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273272271270269269268268267265264263262260262262262264264266265265265265265266266267268269269268269269270270271271270271271271271270270270271272272272275276276277277278278278279279280280279281281280281281281281281281282283284285284284284284284285285285285285285287287285285285285284282283999282283282283285285285285286288289289290290290290290289290289289289289287289288287288287287287288288288288288291287287290290291287286284285290290286287290285286290290287290290290290291289289290290290288289288286287290286286286285286283284285289289289285285285288285289288286285283285286283284283284284283285285284282281279281280280281281282281280281281287287287287284285283282281281280280282280280282281281281282278279280280279280281281282282281281281281282281282285286283284284283284284283284284285285285285285286286285286285286287286286285286286286286286286286285284283285285285285285287286289288286286286287288286286286286286285285286286285284284283283283281282281280278282280280280280280279280279280277277278278278278277277277277278278278278279279279278278277277277276276276275277276276277278278278278278279278278278278279278278278278278277277276276275276276275275276276275276275274274274274275275274275275275275275274274273273272272272273273273274274275275276276276276276276275276275276275274274274274273272272271271270270269268267267266267268266266266266268268268270270271273274275276277277278277277277277278277278278278278279278278278278278277276276275275274273273274274275275275277278277279279279278279279280281282283283284283284284283282281281280280280280281281281282282282282283283281280280280280280280280279278279279279280280281281282282282282282283283284284283284283285286286287285286285284285285285284283283283283284285285285285285286286285286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275273273272271271269269268267266265262261263260260261263265266266264265264265264265265268269270271269269269271271271270270272272271271272271270271272273274275275275277278279279279278279280280280281280280280281282282282282284285284284285284284285285285285285285285285286286287286286286286285284999282283284285283284284286286288290290290290290290289289289290289287289289289288288291291288288288288288287287287291290288288288288287284287290286285286286286286289290290287290287288288288289290290287290290288288288285285287287286286284286286286290285284284285285285285288284287284285284286284285286285286286283283280282280280281280279280282281281283284284283285285283284282281281281281279284282282282281281279278279280280279279279282282283282282281281284283282286283286285284284284284283284283283284285284284284284287286286285285286287286286286286287287285285285284284286283283284285287287288289288287288288288288287286286286286285285286285286284285284284283281281279278278281280280280280280281280280280277278278279279278278278279277278278278278278278278277277277277276276276277277277277277277278278279277277279278278279278279279278278277278277277276274275277276275275275276276276276275275274274274274275274274275276275276275274273273273274274274275275276276276276276277277277276276277276276275275275275274273273272272271272270269269268268267267269268267267268268268268269271271272274275276276277277277278277278277277278279279279278279279278278278277276276275275275275274274275275277277277278279279280279279279279281281282282283284284283284284283282280280280281281281281280281281283283283283282281280280281281281280279279278279280280280280281281282282283282282282284284283284285286287286286286285285285284285285285283283284284284285285286286286286286286286287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275276275273273274273272270270269268265264263262263262261261264265266265264264264264264265265266268269270271271270271271271271271271271272272272272273273273274275275276276277278279278278279279280281281281280280280281282282283283284284284284284284286286286286286284284285285286287286286286287286285283281282283284285284284285287287288289291291290290290290290289290290290292290290290291290288288288288291287287287287290290286289288287286288288288288285285286286286289289288288288289290288290288287288290291290288290289287290289289289290290286286288290291289286286288288287285288285283284285284285286286285285285283283283283281282280280279280281281286286282283285286286286282284283285280282282281282282279279281284278280280280283281282282283283280281285286284285286287287286285284284284283284282283283284285285285285286287286286285286286287285284286287289287288288287285286287288289287287287288289289288286287288288288288288288285287286285286287287287287287286285285283282281280280280280280280280281281281280280280279280279279278279279278278279278278278278278277277277278277276277278279279279279279279278279279278278278278279279278278278278278277276276276276276275275275275276276276276276276276275274274274275274274274276276277277275274274275275275275274276276276277277277277278277277277276276276275275275275275274274273273272272271269269269268268269268268268269269269269270270271272272274275275276276277277278278278276277278279279279279278278279278278277277277276276275275275275276276277277278278278279279279281280281281283282283283282283283284284283282280280281281281281282281282282283283283283283282281280280281281280279278278279280280281281281282282282283283283284284284285286286288288287286287285286285285286285285284283284285285285286286287287287286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278276276274273273273274273272271271269267266263262262263262262265265265265265264266264265265265265267268267268269269270271271272270271272272272272273273274275276276276277277277278278278278279279280281281280281281281281282282283283283284284285286285286285286285285284285285285285285286284999286286284999281282283286284286285287288288289291291291292291291290290291292293292292290291291291289292289289289292287285287288291288290289288288287287287289288287287289288286286289285286289290290285287286286287288287289288289289289289287287287287286287291291286290286286288285284286285284286286284288287286286285285283283284284284280280280281280280282283283286284284285285286285283282281284281281279282282283278278278279280278280280281282282283282282282282282281283283285286283286283285284284284283284282283284285284285285285287287288287286286286287287287287287289289287284284283283287288287285287288288287289287286287287285286288286286285286285284284284286286285283283282285283279281282281281280279280280281281281281279277280281280280278279279278279279279278278278278278278277277276277278279279280279279279279279280280279279278278276278277277278277277277277277277276276276275275275276276276276276276276275274273274274274275274275276278278277276276276276276276276276276277277277277278278278277277277276276276276275276275275274273274273273276271270270270269269269269269269271270270271271272273274275275275276276276277278278278277278279280280280280279279279278278278278277277276276276276276277277277278279278279278279279281281282283283283283283282285284284284284283282281281281281281282282282283283283283282283282281281281281281281280279279280280281281281281282282283283282283284284284285287288289288287287287286286286286286285285284283283284284285285286287287286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273999272271274277275266266269274274274273273272272270268267265263262263264263265267266265265264266266267266265265265266266267267268270271271272272272271272272273273274274276276277277277277278278278278278278279281282282282281281282282283282283283285285285285285285286286286286285286286286285285286285999999999284286281282285284283284285287287288289290290290291291291291291291290290290292291290290291292289291287288292292286287291291290289289289289287287287287289288288287288287287287288290287289290290288286288288288288288288289287288289287287287288288287287287287291291287289289287284284285286285284285288288286285285285282281283284283285282280282279282285283281285284284284285284284283283283285284279279283284278278278279278279280280281282282283283283283283282281286282282285285283284284284284284283282284284284285285285285285285285286286287287285284284283286284285286290288283283284282287289283284287285286287286285286290287287287286287286285286284285285285286286285283281279280283283282282280280280279279280280277278278278277281281280280278279278278279276279279278279279278278278278277277278279279280278279280280280280280279279279278278278278278277277276277277278277277277277276275276277277277277276276276275274274274274275275275275277279279278278278277277277276277277277277277278278278278278278277277277277277276276277276276275275275274273272273270271271270271271270270271271271271272271272273274275275276276277277277279278277277278280281280280280279278279279278278278277276277276277277277277278279279280279279278280280281283282282283282283283284285284284284284284282282281281281282282283283283283283283282283282282281281282282283281280280281281281282282282282282283283283284284284285285287289288289287287287286286286286286286286285284284284284285286286287287286286285286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273271273274269999999999272273274274272271270268267265264263263263264264264267266265266267268269268267267267266266266265267268270271271272272273273273273273274275275276277277277277277278278278278278278280281281282282282282282282282283283283285284285285285285286286286285285286285287287285285287285999284285284282283283283285285286286286288289290290290290290290290290290290290290291290290290289289289289289292291287287286289291292289290289289288286288287290290288290288287288288290289289290288288288286288289288288289290287287289288287287287288289289289288287287287287286284284286284290285284282285284282283285286282283281281281281281280280281284280283283281283283284284282284283283283281283280277279282282281279278279279278280280281282282283282281282282282281285283283286285285283284285285284282284284285283284285285286285283284283287283285283286285286287283285285289284283284285284284284284285285285288285286285285287288286286286286286285285285285285285284284283283282284284282282282280280280279279280280281279278278278278282282281279278278277278279278279279279279279279279279278278278279279280280279279279280280279279279278279278278279279279278278278278278278278278278277278277277278278277277277278277276275275274275275276276276278280280280279278277277277277278278278278278278279278279278278277278277277277277277278277277276276276275273272273272272272272272272272272271272271271272272273274275275275275275275277278278277276277278280280280280280279279279278278278278277277277277277278278278279279280280280280279281281282283283283283283283283284284284285285284284283282281281281282283283284283283282282282282282282282282282282282282280280280282281282282282283283283283284284285284284287288289289288287288288286286286286285286286285284283283284285285285286286285286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273273272271999269268265264263262259263264265266266266267269269270271270270270269268268267267268270271271272272273273274275275274276276276277277277278278278278277278279279280281281281282282283284283282283284285285285284285285285285285285284285286286287286286286285286285284284283284284284284285286286287288289289289289290290290291290289290291291290291290290289289289289289291290291288288289290288291290289289288288288289289290289289289289288289289289289290290290288288288287288290292289291291290290290288289288288288287289288288286286286284284282283285286285285288282282282283284284282283282283281281281283281282280280282282283283283282282283282283280282282280278280280279277278278277279279279280280280282282281282284280281284281283283286286284284285284284284284284284284284284284284287286287289287287287284285284284286286287286287288288288286285286285286284287287286286286285285285285286287286286287287286287287287287286287287287286286286284284282281281281280280280279280280281281282282282281281281280278279278278278279279279280279279279279279279278278278278280280281279279280281280280279279279279279279279279279279279279278278279279278278278279278278278278278278278278278277276275275275276276276278280281281281280279278277277278278278278278278278279278279278278278278277277278277277278279278276276275275274273272272272272272272272271271271270271271272272273275276275276276276276277278276276276278280280281280280280279279279279278278278278278278279279279279280280280281280280280281282282283283283283283283284285284284285285285285284283282282281281282283284284284283282282282282282282282282282283282282281281281282282282283283283283284284284285285285286289289289289288288288287286286287286286286286285284284284284285285285286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272272273271999999999265264264264263263264266266266268269270271272272273273273271270269269269269270271272272272273274274275276276276277277277278278278278278278277278279279280281281282281282282283283283283283285285285284285284284285285285284286286285286284286286286285284283284284285283284284285286287288288289289288290291291290289290289290291291291291291290290290289289290291291290287287287288287287287289290290290291290291291290289289289288288290288287291290289288289290286287288290288292292291292290288290290290289288288291287287286286284285284284282281283284283281281284284284283281281281283281280282282281281281281281281280280279282282282281278281276280279280280276277275278281282278277278278279281282281281280282283283283283283284286285283284285284284285285284285283283284284283283284286284288284288284288286285284285286283283284285284286287285284285285286286286285285283284284284285285284284285285284283283283283282283283283283282285284283282282282281279281281280280281278279279282281278281280279278279279278277278279280278278279279278279277277279279280279279280279279281281280280280279279279279279279279279279279278278278279279279279279279279279279278278279279279279277276276276276276277279280281282282282281281280278277277277278278278278278278278278278278277277277277277278278277279278277276276276275274274273273273272272272271271271271271272272274274275275276275276277277277276276275277279280281280280280280279279279279278279278278278279279280280280280280280280280281281282282282283283283284284284286285284285285285286285284284282282282282283284285284284283283282282283283282282282283283283282281281282283283282283283283284284285285284285284288290290289288289290288288287287287287286286286285284285284284285285286286285286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271269268999266263264264263264265267267268270271271273274274275275274274273272271271272271272272272272273273275276276276276277277278278278278278279278277278279280281281282283283282283283283283283284284284285285285284284284285284285284284284284284283285285284284284284284285284285285286287286288289289290289289288290291291291291291291290290291290289290289288290290291290290287289288286288289287290289290291290291292290289289288290288287289288288289289289288289289290288288290289291291291291288290288288292292289288285285287285287284283284285283283283283283283283282283283285286280283285281281282281281282282282281280280279282280281279279279278278279278276276275281277279282280279281280279281281282281284281282283283282284283283285286284282283285285284284284285284285285285284284285287284288285287286287283284286287283284286286286286286287285286286286286286286286283287284284284282284284285284285285284284283283283283285284282284285282283282282282279279282282282278279282282282281281277276279279279279279278278278279280279279279278279279278277279279280279279279280280281281281281280279279280280280279279280279276278279279280279279280279279280279279279279279279279279278278277277278279281282283283283283283283282281281279277277277277278277278278278277277277277277277277277278277278279279278277276276275275275274274273273272272272272271271272272273273274275275276275276276276275275275276278280281280281281280280280279279279278279279279279280280281281281281280281282281282282282284283284282283284285285285285285285286286286286285284283282282282284284285285285285284283283283283283282283284284284284282282283283283284284284284284285285285285285287288290290289290290289288288287287288288288287285285285284284284285285286286286286285285285286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268267263264265264263264266266268269270272273274275275276276275275275273272272273272272272272272274275276276277277277277277278278278278279278278278278279280281282282283283283282283283283284284284284284284284283284284284284284284284284283284283283283284284284284284285285284286287288288289290289290289290290291291290291290291291289289291290290290289287290289291291289286289289290290290290288290291290290290290289290289290291288287288287288288288289289290289289290289290289289288288291287288289288291289286286286289287287286286286284285284286286285284284282281280282282281281281281282282282282280282282282281280280281282283279278279280278276278280278277280281280278282279278281280281281280282282282284283284283283284283282284285285284283283287285283283285285285286287289286288286285287284286286285284284286286284286287287287286288289286285285285285285285286286283284286285285285287287287286286287286287288287288288286285284286284284282282282282282282282282281281281282281281281280279279278279278279279278278279279279279278279279280280279280280281280279279280281281281281280280279280280280280279279280279280281281281280280279280280280280280280280279279279280280280280280281282282283283284284284284284283283283282281279278277277277277277278278277277276276277277277277277278278278279279278277277276275275275274274273273273272273272272272272273273274274275276276275276276275275275276279281281281281280280281281280279279279279279279279280281281282281282282282282283283283284283284283284283284285285285285285285286286286286285284283283283283284285286285285285285284283283284283284284285284285284283283283283284284285284284284285285285285286288290291290290290290288288289289289289287288287286286285284284284284285285285285284285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270270269265264265265264264264265267266270272273274275276276276276276276276275274273273272272273273274275276276276277277277277278278278278279278278278278279280281282282282282282283283283284283285285284284284284284284284284285284284285284287284283284283284284285283284284284285285286287288289289290290290291291291292291291290290290290289290290289290290289290290290291291291290289289291291291290291291290290291290291290289291291289288289288289290289289290292290292290289289289290291288289288287291291290286286287287287289287287286288287289288287286287286285283285286284287284284284283280282282282282281282281281280282278282284282279277278279279277281280276279280280277278279279278280280281281282282282282283283283282285284284283283284284284283282282283283285283284283284283284286285282283282284285286285281281283284284286286286286286286286286285284284284285285286286283284285283283283283283285285284284285285284285283284284281282281283283282282281280280279279279279281280281281281280277276279280280279279278278278279279279279280280280280280280280280280280279279281281282282281281280280280280280281279279279280281281280279280280280281280280280280281281281279280280281282282282282283283283283283284284284284284284283283283282280278277277277277277277277276276276276276277277277277278279279279279278277277277275275275274274273273272273273272272273273273274274275275276275275275275275276278280281281281281281281281281280280280279279280280280281281282282283283283284284284284284283284284284284284284285285285285285286286286286286286284284284283284284285285285285285285284284284284284284285285285285284283283284284284284285285285285285286286286288290291291290291290290289289289288288288287286287287285285284284284284284285285285284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274272270266266266265265265265266267268267271273274274275276276277276276276276276276274274274274274274275276276277277277277277277277278278278278279278278278279280281282282283283282282283284284284284285284284284284283284285285284286285285284287285284284285284285285285285285285284286287288289289290290289291291291293292290290292291291291293288290286289290289290290289288290291290290290291290290291291290291291291290291290291291291291290289290291290291287288293293292289289289288288288288292289288288288288287288288288288287286287285283286286285284286286285284282283280286281282282280281282283282282282283281281282280281281280281278279280279279280278281277277279277280276278278277279281282282282281282282282282282282281281282282282281282283282284281283285285283283283283283285284285285282284284286285285285282283283284284286286287285285285285286285284284284285286286286284284284282283284284284285284285285286285286285283283283283282281285281283283281280279281281281281280281281281280278278278280280280280280279277280280280279281280280281280281281281281281281281281281282282281281281280280280280281281280281281281280281280279279278280280280280280280281281281282282282282283283283283283283283284284284284284284284284284283283282281280279279278278277277277277276276276276277277277278279279280280280279278278277276276276275275275274274274275273273273273273274274275275276275275277277277279280282282282282282282282281281281280280280280281281281281282283283284284284284285284285284283284283283283284284285285285285286285286286286286286284284283283284284285285285285284284284284284284284284285285285285285284283284284285285285285286286285286286288289290291290290291291290289290289289288287286286287287286285285285285284285285285285284284284284285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273999999272268267267266266265265266267267270273275274275275277277277277276276277276276276276275275275276276277277277276277277277277278278278278278278278278279280280281282283283283282282282283283284285285284284284285285284285285285285285286285285283284284285284285285285285285286286284285287290290291290291291290291292291292291291290292292292290289291291290291290290290289292291291289290291290291291290290291291290290291291291291291291289289289291289293288292287289287289289290288287289288288289289289288289290290289286286286287284286284285284283284285285285282284283283283283283281282285283285281282283282285283282283281281281281279278278280276277277276278281278280277276278277278280282282282283282283283283282282282281281282281281282282282282282281283284283283283283284285285285285281282285284284285284286285286286285285285286286286286285285284284284284285285286285284284284283283282283285283284284285286286286285285284284284283283283284282281282282281280285283280280281281280281281282280280281280281281281281279281281281281282281281281281281281281281281281282282282282282282280280280280281282282281280279279280280280280281280280280280280280281281281282282282282283283283283283283283283284284284284284285284284284284284283282282281280279279278278277277277276276277277278278278279280281281281280280279279278278276277276276275274275274275273274274274274274274276276276278277279279280281282282282283283282282282281282281281281280280281281281282283283284284284284285285284284283284284283282284284285285285286286286286286286286286285284284283283283284285285285285285284284284284284284284285285285285284283283284285284285285286286286287286288290290291291290290289290289289289289289287287287286286287287286285285285285285285284285285284284285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273999999999269272270270268266266266266266267269273275276276276276277277277277277277277277277277277277277277277277277277277277277277277278278279278278277278278279280280280281282283283282282282283284284285285284284284284284285284285285285285285286286285284285285285285285285285285286286287287288288290290291291291291290289291292293293292290291290292290290290291291291291291291292292291291290290291291291291290289290290290290290291290291291291290290290292289291290288290287287289288289293289290290291289289288288289288289289285286287285288286287287287284284286286282284285283282283284283285285286285283284285281284281282283282280281280279279278277277276277277277281282281280277277276281279281282282282283282283283283282282281281282282282282281282281281281281281282283284284284284285285285284284285284284285285286286286286286287286285286286285286285286284284285285285285286285286284285285285286286284284286287287287287287287288285286286285285283283284283283283283282282283283282281280280280282282280280282282281281282282282282282282282281282282282282282282282282283283283283282281282281280280281280281282282281280279279280280280281281281279279281280280281281281282283283284284284283283283284284284284284285285285285285285285284284284282282282281280279279279278278278278277277278278278279280281281282282281281280281280279278277276278277276275274275274274274275275275275276277278279279280281282281282282282283283283283282282282281281281281281281281282283284284284285285285285285284284285284284282283284285286285285285286286286286286287286285284283283283283284284285285285285285285284284284284285286286285285285284284285285286286286287287288288289290290289290291290289290291290290288289289288288287287286286286286285285285285285285285285285284285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276273270268267266266266266267269270274276274274275276277277277277277277277277277278278278278277278277278278278278278278278278278279277278278278279280280280281282282283283283283283284284284284283283284284284284284284285284284285286285285285286285286285286286286286285286286288289289290290290291290290290292293292291291292291291291289292291291290291290290291292292292292292292290290292291291290290291291290291291291291290291291291291292290290290293289288287288288289290291293292290289289288288287288288288289290287287287287285287286285284284285287287283283286283282283283285285284284284285283284280283281281281281281282280278279279279278277277277280277276275277275276276281279280281281281282282282282282282281281281281281281280280281281282280280282282283283284284284284284282283284285284284284285286286286284286285285285285286283285285285285285285285285285285286285285284280283284284283284287285287285286285285285285284284284284284283282282282282283283283282281280282280282280280281281281282283281282283283282283282283282282283283283282283284283283283283282283283283282281280281280280281282280279280279280281281281281281281281280280280280281281282281283283284284283284283284284284284285285285285285285285284284284284284283282282282281280280279279278278277277278278279279280282282283282283282281281281280280279278277277277275275275275275275275275276277277278280281282282282281282282282283283283283283283282281282281281281281281280281282284284284284284284285285284284284284284284283283284285286285285286286287287287287286286285284283283283284285285285286285286286285285285285285286286286287286286285285286286285287287287288287288290291291291292292291290291291290290290290289288288288288287287286286286286286286285285285285285284284284285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273999999999272269268267266267266267271270272274275274274276277277277277277277277277278278278278278278278278278278278278278278278279279279279279279279279280280280280281282282284284283283284284284285284284283285285284284283283284283284285285285285285285285285285285286286286287288288289290290290290290290290289287291290291289291291292291292291291290290290290290291291292292291292292290290290291291291290290291291290291290292291290291291290292289290290290290290288290290289289291291290289288288288287289288288288288288289287287287286286290286284285283287284282283286286283285284284283283283284285283282284282281281282282281280280279279279279279278277277277277276275277275276275279278278279280280280281282282282282282281279281282280281280281281280281281280281282283283283283283283283283285282283284284284287286286285284286285285286286285284285285285285284285285285285286286284285284283284286285285286286287287285286286286285285285285284284284283283283283284283283283283282281281282282282280282282281283283283283284284283283282283283283284283283283284284283283284282283282283283283282281279281283284281283282280282283281281280281281280280280280280280281281281282283283283284284283283283284284284285285285284284285285284284284284283283282282281281281280279279279279278278278279280280281283283283283283282282281281281281279280277277277276275275275276276276276277278279280281282282282282282283283283283283283283282283282282282281281281280281281282283284284284285284284284285285284284284284284284284285286287286287287288287288288287287286285284283284284284285285285285286286285285285285285286286287287287287286285285286286286288288287287287289290290291292292292290291290291290290289289289288288288288288288286286286286285286285285285285285285285284284285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269278276271999271269267266266266267270272273274275275275277277275277275277276277277278278278279278278277277278278278278278278278278280280279279279279279280280280280281281282283283283283284284284284284284284284283283284284284283283283284284285284285285284285284285284286286287288289289289289288290290289289289290291289290291290289290290291291292290290290291291291291292291292290292290289288289291291291291291291291289292291292291290290291291291290290290291291291292291290290289289289289288289289288288289289289291289288288289286285290290290286284285283282283282285285285284282283283283283282286284286284283283281284282281280280279279280279280279278277279279276275278275275274273276276278278279280279280281281281281281281280280281280280279280282281281280280283282282282283282283283283283283283283285284286287287287284285286284285285286285285285285285285284285285285285283284285285284284285286285285285285285287286286286286286286286285285284284284285285285284284284284283281285284283283282283282282283284284285285285284285284284282282283283284283283284284283283283283283283283282281283283283281282282281281282283281284281280281280279280280280280279281280280282282282283283284284284284284285284284286285284284284284284284284284283283283283281281281281281280280280279279279279279281282282283283283283283283282281282282281280279278277277276276275276276277276278279280281281282283282283283283283282282283283283283283283283282282281282281281282282283284284284284285285284284285284284284284284283284284285286287287287288288288288288288287286285284284284284284285285285285286286285285285285286286286287287287287286285285286287287287287287287288289290291291291292291291290290291290290291289288288289288288288287287287286287286286286285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276273271269267266266266267271273273274275276277276276277276276277277277278278278277279278278278278278278279279278278278279280279280279280279280280280281281281281282282283283283285284284285284285284283284282282283284283283284284284285285285285285286285286286286288287289289289288289289289289289290291289290290290291291291291291291290291291291291291291291291292291291291291290289289290291291291291292291291289291290290291291290290289291291290290291291293290291291288288289288289288289291288289289288289290290290290289289288290290290286285285283284282282281283285285284284284283283285285286285285283284283285281282281279278279279279278278277276277278276275275275276275276277276277278279279280281281281281281281281280281281281280281282283280281281280281281282281282282282282283283283283283284285284284285286285285284285285285285285285285284284284285285285285286285285285286285285285285285285285285286286286286286287287287286286286285285285285285285285285285283283283282285283283283285285284284285285285285286285285284284282282282282283284283284283283283283283282283282282281280281281283284282284281284282283282280281280280280280280280280279281282281281282282282283283283283283283284284284285285285284284284284283283283283283283283282281281281281281281280280280280280281282282283283283283283284283282282282282281281280278278278277277277278278279279279281281283283283283284283283283283283283284283283283283283283282282282282282281282283283284285284284285284285284284284284284285285285284285286286287287288288288288288288287286286285285285284284285285285285285285285285285286285286286286287287287287286285286286286286287287287288290290291291291291291291291291290291291291291290289289289289288288288287288288287286286286285285285285285285285286285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278276273271268267267267268270272274275275278277277278277277277276276277277277278278279278278278278278279278279279278278278278280279280280280280280279280280281281281282283283283284285284284285285285283283282281282282282283284283284284285285284284284285286286286288289289289288289290289289289289289290290290290291291292292290290289290289290291290291292291291291291291291291290289290289291291291292292290290291291289289290290289289290290291290290290290291289287290290288292289288288289288288291288289288289291291289289288288290289289288284283282281281284282282283283284284283283282281283282283281281282282279281282278278278278278278278279278276277276276275276278275276276277277277276278278278278279280281280281282282280280280280280280281281281281280280280281281280281281282282282282283283283284284284284284286285284285285285285285286285284284284285286285285284285286286285285285285285285285286286286286286287287287287287287287287286285286286286285285287284285283283282285285285284286287286286285285286285285285285285284284283283283282282283282284284282283283282282282282282280280281284282285282282284284284282281282281280280280280280280279281280282282282282282282283283283283283283283284284285285284284284284284283284284284283283283283283283282282282281281281281282281282282283284284284284284283283284283282282282281280280279278279278278279279280280280281282283283283284284283283284284284284284284283283283283283284284283283282283283283283284284284284284284284284284284284285284284284285286287287287288288288288287287287287286287285285285285285285285285285285285285285285286286286286287286287287287286286286286286287287287288289290290291290290291291292291291291291290291290290290289288289288289288287288287287287287286286286286285285285285285286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279276273270268267268269270272274275275277278278278278278278278277277277277277278279278278277279279278279278279278279278278279279280280280280280280280280280280281282283283284284284284285285283285284284282281281282282282282284283284284284284284284285286286287287289289289289288287289289288288289288289290290291291290291291291291290290290290290291291290291291291291291291291291292291291291292291291292291290289289289289290289289288289290289291289290288288287289287288288287290288285291291291291288288289290289290290288287290289288288287284285282282282281281281282283283283283283283282282282282283281281281281281281281279279279279278278278279278278276276276275274277276277277278277277278278278278279280280280282281282280280280280282279282282280280280280280281280281281280281281282282283283282282283283283283286285285285285285285285285285284284285285286285286286286286286286285285285286286285286286286286286287287287287287287287287286286286285285284284287284284284283283286286286286287286286286285285285285285286285286285283284283283282283283284284283283283283282282282284281281281284284281282281281283285283283283282281280282281280281281281281282282282282282282283283283283283284283284284285285285285285284284284284284283284284283284284284284283283283283282283282282283283283284285284285284284284283283283284283283282281280279279280279279280280280281281281283283284284284284284283284284284284284283284284284283283284283283283283283283283283284284284284283284284284284284284284285285285286287287288287288288288288287287288287287287286285286285286286286286286286286286286286286286286286287287287287287286286286286286287287287288289289290291291290291292291291291291290289290289290289289289289289289289288288288288288286287286286286286286286285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279276273270268268268269270274276278276278279279279279279278278278278278278278278278278278278278279279279279278278279280279279279281280280280279279280280280281282283283284284284285285285285284283283283283282281282282282282283283284285284285284286286285287288287289289289289289289287287288288287289290290291290290290291289291291291292290288290291290291291290291291292291292291292292292291291291291291291290290287289290289290288289290290288289288288289288287288288286287287287286289287286285288288288290288290289290287289288288287286286284285284280281282283282282283282282282281281281282286286283282283283281281280281280281279278278278278278277280278276275275277277276277276278278276278278278279279279280281281281280281281281281281281281280279280279281279281280280280280280281281282282282282282283283284283285284285285285285285285285284284284285285284285285285286286286286285285285285285285285285286285286286287287287287287287287287286286285285287287286289286287286288287287287286286286286286286286285284286287286286285285285284284283282282284284284283283283284283283284283282283282282282281282281282283283283284283283282283282282283283283283283282282282282283283283283283283284284285285285285285285285285284284284284284284284284284284284284284284284284283283284283283284284285285285285284283283284285285284284284283281281280279280280280281281281281282283284284284285284284283283284284284284284284284284284284284284284284284283283284284284284284284284283283283283284283284285284285286286287287288288288288288288287287288287287287286285286286285287286287287287287287286287287286286286286287287287286286286286286286287287288288289289290290291291292291292292291291291290290289290288289289290289289289289288288288287288287287287287287286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281280278275273270268269269270273275276276277278278278277278279279279278279278278279278278278278279279279279279279278279279279280279280280280280280280280280281282283283285285285285285286285285284283284284283282281282282282282283283284281283285284286286285287288288289289289289289288288287289287289289290290292291290289291290289290291291291289292289290291291291291291292292292291292292291291291292292291289290291289289289289288289289290289289289289288288286286287288286287286287287287287286286286287288286285285286290289286288287286284283286284282281281281281281282282282282281281281282281280283285283282280279280281281280280279278277278278277277278279274277276274278274276277278276277277278279278276278278280279278278280280281280280279279280280281280281278280278280280280280280281281282282281281282283283284284284284285285285285285285284285284284285285285286286286286286286286286286285285286285285286286285286287288287288287288286286286286286286284284285288290287287289289286286288288287287287285286285287285286288287286286286285284284284284284283283284284284283284284282283284282284284282282283283283284282282283283284283283285283284285283284285283283283283283284283283284284284284285285286285285285284284285284284284284284284283284284284284284284284284284285284284284284284284285285285285284284284284285286284285284283281281281280280281281281282282282283283284284284284284284284284284284284284285283285285285285285284284284284284284284284284284284284284284283284284284284284284284285287287288287288288288288288287287287288287287287286286285286286287288287288288288287287288288287287287287287287287287287287286286287287288288288289290290291291292291292292292291292291290290290289289289290289290289289289288289288288288288288287287288287287287286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280276273271270269270271273276277277277278279280280279280278280279280280279279279278278278279280280280279279279279279279279280280281280280280279279280282282283284284285285285285284285285285283284285284283281280281281282282282281282281283281281285286287287288287289289289289287288288284287289290286290290290290289289290291291291291290292291290290290290292291292291292292292292292292292291291291291290291291290291290289289289290290289289289289289288289287287287288287287286287287287287287286286287287286285287286288288288285286283282282282285283282282282282282281280280280281281282283282282282282282282281281280281280281279279278278278277277277277276276275275276277275277277277277277277278276278277278279276278279279281280281279279279279280281281279279279278278278279280279280282280281282282283282283283283284284284285285285285285284285285285285285285285286286286286286286286286285285285286286286286286286286287287288288288288288287286286288285288288288288290287287287289287288288287288288287286285285286286286287285285285286284285284284284283283285284284283283284284284284283284284284283283283284284285285284283283285285285285282285284284284283284283284284284285285285284284284285284285285285285285285285285284284284284283283283283283284284284284284284285285285285285285285285286286286286285285285285286286285285284283282281281280281281282282282283284283283284284284284285284284283284284285285285285285285285285285285285284285284284285284285284284284284284284284284284284284284284286287288288288289288288288288288287287287287287287287286285286287287287288288288289288289288289289288288288288288288288288288288287288288288289289290290291290291291292291291291291291290291290290289289289289289289289289289289289289289288288288288288287287287287287287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279275272269269270272274276276276276280280278278279280280280280280280279279279278279279280280281281281281280280280280280280280281280280280280280281282282283283284285285284285284284284284283283284284284283281280281281282282281280280281281280285282285286286287288289289288288288288288287287288287287290290290290290290290291291291291291291291290290291291291292292292292292293292292292292291291291291291291291291290290290290291291289290289289288288289286288287287287286287288287286287287288287287287286285288286288288288283283284283285283282283283282282283282282281281282281283283283282282282282281281282282281281281281280280279278277276277276276275274275275275275276275276277278277277278277277278278278278277278279279280280280280278278280280281280280280280279279279279280280279281280281282282283283283284283283283284284285285285284284284285285284285284285286285285286285285285285286285286286286286286287286287287287288288287288286286286289289288289289288288288288289288288287288288288288288287287286284286286286287287286284284285285285285284283283284285285284284284283284285286286284284283283283284285285286286284285284285285286285285283286286284285285285285285285286285285285285285285285285285286285285285285284284284284284283283283283283283284284284284285284285285285285285286286286286287286286285285286285285285285284283282281282282283282283283284284284283284284284284285284284284284284285285285285285286286286286286286285285284284285285285285284284284284284284284284284285285285287288288287288289289289288288288288287288287287287287286286286287287288289289289289290290290290290289289289289289288288288288288288288289289290290290290290290291291291291291292291290290290289290289290289290289289290289290289289288288288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275272270270272274276276276275277277277277278279279281281281281281280280279279280280280281281281281280281281280280280280281281280280280281281282282283283283284284285284284284283284284283283284283283283282281282282283282281281280279999999283284286286286287288289289288289289289288288289289289287288289288289289291291291291291290291290290290291291291291292292292293293292292292292292291291291290290290291291290290290292290289290290289289290289287287288287287286286287287287287287287287289287286287286288287287288287283284285286285285285284283283284284284285284284284285284284283283283284284284283283283283281281280280280279278277277277277276276275274275274275276276277277278278278279279278278279279279277278278279279279279279280279280280280280280280281279279278278279280280280281281282283283284283283284283284284284284284284284284284285285284283285285286286286285284284285286285286286286286286286286286286287287288288288289286288288289289289289289288288289287289288288287286288287288288288288286286288286286286286285286284284284285286283284284284284286286284285283284284285285284285283283282284285285286286286284285285286285284284287284287286286286286286286286285285285285285285286286285285285285285285285284284284284284284284283283284284284283284284285285285285285285286286286286286286287286285285285285285285285284283282282282282282283283283283284284284284284284284284284283284284284284284285285286286286286286286286285285285285285285284285285285284284284284284284285285285286288288288288289289289289288288288288287288288288287287286286286286287289289289289289290290290290289289289289289289289288288289288288288289289290290290290290290290290291291291291290290291290290289290290290290290290291290290289289289289289288288288287287287287287288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279999999278278276275272271271275276276277278277278278279280281282282282282282282281280280280280280281280281281280280281282281281281281281281280281281281282282283284284284284285285284284284284284284283283283284283283283283282282282281283282279283999284283285287287288288287288289289289289289290289289287290288288288289288289290290291290291291291291291290290291290290292292292292292292292291291292293292291291291290293293289289288289290290289288288288288287288288286288287286288286287287287287288288287287287289288286285285285284285286284288287286285285285284284284284284285285282284285284283283285285284284285285284283283282282281280280279278278277278277276274274273275274274275275276278277278278279279279279279279277278277276278278278278278277278280280280280280279279278278278279279280279280281281282283283283283283283283284283284284284284284285284284285285284285285286286286285285285285285286285285286286287287286287286287287288288288287288288289290289290289288289288288289288288289288288288288288288288287288286287286286286286286286286285285285285284285284284284286287285284285284285285285286285283283283283285285286285286286286286284286285284284286286286287287286286286286285285285286286285285285285285285285285285285284284284284284284284284284284284284284284285285285285285285286286286286286286285286286285285286286286286285285284282283283283283283283282283284283284284285285285284284283284284284285285285285286286286286286286286286286285285285285285285285285284284285285284285285286286287288289288289289289289288288288287288287288289288287287286286287287288288289289289289289290289289289289289289289288289289289289289289289290290290290290290290290291290290291290291291291290290290289289289289290290290291291290290289289289288288288288287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277999283279277276273271270273275276277277278278279279281281281282282283283283282282281281281280281280281281280280281281282281282282282282281281281281282282283283284284284285285284284284284284284284283282283283282282283283283283282281282283280284285286286288288288288288288288288289289290289290289289289289289287289289289289290290291290291291290290290290290292292291291291292292292292292292292292291291291292291293291290290289290288289287287287287287286289287286286290287285288288288287288288285287289289286288287289283287284288283284287285286282282282283285284282281282285283283287287283284285285285284285284284286285282281281281280279279278278277277277275275273272273273274275276277277277278279279279279279276277277277277277279279279279278277278280281281279279279279279278279279279279280281281282282283283283283283283283284284284284284284284283285284285284285284285286285286286286286285286286285286286286286287287287287287286288288288290290285289288290290289288288288287288289289289289289288288288288288287287286287286286286286286287285284285285285285285285285285287286286283286286285285285285284284284283284285285285285287285285284286285285285286286285286287288286286286286285285286286285286286285285285284284284284284284284284284284284284284284284285284284285285285285285285285286286286286286286286286286286286286286286286285285284283283283283283284283282284284284284284285284285284284283283284284285285285285285285286286286286286286286285285285285284284285285285285284285286286286287288288289289288289289289289289288288288288288288289288287287287287287288288288288289289289289290290289289289289289289289289289290290290290290290290290290290290290291290290290290291291291291291290290290289289290290290290290290290289289289289288288289288288287287287288288287288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282280279277275274272270272275276277277277278280280280282283283283282283283283282281281281282281281281280280280280281281281281282282283283282282282281282282282284284284285285285284284284283284283282284283283282282282282282282281281280282284282285286286286287288288289289289288289289289289288288289289289289289289289288289290290290290290291291290290290290291291291290291291291292291292293294292292292293293291292293290289288288290289290289286288288287287289287287289289286286287288288287288288288289289290285288288285285284286286288287282283283280282281283284282282283284284284286286287286286282283282284283283283284285282281282282281280279279276278277276275274273274272273275276278276277278279279279279279279278277277277277276278276277278279279280280280279278279279278278278279279279280281281281282282283283283283283284284283284284284284284284285284284284284285285285285285285285285286286286286285286287287287287288287287287288287287288289289289289290290290289289288288287287287289289289288288289288288287285286286287288286286285286286285285285286285285285285285286285285285285287285286286285284285285285285285285286286286286285285286286285285284285286286287287288287286286286285285285286286286286285285284284285284284284285285284284284284284284284285285285285285285285286286286286286286286286286286286286286286286285286286285285284284284283283283283283284284284284283284284284284284284283283283284284285285285285285285286286286286286286286285285285285285285285285285286286286287287288288288289289289289289289289289289288289289288287288288288288287287287287288288288289288288288289290290289289289289289289290290290290290290290290290290290290291291290290291291291291291291291291290290290289289289289290290291290290290290289289289288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281282281281278276274272271271274276277277278279279280280280281282282282282282283282281282282281282282281281281280280281281282282282282283283283283283283282283283283284284284285285284284284283283285283283283284283282282282282282282282283282281285287287287287287289289288289289289289289289290289290289289289289288289289290289290290290291291290291290290290290291291291291290291291291292292293294293293293294291291292292293288287288289291288288288287287287288289289289290290292289288288288288288288286287290292290289289289288287284288288286285287284284284282283285285285285283284285285285286284285285283284283283284284284284283283282282282282282282280279278278277275274275278275275274279276275277279279279279279279278279279277277277275277276276276278279279278280279277278278278278278277279280280280281282282283283284283284284284284283284284284286284284284284284284285284285285285286286285286286287286285285286287286286287288288288287288288288288288286286289289289289290287286287285285288289288287283288288288288288288286287286286287286286286285285285285285285285285285285284287286285286286286286286286287284285286286285284285285286287286285286286285285284285284287287287288287286286286286286286286286286285285285285284284285285285285285285284284284284284284285285285284285285285285286286286286286286286286286286286286286286285286285284283283284283283284283284284284284284284283284284284284283284283283283284284285285285286286285285285285285286286285286285285285285285286286287287288288288289289289289289289289289290289289289289289288288288288288288288288287287288288288289288289289288288289290290289289289289289289289290290290290290291290290290290290291291291290290290290291291291291290290290289289289289289290290290290290290290290289289289289288288287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282281280280277275273271272274277278279278279280280281282281282282282282282283282282282282282282282282281281281281281281281282283283283283283283283283282281283284284284285285285284283283284283283284283284284284283283283284282282282283284282999285287287287287288288288289289290290290290290290290290289290289288289289290289289289289289289290289290289288290289291292291290289290290291291292293293292294294292293291293289290291291291290290291290287288288291288286286289290291289291290289289289293293291292287291288287287285285287286285287286284284281285285284284284284284284284285285284284284286283284283284283284284284283283282281281282281281282282281280278278278278276276275275276275276276277279279279279279279278276277279277277277277278277277276278279277278278278279279279278277278279279280280281281282283283283284284284284284283283283284285286284284284284283285284284284285286286286285286286286286286286287286286286286287287287287288288287288287287288288289289289291288288288288288288287287285287287289288289288288287287288288287286286287286284284285285285286286286285286285286286286285285287286287285284286287286286286285287287287287287287287286286286285285286287287287287287286286286286285286286285285286285285284284285284285285285285284283284284284284285285285284285285285286286286287287286286286286287286286286285285285285284283283283283284284284284284284284284283284283284283283283283283283283284284284285285285285285285285285286286286286285286286285286286287287288288288288288289289289289289289289289289289289289289289289288288288289288287288288288288288288288288288290289289289290290289289289289289289290290290290290290291290291291291290290291290291290290290290290290290290290290289289289289289289289290290291290290290290290289289289288288288287287287288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283281279278277275273272272274277278279279279279280281281281282282282282282281282282281281281281281282282281281281282282282283283284283283283282282281282282283284283284284284285284283282283283283285284284284284283283284284285284283283284285285999999288288288288288288289290290290289290290290290289289290290289288289289289290289289289289290290289290289290290289290291290290289291291292292292293293293293292294291293292290291291291290291290291290289288289292288287288289289290291290290289292290288290290291286287288285288289286287286284288287286283286284284284285285285286284282281282283283284284283284283285283284284284284283282282281280278279279279280279277276278277277277276275276278279278279279279279278278278278277280278278278277278278278277277277277277279277279280278278279279278279280280280281281282283283283284284284284284283284284284287286284284284284284284284284285285286286285286286286286286286285286286285285286286287287287287288287288288288288288289286288288289289289289288289289288288287287288289286286287287287287288287286285288286285285285285286287285285285285286286286287286287286287287288287286285286287287287287287287287288286288288287285288287287288288288287287287286286286285286286285286286285285285285285285285285285285284284284284284284285285285285285285285286286287287287287287287286286286286286285285285285284284284284283283283283283285284284283283284284284283283283283284284284284284284285285285285285285286285286286286286286286286287287288288288288288288289289289289289289290290290289289289290290290290289289288289288288287288288288288288288288289289289289289289290290290290290290290290290291290290291290290291291291291291291291290290290290290290290290290290290290289289289289289289289290290290290290290290289289290289290288288288288287288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283281280278277276274272273275277278279279280280280281280281281281281283283281282282282281281280280280281281281282282282282283282282283283282281280280281283284284284284285285285284284283282284282284284284285284284283283284283284283284284284284286285288288288288288288289289290290290289290290290290289289290290289289290289289290289290289289289290289290290290290291291291290290290290291292293293293293293293293292292291291294291291291290290291291290292292292292288289290289290291291288288290293290290291292291291290288289289288289286287288286285288288287286285283285286286286285284284284285285285284285285284284285284283285285284284283282282278273274276277277277277278279277276276275274278279278279280278278278278278278277279278278278279280279279279278278278277278277278278279279279279278279280280280281281282283284284284285284284284284285287284285285284284284284284285284285285285285285285285285285286285285285286285286286286286286286286286287287287288288288288288288288289289290289289289289290290288288289288288287287287287288287287286286285286286286286286286286287287286285284285286287287287287288288288287287286287287287287287287287287285288288288288288287288287287288289288288288287286287286287287287286286286285285285285285285285285285285284284284284285285285285285285285286285285286287287287287287287287287286286285285285284284284284283284283283283284283283283283283283284284284284283283283283284284284284284284285285285284286286286286286286286287287287288288288288288289289289290290290290290289290290290290289290290290290290289289289289289290289289289289289289289289289289289289290289290290290290290290291291291291291291291291290291291291291291291291290290290291290290290290290290290290289290289289289290290290290290290289290289289290290290289289289287288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284281279277277275274274275277279279279279279280281280281281281281281282282281282281282281281281281280280281282282282282282282283283282282281280281282283284284285285285285284285284284284283283283284284284286285284284284284285283283285285286286287288289289288289289289290290290290290290290291290289289290290289288290289289289290289289289289289290290290290290290290290289289288291291292292292291291293292292291292292289291291291291293291291291291293292292290288288288289288291290290289288291293293292290291292291289291289287288290286286286286285282288285287283283284286284285281284283284285284284285282284284284285285285285285284283281279279280276274275276277278278278278276275275275275278277277279279276278277278277278278278278279280281280279279279278278278278278278278278278279279278279280280281280280281282282284284284285284284284284285284286284284286283283285284285284284284285285285287285284285285285284285286286285286286285287286287287287287287286288288288287287288289289289289288288288289289288289289288288287287287286287286286286285286285286286285286286286286289287289289286287287288288287288288288287288288287287288285284286287287288289288288289288287287288288289289288289289288287287287286287287286286285285285285285285285285285285285285284285285285285285285285285285285285286285286286287287288286286286286286285285284284285284284283283283283283284283283283283283283284284284284284283284285284284284284284285285285285285286286286287287287287288289288288288288289289289289290290290291290290290289290290289289290290290290290290290290290290290290290290290289290289290290291290290290291291291291291291290291291291291291291291291291291291291291291291291291291291290291291290291290290290290290290290290290290290291291289290289289290290290290289289289289288288288288288288287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283279277276276274274275277278279279279279279281281281281281282282282283282283281282282282281281281280281281282282282282282283282280280280280281282283284284284284285285284284284283284283283283283285285285285285285284284285285283282283286287288288289289289289289289290290290290291290291290290290289290290290289289290291289289289290288288289289290290290290290290290290289289289291291291292292290293292293293291290291291290290292290289290290290292291290290289287292289289289290290290290290290290291290292292292292292288288290289286286288289286283285288285284285285284287287286285286286285284284285285285283284284285284284285285285285284281278282280278279278279279278277277274280274274277280281278276277278277277277276279278281280280281280279280280279279279279278278278279280279279279279280280280280280281282282283284283284284285285284286285284284285284283283284284284283283284284284284284285287284285285285285286286286287287287287287287287287288287286287287288288288287287288288289287288288289289290289289288289288287286287287287287286285286285286285286286286287286287287287287287287288288288289289289289289288288288287287285286287288288287288288288289288288287287288288289288289288287287287288288288287287286286286285285285285285285285285285285285285285285285285286285285286286285286286286286286287286286287286286285285285284284284283284283283283283283283284283283282283283283284284284285284283283284284284285285284285284285285285286287287287287288288288288289288288288289289289289289290290291289290290290289290290290290290290290290290290290290290291290290290290290290290291291291291291291292292292291292291291291292291291291291291291291291291291291291291291291291290290291291291291291290290290290291291290290290290290290290289289289289289289290289289289289289288289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285281279278277276275275277278279279279280280280281281282282282282282282283283285281282282281282281281281281282282282282283282282281280279281281282281284284284286285285284284284284284283282282283283284285285285284285284285285285286286286287289288289289289289290289290290290290290291291290290290290290290290290287289291290289289289290289289289290289290290290289290290290289290292290290290291289292290288290291292293291290291291290291291292291291290290289289289289289290289289291291293291292289288293292292292293293292289287291289290289288286285286286286286285287287287287285287287286284284286284285285285284284284284284283284283283286284283283282281280278279279280279278277274280279277278281281277276279276280281280280278281281281280281281282281281280281280278279279279280280280280279279280280280280281281282282283284284285284284284284283285284284284284284284283283284284284285285286285285285285285285285285285285286286286287287287286287288288288287287287287287288287287287288287288289288289289288290289288286288288288287287287287287286286286286286287286286286287286287288288287287287288288288289289289289288288288288288287287286287287288288287287289289289289288288288288288287287288288287288288287287288286286286286285286286286285285285286286286286285286286286286286286286286285287285285285286286286286287286286286286285285285284284284283282283283282282283282282282283283283283284284285285284284284285285285283285284284285286286286286287287288288288288288288288288288288289289289290290291291290290289290290290290290290290291291291289290290291290290291290290290290291291291291291291291291291292292292292291292292291291291291291291291291291291291291291291291291291291291290291291291291291290290290290291291290290290290290290289289289289289289289289289289289289289289288289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283280278277277275276277279279279280280280280280281281282283283283283283283282281280281281283281280279281282282283283283283282281280279280280280282282283285285285285285284284284283283282282283284283285284285285285285284283284285286285287288288288289290288289289289289289289290290290290290290289290291291292291290290289290291290290289289288289290289289289289289291290290290292292291292292292288292289289289291294293290291290290290293293291291292292289289290290290290292289290289289290291292292293293291290293292291291291289288288289288288287286286285284286285286287286285283287287287287286285284285285284283284284285284285286285284285284286283283279277277279279278278277275276278278278278277279279278279280279281281281279279281281282281281281281280280281280280280280280280281280280279279280281280282282282283283284284284284284284285284283284283284285283284284283283284284284285286286286286286285285285285285285285286287286287287286288287288288287289289289287287287288287287287286288288288288289289289288289287288288288286288288288287286286286287287287287286286288289289289289288288288289289289289289289288287287288288290287287287287287287289288288287288289289288289288287288288289289289288288288288288288287287286286286286286285286286285286286286286286287287287286287287286286286285285285286286286286286286286286286286285285285284284284283282282282282282283282281281282282283283284284285285285285285285286285285285285285285285285286286287287288288288288288288288289288289289289290290290290290290290290291291291290291291291290291290291290290290291290291290290290290290291291291291292291291291291292292291291291291291291291291291291291291291291291291290291291291291291291291291291291291291290290290290290290290290290290290290290289289289289289289289289289289289289289289289289288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284281279278277276276277279279280280280281281281281281281282283283283283284283281280279281282282280278279280282283283283283282281280278278277281281282283283286286285285285284284284283283282282283284283283284284283285285285284284285285287287287289289289289288287289288291289289290290290290291290291291291291291291290290290292290290289289289290289289289289289289290289290290290290291291290292292290290290288288290290290291291293292292293292290290290289289290289289290290291288289290290290289293292291291291291291291291290290290289289288289287287286285285285284282287288286284284288284285287287287283285282285284285285282285284284282281285286284284283280273279280279279278277277277276277277277277278277278278276278278281278282283283282282279282283281279281281280280281281281281281280280280280280280280281282282282282283283283285285285283285282284282283284284284283284284284284285285285285286286285285285285285285285286286286287287287287288288288288287289288288288288287288287288287286287287288288289289289287290289289286288288288288288287287287287287289286288288287288288289288290288289289289289289289288287287287289288288287287287287287287288288288287287289290290290288288288288289288289289289289289289288289287287287286286286286286286286286286286287287287287287287287287287287286286286285286286286286286286286286286286286286285285285284284283282282282282282282282282282282283283283284284285286286286286286286285285285284285285285286286286287287288288288288287288288289288289289289289289289290290290290290290291291290291291290290291290290290290290290290290290290290290291291291291291292291292291291292291291291291291291291291291291292291291291291291291291291291291291291291291291291291291291291290290290289290290290290290290290290290289289289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285283280279277277277278279280280280280281281281281281281281282282283283284284283281280281281282280279278277280282282283283283282279276277277278281281283283285286287286285285284284284283282283283283283283283284284284286285284282283284286287287288289289290288288289288289289290289290291290289290291291291291291291291291291290290289289289289290290289289289289288289288289289291290290290288289290289290290288287287289289292293292293293290290289290290290289290290290290289289290290290290292290290291290291291289290291291290290290290288287290288288288287287285284285284287287285286285287285287286287287286283282286286285285284282284282285283286286285284282278278280280280279279277279279279276277276275278277277277281282279283283281280284284283282282283283280281280281281281282281281282281280280280280280280281281281281283283282283283284284284284284283284285283286284284283284284285285285285285285285284284285285286287286286286286287287288287288290287287288288289288288288287286287287287287289290289289289290288289289289288287288288288288288288288287288289289289288288289290290289290291290289289289288288288287286286287288288288288288288287287287289289288288288289289290290288288289288289288288289289289289289289288288288287287287287286286287287286286286286287287287287287287287287287287286286286286286287286286286286286286286286286286285285285285283282282282282282282282281282282283283284285284285286286286286286286286285285284285285286286286286286287287287287287287287288288288288288289289288289289290290290290290291291291291291290291291291290290291290290290290290290291291291291292292292292292292292292291292292291292292292292291291291292292291291291291291291291291291291291291291291291291291292291290290290290290290290290290290290290290289289289289289289289289288289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285284282280278278277278279280280280281280281281282281281281282282283283284284284282281281282282279279278277276278281281283282281279277277277277278280281283286287286286285285285284284284283281282283284283283283284283285283283282999284284286287288289290289290289288289290289289290290290290290291291291291291290290290290291290289289290291290290290290289289288289287289289288290291292291291288288288288289291287286288288289292292292293291290293290288290291290290290289289290290290292290290294294291291291291291291291291291290291289289287290289288287287287287287285286287287287287287287287287287287287287287286286285285285285285284284284285285286285285284282281281280281280280280280279280280279279277277279278279281282282282283283283284284284284284283284283282282282281281282282282282281281280280280280280280281282282282282283283284283284284284284284284283284286285284284284285285284285284284284284284284285285286286287286286286286287288288288288288288287288288288289289288288287287287287288288290290289289289288289289289288286287288290289289289288288290290291290290289289290290290290291290289288288288288288287287286287288288288288287287288287288289289289288289289289290290289288288288288288288288289289289289289289289288288287287287286286287287287287287287286287288287287287287287287286286286285286286286286286286286286286286286286286285284284284283283282282281281281283281281282283283284284285285286287287286286286286285285285285285285285286286286286286286287287287288288288288288288289290289289289290289290289290291291290291291290291291291291290291290290290290290290291291291292292292293292291292293292293292292292292292292292292292292292292291291292292292291291291291291291291291291291291291291291291290290290290290290290290290290290290289289289289289290290290289289289289289289290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287284283281279278278278280281281281281281280281282282282282282283282282283283283283280281282282281279279279279278278279280280280278277276276277277277278282284285286286286286285285283284283282281283283284284283283283283282283283283284284283999287288289290290290290290290290290290290290290290290291290290290291290289289289290291290290290290290289290289289288289289289291290290291292291292290290289288287288291290287287290291291291292290290291291289290290291291291291290291292292292292289291294291291290290291289291291291291290290289289288288288287288288287287287287286287287287288286286288286289288287287284285285285285286285285284283285285285286286284282281282282282281281281282282280281281281281280280278280280279279281283283284282282282282282283281280281284282282282282282282282282281281280282280280280280280281281281281283284283284283284284283283284284283283284284284284284284284283283283283283284285286286286286287286286287287287288287288288288288289289289288289289289288288288288288288289289289288290289288289288288290287289290290289290290289290289290291291290290290290290290290290288288288288288288288288290288289288288288287287289287287288288289289288289290290290290289288288288288288288288288289289289289289289288288288288287287287287287287287287287287287287287287287287287287287287287285286286286286286286286286286287286286286284285284283282282282282282282281281281282283283284284285285286287287287287287286286286286285285286286285286286286286286286286287287288288288288289289290290289289289289290290290290291291291291291291291291291290291291291290291291290290291291292292293293293293292292293293293293293292292292292292292292292292292292292292292291292291291291291291291291291291291291291291291290290290290290290290290290290290290289289289289289290290290289289289289289289290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283999287999286284282281279278278278280282282282282281281280282282281281282282283283283282282283283282281282282283282282280279279278278278277277275275275277277277277279283285287286286286286285285284284283282281283283284284283284284283284283282282283282999999287289289288290290290290289290288290291289289290290290290290290290291290290290291290290290290289289289289289288288290290290292292292291292289289290290289288290290290288289288290287291291292290290290289290290290291290291293292291294292290288291290291291293290292292290290291292288292294288285286288287287288288289288289288288290286288286289289290288287287287287286285285285285285284284284284284284286287286284282281280281282282282282281282283283283282282281281281280282282280281282282283280283283283283284284283283282283283283282282282282282282281280282280280279279280281283282282282283283283283284284284283283284284283283284284283283283283282283282283284284285287287287286287286287287287287288288288288289288288289289289289289289288289289289289289289290289289290290289289290289290291289290291290290290290290290290291291291291290290290289289288287288288288288288288288288288288287287288287288288288288288288289289289289289289289289288288288287288288288288287289289289289289289288288288287288287288288288288287287287287287288288288287287287287287287286286286286286287287286286287287287287287286284284284283283282283283282282282282282282283284284285285286286287287287288288288287287286285285286286286286286286286286286286286287287288288288289289290289289289289290290290290291291291291291291291291291291291291291290290290291291290291292292292292293293292293293293293293293293293293293293292292292292292292291292292292292292291292291291291291291291291291292291291291291290290290291291291290290290290290290290289289289290290290289289289289289290289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283283281999284283280279279279279280282282282282281281281281282281281280282282283283284283283282283282282282282282282283281280280280279278278277276276277277277277278280283286286286286285285286285284284283282283283283283283284283284283283284282280999999999999287288288288289290290289287291289290290291289290291291291290291291291291291292290290290290290290290289289289290290290290290290291292290290289290289289288288286290290289289290290290292292293288288287290290291291290291291295290291292290291292292291291292289291293289289288292288289289293288290290288288288288288289287286285287286289289288290290289287289286287287285287285287285284284284284284284285286286285285283282278279281282283283283283283283283282282283281281281281281281281282282280282282283283283283283281283283282283283283282282282282282281280280279278279279280281282282282282283284283283283283284284283284284284284284284283283283283283283284284284284286287287287287286287287287287287287287287288288288288289289290290290289289290290290289289290291289289290289290290289290290291289290290290290290290290290290290290291290290290289289289289289289288288288288288288288289287287287288287288288288288289289290290290289289288288289289288287287289288288287287288289288289290289289289289289289289289289288288288288288288289289289289288288287288287287286287287287287287287287287287287287287287286285284284284284283283284283284284284283283285285284284284286286287287288288289289289288287286286286286286286287287287287287287287287287288288288289289289288289290290290290290291290291291290291291291291291291291291291291291290290291291291292292292293293293293293293293293293293293293293293293292292292292292291291292292292292292291292292292292292292292292292291291291290291290291291291291291291291291291291290290291291291290289290290290290289289290290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283282282280279279280281282282282282282282281281281281280281281282283283283283283283283284284283283282282282281278278281281280279279279279279279279278278281283284285287286284286286286285282283283283282282283283284285284284284284283281281999999287286287289286289289288289290290290290290290290291291290290290290290291290291290290291291291291290289288289288289291291292291291290291290291291289289290292288288287290289290291290291291292292291292291292291291294291293291292295291290292292295294293292291290290291290291292291291291290291290289289290289289289289288287286287288291290292292292292290290290288287287286286286287286286285285285284284284284284286285285284282278279282284284284284284283283283282281281281280281281280280281281281281281282283283282282283283283283282282283283282281281281282281281281281281281281280281282281281281282283283283284284284284284284284284284283283283283283283283283284284285284287287287287287286286286286287287288287287287288289289289289290290291290290290290290289289290290290289290290290290290290289290290293290290290290290290290290290290290289289289289289289290289289289289288288288288289289289289288287289290290289290289290290291290290289289288289289288288288289288288287287288289289289290290290289289289290290290289290289289289289289289290289288289288288288288288287286287287287287288287287288288288287287287286285284284283284284284284285285285286285285285285285285286287288287288289290290289290289288287287286286287287287287287287287287287287288288288288289289289289290290290290290291290291290290291291291291291291291291291291291291291291291292292293293293294294293293293293293293293293293292293293292292292292292292292291291291292292292292292292292292292292292291291291291290290290290290291291291291291291290291290291290291291291290290290290290290290290290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999282282283282281279279280281282282282282283282282281281281281281281282282283282283283282283283283283281282281282281281280280280281280280280280279280279280280281282284285287287287287286286285283282282282283283282282282282283284284284284283280999999285286287288289289289289289288288290290289290290290289289291290289290291291289292291291291291291291290290290289290290290291291292289289290292291289290289290288286287289290289288289291292293290291291292289289290292294294290292289292291292291293294292289290289290289290291293289292291288286290290289289289290289288290289288286286291292291291292291290290289288286287287286286286286286286286285285284284284284286286285285283282282282284284284284284284283283285284282282281281281281281281281282282283282283282282283284283283283282282282282282282281281282281280279279279279279280280280280281282282282282283283283284284285285285283283283284283283283283283283285284284286285287287287287287287287286287287287287288287288288289288289290290290291291290290290290290290290290290290290290291291291290289290290292291293290290291290291290290289290289289289290290290290289290290289289289289289289290289289289290289290289291291288290291291291290290289289289288289288289289289288287287289289290289290290290290290290290290291290290290290290290289290290289289289288288289289288288288287288288288288288288288288288288287287285285284285284285285286287288288289288287286285285286287286287288288289290290290291290290289289288287287287287287287288288288288288288288288289288288289289289290290290290290291290290290291291291291291291291291291291291291291291291292292292293293293293294294293293293293293293292292292292292292292292292292292292291292292292292292292292292292292292292292291291290291291291290290290291291291291291291291291290290290290290290291290290290290290290290290289290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999282282282280280280281282282282282282282282281281281281281281282281283283282281281281282280280281281281281280279279279279279280280280280280279279281281282283285286287287287287287287286285282283283283283282281281280283284283284284283282281999287287286287289289289289289289288289290288289289289289288289291291291289289289291290291292291291291290290291289290290290288288290291290290291290291289291291289289289289290289288289291292291290290291291291291292294292290292292291289292292291292290291288289291290291291291289289289287287289291291293290289288287286285286286288287289290291290288288290289288289290287288287287287286286284284286285284284283284284285284285284283280282284285285285285285284284284283283282282282282282282282283282284284283283283283283284284284283281280281282282282282282281281279277279279280280280280279279279280281282284283283284284285285285285284284283283283282283283283283285285285285287286286286287287287287287287287287288287288288289289288289289290290290291289290290290290290290290289290290290291291291291291291291291291291293289289289290289289289289289289289290289289290290290290290290289290289290290291289290290290290291293290291289291291291290290290290290289289288288290289289287288288289290290290290290290290290290290290291291290290290290290290291290289289289288289289289289288288288288287288288288288288288287287288287285285285285286286287288290290290289289289289288287287288288288289289290290291291291291291290290290289288287287287287288288288288288288288288289288288289289289289290290290290291290290290291291291291291291291291291291292291291291292292292293293293293294293293293293293293293293292293292292292292292292292292292291291292291292291292292292292292292292292291291291290291291290290290290291291291291291291291291290290290289289289290290289289289290289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285282281282281280280281282282282283283283283282282281282282281281281282283283280280281281277277281280280280279279279278278279280280281281281281281282283284284286287288287284285288288287287285284283283283282283282281281283282281281282282282999287286286286287288289289289289288288288288289288289288290290289290290290289288291291290290291291291291290291292291290289288287288289291288288288288291289290288288288287288290289289288289289290290290289291290290290293291292294289293294294292292290291290291291291291291290291291294289288288287293290290292288287287286289286288287288289288289289287290288288290290289288287288288287287287284283285285285285285284285285284285283283284285286286286286286285285284284284283283283283283283282282282283284283284283283283284284284283284282282282282282282283282281281281281279280280280280279280280281281281282283283282283283284284284284284284283284285283283283283283285285285287287287287287287287287287287287287287288287287288289288289289290289290290290289290290291290290290291290290290290291291291291291291291291291294292289289289291291291291291289289289290289290290290290290290291289290290291291291291290291291292292291291291290289290290291290291291290288289289289290289289288288289290290290290290291291291291291291291291291291290290290290290291291291290290289289290290289288288288289288288289289288288289288287287286286286287287288288289290291291290289289289290288289289289289289290290291291292292292292292292291291290290289288288287287288288288289289289289289289290290289289290289290290290291291290291291291291291291291291291291291291291291291292292293293293293293293293293293293293293293293292292292292292292292292292292292291291292292292292292292292292292291292291291291290289290290289290290290290290291291291291291290291290290290289289289289289289289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287285282281282281280281282283283283283283283282281282282282283282282281281283281280280280279280280279279278278279280281282281282282282282283283283284285285286287287288288287287286288288288287285283283283283283283282282283283281280280282283282999286286286287287288289289289289289289289290288290290290290289287289289289287290291291290292291291291291290291291289290290292292291289292290287287289289289290289289288289289290290289288290290290293292292291294292294292292291292292292292292291290291291291293292291292292291291290293293293291293293293291290292290289290289290290290290291290290290291290290290289289289289288288287287287286286286286286286285284284285283284284283285285286287287286284284285284285284283283283283283282282282282283283283283283283283283283283283283283283283282282283283282282280278278279280280280280279278277278279281282282282283282283283284284284285285284284284284284282283283284285285285287287287287287288288288288288287287287289288289289290290289289290290291291290290290291291291291291291291291291291291290290291291291291291290293293290289289291291290291289289289289289290290290290290291291290291291291291292291289291291291291292291291291291291291291291291291292290287290291290290290290290290290290290291291291291291291292292292292292292290291291291291291291291291291292292291291290290289289289289288288289289289289289288287286287287287288289290291290290291291291290290290290289289290289289290290291292292292293292293293293293292292291291291290289288288288288289289290289289290291290290289289289290290290291291291291291291291291291291291291291291291291291292291292292293293293293293293293293292293293293292292292291291292292291291291291291291291291291291292292291291292291291290291291291291290289290290290290289290290290291291291291291291291290290290290289289289289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285282281281281280281282283283283283283282283282282282283284283282282283281280279279280278278279279280280281282283283283284284284285285285285285286285286287287287288288288288289288288288285284283283283283284283283283283284283282282283284285285286286287287288289288289289289289288289289290288288289289287288289289290290289291291289290292292290291291289290289291288287292290287290290288289289288288287288288287287290288286288288289291290293291292292290293292291290291292292290288289290291291291290291290290293291290290290290294288289288291289288292290289288290290290289290290290290290290290290290290290290289288289287288287287287287286286285286286285284284284285284283285285287287286286286285285285285284284284284283284283283282285284283282281282282283283282283282283282283283281283282282282281281279278279280280279279279278278279280280282282283283283283283284285285285285284284284284284283283283284285286287287288287287288288288288288289289289288289288289289289289290290291290290290290291291291291290291291291291291291292291290291290290291291291290291290289289289292292289289292289288289290290290290290290290291290292292292292292291291291292292292290292291291291290291290290291292292290290290290291291290289291290291291291291291291291291292292292292293292292293291291291292292292291291292292292293292292292290290290289289289289289289289289288288287288288289289289290291291291291292291291290290291290290290290290291291292293292293293293293293293293292292292292292291291290289288288288289290290291290291291290289290290290290290290291291291290291291291291291291291291291291291291291291292293292292292292292293293293292292292292292292292292291292291291291291291291291291291291291291292292291291291291291291290290290290289290290290290291290290290290291291291292291291291290290290289289289289289288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282281281281281281282283283283282282282282282281283283284284281283281280279279277279279279280282283283283284284284284285285285285285286286286286286285286286286288288287289289288288287284284283283283283283283283282283283283283283283284285286286286286287288289289289290289289288287288288288288287287287289291290289290291292291288291291290291289289290291288287293289290288288291292288290291289289289288289291291289288288291291291291294291294293293291292290291290290290291290292291291291291291290290292291292292291289291295294289287289291290289292291290291290290291290289291291291291291291290290290288289289289288288287286287287286286286286285285285284285284283282285285285285286286287285286286285285285285284284285285281284283283284284281281282283281281282281282281281281282282282282281282281280280279279279279279278278278278279280281282283283283284284284284285285285285285285284284284284284284285286287287287288289288289289288287288289288289289289289289290290289290290290291290290291290292291290291292292292291291291292291291291291291290291291291293290290290290292291290289291292289289290290291291292291291292291293293293291291293292291293291293291290291290292290290292292292293293292292291292291291292291291291291290290291291292291291292292293293293292292293292293293292292292291292292292293292292292292292292291290289289289289289290290289289289289288289290291291291292291291292292292291291291290291290290291292292293293293293294293294294293294293293293293292293292291290289289288289289290291290291291291290290290290290290290290290290290290290291291291291291291291291291291291291292292292292292293293293293292292292292292292292292291291291291291291291291291291291291291291291291292291291291291290290290290290289289290289290291290290290291291291291291291291291291291291290290290289289288288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284282282281281282282282281281282282282282283283282283283284284284282280279277278280278278280281283282284283284285285284284286286286286285285286286286286286286287287288287288288288288286284283283283282281281282281281282281281282282283284284285286286286287288287290290290289289287287287288289288289288289289290291291291292291291288289291293292291291290291289289292290292291290293292292290291289289290289289290291290290290293292294294294294294293294291292291291292291291292292293292291292291295293291293290291294294290292295294295294290293294292293292293291291291291290291291291291291291291291290290288289289288287288286287287287286286285285286284285284284285284284284284286286286287286285286286285285284284284285285285284283286281282281282282283282280281281281281281282282282281282281281281281280280279280279279279280280281280280281283284284284284284284284285285285285285286285285284284284285285286286287287288289288289289289289288288288289289289288289289290290291291291290291290290291291291291291291292292292292292292292291291292292291292292291291290290290290290292292292290292292291290290291291291291292292291292293293293292293293291291293292292292292292290291290291293291293293292293293292292291291291292291291291290290290291292292292292293293293293293293293293293293292293292292292292293292293293292293293292292291290290289290289290289289290289290289290290291292292292292292292292293292291292291291290291292292292293293294294294293293293293293293293293293293293293292290291290289288289289291291290290291291290290290290290290290290290290290290291291291291291291291291291291291291292292292293292293293293293292292292292292292291291291291291291291291291291291291291291291291292291291291291291291290290289289289289289289290290290290291290290291291291291291291291291291290290290289289289289289288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284284282282282282283281280281282282282283283282282282283283282281280279278276278280280280282283283283284284285285283283285286286286286286285285287286287287287288288288288288288288288284283282282281279279279279281281281281282281281282283284284285285286285287289289289289288286287286286287288288288288289290290292292292292291288288290291293293293290289290289289290290291292292289290288290288290290290290288290288287290289292292294294295292292292294294292293291289290289292292291292293293291291289290290290290288290290291291291292292291291293295291290291291290292289292292292291292292292292289289289289290289288287287286287287287286286285285284286281284286285284283284285285286286287285286286287286286284284285284284284283283282283282280281282282281280281281282281281281281281281281280280280280280279280278278278280278279280280281283283284284284284284284284285285285285286286285285285285284285286287287288288288290289289289290289289289289289289289289290290290291290290290291290291290291290291291291291292292292292292292292292292292292292292292291291291293290290289291291291292291291289290291291292292292292291292292293293292293293291291291291290293293292294293291292293292292294294293293293294294293293293293292291291291291291291292292293293293292292292292293293293293293292292293292292293293293292292293293292293293292292292291290289289289289290290291290291292292292293293293293293293294293293292292292292292292293293293294294294294294294293293293293293292292293293293293292292291290290290289290290290290291291291291291291291290290290290290291291291291291291291291291292291292292291291292292292293293293293292292292292292292292291291291291291291291291291291291290291291291291291291291291291290290290289289290289289289290290290290289290290290290290290290290291291291291290290290289289289288289288289289288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284284284283282282283283282281280281282284283282282282282282280280279277276277276279280277281282283284284284284285285285285287286286287286286285285285287288287288288288288288288288288285283282282281281280279278278280281281281282281282282283283282283284286285286289289288289287287286287287288288289287288289291289292291291292291290289290290293293293292293292288290290289290289289288287289291291292290291290288290290293288290291290292294294292291291293291291291290290289291292293292292293293290289289288290290291288291290288291289292292289295293291291290291289290290292293293292291292291291291288288289288289288287287287287287286286286285285285283282282283282284283284286284287285285285285286287286285284284283283284284281283282282282281281282282281281281281280280280281281281281281281280280280280280279279279279280280280280281282283284284284285285284285284284284285285285285285285285285285285286287287288288288289289289290290290290289289289289289289289289290290290290290291290291290291291291291292292292292291291291291291291292292292291291290290290291291291290290290291291291290292290290290291292292292292291292291293292292292292290293293293294294292294294294294292293293293293293294294293293294295294294295294293292291291291292292292292292292293292292292292292293293293293293293293293293293293293293293293292293293293293293293293293291291291291290290291291291292292293293293293293293294294294294294294293294293293294293294294294294295295294294294293293292292292293293293293293293292292291290290290291291290291292292292292291291291291291291291291291291291291292291291291292292292292291291292292292292292292293293292292292292292292291291291291291291291291291291290291291291291291291291291290290290290290290289289289289289289289289290289289290290289289289290290290290290290290290290290289289289289288289289288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285999282282282284284283283280280282283283283282282282282280279278275275275277278277276278281282283284284284284284284283285286286287287287287286287287287287287287288288288287288286285282282281281281281281279279280280281281281281281283284283284282283285286284288287287288287287286286286287289286288288287288290292289291291290291291290289290290292289292293292289289290289290290291291289289290289292290290290291290293291290290292291292292291291293295290290290290290290290294292293289291293292291292289289291290290292290292290289289289291292291291291293292292292291292293293292292291291291291289287289289289289286287286287286286285285285286285285284283282283283284284286283284284285286286286286286287283282282283284283284284283284281282281281282282281282281281282280281281281281281281281281280280280280278281281281278281280281284284284284285285285285285284285285285285285285285285285285285285285286288288288288288289288289288289290289289289289290290290290290289291290290290291291291290291291291292292292291291291291291293292291291291291291291290290290291290292291291291291291291288292291290290291292291292290291290290292292293292291294294294293294292291293293293293291292293292294295294294294294293295294293295295294294292292292292292293292292293293293293292292293293293293294294293293293293293293293293293293292293293293293293293293293293293292291291290291291291292292294294294293293294295294295295295294294294295294294294294294295295294294294294294294293293293293292292293293293293293293293292289290290291291291291291291292292292292292292291291291291292291291292292292292292292292292291291291291292292292293292293293292292292291292291291291291291291291291291290291290290291291290290290290290290290290289289289289289289289289289289289289289289290289290289289289289290290290290290290290290290289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288289999285999282283284284284284282282282282283283282283282283281279278277276275274275277278279280281284284284284285284284284283285286286287287287287287286287287286287287286287286288287285283283282282282282282281280281281281281282281280282283284285285285285285286286287288289287287287287287288288289290289288288289290292290291292291291291291289291290291291292291292291291291289290291292291290291292292290291291290290291293294294292291292292291291291292292292291294293293294293293293294294293294295293293293294293291292293293293293293296295294293292293293293292293292291292293291291291290291291290289289288287288287286286286286285285286284285286286285286284283282283283286284282284284284286286286286285286284283283283285283283284284283282280280283282282284282282281281282281282282281281281281280280280280281281282283281281281283282284285285286286286286285285285284284285285285285285285286285286286286287287288288289288288288288289289290289289289290290290290290290290291291290290290291290290291292291291291291291291291291293292293292292291291292291291290290291291291291291291292291290290291291290290291292293291291291290291291292292293293291294293294293294291290291293293291292292292294295295295294295295295295294295295294294293294293293293292293293293293294293293292293293293294294293293293293293293293293293293293293294293293294293294294293293293294294293292292292292292292293294294294294294295295295295294294295295295295294294294295295294294295294294294294294293293293293292293293293293293292293292291290290291291290291291291292292292292292292292292292292292291291292292292292292292292292291291291291292292292292292292292292292292291291291291291291291291291291291290291290290290290290290290290290290290290289289289289289289289290290290290290289289289290289289289289289290290290290291291290290290290289289289288289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287286284284282283283284284285285284283281281283283282283283282280278278278278276275274278278279280281283284284284285285285285285286286286287285284286286286287286285286286286285286285284283283282282283283283282281281281281281281281282283283284284285286286286285285286287288289286287286285286287287289287287288287288289290291291291291292291290290291291292291288291291289291290289290292292291292290290291290292290291291291294293291290290291292290291290290290292292291294292291291290289290290290290293291289291290289289289293293290291291292294290294292291293293289291293291289291291290289290288289288287288286287288287286286285285284285284285286285285284284284283283282282282283283283283284285286283284285285284283283282284284283284284284283283280281283284284283281281282282284283283283283283282282281281281281282281281281283283284284285285285286286286286286285284284284285285285285285285285285286286287287288288289289289289288289289289290290290290290290290290290290290290290290290290291291291291291291291291291291291291291293293292292293292292291291291291291291291292291291291292290291291293291291291291292292292293293293293293293292292291293291294294291293291290292294291291291292293294295295294296296295296295295295296294294294294293293294293294294293292294293293293294293294294293293294293293293293293293293293294294293294294294294294294294294294294295294293293293293293293293294294294295295295295295294295295294294295295294294295295295295295294294294294294294293294293293293294293293293293293292292292292291291291290290290291292292292292292292292292292292292292291291291292292292292292292292291291291292292292292292292292292292292291291291291290291291291291291291290290291290290290290290290290290290290290290290289289289289289289289290290289289290289290290289289289289289290290290290291290290290289289288288289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287999999285285283283283283284284285285284283283281282283283284283285283280999275276277277276278279279281283282283285285285285285285284285286286286284285286286286285285285285285285285285286284282282281281281282283283282281280281282281281282283284284284285286287286286286286286287286286287286286286285286286285287287288288289292290290292291291290292292291288289291290289289289289289288290291290292293290290289291291291291290290291293294290291289290290290290291292291291292291293293290291290290291289290293292291289291289290290289294293291292294294291291291292292292291290293291289290292291290289290289289289288287286288288286285285284284283285285286285284283283283283282283282283283283283283283284285284285284284287287284283282284284283284281282282282282284283282282282282282283287283284286284284284283284283283283283282282283284284284285285285286287286287287287286285284284284284285285285285285285285286286287288288289289289289289289289289290290290290290290290290290290290290291291290291291291291291291291291292292292292291291293293292292292292292293293292292292291290291291291291291290291293293293292291290292292293293293293293293293292290292291292291292294293292293291292290294294293293293295295296294296295296296297296295295295295294295294294294294294295294294294294293294294294294294294294294293293293293293293293294294294295294294294294295295295294295294294294294294294294293293293293293294295295295295294294294294294295295295295295295295295295295295294294294294293293293293293293293295293293293293292292292292292291291290290290291292292292292292292292292292292292291292292292292293292292292293292291291291292292292292292292292292292292292291291291291291291291291291290290290290290290290290290290290290290289290289289290289289289289289289289290289289289289289289289289289290290290290290290290290290290289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286285285284284284284284284285285284284284283282281283286286284287999999999999999999273275277276279281282284284284285286285285284285285285286285284287286286285285285285285284285282284283283283282281281280281282282282281281282282281281282284284284286285286286286284286287287285286285285285286286286287286287288287289290291290291290290290289291291291291288289291292292291291288291289292290290293291291291291291291290290291291291293293291291289289290290290290290290293291292291293290291290291290290293293290294292293294293292292293293295292293294294292292292293290291291293292291290290289293289288289289289288287287287287286286285285285285284283284283283284283284284282282283282283283284282282283285283283284284287286285284285284284284283282282283283282283282283283284283283284285285285284285285284283285285285285285284285284285285285285285286287287287288287287287286285284284284285285285285285285285286286287287287288288289289289289289289290290291290290290290289290290290291291291291291291291291291291291291292293292292292293293293293292293292294294294293292292292291292292292292292293293292292292292292292292292293293294294294292291291291293294294294292292292292293292291290293294294294293294294296294296296296296295296296296295295295295294294294295294295294294295294293294294294294294294293293293293294293293293293293293293294294294294294294295295295295295295294295295294294294294294293294295295295295295294294294295295295295295295295295294294294294295295294294293293293293293293293293293293293293293292292292292292292291291291291292292292293293293293293293292292292292292292293293293293293293293292292292292291292292292292292292292292292292291291290291291290290290290290290290290290290290290290290290290289290290289289289289289289290290290290290290290290290290290291290291290290290290290290290290290290289289290290289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287283284285285284285284283282282284285285285283282280282285288285999999999999999999999999272274276277279282282284284284284285285285285285284285285285282285285284285284285284282283284284283283284283282282281281281281283282280282281281282282284285285284286286287286287286287287287287286285285285286286286286286286287288288289291291291291289289289289291292292287290291292292292291293291292293291291292292292292292292292291292291291291293294289289288291291290290291291291293292293292292292291292293291293293293293293291289290290291294293293289291292291291292291293291291290290289292290289291290289288288287288287288287286287286286285284284285285284284284284283283283283283282281283282282282284283283285283283283284286285286285284282283281283283282281282283282284282286283286284284283282284286286284285284284285285285286285285286285287286285286288287287288288288288288288287285285284284284285285284285285285286287287288288288289289289289289291290290290290291290290290291290290290291291291291291292292291292291292292293293293293292293293293293293293293294294294294293292292292292293292293293294293293292293292292292292292292293294294293292292291294294294295295293292290291293293292291294294293295295296296297295296296296295295295295296295296295295295294294295294295294294295294293294294294294293293293293293293293293293293293293293294294294293294294294295295295295295295295295295294294295294295295295295295295295295295295295295295295295295295295294294294294295295295295294294294294293293293292293293293293293292292292292292292292292291291292292292292293293293293293293292292292292293293293293293293293293293293292292292291291291291292292292292292292292292291291291291291291290290290290290290290290291291290290290290290289290289289289289289290290290290290290290290290290290290291290290290291290290290289290289289289289290290290290289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284285285285285284283282282281282284284283283281280283285286999999999999999999999999999275273277280282283282284284284283285284284285283284284285284285285284284284284285282283284283283282282284283282282282282281280282281282282282282281282284285286286286287287287287287287287287285284285283284284285285286286287287288288288289290289291288288289288287287288289289288289291291291293291289290291292290292292292293292291291291292290291293291289289288290291291290288291291291292292291290289291290291292292291289291294291290290290291291292289289291292291292292291292293293290289289290290289290289288289287288289290288288287286286286286284284285284284284283284283285282283283283281281282282283283284284284282284284286286285286286284282284284285284283282283283284284283282283284284284284284284284285285285286284286286286285286286285285287286286287289287288288289289288288288287286285284284285284284284284285286286286287287287288288288289289289290290290290290290290290291290290290290291291291291291291292292292292292292293293293293293292293293293293294294294294294293294294293293291292293294293292294293293293292292292290291292291293292293293292292294294294294291293292291291292292293293294294294293294294294296294295293293295295295295295295295294295295294294295295295295294294294294293294294294293293293293293294293293293294294293293294294295295295294294295295295295296296296295295295295295295295295296296295295295295294294294295295295296295295295294294294294294294294294294294294293293293293293293293293292292292292292292292292292291292292291292292292293293293293293293293293293293293293293293293293293293293293293292291291291291292292292292292292292292292292292291291291291291290290290290290290291290290290290290290290289289289289289289289290290290290290290290290290290290290291290291291290290290289290289290289289289289290289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286286286286286285285283281280280281282283283282282280282284284287999999999999999999999999275273275280282283283283283284284283284285285284284283284284284285285284285285283283283282283283281281280283283283283282282281281281281282282282282282284285285286286286286287287287287287286287286285284284284284285285286285286287288288288289286289288291289289287288289290290289287289290291293289291290290291292292291292292293293293293292291291291292291290289290291290290290289290291292291291290293292293290290290289292290291290294290291291291290289289290292291291291291291292289289288291289292289290288287287289287285286287287286286284286286286286285285284283283282283284284282284284283280280283283284283284285284284285285283285285285284285283284281281281282283283282284282282283284284283283284285285284285285285286285286286286287286286286286286287287288288288289289289290289289288287287286285284285285284284284285286286287286287287288288288288289289289289290290290290290291291290290290290290290292291291291291291292292292292292293293293292293293293293293294294294294294294293293292293293293292294294294293291292292292293292292292292291291292291292293292291293292294293293292291291291293294294294294294295296296293295295294294294296297297296296295295294295295295295295294294294294295294293294294294294293292293294294294294294294294294293294294295295295295295295295295295295296296296295295295295295295295296296295295295295295295295295296296295295294295295295294294294294294295294294294293293293293293293293293293293292292292293292292292291291291292292292292292292293293293293293293293293293293293293293293293293293293293293292292291291292291292292292292292292292292292292291291291291291291290290290290290290290290290290290290290289289289289289289289290290290290290291291291290290290291290291291290290290289290289289289290290289289289289289290289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286286285285284282280279279280281283283283282280281284287290999999999999999999999999999275277280283283283283283285285285285285285284283284282283284285285285285285284282283282282284281281282999999282283283282282281281282283282283282283284284285286287286286286286286286286287286287286286286285285285285285286287287288287288287289288288288290290289288288288290290290289290291291292292291290289291293292293294294294294293294292290289290291290290289291289290291290291294292292293292293291292293294294293291293294293294294294293293291291292291291293292290292291289291289290290290289291288289290288289288287287285285285285286285286286285285285284284285285284283283282282283283282281281283285283284285286285284285284284285285285286286284283284284284284283284284284283283284284284284285285285286286287287286286286287287287287286286287287287288288288288289290290290290291289289289288287286285285285284284284285286286287286287287288288288288289288289289290290290290290290290291290291290290289291292291291292291292292292292292293293293293293294293294294293294294293293294294294293293293293293292292292292291292292293291291292293292292291291291292293292292292291291292294294292292292294294296294295294295297296297297296295295296296296294295296295295295295295295295295294294295294295295293294294294293293294294294293294294294294294294294294295295295295295295295295295295295295296295295295295295295295295295295295295296295294295294295295296295295295295295295294294294294295295294294294293293293293294293293293293293293292292292292292292291291291292292292292292292293293293293293293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292291291291291291291290290290290290290290290290290290290290290289289289289289289290290290290290291290291291290290291290290290289290290290289290290290290290289290290290290290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285285285285284281278278278278279281282282281280280283286288999999999999999999999999999999999279284285284284284281285284284285284284284284284283284284286285286285283282283283282283283283283282282282283283282282282283282283283284283283284284285286286287286286286284286286286286286287287286285285285285285285285286286287287286286290290289289289290289288289289290290289288290291291292291289289290291293293294294294295295294293292290288290289290291291292290288288290292292293292293292291290290293290290290290289294292291292293293293290289290289292291291290290291289290288289290289289290290288290289289289288286286286286287286286285284283284284285283283283284284284285282284284283282285284284284286287287286285285286286285284285287286285284285283284284284284284284284284285286286285285285286286286287286286287288288288288288287287287287288289288289289290290291290291291290290290289288287287286285285284284285286286286287287287288288288288288289289290290290290290290291290291291291291290291292291291291291291291292292292291293293293293293293294293293294294294294294293293294294294294294293291291292291291291292292292292291293292292292293292293294293292292294293293293294292294293294294295294294295295298296295296297295297297296295296294294295296296296295294295294294294295294294295294294294294293294294294293294293294294294294295295295296295295295295295295295295295295295296295295295295295296295295295294295295295295295295295295296295295295295295295294294294295295294294294294294294294294293294293293293293293293293292292292292292292291291292292292291291292292293293293292293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292291291291291291290290290290290290290290290290290290289289289289289289290290290291291291291290290290291291291290291290290290290290289289290290290290290290290290290290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289296292290289288287286285285285283281279278277276277278279280279279279282284286999999999999999999999999999999999999283283284283284284284285285285285284285284284284283284284283284284284284283284284284282284284283282281280281281281282280283282283283283284285285285286286287286286286286284285286286285285285286285284285285284285285285286286286287286289287288288289287289290289290289289288288290291291291291289290290293290292292293294291295295295293292291290289290292290291289288290289292290293292293294292293290289291294290293292291291290290290290292289290290292291292291291288290288291291291290290289289290289289290289290288286287285287286288286286284285284284284285285283284285286285283286284284285284285285286286286287286285286286285286286286285284286285284284284284285284285285284285285285286286286285286285287287287288288287288287288289288288288288289289289289289289290290291291291291291290290290289288287287286286285285285286287287287288288288288288288289289289289290290290290290291291291291292292292292291292293293292291291291292291293293292293293293294294294295294294293294295293293293294294294294293292291292292292295295294295295295295293292293291292292294294293293293295293294295294295294294295295295295296297296298296297297298297296295295296295296295296296295295295295295294295295295294294293293293294294294294295294294294295294294295295295295295295295295295295295295295295295295295295295295295295295295295294294295295295295295295295296296295296296295295294294294294294295295295294294294294293294293292294293292293293293293292292292292292291291292292292292292292292293293293293293293293293293293293293293293293293293293293293292293292292292292292292292292292293293292292292292292292292291291291291291290290290290290290290290290290290289289289289290290291291291291291291291291290291290290290290290289290289289289289289290290289289290290290290290289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289293293289287287287286286285283281279278277275275275276276277277278282284286999999999999999999999999999999999999285284285285284284285286286286286284284285285285285284282280283285283283283283283283284282283284284284283281280282282281283283282283284284285286286286286287287287287287287286286287286285284285285285284285284284285284286287286285286288289289288288289289288289289291291290288290288290290290290291291292293291293291290291295294292292292291290289290290291294293290290293293293291291293294293293294294294291291290293292293290289289292290292290291291291291290291291289290290291291290290288290290290288289289289289288286286285285287286285285284285285285285285283284287287285283286286286286284285286286287287286287287285286287286287288285286286285286285285286285284284286285285286285285286286286286285286286288288289288288288288289289290290289289290290290289289289290291290291292291290289290290289288288287287287286285285286288288287288289288288288288288289289289290291291290290291291291291292292292292292292293293293293292292292294294294293292293294294294294294294294295295295295293294295293294294293292295293295295295296296296296296296294294294293294294293293295293294294292294295294295295295296294295295295296298297297297296296295297295296296296296295296296296296295295295295294294295293293294295293295295295294294295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294295295295295296296296296296296296295295294294294295295295295294294294293293294293294293293293293293293292292292292292292292292292292292292292292293293293293293293293293293293293293293293293293293293293293293293292292292292292293293292293293293293293292292292292292291291291291291291291291291290290290290290290290290289290290290290291291291291291291291291291291290290290290290290289289289289289289289290289289289289290290290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288293292290288287286286285284282280279278277274274276277277277278280284287288999999999999999999999999999999999999284283285284283284284286286286286286286286286282282282279283999284284999999284284285284284285285285284284283283283283283283283282284285285286287288287287288286285287287286286286286286285285285285285286286285286286286287288288288287288288290287289291289289289289288288289288289291291291291291291291293294294293292292293293294293292292292290291290291290291294291292290292292293294292292292293293291294293293291292293290290292293292292291292292292291291290290291290290291291290291289290290290290291289289289288286286285285284284286284284284285284284286285285286286287287287285285289289289288287287286286286287286286287286287288286287286286286287285286287287287287287286286286286286287287287286286286287287289289289289289288290291290290290289290291291291291291292292293291291291291291290290289289288288287287287286285286287288288288289288289288288289289289289289290291290290290291291291292291292292292293293294292293292293293294294295292293292293294293295296295295295295294295294293295294296296294293295295294295295296296296296293294295295294295295294294294294292293293294295295295296295294296296296296297298297296295297297297296298297297297296294295295296295296296295295295295293295294293294295294294295295295295295295295295295295295295295295295295296295295295295295295295296295295295295295295295294295294294294295295294296296296296296296296295296295295295294295295294295295295295294294294294294293292293293293293293292292292292292292292292292292292292293293293293293293293293293293293293293293293293293293294293293293293293292292292292293292292293293293293293293293292292292292292292291291291291291291291291290290290291290290290290290290290290290291291291291291291291290290290290289290290289289289289289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291289287286285286286284282280279278278276275277279280280280281284288999999999999999999999999999999999999285286285285284284284286285286286285284284281283283282283282283282283283284284284285285283284285285284283281283281283283283284284282284285286286286287287285287286287285288285286285285285284285285286286286283285286286286288286285286285286286286286291289289289286288288290289288289290290291292291291293293292293293293294293294293293293292292292292292291291291293290291291291291292291289288289290290292292292294294291290292292291291293291291292291292291292290289291289288291291290288288291287287288286289288288287286285285285285287285284283283283283283284284285285285285285286287287289288287286284287287287287287287288285287287288289289289289286287288286288286287286286286287287286287288288288286285286287289290289289288290290290290290290290287291291291291291291292292292291291292291292291291290290289289288288287287287286287287287287288289289289288287288289289289290290290290290290291292291291291292292293293293293293293293294293294295293293293294294294293295295295296296295294294295294293295295294295296294294295294295295295294296294295295295295295295294294294294294295294295295294295295296298298298298297297296294297297299298297296297296297294296295295296296296296296296295295295295294295295295295294295295296296296296296296296296296296295295295295295295296295295295295296296296296296296295295295294295294294294294295296296295295296296296296295295296296295295294295295295295295294294294294294294294293293293293293293292292292292292292292292292292293292292292293292293293293293293293293293293293293293293293293293293293293293292292292292292292292293293293293293293293292292292292292292291291291291291290290290290290290290290290290290290290290290290291291290290290290290290290290290290290290290289289289289289289289289289289290290290290290290290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291290288286285285285285285284282280278277278279279281283283286287284285290999999999999999999999999999999999999285287286285285284284286285285286285283285285284283283283283283283283285286285284284285285285285284284283284284283282282283285283283284285287287287286285287287287287287288286284285285284284284285286287286285285285286287285287285287286287287287288289290290289288289288290289289290290290290292290291289290290292293294293293294294294292292292291291292292291289290289291291291291292291288288289290290292293293292292292289294292291291292292292291291291289289288289290290290289289290290288287286289285285286286287287284286285285284285283284282283284284284285285285286287287286287287287289288287287287286287285285286287287288286288290289288288288288288288287287287287287287287286286286287287288287286285287288288288289288289290291290290290289288290290291291291291292291292292291292292292292292291291290290290288288288286287287287288288288287288288289288287288289289289289290290290290290291291292292292292292293293293293293294294294294294295292293293293293294295295295294295295295295296295295296295294294294294293294293292293294295294295294294296295295294296296295295296295295295295295295294296295296296297296296297296296297297298298297297297296296296296296295295296296296296296295295295295295295295295295295295295297296296296296296296296297296296295295295295295295296295295295295296296295295295296295295295295294294294295295295296296296296296296296296295295295295295294295294294294294294294294294294294294293294293293293293292292292292292292292292292293292292292292292292293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292292293292292292292291291291291291291291290290290290290290290290291290291291291291291290291291291291291291291291291290290290290290290290290289289289289289289289289290290290290290290290290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290288287285284284285285284284283281278276277279281284285284286286289290999999999999999999999999999999999999285285287286286286285286286285286286285284284283284284284284283283285285285284283284285285285283283284285284284284283283284284285286284285286287288287285284284288287287287287286284284284285285285284286287286286285286286287286286289286287288289288289289290289290288289290290291288289291291291290291291291292291291293293293293294294295292293292291292291291291294292291290291291291292291289292292293294295295293294294293291292293291292292292294293292293292291291290290290291290290290290289289289289289288288287287287287286285284284285282283283284284284284284286287287287287288289289289289288287286286287288288287287289290287287290290289288290290288287287288288287286287287286285287286286287288288288289289289289289289290290290290291290292293293291290291291291291292292292292292292292292292292292291291291290290289288288289288288288288288288288288288288291289289289289290290290290290290291291292291292291292292294293293293294294295294295295293293294294295295295295296295296296295296297296296296297296294294295295293294292292292293293293293293295296296295295297295295296296295295295293293295294295295295295295295297297296297296297297297297297298297296295296296295296296296296296296296295296295295295295295295296296297296296296296297296296296296295295295296296296295296295295295296295295295295295294294294295295295294295295295295295295295296295296295295295295295295295295294295295294294294294294294294293293293293293293293292292292292292291292292292292292292292292292292292292292292292293293293293293293292292293293293292292292293293293293292292292292292292292292292293293293292292292292291292292291291291291290290290290290290291291291291291291291291291291291291291291291291291291291290290290290290290290289289289289289289289289290290290290290290290290289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291290288287285284283284285285285284283282278275275277280286287285285287291999999999999999999999999999999999999999286286287286286286286286286285286285284283283283284283284282285285284285284283283284285285285284284285285285283283283284285284284285286285287287286288289287288288288287287288287285285285285285285283285285285282284286287288289287286286287288287291288288290288289289290289290291289291291291292292291291291293293291292292293293294293293293295293293292291293293293293292291291290290289291292288289290290292291289292291291290293291290292292292292289289292292290288288289289290289289289287290289290286287287287287286286286286286283284284285285284284284284285286286286286286287285288288288288288287287288287287287287285287288288289290290290290289288288288287288288288288287286286286287286286285286288287290289289290291290291290290291291290289289290291291291291291291292292293292292292292292292292292291291291291290290288289290290289289289288288289289288288288291289290290290290290290290290291292292292291291291292292293293294294294295295295293294293293294293294296296295296295296296296297297297296295295295296296296292292293293293294294294293294296296296296295296296297296296295295294293294295294295296296296297297297297297297297297297297296297297297297296296296296296296296295295296295295296295295294295295295296297297296296296296296296297297296296295296296296296296296295295295295295295296296295295296294295295294294295295295295295295295294295295295295295295295295295294294294295294294294294294294294293293293293292292292292292292292292292292292292292292292292292292292292292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292291291291291290290290290290290291291291291291291291291291291291291291291291291291291290290290290290290290289289289289289289289289289290290290290290289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289290289287286285284283283284285285285285284282279274273273278284286287285288286999999999999999999999999999999999999999285286287286286285284286285286285285284283283282282283281282283283284284283284284284285283284284284284284284283283285284283284284285284288288287287288288286288288288287286286286285285285284283285283283282282283283287287287288288284286286289288289288288289289289289289291291289290291291291291293293292293292292293293292292293294293292293294293294293294295293293292291291291289292289290293294292290292292292294294293292291293291290290292290291292289289290289287288287288290287289286289287290289284285287285284284286285287284283285286286284284284284283285285285286286287287286287288288289289288290288288287286285287290287290288290290289290290288288288287287286287288288286286288288286288286285287289289290290290290290292290290291292290291291291292292291291291291292292292292292291292292292292292292292291291291290288290291290290288289289289289289289289289289290290290290291291291291291291291292291292291292293292292293293294295295295294295295294293293295294296296296296296296296296296296296297296298297296297295293294294294294295296296296295296296295296296297297296295295295296294294295295295296296296297297297296298298298298296297296296297297298297296295297296296297296295295296296296296295295295295295295296296296296296296296296296297296296296295295296295296296296296296295295295296295296296295295295295294294294294295295295295295295295295295295295295295295295295295295294294294295294294294294294294294293293292292292292292292292292292293293292292293293293293293292293293293293294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292291291291292291291290291291291290290290291291291291291291291291291291291291291291291291291291291291290290290290290290290289289289289289289289289289290290290290289289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290284284286286283282283283283283284285286286286285282278272271270272283288287282288999999999999999999999999999999999999999999285286287286285285283285286286284285284283282281281282281281281282283282282282284285285282284284285285283284283283285285285286285286287288288289289288286289288287287288287286286287283285286286284285283282282282283287287286285287288289286287290290288288288289290290291290291289291292291290293292293292292292291294293294294294293293293293294293293291292294292292289292293292291289289289291290294292292292290293294290292291291291290289292291290289289288288290287288288289286288288288289289288287285286287286287287284284285284284285285284284284284283283284286285286286288289289289287287288287287288288290287288287287289288288289289291289289289288288288289286286286287288287287287288288288286285288290291291290290290290292293291291292291292292292292293291292292291292293292292292292292292292292292292292292291291290290290291291291290289289289289289289289289289289290290291292291291291291291291291291291291292292292292292293293295295295296295295295294294295297296297297296297296296295296296296296296296296296297295294294294294295296295296295296297297295296297297296296296295297297294294296297298297298299298298297297297298298298299297295298297297298296296296297296296296297296295296295295295295295295295296295296296297296296296296296296296296296296296295295296296296296296295296296295296295295296296296295296295295295296295295295295295295296296295295296296296296295295295295294294295295295294294294294294294294293293293293292292292292292293292293293293293293293293293292293294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293292293292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290291290290290290290290289289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297284277280283284281280280281282282283284285285287286284281277271268271271281288287286288999999999999999999999999999999999999999999286285286286286286285286286285284285284283283282282282282283281281282282283284284284283284282284284285283284284284284285285286286284287287289289288288287289288288288288288287287287285286286287286286286283282283286286287286286286286287287288288288287288289289289290290290291290291292292292292292293293293293293292292294295292292292293293292292291292291293292292292290291291293291291292291294292293293292293293294294294294292289294293292292292291291291290289289288288288289288288288288289287287288287287287286286287286287286285284285283284284283284285284287285287287288289290289289288289292289288290288287288288288290290288289289291289288288288290288287288289287289286288287287288287288289289287290291290289290292292293292292292292292293292292292293293294294292293293293293293293293293293293292292292292292291291290291292291291291290289290290290290289290290290290291292292292291291292291291291291291292292292292293292293294295295296295296294296294295296296296295295296296296295296296296296296296295296296296295295295295295296297296295296296296297297297298297297296295294294294295296298298298297298298298299299299298299299299299296298298297296298297296296297295296296296297296296296296295295294295296296296296296296296297297297297296296296296296296296296296296296296296296295297297296296296296296296296296296296295296296295295295295296296296296295295295296296295295295295295294294294294295295294295294294294294294293293293293293292293293293293293293293293293293293293293294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290291290291290290290290290289289289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295291290286282281282281280278278278279280281281283284285286285283280276271268281279282288287288999999999999999999999999999999999999999999284286285285287286286286286286286284284285284284284283283282281281281283280283283282281284284284284284284284284285284285285285286285285286287286288288289287287288287287287288288287287286287287287287287286283282282283282283286288284287285286290288288286287287289290290290290289290291292292293292293290292292291290292294294294292292291291293293291291291292292292292290290291291292288290292291288290288291289292291291293291291291292291291291292289288288288289287288288287286287286287287288288285285285285287285284284285286285285285284284286286284284284284285286286287286286286290289290289289291289290287287288288289288288289288288289289289288289289289288288288288288287286287287287288288288286286287290290291291289291290290291292291292292292291292293293293292292292292292293292292292293292293293293292293293293292291291292291292291291291291290290290290290289290290290291291292291291291291292292291291292291291291292291292294295295295296296296296296294295295295296296295294295296296295295295296295296295296295295295295295295295295296296294295296297297296297297297297295295294294295297297298299299299299298299298299300299298299298299299299298298296299296296297296296296296297297297297296296296296296296296296296295296295296296297297297296296297296297297296296296296296295297295295297296296296296296296296296296296296296296296296296296296296296296296295295295295295295295295295294294294294294294295294294294294294293294293293293293293293293293293293293293293293293294293294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292291291291291291291291290291291291291291291291291291291291290290290290291291291291291291291291291291291290290290290290290290289289289289289289289288288289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290290283283282281279276276276277277279280280281282284285285283280276273270270275281286289287292287999999999999999999999999999999999999999285284285287286286286286286286286285285285285284285284281281281281281283283283283282282284284283284284285284285285285286285284285286286287287288288288289286286288288288288289288287288287288286287288288287286284283284287288286283285285285287290287287289288286289288288290290289290291292292293291292291293293291292292294293294293293293293292291293291291292291292293293292291291294289288289291288289291289292289291292293294292293292291289290290288290287287287287286287285286287287286287288287286287284287287285285286287286286285286286285287286283283284285287287287286286288288287288290289289288291288290288289287288290288289289289289289289289289288288290289288288288287285287287287287288288285285286290288291291289290289290291291291291292292292292292293292292291292292292292292292292292293293293292293292293292291291292292293292291291291291291291291291290290290290290290292291291291292292292292292292292292293293292292293294294295295296296297295296294295295295296296297296296296296297297297296295295295295296295295296295295296296296296296297296296297297296297297297296296296297297298299299299299299298298298299299299299298299298298297298297298298299299298297296296295296297296296296296296296296296297297297296296296296296297297297297297297297297297297296296296296296296295295296296296296296295296296296296296296296296295296296296296296296296296296295295295295295295295294294294294294294294294295295294294294294294294294293293293293293293293293293293293293294294294294294294294293293293293293293293293293293293293293293293293293293293293292292292292293293293293293293292292292292292291291291291291291291290290291291291291291290290290290290290290291291291291291291291291291291291291290290290290290290290290289289289289289288288288288288288288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287293290286284282282281279277275277278280281281281281281282284285284282279275271270270276280287290289286294999999999999999999999999999999999999999284286286284283284285286286287286286285285285284283283282281282282280281282282283283283283284284283285285285285285286285286286286284286287287287287288288288286288289289289289289288288288287288285288288287287286283284287289287283287288287285289288289289289289289287288290289289290291292293292292290290292292292290291293293293294293293294293291291294292291292292293292293293292291289291290290289291291289290290292292292291290289289290290291292290290289289289288286288287288288288288288287287288288288287288287285286286286285285286286285286285285284285287288289286287287288288290289290290289291291289289290289289290289290289289290290289290290289289289289290289289288288288287287287287287288288288290290291291292289289290290291291291292293293292293292292293292292292291292292292292292293293294293293294293293293293292292292293292292292291291292292291291291291291290291292292293293293291291292292291291292292292292292293294295295296296297296296297297297297297296296297298297298298296297298298295297296296296296296296296294296296297298296296297297296297297297297297296296296296297298299300300300299298296297298299299299299297299296298297297298298296298296296296296296296295296296296296296296296295296297296296297296296296296296297296296297297297296297297296297297297296296296296296296296296295295296296296296295295295296296295296296295295296296296296295295295296295295294295294294294294294294294294294294294294294294294294294293294293293293293293293293294294294294294294294294293294294293293293293293292293293293293293293293293293293293292292292292292292292292293293293292292292292292291291291291291291291291290290290290291290290290290290290291290290290290290290290291290290291291291291291290290290290289289289289289289289288288288288288288288288288288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288286285285283282281279279281283283283282282282282283286287285283279275274274274280283288290289284999999999999999999999999999999999999999285286286286285285287286286286286286285285285285285284283283282282281282281281282282282283283283284285285285286286287287286286286286284286287287287287288290289286286287289289288289289288288287288288289288287287286286285288288287286287288287290290289289288290290290288288289289292292293293291293294293291292293292292294293293296295295294294295293293292293292293293293293292290290292290289289290290289289291291292292292292292292291289289290290290288290288286287286286288288287286288286288288287287287285286285285283284285286285284286286286285286284287286287288288288289288288288290291291288289287288291288288289288290290290289290290291290290289289289289290290289288288288288287287287287288286287287288287291291292289290291290291291291292293293293292293293293292291292292291291291292292292293293293292293293293293292292292291292292293292292292292292292292292291291291291291292291292292293293292292291292292292292292292294295295295295296297296297297297296297297297297297298299299298298298299297296297297295295297297296294295296296297298297298298297297297297297296297298297298296297299299299299299299297297297297299298298297297298299298297298298298298298297297296296297296296296296297297297295295296296296297296296297296296296296296296296297297297296297297297297297297297296297296296296296296296296296296296295295295295295296295295295296296295296296296295295295295295295295294295295295294294294294295294294294295295294294294294294293293293293293293293293293294294294294294294294293294294294294294293293293293293293293293293293293293293293292292292292292292292293293293293292292292292292292291291291291291291291290290290290290290290290290290290290290290290290290290290291290291290291291290290290290290290289289289289289288288288288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289286287287288287286284283280280282284284284283283283284286288289289286280273274278281286289290291288288999999999999999999999999999999999999999285287287287285287287287286286287286285285286285285284282282282281280281281281281279280282282283283285285286286286286286286286287287287287289289286288287288288288286286286288288289289288288288287289288287287287286287287288289289286285286288289287288289289288288289287288290289288289290291291291290291291292292292292292292291292292292292293295293293293293291292292292293292291289289289288289290290290290292290289290293293292291291290290289289289289289289287286286289287286285286285285287287285284284286285287284284285285284284284285285286286286286287287288287289288290288287287290291291289289288289289288291288288289290289290289290290289291289289289290290290289288288288288287287287287287286289288287287291289291290291291290291292292291293293293291293292292293292291292292291291290290291292292292293293293292293292292292291291291292291291291291292292292292292290290291292292292292291294292292291292291292291291292292293294295295296296296296296296296297297297297295297298299299299298299298297297296296296296296296296295295296296297297298298297296298297298298297297297297297297299299300298299299298298297298298298298298298298298297297298298298298298298298298296297296296296296297297296296297296296296297297296296297296296296296296297297297297297297297296297297297297297296296296295296296296296296296296296295295295295295296296295295295295295296296294295294295295295295295295294294295295295294294295295294295295294294294294294294293294294293293293293293293294294294294294294294294294294294294294294293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292291291291291291291291290290290290290289289289289290290290290290290290290290290290290290290290291290290290290290289289289289289288288288288288288288288288288287288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287287288289289288288286285282282284285285284284284285286288289289288286279273274279284289291291290289287999999999999999999999999999999999999287285287287285286288287287286287286286285285286286285285283281282281281282281282283282282282282283285287288286287287285286286286287287287287289288287287288287288289287288288289289289288289288288288289288287287287287287287288288288284286286286287288286288290288289286289289290291289290290289293290290290292292292292292292290292293293292293292291294293293292291293292292292291289289290289289289289290290290290290291291292292290291291291291291290289290288288287287288288289288285287288287287285284285286286285285285285285286286285283286287287285285286286286287287286289289289289289290291290289289287288289288289289289289290290289291290290290289289289290289289289289288288288288287287287285287289289289288289289292291290292291291291291291291292293293293292292292292292292292292292291290291291291292293293291293293292292292291290290291292291291291291291291292291291291290290291290291291292292291291290291291292292292292293293293293295296296296296296297297297297297295296297298298298298298297297297297296296296296295296296295296297295296297297297297298299298297297298298297297298298299299298298298298298297297297297298297297297297299297297298298298298297298298298297296296296296297296296297297297296296296296296296296297297296295297298298297296297296297296296296297297297296296296296295296296296295295296296296295295296295295295295295295295295295295296295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294293293294294294294293293294294294294294294294294294294294293293293293293293293293293293292292292292292292292292292292292292292292292292292292292291291291291291291291291290290290290290290289289289290290290290290290290290290290290290290290290290290290290290290289289289289289288288288288287287287287287287287287287288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999287288287288289289290290289288288285284286286286285284285286287288288287284282277274276282287290291291290290292291999999999999999999999999999999999288288287288286288288288287287287287286286286286285286285284285284283283284283283281283283282282285284286287287287288287287287286286286287287287288287287288288287288287288288288288288289288289288288288288288288287288287287286288285285287288289290289287287288288287290290290290291292290292292291291290291292292292292292292294295295295295294294294293293292293292292292292292290291290292290289289288289289290291291291291292291292290291291290290290290289289289288288289289289289287288288288288287287288287287286286287286286286285285284287287287284286286286287287289289289289291289290289290290290288288288290290290289289291290290291291290289290290290290290290289289289289289288288287287287286288287290290290290291292291291291292292291293293293292292293291292292292292293293292293293291291292292292292293293293293293293293291291291291291292292292292292291291292291292291291291291292292293292292292291292291291292292292292293293294295295296296297296297297297297297297297297297298298298298298297298299297296296295296295296296295296297298298296296297297298298298297298297298298297298299299298297297298298297298298298297297297297297297298298297297298297298297298297297296296296296297297297297297297297297296296296296296296296297297296297298298297297296296296296296296297297297297296295296296296296296295296296297296296296295295295295295295295294295295295295295295295295295295295295295295295295295295295294295295295294295295295294294294294294294294294293293294294294294293293294294294294294293294294294294294293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292291291291291291291291290290290290290289289289289290290289290290290290290290290290290290290290290290290290290290289289289289288288288288288287287287287287287287287287287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999999999999999999999999999999999999999999999999999999296999999999291290290289288288289290290290291290290289289287285286286286286285285286287286284282279277278279282285289291292291291291291290999999999999999999999999999999287288288288288287287287287288287286287286286286286285285284284285284285283283285283281282283282284284286286287287287288288288287288288287287287287289286288289288287285286289287287288289289289287289288285285288287288287287286288287286284285284287288288287286287288288290288287289289290290290289290291288290291290290291291290291293293293292291294293294294293293292292292291292292290292289291290288290289289289290290290290290290290290290290289289290290288288287287286286288288288288288287289286287287288287287286283287286287286286285286285286286286286285285287287287287289288289288288289288289288288289288288290289288288290289289291291289289289290290290290289289289289289289288287286287286286286287289289288290288289292290290291290291290290291291292292293292293292291293292292292292291290291291291292292292291292292292291290290291293292292292291290291291292291291291291292291290290292292292292292291292290291293293293292294293292294293295296295296297297297296296296297297298297298297298296297298297298297296295296296297296297296297297296296297297298298296297297296297298298297298297297297296296297297297297297297295296296296297297296297297298297297298297297296297296296296296296297297296297297297296296296296296296296296297297298297297297296296297296297297297296297297297297296296296296295296296296296296296296296296296295296296295295295295295294295295295295295294295295295295295295295295295295295295295295295295294295295295294294294294294294294293294294294294294294294294294294294294294294294294294294293293293293293293293292292292292292292292292292292291291292292292292292292292292292291291291291291291291290290290290290290290289289289290290289289289290290290290290290290290290290290291290290290290290289289289288288288288288287287287287287287287287287287287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999999298300999999295294294293999297292290289289289289289289290290290290291291291291291290289288287286286286285285284284284284281280280282285287288291290292292292291291292290999999999999999999999999999999289289288288288286286287287287286286284286286286286285284283284285283282284286286285282283282282284285285286288288288288288288288287287285288288287287287286288289287286286287287288288289289288289289288289288288289287286284285287287287285287286286289290288288288289287289288288290290291291292292292291292291291291291290292292292293293292294291294294293293293293292292290291293293291291291290290288290288289289290291290290288289291290289289289289290290289288288287289289289288286288289287288287288287287288287285284285284286286286286284286286287284287285285287288287288289288288288288288287288288288288288289289286287289290289290291291289290290290291290289290290290289289288289287287287287287286286288289289290288291290290290291291291290293290292292293293293293293293292292293293291291292292292292292292292292292292293292291291292293292292291292291291291291291291291291292292291291292292293292292292292292292292292292294292293294295295295295297297297297297297297297297297297298298297297296296297298298297295294294296296296298295296297297296296297296297297297296296297298297296296296297298297297296297297296295296295296296297298298297296297298296298298297297297296296296296296296296297296296297297296296296296296296296296297296296296296296296295296296296297296296296296297296296295296295295296296296296296295296296296296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294293293294294294294294294294294294294294293293293293293293293292292292292292292292292292292292291291292292292291292291291292291291291291291291291291291290290290290289289289289289290290289289290290290290290290290290290290290290290290290290290290289289289288288288288287287287287287287286287287287287287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293999999999999999999999290295999999293292290290291291291290289289289289290290290290291291291291291292291291290289288287286286284284284283283284286285287288289290290290291291292292291291292295295293999999999999999999999999285289289289288286285285287286287287286286285286286285285284283284285284284284286286286284284282283282283286287287288288289289289288288288287287287286287286285287286289288286286288288288288288288288288288289287287288286287287287287288288286287288288287287288288289290290290290289290291292292292291292292292291291291291292292293294293294293294292291294293293293293292293292293292292291290289290290290288287288289291292291291290288288289288288289288289288288287289288288289288285286287288288288287287287287286285285285284284285285285285284287285288286288288287287286287287289288289288288288289289289287288287287288289288290288290289289289288290291289290290290290290289289289289288288287286287288288286287288289290289289290290290290292292291292293292294293293292293293293293293293294293293292292293292292292292293292293293293293292292293293293293292292292292292292292291291291292292293293292292292292292294293294293294294293293294294295295296297297297297297297297298298298298298298298298297296297297297298297296296295295296298298294295295296296296297297297296296295295295296298297295297298299295298298297296297298295297295296298298297297297298297297297297298296297297296296296296296296296296296296296296296296296296295296296296296296296296295295295296295296296296296296296297297296296296296296295296296296296295296296295296295296295295295295295295294295294295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294293294294294294294294294293293293293293293293292292292292292292292292292292292291291292292292292292291291291291291291291291291291291290290290290290290289289289290290290289289290290290290290290290290290290290290290290290290290289289289289288288288288287287287287286286286286287287287287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293291999999999289294293302294292292291290289290290290290290290290290290290291291291291292292292292292292291291290288288287286285285287288289290290291291291291291291291291291292292292292292295293295999999999999999999999288285290289289288284286286288287287286287286286285286285285285285284285284284285285286287286285285283284286285287287288289288290289289288289288287288287287286289288287287288288287288289288288288288287287287288287288288286286287286286287289288288288287287288291291291292291290289290290291291292292291291292292291292292293292292294295295293294295294293292293293292293293293293292292292292291291290292291289290288290292291291291291290288290289289289289289288288288288288288289287288289287288288288288287288287287287287286287286287286287287286287287287288290289289290289288289288288289289288289289289289289288290289289289289291290291290290289289291291289289290290290290288289289288288288287287287287288287288288287289288289290290291290290291293292293292293292292292292293292293293292292293294292292291293293293293293292293292292292292292292293293293292291291292291291290291292291290292292292293292292292292294294294294294294294295294294295295295296296298297297298298298298298298297298298297298296296297297297298296295295297297296296295295295297295295296296296296295294296296296297297297297297298297297297295298297298297296297296296297296297298298296297297298298298297297296296296296296297296296296296296296295295296295295295295295295296296295295295295296296296297297297296296297296296296296296296296295296296295295296296296295295295295296295295295295295294294295295295295295295295295295295295295295295296295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293292292292292292292292292292292292292291291292292292292291291291291291291291291291291291291291290290290290289289289289289290289289289289289289290290290290290290290290290290290290290290289289289289288288288288287287287286286286286286287287287287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296293291295999999290293292291291291291290290290290290291291291291291291291291291291291292292292292292292292292291291291290289289289290290290291291291291291290290291291291290291291291291291292292291290294289999999999999286287286290290289286285286286287288287285285285284285286285285285285284284285284285286286286286285284283283284286286288289287290289290289288288288286288286288286285284284286285288286288288287288286286286287287288287287288288285286286286288289286286287287287289289289291292291291290289290291290292291291292292291291290291293293293293294295294294294293293293293293293293293293293292290291291293292291291292288289289291291289291290288288288288288288288287285286286287287288288287288288286289289287287288287286287286285285285286286286285285287285286287288287289290290289289288288288289289289289289289289288289288288288288289289291289290290290290289291289290290290291291290290288289288288288287287288288287286287287288289290290289290290290290290292292293293293294294293291293292293293293292292293293293293292293294294293293292292292292291292292292292292291291292291290290290290290291291291292292291292292292293292294294295294294295295293294294296296296297298299299299298298298298298298298298297297296296297297297297296296297297296297296294294294294295295295295295294294295295295296296297296297297297297297298297297297297297297297297297297298298297299296297297298297297298297296296296296296297297297297296297296296294296295295296295295296296295296295295296296297297297297297297296296296296296296296296296295296296296296296296296296296296295294295295295294294294294295295295295295295295295295295295295295295295296295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294293293293293293293292292292292292292291291292292292292292291291291291292292291291291291291291291291291291291291291290290290290289289289289290289289289289289289289289290290290290290290290290290290290290289289289289289288288288287287287287286286286286286286286286287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292290290999999999290292291290290290290291291291291291291291291291291292292292291292292292292292292292293292291292291291290290290291291291291291291290291290290290290290290291291291291291292293293296291290292999999999287288291290289287285285286286286288288286285284285285285285285284283284285284285285284286286285285284280283285286287287289289290290290289288288288286288287288289288289283284284285286286285286287285284286286286287287287287287286286285288290288287287287289289290287288291290291291290290290291291291290290291291291291291291292292293293294294293294293293294294293294293293293293293291290292291293292292292290291288290292290289290289289288289289288288288286288288287286287288287288288288289288288287287286285286285285285285284285285285285285287288288288289288289290290290289289290289289290290290289289288289288288290289289290290290289289289289289289290290290289290290290290290290289289287288287286286288286287287289289289290289289289290290290290293292293292293294293291292292293293293293293293293294294293293293294295294293292293293293292292292292292292290291291291290290290290290290291290291291292292292292292294294293294294295293294295296295295295296298297298298299298299299297297297297296295298297297297297297297296296296297297297296294295294294294295295294295295293295295295295296296297297298298298298297297297297296296297297296297297298299298298296297297297297296296297296297297296297297297297296297296295296295295295296295296295296296296296295295296297297297296297296297296296296296296296295295295295295296296296296296295295296296296295295295295295295295294295295294294295295295295295295295295295295295295295295295295295295295295294295294294294294294294294294294294294294294294294294294294294294294294294293293293293293292292292292291292291291291292292292291292292292291291291292291291291291291291291291291291291291290290290289289289289289289289289289289289289289289289290290290290290290290290290290289289289289289289288288288287287287287286286286286286286286286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291289999285291291291290290290291291291291292291291291291292292292292292293292292292292292293293292293292292292291291290291291291291291291291290290290290290290290290290291291291291291291292293296296293293294292999999287287291292291285283285285286285287286285285285284286285285285285285285285285285284284285286284287283282284286287288290290290290291291289289289288287288288288286284288286283285284285284283284287286285285285286284286285284286287286286288288288288288290289291292289291290291291291291291291292291291291290290289291291291291292293293293293294294293293294294294293293293292292293293292291291292292293292292292291290292290291292291291291291289291291290290289288289288286287288287287286288287287288285284287286286287286286286286285287285285287286288289289289289290290291290291291291291291290290290290289289289288289288290290290290289289290292291291290291289289289290290290290289289289289287288288287287288288288288289288289288288289290290290290290291291293293293293293293293293293293293293293292293293293294294294294294294294294294294293292292293293293292292292292291291291290290290290291292291291291292292293293293294295295295295295296296297298298296297297298297298298298300297297298296294294295297297297296297297297298297297297297297296295295294295294295295295295295294294295296296296297297297298298297298298298297297298298298298298298297297298295296296296297297296296297297297297297296297297297297297297296296295295295295296296296296296295295295295295296296296296296296297296296296296296296296296295296295295295296296296296296295296296296295295295295295295294294294294294295294295295295295295295295295295295295295295295295295295295295295294295294294294294294294294294294294294294294294294294293293294294294294293293293293292292292292291291291291291291292292292292292292292291291291291291291291291291291291291291291291291290290289289289289289289289289289289289289289289289290290290290290290289289289289289289289289289289288288288287287287287286286286285285285286286286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999295295299295292289290289288289289290290291291291291292291291291292292292292292292293292291292292293293293292292292291292291291291291291291291290290290290290290290290289291291291291291291291291292292292292295296294294293292999999287290288291288284282284286286284285284285285286285285285285285286286285286284285284284285284285283282280283285285288288289290289290290291288288288289287288288286287288288287287287287287287286286285286287286284285285287285287287287285286287287288287287289290291291289289290291292291291291292292291291289291291292291292292293293294294294294295292294294294294294293293293293293292293293291292293293293292290291290288290290289289288289289289288288288287286287287287287287287286287286286286285285287285287285287287286285285286285287287286286287288289289289289289289291291291291290291291290290290289288289289289289289289290290290289290290289290290291291291290290290290290290289289289288286288288288287286287288288288288288288289290290290290290290291291291293293291291292294293293291292292292292293293293294293293294293293293292293293292292293292293292292292292292292291291290290290290291291292292292293294293293294295296296295296296297297298298298297299296299296297298298297297299295294294295296296295294295298298299298297297296296297295296294294294295294294294295295295295294297295296297297298298298297298297298297296296297296296297296297297297297298296295296296297296297297297297296296297297296297297297296296296296296296296295296296296295295295295296296296296296296296296297296296296296296296295296295296296296296296296296295295295295295295295295295295295294294294294295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294293293293293292292292291291292291291291291291292292291291292291291291291291291291291291291291291291291291291290290290290290289289289290289289289289289289289289289289289289289290289289289289289289289289289289289288288288287287287286286286286285285285285286286286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299295999294298297295292291291291290289290291291291291292292292292291291292292293292293292292292291291292293293293292291291291291291291290291291291290290290290290290290290290289291291291291291291291291291292292294293295295295293292999999288291291289286285284284286287287284285285283286284285285284285285286286285285284285284285284282285282281283285289288287288289290289289289289288288289289287287286286285287287284286288287287284285284287287287286287284287284286288285288288289288289287289289290291290292289291291292292292291292291292291292291293292291292292293293293293294294294292294294294293295294295293293293293292290290290291292289288290292291290290290289289289289289288289286287286287287287287287288285287287286286286287286287286287286287287286286286287287288288287287289288289289288291289289291291292292291291292292290291289290289289290290288289289290289289289289290291291290291290289291291291290290289289288288287288288288288287286287287288287287287288289288289290290291291291290292293293292292292291291292292292293292293292293293293293293293293293293294294293293293293293292293292292292293292292291290289290291291292292292292294292293295293294296294297298298297297296297299297298298297298300298298299295294293294296296297296296295295295295297297297297297295295295295295294294293293295295295294295296296296297296297297296297297297296297297296296297296296295297297297296296296295296297296296297298297297297297297296296296297297296296296296297296296296296296296296295295295295295295296295296296296296296296296296296296296296296296296296296296296296296296295295295295295295295295295295295294294294294294295295295295295295295295296295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294293293293293292292292292291292291291291291291291291291291291291291291291291291291291291291291291291291291290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288287287287286286286286285285285285286286286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297299299298295293292291291290289290291291291292292292292292292292292293293293293293292292292291291292293293293292291291291291291290290290290291290290290290290290291291290290290291292291291291291290291291292293295296292294293294288287288290287288287286286285284284285285285285284286284285285284285285286285285284284284283283282285284282280282284287288286287290291290289287287287287287287288287287286284281285286288287287287286287284285287287286287288285287285285287288289288288287289288289289293293292292291291292292292292292292292292291291292292293293292293293293293293294294293293293295293293293293294293293292290290289293291292292291291293291290292289289291289289287288288287286286287287287287287285285287287287286287287288288287286287287286287286287288286289290289288289289290288289289290290291291291292292293291292291290289289290290290288289289289289289291290290289290290290291290290290290291290290289289289288287288287287287285287287287287288287287288288290289291290290293293291293293292292291291291291290291292292293292292294293294293294293294294293294294293293293292292293293293292293293293292291291289291291292293293292293293293294294294293295296298296297297298299298299299299299297299300299299298296297294294295297296296295296295297297297297298298295295295295295296296295293296295294295295295296296296295295297297296296296297297296297296297296297297296296296295297296296296297298295297297298297297297297296297296297297297296296295296296295296296296296296296295295295294295296295295296295296296295296296296297297297297296296296296296297296296296295295295294295295296295295295294294295294294295295295295295295295296296295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294293293294294294294293293293293292292292291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290289290289289289289289289289289288288289289289289289289289289289289289289289289289289289289288288288288288287287287286286286286285285285285285286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301300299300300298295293292290290290290290291291292292292293292292293293293293293293293293292292292291291290291292292292291291291291290290290290290290290290290290290289290290290290290291291291292291291290290290291292294295294296295294293291291290289287287287286286283286285286285283282285286286284285285284285285286284285283284283282284284284282281280285286288286287287288290288287288289288287285288284288285284283284284287287287286286286287287286285286286287287287287287288288288287288290291292291291290291290293292291292292292292293292292292291293291292293293293294295292294293295293293292292293295295295294293293293293293292293293293292292293290291291290290291290290291289289290287287287287287288288287286285284287287286285286286287288286287287287288287288288289287288288289289290290289291291290291291292292292292292293292292292291290290290290290290289290290290291290290291291290290290290291291291290290290290289289288289287288288288287289289287287287290287289289288289290291292293294293293292294292293292291291291291291292292292292292293294294294293293294294294294294294294294293293293294294294292293293292292292291291292292292293293294295294295295295295296297297297298297297297297298298299298298297298299298297296297294294293296296296295295296295296298297297296296295295296296295294294294294294295296296295295296296295296296298297296298298297297298297296296296297296297296296296296296297298298298298298296297298298297297297296296297297296296297296296296294295296296295295295295295295296296296296295295295295295295296297297297297297296297296296296296296295295295295295295295295295295295295295294294294294294295295295295295295295296295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294293294294293293293293293292292292292292291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290289289289289289289289289288288288289289289289289289289289289289289289289289288288288288288288288288287287287287286286286286286285285285286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999300300999999304303302300300300300299298295294292291290290290290291292292292293293293293293293293293292293293293293292292291291290290290291291291291291290290290289290290290290290290290289289289290289289290290290291291291291291291290291292292293294295293293293292293290290287287287287285285285286285286282284285286286287287284285285286284285285285285284283283282284285285284284284285289288289288288289289288289289288288287286286286286286282283286287287287287287286287286285286288288288287287287287288289289289290291291289291291292291290289291291291291292292291292291292292290291292293294294294293292293292294294294292293293294293295292292293292292291290293292294293292292293289291289290292291291292291290290285288288287287287288286286284285285286286285285286285285286287287287287288288289289289289288290290290288290291292291292291291292291291291292292292291290290290290290289290290289290289290289291289289290291291291290291291290290290290289289289288287288288287288289289288289290289288289289290289290291293293294294294294293293293293290292291290290290291291292293293293293294293293294294294294293293294293293293293293293292292292292293292292291292292292291293293295294295295296295296295295297297297296298297298299298298298295296299298296297297297295294294296295295294295295297296297296296297295296294295294295295295295295293294294294295296295296295295296296297296296298297297297296297296295297297297296297297296296297297297298298297295297297298297297297297296297297296297296296296295295295295295295295294295295295296296296296296295295295296296296296297297297297296296296296296296296295295295295296295295295295295295295295294294294294294294295295295295295296296295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294293294294293293293293292292292292291291291291291291291290291291291291291291291291291291291291291291290290290290290290290290290290289289289289289289288288288289289289289289289289289289289288289289288288288288288288288288288288288287287287287286286286285285285285285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999304302999301999999999999999999300999999999999999999999999999999999999999999999999999999999999999294297302300299300300300302298999300300298297295293292292291290291291291292292293293293293293293293294293293293293293293292292292291290290290290290290290290290289290289289290290291290290289290289289289289289290289290290291291291291291291291291292292293292292293293291292290291289287285287287285286284285286284285286286286287287285285286285285286286285286285284284284283285284283284285285286287287286288290289289289288288288288288287286285287283284285286287287287287287287286287285288288285287289288288289290287289291290290290290290290291290289289291290289291291292292291292292293291292293293294294292293291292291292293294293294292296295294293292292294294289289294294294294293293293293292288289291291291288289289288286287287287287287287287285284284285285285283284284285285286286287288288288288289291290287289290290288289290292291291291292292293292292292292292292290290290289289290290291289290289289288288290291291290291292290290290290290290290290289289289288288288287288289288287289289288288289289288288290290290291292293294294293291291293291291291291290291290290291291292292293293293293293293293294294293293294293294294294294294293293294294292292292292292292292292291294295295295295295295296295295296296295295298299299299299297297297297297295297298296296295295295295295295295294295297297298296296297297296295294294294294294294295294294294293294296297297295296296296296295296296297297296297295297296298296296296296296296296297297297297297298298297297298296297297296296297296296296296295295295295294295295294294294294295295295295295295296296295295296296296296296297296296296296296296296296296296295295295295295295295295295295295294294294294294294295295295295294294295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294293293293292292292292292292291291291291291290290290291291291291291291291291291291291291291290290290290290290290290290289289289289289289288288288288289289289289289289289289289288288288288288288288288288288288288288288288287287287286286286286286286285285285285286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303303304305305305303304303301999999999999300999999999999999999999999999999999999999999999999999999999297295296297297297298299299299299299299298297295294292292292291291292292292292293293294294294294293293294293293293293292292290291291291291290290290290290290290290289289289289290291291290290290290290290289290290290290290290290291291291292292292291291292293292292291292291290289288288286286286286286286286286286286285286287287287288287286286286287286286285286286285285284283283285285285286283288285285286286287289289288288287287288288288287286287285284283286287286288289287287287286287288288287288288289288288289289289288287291290290290291292291291288289290290291291291291290291292291291291293294294291292291292292293292292293292293294295294294292293293294291289291292294293293292293293293294291291289290288290290289288287287286286287287288287284286284285285285284282286288287286286287289290290291291290290290291291291292292293292292292293292292293293293293292292292290290290289290290290291291290289291289290290291290289291290290291291290290290290290290290289289287288288288288288288289288288288288288289289290289289291292293293293294293293291292291290290290290290291291291291291292293294294293294293294293294294294294294295294295295295295294294293293291292292292292292293294295296297296296296296297296296297296298298298298299299299295296298295296296297295295295294295296296294294294295296297297296296297297296296294293294292294294295294294294296296296296296295296295296295295296297297296296298296296297296296297296297296298297296297296297297298298297297296296297297296296296296296296296296296295295295295295294294293294294295295294295295295296296296296296296296295297297297296296296296296296296296295295295296296295295295296295295295294294294294295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294293293293293292292292292292292291291291291290290290290290290291291291291291291291291291290290290290290290290289289289290289289289289289288288288288288289289289289289288289288288289288288288288288288288289288288288288288287287287287286286286286286286286285285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307304304304303304305306306305304304304999999304301300299296297999999999999999999999999999999999303302303300298298297295296296297298299299299299298297296296295295294292292291292292293292293293294294294294294294294294294293293293293292292291291290290290290290290289289289289288289289289290291291291290290290290290290290291291291291291291290291291291291291291291291291291291291290290290287286287286286285285284285285285285286286286287287287288289289288288287286287285284286286286284284284285285285285286287287286288287288287287289288288288288289290288287286286285285285287287287287288287287287288288288289287289288287286288289289289291291291289293292291290290289290290289288289289289290289290290291291291294294293294290291292292293292292293293294294294294293293292293293292292293291294293293293292292292291291290290290291290289289289288287287286285285284283283285283284283284283282285286286286288287288289291290290287288288290290291291291291291293292292292291292292292292292291291291291290289290290289290289290290289289289289289289290290289291292290291289289289289290290288289288287287288287288288288288288288288288289289290290289289290290291291291292291291291291290290290290291290291291291291292292292293293293293294293294294294294293294294294294296293294294293294292293293293293292292294293295295296296296298297295295296296296295297298298299297296296296295296295297296295296296294294294294294294295296296297295294295296297295293292294294294294294294294294295296296295294295294294295295295295297298297296296296294296296296295296296296298298297297297297298298298297297296296296296296295295295296295295295295295295295294294295294293294294295295294295295295296296295296296296296296297297297296296296296296296296296295295295296295295295295295295295294294294294295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294293293293293292292292292292291291291291290290290290290290290290291290291291291291291290290290290290290290289290289289289289289289289288288288288288288289289289288288288288288288288288288288288288288288288288288288288288288287287287287286286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307307305304305304304305306306306304303304304304304302301300299297297999999999999999999999999305303301301300300300299298297296296296297298298298298297296296295295294293293292292293293293294293294294294294294294294294294294293293293293292292291291290290289289289290290289288289289290290289291291291291291290290290289290291290291290291291291291291291291291290290290289291290291292291290287288287287287286286285285286286286285285285285286287287288288288289288288287287287286286285285285285284284284283285285286285284287289288287286288287289289289288289289288288287285284287286285287287287287287287287287287287289287287287288286286289288290289290288289289290293290288290291291290289289290289289290292290290290290292293291293294294293292292292293294293293294295294292292293293291293293289293293293292293289291292291292290290289288288289289288287288285284285284285283282283284285283283284284284285285287286288289290291290289289290291290289290291292292293293293291293291291292293292291291290290289290289290290290289290290290289289289292290291290289290291289290290290289290290290289289289288287287287288288288288288288288288288288289290290289287288291290290291291290291291290290289289290290290290291291291292292292292292293294294293294293294294294294294295294294296294294294294294293292293294294293294293294296296297297297296294295293295295295296297298297297296297296296296296296295296295294293294294294293294294295295294295294296294296295295294292293295295294295295294295296295295295294294295296295295296297297297297296296293295296296296296296296297297296297297298298298298296297297296297297296296295296295295295295295295295294294295295295294294295295296295295295295295295295295296297297297297297297296296295296295296296296295296295295296295296295295295295295295295295294294295295295295295295295295295295295295295295295295295294295295295294294294294294294293293294294294294294294294294294294294294294293294293293293293292292292292292292291291291291291290290290290290290290290291291291291291291290290290290290290290289289289289289289289289288288288288288288288288288288288288288288288288288288288288288289288288288288288288288288288288287287287287286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305303303303305305305307307305304305304304304303303304304302301296999999999999999999999999305304301301300299300300299299298297296296296296297297297296296296295295293292292292293294294294294294294294294294294294294294293293293293293293293292291291290290289289289289289288288288289290290291291291292292291291291290290291291291290291291291292292292291291291291291290290291291291292291289288288287287288286286286285285286285285284284285286287287288288288289290289289288288288285286288285285286284284283286285287287288288289286290287289289288288289288288289287286286287288288286287287286288288288288288288287287287287290288288287287287288290290291289290288292291292289289292291289289289290289290290292292294292293292292293293294294293293293294294293294294294295294292292293293293293293292291290291292292291292292291292292291291290291288289287287286284284284284283283282286285282282283284285285285286287288288289291292292290291291292290290292294294294293292293293292292291291291290290291290291290290289290288290290290290290289289290289290289289290290291291290290290289289290290289289288288287287287287287288288288288287288288288288289288290290289290291291291292291290290291290289290291291290290291291291291292292293293292294294294294294294294293294294294293295295295295294294293293293293294294293294295295296296296297296296296295294295296295296296296297296297295296296296296296295296295295295295294295295294294294295295295296295294295295295292292292293293292293293294293295295295294294294295294295295297297297297297296296296295295296296296297297296296295296297298298298296297297297297297297296296295296295296295295295295295295295295295296295294294295295295295295294295296296295296296296296296296297296295295295295295295296295296295295296295296296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294293293294294294294294294294294294294294294294293293293293292292292292292291291291291291290290290290290290290290291291291291291291290290290290290290290290289289289289289289289288288288288288288288288289289288288288288288288288288289288288288288288288288288288288288288288288287287287287286286286286286285285285285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304304304303303304304305304304304305304304304304306305304303300999999999999999999999300999303301300300300300299300299299298297296296295296296296296295295295295295294293292293294294294295295294294294294294294294294293293293293294293293293292291291290290290289289289288288287287288290291291291292292291291291291291291291292292292291291291292292291291290291290290290290290290290290288289287288288287287286286284285285286286285282283284286287287288288288289289289289288288286287283287288284286288286285286286286286288287288289286288289292289288289287289289290288287288288289289287287287289288290289288289289288289289288291288288288289290290289291291290292291290291291290288290289289289291291290291291291292291292292292292292293293293294293294293294293294294295294293293293294293293292291292292292292292290292289291292292292292291290289290288287286287286285285284286285284285284283285285285286286286289289289290290291292294294294293292293293293294295293292292293292291291292291291291291291291291290289290289290290290290290290290291289289289291290289290290291291291290289291290288289288288287288287288287287288288288288288288289289289289290290290291292292291289290290292290290289290290291291291291290291291292292293293293293293294294295294294293294293294294294294296295295294293293294294295294294295295295296296297297297296297296296295296297296297297297296296297297297297296296297297297297296296295296296294294296295294294296295295294295294293293293293294294293294295294294293295295295295294294294296297297297298297296296296296295296296297295296296297297297297298298297297296297296297297297296296296296295296295295295295295294295295295296295294295295296296295294296296296296296297296296296296296295295296295295295295295295295296295296296296296296295295295295295295295295295295295295295295295295295296296295295295295295295295295295295295295294294294294294294294294293293294294294294294294294294294294294293293293293293292292292292292291291291291291291290290290290290290291291291291291291291291290290290289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288287287287287286286286286286286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306304304304304304304304305304304304304304304305304305305305302300999999999999999999999999300301300300301299299299299298298297297297296296295296296296296296295295294294294294294294294294294294294294294294294294294293293293294294294294293292292292291290290290290289289288288287288289290291291292292292291292291292291291291292292292292292292292292291291290291290290290290291291289290289288288288288287286286286286286286285287284282283284286287287288286289289289289289287288288288285285288285285284285285285285285288288289285286288287289291288290289287289289289289289290290288288286287287287288290289289289289289288289288288289289290289288290291291291289292292290292290289287289290288290291290290290290291293293293292292292293293293293293293293293293293294294294293293293293292293294291290292292292292291290289291292292293292292292291289290287287286286288286287287286284283284285286285285286287287286288290291290290291294292293293292293292292293292294292292293293290292291291291290291290290291291290291289290289290290290290291289289289289290289290289291290291291290290290288288289288288287288286287287287288288287287288288288289289290288291288289289290290290290290290290290291290290290290290291290290291292292292292293293293293293293294294294293294292293294294295296293294294293294294295295294294295295295295295296297296296296296296296294297296297297297297296296296297297297296296297296295295295296295295295294295294293293295295294294293294292293294294294294293294295295295295295295295294295295296296297297297298297296297296296296296296296297296296297296296297297297297298298298298298297298296296296296296295296296295295296294294294295295295295294295295294295296296295295296296297296296296296295296295296295295295295295295295295296295295296296296295295296295295295295295296295295295295295295296296296296295295295295295295295295294295295294294294294294294294294294293293294294294294294294294294294294294293293293292292292292292292291291291291291291291291291290290291291291291291290290290290290290290290289289289289289289289289288288288288288288288289288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287286286286286286285285285285285284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999310307307306305304304304305305305305305304304304304304305305305305303301299999999999999999294300301300300300300299299299299299298297297297297296296296296296297296296295295294294294294294295295294294294294293293293293293293293294294294294294294293292292292291290290290290289288288288287287289291291291292291292292292291291291292291292292292291292291292292291291291292290290289290290291290290289288288288288287286286286286287286286286285284283284285287287287288288288288288288288289288287285285286285286285284285286285286287286287287287288287289289287290289289289288289290290288289289289288288287288289289289289289289288288289289288289289290289289290289290290291291290290290289290289288290289289289289290289290290292292292291292293293294294294293293292293293294294295294294294294293292293293293292293293293292291292291292291293293293292292292291290289289288287287288287286286287287287287287286286287287288289290289292290291292294293295292293293292292292293293292293292292291291291291290291291290291291291290290290290289289289290291291291290290290291288290290290291291291290291290291289289288288288287287287288288288287287288287288288289289290289290290287291291289289289289289290290290290290290291292291291291292291292292292293293294294293295294294294294293294294294295293295294293293296294295295295294295295296295296295297297296296297298298299299298298297297298298298298298297297298297297297297296297296296296296295295296297296296295296294294294294294294295295295295294294294295294293294295295297296297296296296297298298296296295297297296296297297297297297296296298297297296297297298297297297297298297295296296296295296295296295295294294295295295296294294294295294296296295296295296295295296296295295295296295295295295295295295295295296296296295296296296296296296295295295296296296295295295295295296296296296295295295295295295295295294295295295295294294294294294294294294293293293293293293293294293293293293293293293293292292292292291291291291291291291291291290290290290290290290290290290290290289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288287288288288288288288288287287287287287287286287286286286286285285285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306307310309308308305306307305306308306306306306305305305304304305305305303301300299999999999999999295299299298298301300300300301300299298297297297297297297297297297296296296295295295294295295295294294294294294294293294293294294294294294294294294294294293292292292291291290290290289289288288287287287290291291292292293292292292292292293292291291291291292291291291292292292291291291290290290290291288290289287288287287285285285285286286287285285283282284286286287287287287288288289288288288287289286286286284285287287287286286287286288289290287288288288288288289289288287287288288290289289289289289288288287288288289289289291290289288288290290289288289290291290290291291288288290291291290289288290289289289290289291290290292293292292292293293293294293292293294293294293295295294294293292293295292292292292291292293292290292290292292292293293291292292291289290289289287287287288287286288289288289288288288288289290290291291291292294293293292294293293293292292293293292291291292291290292291291291289289289291288290290290289290289289290290290290291291291289291290290291291291292291290290289290290289289288287287286287288288288288288288287287288289289289289290290289290291291289289288289289290290291291291291291291291291291291292292292293293294293293293293294292294294295294293295295294293293294294294294294295295294295296295295296296296297297296296296297298297297297297297297298298297296296296296296296296296297296296296296296295295295295295294294295294293294294294295296295296295296295296295296296295297295295297298297297297297296297297296297296296297296296296296296298297297296296296298296296297297296297298297296296296296295296295295295294295294294294294294295294295295296296295296295295295296295296296295295295295294295295295295295295296296296296296295295295296295295295295295295296295296296295295295296295296296295295295295294294294294294294294295295295294294294293294293294293293293293293293293293293293293293293293292292292292292291291291291290290290290290290291291290290290290290290290290290290289289289289289289289288288289289289288288288288288288288288288288288288288288288288288288288287288288288287287287288288288288288288288288288287287287287287287287286286285285285284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301307308308309309308307306308308307307307308308308307307306306304304305305305304302300298295999999999999999999302300299301301301301300300298298298298298298298297297297297296296295295295295295295294294294294294294294293294294294294294294294294294294294293293292292292291291291290290290290289289288287290291289291291292292293292292292292293293292292292291291292291291291293292292291292291291290290291291290289288286288287286286285286287287287287286286284285284286286286287287288287287288288287287288288288287286287285286287287285285286288287289288288287288289289289289290290289289291291290290290289290290288291289289288289288289290291290288288290288289289289291289292289288291290289291291290288289288289289289290289289289290290291291292293292293293293293292293293293294294294294294294294293293294295292292293292291294293293292293291292292290293293292291292292292290291291289288288287288288289289290290290289290289290292292293293292291293295293293294293293293292292293292293293292291291290290290291291290290290291291288289290289291289291291290291291290290290289289290290290289289289289289290290290290290289289288287288288287287287287288287288288288289289288289289289290289290291289288288288290289289291290291291291290291291291291291292292294292293293293293293292293292293294295294295295295294294294294294294294295295294294295296296297296297297296296296296296298297297298299300298298297297296296296297297295296296296297297296295296296295295296297296294294294294293293293294295295295295295293296296296295296296295296296296295297297298298297297297297296297298297297298299298298297297296296296296297296296296296296297296296295296296296296295295294294295294295295294295295295295295294296296295295295294295295295295293293295295294295295295295295295295296295295295295294294295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294295294294294293293293293293293293293293293293293293293293293293293293292292292292291291291291291291291291291291290290291291290290290290290290290289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288287287288288288288288288288288288288288288288288288288287287287287287286285285284284284284284285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308309309309307309309309309308308308308308306308308308306306304304304303304304303302301297296999999999999999295304301299300300300300300300298298298297298298298297297296296295295295295295295295295294294294294294294294294294294294294294294294294294293293293293292292291291291291290290290290290289289288292293290292292292292292293292294293294294293292292291292292291291291292291291291291291291290290290290290288288288286286288286285285287286287286286285285284285285285286286287287286287286286286287286287287287287285284288287286286285287286286287288287286286289286289290290290289289290290291290290290290289288290290290288288288291290290289288288288288288290288289289290291290291288291288289290288289289289289289288289289289289290291291293292291291293293293293292292293292293293293294295294293294294294291293292292290292291292292292292292292290292293292292291290291291289290289288289290289288289289290291289291291291292293293292292294293295294292292291292292293293292293292293292291289290290291291290290291292288288290289290289288290291291291290290291291290291291289289288288288291290289290290288288289290290288288288288287286287288289288289288288288289289289289289289290289290290290291288289290290290291291291292292291291290290291291291292292292292293293293295293293294294294294295294293295294294295295294294294295295294294294296296297297296296297297297296296298298298298299299299298298298297297297297298297297298297298298298297297297298298298298297297297293294295293295295295294293294295294296295297295296296296297296296297297297296297297297296297296296297297298298299298297296296296295295295295295296296296296296296295295295296295295295294294293295294295295294294294295295295295296295295294295293294294293294294294294294294295295295295295295295295296295295296295295295295295295295295295295295295295295295295295295295294294294294294293293294294294294294294294294294294293293293293293293292292292292292292293292292293292293292292292292291291291291291291291291291291291291291291291291290290290290290290289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288287288288288288288288288288288288288288288288288287287287287287287286285285285284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309308305307308307308308308308308308308308307307308308307305306304304304303302303302302301297294999999999999999999999300297297298299299299299298298298298298297297297296296296296296296296295295295294294294294294294295295295294294294294294294294294293293293293292290292291291291291291291291291291290290290290291291292292293292294294294294294293293292292292292291292292291291291291291291290290290290289289289289290288287287285286287286284286286286286286284285284283284285286287287286287287287287286286285285285287287286284285284284286285287284288287288288286286287287287288289289289289289290290290290288288289289289289289289289287288289291289290290288290288288291289289289290290289290290289290289288290288289289288288289289289289290291292291291292291292292293293292292291292293293293294294294293293294293292291293293291293292291291292292291292291291293293292291291290291290290289289291291290290290290290292291292293293293293293293293294294293293292291292293290293293293291294292291292292290289290290291291291291290290291290289289288291292291291290289291291290291291290289290290289290289290290287289288289289290288287287287287288288288288289289289289289289289290290290290290290291291290291290290290290290289289291291291290290290291291291291291291291292292293294294294294293294294294295296294293293293293294294294295294295295296296296296296296297296296297297297297298298299300300298298298297298298296297297298298298298298298297298296297298297299297297296295294294294294294294293292293293292295295295294295296297296296296297297296297296296297297296297297297297296297297298298299297297296296295295294295295295296296296296296295295295295295295296295295294295295295295295295295295295295295296295294293295295294294294294294294294294294295295295295295295295295295296295296295295295295295295295295295295295295295295295295295295295294294294294294293293293293294294294294294294294294293293293293293292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291290290290291291291290290290289289289289289288289288288288288288288288288288288288288288288288288288288288288288288288288288287287287287288287288288288288288288288288288288288287287287286286286286285285284284285284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309307306306307307308307308308308308307307307307307307306306306305305304302301300300299298296294293294999999999999999297296294296297298298298298298298298297297297296296296296296296296295295294294294294294294294295295294294294294293294294293293293293293292292292292291291290291291291292291291291291291291291292292292293293294294294295295294293292292292292292291292292292292291291291291290290290289289289290289290289287287288286285285286284286286286286285285283282285286286287287287287286286285286286285285286287287287285284284285287286286284287287288287288287288288287287288289289289289289290290290289288291289289288287288289290287288291290290290290288288290289290288290290290289291288291290290290290289289289289289289289290289289290290291291292293293293293293292293291293293293292293292294293292293293292292292291291293291291291291292291292292293292292292292292290291291291290290291290291292291292292293293293294294293294293293293293295295294293294293292293292293293291292292291291292290290289290291291291292291291289291290290290290291290291292291290290289290289287288289289288288289288290289288289289289289289288288287287287288288288288289289289289290291290290291289290291290291290290291290289291290289289290290290289291290290290290289290291291291292293293293293293293295294294294293294293294294293294294295294294295297296295296297296297296296296297298298297299299299299300300299298299299298298297297297297298298298298298298297297297297298297296296295295295295294295294294294294294294295296295295294295296295296297298297297296297297297297297297297296297298298298298298298297296296296297295294295296296296297296296296296296296296296296295295295295295295295295295295295295295294294294295295294294294294294294294294294294294294295295295295295295295294295295295296296295295295295295295295295295295295295295295295295295295294294294294294293294294294294294294294293294294293293293293292292292292292292292292292292292292292292292292292292291292291291291291291291291291291291291291291291291290290290290290289289289289289289288288288288288288288288288288287288288287288288288288288288288288288288288288288288288287287287288288288288288288288288288288288287288287287287287287286285285285284284284284283284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310309307308307307307307307307307306305306306307307306305306306305305304302300299298297296294293291999999999999999293295293293293295297297296296296297297297297297297297296296296296295294294294294294294294294294294294294294294294293293293293293293293293292292292292291291291291291290291292291291291292292293293293293293293294294294295295294293293293293293292292292292293292292291291291291291290290290289291289290289288288287286286286286285286286286286286285283285285285285287287287285286285285286284286286285285285284284283284285284284285286287286288287287286285286286287287286286287288289289290289288286287289288287288289286287291290290290289291289290291292291290290292290292291290291291290290290290289288288289289290289290289290289290291290291293292292292292291291292292292292292292294294293290292291290293290291290290290290291292293293292293294294293293293291291291290291290292291290292292292293292293294294292292292294294294293295296294295292292293293293293294292292291293292293292289290289290290291291290291291290289288290290290291290291291290290289289288288288287289287289289289289288289288288288290288289289289287288287288287288288289289289289290291291291290289289291290290290291290289289289289289289290289289290290290291290290290291291291292291293293294294294293294294294294294294294294294293293294294293294295296295295295296297296297297297297297297298298299299299300299299299298299298297298298298298298297297297297297297296297296296297296295296296296295294295295294294295295296296295295294294295296296296296297296296297297296297297296297296297296297297298297299297297296295296297295294295297296296296296296296296296296296296296296295295295294295295295295295294294295295294294294295294294294294294294294294294294294294295294295295295295295294294295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294293294294293293294293293293293292292292292292292291291291292292292291291292292292292292291291291291291291291291291291291291291291291291291291290290290290289289289289288288288288288288288288288287287287288288287288288288288288288288288288288288288288288288288288288288288288288288288289289288288288288288288288288287287286286285285285284284284283284283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308311309308308308308307306306306305305304305306307307306306306306305305304302300298297297295293291291291292999286290291291291291292295296296296296295296297297297297297297296295295295294294293294294294294294294294294294293293293293293293293293293293293292292292292292292292292292291291291292291291292292292293293293293294293293294294294294294294293293293294292292292292293292292292292292292291291291290290289289290289288288289287286286286286285286286286286285285286286285285287287286286285286284284285285284285284284282283282283282285283284286287287287287287286286286284287287286287288286286287287287287285286288286286287288288286286289290290290288290290290291289288292292290291292291288290289289290290288289288290290289288289290289291291291290292293292292292291292292291292292291292292294293292291292291291290291289289290291290291293290293293293292292294292292290290291291289291290290292292292291292292293293294293292292294294294296295295294294293292293293293293293292293292293293292292291291290288290290291290290291291289289288289288289290289288289291290289288288289288287288289288286288288287287289287287287288288288288288288288288288289289289289290290292290291291290290289290291291291291291289289289290291291290290290290290291290290290291292292292293294294295294294294294294294293295294295294295294293294294294292294297295295295295296296297297297296297297298297299299299299299299298297298297298298298297297298297296297296295295295297297296295295295296296295294295294295295295295296296296296295294294295296295296297297296296297297296297298296296297297297298297297297299297298298296297297297296295296296296297296296296297297296296297296297295295295295295294294294294295295294294294295295295294294294294294294294294293294294294295295294295295295295294294295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294293294293293293293293293292292292292292292292291291291291291291291291291291292292292292292291292291291291291291291291291291291291291291291291291290290289289289289288288288288288288288288288288288288288288288288288288288289289289289288288288288288288288288288288288288289288289288289289289288288288288288288287287286286286285285285284284284284283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307308310310309308308308307307306305304304304304305305307307307307306305305304303302299296296295294292290289289289288285289290290290290291294295295295295295296297297297296296296296295294294294294294294294294294294294294293293293292292293293293292293293292292292292292293292292292292292291291291292291291292292292292293293293293293293293294293294294294294293293294293292292292293292292292292292292291291291290290291290290289290289289288286287287286285286286286286286286284285285284287287285286285286285284285285284284283283282281284285285285284282283287287288287287286286285286287287286287286287286286287288286286287288286286286285288286288289289289290289291291290291292292292289290290290289291289289289290289288289289289290289289290291290291290291291292292293293291292292294291290293293293293293292293292291290290291291291291291292291292291292291292294294293293292290291291290292291290291290292291291291291293293293294292292291292294292295295292292292292292291292293292293293292293292293292291290291292289291292291291290290292290290289288287288289289289290290290289289288288289289288287287286287287288287289287288287287287287287288288287288288289289289290290291291291291292291291290290291291292292291291292292290290290289289290291292291291291291291292292293293294294294295294294294294294294294294295294295295294292294294293294296294295296295296295296296297297297297297297299299298298299299299298299299299299297297298296297297297296295296296296296297296295295295295294295296296296295294296296296297297296296295295296296297296297297297297297297298298297298297297297297297297298299299297297296297297297296296296297297296297296296297297297296296296296295294294295294295295294295295295295295294295295295294294294294294293294293293294294294294294294295295294295294294295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294293293293293293293293292292292292292292292292292291291291291291291291292292292292292292292292292292292292292291292292292292291292291291291291291291290290290289289289288288288288288288288288288288287288288288288288288289289289289289289289289288288288288288289288289288288289289288288289288288288288288287287287287286286286285286285285285284284285284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308308308309308308308307307307307305304304304304304305306306306306306306305304303302302301298296294292291290290289288289286292293295999293293293293294294295295296297297297296296295295294294294294293294294294294294294293293293293293292293293293293293293292292292292292292292293292292292292292291291292292291290292293293293293293293293293294294294295294295294294294294293292292292292292292292292292291292292291291290290290290289289289288287288287287287286286286287286286285285286286286286286285286286286285285285285284283283283283283283284284285284284284285286285286286286286286286286287287287287287287287287288288287286286287285286285287287288289289290290290290290291290290290290290290290290290290290290289289289289289289289289289289290290290291291291292291292292292291291291291291290292292292293292292293292292292290290290291291291292292292290292294293292293293293292292292291291291290289290291291291291292292293293293293293293293293293292292293293292292292293291293292293293292292292293293292292292291291290291290291290290289290290290289289289289290289289289288289289288288289288288288286287290287287288287288289288287288287288287288287287288288289289289291291291291290289291291291291290290291291292291292291291291291291290290291291291291291291291292292293293294294294294294294294294294294294294295295294295295294294294294294294296295295295295294296295297297298298297296298299299298298299299299299299299299298297297297298298297296296296296296295295295296295295296296294295297297296295294294295296297297295296294296296296297297298298297297297297297297297297298297297297297297297298298298297296297297297296296296297297296296296296296296296295295296296294294294294294294295295294294295295294295295295295294294294293294293293293294294294294294294294294294295295294294295295295295295295295295295295295295295295295295295295295295295295294295294295295294294294294294294293294293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291290290289289289289288288288288288288288287287287287287287288288288288288289289289289289289289289289289289288289288288288289289289289289289289288288288288288287287287287287286286285286285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306308308308307307308307307307307306305304304303304304304305305305305305305304303302301301300297297295293999999999290999999999999999999999999999291291293294295295296296296296296295295294294295294294294294294294294294293293293293293293293293293293293293293293293292293293292292292292292292292291291291291292292292292293293293293293293294294294294294294295296295294293294293292293293292292292292292292292292292292291291291289289289289289289289289288289288287287286286286287286286286286286285285286286286286285285285284284283282283282283283283283283284284284284284286285286286286286286286286287287287287287287287288287287286286286286285286286287288289288288289289289289290290290290290290290291290290289290289289289290289290289289290289288289290290291291291291291292292292292291291291290291291292292292292291291293292292292290289290291290291291291292291292292293293293293292292292291290291290290290290292291291292292293293293294294294293294293293293292292292293292292292293293293293294294293294294293293293293292291291291290291290291290290290290290291290290289290290289289289288288288288287287287287287287288290288288288288288287288287288287287287288289289290290291291292291291291291291291292291291292292292292292292291291291290290290291291291291291290290291292292293293293293294294294294294293293297295295294295294295295294293293294294295295295295295296295296297297297297297298298298298297298298298299299299299299297297297297297297296296296295296295294295295295295293294295295295295296295293294294294296295296296296295296297297297296297297297297297297297296297297297296297296298297298298299298297297297296296296296297297297297296296296296296296295296296296294294294294294294295294294295294294294295295295295294295294294294294293294294294294294294294295295295295295294294295295295296295295295296295295295295295295295295295295295295295294295295294295295294294294294294293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292291292292292292292292292292292292292292291291291291291291290290290289289288288288288288288288287287287287287287288288288288288289289289289289289289289289289289289289289288288289289289289289289288288288288288287287287287287287286286286286286286285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307308309308307307307307307307307306306305304303303303303303303304305305305305303303301301300296999999297999999999999999999999999999999999999999999999291292294295296296296296296296295295295295295294294294294294293293293293293293293293293293293294293294294293293293293293293292292292292292291291291291291291292292293293293293293294293294294295295295295295295295295295294294294294293293292292293292293292293292292292292292291290291289289289290290289289289288288288287287287287286287287286287287286287287286286286286285284284283283283283283284284284284284284283284284285286286286286287287286286286286287287288287287287287285286286285287286285286287288288288288289289289289290290290290290290290290290290289289289289289289290289289289290289289290289289290290291291291292291291291291291291292291291291292293291291292291292292291290290290291291291291291291291291291292292292292292292290290290290290291290293294292292292292293293293294294293293294293294294293294295294293292293292292293294295295295295295294295295295294292292292291291292293290290290290290290290290290289289289289288288288288288287288288287288288288289290288288288288287287287287287287287288289289290291291291292291292292291292292292292292292291291292292291291292291291290292291292291291290290291291292292293293293293292294294294293293293294295295295294294295294294295293295293294295295295295295294295296297296297297297298298298297298298299298299299298298298298298297297297296296295296296296295295294294294294293293295295295295295294295295295296296297296296295296296296296297296297297298297297297296297296296297296297297297298299298298297296297297297296297297298298296296296296296296295295295295295295294294294294295295294295295295295295295295295294294295294294294294294294294294294294294295295295295294295295295295296296296295295295295295295295295295295295295295295295295295294294294294295294294294294294294293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292291292292292292292292292292292292292292291291291291291290290290290290289289288288288288288287287287287287287287287288288288288288288289289289289289289289289289288288289288289288289289289289289289289288288288288287287287287287287287286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305307308309307307306306306306306305305305304303302302302301301301302303304304302302301300299299296999999999999999999999999999999999999999999999999999999291292295295296296296296296295295295295295295294294294294294293293293293293292292292293293293293294294294294294294293293292291292291292291291291291291291291292292293293293293294294294294294294294294295295294295295295295294294294294293293293293293293292293293293293292292291290291291290289289290289289289288288287287287286286286286287287287287287287287287286287286285284283283283283283283284284284284284285283284285285285287287287287287286286286287287287288288287288287286286285286286286285289289288289289288289289290290291291291291291291291290290290289290290290289290290289290289289289289289290290290290290291291291291291291291290290290290290291291293293292293291291291290291291290290291291291291291291292293292291291291291291291291291291291293292292294293294292292294292294293293293292292293293293294294294293293292292292293295295295297295296296296295295296295293291291291292291291291292291291290290290290290289289289290289289289289288287288288288289289288288288288288288288288289287287287287288288290291291291292292291292292292291293292292293292291291291292293292291291291291290292292292291291291291291291291293293294294294293294294294294293293294294295295294294294295296296294295295294294295296295296296296297297297297297299298298297298298298299299299299298298298298298298297297296296296296296295295295294294294294293295295294294295296294295296297296297296295296297296296297297297297297297297297297297297297297296297297297298298299298297297297297298297297297298298298297297297296296296295295295295295295294294294293294293294295295295295296296295295295295294294293294294294294294294294294294295294295295294294295295295295295296296295295295295295295295295295295295295295295295295295294295295295294294294294294294294294293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292291291292292292292292292291291291292291291291291291291290290290290290289289289288288288288287287287287287287287287288288288288288288288289289289289289289289288288288289289289289289289289288289288288288288288287288287287288287287286286286287286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306307308307306306306306305305305304304303303302302301301300299299301302302302301301299298298298298999999999999999999999999999999999999999999999999999999292293295296296296296295295295295295295295295295294294293293293293293293293292292292292293293293293293294293293293293293292292292292291291291291291291291292292292293293293293294294294294294294294294294294294295295295295294294294293293293294293293293293293293293293293292291291290290290290289289289289289288288288287286286286286285286287287287287287287287286286285285284283284284284284284285285284285284284284285285287287287287286287286286286286286287288288287287287287288286287286287285286289289289289289289291290290289291291291291291291291290290290291290290290290290290290290290290290290290291291290290291291291290291291290290290290291291291291293293292292292290292291290291291291290289289291291292292292292292291292291291291292292294295293293294294294295294294294294293295295293293292292291292292291292293292292293292293293294295295295295295296294294294294293293292293292294293292292291291291290291291290290289290290290290289289289288288288290289290289289288288288288287289288288288287288288288288289290292292292293292292292292291293293292293292291292292292292292291291291291291292292291291291291291291291292293293294294294294294294294294293293293294294294294294296296296296295295295295295295295296296296297298297298298298298298298298299298299299300299299298297298297298297297297295296296296296295295296295294294294294295294295295295294295296296296296296295295296296295297298297296296296297296297297296297297297297297298297298298298298297297297297297297297298298298299297297296296296296296296295295295296294294294293293295295294295295295296295295295295295295294294294294295294294295295295295295295295295294295295295295295295296296295295295295295295295295295295295295295295295295295295295295295294294294294294294294293293293293293293293293293293292292292292292292292292292292292292292292293292292292292292292291291291291291292291291291291291291291291292291291291291291290290290289289289288288288288287287287287287287287287287287287288288288289289289289289290289289288289289289289289289289289289289289289288288288288288288287287287288287287287287288287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306306306306305305305305304304304303302302301301301301301300299300300301301300299298297295296999999999999999999999999999999999999999999999999999999999292293294295296296296296295295295295295294294294294294293293292292293293293292292292292292292292292292293293293293293293293292292292292291292291291291291291292292293293293293293294294294294294294294294294295295295295295295295295294294294294294294294294293293293293293293292291292291291290290290289289290289288288287287287286286285283286286286286286285285285285285285284284284284285285285286286285286286286286286286287286287288287287285287286286285285286286287287287287287288287287288289287287287289288288289290290291290290291291290291290290290290290290290290290290290290290289290290290290290290290290291291291291291291290290290290290290291289290291292292292292290291289290292291291290290290289291291292292292292293292292291292291294294295294294292294294294294294294294293293293292293294291294293292292292292292291291291291291292293294294293294294294294293293294295293294293293294294294293293292292291291291289290290290290290290290290290289289289290289289288288289288288287288288288287288287288288288288289291291292292292292292292293292292293291292293292291292292292292292291291291291292291291291291291291291292292293294293294294294294295294294293294293294295294295296295296295295293295295295295295295295295296296297297297297297298298298298299299299299299299300297297297297297297297295296296296296295294295295296295294294295294294295296294294295294296296296296296297297297297297298296297296296297297297297297297297298297297297297298298298298297297297297297298298298298299298298297297297297296296296295296295296295294294294294295296296296296296296295295295295295294294295294295295295295295295296295295295295295295295295295295295295296295295295295295296295295295295295295295295295295295295295295295295294294294294294294294293293293293293293293293292292292292292292292292292292292292292292292292293293292292292292292292292292291291292291291292291292292291291292291291291291291290290290290289289289289288288288288287287287287287288287288287288288289289289289289290289289289289289289290290290290289289289290289289289288288288288287287287288288287287287287287287287287286286287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306305305305304305304304303303302302301301300300300301301300301301301301300298297296295295999999999999999999999999999999999999999999999999999999999293293294295296296296296296295295295295295294294294294294293293293293293293293292292292292292292292293293293293293293293293292292292292292292292293292292292292292292293293293292292293293293294294294294295295295295295295295295295295295295294294294294294294294294294293293292292291291291291291289289288289289289289289288287287286286285284285285284285285285285285285284284284284285285285285285286286285286286287287286287287287286286286287287286287286286286286287286287286286287287287289288288288288288287289289289289290290290290290290290290290290289289290290290289289289289289289289289289289289290290290290290291291291291290289289291290290290290290290290290290292291290292291290291290291291290290290290291291291291291292291292291292291294293293294293294294294294294293293293293293292292293292290292293293292291291291291291291292292292293293293294294294293293292292294293293293293294293293293292292292292292291291291291289290290289290289289290290289289289289289289288288288288287287287288288288288288288288288290290291292293292292292292292293291290291290291291292291291291291292291290290291291290291291291291292292292292293294294294294295295295295294294294293294295294295296296295295293294293295295295295295295295296296296297297297297298298298298297299299299300298298297299297298298298295297297298296297296294295296296295295294295295295295296295295295295296296297298296297297297297297297297296297296297297297297297297297297297297296297298298298297297297298297297298297298298298298298297297296297296295296297296297296296295294294295295296296296296296296296296295295294294294295295295295295295295295295295295295295295295295295295295295296296295296296295296295295295295295295295295295295295295295295295295295294294294294294294294293293293293293293292292292292292292292292292292292292292292292292292293293292292292292293292292292292292291292292292292292292292292292292292291292292291291291291290290289289289288288288288288288288288288287287288288288288289289289289289289289289289289289289290290290289289289289289289289288288288288287287287287287286287287287287287287287286287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307305304304304304303304303302301301301301300300299300300301300301301301300298295294300999999999999999999999999999999999999999999999999999999999999295294294295296296296296296295295295295295295294294294294294293293293293293292293292292292292292292292292292292292292293292293293293292292293292293293292292292292292292293293293293293293293293294294294294294295294294294295295295295295295295295295295295295295294294294294294293293292291291290291291289289290289288289289289999287287287287286286285285285285285285285285284285285285285284285285285286285285285286286286286287286286285285286286286286286286287286286287285286286287287287287288288287288288288289288289289290290290289290289289289289289289289290289290290289289289288289289289290289290290290290290290290290290290291291291290291291290290290289292290290289291290291290291291290291290290290290289291291291292291291293293293292293293293294294293293294294293293293294294293293293293292292292292292292293292292292291293291292293293293292294294294294295294296295294294293293293293293293292291292292292291292292291292292290290289289290289290288289289289290288288288288288288287287287287288288288287288288288289290291291292293292292293293292293290290291292292291291291291291291292291291290291291291291291291292292292293293294294295295295295296295295295295294294294295296295296296294293293295295295295295295295295295296296296297297296297297298297298297299299300300299298299298298298298297296295297298297297296295295296296296296295295295295296296295295296296296296297297296297297297296296296296296297297297297298297297297298297296296296297297298297296297297297297297298297297298298299298297297296297297296296296297296296296296294294295294297296297297297297297297296296295295294295295295295294295295295296296296296295295296295295296296296296296296296296296296296296295295295295295294295295295295295295295295295294294294294294294294294293293293293293293293293293293293293293293292292292293292293293293293293293293292293293292292292292292292292292292292292292292292292292292292291292291291291291290290289289288288288288288288288287287288287287287287288289289289289289289289289289289289289290290290290290290289289289289289288288288288287288287287286286287287287287286286287287287286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306304304304304303303302301301300300300300299299299299300301301301299297295294294999999999999999999999999999999999999999999999999999999999999296296295295296297296296296295295295295295294294294294294294294294294294293293293293292292292292292292292291291292292292293293293292293293292292293293292292292292293292293293293293293294294294294294295294295294294294295295294295295295295295296295295295296295295295294293294293293293292292292291291291290290290290290289290289289290290290290289287286286285285285285285285286286287286286286286286285287286286285286286286286286287287286285285286286286286286286286287286287286286286287287288287288288287287289288288289289290289289289289290291290289289290289289290290289290289289289289289289289289289289290290289289289289289289289290290290291291291291290290290289289289292291289289290290290291290290290290290290291291292292291291292292293293292293293294292292292293293293293293294295293293293293292292292291291291291292291292293292292292292292294295294294295296294295295294293293292291292292291292291292292292292291291291291293291290290290290290289289289289289289289289289289288288287287286288288287288287288288288289290290291291291292291291294293291290291293292291291292292291291291291291291294291291291293292292292292293293294294294294296296295296295295295295295295295295295296296296293293293296295295295295295295295296296296296297296296297297297297297297299299298300300298299298299299298297297297297298296296296295295296295295296295295294295296296295296297296297297298297297297297296297297296296297297297298298298297297298298297296296296297297296297298298297297297297298298297299298299298297296296297297296296295296296296295296295294296296297297297297297297296297296296295295295295295295295295295295296296296296296296296296296296296296296296296297296296296296296295296296296295295295295295295295295295295295295295294294294294294294293293294293293293293293293293293293293293293292292293293293293293293292293292292293292292292292292291291292292292292292292292292292292292292292291291291291291291291290289289289288288289288288288287288288288287287287288288289289289289289289289289289289289289290290290290289289289288289288288288288287287286286286286286286287287287286287287288287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305305304303304304303303302301300300299300300299299299300300301301300298295293293296298999999999999999999999999999999999999999999999999999999999294294294295296297296295295295295295294294294294294294293294294293293293293293292292292292292292291292291291291290291292292292292293292292292292292294293294292292292292293293293293293294294294295295295295295295294295295295294294295295295295295296296296296295295294294293293293293293293291291291290290290290290290290289290290290290290290290291289288287286286285286286287287287288288287286286286286286286287287287287286287287286286285286286286286286286285285285285285286286287287287288288287288288288288288288288289288288289288289289291291289290291290290289290290289289288289289289289290290290289290290290290289289289289289288289289291291290290289289290291289289290292290290290290291291291290290290290291290291291291291291291292292291293293293292292292292292293292293293294295295295295293294293292292292291291292292291291292293292293292293293293294294294294295294294293293292292292292292292292292292292292292291291291290291290289290289289289289289289289289289289289289289289288288287288288288287288288288288289289290290290291291291291291293293293290291292291291292292291291291291291291291293291292291293292293293293293294293295294295296296296296295295295295296296296295295296295295295294294295295295295295295295295295295295295296296297297297297297298298298299298298298298298298298298298297297296297297297296297294296297296295296296295295296296296295297297297297297298298298297297296297298297297296297297297297298297298297297297296296296297296296297297298298298298298297297297298297297297297297296297295296297296295297296295294295295296296296297298298297297297297296296295295296295296295295296295296296297297298297296296296296296296296296296296296296296296296296296296296296295295295295295295295295295295295294295294294294294294293293293293294293293293293293293293293293293292292293293292292292292292292292293292292292292292292291292292292292292292292291291292292292292292291291291291291291291290290290290289289288289289288288287288287287287287287288288288289289289289289289289288289289289290290290290290289289289289289288288288288287286287287287288287287288288287288287287287286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303304304303303304304303302302301300299300300300300298299299300300300300297293292292296999999999999999999999999999999999999999999999999999999999294293294295296296296296296295294294294294294293294293293293293293293293292292292292292291292292292292291291290290290290291291291292292291291292293293293293293292292293292291292292293294294293294294295295294295295294295294295295295295295295294295295296296295295295294294293293293293292292291290289290289290290290290290288289290290290290291289288289290289288288288288288288288288287289288287286287287287288287288288287286286286286286286286286285286286285284284284285285285285285286287288288287288288289288288289288288288288288288289290291290290291291291291290289289289289289289290288290289289289289290290291289289289288288288288289289290290290290290290291291290289291290291290289291291291290289290290290290291290290291291291292292292293292293294292292292292292292292292292293293293293294293293294293293293293293291292291292293294294293293293293293294294293293293293293293293292292293293292292292292292292291291290290292290290290289289289289288288289290289290290289289288289289288288288288288288288288288288288289290290290291293291295291292292292292292292292291292291292291291291291292293294293294292293293293293293294294294294295295295295296296296296295295295296296296295294295296295296295293296295295295295295295295294295294296297296296297297297298298298298298297297297298298298298298298298298297297297296296296296297296297296296296296296297297296297296297297297298297299298296297297297297297298297297297297297297297298298298298296295297296295296297297298298298296298298298298297297297296298297297297296296296296295296296295295296296295296296298298297298297297296295296295296296295295295296296295297298297298298297296296297296296296296296296296296296296296296296296295296295295295295295295295295295295295295294295294294294294294294294294293293293293293293293293293293292292292292292292292292292292292293293293292292292292292292292292292292292292292291292292292292292292292291291291291291291291291290290290289289288289289289288288287287287287288288288289289289289290289289289289289289289289290290290291290290289289289288288288288288287288288288288288288288288288288288288287287287285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301303303302303304304303303302301300300300300300300299299300300301300300298294293293298298999999999999999999999999999999999999999999999999999999292293294296296296295295296294294294293294294293293293293293293293292292292292291292291291292291292292292291290290290290291290290291291291291292292293293293292293292292292292292292293293294294294294294294294294294295294295295295295295295295294294294295295295294295294293293292293293292291290289288288289289289288288289288288289289289290291288999290291289289289289288289289289289289289289288288287287287287286287288287287286286286286286285285285285285285283283283284285285286286286287287287288288288289288288288288288288288289289290291290290290289290289290289289289289289289289289289289289289289290290290289289288288288289287289289289288290291290290291292291289291291289290289290290290291290290290289289290291290290291291292292292293294293292292292292292292292292292292292292293293293294293292294294294294294294294292293293293293294293293294293293293293293292292293293294293292292293293293293293292292291291290291291291290290290289290288289288288289290289290290289289288289289289288288288288288288288288288288289290290292292292293291291291293291293294292292292293293291291291292291294294294294293294294294294294294295295295295295296296295295295296295295295296295296294296294296295295295295294295295295295295295295295295295294296296297296297297297298298298298299296297298298299298297298298298298297297296297297297296297297297297296296296296297298297297297297296297297298298297297297298297297298298297298297297297297298297298297297296297297296296296296297298298297297297297297298296297297296297296297296296296295295295295295294296296296296297298298298298299298297297296295296296296295295295295296296296297297297297297297297297296296296296296296296296296296296296296296295296295295295295295295295294295295295295294294294294294294294294294293293293293293293293293293293293292292293292292292292293293292292292292293293292292292292292292292292292292292292292292292292293292292292292292292292292292291291290291290290289290289289289289288288288288288288288289289289289290290290290289289289289289289289290290291290290290289289289288289289288288288288288289288288288288288287287287287287287288286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301300300302304304304302302301300299299300300299299300301301301300300300296293293297298999999999999999999999999999999999999999999999999999999292294296297297296296295296295295294295294294294294294294293293293293292292292292292291292292291291291291291291291290291291291291291291291292292292293292292290290290291291291292292292293293294294294294294294294295294294295294294295294295295295296295295295295294295294292292291292292292292291289288289288288288288288288289288288289289289290291290291291290291290289289289290290290290289288288287288287286287287288287287288287287288286285285285284285286285284284283283284285286286286287287288288289288289289288288288287287288288290289289290289289289289288289288289289289289289289288289288288288288291289289288289288288289289287289290289289290290291290290290291289289289289289289288289290290289289289289289290290290291291290291293293293293292292292292292291292292293292292293293293292293294293293293294295294294294294293293294294294294294294294294293293294293293293294294293293293293293294294293292292292291292292291292292290290289292291292288288289289289289289289289289288289288288288288288288287288288288288288289290290291292292292293293293293293294294291291292293291291291291291292294294294295293293294294294294295295295295295296296296295295295295295296295295295295295294295295295295295295296294295295296295295295294295294295295295295296296296297297297297297299298296297298298298298298298297298297297297297297298298297296296297296296296295297298296297297296297297297299299299297297297297298297298297297297297296297297297298298297297297296297296296296297297297297297297297297296296296296297296296296296296296296295295295295295295296296296297297298298299297298297297296296296295295295295294295296296296296296297297297297296296296296297297297296296296295295295296296296296296296296295295295295295295295295295295295295294294294294294294294294294293294293293293293293293293293293293293293292292292292292293293293293293293292292292292292292292292292292292293292293293293293293293293293293292292292291291290291290290290290290290288288288288288288288288288289289289289290290290290289289289289288289289289290290290290290289289289288288288288288288288288288288287288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299299300301303304305303302301299299299300300299299300300300301301301300299295293297298999999999999999999999999999999999999999999999999999291293295296297296296296295295295294294295295294294294294294294293293292292292292292293292291291291291291291291291291290291291292291291291292292293292292292291291291291291291292292291292293294294294294294294294295294294294295295295294294294294294294296296295295294294294293292291291291291291291290290287287287287287287288288288289289289289289290290291290290290289290290289290290291291290289289289289288288288288287287287287287286287287285285284284284285285283283283284285285286286286287286287288288289288287287287287287287287287289289288289288289289289288288288288289289289289288288288288289288288288288288287288287287287289288288288288288289289289289289289289286287287289289290289290289289288289289289289289289290290291291291291292292292292292292291291291292291292292292292293292293293293293293294294295296296295295294295294293294293294295294294293294294294293295294294293294294294294294294294293292293293293292292292291290290290290291292290288289289289289289289289288288288287287287287288288288288289288288288289290290290291291290290293292292290291291291289290290290291291292293295295294294293293293294294294294295295295295296296295295295295295295295295295295294295295295295295295295295295296294294295295295295295294294294294294294294295295295297296296296297296297297297298297298298297297297298296297298298297297296297296294297295296297296297297297297297297297297298299299298298297296297298297297297298297296297297296297297296296296296296296296295297297297297297296296296296296296296296296296296296295295295296296295295295295295296296296297297298298297298298297297297296295297295296297296296296297297297296297296297297296296296297297297297296297296296296296296296296296296297297297296296295295295295295296296295295295295294294294294294294294294293293293293293293293293293293293293293293293292292292292293293292293293293293292292293293293292292292293293293293293293293293293293293292292291291291291291291290290290289289289289288289288288288288289288289289289289290290290290289289289289288288289289289290290290290290290289289288288288289288288288288288288288288288287287287289288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299300301303303303303301300300299300299299299299301300300301301302301300297294296298999999999999999999999999999999999999999999999291292292294296296296296295295295295295295294295295295294294294294293293292292293292292292292292292291291291291291291291291290290291291291291291291291291291291291291290290290291291291291291292292293293293293293293294294294293294295295295294295295294294296296295295294294294294292292292291292290289289289288288289288286287287288289288289290289289289289289289288290290291291290290290291292291291290290290290290290290289289289288286285286286287287285285284284285285285284284284285285285285286286287288288288288288289288288287289287288289289289288288288289289290289288288288288289289289288287287288288288288288288288287287287287287287287287287287288289288288289289289289289288288288290289289290289289288288288288288289291292292292293291291292291291291292291291291291291292292291292293293292292292292293293294294295296297297295294295294293294295294295294294294294293293294294293293294294293294293293294293293293293293293292292292293292291293291291291291289291290289288288288289289288288288288288287287288289287287288288288289289289293294291291291291291292290290291291290290290291291294294293295295294294293294293294294294295295295294295296296295295295295295294294293297296295295295295295295295294295296296295295295295294294294294294294295295294294294294295296295295296296297296297297298297297297297298300297296298298297297296295297297296295294296297296297296297297296297296296298298298298298296297297297297296297297297296297297297297297296297297297296296296296296297297297297297295296296296296296296296296297296296295297296297296296296296296296297298298298298298298298299297297297296296296296297297296296296296297297297297297297297296296296297297297296297297297297296296296296297296296297296296296296296295295296296296296296295295295295295294294295294294294294293294294293293293293293293293293293293293293293292293293293292292293292293293293293293293293293293293293293293293293293293293292292292291292291291291291290290290289290290290289289289289289289289289289289289289290290290291291290289289289289289289289289289290290290290290289289289288289288289290288288288288288288288288288289288288288288290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299302298300301302303302301300300299300299299299299300301301301301301301300299295295296999999999999999999999999999999999999999999291291292294295296296295296295294295295294295295295295295295295294294293293292292292292292292292292291292291291290290291291290291290290290290290290290290291291291291291291290290290290290291291291292292293292293293293294294294294293295294295295296295295295295295295295295294293294294294293292291289289288287290290288289288999999999999288288289289289289289290290287290292292292292292291291290290291291291291290291291289291291290290289287287287288288287286285285285285285285284284285285286286286287288289287287288290289288289289289289289289289289290290289288290290289289289289289290288288289289288287287287287287287288288287287286287286287286286287287287288287288287288288288288289289288290289289289288287288288288290291291292292292292292292292291291292291291291291291292292292292292292292292292292293293293294295295296298297294294294293293292293294294294294294294293291293293293293293294294294294294294293294294291292294291292290293289290290291290291289287289291290289289289289290289289289288287287287287287288288288288288289290290291291291291291291290292291291290291291290291291292294294293294295295294294294294294294294294295295295296295296296295295295295295296296296295296296295296296295297296294296295294295295294294294294294293294294294294294294295296296297296297296297296299297298297297297295296297297297297297298297296296297298297295297295296296297297297297297298298297297298298298296297297297298297297297297297297298297297298297297298297296296296296296296296297296297296297297297296296296296296296297297296296297297297297296296296296296297297298299298299299298297297298298297296297297297297296297296297297296297297297297297297297297296297297297297297297296296296297297297296296296296296296296296295295295296296296295295296295295295295295295295295294294294294294294293293294293294293294293293294294293293293293293292293293293293293293294293293293293293293293293293293293293293292292292292292292292291291291290290289290290290290290289289289289290289289289289289289290290290291290290289288289289289288289289289289289290290290289289289288288288288288288288289288289288289289289289289289290289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300298298301302302302300300299299299299299300301301301301301301301300300297296296297999999999999999999999999999999999999291291292293294295295295295295294294295294295295296295295295295295294293293293292292292291291292292292291291291291290291289290290290290290291291291289290290291291291291291291290290290290290291291292292292292292292293293293293293293294294294294294294294293293294293294295294294293294294295292292291290289288287288290290999999999999999999999999291291291290291291289999289293292291292292291292290290291292292291291290290291290291290290291289289289288288288287286286286285286285284285286286287289288289290288289287289289289291291289289289289289290289288289290290289290290291292289290289289289289289288288287288287286288287287287287287288286287287287288287287288288288288288288288289289290291291290289289289289287292291291291292292292292293292293293293292293292292291291292292292292292292292293293292293294293294294294295298296297297294294294294293294295295295294294294294294294294294294294294294294294295295294294293292291291292292291292291292290289289290290290292291291289289290289290289288288288288287287288288289289288288289291291290292291292291292293291292292291291292292292292292294294294294294294294294294295294295295294294295295295296296296296296294295296296296297296297296297295296296296295295294297295295295295294294294295294294295295296295295296296296297297298297297297295295296297297297298295296298298297296297297297296296297298296295297296296296297298298297298297296296297297297297296297297298297298298297297296297297297298298297297297297296296297297297296296296296296296297297297297296295295295295297296296296296297297297297297297297297297297297298298299299299298297297297298296297297297297297297297297297297296297296296297297297296296296296296296296296296296297297297297296296297296296296296296296296296296296295295295296296295295295295295295295295295295295295294294294294294294293294294294293294293293293293293293293293293294294293294293293294293294294293293294293293293293292292292292292292291291291290290289289289289289290290289290290290290290289289289290290290290290290291291290289289289289289289288288289289289290290290290290289288288289288289289289289288288289289288288289290291291289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297298300301302301300299299299299300300301302301301301301301301301300299298298297297297295999999999999999999296294294293293294294295295294295295295294294294295294296295295295295294294293293293293292291291291292291291290290290289290290290290290290290291290290290290290290290290290291291291291290290291291292291291292292292292293293292293293293294294294293292293294294293293293294293293294294293294294295294293293292290290289288289291290999999999999999999999999999999290290290291291999999292292292292292291291291291292290291291291292291290290291290291291290291290288287288287287286285285285285285286288287288286286289289288288290289290290290291289289291289290290289289289289289289290290291290289290289290290290289287288287287286287288288289288288288288286286287287287287288287288288287287288289290290291291290290291291291291291292292291291292292292292293293293293293293292291292292292292292291291291292291292293293293294294296292296295297298298296294295295296294294294294294295294294294295294294294294295294294294295295293294294293294294293292294291293291291291291291291290287287292291289289290289290290289288288288288288288287288288289288291290292291292291292292292292292291293294291291292294293293293294295294294294295294295294295295295294294295295295296296296295295296295296297297298297296297298296296296296295295294296295295295295295295294294295294295294295295296296296297297298297297297297296296296296297297296297298298297297296296297296295296297297297297296296297298298296298297298297297297297298297297298296298298298297298297298297296296298299298296297295296296297297297297296297296296296297297296297295296295295295295296296296296297297297297297297297297297297297298298298299299298298297297296297298298297297297298297297297297297297296295295295296296296296295296296296296296296297297297296297296296297296296296296296296296296296296295295295295296296295296296295295295295295295295294294294294294293293293294294294293294294293294294294294294293294294294293294294294294294293294294293294294293293293293293293293292292291291291290290289289289289290290290290290290290290290290290290290290290290290290291291291291290290289289288288288288289289290290290291291290289288288289289288289289289289289289289289290291290289287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294298300302302301299299299299300300302302302301301302302302301300299299299298296295294294291293292999999294294294294294294295295295294294294294294294294294295295295295295295294294294293293293292292292292291291290290289289289290290290289290290290290290290290290290290290290290290290290290290291291290292293292293292293292292293292293292293293293293294293294294293292294294293293293294293293293293293293293292292292290290289290290291999999999999999999999999999999999999999999999999999293293292292293292292291291293292292291291290290290290291290289290290290290290288288287287287286285285285286288288287288286286287287288288288288288288288289288289289289289288289289289289288289289290290289289289288289289289287287288287287287288288288288288289289288287287287287287287287287287288288288288290292291290292290291291291291291292292291292292292292292292292293293293292292292292292291291291291291291291291292292293294294295294296295294295297297297297297297297297294294293293294295295295295294295294294293294293293294295294293294294294295294293292293293295293292291290290290290286286291291292289289288289290290288288289288288288288288288289289291290291291291291292292292292292290291292292292292293293295295294295294294294296295295294294295295294295295295296296296295295295294295296297297297296297298299298297296296297296297296295295295295294294294295295295295295295294295296296297297297296297297296296295295295296299297297299298297297297296297297296297297297298298297296297298298298297296298297297297297297297298297296298297298298298298298298296297297297298296295296296296297297297297297297298296296297297296296295296296295295295296296296296298297297297296297298297298298298298298298298299299298297297298297298297298297298298297297297297296296296295295295295295296296295296296297296296296296296297296296296297296297296296296296296296296296296296295295296295295295296296296295295295295295295295294294294294294294294294293294294294293294294294294294294294294294294293293294294294294293293294293294293293293293293293293293292292291291291290290290290290290290290290290290290290290290291290290290290290290290291291291291291291290290290289288288288289289290290291291291291289289290289288288289289289289290289289289290289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301301301299299298299299301302302302302302302302302301301301300299299298297296295295296294294293294294294294294295295295295294294294294294294294294295295295294294294294294293293293293292293292292291290290289289290290290289290289290290290290290290290290291291290290290290290290290290291291292292292292292292292292292293294293293296293293293294292293294293292294293293293293294293293292292292291292292292292290289289290290999999999999999999999999999999999999999999999999999293294293292292291293292292292292293291292290289289290289290289289290290290290289289289289288287286285286285287287287287287287287288288289289289289289289289289289289289289289289289288289288288289289290289289289289288289289289288288288287288288289289289289289289289288287287286287287286287288288287289291290292293292290290291291291291291291292292292292292292292293292293293293292292292292291292292291291291292293292294293294293294293295296296297297297298298300298297298296293294294293294294294294294294294293293293292293292292293293294294294295295294293292293291292292292292291289289289289286287291291291288288288288289289289289289288288288288289288289289291291290291291291292291291291291291292293291291290293293293295294294294294294294295295295294294295294295295296296296295295295295295295296297299298297298299299299296297295295296297295295295296295294294294295295295295296294294294294295295296296296298296296296295294296296296297297297297298298298296297299298297297298298298298297296296296297297296296297297296296297297297297296297297298298298298298297297297297297296297297296296296296296296297297297297296296296296295297296296296296296296297297296296297297296296296297297297298298298298298298297298299298298298297297297297297297297297297298297297296296295295295295295296296295295296296297296296296297296296296296296296296296296296296296296296296296296296296296296296296296296295296295295295295295295295294294294294293294293294294294294294294294294294294294294294294293293293294294294294294293294294294294293293293293293293293293292292291291291290290290291290290290290291291291290290290290291291290291290290290290291291291291291291291291291290289288288289289290290290290291292290290289289288288288289290290290289289289289289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301301301300298298298299301302302302302302301302302302302302302301301299299297297296296296295295295294294294295295294295295294294294294294294294294294295294294294294293294293293293292292292291291290290290290289290290289290289289289288290290290290290290290290290290290290290290289291291292292292293292292292291292293293293293293293293294294291292293294294293293292293293293292292291291291291291291291291290290289288290290999999999999999999999999999999999999999999999999999293295294293292291291291292291292292291291289289288289289288289290290290290289290290290290289289288285287286288287287288288287289289289289289289290289288289289289289289289289289289289289289289290290290290290289289288289289289289288289288289288289290289290290289289289288287287287287287287291289289289292292292292292291293291291292292292292292292292292292292293293293293293292292292292292292291291293291291291294294293293294294296295294297296296297298301299299300299299296295295294294295294294294293293293292292292291292291292292294295296296297296295293292293294292293293292292291290287289290286290291291290290288288289288292288288288288288287288289289289292292292291291292292292291291291291292291292291290292292294295294294294294294294295295294294294294295295295296296296295295295295296296297298298297297298299298300299297298297297296295296295295294294294295295296296296295294294294294297295297297296297296296295296296297295295296296297297298297297297298298297297297297298298298296297296296297297295296296297296297296297297296296297297298299298298297297297298297296296295295296296296297297297297296297296296296296295297297296296296296296297297297297296297296296296296297297297297297298297298297298298298298297297297297296298298298298298298297297296296295295295296295296296296296296296296297297296296297297296296296296296296296296297296296296296296296296296296296296296297296296296295295295295295295294294294294293293293293293294294294294295295294294294294294294294293294293294294294294294294294293294294294293294294294294293293293292292291291291291291291291290290290291291291291290291290291291291291290290290290291291292291291291291291291291290290289289289289290290291291292291291291290289289289290290290291290290289290289289288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301301300299299298299300301301302302302301302302302302302302301300300299298297297296297296295295295295295295294294295295294294294294294294294294294294294293293293292293292292292293292291291291291290290290290289289288289289289288289290291290290290290290289290290290290290290290291292292292292292292292292292292292292292292292293293293293293292293293293293293292292292292292291291291290290290291290290289290290289291290999999999999999999999999999999999999999999999999999292293292292291292291291290291291291291291290290290290290290289290290290290289290291290291290290288286286286287288287288289288289289289290290290289289289289289289289289289290290289289290289290290289290290291289289289290289289289289289288289288288289289289290290289289287287287287289288291292288289291291290292293293291291291291291292292292293293292292293292292293293293292292292292291292292292293293292292293293293293295294295296295296296296296297298299299299298299297296295295294295295294293292292292292291292292292292292293292294295296297293295294293294293292293292291292292292291290288291290291291290290290289286287289289289289286287286287288288289289289292291292291291293290290291291293292292291290293293294292293293294293293294294294294294294294294294294295295296295295295294295296297298298298297298298299299298297297296298296295295295295294294294294295295295296295294296295295294295295295295296295297295296296296296296298297297297298297297297297298298295296298296296296296297295296296298297296296296296296296297297297297297297298298299299298297297297297297296296295295295296296297297297297297296296298296296295296297297297297297297297297298297297297296295296296296296297297298298297297297298298298298297297297297297298298298298298297297297296296295295296296296296296296296296296297297297296296296297296296296296296296296296296296296297297296296296296296296296296296297296296295295294295295295295294294294293294293294294294294295294294294294294294293293293293293294294294294294294294294294294294293294294294294294293293293292292292291291291291291291292291291291291291291291291291291291291291291291291291291291291291292291291292291291291290290290290289289289290290291291291291291291292290290290290291290290290290289289288289288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299300300300299299298299299300301302302301301301301301301301301301300300299299298297296296296296296295295295295295295295295294294293293293293293293293293293293293292292292292291291291291290291291290290290289289288288288288288288289288290290290290289289289289289289290289290290290291291291291292291292292291291291292292292292292293293292292292291292292292291291291291291291290291290290289290291291291290290290291290290999999999999999999999999999999999999999999999999999999293292291292291291291290292293293291291292289289288290289290291290291290290290290291291291291290290288288288288287288288289289290289290291290290289289289290290289289289289290289288287290289290290288292290289290289289290290289289290290290290289289289289290290290289289288287288289288288291291292291293290291291293293291291291292293292292293293293293293293292292292293292292293292292292292292292293292292293293294295295295296295295294296296298297298298299299299299297298296295295294295294294292292292292292292293292292292293294293295295296295293292294295294293293293293293293293293292292291291291291292292290290289289289289290290289289287286287288288289289293293293289290290290290292291292292293293291290292292292292293294294293293294294294294294294294295295295296295296295295295295295297297297298298298298298298299297296297297296296296296296295294294295295295296295295293294296297295296295295296296297296296297297297296299296297297296297297297297297297298297296295296297295294296297296297297296297297297297296296296297297298297297298298298299298298297297297297297296296296295296298297297296297296297297297297297297297298298298297298297297297298298297297297296296296297297297297296297298298297297297298297297297297297297298298298297298298297297296296296295296296296296296296296296296297296297297297296296296296296296296296296296296296296296297297296296296296296296296296296297296296295295295295295295294294294294293294294294295295294295295295294294294294293293294294294294294294294294294294294294294294294294294294293293293293292292292292291291291291291291291290291291291291291291291291291291291291291292291291291291291291292291291291292292292291291290290290289290291291291291292292292293293291291291291291291290290289290291290288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300300299299299300299298299300300301301301300300300301301301300300299300299299298297297297296296296295295295294294294294294293293293292292292292292293292292292292291292292291292291291290290291290290290289289289288289289288289288288288289289290290289290289289289289289289289290291291291291292291291292292291292292292291291291292292292292292292291292291291290290290290290291291290290289290290291291291291290290290290290999999999999999999999999999999999999999999999999999293294293292292292293291291293293293291290292293290290291291291291291291290290290291292292292292291289288289288288288288289289289289290290291291290289289289289289289288288289290287288288289288289290289290289289288289290289289290291291290290290290289289290290290290289289288288288288288290291291293287287290290289290291292292292293293293293293294294293292292293292292292293292293293293293293293293293293293295294294294297297296296295296295296297297297297297299298297297297296296296295292294294292292292292293292292292294295294295296295295294297295295294295295294293293293294293294293293292291292292292292291291290290290289290291290290289287286287291291288289289292293289290290290292292292292293293289290290291291291292293293293293293293294294294294294295295295295295296296295295296295294296298298298298296298297298298299296296296297297297298297296295295295295295296296296293295295296296296295295296297298297297297295296298296295296298296298296296296296296298297297295296296296295296296297296297296297296296296295296297297297297297298297298298299298297298298298298298297296296296297297297296296296296296297298298297297298297298298298298297298298298298297297297297296296297296297296297297297297297297297297297297297297297297297297297298298297297296296296296296296296296296295295296295296296297297296296296296296296296296296296297296296296296296296297297297296296296296296296296296296296295295295295294295294293293293294294294294294295295295295295295295294294293293294294293294294295294294294294294294294294294293293294293293293293292292292292292291291291291291291291291291291291291291291291291291291292292291292292292292291292291291291291291291291291291291290290290290290291292292292292292292292291291292292291290290290291290290289290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299300299300300300299299299299300302301300300300301300300300299299299299298298297297297297296295296295295294294294293293293293293292292292292292292292292292291291291292292292291291291290290291290290289289289288289289288289288288288288288289290290290289289288289289290291291291291291291292291291291291291291291291291291290290291292292292291291290290291290290290290290290291291291290290289289290291290290292292291291999999999999999999999999999999999999999999999999999294294296293292293293293292293292293293293291293292291291291291292291291290289291291292292292290292289289290289289289289289289290289290291290291291290289289290289289289289289289288287288290289289289289290288289290290289289291291290290290290290290290291290291290289289288288288288288289289289291289288288292291292293290293292292292293292293294294293293293293293292292293293293293293293294293293293293294294295295296295297297294297297297295295295296297297296298297297297296294295295294294293293292294294294296294294294295294295297295296297297294295295295296296295295294293293293294293292291290292292292292292291291290290290290290290290289289286291291291288288288289289290290290293292293291291291291291292290291291290292293293294293293294293294294294294295295295295296295296296295295294295297297298298297296295298298298298297298297297296297298297296296296296295295296296293294295295296296295296295295298298297297297296296295295295296296297296296296296296296298296297296296296295295295296295296296297296295296296297296297296297297297297297297298298298299299298298297297297296297297298298297296296297296296297298298297298298298298298298297298298298297297297297297296296297296296296296296297297297297297297297297297297297297297297297297297297297296296296296296296296296296295295295295295295296296296296296296296296296295295295296296296296296296296296296296296296296296296296296295295296296295295295295294294294293293293294294294294294295295295295295294295294294293294294294294294294294294293293294294294294294293294294293294293293293293292292292292292291291291291291291292292291291291292292292291292292292292292293292292292291291291291292291291291291291292291291291291291291292292293293294293293292292292292291290291290290290289291291290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298299300300300300298299299299301301301300300300300300300300299299298298297297297297296296296295295294294293294293293293293293292292292292292292292292292291291291292291291292291291290290291291290289289289289288288288288288288288288288289290290289289289289289290290291291291291291291290291291291291291291291291290290290291291291292291291291290290290290290290290290290291290289290289288288289290291291291291290291999999999999999999999999999999999999999999999999999999294296295293292293294293293293294294293292293292292292292292292291291290291292291292291293290289290290289289289290289289290290289290291290292292291291290290289290289289289290287287288288287288288288290289290290289290290292290289289291290290290291291290290290291288288289287288288287287287292292291291290291291292292293294294293293293294294294293293294294293293293293293293293294294293293293293294293294295294296294296296296296295296296296295296296295298297297297295294294294295293293293294294294294294294294293297295295297295291294293295293294295296294295294295295295294293293294292292290292291292293292292290291289291290292291290289289290291290290288288288289289289290290293293294291291291291291292292293289289290292293293294293293293293294294294295296296296295296296296296294295296298298298298297297296299298298298295298297296297298297296296296296296296296296296294295295296296296296296296296298298297298297295295297295296296296296296295295296296296294294296296296296296295295295296296297297297296296295296296296296297297298297298297297297297297297298298297297297297297297297297297297297297296296298298299298299298297298298298298298298298298297297296296296297296296296296296296296296296297297297297297297297297297297297297297297297296296296296296296296296296296295295295295295295296296295295295296296296296296295296296296296295296296296296296296296296296295295295296295295295295295294294295294293293293293293293293293294294294295294295295294295295295294295294294294294294294293294294294293293293293293293293293293293293292292292292292292292291291291292291292291291292292292292292292292292292292292292292292292292291292292291292291292291292291292292292292291291292292293293293293294293292292292292292291292291290290289290292290289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298298298300300300299299299300301301300300300300300300299298298299298298297297296296296295294294294294294294293293293293293292292291291291291292292292292292291291291291291291290290291291291290289289289289289289289289288288287287289289289289289288289290289290290290291291290291291290290290291291291291291291290290290291291291291292290290290291290289289290290290290289289289290289288288289288291291290289288287999999999999999999999999999999999999999999999999999999295296295293293292293295294293293294294293293293293292292293292291292291290294293292293292295296292292291290290290290290290290290290290291291292292291291290290288288289292290288288287289288288288289289290290289289289290290291290290291291291290291290291290291289289287287288287288291287290290292291292291291292292293293293295293293293293293293294294294294293294293293293294294293293293293294294294294293294294294295294294296296296295296296296296296296297298297295295294294295295295294295294293293295294294293293292295293298294293293295293292294294296295294294295295295294293295294293292292293292294294294293291292292292292291289289288289289287287288288289289289289292290293294294295292292291292292292292293292290290291293293293293294294294294295294295296296296296296296296296296296296298298298298298298297299299297298297298297297296298297296295296296294295294294294295295295296295296296297297296297298296297297297297296296295296295297296296295295296295296295297296296296295294296296295295297297295296296296296297297297297297298297297298298297297297297298298297297297297297297297296297297297297297297298299300298299297298298298299298298298298298297297297296296297296296296296296297296296296297297297297297297297297297297297297297297297296296297296296296296296296296295295295295295296296295295295295295296295296296295295295296296296296296296297296296296295296295295296296296296295295295295295295295293293293293293293293294294294294294294295294295295295295295295295294295294294294294294294294293293294294294293293294293293293293292292293293292292292291292292292292292292292292292292292292292293293293293292292292292292292292292292292292292291292292292292292292292293292293294293293294293293292292293292291292290292289293291291291292289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297298298299300300300299299299300300300300300300299299298299298298298298297296295296295294294294294294294294294294293293293292292291290290291291291291291291292291290291290290290290291291290290289288288289289288288287288288289289289290290289288289289289289289290290290290290289290291290290290291291291290291290290291290291290290290290290290289289288289290288288288289289289289288288288289289291290289288289289289999999999999999999999999999999999999999999999999999999295294293291293294294294293293294294294292293293293292291292292291291290290292292292292291292291292291290290291290289290291291291290290290291292292290290288288289288292291289287288288289287288288289290290289290289288289291290289290290291290290290291291290290288288286289288287287287287288288290291291292292293293293294294293294293293293294294294295294294294294294294294294293293294293293294295295294293294294294295295295294298295296296296295295296298296295296295294294294294295294295294293294295293293293294294295295293293293295293293293295293295294295295295295295295294295294294292292292292292293294294291292290290290290289288289289288286286287288288288289290290293293294293293292292291292292292292293292287290292293292293293293294294295295295295296296296296296296296296296297298299298298299298297298299298296298298296297296296298297296296296294294294294295295295296296296296296296298297296295295295297297297296296295297295296296296296296295295295295295296296295295296295294295296296297297295296295296296296297297297297297296297297297296297297297298298297297297297297297297297297297297297297298299300300299298298298298298298298298298298298297297297297296296296296296296296296296295296296297297296297297297297297297297297297296296296296296296296296296296296295295296296296295296296295295295295295295295295295295295296296296296296296296296297297296295295296296296295295295295294295295295295294293293293293293293294294294293294295295295295295295296296295296295295294294294294294294294294294294294294294294294293293293293293292293293292292292292292292291292292293293292293293293293293293293293293293293293293293293293293293292293292293292293292293292292293293294293294295294294294293292293292293292292294292291292292293292292292289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297298299299301301301300299300300300300300299299299298298298298298297296296296295295294294294294294294294293293293293293292291291290290290291291291290290290289289289289290290290290290290289288288288288288288288287287288288289289290291290290289289289289289289290290291291291290290290290290291290289290289289289290289289289289289289289289288288288288289288288288289289289289288288288291290291290289288289289999999999999999999999999999999999999999999999999999999999999294293293292292293293293294294295295293294293292291291291291291291291292292292292291292292292290291290290290290291291291291292291291291291291290289289290289288289289290288288288289289288287287288287289289290290289289290289288289289290290291291291291291291288288287287287291291289288289289290290291292294293292292292294295295293296296297297295298293294295295294294294294294294294294295295296296294294294295294294294296294295295296297295297295295297295295295294294294294294295294294294294293293294295294293292295296295292294295294293294295293295294295295295295296295295294294293291293292292292292294292292292292292291291289289288289288284286285287287288289290289292291294293292292291292292292291292292292291292292291291293293293294294295295295296297297296296297296296297297297298299299298296297298299299298296297298298296295295295297295294296294295294294294295296296296296297296296297296295295295296296295297297295295295294295297296296295296296294296296296296296295295296296296296296297297296296296296296297296296296296297297297298296296298297297299298297297296297297298297297297298297297297298301300300299298299298298299298299298298298297298297297296296296296296296296295296296295295296297297297297297298298297297297296296296296296297296296296297296296296295296296296296295296296296295295295295295295295295295295295296296296296296296296296296296296296296296296296296295295295295295295294293293293292292294293294294294294294295295294294295295295296295296295295295294294294294294294294293294294294293294294293293293293293293293293293293292292292292292293293293293293293293293293293293294293293293293294293293293293293293293293292292292292292293293293293294294294294294295295294293294293293292294294292292292292292292294291292290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298299299299300300300299299299299299299298299299298298298297297296296296295295294294294294294294294293293294293292292292291290290290291290290290290289289289289289289289289289289289289288288288288289288288287288287288288288288289289289289289289289290290290291291291290290290290290290288289289288290289289289289288288289289289289289289288288288287287288288288289290288287289289288290291289289289290290999999999999999999999999999999999999999999999999999999999999295295293293294294293293294294294293293293293292290291291291291291291291291292292292291290291289290289290291290290290290291291291291291290290289289289289289289290289290289288288289288288288288287288288289288288289290290288291289290290290291291290290290289289288287287288288294290293289290290291292292293293293293293293294294296296297297298298298294294294294294294294294294294294294294294295295294294295294294293292292293292294294295296296295295296295295295294294294295294294293293293292293293293294295296296295296295296295295294294294293294295294295295296295295295295295294291293293293294294294294292293293292292292291289288288288288289285286287287288289290290290291292292292292292292293292292292292292292293293292291292293293293294294294295296296296296296296297296297297297297299298298297298297298297296296297298296295295296296296296295294297296296295295295296297297296297296296296296296296296296295296297296296295295295296297297295295295296295296295296296296295295296296296297297297296296296296296297297297297297297297297297298295297297297297298296297297296297298299298299299298298297297298301300300299299298298298299299299299298298298298297297296297296296296296296296296296296296297297298297297297298297297296296296296296297297296296296296296295295296296296296296295296296296295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296296296296296296295295293293292293294294294294295294295295295295295295296296295295295296296294295294294294294294294294294294294294294294293294293293293294293293293292293292293293292292293293293293292292293293293293293293293293293293294293293293293293293293292293292292292293293293293294295294293294293294293294293293293292294295292291291294292292292291290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297298298298299301299298298298298298298298298298298298297297296296296295295294294294294294294294294293293293292292291291290290290290290290290290289288288288288288289289289289288288288288288288288288288288288288288289288288289290290290290290290290290291291290290290290290289289289288290290290290289288289289289289289288288288289288288287288287287287287288288290290291290290288289289289288289291288999999999999999999999999999999999999999999999999999999999999999295294294295294294294294294294294292292292292292292292291291290291291290290291293290291290290289289291290290291291290291291291290291291290290290289290288288288288290289288289289289289289288287287288287288289289289289289290290290290290290291290290290290288291290291288288290288291292291291292293293293293293292293293294294294294294294294294295294294295295294294293293293293293293294294294294294294294293294293292292293294295294294294295296296296296296294294294294294294294293293293293293294294292293294295294295296294295295293294295296294294294294296295294294294294294294291294294293293295294293293292293293294292290289288288288288288287287287287289289290290291294292292293293293293293293293293292292292293293291292293293293293293295295295296296296296296296297296298297297298299299298298298296298297295295296297296295295296295296295295295299299296297296295297297296297296296295296296296296296295296296297295296296297297298297298296296297295296297296296297297296296296297297297297297297297296296296297297297297297297297297296296295296297297297296297297297297297299298297298299299298298299299298298300299299298298298298299298299298298298298298297297296297297296296296297297297296297298298298297298297297296297296296296296296297296296296296296296295296296296296296296295296296295295295295295295295295295295295295295295295295296296296296296296296296296296296296295295296296296296296296296295294294293293293294294294294294294295295295295295295296295295295296296295295294294294294294294294293294294293294294294293293293294293293292292293293293292292292293293293293293293293294294294293294293293293293293294294293293294293293292291292292293293294294293294295295294295295295295293293293292293294293292292292292293292293290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296297298299300298297297297297298298298297298298298298297296296295294294294294294294294294294294293293292292293292291290289289289289289290289289288287286288288288289289288288288288287288288288288288288288288288289290288288289290290289289289290291290290290291290290290289289289289290290290290288288288289289289289289288288288288288288289288288287287289287289290290289289290288287288289287288288999999999999999999999999999999999999999999999999999999999999295294294295294294294294294294294294293293294293293291292292291291292291290290292292291291292291289289290289291291290290291290289290290290288290290289288289290289290290288290290290290289289288288289288288288289290290290290291290290290290291292291291292290292290291292291292293293293294295295295296293293293294293294294294294294294295295294295295295295295295294294293293292293293293293293293293293294294293292293293293293292293294292296294296295296296295296294295294293293294293293293291294293294294293293294294294294294295295294294295296295294295295295295294293293293293293295293293294294294293295292292293293293292291289288287287288289289287287287289290290291291292292293293293293293293293293292293292292293293292294291293293293293293294295295295296296296297297297297297297297299297297298297298297293294294294295295295295295295296295295295297299297297296295296297297297296296297295296296296296296296296296297296295296296296297297296295297296298297295296298298297297297297297297297297297297296297297296297297297296296297296296296296296296297296296298298297297298298298299299299299298299299299299299300299298298299299299298298299299298298298298297297296297297297296296297297297297298298298298298297297297296296296297297297297297296296296296296296295296296296295295295295295296295295295295295295295295295295295295294295295295296296296296296296296296296296296296295295295295296296296296295295295294294294293293294294294293294294295295295295295295295296296296296295295294294294293294294294294294294294294294294294293293293293293293293293293293293293293293293293293293294294294294294294294294294294294294294295295295294294294293292293293292293293293293294295297296294293293293293293293292294293293292294292292292291291291291290291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297296297298298299298298297297297298298298298297298297297296295295294294294294294294294294294294294293292292292292291290289289289289289289289289288287286287288288288289288288287288288287287287287288288288289288289288290288289290290289290289289291290290289289290289289289288289289290289290289289288288288288289289288288288287287287287287289288287287287287288290289289289288287287288288286287290999999999999999999999999999999999999999999999999999999999999292292293293294294294294294294295294294294293293293292292292292291291290291290290290291291291292290290290290290289290289290290290289289288289290290290290288290290290289288289290289290289289288288289289289289289288289289290291291290290293292291291292292292293293292293292292293295291291296294295293293293294294294294294293294294295296296295295295295295295295294293293293293293292293294294293293293293294292292292293293292293293294294295294294295295296295296295295294293293293293292293293293293292292293294294294294294294295296296296296296296295295296296296293294293293293293293293292294294292295293292293293293292291291290288287288289289287287287287289290291292292293292293293294294293294293293293293293292294294292294295295295292293293294295295296296296296297297297297297296297299298296297295296295295294293294294296296295297296297295295295295297296298295296297296296296296296296296296296296297295297295297297296296296296296296296297294296297299297296296297297297297297297297297298297297296296297297297297298297297297297296296296295296296296294297297297298298299298299299300299299298299299299300299299298298298299298299298299299299299298299298297297297297297297296297297297296297298298298298298297297297296296296297296296296296296296295295295295295295295295295295295295295295296295295295295296295295295295294294294295295295296296296296296296296296296296296296295295296295296296296295295295295294294294295295295294293294294294295295295295295296295296296296295295294294294294294294294294294294294294294294294294293294294293293293293293294294294293293293293293294293294294294294294294294294294294294294295295296296294294293293294294294294294293294294294294296296294293294292293293293293293293292292292292291291291292293292291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297298299298298298298297297298297298298297296296295295295294294294294294294294294294294294294293292292292291290289288289289289289289288288288288288288288287288288287288288288287287287287287288288289289289289288288289289290290290289290291290289289289289289288289289289289288288289289289289289288289288288288288288287287287286287289288288288286287287286289288286289287287287285286286999999999999999999999999999999999999999999999999999999999999999293292292292293294293294294295295294293294294293293293293293292292292291291289290290291291291290290290290290290289289289289290290290290290289290290291290289290290290290290290290289288288288289289288289289289289288289289290290291291292291292292292293291291294292294292293293293294292292293293293293294294294295295295295295296295295297296295295295294294295294294293293292292293293293293293294293293293293293292294294294294293294295295294294295294296295295295295295294293294294293292293295294293293291295294294294294295295296296297296296297297296296296296295294294294293295296295294294294294296294293293293291293293291290290288287288289288287288288288289290291292292293293294294294294294294293293293293293293294294291295295295295292292293294295295295295296297296297297296297297297295295295295297295295295295295294295295296296296297296295295295296297297296296294296296296297296295296296296296296296296296297298297295296297295295297297295296297297297296296296296296296297297297297298297297296297297296297297297298297297298297296296296296296296296295296297296297297298298298300300299298298299300299299299298298298299298299298298298298298299299299299298297298297296296296296296297297297297297297297298297297297297297296296296297297296296295295295295295295295295294295295295295295295295295295295295296295295295296294294295295295296296296296296296296296297296296296296296296296296296296296295295295294294293293295294294294293294295295294295295295295296296296296295295295295295294295295294295294294294294295295294295294294294294294294294294294294294294294294294293294293294294294294294294294294295294294295296295295295294294295295294294294294294294294294295294294297296297294294294294292293293293294293292292290293293293293293292291292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299298298298298298297297297297296297298297295295295295295294294294294294294294294294294293293292292293293292290289289288288288288288288288288289289289288287288288288287287288288288288287287288288288289289289289288289289289290290290290290290290290290289289288288289289288289287288288289288288288288288288288288288287287287287289289289288287287287288287288287287287288288288288286287999999999999999999999999999999999999999999999999999999999999293292292292292292293293295294294294294294294294294294294293292292292291291291290290290289290290290290290290290289289289289288289289288288288289288290289289290290289290290289289289288288288288288288288288288288288288288288289290292292293292292292293292291291293293289291290293294296291293292292292293293294294294294294297296295294296296295295294296295294293294294294293292292293293293293293293293293292293292292292292292292293294293293294294294295296295294294294294293293293294292294294292292292293292293293292294294294295295296296296296296296296296296296294294294294294295295296295294294294296294294294293293293293292290289289287287287285286286287288288290291292292293293294294294294294294293294294294294295295295293292293295295295295293294294295296295296296297296297296297297296296296296295295295294295294295295295295295295296296296295295295295296296295296295294295296295295295295295295295295295296297298298297296295296296295296296296296296297297296296296296296296297297297297297298297297297296297297296297297298297297297296295295296295296295297295296297298298298298299299299299299299299299299299298298298298298299298298298299299299299299299299298298298297297296296296297296297297297297297297297298297297298297297297297297297296296295295295296296295295295295295295295295295295295296296296295296295295295295295295295295295295296296296296296296296296296296296295296296296296296296296296296296295293294294295295295294295295296295294295295295296296296296296295295295295295295295295295295295295295295294295295295295295295296295295295295295295295295294294294294294294294294295295295295295295294295295296295296295296296295295295295295295294295295295295295297295296295294294294293295294295294295294294295294292294293292293293292293292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299299298298296297296296297296297296295295295295295295294294294294294294294294293293293293293293293292291289289288288289288289289288288288289289288287288288287288288289289288288288288288288288288289289290290292292289290290290290290290290290290289289288289289289288288287288287288287287288289288287287287288288288288288288287289288287287286284283282285289285288287288286285286999999999999999999999999999999999999999999999999999999999999291292292292293293292292293294294294293293293293292292292293293292291291291291290290289289289289290290290291290290290288289289289288288288289289289290289289289288288289289288288288288287288288287287288288288289288288288287288289290291292292292292293292291291292291289291291295292293289291291292292292292293293293294294295294294296295295295294295295295294294292293293292292292292292293293293292293292292292293292292292292292292293293294293294293294294294294295294294294293293293292293294294291291291293294294293292293294295295295296295295296296296296296295295294293295296295294295294295294294294291293293293293292293292290290288287288288289285286287288288289290292292293293294294293294294294294294294295295295295292295295293295295295295295294294294295296296296297297297297297297297297296296295296295295295295295295295295295295295296295295295296297298296294295294295294295295295295295295295295295295296298298298296295295295295296296296297297296296297297296297296296296297297297298298297297297296297298298297296298297297296296296295296295296296296297297297296298298299297299299299298299299300299300300299299298298298298298298299300299299299299299299299298297297297296297297297297297297297297298298298298298298298297297297297297297296296296296295296296296295296295295294294295296296296296296296296295295295295296296296295296295295295295295296296296296296296296295295296296296296296296296296296295296296295295296295296294295294294295294295295295295296296296295295295295295295295295295295295295295295296296295295296295295296296296296295296295295295295295294295295295295295295296296296296296295295296296296297298295296296297297297295295295295295295295297296297297295295295294294294293294295295295295296295293293293293293293294294293292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300298298297296296296296296296296295294294294295295294294294294295294295294293293292293293293293293292290289290289289289288289289289288289288288288288288287289288289289288288288288288288289289290289289290291290290290289290290290289290290290289289289289290288288289287287286287287286287288287287286288287286287289288287289288286285287286286285285286286287287284285286288286999999999999999999999999999999999999999999999999999999999290290291292292292292292293294294293293293293293293293292292293292291292291291291291290289289288289288289289289288289288289289289289289289289289289289288289289289290290290289289289289287287287287287287288288287288287288287287289288289290291293291290292291291291291292291289290291290292293291292292292292292292293293295295294294294295294295294294294294295292291292292293293293292291292292292293293292293292292293291292292291291293294293293293293294293294295294294294295294293293293291294295295292291292294294293293293294295295295294296295295296297297296296296295295295295294294294295295295294294294293293292292292291291291290289288286287289290286287286288288289292293293293294294294294294294294294294294294294295295291295295296296295296296295295294295295296297297297297296297297297297297297296296295295295295295299298294295295295295295295295297296295295295294295295296295295295296295295296295295295294297297297297296295295294296296296296296297297297298297297297297297297298298297298297297297297297298298299298297298298296297297297296297296297297297297299299298298298298299299299299299299299300299299300300299297298298299299299299299300300299299299299299298298297297297297297298297297297297298298298299298298298298297297297298297297296297297296297297297296296296295295295296296296297297297296297296296296296295295295295295295295295295295296296296296295295295295296296296296297296296295296296296296296296295294295295295294295294294294295295295296295295296296296295295296295295295295295295295295295295296296296296296296296296296297296296296296296296296296296296296296295296296296297297297297297296297296297298297296297297297296297297296295295295296296296296297296295295294295296294295297297295296294296295294294294294295295294293293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297301299299298297297296296296295295295294294293294295294294293294295295294293293293293293294293293292292290290290290290290290290290290288287288288289289290288289289288288288288288288288289288290290289290289290290289290290288289289289289290289289289289288289288289288287286287287287286287287288288288287289288288287290288289288287287286285285284286289285287285999288285287288999999999999999999999999999999999999999999999999999999999290292293293292293293293294294294294293293293293293293292293293293293292292293292292290290289289288288288289289289290289289288290290290290290291290289287289289290292291291291290290289287288288287287287287288287287287287288288286287287290290291291293292290292290291291291290292292291290292292293293292293293293293294294294294293294294294293293292292293293291292292292292293293292292292292293293293293293293293292291292292292293293292293293293292293293294295294295295296294293294292292292293292293294292294293294293297294297296296296296295296295296296295296296295295294295294295295296295295295293294293293292292293291291291290289288289289289291291287287287288289291292292293294294295294294294294294294294294294294295295295295296296295296296296293294294295296297297297297296297297298297297296296296295295295295295298296297298295295295295296295298297296295295296296296296295295295295295295294295295295295297298297297296296295294295296296296296296296297296297298297297298298297297297298298298298298298298298298297298298298297297298297297298296297297300300298298299298297298298301300299299298300301300300300300298299298299299299299299300300300300299299299299298298297297297296297297297297297298298298299299298298298298298298297297298297297297297297297297297297297297296296296296296296297297297297297296296296297297295295295296295295295295296296296296296295296295296296296297296295296297296296296296296296296295295295295295294295294294294295295296296297297296297296296296296296296296296295295296296295295296296296296297296297296297297296296296296295296297296296296296296296296296297297297297297297297297297297297297297298296295297297296295296294296296296296296297298294295295296296295296295295296297297296295295294295294294295294294294294295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298297297297296295296295294293293293293294294294294294293293294293293293293293293294293293292292291290291292292290290290290291289289289288289289289289288288289288288288288288289289289289289290290290290290290289289289288289289289289289289289288288289288288287287286287286287286285286287288288289289288288287287288287287287288289288287286284284287287288999999286288292279999999999999999999999999999999999999999999999999999999289292293293293294293294294295295294296295294294294294293293294293293292292292291291290290289289289289289289288289288289289288289292290291292291290289289290290286292292292291291290290289289288288288289290288288288288288285288287290290290291295296294290289290289290290291291292293293291291293293292292293292293293294294294293295294294294292292292292292291290290292292292292291291292293292292293293292292292293292293293292291291291292292292292292294294293297297295295296295294293293293292292290292292292291291294294296296296297296296296295295296296296295296295296295296296295296296296295295295293293294294292292293292292291290290289289290290290291290287287289289290292292293293294295294295295295295294294294294294294294295296296295295296296296296294294295295297297297297297297297297298297297296296296296295295295295295297296295296296295295295296297296295295296296296295295296295295296295295295295295296298298297297296296296295295296296296296297297297297297298297297297297297298298299298298298298298297297298298299298298297298296297298299300299299300300299299299299299300300299299301300299300301300300301300300298299299298299299300300300300300300299299299298298298298298298298297298298298298298299299299298298298298298298298298298297298297297298297297297298298297297297296296296296297296296297296296296297296296294295295296295295295295296296296296296295295295295296296296295295296297297297296296296296295295295295294295295294293294294295295296295296297296296297297296296296296296296296296296295295295296296297297296296297298297296296296297295296296296296297296296296296296296297297297297297297298298297297298297298298296295298297295296297295296296296297297296296295296297295295295295294294295295295295294295294294294294295294295296294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297298297297296295294293293292292292293292294293293293292293293293293292294294294292292292292292291291290290290290290291291290290289288289289288288288289289289289289289290290289289289290290289290290290290290289290291290289289289290288289288288288288288288287287286287288285287287287287286288288287287287288289287288287288287286288287287289287287288999999287281284284999999999999999999999999999999999999999999999999293292292292293293294295294295293295296296296294294294294294293294293294293293293293293292291289289290289289289289290289290288288288290291290290291293292290290291290286287288291291292291290289290289289289289290290294290290288289289289288290293292290291294288288289293291291290291291293292292292292291291291292292293293293294294293293294293293292293292292292290291291291291291291290291292292293292291291291291293294293292291293291291291291291291292291293294294294295295295296296294294291292292292290290292293291294294294295295297295295296296296296296296297296295296295294296296296296297297296296294294292294293293293292292292291290290289289289290290286286287288289290290291292293293294294295295295295295294294294294294295294295296296296296296296297294295294295296296297296297297297297297298297296297296296296296295295295295295297296296296296295295295296296295297296296296296295296296295295295294294295295295298296295297295295296295295296298297296297296297297298297298297297297297298298298298298298298298298299298299298299298299298298300300301300300299301299300299300299301300300300300301301300299299300300300300300299299299299299299300300301301301300299299299299299298298298298298298298298298298298298298298298298298298298298298298298297298298298298298298298298298298297297297297297297297297297296296297297297295295295296296297297296296295296296296296296295295295295295296296296295296297297297296296296296296296296296295296295294294294294295295296296295296296297297296297296296297296296296296297296296296296296296297296296297297297297296296296296296296297296297297296297297297296297298298297298297297298298297297297297299298295295295296295296295296294295296296296294295296296295295295295296297296295296297297295295294294295295294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295295295295294293293291291291291292292292292292292292292292292293293293293293292291293293292291290290291291291290291290290290291288288288288288288289289289290289290290290290289289289290289290290289287288290291291290290290290290289288288288287287287287287286286286287287287287287286286286286287289288288289289289289289289286286286286285287287288999999999287286999999999999999999999999999999999999999999291291295295295294293293294294294294294295295297295296295294294294294293293292293293294293292292291290289290290290290290289289288288292289292290291288294293295293292290290289290288291290290290289290289289290289289290290289288292292292291290293290289294291287293287289290290291291291291290292292293292291290291291291292293294295295295294294294293293293293293292292291291291291290290290291290291290291291292292291291293292292293289289293291292292292292294293295293293293294294294294294294293296293294293292294292290292293294294294295297298294295295296296296296296296296295296297296296298297296296296297295294295294294293293293293293293291291290289290289290290291291290289289289290291292293294294295296295295295295296294294294295294294295296296297296296297297297295295295296297297296297297297297296297297297296297296297296296296295295295296296296295295296296295295296297298297297297296296295296295295294294294295295296295294295297295294295296296295296297297298296296296296297297297297297297298298298300298298298298299299299299299299301300298299301301301300300301301300300300300299301300300300301302301300299300299300299300300300299299299299299300300300300300301300300300299299299298298298298298298298299299299299298299299299299299298299298298298298298298298298298298299299299298298297297296297297296296296297297297298295295296296297297297298297297297297296296296296296295295296295295296296295296296297297297296296296297297296296295296296296297295295296296295295295295296296296296297296296296297297296296296296296297297297297297297297297296297296296296296296296296297297297296297296296297297297297297297297297297298297296296298298298297297296297296296296296295298296296294297294296295296296295294297296297295295295296296295295295294295295294294294295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294293294294292292290290290291291291291292292292292291292293293293293293293292293293293293292291291291291291290291291290290289288288288288288289289289289289289290289290289289289290290290289290289289288291291291289289289288289288287288287286286285286287286286287286287287288288288286285286286288289289289289292290291288287286287288289289287288999999999999999999999999999999999999999999999999999999292291292291293292291290293294294294294294295296294297296294294294293293292292292292292291292292294294292291292291291290290292291291294291287294289290289290292291291289290290290291291291289290289289290289289289289289289290291290290289289288290294293287290290288289292289289289291291291292292292292293292292291291292292292293292293294294294294293292293293292291291291290290291290293289289290289290290290290290289291293292292292290291291291290290293291291292296294292292293294292293294294294293293292292293293295293291293293293293294294299295298296295295297296296296296296296296297296298297298297297295296296294295295294293292294293293293292291290290289289289292291292288288288289290291293293294295295296296295295295295295294295295295295296296296297297297297297297298295295296297296296296297297297297297297297296297297297297296295296296295296296296295296296296295296296298297295297297296295294295295294294294294294296295295295294294294295295295296296295296297297296296296296296297297297297298298298298299299298297298298298299299299298300301300300300301300301301299300300300301301301301300300303304302301300300301300299300300301300300299299300300300300300300300301301300300299299298299299298298299298298299299299299299299299299299299299299299299299299299299299298298299299299299298298297297296297297297297297296297297298296295295295296296296298298297297297295296296296296294296295295295295297297297296297297297295296295296295294295296296296296295295295295295295295296295296296296296297297297297298297297297297297297298298297296297297296297297296296296296296296296297297297297296295296297297297297297297297298297296298297297297297297297297297297298298295295296296298296296296295296296296296296296295296295296296296296296296296296295295295294295294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293292292293293293292291290289290290291292292292291291292292292293292293293293293293292292292291291292291291291291291291290289288287287288288288288289289289289289290290289289289289289289289289288289289290289290289289289288288289289288287286288287287287287286286286287286287287287288289286287287289287288289288287288287286283286286287287287289288999999999999999999999999999999999999999999999999286288290288292291290290291292291293293294295294295295296295294293293292293292292291292293292291292293294293292293293292292290296292291292290289291292288291291291293291289289290290290291291291288289289289289289289289289289290290290286293289289287285287287288290290288286290289291291292290291292293293292292291292292292291292293294293291291294294292293293292292290291290289290291290290289289290289289289290289290292290293293291292291290293293291290292291291295294293295294293293294293294294293297297295293293296290293293290293293293293292293294294293292295296296296297296296296296297297296296297296297295295294295296295294294293294294294293293293290290290289291290290291288288289289290291293294294295295295296295295295295295295295295295296296296297297297297298297297298298297297297295295296296297297297297297297296296296296296296295296296296296296296296296296296296296296296296295297296296297294294294293293293293294295297295295294295295294295296296295295296297296296295296296296297296296297297297297297298298298297297298298299300299299299301300301301300301301301300301301300301301302301301303304304305302302301300300300299300300300299299299300299300300300301301301301300300300299300299298298298298298298298298299299298299299299299299299299299299299299299299299298299299298299298298297297296296296297296296296296297297296295295295295295295296296297297297297296296296295294294294294294295294295295295295297296295296296295295295294295295295295295296295294295296295295295295296296296297297297297298297297297298298298297297297297296296296296296296295296296297296296296297297297296296296296297297296297297296297298297295296297297296296297297298297297299296296296297297297296295296297298296296296296295296296296296296296295296296296296296298294295295295294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291292292293292291291290290289290291292293292292292292291290292293293293294294293293293292292291291291291291291291291290289288288288287288288289289289289290290289290290289289289289289289289288288289289289288288289289288287287289288287287286287286285287286287286286285286286285286288288285287289289289290287288288287287284285285284283290290287999999999999999999999999999999999999999999999999999286290289292293291289290291293293294294295295295296295294293294293292292292291291291293293293291292292293293292292292292293292291292292293290289295290292291292291290289290289290290290290290289289289289289289290289290290289290290290289288287287288285286287290288293292291291291291291291291291292293292291292292292292291292293293293293293293293293291294291291291291289289289290290290290291288287290290288289291293293291292291293292292290291290291290291290293291291293294293293294295294295296294294296293294290291293293289293293292291293293293294296294294296296295295295296296296296296297295295295296295295294293293294292293294292293293294292292291292293293292291291291292288289289290291293294294295295294295295295295295295295295295296296296297297297297297298297297299299298298297295294295296297297297297297296297296295296296296295295296296295296296296296296296296296295295296295294295295296296294294293293293294293293295294295294297295295295295296295295296296295295295296296296296296297296297297297297298298297297297298298298298298297300301301301299300299299300301302301300301301301301301301301303299300300299300300300300299299299298298298298299300299300301301301300300300300299299298298298298298298298298298298297298298298299299299299299299299299299298298298298299299299298299298297297296296297297296296296296296296296295294295295296294296296296296297295295296295295294294295295294294294294295296296296294294295296295295294295295295297296296296296296296296296296296297297297297297297297297297297297297297298297297296296296296296295296297297295296296297296297296297297297296296297296296297296297296296296298297296296298297297297298298299297298297296297296296298297297296296298298296296296296296296296296295295295295296295295295296295295294295294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292293293291290290291291291291292292293291292292291290291292293294293294294294292292292291291291290291291291291291289289288288287288288289288289289289289289290289289288288289289289288289288289289289288287289288286287287287287286286286286287286286286286287285287287287288289288287286287291288288290289289289286286284285285285284283290284999999999999999999999999999999999999999999999999999289289290290291291291290291292292293293293294295295295294293293293292293292291292292292292292292293293292291294294293294293295293292293293293288288290291291292291289290289289290290289290290290290288288289288289288289289289290290288287287286283283289289291291290291292292292292292292291292291292292292291292291291290291290291291292292293292292291290291291290290289290289289291291291291290289289290290289291290292292292291292289292293293291292291291292291291291291291291292292292293294294295295294292292291293294294294294295293292295294295295295295299294295295295295295295296296296294295296297296296294295295293294294292294294293294294293293292290290291292292292291290293289290290290291292294293294294294295295294295295295295294295295295295295296297297297297297297298298298297297297298298294294295296296297296297296295295295295295295295295295295296296295295296296294293294295294296293294293295296293293295294292293295293293295297295296295295296295294295295296296296296295296296296296296296297297297297297298297298298298298297299299299301301302302299299298299300301301301300301301301300301302304300299299299299300300299299299299298298298299299299299300300301301302300301301300300300299299299298298298298298298298298299299298299299299299299298298299298298298298299298299298298298298297296296297297298298297297297296296295295295295295295295295295296296295296296296296296296295294295295295295294296296295295296294294295296295295295295295295295295295295296296295296296296296297296297297297297297297297297297297298296296297297296297296296296297297297297297297296297296297297297297296296297296296297297296297297297297295297297297298298298296295296298297296295296296297296296297296296296295296296295296298296297296296295295295294294295295295295294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292293292291291291290291291292292292292291291292291291292291292293293293294293293292292292291291290290290291291291289289288287287288288289288289289289289288288288288288288288289288289289289289289289288288288289288286286286286287288287285287286286286287287286287288287286285287287289292289290289291289290289289283285284283287286288281286999999999999999999999999999999999999999999999999284289285289290285290289288291292293292292293294295294294294294294294292293291293292293292293291293294292293292293291294293292294295293293294292294294291291291290290289289289290289290290290290289289288288287288288289290289287287289287286285284282285292289290290288291291291292292292293293292291292292291291291291290290290291291291290292292291291290291291291289289289289291291291291290290288289289290290290290290291292290293291288291289292293291291291291291292291291289289291292293292291294294294294294293294293294294293293294297293293294297295294296293294294296296295295295295295296295296296296296295295295294294295295294294295293294294293294294293293292293292292292292293292290291290291292293293294294294295295295294294295295295294294295294295296297296297297297297297298298298297297297298298295296296297296297296296295295295295295294295295296295295295295295295295296293294297293296293292298291293295293293295296295295294297296296295296296295295294294295295296296296296296295295295296295296297297296297297298298298298297297296297299299301301302300298299298299301301301301300301301301302301301301299299299299299300299300299299299299299299299299299300300301301301301301301301300300299299299299299298298298298298298299299299299299298298298299298298298298298298298298298298298298298297297297297297297298298298297297296296295295295295294295296296295295295295295295296295296295295295294294295296296296296296296295295294294296294294294295296296296296295295295295296296296297296296296296296297296297297297296297298298298297298297296296296297296297297297297296297297296296296297297297297296297297298297296297297296296297296296296296296296299296296296297298295295296297297296295295296296296296296295297296296296296296296296296297295295295294293294294294294294295293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292292292292291291291291291292291291290291292291292292292292292292292293293293293293292291291291290290290291290289289288288287288288288287288288289289289289289289288288288288287288289290289290290289288288288288288287285285285286284285286285285285286287288288287286284285291289292291290289288288290291289289288286283285288286288289284999999999999999999999999999999999999999999999999291289290287296288289289291291290292293292293293294294294294295296295295295295298293294294294294295294294294296294294293295293296294293294294288291289291290290289289288290288289289289289289288288288288289288287287288289287288289287286286286291289289289290289290289291290291292292292292292292292292292291291290290290290290291291291291293291292291290291291290291290289289289291289291290291290292291287289290290290288291289291288292292293292293294289290290291292291291291290291290291294293292294293293294294294294293294293292292292291293293290298294300294295296295295296296295294295295295295296297296296296295295294294295295294294293293293293292292292293292293292292292292294292289290290290292292293294294294295296295294295295295294294295295295295296296297297297297298297297298298299299297298298296295296296297297297296295295295295295295295295295295295295295295295295298293294293293293293297294295294296296295294295296296294297296296296296296295294295294294295295296296295296295295295296296296297297297297297298298298297297297297299299301301301300299298298299300300300301301300301301302303301301299300299298299299299300299299299299300298299299299300300299300301301301301301301300300299300300299299298298298298298298299299299299299299298298299299298298299298298298298298298299298298297297297298297298298298298298298296296296295295295296296296296296297295295295295295296295296295295295296296296296296297296295295296295295295295294294295295296296296296295295295296296296296296295295295295296297297296296296296297298297297297296296296295296296296297296295296296297297296296297297297296297297298298298297297296296296297296296296296296297298295295296296295297295296295296295297295298297296296295296297296295294295295295295295295295294295294293294294294295294295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290288292292291292291292292291291290291292292292292292291292292293293293293293293292292291291291290290289288288288287288287287288288288288289289289289289288288288288287288289289289289289288289287288288288287287285284285285284284284285284285286286286287287285287289290289292291290289289291291290289286288288286283287287288290286999999999999999999999999999999999999999999999284288290291296296289288290290290290291295291292293295294295295299296297296296294296295295297296295297296295295294295293294295293290290293296296293292290290290290289289290290289290289289289289289288288288288288289289288287289289288288287287285290291290291290286288288289289290291291292292293292291291292292291290290290290291291292292291290290291290291291291291290291291290290290292291291291292291289290289288287291290290292289287292288290293291291293291291292292291292291291292292291293292292292293293293293295294294294291294294293293294293293293293295296296294296295295295295295295295295295296297297297296296296295294294294294294294294293294293293293293292292292293290291294292292290291290292292293294295294295296295294294295294293293295295295296296297297298298298299298299298299299299299299298295296296297296296296296296296296296296295296295295296295295295294295293295293293293297296295295296294293296294295294295295295295295295296296296297296295296295296295295295295295295294295296296296296295297297297297297298297297296297297298299300301297298298298298299300300300300300301303301301301300300299299299299299298300298299299299299299298298299299299299300299301301301301301300300300301300300299299299298298298298298298298299298298298299299299299298298298298297299298298299298298298297298297297297297298297298298297297297296296295295296296296296296296295295294295296294295294294294295295296296295296295295295295295295295295295294295296296296296295295295295295296296295295295296296295295296297297296296296297297297298297297297297297296296297297297297296296297297298298298298298298297297296296296297297297297297297295296296295297297296296297297296297296296296298296295296296296296297296296296295295295295294294294294294295295294295294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292290291292290291292291292291292292292292291291292292292292292292292292292293293293292292291291291291290289289288288288288288288288288288289289289289289289289289289288288287288287288288288287287288287287286285285285285285285284285284284283284285287288285286289289289290289286291290289288288290291289287285282288288288288290289287999999999999999999999999999999999999999999292296301299292294290289291290288289290290289293293294293295294298294295295294295294294294294294296296296296294293296295293294292293288295294287287290289290289289289290290290289289289289290289289289288289288289290289290290288287291286287291290291292291290291291292291292289289290291291291291291292292292291290289291289290291291292293292291291292290291290291290292290290289289290291291291291292290290291291289288287288290290291291289292292291289290290289290291291291291291291290292292290293293293292291295294294294294293293293293293292293293293292293294295295295295295294295295294294295295296296297297297296296297296296294292294294294295294293293294293291289295290293293291292292293293289292292293294295294294295295295295294294292292294295296297297297297298298299299299299298298298298299299298299298292295296296295295296296296296296295295295295295295294295296294293298297293293294296296294294292291294296294294294295295295294295295295296296296296295295295296296295296295295295294295295295295296296296297297297297297296296296297298299298300298298298299298298300300299299299300300302302300300299300299299299298298298298298298299299299299299299299299299299299299300300301301301300299300299299299299299299299298298298298298299299298298298298299298298298298298298299298298298299298298298298298297297298298298298298297297298297295296296295296297297298297296296295295295295295295294294294295296296295296296296296295295296295296296296295295296296297297296296296296296295296295296297296297296296296297297297297297297298298298298298298298297298298298299298297298297298298298298298298298298298297298298298298298297297297295295296295294295297297297297298296296296295296294294295296295295295295296296295295296295294294294294294295293294294294294293293293293293294294293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293291291291291291292292291292293293292292292292292293292291291292292292292291293291292292291291291290290289289288288288288288288289289289289288289289290289289289288290289289288287287287287287288287286286286285285285284284285284284284284284285286287288286289287286286285286287286289283286288287282286287286282287288288287288291283999999999999999999999999999999999999999999999297302291289291289288290291291290292292292293293294293294292296296295295295294294294294295295295295295295294294295296295295292292288294290291291289291289290290289290291289289288288287287288288288288288288290289289289290286290290284285289293290291290291291292292291290290291291292291289291290291291290292291291291290289289288291293291291290289290290289289290288290289289289290290289290290289289289291289287287286288288288289291294291292290290290290288290291290290292291290290291291293293293296295293295295294295290292291294294294293295293294293294294293294294295294295295295294294295294296296295296296295296296296296295293294294292294294294294292294293291291292292290291292291293293293291292293293296295295294294295294294293290999293294295297297296297298298299300299299299299299298299298297298298294295296295297297297296296296295295295295295294294294294294293297297298293293292296296295292291290292295294295294294293294294295295295296296296296296296295295295294295295293294294295294295295295295296297296296296296297296295296296297298299296298299298299299300299298298299299299301302300299299299300300298298298298298298299299298299299299298298299299299299299300300301300300299300299299299299299299299299299299298298298299298298298298299299298297298298299299299298299298298298298298298297298298298298298298298297297297297296297296296297298297298298297296296296296296297296296296296296296296296296295296296296296296297296297297296297296297297297296297297297296296296296296297296297296296297297297297297297297298298298298298298297297297299298300299300299298298298297297298297297297297297297297297298297296296296296295296295297295296297299296295297295297295295295295295295295295295296296296296296295296296295294294295295296295294293294293293293294294294294293295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294293292291290291292291292292293293292292292292292293292292291292292292292291292292292293292292292289289289288289287288289289289289289289289288288289289288287289288289289290289289287287286285286287285285285285285285284283283284285284282283284283288288291289290287291290287289288284285285286286286284286290284284287288288289289284287999999999999999999999999999999999999999999291291290292297289290292291290290290291291293294294293293294295296294297296295295295295295296297297296296296297296296295296294295291290291294294295292292290290291292290290288288287288288286287287288288288288288288288287285284287286287289289290291290291290292291290291289290293290291290289290291290292290290290289290290292289285290290288291287289289290291291291288289288290290290289289288288289288293288288289290289290291292290290292290289291289289289294291292290291290291290290290291291291292293292292296295294293294293294294295296296296294293293294293294293295295295295295295294294295295295296296296296295296297296295294293294294294295290294294292292293292291291290291290290290292294290291292293295295295295295296294293292289292293294294296296296297298298300300300300299299299299299294297297298295296294295296297297296296296296295295295295294293294294293292295296298293293294296295294297293291294295294294294293293294294295296296296295295296296296295295295295295295294294294294294294295295295296296297297296296297295295297299298297298296298298299299298298299299299299299300300301300299299300299299299299298298297298299298298299299299300300300299299299300300299301300300299300299299299299299299300300300300299299298298298298299299298298298298298299299299298298298299299299298298299298298298298298299298297297297297297296297297296297298298298297297297296296297297297296296296295295296296296296296295296296296297296297297297297297297297297297297296297296296297297297296297297297297297297297297297297296296298298299298299298298297298297300299298298298297298297297297297296296297296295297297297296298297298297296296296295295296296295296296295297295295295295295295297295295294296296295295295295295296295294293295295293296296294294293293293292293294294293293295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293292291290291291291291291291292291292293292292293292292292291292292290290291292292292292292290289289288288289288289289289289289289288289289289288287287287287288288288288288287287287286285285285284284283285284284285285285285283283283283284283284285284287287284289290286286287283286283286285285286286287288288289288287288286282285999999999999999999999999999999999999999999999290289999999290290291289289291288290292288293293293293294297296297295297295295295295295294298297296297297297297295295294294294290294292295293293293292291292293292290291290289287287287285288287287287288287289286284286285285284286286290290293294292291291291292290290291292291291291290291291291290290289287290291291288290290288290289290289290288290289290290290287287287287289288289288287288289288289288287290290290290292291289290287289290289289289291291293291291292290291291291287291289291289289290292296294291294293293294295295295295295294294293295295295293293293298295295294295295295295295295296296295295295296297294294295293292293294294294294292292291292292293293292292291291293293291290292293294296295295296295295293292291293293295295296296296298298299300301300300299299299299298296297296297297296295294295297296296296295296295295295295294293292294293297295297296292293291295295294291290293294295294293293294293293295294296296296295296296296296295295295295295295294295295294294294295295296297296297297295295296296296297298297298299297299299298298298298298298298299298300300300300300299299300300300299298298297298299299298299299299299299299299299300299300301301301300299299299299299299298299299300300300300299298298298298298298298298298298298298299299298298298298298299299299299298298298298298298298298298298298298298297298297298299298298298298298297297297297297296296296295295296295296295296296297296297297298297296298298298297297297297297297297297297297297297297296296296297297297297297297297296296298299299299298299299299299297299299299298298298297297298297297297296296296297298297296295296297297298297296297296296298298298296297297295295297296295295295294295295296296295295295295295294295293294295295293294294294293293293292293293293293294293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293293292292290291290291290291291291291292292291292291292292291291291290291292292292292292291290289289288288288289289289289289289289288288288287288287286286287287287286287287287287287285285285284284284283284285284285284283283282284284286285285284285284285287287288290289290287286289285286287287286286285286286288288287289288286284999999999999999999999999999999999999999999999289293293999292291290287291292290290293292292292293294293295296296295295296297296295296296298297296295295296295293293295296293292291293293293292293292292293292291292291290290288288288288288287288290289289285286287290286287285285290293291290289291290291290289289290292292292293293290290291292291291287289287288290290290290289289289289288287288288290288289288290287287289290291290292291292288288290290291293290290292292290287289289291292290290291291292292292292290291290291291291290290291287292293292292295294294294294294296295295295296295295295295294294292292291294293293295295295295296296296296296295295295295296292292296293290290293295293293292292294295295295294294294293293291292294293290293294295294294295295294293292292293294295295295295296298298300300300299299299299300299297297297296297294296295294295295295296296296295295295295293293293291293293296296297297293292292295294294292291294293293291294293294293295295296296296295296296295296295296295295295294294294295295294295295295296296296296296296295295296295296297298297297298297299299298299298298298298298300298300300300300300301300299300299299298298298298299299298298298298299298299299300300300300300300300301300299299299299299299299300300300300300299299299298298298298298298298298298299299298298299299299299299299299299298298299298298298299299298299299298298298297297298298299299299298297298298297297296296296297296295296296296296296296296296296298298297296298298297297298298298298298297297297297297297296297297296296297297297296297297297297296297299298299299300299299299298299298298296296296296296296296297297297297297296297296295296296297297297297297296296296296296296297296295294294294295295295294295295296296296295295294295295295294295295293294294293292293293292292292293292293293293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293293292293292291290291291290291291291290290290290291291291290291291291291292292292292290289289289289289289289289290290289290289287286288286286287287286286287286286286286286287287287286286285283284283284284283284284283283283284284284283285285286286286288289288287289290288287288285286285288285285287287281286287287287288288291288286999999286295295999999999999999999999999999292294999287289286290290289290292296292292292293294294295296296296297297297297295296295296296296297295294297289289297297296295293292292293296294294292293294293293291291290290288289289289288289290289287289288288289290287286291293290292293288288289288288289290290290290292291290290291291290288288288287289290289289288288288287288288288288289289289287289290289290290291291289291290290291289288291289290289289290290289289289290288292291289293292291291292292290292292290292293290288293291289291293294295291294292295294295296295294296295295295296294295292292291291292293293293299295295296295295296296294294296295293295294294294290292293293291291291293294295291295295294293294294292293292293290292293293295294294294293294293293294296295293295296298298299299300300299299299299299298297296296297297292294294295295295295296296295294295294294293293292296292292296296297296292291292291297295292294293294292293293292294292294295296296296295295295295295295295295295294294295295294295294295295296296296296297297295295295295295296297297297297298297298298298298298299298298298298299300300300300300300299299299299299298298299299299299299298299299299298299299300299300300300300300300299301300299299298299299300299299300299300300299299298298298298298297298298298298299299299299299298298298298298298298298297297298298299300299299298298298298298297297299299298298299299298297296297296295296295296296296296296296297296295297297298297298297298297296297299298298298297297297297297297297297298297297296297297297297297297298298300299299300300300299300300299299299298298297297297296296297297297298298297297297297297296296296297297297297298296296297296297297295295294294295295295295296295296295295296295294294295294295296296295295294293293293294293293292292293293293293293292293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293292293293291291291291291291292291290290289290290290290291291290291291291292293293292291289289289289289289289290289289289290290288288288286287287287286286286286286286286285286287288287287285284285284283283283283283283282282283282283282285285285286286288288287283288287287287284285285285290288286286287287286286285286286285286286285999999999284289287999999999999999999999288289291999288288288290291290290292294294292294294294295295296296296296296297297296295294296296296297295295296295293291295294293293291292292293296293293294294294291290288290290291289288290291290290289292291294294289292290285293289290293288287287287288290290290291292292293291289289291291290288288289288288290287289288288287289287288287287287288290289293290290290291287291289291288288289287290291290289289287288290287289289291288291291290290292291291291291292292292291292291290288290290291291294295295297294295295297299294296295296296295295294294294293293291291292294293294295294293294295297299297295295294292292294291290290291294291290291292294295293293292294295294296292295293292293291290291292294294293294295294293294294296295294293293295297298300298299298299299298298298298297296297293293297298294295294294295295296295295295295295294294297296296295296296296296291292291290297296293295293291291292293293292293295295296296296296296295295295296295295295295295295294294294294294295295296296296297296296297296297295297297297297298298297298298297297298298299298299299299300299299299300299299299299298298299299299298299299299299299299298298298299299299300300300299298299299299300298298298299299298300299299299299300299299298297298298297298298298299299299299299299299298298297298297297298298297298298298298298298299298298298298297297298299299299299299298298297297298297296295296296297297297296297296296296297296297297298298298297297298298298297298298298298297298298298299298298297298298297297298298298299299299298299300300300300299299299299300299301298297298297297297297297297297297296297296297296297298297297297297298296297297296298298296295295295295295295296294297297295296297296295294295295295297295296294293293293293293292293292292292293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292293292291290290290291290291290289290290290290290289290291291291291291292293293292291289288289290290290289290289290290290289288288288287286287287286285286287285285284286287288287287287286284284284284284283284283283283283283283283283285287287286287288285287288286285283284284285285286285287287286287287286286287286289289289287287285999999280287287288999999999999999999286289290290289288289292290291292294294295293292292293294295295295295295296297295297295296296295296296293298294292294293293292294293291293294295296292292294292291289289289289289289289289291289289290291291290295289286292284289290292292287287287288289291291290289290291291290289289289290288289288288289289289288287287287286288288288288286287286287287289289291290290287288290288288287288289288292290290290289289288291290290291290291291291289293288290290292291291289292290290290290291290290292292293296294295295297297296296296297297297296295292293294294293293293295293294292291293296294295295296296295293294293293291294290293291291292291289289292294295293294293293295294294292292291291292292293290291292293292294295295294294295296293292293293296297298299298299298298298298298297297296295297293297297298294295295295295295295295295295296294294293298296296296292295295296292293293292297293294295291291292292292292293294295295295296295296295295295295295295295295295295295295294295294294295295295296296297296296296296297297297296297297296296296297297297297298297297299300299298300300299298299298298298298299298298299298298299299299299299299298298298299299299299299299299299299299299299298299299298298299298299299299299299299299298298298297298297297298299299300300299299299298298297298298297298297298298298298298298298299298298299298298298298299300299300298299298298298298297297297298298297297297298298297297297297298298298297297298298298298300300298298298298298298298298297298299298298299298298298299300300300299299298301301300301299299299299299301301298298297297297297297297297298298298296298297296296295296298296297297298298297297296296297296294294293295294295295295296296295296295295297295295294295295293295295294293293294293293293292292293293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292292291292289291290289290291290290289290290290289289290291291292291292292292292291290289289290290290290289290291291291291290290289288286286287286286285285285286286286286287287287287286285284284284284284284283284283284284282283285286284286287287286288286287287286288287288287288285286285287287286286286287287287293292293293288289288999999283293289999999999999999999999288290291289289290290290292292293296296295294294293293293294295296295296296298296295294295296295295297297296295294293296293292295293293294296295297293291293291290289290290289290289291289289292291291293294288288284291291287289284285288288288289288289290290288288289289289289288289290288288289288289289287286287287286287285286286287286287286287284286286288288291288287286286288289287288287289293290290289289289288291290289290292291290287290290291291291292288291291290290290291292290291291293293293294295294296295297297296296296296297296295295294293293294293293295295295292292292294294294296295295293294294293294290299293293293293293294290291292293294293293293294293287289290291291293292289291292290291293294293296295294294295296294293294295296297297299298298298297298297296295296296296296292293293294294295295296295295295295295296296294294294298296292292296296295292292292292290295295294294291291292292292292295294296295295296295295296295295295295296296296296295295295294294294295295295296296296296296296296296297296297296296297296297298297296297297298298298299299299299300300300300299298299299299299299299299298299299299298300299299299298299299300299299299299299299299300300300297299298299298298298299298299299299299299299298297298298298299299299300299299299299299299298298298298298298298298298299299299299299300299300299299299299300300300300300300298299299299298299298299299299299299299299298298298298298299299298297297298298298298300299299298298299299298297298298298298298299298298299299298300299300300299300300299299299298299299299299299298299298297297298297297298298298298297296296297298296295296297296296296297298297297296297296295295295295294294295295295296296296296296296297296297298295295296296295295294294293293293292293292292293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292292292291290288290290290290287288288289289290289290290290290291291291292292291290289289289290290289290290290290292291290289289288288288288287286285285284284287286286286286287286285283284285284285283283282283285285286287283286284286285286286288290289289286288291289293287287286287288286285289287287288287287289289288291285287284288286286286288999999999999999999999999999291292293293293293294291292294297296297296294293292294296295295296296296297296297296297297297298297297296296295295293295294294293296295294292293293294291294291291291290290290292292290290291293294294290291287287287286287287288285287289288287287289288289287289287288289289289288287291289289288288287287287287287287285287286286286288289286288289287287287288284286285284286286286287289288290292292291289288292286291291288291292291290291292292290291290291291294291291290291291290292292292292293293294294294296296296296299297296293295295295295294293292294293294293293295293293293293292294293295295294295296296294294294295293293294296295291290291292292291292294294294290292290295290291293292290292291292291292293295295294294295296295295296297297297298298298297298298298298296297297297296298298299293294294295295296294295295295295295296295295294293296295297296296296292293292292292296295296291290291292293292293296295296295295296296294295295295295295296296296296296295295294294294295295295296295296296295296296296297296297297297296297298296297297297297298298298299298299299299299300299299298299299299300299299299299299299298299299299299299299299299300299299299299299300300300300298298299299298299298298299299299299299299300299298298298298298298298299300299299299299299298298298299297297298298298297299299299299299300299300300300300299300300301299302300301300300299299299299299300300301301301299299299298299300298299298298298297298298298299299299299298298299299298298298298298297298298298298298299299299300300300299299299298299298298299298299298298298297297297298298298298299298298297295295295295296296296296296296297297297297296296297296294295294294294295296295296295295294294296297294295296297294295294294295294294295294293293293293293293293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291292291290290290289290289287286286287289290290290290290290291291291292291290290289288289289290290290290290291290291290290289288287287286286286285284286285286285285283285283285285283282283283284284283284284284283284284285286285285281282287286288286287289287288287293288287287286285287286286288287288290290291288278287287286286287288289286288999999999999999999999999999999290292295294295295295999999999999295294294293293294294295297297297297297298298298297297296295297295295296296294296295292293293292294296297292293295296293291290290291291291292291289291291289291292289287287287289288286286286286283288287286288288289289288286287286289287289289289289287288288288286285285286288287287287287285286287287288287288286288288289287287286284287285286285286289290290290289290289288287289292292292291291291291290292292290291291291292291290290293291291291291292292292293294293295295296296295296296297294297295293294297293293293294294293293294293291293293294292295293295296296295296295295292293293294295294296296293294293294293292294297292291293291290291290291293293293292293291291292291292293293293295296296295296297296297296296298298298298298298297297297296296298298300293294294295295296295294294294295295295295295298297297297293297297295293294293292293292292293291291292293292293293293295295295295295295295295294295296295296296296296296296295294294297296295296296296296296296296296297297297297297298297297297296297297296297297298298298298299299299299299299299299298299299300299299299299299299298300299299299299299299299299298299298299299299299299298299299298299298298298299299299299299299299299298297298298299298298299299299298298299298298298297297297297297298297296297299299299299300300300300300299300301301301300301301301300299300298299299299300300301300301301300299300300300298298299299299298298298298299298298299299299298298299298298298298298298298298298298298298298298300301301299297299299299298298298298298298297297297296297298297296296296297296296295295294295296296296297297296297299297297297298298297296296295295296294295295295295296297295297297295295297297297295295295295295295294294293293293294294293293293294294293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291290290290290289289289288286284285286287289289289290290291291291291292291289289288287288289290290290289289289290289289289289288287287285286284284284286287284285285281284284283283284283282282284283284283283283282283283282284285284285288286285286287290290290289288288287285286287284283283284287288287289287290285285286287286286286287290289999999999999999999999999999999999291293296292293294999999999999999999294294294294292293294297297297297298298298297296297295295296296297295295296295294294293293294294292291291294295293290289291291291291293291288288291293290292287286285286285286288286284284286285286286285283286287287285285288289288287288288288288288287287286286285285285285286287286286286285286285287288288288288287286287287287285286285288286288289290290289288289289289291291288288293292291291291292291293292292293292291292288290293291292291291291292292292293293294293296296295295295294295296296295294295294294294293293294292293296294293293292293295295295295295296298295293293293294295294294296296294296295293292292295294293292289290292294293291294294293292292292291291290292293293294294294295295296296297298297297297298299299298298298297297297296298297298298298297293295295295294294294295295296295295298298296297296297293291294295294294293292292292292292294292293293293293296295295294295295295295294295295295295296296295296295295296295296296295295295296296296296296296297296296296297297297297297297297297297297298297297299298298298298298298298299298298299299299300300300299299298299299299299299299298299299299299299299299300299299298299298299300299299299298298298298298298299298298298298298297297297297298297298298298298297297297297297296296297298297296298298299298299299299299300299299300300300300300301300300299299299299299299299300300300299300300300299299299299299298298299298298298298298296298298298299298298298299298298299300301299299299299298299298298298299298299298298298299299299298298298298297297297297296297298297298296297296297295294295296297296297296296296296297298298297297297297297296296296296296295295296297296295295298296298296295295297297296295297297298294294294294294293294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291288288289289289288287286283284285288288289289290290290290291291290289288288287289289289289290289290290289289289289289288287287287286285284283285286284284284283283285284285282282283283281284283283282283283283283283284284284285288288287288289288287291288286287287282284285287286287281286286288287288287287287286285286286285286287289288999999999999999999999999999999999999288297292294999999999999999999999999295294294293294295296299299297297296297297297300296295296295292295295295295293293292292297292293294296291291291291288288288290289292290288285291289288288291289288285284286283285285285285285284282283281282285287287288290289288287286286287287287287285284284284283284283285286287285285286287286286286287287286286285288286286286289287287288288288288288290289290291291291291288292292291290289290291292292292292290291290291292290291291292291291291291292293293291293294294297295294293295295295295294294294295294294294294293293295294294295291291293294294294300296295297294291293291292292294294295295294294293295291291294294293291292293288292295290294293293292294290291292291293293293293293293293294295297297298297297297298298299298299299297296297297297298298298298297297293294293294294294295295295295295296294297298297298293292294295294293292292292291292292293292292293292293296295295295295294295295295295295296296296296296296294294296296296296295295296295295296296297296296296296297297297296296297297297296297296296297297297297297298298298298298298299298298298299299299299299298298299299299298298299299299299299299299299299299298298297297298299299298299298297297297298298299297297298298298297297297296296296297296296296297296296296296296297297297298298298298299299298298299299300300299299300301301300300300300300299299299299299300301300300299299299300300299299300300300299299299299299299298299298299299299299299299298299299299300300300300300300300299299298298300298298298298298299299299299298297298298297297296296297299299298298297297296296296297296296297296295294296297297297298297298297298297297296296296295296295295295297296294295295297297295295295296296298296296294295295294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292291291288288288289289287285285285285288290289290290291290291290290288288287286287289289289289289289289290288290288286287287286286285285286285286285285284284284283283284284283285284285283283283284283283283282283283282285284286285288289289291289291289286287285285287286286288285287288288288288288288288287287286287280286285285286287288288999999999999999999999999999999999999999999292294999999999999999999999999999293291999294295298299295297297999999297298299296295296294293292294295294293294292291292292292293293291290292290293291286289291290290289293289287287284288290286284285284283288286286284286286281282282283287287288288287284287286286286285285285285284283284285285282284284284285286286286286286284285285286287287287287286286286287288287287288288287287288287291288292290291288290290289290290290291290292292291291291291293292290291291291292292291291291293293292293296296291293294294294294294294294294294294294295294293294293294294294293290291292293294294294295297297293291289290291291294294293294293294293293290292294295294291291292292293291293291293292292289292291292292293292292293293292293294295297296297297296297297298298298298299298296297297297297297297297296296296292293293294294295295295295294294294295298298293292294293294294293292292293292293293293293293293293293295296296293295295295295295294294295295296295295295295295296296296295295295295295295295295296296297297296296296295296296298297296297297296296295297297297298297297298298298298299298298298298299299299298298299299299299299299299299299299299299299299299299298298297298299298300297298298297297298298299298298298298299298298297298297296297297297296296297296297296297297297297298297299299299299300299299299300300300300300301300300300300299299299300299299299299301301301300299299300300300299299300300300300299299299300300299299299299299299300299299299299299300301300300301300301300300299299298297298297299299298298298298299298298298298298298297296297298298297299298296299296296298297296297295295295296297297296297298297298298296297297296296296296297295295296294295296296296295297297298298296296297296296296295294293294294294294294294294295295294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290290289288288289291286285285283286288288290289291290290292292292289287286288289291288289289289289288288287289288287288288287286286286285284286286285284283284285285285284284283283285285283284283282281282283284281283282281283281286291285289292293289290289286287288287284284293294289288288288289289288288288283287286286285286287286288289287287288999999999999999999291292294297999999999999999999299297999999999999293291999999999999999297297296999999999298297297297298297298296294295294293295293292291293293293292289290291293291290291292291291290292289289286284289287287290286283286287286284285284284285282286282283286284287285286283285284284285287287285285284282284282282282284282286284286286286285285286285285284286286287285286287287287287287288288283287290291287288290288292290289290290290290291291290293292292292292292293292292291291291290290290291292292293292293292291292291293293293293294295295294295295294294294293294294293293294294292291291292291293294293295291292292290290290289291292294291294293293294290291292294294295290290293293292290291293292292291291291292293294294292292292293293293294295296296296296296296297297296297298298298297296296296296296295296296296296293293293294294294295294294294294298295299295294294293294294294294293293294293293294293294294295294293296295295294294296295295295294296295295295294295295295296296296296295295295295296295296296297297297297296296296296296297297297297297297296296297297298298297297298298298299299298298298299299299299300299299299300300299300299300300300300299299299299299298299298298299299298299298298298298298298298299298298298298298298298298298297296296296296296296296297297296296297297297297298298299299300299300299300299300300300300300300300300299298298299299299299299299300301300300300299300300300300300301300300300300299299300299298299299299299299300299299299299298299299300300300301300300300300300298297297298299299299298298298298298298298298298297297296298298299298297296298298298297297296297296294295295296296297297296296298297299297297296296297297297297296295295294295295296296298297296297296296296295296297297296295295294294294294294294294295295294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292289290290289289290289288289288288291288287289288290290291290291288287288288288288290289288288289289288288288288288286287286286286286286286286286285285285286285285284285285285282285286285285283283283284283284284284282282283284286286287288284288287288290289287284286283286284294296286296288289289288287287287288287286286286999999283286295286287287286999999999999295295295296297298300999999999999294297299999999999297294999999999999999999298295999999999299298298298297297295296296295294294294295292293294294294293291290292291294295293291292290289287288291287290287287289286284284288288283286285286286285285286282283283286286287284286285283285285283284284284282284284282284284283284283285285286286285286285286285286286286286286285287286287286286285286288288287292291292290289293291289290292291290291292291293292293292293293293292291291291290290291290292292291293293290291291292292293293294294294295294295295295296294295294292293292292292292293290290291292294296292292291290293292291290290291293294294295293292292293294294297296292291294294293294292291292292292291292291293293294295294292293293294294294295295295295295295296297297296297297298296295296296296294295296296297295297292293294294294294295294295295295295295295296295296295295295294293293294294295293295294295294294295295295295296296296296296295295296296296295295296296294294295296296296296295295295296296296297296297297297296296296296296297297297297297297297297297298298298298298299300298299299298298299299299299299300300300300299300300300300300300300300299299299299299299298299299299299299299298300298298299297298298297297298298298297297297297296296296296296296296296297296296296296296297297297298299299298299300300300299300300300300300300300299298299299299299298299300300301300300299299299300300300299301300300300300300300299299299299299298299300301299299299299300298298299299301301301301300300300300300298298299299298298298298298298298298298298298297298298299300299297297297296297298298298297296296295294295295296296296296297297297298297297295297299298297299297297296295294295295296297296295296296296296294296297296296295294294295295295294294294295295295294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291289291290288289289288288287288288289289287288288288289289288288289289289290290289289289291288289289288287288288287287287287287286286287286285285286286286286286286285286286284286285285285285285284284281282284285285284284285286286286287288287288287288288289287287288288286286297298290289289288289287288287287286287286286287286286285287291290288287287287999999295295298298297298298298297999999999298299298999999999999999999999297298298297299298999999999298298298298297297296296296295295293294292296294292293292292292292293290294292291291290291287290293295286289287289286284283287283283286287287286285286282283283284282283283285286284284283283288286287283282283284282282283284284284284285285286285285286286286286286285286286286287288286286287287288287288289291290290289290291291290291289292290289291293293292292293293293292292293290290293290290289292294294292293292290291293292294294294294294294296295296295294295295293294293292293292293292292292290293292292292292293294293293293291291290291292294295295293293292292292292294293292293294293293293292292293292291291293289291293293293293292292293294295295295296297295294295296297297297297297297296295295297295294294295295296295292292293294295294294294295295295295294294294295295295295296295294294294294295293294293294294294293294294295295296296297296295295296296296296296295296295295295294295296296295295296296296296296295296296296296297295296296296297297296297297297297297297297298297297298300298299299299298298299299299299298299300299299299300300300300299300300299300299299299299298298299298298298298298298299298298299296298298298297297297297298296298297297297296296296296296296296296296296296296297297298298298299298298300299299299299299299299299300300299298298298299299299299299299300300300299299299300300300300300300300300300299299298299298299298298299299299299299299299299298299298299299301301300301302302301300300299299298298298297298298297298298297298297297297298300299299297297295295299299297298297296296295295295296296296296296297298296298297297296296296297296296296295295295294295297296296295296295295298296296295296296296295294295294294294294294295294295295294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289291290290289289289287288288288288289290288287288287288290287287287289289289289288291290290290288288288287287287287288285287287287288288289288287286287288288287288285285286287287286286285286285285284283284284284283284285286286285286287287288288288288289288288286290289288287289289290289289290289288288287288287287289288287285287288288289286287288288287289289290295297298297299299299296293999999999296297297999999999999999999296301301300302299999298300298298298298296296297296296297295293294294293294292292292294295294291289293291290289291288289292293286290289287287285284284283283282286283282281281283283283285283282283283286285285286285287287285285283285284283284283284283284285285285285285286285285286286287285285285286286286288287287287288292292293288290291289290290290291290289288290290291291291292292293292292292293292291291291289288289290290292292293290291293292292293293293294295296295295296295294295294294294292293293292292292291291294291292292292291290291289289290292292293291292293293291292291297290292294294295296299298294293294292292293293292291291290999291291293292292293293294295294296297296296296296296297298297297297298297297295296295295294295295291295292292292293294294294293294295294295294295294295295295295296295295295296296295295294294294294294294293293293294295294293294295297296296295295296296295295294294293294294296295296295295295296296296295296296296296296296296296296297297297296297298298297298298297297297298298299299299298298298298299299299299299299299299299299299300299299299300300300299299299299299298299298298297298298299299298299299298298298297297297298296297297297298297297297296297296296296297296296297296297297297299299298298299299300300299299300299299300300300300299298298298299298299299299299299300299298299300301301301300300300300300300299299299298298297297298299298299300299299298298298298298299301301300301301302302300300300299299298298297297297298298297297298298298297297297298298298298299297297299298299299296296296296295296296296296296296297296298298298298298296296296296296296295295295295295295295296296296296296297297296297296295296296295295295294295295294295294295295295295 999999296296294296298298296292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288289289289289288287286287288288288287287286287289287286289287287289289289289287291291291287288287287286287288288288287287288287287288287289288287288288289284284284286286286286285286286285285285285285284282281282285284283286286286287287287288288288288288288289291290289296289289288288289289288288288286287287289289290288288289999999999999999999999287290291289289295296297999999999296293294999999293295296294294294999999999999999298300302302300300299298298298297296297296295296296295293292293294293293293294295293291291289290289288288291291288288285288287285286287285284283283283283286285282282282283284285285285284283282284286287285287286286286285286284284284284285285284284284285284285284284284285285286285285285285286286286288287287288289293288287289289289289289290289290290291288290289288292290293293294293291290292290290291290290287289291291291292292293292293294293293293295295295296296297295297295295295294294293294294293293292292293291292292292292291289291290289288287292292291288294292295290293291290292294293295293293294294294292292292293292292291291999292292291292293293293293294295295297296296296296295295295296297296297297298297296296296295294294295295291292295292293293293294294294293294294294295294294294294296295295294295294294296293293294293294294293293294293294295295294295295296296296295295295295295295294294294294295295296295295295295296296296296296296296295296296296297297296297297297297298297297296298298297297299299299299298298298299299299299298298299298298298299299299299299299299299300299300299299299299298298298299299298298297298298298297298298296297297296296296296297298298297297296296296296296296296297297296296297297298297298298298299299299299299300299299299299299299300299299298298298299299299299299299300300300299301300301301301300300300300300299300299298297296297298297298298299299298299299299299299299300300300299301301301300300300298299299300299297297298298298298298298296297297297300301298298298296296299298298299296295297296297297296296296296296296297297297297297296297296297297296295296295296296296294295298293296295295295295295296296295295295295295295295294295295294295295295294294 297295294294293295295295290292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293286288289290288288289286286286288287287286287287287287288289289288288288286287289289290289287285288287287287288289288288287286287288288288286288287287286288289285286285286287286286286286286283286285285284283282282282282285285286286286288288288289289288289288289288288287289288289289289289289289289288289288290289286288289288289291287287999999999999999999999291290292292297297999999999294296295295999999294293293293295999999999999999293296302301297298298299299299298297296296296295297294293294293294294295294294296292288288289288291292291289286285286288287286286284284284283283284284285286286284286281283283283284283286283284285285285285286285286286284285284284286284285285284284284284283284285283284285285284284285285285285286287287288287288288289288288288289289288288287290289290291290290289290292291293293293294291291290290291290290290289290293293291291291292292291293292292294294295295295296297296297295296295295294295294294294293293293294293292293294293289289290288289291293292291291292295294294295292291290293293292287297294294295294293291291292292292291999999293290292293292293293292294295295295295295296297296296295295296295296297297296296295295294294294295295291292292293293293294294294294293294294294294294294294294294294295295295294295294294292293293293293293292293292294295294295295295295296295294295295295295295295293293294295295295295295295295296295296296296296296295296297297297296297297297298298297297297296297297297299299298299298298298298299299299299299298298298298298298299299299299299299299299299299299299299299298298298299298299298299298298298298296298298299298297296296297297298296296296296296295295297297297297297297297297297298298299298298299298299299300299300299300299299299299300299299298298299299299299298300299300301300300300301301301300300300300300300299299298298298298298298298298299299298298299299298299298299298298300300300299300300299299299299299298298297297298298298298298297297296297298301299297299296298299298298297297297298296296296296296296296295296296296297298297297296297296296296295296295296295296294295295295296296294296295297297296296295295294295295295295295295295295295295294294 293293292294294294293293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288289288289290289287287286286286288287288288288288287287289289288287287287288287289289287286287287287286287287285284285285287285286285288286286288287286286286286286288287286287287286286286284286287285283284283286285283284286286286288288289289289290289289290288289289289288288289291289289290289287288290290288289293288290286289290286999999999999999999999999292290293295295294999293296296295293999999292293293294294295999999999999999296292295296298297298299299299297296297297295295294294292292294297295297295296293291292290292289292288289286287289289286286286284284284283283284281284285285283283283283283283284285283283284285285284285285285286284285285284284287284284283284283283283284284284283284284285285283285284285285286286288287287288288289289289288289288287287286288289289291291291291290291291293293293292292291290290290292290291292292292291290290291292292293293293294294293295295296298299296296295295295293294295294294292292293294294294292294292292292292295295293293291290292292291289289293296291290289290294298292292294293296296296292292291291292291291291292292289290292292292292292294295295294294294295296295295295295295296296297296296296295294294294294295292292292292292294293293294294295294294294294294294293293294293296294294294293294292292293294295294294294293294294294294294295295295295296295295295295295295295293294293295295295294295296296296296296295295295296295296296296296296296297297297298297297297297297298297298298299299298298298299299299299299299299298298299299299299299299299299299299299299299299299298298298298299299299298298298297299298297298298298299299297295296297297299297297296296296296296296297297297298297298297298298299298298298299299299299299300300299299299298298299300299299298298299299298298298298299300301300300300301301301300300300300301301300298298298298298298297298299299300299299299299299299299299299299301299300300300300299297299298298298298297297298297298297297297297296299300299300300300299297299298298297297296296296296296296296296296296296296296297298296296296296296296296297296295295295295295296296296296297297297296296297297296295295295295294294295295295295295295295294294 999292292294292292294293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289290289289289289287286287286288287288290290290289288287289287289288288287288287292287288287286286286285286288287285286285286285285287286286283287286286286286287286287287287287286286286286286286286286286286286286286284285286286288288288288289289290290290289289290288289288290285290286288288288288288287287288289287288288290292292291291291999999999999999999293999293294296294294293295295293292292292293294292293294295999999999999999292293296299298299298298298298297296296296298297297295292294294297295295296295295294294294295291293288289287290289287285286285284284284284287287284281285281283282282282285283282283285284284285284286285285286285286285286285284284286285283283283284284284285284284283284284284285284285285286286287287287287288288289289290289287287287286286289288288290291293291291290292292294293293291290290289290291292291291291291291292290291292293292294295294294294294295295296298298296294295294292295294295293293294294294294293293293293292294291297297297296293290291293288287289294293291291289290293297292292292293296296296293292292292292292291291292291291290291291292291293295294294293294294294295295296296296295295296297297296296296294295294294290291292291291293294295293293293294294294293294293294293294294293293294294294294293292292293293295294294295295295292294294294295295295295296296295295295295294294293294293294295295295295295296296295295295296296295295295296295296296296296296297297298298297297297297296298298298298298298298299299300300299299298299298298298298299299299299299298299299299299299298298298299299299299299299297298298299300299299300299300299297297297297297298298298297297298298297296297297297297298298298298298298297298298298299299299299300299300299299299299299299298297298298298298297298298298299299300299300299300300300300300300300300299299298298298297297298298298299299299298299299298298298297298300301301300300301300299300299298298298298298298298297297299298297297298297299299300301300300298296299298298297297295295295295296296296296297297297296296298297297296297297297296296296295295295295295295295295295294295296297297297297296296295295294294294295295295295295295295295294294 999292290291289291294293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288289290289290289287286286285288288288289289289289289288287288290287288288286288287286287287286286286285284286287286287286286287286286284285284284284286286287287286287287287288287286286286286286285284285285284286286286286286287288288289289289289290289289288288288288288288286284284286284286286287287286287289288286287289291290293291290293999999999999999999999999296294295297294294293293292292293294294294293999294296999999999999999999999297298295298296297298297298298299298298296293293292298297295294295296296296295293291291293292287287290291289288286286286284284285284286284282284282286282283283282281283284283283284283284284285286285286286285287283287284283284284283284282283283284284283283281283282284285284285286287287287287286288289288290290289289288287286287288289290288288291291292290292292292290291291290290288291291290291291291289290291294290291292292292293294294295294295295295296298296295295293294293294293296296294295294295294294294294293291296297292290293297295294294294290290288296295293290291289293292293293294294293295294293292292292292292291291291291292288290291291291293294294293293293294294294295295295295294295295295295296297296295294293291291293291291293293294293293293294294294295296293294293293295294294295294294294293293293295295295295296295295296295295293294294295295295296295295296295295295295295294294294295295295295295295296295295295295296296296295295296295296296296296296297297297298297297297297297298299298298299298298299299300298299298298298298298298299299299299298298299298299298299298299299299299299299299299298298298297298300299300300299299298297297297297297298300297298297298298297297297297297297298297298297297298298298299299299299300299299299300299299299298299298298297298298298297298297298298297299299299299299298300299300300299300299298298298297298297298298297298298298299300299299298298298298299300300300300300300300299300301299298297298299299298298296296297297298296296296297298300300301298296297297298297297296296295296295295296296297297297296297297298297297296296297297296296295295295295295295295294295294297297296297297296296296294295295295294295295295295297295294294294294 999291291291291290289288298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289289289291289288287287288290290290290289289289287288289287288288288287288288288288287287285286285285284285286286287286287286287286286288285285285286287287287287288287287287287287286286286284284285285284284285285286286287288288289289289289288289289288288288287288288288287283285285284284285286286289288287288288290290290288290291292294295999999999999999999999296295299296294292293293292293294294294295295294294295294294999999999999302999295297297296298297297297300299298297296293294298297296295294294296295293292291290293293292289290289290290289289285284284284285283285285281281282282283283282283282282283284284283284283283284285284285285285284283284283284284281281283283284283284283283283284282283285283284284284286286286287287288289288290290289289288287288288289286289289289288289290290291291291291290289290290290290289289290290290291289291292292290293293294294294293295295296296295296295295294294295294294294296294294294295292294294295295293292290292293290297289293297296296295289289293296292290288290292292292293293294293292292293294291291291291292291291291291292288288289291291292292293293293293293294293294295294294295295295294295296297296295294291291290292291291293293293293293294293294294294293294294294294294295295295295294293294293294295295296295295295296294295294294294295295296296295295296296295296294295294294295295295295295295296295295295295295295295296296296296295295296295296296296297297296298297296297297298298298297297299298298299299299299299298298298298298299299299299299298298298299298298298298299299300299299300299299298298297298299300299299300299299299298298299299299299299298298299299298299298297298299298298298297297298298298298299299300300299300300299299299299299299299298298298298299298298297298298297298299298298298299299299299299299299299299298298297298298297298297298298297298299299298298298298297298298300299299300300300300300300300300299298297297298301297297296298297297296295295297297298299299298297297298298298297297295295296297297297296296296296296296297298297297297296296296296295295294295295295294294295294296297296296296299299297295295295295295294294295295295295295295294296295 290293291291289292291290296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289291290291289287288288289289290289290289289290289289289286289288288286287288289289288287286286286285286286286286287286285286286287286286286286286287287287287287288287286286286287287285286285285285285284284283285285285286288289289290290290289287289289289288289288287286286283282282283284285286286288288287286288289290290290293293292293293999999999999999999999295297295294293292293293293294294295296297294294295298294295294294294297304999294296296296297299297299299298299297296297295298298299296296293292291290292291290292292291291290289289290288286283285284284283283284282282281282282282282282282283282283284284284283284284283284284286286284283283284284283284281281282283283283283283283283283283283283284285285286287286287287288288289288289290289288288287287288287287287289288289290290291290290289289290289290288289290288288288287288288290291292294293294294294294295294295294295294294295295296295293294293295294294294292293294293294293295293294291291292292291290288289295296289283291290292288288290290291292292293294293293293292292292291292291289291290290290291291291292288289291290291292292292293293293293294293294294293294294294293295296296295294293293291290291291291292292292293294294295294294293293293294295294294294295296294294294294296296296295294294295295294295295295294295295296296296296295296296296295294295295295295295295294295295296296295295295294293295295296295295294297296296296296296296296297297298296299297298297298299299299298298298299299298298298298298298298298299298298298298298299298298298297297298298299299299299299299299298298298299300299301300300300299299299300299299299299297298298299298298298298298299299298299298297298298298299299300300300300299299299299299299300299298299299298298297298298297297297297298297298298298299299299299299299298299299299298298297297297297297297298298298298298298298297297298296298298298300300301300299300299300300298297297299298300299298297296297299299296296297295296297298298298297296298299297297297295296299299297297297297296296296297297297296297296295295295295294294294295295294295295296295296297298298299298296295295295295295294294294295296295294294295295296 290292293293292291291290294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288290292291291289288289289289290290289290290290290290290289288288288288287289288289289288287287287288287287286285285287285285285285286286286286286287286286286286286287287287286286287287287286285285285285284282282283283285285287288289290290289289289289288288288289288287286284282281283284284285285287286288287287287289290292290291293292293292999999999999999999999296297296294294294293294294295295295295295295295296295294295295294292999999999292295295297297298299299301299298297296294296296299295293293293292292293292291291292290290289290289289286286286285284284284283281283281282282282282282279282283283283283284284283283283284284283281286285285285284284284284284283283282284283284283283284283284284284285285285285287287286288288288288288289290289289288288287287287286287288288289289290289290289289289290289289289288289287288289287288289288290291292293294293293294294294294296295295295295296296296295294294294293293293295294293293293294294294293293293293294292291288290290295285295290291286289287287287289290292292293292292293293293292293292291291290291293292288291291291293293291291290291292292292292293293293293293293293292292292294294294295294293292293293290293293289291292292294294294295294294294293294294294294295294296296295296294295295294296297294294295295294296296295294295296296296296296296296296296296296295295295295295294295294295295296295294294294295294295295296295295296296297296296296296296296298298298296298295298297297297298297299298298298298298298298298298298299299298298298297297297298298298298297298298299300299299299299299299298298298299300300298298300299299300300301300299298298299297298298299298298299299300299299299299298298298299299299300300300300299299299299300300300300299299297298298298298298298298297297298298297298297299299299298298298298298299298298296297297297297297298298298298298297298297296297297296298296298298299299299299299298299299299298298298298299299298298296298300299296295296296296297298296297298297298297297298297296296297297296296296295296296297297297297298297297296296295295295295295296294295296297296295296297299298300298297296296296295295295296295296296296295295294295296 290292290290289290292290290999295294295999999999293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296290291292293292291290289289289290289289289288288291291290290288288289289288289288289289288290288289289288286285284284286285286285285285284286286285285286286285287286286287287286287286287287286287286286284284283284283285285285287288289290290290290291289289290288288288286286284284283282282284284286286286287288287289290290291291290293292292292297999999999999999999296295297293293292292293294295295296296297297296297297295295296294293295999999288289291298300299302301300299298296295294294294296296294294294294292294295292291292291290290289289287287286286284284283284283282284281282282281278282282282283283283282282282282283283283284283282285284284284283283284284283283284283284284282283283284284284285285286286286287287288288288288289288289289289289289289288288287287287287287287289288289289290289289291291289289288288287286287288287291289291290291291293293293293294295295296296296296295296295296296296295294294293291292293294294293294294292292292292292293295293293290288290290288292289287287287287288289290290294293293293292293293294296295293293292292293292293292290289290293289290289291291293291292292293292292292292293292292292292292293293293293292292292292292293293290292292292294295294294294295295294294294295294295295296296296296295295294294294295295294294295295295295293294295296295295296296296297296296296296295295295295295295295295294295295294294295294295296296295295295296296297296296296296296296296297298298298297297298297297298297299299298297299297298298298298298298298299298298297297297297297298297300298299299299300299299299299299299299298299299298298298298298298299302298300298298298299297299298299299299299299299300300300300299299299299300300301300300299300299298299299299300300300299300298298298298298298297297297297297298297297297298298298298298298297298298298297297297297297297298298298298298298298297297297297298298297297298298299299299300300299300298299299297298298297297298298297298298298298296295294296296296296296297299298297297297296295295296297296296295296296296296297297297296297296296295295294294295294295295297296296295297296296298297299297297296296297296295296296296297296295293294294295296 289291293294292292290290289289290291292294293293293294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294293293293292292290290289288289290290290291291291290290288290288288288288288289290290291290290290289290289287286284283286285286285285285285286285286286286287286287286287286286286285286287286287287287286285285284285285285285286287289289289290290291290290289289289288287286286283283283283284285284286287287287287288290290290291292292293293293293297999999999999999999295296295293293999296295295294296301298297296296297297295295299999292293291999291290294295296297298297298999297292294293296295296295296296291294292292296292293290289289289289289288286285285283284283283283283282281282282277281282282283282282282282282281281281282284284284283285283284284283284283284282280283282282282282282284282285285285285286286286287287287287288288288288288288288289288288288287287287286287286287288287287288289289290289290289288289288287287286289288288292292289291290291291292293295295296295295296296296296294295296295293293293293293294294294295294294294294295292294295294293295295290292290288286286288288288290290289291291292291293293292294290293292292291291292291294292293291291291289288289287288287290291291290291292294292293293292291291291292292291292292292291291293292292292294293291292292293293293293294294294294294294295295295295296295296296296296295295294296295294293295296295295295295294294295296296296296297296296296296295294295295295296295296295295296295295294295295295295296295295295296296295296296296295295296296296296295297298298298297297297298297298297299298298297298298297298298298298298298298297297298298298298298298299299299299298299299299299299300299299299299297297298298298301301300300299299299298299299298299300300299300300300300300301299299299300300300301300300299300299298298299300300299299299300299298299298298298298297297297297297296295296297297297297298297297297297297297297297297297297297298297298297298297297297297297298298297296298300299300299299300300298298297298298297298296297298297297298299299297296295296297296297297297298300299298298298297297297296296297296296297296296298297296297297297296296295294295295295295296294296297297295297295297298298299300300297296298297297297296296296296294293293294296296 289291291290293292292291289289290291291290293295294294295296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293292292292291290289288289289291290291291291289288288289288287289289289290290291291291292290289290288289287286285286284284285286285286286287287288288288288287287287287286286286286287286286287287287286286286286286285285287287288289289290290290290290289288288288287286286285284282284285283283287287287287288289290289291291292293294296292293295299999999999999293294294295295295999295293295295999296297298298296296299999999297297999293294288287288999999999999999999999999999999293294295292296297296296297291291291295293290288289289288288288287285285285284284283282282280283282282282281282281282281282281282281281280280280283284285285284284283284284283283280279280280280282282282282283284283283283284285286286287286287286287287288288289288288288288288288288286286286286288286287289289289289289291290288290289289290289288288290287287289291290290292290292291292293295296296294295295296296296296296295295294295293294292293294294294295295293296296295295294296294293293293292291291288292288288288293290289284292291291291293291291292292290290292290290290293292292290290290291289288288290289288291291291292292294294292292290290289291292291291291291290290290290290291292292292291291292292293293292294294295294295295296295295295295297297296296297296294296296296295294296295295295296295296294295296298295297295297296296296296296296296296295296295295295296295295295295296295295295296296296296295296296296296296296296296295296296297297298298297297297298297297298299297297297298297297297298298297297298298298298300299298298299299300300299299298299299300299299299299298298298299297298299299299301301300300300298299300299299299299299299299299301301301300301300300301300300300300300299299299298298298299298298300300300299298298298298297297296296296296296296296296296297297297297297297297296297297296296298298298297297297297297298298298298297297297298297298297299298300299299299299298298297297297298297297297298298297298298297297296297297298298298298298298299299299299299298297298299297297297296296296296298298297297296296295295295294295295294295295294296296297297297296297297298298301298296295295297297299296296296295295295294294295295 290292292294293292292293290291290290291292296295295296294296291298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292292292293292293291290289289289290289290290290290289289289289288288290289290290291291291292293290290291289291290288288287287285285285284286286286286287287288288289288287287287287288288287287288288288287287287286286286285285287288288289290290291291290290290289288288288287285286285284284283283285286288288287288289290290293292292292294294293294295297299999999999293295294295295999999296296296296999999297297296297299300999999999298298293293289287290999999999999999999999999999999296290292293297296292297290289291293293292289288288288288288288285285286285284283282281280281282283282282281281282281281281281280280280280280280281285285284283284284283284283279280280281281282282282282281282283283284284285285287287287287287286288288288289289288286287287288287288286287286286286286289289288291289288290290289289290289288288290289290287287291291291289289290291292292293294294294294296297296295296296296295294294295293293294294295295294294295294297294296295296294292294294293291295290288288290290291289291290289291290291291292291291292288288293292290292291291291291292292290290290289290289288287289291290291292292293292291291290290290291290293289292291291290289290291292292293291292292293293293293294293294294295295295295294295295296296295295295295295296296296295295294297297297295295296295297295296296296295296296296297297296296295297297296297296296296296296296296296296296295296297297295295296296296295295295295296296296297297297297298298297298297297296298299297298297297297297297297297298297298298298299299299298298299300300299299299298299299299297299299299299299298300299299299299299299298299300300300300300300300299299299300300300301301300300301301300301301300300300299300299299298298298298299300300299300298298298298298297297297296296296296296296296296296296296296296297297296297297297297297298298297298298298298298298298297297296297297297298298299299298300298298298298297298298297298297298298298298298297295294295296297297297297297297299299299299300297296296297298299297297297296296296296297298297297296295295295294294295295295295294295296297297296296296295297297298299299296296296296296296296295295295295294294294295295 290294293295296294294294292291289291293292295295296296296298295296298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292292293294293293292291289288289289290290291290289289289289289289289289291291290290290294294294292292292292291290289288287285284283283283283286286285286285286285286286287287287287288287287287288288287287287287286286285285287288289288290291291291291291291289289287289288288286286285284285284285285287287287287288289291999292293294291294294293294295295295999999293295296295295296294294296296296297297298299298299297298999999999999999298293294292289291293999999999999999999999999999999295295297297293290290289293291291290289290288288287287286286285285284285285283281283282282278282282282281281280281280280280279279279281280283280283280280278280280279279279280281280281282283282282281284283283284286285285286287286287287286287287288288288288288286287287288288287286286286286286288288289290289290290290291290290291290290291289293294292291290292291292291290290292292295296295294294295296298298297296295293294294294294294294295295296294295296294295297295293296294293297296291292293292289291288292295292290290290292292292291291292291289291292290291292290289290289290292290290290290292293292289288288290291291291292292292291292291291290289290293291291290291290289290291291290291290291292292293293293294294294295295295296295295295295297296295295296296296295295295294295294296297295295295296296298296296297297296296297297297296297297297297298297297297296297298297297297295296296296297297296296296296296296294295295295296296296296296297297297298297297298298298298299296296297297297297297296297297298298298298298299298298298299299299299299299298298299299298299299299299299299299298299299298298300299298298297300300300300300300300300300299300300300300300301301301301301300300300300300299299299299298298298298300299299299298297298299298297297296296296296296296296296296296296296296296297296297297296296296297297297297298298298297297297297296296295296296296298297298300299298298299299299298297298298298298298298297297297295295295296296296295296296298298298298298297296296296296298296297297297296296296296298298298297296296295295295295295294295295293295295296297296296295295296296296298298295297298297297298296297296297295295295294296295 290291291292293293294294292292292292293294293294297292295296294293294294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292293293294293294294292291289288290289289290290289289289289290290292291290291292292293294294294294293293293292291290289289287287286284283281282282283284283284286285285285287285286286287287287287288287286285284285284286287288288288288290290292291291292291289289287287287288289287286285285285286286286287287288289289291999999293292293292292292293294296294293293294293292293293294293294295295296298297297298298297297303999999302307999999999293293292291293999999999999999999999999999999999294293291290290291291293292291291290289288287287286285285285284284285284283283283283282282281281281281281281281280280280280280280279281280280280280280279280279279279280280281281282283283282282283284284283285286286285286287287288288287287287289288288287286287288288287287286287289288286287287288289287288290289291291290292291291290291291292292290291291290291292292290290291294294295295293296295296297296296294295295294295295294295293297294295294295296295296294294294294293292292293294290293289290290291290290288289291292293293288287293293291290289289291291292291290290288290291290290289290291292293291292288288290291291291292292291290290290290293292292289290290290290289291289293290291292292291292293293294294293294295295296297295294295296296296295296296296295296294294295295295294295295296296296297297297296298298298297297297296296297297297298297297297296296298298297298297297296297296297297296297296296296295296296296295295296296296297297297297298297296296297298298298298298296296297297296296296296297297298298299298298298299299299299298298298298299299298299299298298299299298298298299299299299299298298299299299299300299300300300300300299300299300300300300300300300300300300300299299299299299298298298298298299298299298298297297298298297297295296296296296296296296296295296296296295296297296297296295296296296297297298297297297297297297295295296296296297298298298299298299300299298299298297298297297297298298298298297296296296296296295295296297298298297297297298296297296296297299297297296297296296296297296298296296295295295295295295295295295295295294296296296295295295295295294297298297298298297297296296296296296295295295296296296 287290290290292292293293292292292292292292292293293290294296294294294999297299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291293294294293293294294292291290289290290291290290290290291292290291291291294294294295295295294294294294293293292292290290289289289287286285284283283283283283286284284286285284283284285286286285286287286285285283284286288289288287288292291293292292290292290289290288288289287287288287285287287287288287288289290290292292999999999293294292292293294294294294295295293294294293293293294294294295297298297299301300297303999301301301999999999999293292294291291300999999999999999999999999999293291290290291293292291291291290290288288287286285285284284285284283284283283282281282280281281281281281280280280281280280279281280280281280280279279279279279279279280280280280281282282282283283284283285286285286286286287287287287287287287287288287287287287287287287287287287286287286287287287287288289289291290290291292293291291291290291291290291289291291292292291291293292294295296296296296297296296295296296296295294295294294295295295294295294295294294296293295293293292292291288290290290290290291290290290290290290291293292291294293286289289290291292291291290290289291291290290292290289289293293292291288288290290291290290291292291290289292291291290290290289290289290289293291291292292293292294293294293294295294295295295294294295295296295295295295295295295294295294294294295295295296295296297297297298297298297297297297297297297297297297297297297296296297298297296297297297297296296297296296297296295295296296295295295296296297297297297297297296296298298298298298297297297296296297297297297296297297297297298298297298298299297299298299298298298298299298298298298298299298299300299299299299299298297298300300300299299299299300301300299300300299300300300300300300300300300299300300299299299298299299298298298299299298298297297297297297297297296296296296296296295295295295295295296296296296297296295296296296297297297296296296296297297296295296297296297299297298298299299298298299299299297298297298297298296298298297297297296297296296295295296296298298297298297297298298299298299299297297297296295296296296295295294295295295295295294295295296295296295295295295295295296295296296297297297298297297296296297296295295294295296295295296 288289290289289290291292292291292292293290289291295295295298297295290292296296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293294295294295294294293293292291290290291292291292292292292289290291292295295295295295295295295295294293292292291290290291290289289289288287287286285285284284284283283284284283283285285286285285285285285284284286288289289289289289291292292293291291291292291291289290289288288288289288287289290289289290289289290294293293299291293294293294294294294293294295295295293293293293293294294294295298299299299299299299306299300300299303999999999292293294293291292292999999999999999999999295292291290293292291289292292291291289289288286286285285285285285285283283283282282281282281282282281281280280279281281279280280280281281280280279279280279280280280279280280280281281281282282283283283284285284286286286287287287287287287287286287286287287287287287287288287288287287287286286285287285286290290290289292291291290291292291290289291288289291290292293292292293293293293294296296297297297296296296295296296295295294294294294294294295294296295294296295293294293292293291291290291292291290288289290290289289289289292291287292291289291290290290287288290292290291290291289290289292291290290292288294291289289289290290291290288289292291289291290288291290289289289290290292292291290292291291291293293293293294293293294294295295295295296296296295295295295295295294294294294295295295295295296296294295296297297297297297297297297297298298297297297297296297298298298297297298297297297296296296297296296295295295295296295295295295297296296297297297297297297298298298297298297297296296296296297296296296297297297297297297298298299298298299299298298299298298298298299298298298299299300300300301299299299298298300300300300301299298299300300300300300300300300300300300300300300300300300300300299299298298299299299298299298297297298297297296297297297297298297297296296296296295296295296296296296296296296296295296296296296296296297297297297297297297296296297297297297298298298299299298298299299299299297297297297297297298298297298297297296296296295297297297298298298299298297298298299297299299298297297296296296296298296295294294295295295295294294295295295296295294295295296297296297297298296295299297297297295297297296296296295295296295295296 289289290289289289291292291291291291292292290293295294294295297294290291291291294296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296294294294294294294294294294293293292292291292293294293291290290290292293294295295295295296296295295295295294293292291290290290289289290289289289288287286286286285284285285284284284284285284285285285285286285284287286288290290289290291291291291292291291291291291291291290289288289289289290291291291291290291292292290294999294296295296294294294295294295295295295295293293293293292999292292293296298300301301301305303301302301299299299302302999296294294295293294299298999999999999999999295291291294293291291291291292291291290288287287286286285286285285284284282282282281281281281282281281280280280281281281282281281280281280280280279279279279280280279279280279280280281282283283282282282284284284284284286287287287287286287287286286287287286286286286286288288288287287288287288286287289290287290289290291291291291291291291291291290289288290289292294293292292293294294296296295296295294295296295295296296296293296294294294294295296296294295295295294293293294294294292291289290289291290289289289290291289291291291288289290289287289290290288288289290293289291291291290290291291294293292288293293290291293289288290289288288290291290291291290288287291289289289291291293294290291292291291292292293293292293293293295295295295295295295296296295296295295295296295294294294295294296295295294296296296297297296297297297297297297297298297297297297296297297297298297297298298297297297296296297297297297296295295296296296296295295296296296297297297297297297298298298298297297297297296296296296296295297297297297297298298298298298299298297296298298298298298298298299299299298298298300299300300299298299299300300299299300299299300299299300301301300300301300300300301300300301300300300299300299299299299299299299299298300298298298297297297297297297298298298298296296296296296296296297297297297297297296295296296296296296297296296297298297298297298297297297296297297297296298299299299299300299298297298298298298298298297297297298297296297297296297297298297297297299299299299298298299298298298298298298297296297296296296294294295295295295293295295295294295294295295295296296297296297297300299296296296296296299297298297297296296294297295295296 287288290290290289289290291292293292291291292293293292291294296295294293292286286288286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295295295294294294294294293292292292293293294295293291290291292294293294295295295296296296295296295295295294293292289289289289290290289290290290289289288288288288287286286287286286285286286286286286288287287287287289290289290291291289291292291291291291291291291291291291290290290290291293291292292293293293293292294999300297297296296295294294295294294295296295294293294294293295999999999297297302300302303303304303303302302301301301298300295293298296292295295295292293999999999999294290293294292289292292292292291290288288287287287286285286286285283283282282282282281280281281280280281280281281281281281281280281281280280280279279279280279279279279280280281281282282282282282281281283283284283284284284285284284286286287287286286286286286286286286286287288287287286285287286285288288290290289290289290289290290290290290290290288289288291292292293293292294294294296296296297296296296295296296296297296294293294294294295294294295296296295295295294293294294294293291289291290291289290290289289289291292290291291290291290289291290289288289291290291290291290290291290290291291291289289290289290290289289288291286288285289290291289288288289288289292288291290290291292288288289290290291292291292292293294293294294294294295295295295297296296295296296296295295295294295294296295295295296296296296298296297297297297297297297297298297298298298298297298298298298299298298298297296297298297297296296296296296296296296295295295296296297297296297297297298297297297297298297297295296295295296296296296297298298298298298298298298298298296298298298298298298298299299299300299299301300299300299299299300300300301300300299300301300300300301301301301301301301301301301301301301300300300299299299299299299299299299298300298298297298297298297297297298297297297297296296296296297297297297298296297298296295296296296296296296296297296297298297297298297297297296297297297297299299300300299300299298299298298298299298298297298298297297297297297298297297297297298298299299298298298298299299298298298297298297296296297296296294294295294294294293294294295295295294295295294295293295296298299300301298296296296296298297297296296297299297297296295296 289290290291290290287292292294295294293291293293292293293293296295296288286999286288286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295295295294294294294293293292293294294294294293291291291294294294293294295295296296297296296295296296295295294293291290290290290291291291291291291291291291292291290291289289288288288287287286286288288288287287287289290290290292292292293293292292292291292292291291291292291292292291292292292293293295296298297296296293300298298297296296295295295295294295295295295294294293293294294999999999301301304304303303302304303297302302301301297295293293298300999293295299293293999999999999296292293292292293293293292290289290289288287286286285285285285284284283283283282282281280282280280281282281282281281282281281281280280280280280279279279279279278279280281281282282282283282282281281282283282284284284285286286284285286287286286286286286285287286285285286288286287286287286286288286288288290288289289288290290291289291291290289290289289291291291292293293293293294295295296296296296296297295295295295295294294294295294294294295296295297295296295295293293294292292291290291291291292292290290291291291292291291289290289290290290295290290289291288289290291291291289291289290291290291290288290289290291289290290290290289290290290290289288289288288289291291290289289295293288288292290290291291292291293294294294293294294294294295295296296296296295295295295295295295295295295296295295295296296297296298298296296297298298297297298298298298298298298298299299299299298299298298298297297297297296296297296296296296296296295295295295296297297297297297297297297297297298297298298297297296296295296296297297297298298298299299299299298299297297298299298298298298299299299299299299299299299300300299298300300300301300300299300300300300300301302302301301302302302302302301301301301300300300300298301301300299299299299298299298298299299299298298298298298297297297297298296297296296297297297297297297296296296296296295296296297297297297297298297297298297297297297297297298298298299300299299298299298299298298298298298298298298298298298298297297297298298297298298298299298298298299299299297298298298298297297296296297296296296295295294294294295294294296295294295294295295294296297298297298301295295297296296296294296295297297298297297298296296 290290290292292291290291290289292291291292293293293293293293292294290289288290289290287288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294295292293294295294294294294292293292294294295294293291293294294294294294294294295295294296296296296295295296295295294292292291290290290291291292292293293293292293291293292290289289288290289289289287289288288289288288288290289290292294294293294292293291291292292292293292292293293292292292291293294295296296298298297298297295296298298298297297297294294295295296296294294295294293294294294999999999999299304999303304304302300299301300300299298295293293295295999999291290293999999999999999293291292292293293293293292292292290288288288287286285285286285285283283283282281280281282282281282281281281281281282281281281281281281281280280279279280279279280281281281282282283283283282282282282282283283283283285284286286286286287287285286286287287284287286286285285285286286285287286286285285288287288290288289289290290288290288290290288289289289291292290292292292292293293294295297296296296297295296295296297295294295294294293293294294294293294294294294292293293292292293293292293293292292292288288289291290291291291291289289289289292290291290291291291291294290291290293293292294290290289290290289289290291289290290291289290290290290289290289288288289291291290290287290289291293291292293293291292292292292293293294293294294293294294295295296296295295296294295295296296295295295295295295295294297295296297297296297298298298297298299298298297298298299299299299299299298298298298298297297297296297297296296296296297296296296296296296296296297297297297298297297297298298298298297297297295296296295296297297297297297299298299299299299299299300299298298298299299299299300300299299298299301300299299301301302301300300300300301300301301301301302302302302302303302302301301301301300300301300300299299299299298298299299298298298298299300299298298298298298298297297298298297297297297296297297297297297296295296296296295296297297296298298297296297297297298297297297296297298298298299299298298297299297298298298298298298299299299299298298298298298297298298296298299299298298299299300300298299299297298298297296296295295296296294295295294295295295295295297296295294295294295294296295295297298299294295296297298296295295293296298297297295298298297 291292293292291290289289290291290291289291291291290291291293290292290291290290289288288288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289291292293294294294294295294293293293294291291292293293295294294294294294294294294293293296296296296295295295295294293292292292290290290291291292293294294293293295292292293293292291291290291291290290290289289289288288290292291291290291291294294294293292293292292292293292292292292292292291292292295295295297298297295296296297299297298298298295296295295295294294294295294293294294294294295999999999999999999999999999999301299300301297297298297295294294295999999295295291294999999999999999999292293293294293293293292292290289288288287284285285286285285284283283283283282283281282282282281282282282282282282282282281281282281281280279279278279280280281281281282281282283281282283282283283283283283284284285284286286285285285289287286283285286284284283283285282287285286286286287286287286289288288289289289291288289292286289288289288289288290292291290292291291292293293294295296296296296296296294298297298296295296295294294295295293293294295294293292291291291291290291291292293293288293292291291291293291291291290291289288288291290290289292290291290290294293291292292294297294290290290290289290288289290291289291290288291290288289289289289288286289293289289288288288289291292291292292293290291291292293293293293294294294293294294295295296296295295295295295296296295295295295295295295294296297297297296295297297297297298299299298299299298299299299299299299299299298298298298297297296296296296297296296296296296297297297297296296296296296297297297298298298297298298298298297297297297296296296296297297297297298298298298298299299299299299299299299298299299298299300300300299298299300300300301300300301300301300300300300300300301301300301302302302302302302302301301301300301300301300300299299298298298299299299298298297298295299298298299298298298298298297297297298297298298298297298298297298297297297296296296296296296296297297297296297297297297297297296297296297297298298297298298297298298298299298299299299299299298299299298298295298295296298297299299299299300299300300300299299298298298296297295296295295296295295295295296295295294295295294295295293293293293294294294294296296296296295295295297298293292293292292298296297296296297 294293292292291291290289287289291290290291292292292291291292290292292291290289288289289289290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288290292293294294294293293294293292293293293293294294292294295295294294294293294294294294295295295295295295294294294293292292292291291291291291292292293292293293294293293292292292293291290292290291291291290289289289289291293293290292292292292294293294294294293294293293293292292292291291292292292294296295299297296297297297299297296297298298297297296295295295293294292292294293295294296296999999999999999999999999999999297296303299298298297294296292296295999999294294293999999999999999999999999291291291291292293292291289289288287287286285284285285284284284284283282283283283283282282281281282282281282282282282282281281281280279279279279279280281281282282282282282282282282282282283283283284284284284284285285285285284287285284285285286285285285283285286283286286288286287285286289288288288288289288291289287289288286286287288290290291290292291292292290292292292293294294294296296296296297297297298298295294294295293293294295293293295292293291289291291289291290291292292292294294292290291293292292291291291290290291288288289291291291291286291290292289295296295294293296290290288289291289287288289290291289289288288292288286288289289289290289291288291290290288289289291290290291292291290291290292293293293293293294293293293294294295296296295295295295296296296295295295295295295295295296297297297297297297297298298298299299299299298298299299299299299298298298297298298297297297297296295296297297296296296296296297297297297296296296296297297297297298298298298298298297298297296297297295296296296297297298297298298298298299299299299299298298299298299298298299300299300300298298300300300300300301300300300301300300301300300301301301301301302302302302302302301301301301301301301300300299299299300298299299299299298297298297299297298298298298298298297297297298297297298298298297297297298296297297296296296296295296296296296296297296296296297297297296295296296295295298298298296294296297297295298298298296299299299299299299299296296297296297297297298297297297297298297298298297297296296296296297295295296294295295295294294295296294294294294294294292292293293293293293294295298297296295295294295295294293293293293295295295295295296296 295294294294292291290290289289291291290291291290291293293291293293293293292291290289290289289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280282283283285289291292294294293293292292293292292291292294293293295295295295294294293293293293293293294294293294294294293293292292292291292291291291292292291292294294293293292292291291291292292292291290290290291291290289289290290292293293293293294293294294294294292293293293293293292292292293291291293292293295296296298999297298299298298298298298298298297296295296296293293294292292295295294296295999999999999999999999999999999999300303305303295301294296297292294294297999999999999999999301297999999999999291291291293293293292289290288288287286285284283286286286285285284283284283282282283283282281281282282282281281282281281282282281280280279280280280280281281281282282282283282283283282283283284284283284285284284283284283284284284284284285285286286285285284287286287287286287286285286287289289287287288289288287287288289290291288289288290290288288290292290290291292292292292292291294294296295297298298298298297297296296296293294294294291290292290291291289291290289291289290294293290293292291291291290292290290292291291291290289294293295294290288291290289294292289296290295290291289288289292289288288288290290288289289287290292289291288289288289290291291291291289287289290288290289291292292293291292292292292292292292293293292293293293294294295296295296296295296296296295295295295295295295296296296297297297297297297298299299298299298298298298298299299299298299298298298297297297297297296296295295295296296296296296296296296296296296296296296296296297296297297297297298298297297297296296297297296296296297297297297298299298298299299299299299299298298299298298298299299299299299300299300300302300300300300301300300300300300300301301300301301301302302301301301301301301301300301300300299299298299298299298298298298298298298298297297297297297297296297297297296296297296297297297297297297296296296296296295295295293294294295295296296295295296295296296297296296295295295293296295297296295295298295296296295295295296297300300297297296297297297296297297298298297297297299299299298298298298297297295296296296297297296295296295295296296294294295294294293293292291293293293292293294296298296295295296297296297296296293294295294292294292292296294 294293292294291292291291290290289290291290292293291291292292293292293294294293292289290292291999999999999291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276279280283284282283286288291290293292291291291290291292295293296294294295295295294294294294294293293293293294293293294293293293293292292292291291290291291291292291292292294293293291290290291293292294292291290289288290290290289289289292292293293293293294294294294297295295295295294293293294293292293292293293293293293295296298999298297299300299298297297296296295296296295294293293293296295295292293293293999999999999999999999999999999296295300304303299300300298294296295292296999999999999999999297295999999999999292291292292292292290288289290288286285286285286287286286285285285285284283282283283282281282281282281280280282281281282281280280281281280280281280280281281282282282282282284283282283283284283283284283284282282282283283284284283284284285286286285286285287287286287287287286285285286287286286286286287287288288290291290289290291290289289290289290292293292292292292292292292292293293294293294296297297297295296296296295294294294294292292291291293290292291292290292291293292290293291291291290291291291291291291291291291291291292294294294293291290288288290290290290291288287289290289289288291290290289291288289290288289289292290291289289290292290290290290289290288288289290289290292291292292290291291292292292291292292293293292293292293293294294294294294295295295296295295294295295296295293296296296295296296296297297298298298299299299298298298298299297298298298298298297297296296296296296296296296295296296296296296296296296296296297296296296296296296296297297297296297297297297297297297297296297297296296297297297297298299298298299299299299298297298298298298298297298298300297298300299301300300300300300300299300300300300300300300300300300301301301301301301301301300300300299299299298298298299298298298298298298298297298297297298297297297296296297297296296296296296296296296297297297296296295296297295295294294294295296297297296295295296296296296297296296296295296296298297298298297296295295295295295298296296296297297297297297297297297297297298297298297297297298298298298298298297298297296296297297297296296296296296295295296295295294294294293294292293294294295294294294296296295296295295295296297295295294294294295294293296293293294 293294293292292291291292293291289291291291292292293292291292292292292293292293293290289290293999999999292294291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275279281282285285285285287289292291292290291291292292294292291292293294296295295295294294294295294294293294294293294294293293293293293292292292291291290290290291291292292292292293293292292292291291292293290292291290291291290289290290291292292292293293292292292292294294298295294293294293294293293293292293292292294293294295297297999297299300301300298297297297296295296296296295293293294294295293293293294294302999999999999999999999999295294295299300301298297298296999294293293297999999999999999999295295296294293290292290289290291291289287287287285285285286287286286286286286286284284284284283283283283282282281280281281280280281281281281282282282281281280280281281281281281282282282283283283284283283283283282283283283281281282283282283283283283284284286286287287287286285286288287287285285286285284287286287287288288288288289289288290289291290288288288289290289290292292291292292292292291294293293292293295293293294294294295293293293294294292292292292290290292291291289288292291290291290291291292292291291291291292291292291291290289290292288287287286286286285289288290286289288289288287289288289288286287288289289288288289290290290290290290291291293291292291291292292288287290288289289290290292292290290292292292292292292292292292292292292293293294293293294294295294296295295295295294294294294294294295295294295295296296297297297297297297298297297298297297298297297297298298298297297296297297297296296296296296295296296296296296296295295295296296296296296296296296296297297297297297297297297297297297296296296297297297298298298298298298299299298299299298297298298299299298298298298299300298299299300300300300300300300300300300300299300300300301299300301301301300300301300300300300299299299298298298299299299299299299298298298297297296296297296297297297297297297296297296296297297296296296297296297296297297295297296296294295294296296296296295296296296295296296297298295295296296297297296296295295296296296296297297297300297297297297296297297297297297297297297298298298298299297297298298298298297297297296296296296296296296296295294295296295293293293294295296293293293294294295294296296295295295296295296297297297296296294296296295296296295293295 294291293293291290290291292294290289291292290292292292292291291292292291291293293292289290289999999999290293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278281283285286287287288288288290290291291290292292293293295295292293296295296296294294294295294294294294294294294294293294293293293294293293293292291291290291290292292295293292293292293293292292291292291291293292292291290291290290289290290290292292293293292292292293294294293294294294293294294293294293294292291293293293295296297999999300299299301299299299298297296296296295296295292293293294295295293292298300999999999999999999999296293294293999999300297298296297296999294292294295999295294999999999294295293292292290289290291291291291288288288287286286288287287286287286286286286286285284284284283282283283283281281280281281281281281281281282281281281281281281282282281281281281283283284284283284283283283283283283282282281281282282282282283283283283284285285284286285287286286287285286285284285285285286287287288287288287288288289290290289290290289289288288290290291292291291292291292291292292292292292293292291292292292293294293293293292292292292290291291289290290289288290290290290290292291291289292292294293291290291293290291289290289292293288287285286286288286286286287288289289289289286287288288288288288288289288288289289289290291290289291292291291291291292293290291291291291290291290292293293291291292293293292291292291292292292292292293293294294295294294294295295295295295295294293294293294292293295294295295295296296296297297297296297297297298298298298298298298298297297297297297297296296297296296296295295296295296296296296296296296295296297296297297297296296297297297297297297297297297298296296296297297297298298298298298298299299299299299299298299299298299299298298298299300299299299300299300300300300300301300300300299300301301300300299300301301301300300300300300300300299299299299298298299299300299299299298298298297298297298298297297297296297297296297297296295295297296296297297297296296297297296297297296296294296296296296297296296296296295295298296296296296297297297295296297296297297297297298297298298300300297297297297298297297298297297298298298298298297297298298298298298298297297296296295296296296297296295295295295295294294294296295294294294293293294294294294294296295295295293295295295297295296295293294296295293295295294293 293293293293293290291291291291290292290292290292292292291290291291292291290291292291290291290289292294293294291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273276281284286286287288290290290290290290290290290291292293293293294293293294294294296295294294294295295294294294294294294294294294294294291292293292292291291291292290291291291292292291293293292295292292292293292292292292293293292291290290290291291291292293293293293294294294295293293294294295294294293293292292292293293293292293295296299299999298298300300300300298298297297296296295295295294294294297296294293295301298999999999999999999999289298298999999999999999295295295294999292293293294295295295999999999294294292291290289288287287290291289289287288285287287287287287287287286287287286286285284284283283283282282283281282282281281281282282282282282281282282281280281280281281280281282283283283284284284284283283283282283282282282282281281281282282282282282283284284284285286286285285285286286285285285285285286287287287287287287289290291290289289288288288288289288289291290290292291293290289291291291292292291291290290290291291293293293292292293292292291290290290290288287287289291290289290290292291291291291291293293292290294294291289289288290291292287289284287286287286287287288288288287289288290289290289289287286287288289288289289289290290291291291289291291291292292291290290291291292289290291292292290291292292292292292291291291292292292292292293294294294295295293294294295294294294293293293293293293293293293294295295295296296296296297296297296298298297298298298298298298298298297297297297296297296295296296296296296296295296296296296297296297297297297297296297297297297297298297297297297297297297297296297297297298297298300298298298298298299299299299299299299299298298299299299298299301300299299299299301300300300301300301301300300301301301301300301300300300300300300300299300300299299298299299299298299299299299299299299298298298298298298297297297297297297297297296295296296297297296297297297297297298297297296296296295295295296295296296297296295297296296296297297295295296295297295296296297297297298297297297298298298300300297297297297298297297297297297298298297298297298298298298298298298297297297297297297296296296296296295294295295296294294294294294294294293293293293294295294294294294293294295295297294296294295292293293293293293295294294293 296295293294293290291291291292292293292293292294293292291291291291291288290291292292292291292290292292293293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278283287289288289290290290290290290290290291291291292293293294293294294294294294294293294294295295295294294294294294294294294293294293293293293292293292291291290291291291291291291291291292291292292292292293293293292292292293292292291290290291290292292292292293292292293293295294295294294295295295294294294292291292294292293292295293294295999999999297299300301300299296296296297297296296295295295295296296295294295296999999999999999999999294295294297999999999999999294293294999999292293292294295295295295999999293294292291289287287287288288289289289288288288288287288287287287287287287287285285285285284284283282282283281281282282282282282282282282282282282282282282281281281281281280281282283283283284284284284284284283283283283282282281281281281281282282281282282283284285285285287285285286285286285286286286286286286287287287287288288290290289289289288289289289288288287289289289290291290290289290290291291291290290290290291291291292292291292290292291291291292291289288289288289291291290291291291291290290290290290293293289291292291290289287285284292290287286287288289288289288289289289288288288289288287290289287288287287289288288289290290290289290290291290290291290292291290291290290291291290291293292291291291292292292292291291292292293292292292293293294294293294295295294294294294294294293293293293292292292293293294295295295295296296296296296297296298298297298298298298298297297297297297297296296296297296296296296295295296295295296296296297296295297297298297296297297297297297298297297297297297297298298298298298297297298298299299298299299299300299299299299300299299299298299299299299299300300300299300300301300300301301300301301300300300301301301301300301300300300299299299299300300299299298299299299299299299299299299299299298298298298298298296297297297297296296296295297296296296296296297297297297297297296295296296296296296295297295296296296295295295294296295296297295295295295296296296296297297297298298298298297297300300300300297297298298298297297297297297297297298298298298298298298297297298298297297298297297296296296296296295295296295295295294294294295295294294293293293294294293293293294295296295295294294293293296295296292294294294293296293 297295293292293292292291292292293292293293293293293293293291291291291291291291291292292292292290289291293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284285287288290291291291290290291291291291292292292292293293295295294294294295295294293293293295295294294294294294294294293293294294294293293293293293293292291291291291291290290291291291291291292292291291292293292292293292294293292291291290290293292292292292293292291293293293294293294294293294294294293293293294293293293293292293292293293296999999999299300301299298296295296295296296295294294295294294294295295294294294294999999290289286999999295296999999999999999999294293290999999292292291292293293296297999999999292292290289288289290288289290289288289288288287287287286287286286286286285285285286285285284283282282282282282282282282283282282282282282282282282281281280280281281281280281282283283284283284285285284283284283283283283283283282280281281282282281282281284285286286286287285285285285285286286287285285286286287287287287289290288288289288289289289288289288288289289289290291290290291291291291290291290291290290291290291292291292292291291292292291291292292289289289289289290292291290291291292291291291291292294291290292293290289288290288287289287287287287287288289289290289290291289289290289289289290287288288288287289289289289289289290289290290290290291289290290292291290291291292291291291291290290290290291292291292292292292293292291291292293293293294294294295294292294293293294293293292292292292291292293294294294294295295296296296295296296297297297297297297297297297297297297297297296296296295296296296296295295295295295296295296296296295294296296296296295296297297297297298297297297297297297297298298299297297298297298299298299298298299299299299298299299299300298299298299298298298299299299299300300300300301301300300300300300299299301301300300300300300300300300299299299300299299299298298299299299298299299299299299299299298298297298297297296296296296296296296297296296296295296296296297296296295296295296297297297297296297296296296296296296296294296296295296294295296295295296297296297296298298298298298297298298300301300301298298298298297298297296296296297297298298298299299299298297297297297297298297297297296295296296296295296295295295295295296296296296296295294294295295294294294293295296297296294293292292293295292298294296295295293294294 296295294293293291292293294294294293293293293293292294292291290291290292291291291291291292293293292292294294999999294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999289999999999999999999999284285285286287288291291292292292291292292291292292292292293293295294295296295295296296294293294295295294295295294294294294294294294294294294294294293293294293293292292292292293292292292292291292291292292291292292293293293293293294293292292291292291290292293293293293293293291292293293291293294294294294294294294293293294294293294294293294294292295296999999999999301999999299297297296297296296295294294294293294293293293294293292292999289290290293999999294297999999999999999999292290999999999291291292292292293295295999999999999292290287288288289290291290289288288288288287287287287286287286287286286285285286285284283283283282282282282282282282282282282282282282281281281281280281280281281281280281282283283283284284284284284284283284284284284283282281280282282281282283284284284284285285285285286285285285285286285287285287286286286287287286289289287288288288288289289289289288288289290289290290290289290291291291290290291291292291291291292291292292293292291291291290291292290289291291292290289291290290290291291291292291291292293290291290293292290289288288286288290288287287287286288288289288289290290290290289288289289289287288288288288288286288288289290290290289290290289289289291292291291289291292292290289289289290290290291291291291291291291292292292291292293292293294294295293294293293293293293292292291291291291291291292294293294294294294295296295295295296296296296296297297297297296297297296296296296296296295295295296295295295295294295295295294296296295296295295296296296296296296296297297297297297297297297297298297297298297297299298298299299299299299299298299300300299299298298299299298298298298299299300299300300300301301301301301300300300300299300300300300300299299299300299300299300299299299299299299300299299299299299300299299299298299298298297297296295296297296297297297297297297297295296296296296296296296294296295297295296298297297297297297297297297296295296296295296295295295296296297297297296298297297297297298297297298298301301301298298297298298297297297296297297297299298297298298297297298297297296296296296296297296296296295295295295295295295295294296295295295295295295295294294294293294294295295296294293292292293292292292293293297293295295295298 295295295295293293292294294293294293294294293294293294293292290290291292291292292291292291292294294294295295294293293291290291293294999999999999999999999999999999999999999999999999999999999999999999999999999289292999999289288288288289288289289290291291291291291292292292292291292293292294294294294294294295297295295295294294295294295295293294293294294294294295294294294294293294294293293293293293293293293293292292292291292292292292292293293293292292292293294293293292291292291292293294294294293293293293292292292293294294294294294294295294293294294294294293293294294295295298999999999999301302300299297296297297296296296294294294294292293294294294293293292999289289290290290999294292999999999999999999290292291999999999292293293294291293293999999999999999292291287285287290291291291291290289288289288288287287287287287286285286286286285285284284284283282282282282282282282281281282281281281281281280280280280280279281282280281282283284284284285285284284284284285284284284282283282282282282282283282283284284284285284284284285285285285285285284287286287286287287288287287287288287287289289289290290289289288289290289290289290289289290291292292291291291291290291291292292293291293291291291290291291292292291291291290292291292291291291291292292293292291290291289290292292291291289288288289286289290288286286287287288288289288288289290291290288289289289287289289289288288287286287288290291291291290289290290290290290291291290289290292291291290292290289289290290290290290290289291292292292292293292292293294294294292293293293293293293292292291290292291292292292292293293294293294295295294294295295295296296297297297297295297297297297296296296296296295296295295294295294295295295295295295295296296296296295296295296296296296296296297297296297297297297297297297297297298299299299298300299299299299299299300300300299299298299299299299298298299299300300300301301301301301301301301301301301300300300300300300299300300301300300300299300299299299300299300300299299299300300300300300300299299298297297296296296296297297298297298297298297297296296296296296294296295295295295295296296297296297297297297297296297296294297296295296295296296296295296297296296296299298298297298298298298298298298298298298298298298297296297296298297297297297298298297297296297297297296296295296296296296296296296295296295295295295294296295294295294295295295295295294293295297296295298296295294294294295295294294296297294294293295293295 295295294295295295296295295294295294294294295294294293293292291293293292291292292291292292292294295295296296295294293999999290290291293999999999999999999999999999999999999999999999999999999999999999999999291290290289290291290289290290290290291291291291291291292292292292292292293292293294294294294295295296296295294295295295295294295293294294294296296297295293295294294294294294293294294293293293293293293293292294294292293295293294293293293292292292291293293293291292292292291292293293294292292293292292292293292293293293293293294294295294294295295295294295294294293294999999999999300301301299299297297296296297295296294294294293294293294294294294292292293291291291289290292291292293294999999999999291291291999999999999292292293293293293294293999999999999291291290287288290291292292290290290289289288287287287287287287287286287286286285285284284283283283283283283283283282282281281282281281281281281280280280280280281282282282281283284284284283284285285285284285284284284284283282282282282282283283283284284285284284284284284285285284285285287286286287287287287286287287287287288289289289287289290290289289288289290289290290290291290293291292292292292290291291291291291292292291293291291291291291292290290290291291292291292293292292291292292291292291290291290289290290290289289288288288290289288288288288288288288288289289289289291290291289289289288288288289289289287288288287290289291291291290290291291290290291290291291291291292292292291287291288290289290290289290290290291292292292292293293293293294293294293293293293292292292292293292291292291291291292293292293294293294294294294295295296295296295296297296296297296297296297296296296296296296295295295295295295295295295295295295296296296296296296296296296296296296296296296296296297297297297297297297298298299299299298298299299299299299299299299300300298298299299299299298298299299299300300301301301301301301302302301301301301300301301300301300300300300300300299299300300299299299299299300300299299299300300300298300299299299298298297297297297296297297298298297297297296295296296295296295296296295296295295295295296297296296295296296297297296295294296296296296296296296297296297297297298298299299299300300298298299298298298298298297297298298297297297297296297297297298298297297297296297297296296295296295296296296295296296296295295295295295296295294295295295295295294295295294294296296296296297296293292294294294294295294293292293291294293291292 294295296294294295295295295295294295295295292296295294292292291291292292292293293292292292292292295295296295294294293999999290290290290291999999999999999999999999999999999999999999999999999999999999999289290290291291291291291290291291291291291291291291291292291292292292293294293293293294294294295295296297297296294295294295295295294294293294297294295296294292296294294294294294294293293293293293293292292292293294295293292294294293294293293293293293292293292292292292292291291292292293293293293294293293293292293293292293292296296296294294295295295295295294295294293296999999999298298299299298298296297296296295295293293293293293292292292292293293292292292291290290290291293292292294293999999999999289290292999999292290292290293293292293293292999999289287290292291999288292291292290290290290290289287287288288287288288287287286286285285284285284284283284284283283283283282282281281281281281281281281281280281280281281282282281282283284284283284284285286285285285284284284284284282283283283283284284283284284284284284284285285285285285285286287287286288288287287287287287289288288288289288290290290290289290290290290289289290290290291292292292291293292292292291292292292293291291292293291291291292290291291291290289292293292293292292292291292291292292292291290290289289290289290291290290290289289289288288288287288289289289289290290292291291290287287288288289289287287288289288289290290290291291291291291290291291291291293292292293293292291290290290288289290290289289290291291291291292292292292293293293293293293293294292293292292293291291291292290291291292292292293293294295294294294295295295296296295296296297296296296296296296296296296295295295295295295295295295295295294295296294296296296296296296295295295295295296295296296296296297296297297297297297297298298300299299298298299300300299300299299301300298297299299299299298299299299300299300301301301301301301301301301301302301301301301301301301300300300300300299300300300299299299299300299300301300300299300300300299298298298298298298297297297296297298297298298297297296296296296295296296296296296295296296296296296296296296296296297298296295296296297296296297296296297296297297297298299299299299300300299298298299298298297298298298297297297296296297296297297296298298297297297297296297296296296295296295296296295295296296295295295295295295295295294294295294294294295294295296294296296295295295295293294294294294295295294293292294293291292292294 295294294294294294294295295296296295296296296295294293292293292293292293293293293292293292292292294296295295294295294294288288289290288291291292999999999999999999999999999999999999999999999999999999999999289291292293291293292291291291291291291291292292292292292292292293293293293294294295294294295295296296296295294294293294294293294293293293294293293294294294294293294294294294293294293293293293293292292292293292293293292293294292293293293293293292293292292292292292291291293293293293293293293293293293293293293293292295295296296296295295295295295295296295294294999999999999296298298297297298296296297297296294294293294295295293293292292293294294293292293290289289293292293292292293292999999999999289290999999291293293294295999293287293291289999999289288290292291999290289290290290290291290290288288287287288288288288287287286286285284283283283283283283282283283282282282282282281281281281281281281281280281281282282281282282283282282283284284284284285285285284284284285284283283283283284284284284284284284284284284284284284285285285287287287287286287289286287287287288288288288288288289290289290290290289289290291289290290290290292293293292292291291291291291292292291292292291292292291291292293293292291291290290291293292292292292292291291291291291291291291289289289288289288289288288290289289289287287287288289289290290289291289289292291289290288289290288288289287288287289289290289289291291291291292290291291291291292292293293292291291291290290289290290289290289290290291291291291292292293294293293293293293293292292292292291293295294291291290291291290292292293293293293293294294294294295295295295295296297296296295295296295296296295295295295295295295296296295296296295296295296296296294296295296296296295295295296296297296297296297297297297297298298298298298299300300298298299300299299299299301301301299299299299299300299299300300300300300300301301301301301302302302302302301301302301302301301301301300300300300299300300300299299299300299300300300301300301301299299298298299298298299298298298297299298298298298297297296296296297296296296296296296295295294296296295296296296296296295296296296296296296297297297296296297296297297297298299298299300300299298298298298298298297297297297297297296296296296296296296296297296297297297296297297296296296296295295296295295295293295295295295295295295294294294294294294295295295295296296295295296295295296295295294295295296295293293294293293292292293293294 295294295294291292294295295295295295296296295294294294294294293293293294294292293293293294293294293293295294295295294293290289289289289291291291290288999999999999999999999999999999999999999999999999999289290291291295293292292292292292291292291291291292292291292292293293293293294294295295295296296296296295294294294294293293294292294294294294294293293294294294294294294294294294294294293293293293292292291292292292293292291292293292292293293293293291292292292292291291291291292292293294292293293294293293293292293294293295294295295295295295296295296296296295296295999999999999294295295295295295295296296296294294295292291292292293293293293293293293293291292290290289291294292293292293999999999999288289999999292293294293295999999999999291290289288289290290289291290291999288290290290290290290289289288287287288288288288287287286285284283283283283283283283282283282282282282281281281281281281281281281281282281281282281280281281282282282283284284284284286286285285284284285284283284284284284284284285285285284284284284284285284284285286287287287287287288288288288288288288290288288288289290290289289290290290290290290290290291291291292292291291291291291290291292291292293293292292292292293291292293292291291291290293293292292293292292291291291291291292293291291291289289288289289288289289289289288288288288288288289289290290290293291290290292290292289289290288288289289290288289288289289290291291291291292291291291292292292292292292292292291291290290290290290290289290291291291291291292292292292293293293294293293292292292291291292293294294291291291292291291291292294294294293293294295295294294295295295295295295296295296296296296296296295295294295295295295296296296296296296296296295296296296296295296295296295295295295296297297297297297297298297298298298297298298299299299299300300300299299299299299300299298299298299299300299299299300300299300300300300300301301302302301302302301301302301301300301301301300300300299299299299300299299300300299299300300301301301299300300299299299298299299299299298299299298298298299297297297296295296296296296296296295295296296297296296295296296296295295295296296296296296296297297296296296297297297298298299300299300300299299298298298298297297297298297297297297296296296296296296296297297297297296296297296296296296296296296295295296295295295295295294295295294295294294294295295295295295295295296296297295295295297297295295296296295295294294294294294294294294294295 294295294293294293293294293294295296296295295295294294294293293293293293294293294294293294294292293293294295295294293293291291291290289288288292291289289999999999999999999999999999999999999999999999288289291292292293294293291291292292292292292292291291292292292293293293293294294295295295295296296296296295295295294294294292292292292292293294293293293293294294294294294294294294294294293293292292292292292292292291291292292291291292292293293293292293292292292292291291292291291292293292293293293294292292293293294296294295295295295295296295298296298296296295297999300297295295295298296295295296295296296294294298294292292293293293293293293292292292292291290290290291291288293999999999999999999999290291999999293294294294999999999999999291291290291290290289290291290288290288290290999289290290289289288287287288289289288287286285284284283283283283283282282283282281282282282281281281281281281281282281282282281281282281281281281281282282283284284284284286285285285285285285284284284284284284284284285285285284284284284284284285285285286286287287287287287288288288288287288288288288289289290290290289289290290291290290291291290291292293293291291291291290290291291291290292292293292292293292292292293292292293292294292292292291292292291291291291292292292291291291291289290290290288289288288288289288287288289288289289289289289290292290292288291292291291292290290290290289288288289290290289289290290291291292291290291292292292292292292292292291291290290289289289289289290290291291290291292292291293293292293292294293292292292292294293292293293292290289292291291291292294293294293293294294294294293295295295295295295295295296294295295293295295295295295295295296296296296296296296296296295295294294295296296296296295295295295296297297297297297297298298298299298298298298298299300300300300300299299300299300300299300298299299299299299299299299300300301300300301301301303303302302302301301301303302301301300301300300300300300300299299300300300301300300300300300301300301301301300300299300299300300299300299300300300299299298298298297297297297296296297296296296295296296296296296295296295295295295295296296295296296296296296296297296297297298298298299299300300300299299298298298298298298298298297297297296296296296296296296296297296297296297297297296297296296295295295295295296295295295296296295295296295295295295295295295296296296296296296296297295296295295295296295296296295296295297294294294293295294293295 293293292293292293294293294295296296294295294294293293293293293293293293294294295294293294293294294294293294294294293292291291291291290288289293295290999999999999999999999999999999999999999999999999291290292292293294295294294293293291292291292291292292292293292293293293293294294295295295296295296296295294294294294294293293292293293292293293294294294294294294294294294294294294294294293293293292292292292292292291291291292291291291291292293292292291291293291291290291291292291292293293295294294294294294295293293295295295295295296295297297297299297296298298999300299296296295296297296295295296295295295295294295293291292293293294293293293293292290292290290289291291292287999999999999999999999289291290999999293292999999999999999999999291292291291292291291291290290289292289290293999288290290290289288288288288289288287287286285284284283283283282282282281281281281282282281281281281281281282282282282282281281281281281281281281281282282283283283285285286286285285285285284285285284284284284285285285285284284284284284284284284285285286286287287287287287288288289288288288288288289289289289289289289290290291291291292291291291291291292292291290290290291291290290289290292292292293293292292292292292292293292292292292292292291292292292293293292292291291291291291290290290291290290289289289289290288289289289289290290290290290291289290292292292292291291291290289291291290288288290290289288290291290292292292291291292292292291292293291291292291290290289289289289289289289290292291291291291292292292292292292292293292292293293293292293293293292290291291292291291292293293294293293293294294294294294294294295295294295295295296295295295294294295295295295295295296296296296297296296296296295294294292295296295295295295295295296296296296297297297297297298299299299298299298299297300300300300300299298300300298299299300299299298299299300300299299299299302301301301302303303303302302302301301301302301301301301301299300300300300300300300300300300301301301301300301301301300301301301301300300301301301300300300300299300300300299299298298298298297297295297296296296296296297295296297296296296296296295296296296296296296296297297297297298297298297298298300299298299299298298298298298298298298298298297297296297296296296296296296296296296296296297297296296297295295295295296295295295295295294295295295295296295295295295295295295296295295294295295296296295295295294294295295295295294295293296295294295295295294293295 295293293292292292292293294296295294294295295294294295294293293293293294295295295295294295295295295294294294294294293292292291291290290290291293296999999999999999999999999999999999999999999999999285289292292292294294293293292292291292292291291292291291291292292292293292293294294294295295295295296295294294294294294293293293292293293293293293293293294293293293294294293293293294294294293293292292292292291292291291291290291290290292292292292292293290291292291291291291291292292293294294295296294294293294294294293295295293297295295295297297297299297297299999999297296296296296296297297296295295295295295295295293293292293293293293291292291293291290292290289290291293293289999999999999999999999287289999999293293291999999999999999999999999290291292291292292292292999999291291291293292290290290289289288288289288287287286286286285285283283283282282281281281281281281282281281281281281281281282282282282282282282281282281281281282282282282282283284284285286286285285284284284285285284284284284285285285285285284285284285284285285285285286286287287287287287287287288288288288288289289289289289289289289290290290291291292292291291291292292292291290290290291291290290289290291292292292293293292292292292291291292292293292291292292292292292292292291291291292292292292291291291291290290289289290290290289289290290291291290291290291290291291290292292290291292291291291291291290291290290291290290291292292291292292291291291293292293293292292292291290291291290290290290290290290292292291291292291293293293293293293292294293293294293292292292292293292292291292291291291292293294294293294294294294294295294294294294295295295294295295296296295295294295295295295296296296297296296297297296296296295293294294294296296296296296296296297296296296296297297297297298298299298298299298299300300300300299299298299299300300300301300300300299299299299300299299299300301301301301302303303303303302302301301302302301302302302302302300300300301300301301300300301301301301301301300301300301301301299301301302302300300300300300300300299300299299299299299299299297297297296296296296296296296295297297297296296296296296296297296296296297297296296296296298297297298298298300299299298299299299298298299298299298298298298297297296296296296296295295296296296296296296296296296296295295294294295295295295295294295295295295295295295295295295295295295294295294294295296294294294295296296295294294295294295294296294294295297295294294294295 293293294293293293292295296296295295295294295294294294294294294294295295295294295295293295294293294294293294294294293292290289290289288289291292297999999999999999999999999999999999999999999999999999290291291292293292291292292292291291291290291291292291291291292293293293293294294295294294294295295294294293293294293294293293293293293292293293293293293293293293293293293293293293294293293292292292292292293291291291291290291291291291292292292291291292292292291290291291292292292293294294295295295294294294295293292293293294294295295296296298297297297299999999999293295295295295296296295295295295297295296293293293294293292293293290291290290290290291290289289290291293294290999999999999999999999289290999999291291291999999999999999999290290291291291291291291292292999999291291291999293292290289289289288287288288287287287286285285284283283282281281281281281280281281281281281282282281281282282282283282282282282282281281282281281282282282283283284284284285285285285285284284285284285285284285285285285285285285285285285285285285286286286287287288287287287287287288287287287288289289288288289289289290290290291291291291292292291291292292292291290290290291290290290290291291292293293292292292293293292293293292293293292292292292292292293292291292291292292292292292291291292291291290290290290290290289290290290291292291291292292292291292292292292292291291290291291292292290291291291291291291292292293293293292292292292292292293293293292292292291292290289290290291291291291292292293292292292293293292293293293293294293293293292292293292293292291293292292292291291291292294293294294294294294294294294294293294294294294295295294295295294295295296296296295295295296295296296296296295296296295296293294296295296296296296296297296296296296296297297297297297297298298298299300300300299300300298299299300300300301301300299300299299299299299299299299299301301301302302303303303304303303302301302302302302302302302302301302301301301301301300300301301301301301300301301301302302301301301301302302301301300299298300300300300299300300299299300299298298298298296296297296296297297296295297295296296296297296297297297296296296296296296296296297297298298298298298298299299299298298299299299298298297297297298298296296296296296295295295296296296296296295296295295295295294294294295294294294294294294295295296295295295295295295294294295294295294294294294294294295295297295294293294294294294292294294294295296293292294294295 293294295293293292293293295295295294295295295294295295295295295296295295295295294295294294294294294293293292293293292292291291289290289289289291999999999999999999999999999999999999999999999285999291291293292293292292292292292292291291291291291291291291291291291293294294294295295295295295295295294293294293294293293293292292292292292291293293293293293292293293292293293293293293293293293292292292292292291291291291290290290291291291291290292292293291291290290290290291291292292293294294295295294295295295294294293293293295293295296297297298296298297999999999999293294295295295296295296295295295293296294294293292293292291292291291290290290290289289289289290290291292292292291999999999999999999288289999290291290290289289291290290290291291291291290290290292292293999999999291291291293293291288288288288288288287286286286285285285284283283282281281281281281281281281281281281282282282282282282282282282282282282282282282281281281282282282283283284284285285286285285285284285285285285285285285285285285285285285285285285285285285286286286287287287287287287287287287287287287288288288288288288288290291291292292291292292292292292292292292293291289999289290291291290290290291292293293292292292292292293293293292291293293293293293292292292292291292292292292292292292291292291292291290290290290290289290290291291291291291291291291292292292292290292292292292290290290291292292290292290290291290292292292293292292291293293292293292293292292291293292292290290291290291291291292292292292292292291292292293293293292293293292292292292293292292292292292292292292291291292292293292292293293294294294294294294294293294293294295295295295295295294294295295296295295295295296295296296296296295296296296296293294295295295295295296296296296296296296297297297297297297297298299298298299299299299299299298300300299300300301301300301300298299299299299298299300300301301302302302302303303302302302301301302301302302302302302302302301301300300300300300301301301301301300300301300300300301301300301301301301300300300299299300300300299299299300299299300299298297298297296296296296296296296296296297295295296296296297297297298296296296296296295295296297297297298298298298298298298298299297298299298297297297297298298297297296296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295295295295295295295295294295295294293294294294295295297296296296295295295295294295295295294295295296294294295295295 295293292293293292293294295294294295295295295295295295295295295295295295295294294294294294294294294293292292292292291291290288288289288289287290999999999999999999999999999999999999999999285286288290291291292293293292293292292292292291291291291291291291290293294294292294295294295295295295296296295294294293294293293292292292292292292292293293293293293293293293293293293293294293293293292292293292292291290291291291291290290290291290290291291292291292292290290290289291292292295293294295294295295295294294294294294294294294294296296297297298297298999999999999293293293294294294294294296294294293293292293292292292293293292291292290291290291288289289289288289291292291292292291290999999999999999999290999290290290290288289290290290290291291291291290290291292293294294291999999999292293292291289288288288287287287287286286285284284283282282282281282281281281280281281281281282281282282281282282282282282282282282282282281281281281281282282283283283284285285285285285285285285285285285285285285285285285285285285285285285286286286286286286286287287287287287287287287287287287287289288287289289290290290292292292292292291292292293293293292291291288290290290290290290289290292293292292292293292293292293293292292293293293293293292292292292292291291292291291292291291292292291291292291291290290290290290291291291290291292292292292292292291292291293292291290291290290291290291291288290291291291289291292292292291292291292292292293291291291292292292291290290291291291291291291291291291291291292292292292292293292292292292293292292292292292293293292292292292292292291293293293292292293293293294293293293293293293293293294295294294294294294292294294294294294294295295295295295296294296295296295296295296296296296295296296296295295296296296296296297297296297298298299298297298299298297297298299300299300300300300300300300300299299299300299299299300300300301301300302302302301302302303302302302302302301302301301302302301301301301300300300300300301299300301301302302301301300300300301301300301301300300299300300300299299299299299299299299299299298298298297297297297297296297297297296296296295297297298298298298297298297295296296296297298299297298298298299299299297300298298298299298298298298298298298297297296296296297297297297297297297297297296296296296295295295295295295295295295295295294295295295295295295296296295295295294295295295295294294294295296295296297296295295296295295296296296296296295295293294294294 294293292294292292293295295294295296296296295296295295295295295295296296295295295295294294294294294292291291291290290290289290290288290289287288999999999999999999999999999999999999999999288289291290291291291292293293294293293293292292291291291291291292292293294294294294294294294294294295296296294295294293294293292292293292292292291293293293293293293293293293293293293294293293292294293293293292292291292291291291292292292292291291292292292292291292291290291291291292292293293295295295295295295295295295295295295295295295295296296298299298299999999999999290293293293293293294294293292293294294293291292292294293294294293292291291289290290290290290289289290292292291291291293292292295999999999999999292291290290290291291290290291291291291291290291291292293293294294999999999999289292291289289288287287286287287286285285284284283282282281281281281281281280280280280281280281281282281281282282282282282282282282282282282281281282282281282282283284284285285285285285285285285285285285285285285285285285285285285285285286285285286286286287287287288287287287287288288287288288287288288289289290290289290291292292292292292292292293292292292293290289290290289292290290291292291292292293292292294292293293292293292293292292292293292292291292290290291291292291292291291291291291291292292291290290290290290292292292292290291291292292291291291292292290290289291291288291292291291290292291291290290291290291291291291292291291293292291291291292291290291291290291291291291292292291292291291291291292292292291292292292292292292292292291291292292293291292292292291291292291291293292293293293293293293293293293293293293294294294294294295294294293293293293294294294294294295295294295296296297295296296296296295296296296296296296296296296296296296296296297297297297298298299299299298299298298298298299299300300300300300301300300298299300300300299299299299300300301301301302302302302302303303303302303302302302302302302303302302301302301301301300301301301301300300300301302301300300301301301299301301301301301301301300300299299299299299300299299299300300299298298298298298298297297297296296295296294297298298298298298298298297297297297297298299298298299299299299298298300299299299298298298298298298297297297297297296296297297297297297297297297297297297297297296296295295295295295296295295294295295295295295295296295296295295295296295295295295294295294296296296295296295295295296297296295295296296296296295294293293295295 293293292294292292294295295296296296296296295296296295296296296295295295295295296294294293294294293292291290291290291290290290290288288288287292999999999999999999999999999999999291292292292291292292292292292293293293294294293293292292291292291291291293293293293293293295294294293293294294295294293293294293293293292292291292293292292293293292293292293292292293293293293293293294293293293293293292292292292292292292292292292291292292292292292292292292292291292291292293292293294296296296295295295296295295295296295295295295296296297298297299999999999999293290293294293293295294292292293293294294292293292292295294294294294292291291292291291290290290290289292292292292292292292293293295294999999999999291290290290291291291291292291291291291290290291292292294294294294999999999999999292999289288288288287287287287286286285284284283282282282282282282281281281281281280281281282281282282282283283283282282282282282282282282282282282282282282283283285285285285285285285285285285285285285285286286285285286286286286286286286286286287287287287287287287287287287288288288288288287287288289289289290289290290292292293293292293292293293292291291291290290290290291291292292292291291291292291292293292292293292292293293292292292292292292292292290292291291291291291292292292291292291291292292292291291291291291292292292293292292292292292292293292292291292290292291291293292292292293292292291291290291290292291291292293292292292292291292293292291292291290290290291292291292292292292291290291291291292292292293293292292292292292292292292293293293293292292292292292292292293292292293294294293293293293294294294294294295294295294294294294295294293293294294294295295294294295295295295296296297295294295296295296296296296296296296296297296296296296296296297297297298298298299299299299299299299298299300300300300300301301301301301299301300300300300300300299299300300300300302302302302302303303303303303303303303303303303303303302302301301301301301301301300301301300300301301301300300300301301300302302301300301301301300299300299299300300300300300300300300299299298298298298298298297296297297297297296296297298298298298299298298297297297298298298299299299299299299299299299299299299298298298298297297297297296297297297296297297297297297297296296296296297297296296296296296296295295295295294294295295295296296295295295295295296296294295295295295294296295297296296298295297297296297297296296296296296296296295295295293297296 292293295292292293295296296295295296295295296296296296296296295295294295294295295294294293294294293292293292292291291291291291290289288288288292999999999999999999999999292292291292292292292292292292292292294294293293294292292292292291292292291292292292292292293294294295293294293294294294294294293294293293293293293294292293293293293293293293294293292294292293293292293293293293293293294293293293293292293293292292291292292292293292292292292292292292292291292292292293294295295295296295295295295296296295294293294294294296296296296295999999999999294294293292292293294294293294291292293293294294294292292291291293292293294291291291291291291290291291290291291293292293291292292291293293291999999999289293290999999290291290290291291291292292292999291292293293293294294999999999999999999999288288288288287287286285285285285284283284283282282282282281281281281281281281281281282282282282283283283283283282282282282282282282282282282282284284285285285285285285285285285285285286286286286286286286286286286286286286286286286287287287287287287287287287288288288288289289288288288288289289290290290290290291291293293292293293292292293292292291290291291291291290290291291291291291291292292291290292290291293292293292293292292293292292292292291291292291291291291291292292292292292292292292293292292291291292292293293292293292291290293293292292291291292292292290291293292292292292292291292290290289290292291292292293294293292293293292293292292291291291292291290291292292292292292291291291290291292292292293292292293293293293292292293293293293293292293292292292292292292291293293293294293293293294294293295294295295295294294294295295294294293294294294294294294293295296295296296296295297297295296296295295296296296296296296296297297296296296296297297297298298298298298298299300299298298298299299301301301300300299299300301301301301300300300300300300300300300300302302301302302302302302303303303303302302302304303303303303303302301301301301301300301302301301302302301300300300300300301300301301301300300300300300300299299299299300299300300300300300299299298299299299299298298297298297297296297296297297298298298298298298298298297298299299299298299299299300299299299299299299298298299298298297297296297297297296296297296296296296297297297296297297297297297296296296296296296296296296295296295295296296295295295295295295295294294295294294294295296297296297297297296298297296296295295296296297296296296296294292297296 292293294295292294295296296295295296296297297295296296295295295295295295295295294294294294294294293293293293293292291291290291291290289289290293999999999999999999999292293293292293292292293292292292292293292293293294293292293293292292292291292292291291292293294294294294294293293294294294294294293292293292292293294293293293293293293292293292293293292293292293293293293294294293294294293293292293292293294293293293292292293292293293293293293293292293293292293292293294295295295295296295295295296296296296295295294294295295295295295999999999999294293293293292293292294292293292292292293293293292294292291291293293292293295290290290291291290291292291293291292292291291291291290291293292291290288289290291291290290291291290290291291291291292292292292292294293294294294999999999999999999999289288287287287286286286285285284284284283283282282282282281281281282282281281281282282282283283282283283282282282281281281282282282282283283283284284284284285285285285285285286286286286286286286286286286286287287286286286286286287287287287287287287287288288288288288289289289289288288289290290291291291291291293292293293293293292294292292292292291291291291291292291291291291291292291291292292292291291290292292292293293293292293293292292292291291291290291291291292291292292292292292292292293293292292291292291292292291291292292292292292293292292292291292291291289291291291291289290291292292291290290290291292292293293294294293293293292291291292292291290292291291292292292292292292291291291291291291292292292293292292293293293292293293294294293293292292292292292292292292293294293292294293294295294294294294294294295295294295295295294294294294294293294294294294295295296296296296296296295296295296295295295295295295295295296296296296296297297297297297297297297298299299299299300300299300299299299301301301300300300299300300301301300300300300299300300300300301301301301301300300301301303303303303303302302302303303303303304303303303302302302302301301301301301302301301301300300300301301301301301300301300301300299299300299300300301301300300299300300299299300299299300299299298298297297298297297297298298298298295298296297298297298298297299298298298298299299299299299299299299299298298298298297297296297297297297296296296296296296297297297297297297297297297298297297296297296295296296295295295295295295295295295295295296295294294293294296295295295296297296296295296298296296297296296296296297296296296295295295295295 292292293293292294295295296296295295297297297297296295295295295295295296295296295294294294295295294294293293292292291291291290291291290291292294999999999999999999291293293293293293292292292292292292293293293294294294293292293292291292292292292292291292292293294294294294293293294294293294293293292292292292292293292292294293293292293293292292293294292293292293292292292293294293292293293292293293293293294294295294293293293293293293292294293294294293293293293294294295295296296296296296296294295295295296294294294294295295295294999999999999292293292292292293293294291291292292294293294293294293294293291292292292292292292293291291291290290291291290290290291291291290291291291292292291290290291291291290290291292291291290290291290291292293293293999293295295999999999999999999999999999999999287287287286287287286286285284284283283283282283282282281281282283283282281282282282283283282282282282281281281281281281282282283283282284284284284285285285285285285285285286286286286286286286286286287287287287287287286286286287287287287287287287287288288288288289289289290290289289290290290290291290291291292292292292292292292292292292291291291291290290291291291291291291290291291291292293291291291290291292292292292292292292293292292292292291291291292291291292291292292292292293292293293294293293292292291292292292291291292291291292293293292291290290290288290291289291291291289291291291292289290291291291291292292294294293292292292293292292292292291292292292293292293292293292292292292292292292292292292293293292292293293293294293294294294293293292293293293293293294293293293293293294294294294294294294294294294295294295294294294293294294294294294294294293296296296296296296296296296296295295296295295295295295296296297296297297297297297297297297297298297298300299299298300300299299300299298300300300300300300300300299301301302300300301300301301300301301301301301300301301301302302303303303303303303302303303303303303303303303302303303302302302301302302302302302301301300300300299299300301300299299300299299299299300300300301300302300300300299299299299299300300299299298298298298298297297297298298298298297298297298298298298298298299298298298298298299299299299299299299298298298297296296296297297297297297296296296297296297298297297297297298297297297297297296296296296296296296295295296295295295295295294295296296294294293294296295295296296295295296296298298297296296295296296296296296297296296296296296296296 294293294294292295296296296296296295295296295295295295295295295295294295295295296295295296296295294294294293292291292291291291290290291291291293999999999999999292292293292292292293292293293293292292293292293294293293292292292292292292292290291292292292292293294295294293293293293294293294293293293292292292293292292292292292293292292293293292292293292292292292292292293294294294292292294294294293293293294294294294293293294294294294293295294295293293294294296296295297295295296298296296294295295296295295294294296296296296296999999999999292291290290290291292290293290291294294294294294294295293295293292292292291293290291291289291290291292292292291291290290290290290290290291291291291290289291291291289289291291293292290290290290291292292293293999999292292999999999999999999999999999999999287287287287287286286285285285284284283283282282282282282283283283282281281282281282282281282282282281282281281281281282282282283283282284283284284285285284285285285285285286286286286286287287286287287287287287287287287287287287287287287287287287287288288288289289289290290289289289289290290290291291292292292292292293292293292292292291291291291291291291291291291291291291291291292292292292291292291291291292292293292291292293293292292292292292292292291291291292292292292292293293292293294294294293292292292292292292292293293292293292292292292291292291290290289290291292291291289291291292291290292291291292291292293294292291291293293293292292294291291292293293293293293291291292292291292292292292292292291292292291292293293294293294293294293294293292292293293294294294293293293292295294295295294294294294294294294295295295295295295295294294294294294294295295295294296296296296296296296296296296296295296295295296296296296296297297297296298298297297297296298298297297298299299299299298299299299299300299300300300300301301301301302300300301301301301300300301300300300300301301301302302303303303303302303303303303303303303303303302303303303302302302303302302302302301301301300300300299300300300299299299299300299299299299299299300300300301300300298298298299298300300299299298299299299298296297298298298298299299298299298298298298298299299298299298297298299298299298298298299298298298297297298296297297297298297296295296296297297297297297297298297297297297297297296296297296296296296295295295296296296296296296296295294296295294295296295295295295295294295296297297297297296296297295295296297296296296297295296296297 292293295294295294295296295295295294295295295295295296295294294294294295294294296295295296295295294292293292292292291290290290290290289290292296291999999999999292292292292292292293293293292293292291292292293293293292292292292292292291291290291292292292292293293294293293293293293293294294293293293293292293293292293292292292292292291291291291292292292292292293293293294294293293293293294295293293293294294294295294295294295295294295294294294295295294295295296296296297296297297297296296296295294294294295295296296297296295999999999999290290291290291289290290290290290290291293292292293293294294292292291292291294290289290289289290291289290291292292290289289290289289289289289289290290288289290291292291291293292292292292290289290291292293294294999999999999999999999999999999999999999999286286286287286286286285285285284283282283282281281281281281282282282281281282281281282281282282282282282282281281282282282282282282282283283284284284284285285285285285285285286286286286287287287287287287287287287287287287287287287287287287287287287288288288289289289289290290290289290289290291291292292292292292293293293293292293292291291291291291291290291290290290290291291290290291292292291291291291291291293292291292291293292293293293293293292292292291290293291291292292293293293293294294293294293293293292292293293292292293291290291292293291292291290290291291290291290290290289289291292292291292292292293292292292292291290293293293293293293293291292293292293293292292292291291291291291291291292291292292293292292292293294294294293294294293293293292294294293294295293293294294294294295295294294294294294294294294295295296296295294294294295295294294294295294295295295295295296295296296296296296296295296295296296296296296297297297295296298297297297298298297297297299299298298299299299299298299300300299300300301301301301302301302301301301301301301301301301300300301301301301302302304303303303303303303303302303303303303303303303303303302302301303303303302302302301301301300300300300300301300300300298299299299299299299299299299300300300300299299299299299299300300300300299300300299299299299299299298298298299299299299299299298299299299299299299298298298299298298298298298298297297297297297298296296296296296297297296296296297298298297298298298298298298297296297296297297296296296296296296295296295296296295296296295296295294294295295294295295296295296296297296297296295296296297296295297298297297296297298297298 295295294292293294294297296296295295295296296296295294294294294295295294295295295295294294294294295293292291291290291291290290290290289291294295999999999293293292291291292292292293293293293292292291291291292292292292292292292292292292292292291291292292292293294294293294293293293293293293293293292293292292292292292292291291291291291291291292292291292292292292292293293293293293294294294294294294296294295295295294294294295294294295295294294294295295295295295296296297296296297296296295295294294293293294295295296296298999999292295293292291291292291290293290290294291291290291291290291291291292291291292293291290289289289289289288289291293291291292289288289288289289288290290289290290289290291292290292999291291292293292291291291291291293294296999999999999999999999999999999999999999286287287287287287287286286286285285284284283282281281282282283282282283283283283282282282282282282282282282282282282282282283283283282282283283284284285285285285285285285285286286286286286286287287287287287287287287287287287287287287287287287288288288288289289289290290290290290290290290290291292292292292292292292293293293293293292292292291292293292292291291291291291291290290290290291292292291291291291291291291292292293293293293294293292292293293293293291291292292292292291292293294293293294294293293293293293292292293292292292291291291291292292291291291291291291292292290290290289292291290291290290291292292293293293293292293292292292292292292292292292293292292291291292292291291291292292292292292292293293292293292293293293294295294293293294293293294294294294293293293293293294295295295294294294294294294294294294295296296296295295295295295295295294295295295295295295295295296296296296296295295295295296296296295296296296296297295296297298298298298297297297299300300301299299299299299300298299298299298299301301301301302302302301301301301301301301300301301301300301301301302302304303303303303302303303302303303304303304304304303303303302302302304302303302302302301301300300300300301300300300299300300300299299299300299299299299299300300300300299300300300300300300300299300300300300299298299298299299298297299299299299299299299300300300299299299300298299299299298298298298299298298297297297297296296296295296296296296296297297297297297297297298297297297297297297297298296296296296296296296295295294294294294295294295295295294295296296296295295295296296297296296296297296296296295295296295297297296296296298299298 294293293292293293294295297297296295296295296295295294295294294294294294293294293294295293293294295294291291292290292292291290290289289290293293292293293292293292292292293293293293292292292292292292292292292292293292292292292292292292292292292292292293293294294293293293293293293293293293293293293292292293292294291292292292292291291291291292292292292292292292292292293294293293294294293294295295295294294295294294294293294294294295294294294295295296296295295296295296296296296294295294295294293293293294293294296294999999999291295296294294294293294292292292291291291291290289290290290290291291290292291291291288289290290289289289290290291291290290288289288289289289289294290291291290290291291291291999999999999292293292291291291291999293294296999999999999999999999999999999999999999288288287288288287287287287286286285285284283282284282283283283282282283283283283282282282282282282282282282282282282282282281282282282283284284284285285285285285285285285286286286286286286286286286287287287287286287288287288288288288288287288288288289288289289289290290290290290291291291292291292292292292292292293293294293293293293292292292291291292293291291291291290290291290290290291292291291291291291291292291292293294293293293293293293293293292292292292291292292291291292293293293293293294294293294294293293293292292292292292291291290293292292290290290291291291292293292292291291291291291292289292291292292293293293293292292291292292292292293291292293293293292292292292292291291292293292292293292293293292293292292293294294294295295294294294294294294295294293293293292293293294295294295294294295294294294294294295295296296296295296295295294295295294294295295295295295295295296296296295295295296295295295296296296296296296296295296296297298297297298297298298298299299300300299299299299300300299299298299299300300301301302301301301301301301301301300300300301301301302302302302303304304304303303303303302303302303303303303303303303303303303302303304303303303302303302301301300300300300300300300300300300300299299299299299299299299299299299299300300299299300299299300301300300300299300299299299300299299299299300300299300300300300300300300299300299298299300299298298297298298299298298298297297297296296296296296296296296296296297297297297297297297297297297297297297297296296296295295296296296294294294295295295295296295296296295295295296295295294294296296296296296296296295295295295295295295297297298298297298299298 999294293294294293296295297296296296296295296296295294294294293293293293294293293294294293293293293293291291292290291291291291290289289290291292292292293293292292293292293293292292292292292292292293292292292292293292293292292292292291292292292292292294294293293293293293293293293293293293293293293293292293293292292292292292291291291291291292292292292292292292292292293293293293294293295294294294294294294294294294293294293294294294294294295294294294295295295296296296295294295294294294294293292293293292293294294293999293294292293296296297295294295292293292292292290291290290290291290290291290292291291291292293291289289289289290290291291290289289289289288288288289288290290291292293292292999999999999999999999999292292291292292999999999999999999999999999999999999999999999999999999999999999289288288287287287287286285285284285284284283283283283282283284281281282282282282282282282282282281281283282282283282282282282282283284284284284284285285284285285285286286286286286286286286286287286286286287287288288288288288288288289289289288289288289289290290291291292292292291291291292292292292292292293293293294294294292292291291291292291292291291290291290290290290290290290290290290291291292292291292292293293294294293293294294293294293293292292292291291291291293292292292292293293293294294294293294293293293293293292292291291291292291291290290292292291291291290291292292291291290291290292292291292292293293293293292292291291292292293292293293293292292292292291291290292292292292293293292293292293292292292293294294294294293295294293294295294294293294293293293293294294295295295294294294294294294294295295296296296296296296295295294294295294294295295295295295295295296296295295295295295295295296296296296296297296296296297297297297298295297298299298298299299299299298299299299299300299300300299299299300301301303301301301301301301302301300300300300302302302302302303303304304304304303303303302303303303304304304304304303303304304303303304303303302303303302301301301300300300300300299299299299299300299299298299299299299299299299300300300299299300300300300300300300300299300300299299300300300300300300300300300299300300300300300300300300299300300300298298298298298299298298298298298297297296295296296296296296296296296297297297297297297297297297297297297297296296296295295295295295295294295295296295295296296296296295295296295295295295295295296295295295296296296295297296295295296298297298297297299299300 999999291294294296297297296297296296296295295296296295295292294293294294293293294294293293293292292293292291291290290290292291291291289290291292291292292293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293293293293293293293293293293293293293293293293293292293292292292292292292292291291291291291292292292292292293292292292291292292293293293295294295294295294294294294294294294293294294293294294294294294294295295294294296292294294294295294294294293292292292292292294294293293294293293295294296296294293295292293293291290290291290291290290290290290291292291293292293292292290292292291290290290290290290290289289288290288288289289290290292293294294294999999999999999999999999292292292293293999999999999999999999999999999999999999999999999999999999999290288289289288288287287286286285286285284283283283282283282282282282281282282282281281282282282282281281283282281282282282282283284284284284284284284284284284285285286286286287287287286286286286287286286287287287287287287288288288288289289289289288288289290290291292292292292292292292292292292292291291291292293293293293293292291291291292292291292292292291290290290290290290290290291290290290291292291292292293293294294294294294294294294294294294293293292292292292292291291291293293293293293293293293294294294293293293291291291290291292291291291291291292292291291291290290292292292292291290291291291291292292293293292292291291291290291291292291293293292292291292292291291291290291292293292292292293292292293292292293294293294295295295295293293294293294294293294294294295295295294295295294294294294294294294295296295296296296296296295296295295294294293295295295295295295296295295295296295295296296296296296296296295296296296297297296298298297298297298298298298298298299299299299298299299299300300299299299300300301301301301300300300301301302301301300301301301302302302302303304304304304304304303303303304303303304304304304304303303303304304304303304304303303303302302301302301300300300299299299299299299299299299298298300299299299299299300300300299299299299299299300300300300300300300300300300300301301301300300300300300300300301300300300301301299300298298298297298299299299298298298299298297296296296296296296296297296297297297297297297297297297297297297297297297296296296295295295295295294294294294295295295296295296296295296296295296295296295294296295295295295295297296296295296296297298299297298298298299299 999999999295297298298298297298296296294295295295296295296295295295294292293293294294293293292293293293293290291290290291291291292292292291291292292293293292292293292293293293291292292292292292292292292292291292291292292292291292292292292292292293293293294294294293294293294293293293293293292292292293292292292292292293292292292292291292292293292292293293292292292292292292292293293294293293294294294294294295294295295294294294294294294294294295294294294294295294294295294296295295294294293293292292292291293294291292999291293294295296295295294292292293293292291291290291292291290291290290290290291291292292291291289291291291291291291290290289290289289289289288288289289290291293295296296297999999999999999999999999293293294295999999999999999999999999999999999999999999999999999999999999999289288290289289288288287288286285284284283282281283283283282282282282282283282282282282282282282281283282281282282281282281282282283284284284284284284284284284285285286286286287287287286286286286286286287287287287287287287287288288288288289289288288288289290291292292292291291291292291291292292291291291291293292293293293293293292292293292293292292292292291291292291292291291290290290291291290291291292291292293293293294294294295295295295294295295293293292292291292291291291291292294293295294294294294294294294294293293292290291291291292290291290290291291292291291291291290292292292292292292292291291292292292293293292291291291291291291291291291292292291291291292292291291290289291292292291292292292292293293292293294294294294294294294294294294294294294295294295295295295294295295295295294294294294294295295296296296296296296296296296296295295294294295295295295296296296296295295295295295296296296296297297297296296296296296296296296297298298297297298298299298297298298298298298298299299299299300299299301299300301300301300300300300301301301302301301301301301302301302303303304303303304303304303303304303303303304303303303305304303304304305305303303303304303303302302302302301301301300299300300299299299299299299298298298299299299299299299300300298298299299299299299300300300300300301300300301301301302301301300301300300300300301300301301300300300299299298298298298298299298298298297298297296297297297297296296296296296297297297297297297297297297297297297297297296296296296295295295296295294295294295295295295295295296295295295296296296296296295295295295296295295296295296296296297297300298298298298298299299299 999999999295296297297296295296295295295295294295294294295295294293294293293293293293292292293292292293292293293291291292292292292292292291292292292293294293293293293293293292292292292292292292292292292291292292292292292292292292292292293293293293293293294293294294293293293293293293293293292293292293292293292292292292292292291291292292292292293293293292292292291292292292292293293293294293293293295294294293294294295294294294295294295295294295293294293293294295294294294295294296293293294292292292291291294291291291291291294295296295295293294293293291291292293292292291292291291291291290291290290290289291291292292293291292291292293291290290290289289290289289289289290290292292293295295999999999999999999999999999291291999999999999999999999999999999999999999999999999999999999999999999999999290290289288288287287287286286284283283282282282281281281282282281282282283282282282282281282282281281281281281281281281281281282282283284284284285283284285285286286286286287287286287287286286286287287287287287287287287288288288288288288288288288289289290291292292291291291291292292291292291291291291291292292293293292293292293292292292292292292292292291292292292291291291290291291291291291292292291292293293293293294293295295295295296295295295294293293292292292292292292292292294294293294295294293294294293293293293292291291291291291290289290292292293292291291292291291291292292292292292293291292292292293292293292291291291291291292291292291291291291292292292292291291290291292291292291292292291293293293293293294294294294295294294293294295294295295295295295295295295295295295295294294294294295295295295296295296295296296296296296296295294295295296296296296296296296296296296296295296297296296297297297296296296296296295296297296296298298297297297297298299298298297298298298298299299300300298300301301300300301301301300300301301302302301302302302301302302303303303302303303303304303303303304303303302303304304304302302305304303304304302304303304303303303303304302302303302301301301300300300300299299299299298298299299299298299300300299300299299300300300299300299300300300300300301301301301301301301301301302302301301300301301300300301300299299298298298298298299299299299298297298297298297297297296297296296296296296296297297296296297297297297296297297296296296296296296296296296296296294295295294295295295295296296295296294297297296297296296297296296296296297297296296297297297298298298298298298298298298300 999999999294294296296295295294294294294295295294295294294294294292291291292292293293293293292293292293293293293293292292292292292292292292293293294293293293292292293293293291292292292293292292292292292293292292293293293293292292292292292292293293293294294294294294294294293294293294294293293292293292293292292292292292292292292291291292292292292292291292291292292292292292292292293293293293294293294294294294294294294293293294293293293292293293293293293294294294294294294294294295293294293293293292292292293292292290292294295295294294294293294293292291292292292292292292290291291290290291290290290289292292291293291291293292291291291291291291291290289290289290290290291290293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290289288288288287287286285284284284283282283282282282282281282282283283283282282282282282281282281281281281281281281281281281282282283284284284284285285285286286286286287287287287286286286286287287287287287287287287287288288288288288288288288289289290291292291292291292292291291291291291291290291292292292292293292293292292292292291292292293292293293292292292292291290291291292292291292292292293293293294294294294294295295295295296295295295295293293293293292292293291292292291293293294293294294293293293293293294292293292292291292291291291292291292292292292292291292292292292293293295293293292292293292292292292292291290291291290291290290291291291291291292292292292292291292291292291292292292293293294293293293294294296295294294294294295295295295295295295295296295296295295295294294294295295295295295295295295296296296296296296296296295295295294296296297296297297296296296296295296297297297297297297297296296296296296297295295298298298298297297297298298298297297298299299298299298299298299299300300301301301301301300301301301301302302302302302302302302302302302301302302302303303303303304303303302302304304304302302304305304304305303303304302303303304302304304303303302302301301301301301300300299300299299299299299299299299300300300300300299300300301300300300300300300300301300301301301302301301301302302302301301301301301300301300300299299299298298298298299299299298298298297297297296296295296297296296296296296296296296297297297297297297297296297297297296296296296296296296296296295295296295295296295296296296295296297297297297296296296296297297296298298297297297298297298297297298298299298298299300300 999999999295294294294294295294294294294294295295294293293294294293292292292293292293292293294294294294292293293293293293293292292292293293294294293292292292292292292292292292291292291293292292292292293293293292292292292293293293292292292293293293294294294294294294294294294294293293293293292292293292293293293292292292292292291292292292292292292291291292292292292292292292292292292293294293293293293294294294295295294293294293293292293293293293293293292293294294293294294294293293294293293293292293293293293293999291294295295295293293293293293293293293292291291293291291291292291290289290290290290290292291291290291291292292292291291291292291291292290290290291291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289289289288288287286286285285284284283283283283282282282282283283283283283282282282282282282281281282281281281281281281281281281282282283283283284285285285286286286286287287287287287286286286286287287287287287287287288288288288288288288288289289290291291291291291290292291291291291291290291291291292293292292292292292292292292292292292293292293293293293292292292292291292292292292292293293293293294294294294294294294295295295296296297295295295294293293293291292291291292291291292293293293294292293293294292293293294293292292293293292291291291292292292292293292292292292293293293294295293293293292293293292292292291291291290291290290291291291291291291291291292292293292291291291292292292292292293294294294294295294295296295295296295295295295296295295295296296296296296295295295294294294295295295295295295295295295296296296296296296296296295295295296297297297297297296296296296296296297296296297297296297296296296296296297295297298298298298297297297298298298297298297299299300299299299299299300300299300301300300300301301301301301301301302301301302301302301302302301302303303303303302303304303303303302304303305303304305304304305305303303303302303303304303303303303303303303302301301301301301300300299299299299299299299300300300300300300299300300300300300300300300300300301301302301301302302302302302302302302302302301300302302300300300299299299298298298299299300298300298298298298297297296296297297296296296296296296296296296296297297297297297297297296296296296296296297297297296295296296296295296295295296296296297297297297297296296297296295297297297297298297298298298297299299298299299299299299299300299 999999999294296294294295293294294294294294294293293294294293293292292292292292292291292292293294294294292292292293293293294293293293293293293293292292292292292293291291292292292292291291292291292293293293293293293292293293293292292292293293293293293294294295294294294293293293293293294292292292292293293293293292292292292291291291291291292292291291292291291291292292292292292292293292293293293293293293293294294294293293293293293293293292293292292292293293294293293294294294294293293292292292293294294293293292291292292295296294294294294295294293293293292290291293292291291290290291291289289289289292290290291293292291291291292292293293291291290291290290291292292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290289288288288287287286286285285284284283283283282282282282283283283283283283283282282282282282281282282282281282281281281282282282282282283283284285285285285286286286286287287288287286287286286286286287287287287287287288288288288288289288289289290291290290291291291292291291291291291291290290291291292292292292292292292292292292292293293293294293293292292293292292291292292292292293292293294294295294295295295295295296295295295295296295296295294293292293292292292293291291291292292292293292292291291291293293294293294294294293292293294292292293292293293293294293292293293293293293294294294293292293292292292292291291291290291291291291291292291291291291291291291292292291291292292292292293294293294294294295295295295295295296296296296295295296295296296296296297296295296294295294294294295295295295296295295295296296296296296297296296296296296297296297297297297297296296296296296296297297297297297297297297297297296296297297296298298299298298298297297297298297298298299299300300299299300300300300301301301299299299300301300301300302301301301301301302302302302302301303303304303303303303304304302303302304303303303304304305305304304303304303303303304304302303303303303303302301301300301301301300300300299300300300300300300300300300300300300300300300300301300300301301301302301301301301302302302302302302302301301302302301301301301301301300299299299299299300300299299299299299299298298298297297297297297296295296296297297296296297297297297297297297297297297296296296296296297297296296295296295296296296296296295296297297296297296296296297297296297297298298298298298298299298299299299298299298299300299299299 999999999999295294294295296295293294294294293293293293293294293292292292292293293292292292293292292292293293293293292293293293292292292292292292292292293292292292292292291292291291291291291292292293292293293293293292293293293293292293293293294293293294294294293293293293293293293293293292292292292292293292292292292292292292291291291291291292291291292291291292292292292292292291292292292293293293293293293293293293293293292293292292293292292292292292293293293293292293294294294293292292292293293293292293293291291294295295294295294295295294294293293294292291291293292291290290290290289289289289290290290291292291291291291291291292291292291290290290290290292293293999999999999999300301999999999999999999292293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289289288287287287286286285285285284284284283283282283283283284284284283283283282283282282281282282282282282282281282281282282282282283284284285285285285286286286286286287287287287287286286286286286286286287287287287288288289288289288288288289290290290291291291290291291291291291291290291291291291292292292292292292292292292292293293293293293292292292292293292291291292292292293293294294295295295295295295295295295295296296295295296295295295294294293293292294292292291291292292293292292291291291291292294294293293294294294293293293294292293293293293294294294293294294293293293293295294293293293293292292292292291291291291290291291290291291291291291290291291291292292291292293293293292293294294294294294295295295295295294295295295296296295296295295296296295295296295295295295294294295295295295296295295295295296296297296297297297297296297297297297297298298297296296296297297296297297296297297297297297298298297297296296296296296298298298297297298298297297298298298299299299299300300299299300301301301301300300299301300300300300300301301301302302302302302302302303303303304303303303303303303304304304304303304304303304303303304304304304304304304304303303304303303302303301302301300301301301301301299300300300300300300300300300300300300301300301301300301301301301301302302301301301302302302302302302303302302301302302302302301301301301301300300300299300300300300299299299299299299298298297297297297297297296296296296296296297297296296297297297297297297297296296296296297297296295295295295294295296296296296296295297296297297297297297296297297297298297298297298298298299298298298299298298298298299299299299 999999999999293293293294294294293294294295294293293293293293294293294293293293293293293292292292293294293293293293292292293292293292292292292292291292291291293294293293292292291292291291291292292292293293293293293293293293292292293292293293294294294293293293293293293294294293293293293293292293292292292292292292292291293292291291291291291291291291292291292292292292291292291292291292292292292293292293293294293293293292292292292292292292292292292292292292292292292294295295292294294293293293292292292292293294294294294294294294294294294294294293293293292292291291291291288288288288288289290289289292291290291290290290293291290291291290290290289290290290292293292999999999999297296296999999293295999999291292291291293294999999999999999999999999999999999999999999999999999999999999999999999999999288289289288288288287286285285285284284284283283283283283283284284284284283283283282282282282282282282282282282282282282282282282282282283283284284285285286286286286286287287287287287287286286286286286286287287287287287287289289289288288288288287289289290290290290290290291291291291291291291291292291292292292292292293292292293293293293293293293293293292292293292292292292292294293294294295295295295295295295296296296296295294295294295295296295295294293293293293292292292292292293292292293293292292292293294294294294294293294295294294293292293293293293294294293293295294294294293293293294293293292293292292292291291291291291291291291290291291290290291291291291292292291292292292293293294294294293294294294294295295295295295296297296296296296296296296296296296295294295295294293294295295295295296296296296296296296296297297298297297297297296297297298298298298297296296296296297297297297296296296296297297299298298297298297297296296298298298297298298298298298298298299299299299299300299300299300300300300300301300301301300300300300300300301301302301302303302302302304303303304304304304304301302304304305303304304303303303304303303304303304304304303303303303303303302303302302301301301301301301301301300300300300300300300300300300300300300300301301301301301301301301301301301302301302302302302302302303302302302302302302301302301301301301301301300300300300300300300299300300300299299299297297298297296297297296296296296296297297297296296297297297297297297297296296296296295295295295295295295296296295295296296296295296297297297296297296296298297298297297297297298298298298299299299298299298299299299299299300 999999999999294294294294295294294294294294296294292293292292290293294294294293294294293292292294292294293292292293292292296294293293292292293292291292292293292292292292291292291291291291292293293293294294293293293293293293293293293292293293294294294293293293293293293293294294293293293293292292292292292293292292291292292291291291291291292291291291292292292292291292292292292291292292292292293293292293293293294293293292292292292292292292291291291291292292292293294294292292292292292292293293293292291293294294294293293293294295295294294293293293292293292292290290289288289288288290291291291291291291290290291290290290290292290290289290290290289290290290291293293999999999296296296294999999292999999999291291291290291293292999999999999999999999999999999999999999999999999999999999999999999999999999289288288287287287286285285285285284284283283283282283283283283284283283283283282282282282282282282283282282282283282282282282282283283283284284285285286286286286287287287287287287287286286286286286286286286287287287287288288288288288288290287290290290290290290290291291290291291291292291291292292292292293293293293293293293293294294293294293293293293293293292292293292294295294295294295295295296296296296297296297296296295295295295295295295294294294293293292292292292292292292292292292292292293293294294294294294293293293294294293293293294293294293294295293295295294294293294294293293293292293293292292292291291290292291291291291291291290291290290291291291292291292292293293293293292293293293293294295295295295296295295296297295295296296296296296296296295295295295294294293294295295296296295295296296296296297297297297298297297298298298298298298298298298297297297296297297296297296296296296296297297297298298298297298297296296296297297297298298297298297298299299299299299299299299299299299300300300300300300300301299299299300300300300300301302302302302302302303303303304305304302303303303304305304304304303302302304302302303303304304304304303304304303303302302302302302302302302302302301301301301301300300300300300300300300300301300301301301301301301301301300300302302302302301302302303302302302302302303302302302302302302302302301301301301301301301301300300300300300300300299299299299298298297296297297296297297297297297296296296297297297297297297296296296295295295295295295294295295295296295296296296296296297298297297297297298297298297297298297298298298298298298299299298298298299299299299299300300 999999999999999297296296297295298297295294294294294293293293292295294294294294293293292292293292292293294293291292292292293292293292293293293293293293292292292292292292292292292292293292293293293294294293294294293293293293293293293292293293293293294294293293293292292293293293293294293293292293292292292292292292292291292291292291292291291291292291291292292292292292292292291291292292292292292293293293293293293293293292292292292292292291292292291292291292292292293293292292292291292292293293293293293293294295294295294292294295296294294294294294293293293292290289289289289289289289290290291290290290290291290291291290290290290290290290289289289289290289291293293999999299296294294292291291290289289999289290290289291291291999999999999999999999999999999999999999999999999999999999999999999999999999289288288287287287286286286285284284284283283283283283283283283283283283283283283282283282283283283283283283283283283283283283283283283284284284285285285286286286286286287287287287287286287287287286286286286286287287287288288288287288286999288289289290290290290291290291290290291291291291291291292293293293293293293293293293294294294294294294293293293294293293293293293296295295295295296295295296296295295296295295295296295295295295295295295294295294293293292292293292292292292292293292292292293294293293294294294294293292293293295293293294293293293294294296296295294294294294295294294293294293293292292292291290290291291291291291291291291291290290291290291291291292293293293292293293293293293293294295295296295296296297296296297297296296296296296295293295294294294294294294295294295296296296296296296297297297298298298298298298298298298299298298298298298297296296296297297297297297296296297297296297297297297298298297297297297297298297296299299297298299299299299299299299299299299299299299299300301300301300301301299299300300300300300301300301302302302302301302301302304304303302303303303303305306306304303304304304303303303302303303303303303303303303303303303303302303302303303302302302301301301301300301300300300300300300300300300301301301301301301301301301304304303302302302302302303302302302303302303303303303303303302302302302301301301301301301301301301301300300300300300299298299298298297297296297296297297298297298296297296297297297297297297296297296297296296295295295295295295295295295296296296296296297298298297297297297297298298298298298298299299298298299299299299299299299299299299299300300 999999999999999297297297297296294296294294294294294293293293292293294293294294295294293293293293293294292292293293294293293293292293293293293294292293293291292291292292293292292292293293293293294294293293294294294294293294294293293293292293293294293293292292293292292293293292292292293293293293292292292293292292292292293292292292292291292291292292292292292292291291292291291292292292292292292292293293294293293293293292292291291292292292292291291292292292293293293293292291292292292292293293293294293294294294294294292293295295295296294294294293293292291290289290290289289289289290290291291290290289290290290291290291290290291289289289289288289289289289291292999999999999294293290290999288288289288287287288288289290289289289999999999999999999999999999999999999999999999999999999999999999999999999288288287287287287286286286285285285284284283283284284283283283283283283283283283283283283283283283283283284283283284284284283283283283283283284284285286286286287286286287287287287288287287286286287286286286287287287288288288288288287286286288288289289290290290291290290290290291291291291292292293293294294293293293293294294294294294294294294294295295295294294294293294294295296294295295296295296295296295295295295297295295295295295295295295295295294293292292292292292292292292292293292291292293294294293293293293293292292292293294293293294295295294294297296297296296295296296296294295294295293292292292293291291290291291291291291291291290290291291291291291291291292292293292292293292293294294293294294295295294296297297297297297297296296297296296294293294293295295295295295295295295295296296296296296297297297298298298299298299299298298298298298298298297297297296297297297296296297297296297297297297297297297298297296298297297299298296297296298298298298299300300300299299299299299299299299300300300301300301300300299299300301301300300301300301301302302302302302302302303303304303303303303303303304304303303303305304303303303303303303303303303303303304303303303303303303303303303303302302302302302301301301301301300301301301301301301301301301302302302302301301302303303302302302303303303302303302303303303303303304303303303302302302302302302301301301300301301300300300300300300299298299298298297297297297297298298298298298298298297297297297297296297297297297296296296296296295296295295295296296296297297297297298298298298298298298298298298298299299299299299299299299299299299299299299299299299300300301 999999999999999298298296296296295295295293294293293292293292292293294294294295295295294294293293293293294294294294294293293293293293294294293293293293293293293293293293293293293293293293293293293293293293294294294293293293293293292292293294293293292293292293292292292293293292292292292292292293293293292292293292292292292292292292292292292292292292293292292292292292292292291293292292292292293292293293293293293292293292292293292293292291291292291291293292292293293292292292292291293293293294294294294295294295295999999295296296295296295294294293293292292292291292290291291291291291290290290290290290290291290291291291291290290289289289288288289289290290291291999999999295293290289288286286287287287286287287288288289289289288999999999999999999999999999999999999999999999289999999999999999999999999288288288287287288287286286285285285284284284284284284283283283283283284283283283283283283283283283284284284284284284284284283283283284284284284284285286286286286286286287287287287287287287287287287286287287287287288288288288288288286286288288289289290290290290291290290290291291291291291292292293293294294294293294294294294294294294295294294295295295295294294294293295295294296295295295295296296296296296295295296296296296296295296296296295294295294294294293292292291292292292293293292292291292293294294294294293293292292293293294291295295296295295295297296296295295296299299299297296295295294294293293292291291291290290290290290291291290291291291292292291292293293293293293293293293293294292292294295295295296296297297297297297296296296296297296296295294294295295295295295295295295296295296296297297297297298298298298298298299298299299298298298298298298298297298298297297297297297297297297296297297297298298298297297297297297297298298297298298298298298299299300299299299299300300300299300300300300300300301301301299300301301301301302301301301301301302302301302303303302303303304303303303302303304304303303303303304304304303303303303303303303303304304304304304304304304304304304304303302302302302302301301302301302302302302302302301301301302303302303301302302302302303303303303303302303303303303303303303304304304303303303302302302302302302302302302301300300300301301301301300299299299298297297297297297298297297297296298297298298297297297296297297297297297296296296297296296296295295295296296297297297297297298298298298298299299298299299299299300299299299300300300299299300300300300300300300300301301 999999999999297297294299298296295294293293293293293296293294294294295295295295295294294294294294294293294295294294294294294292293294294294294294294293293293293292293293293293293293293293294294294293293293294294294294294293293292292293293294294294293293293294293293292293293293293292292293293293293293292293295293292292292293293292293293293293293294293293292292293292291291292291292292293293293293294293293293293292292292292292291292292291292293292293293293293292293293292292292292292293294294295295295295295295295999295296297296296295295294294296295295295294293292292291291291291291290290290290290291290291291291291292291291292290290289289289289289289290290999999999294293292290288287287287288287286287286287288289289289288999999999999999999999999999999999999999999999999287289999999999999999999285288288288288287288287287286285285285285285284284284284284284284284284284284283283283283283283283284284284284284284284284284284283283284283284284284284285286286286286286286287287287287288287288288288287287287288288288288288288288287286288289290289290290290290290291291291291292291291291292292293293293293294293293293294294295294294294295295295295295295294294294294294295295296293296296295296296295296296296296296296296296296296296296295296295297296296294294292292292291292292292294293292293294294294294294295294293293293293295294292294296296296295295296299296296295300300300299299298297296296295295295294292293292292291291291291291291291291291291292292292292292293294293293293293293293294294293294296296296296296296297297297298298296297297297297296296296295294294295295295294295296296297297296297297297298298298298298298298298298299299299299298298298298298298297298298298297297298298297297297296298298298298299299297298297298297297297298298298298298298299300300300299299300300299300300300299300300299300300301301301301300300300301301302301301302301302302302302303302303303303303304304304304303303303304302304304304304304303303303304304303303304304305304304304304304304304304304304304304303303302302302302301302301302302302302302302302302302302303302301302302302302302303303303303303303303303304303303304304303304303303303303302302302302302303301302302302301300299301302301300300299299299298298298298298298298298297297298298298298298298297298298298298297298298297297297297296296296296296296297297297297297297298298297298299299299299299300300300300299299299300300300300300300299300300300300300300300301301 999999999999999999999299300296296295294293293292293294293293295294294295295295297295294294293294294294293294294294293294293294294294294295294294294294293293293293293293293293293293292293293293293293293294294294294294293294293293293293293293294294293293293293293293293293293293293292293292293293293293293293293293293292293293293293294294294294293293293293293293293293291292292292293293293293293293294294293293293292291292292292292293291291293293292293293293293293293293292292292293293294294294295295295295296297295296297296297296295294295294294295295293293292293292292291292292291291291290290290290290291291291292292292291291291290290289289289289289289289289999999999292291290289288288287287287286286286286287288288289288999999999999999999999999999999999999999999999999288999289291999999999999286286289288288288287288287287287286285285285285285284284284284284284284284284284283283283283283284284284284284284285284284284284284284283284284283284284284285285286286286286287287287288288288288288288288288287288288288288288288288288287288289289290290290290290291291291291291291291292292292292292293293293294294293293293294294294295294295295295295295295295295294294294295295295296296296296296296296296296296296294296296296296296296296296295295294295295295294293292292291291292292292294294294294293295294294295295295295295294294296295296297296299298300297297297298300296299297296299298297297296296296295295294294292292291291291291291291291291292292292292292293293293294294294294293293294294294295293294296296296297297298298298298298297297298298298298297296296296296296296295296296296296297297297297297298298298298298298298298298298299298299299299299299298298298298298298297298298297298298297298298298298298299297299299297298298298299297299300299298298298298299300300300299300300300300300299298299300300299300300301301300302300300301301302302301302303301302302302302302303303303303304304304304305304303303303304305303304304304304304304304304304303305305304304304305304305305305304305305304304304304303303303303302302302302302303303303302302303302303303303303302302302302303303304304303303304304304304304304303304304304304303303303303303302302302303302302301303301300300301301301300301300301300299299298299298298298297298297298299298298298297298297297298298298298298297298297297296297297297297297297297297297297298298298298298299299300299300300300300300299300300300300301300300300300301300300300300300301301301 999999999999999999999999291292295297296292291293294295294293296294294296296297297295294295294294294294294293293294294294294294294294294294294293294294293293293293292293293293293293293293293293293293294294293293294293294294294294293293293294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293294294294294294294294294293293293293292292293293293292293293293293293294294293293293292292292292292292292293293293293293294294294294293292291292292293293294294294295294296296999298299298999300298298297295294293294293294294293293293292292292292291291292291291291290290291291291291291291291291290291291291289290290289289290289289289285999999287287289288287287287287286286286286286286288289290289999999999999999999999999999999999999999999999289288999289289999999999285286288289289289288288288287287286286285285285285285285285285284284284284284284284284283283283284284284284284285284284284284284285284284284283284283284284285285286286286287287287287288288288288288288288288288288288288288288288288288287287289289290290290291291291291291291291291291291292292293293292293293293294294293294294294294295294295294295295294295294294294295294294295295295297295297297295296296296295296296295296295296297296297295296296296296295294293293293292293292292292293293292293293293295295295294294294295296295294296297296296296297298298300298296296298301300297296296296298295295296296296295294294293293292292292291291292292292292292292293293293294293294294294294294293293294294295296296296297297296298298298298298299297297297298298298298298297297296297296295296295296296296296296297297298298298298299298298298298298299299299299299299299299299298298298298298297298298298298299298298298298298299299299297297298298298298298298299298298298298298298299299300300300301300300299299299299299300300300300301301301301301299300301301302302302302301302302302303302303303303303303304304305304305305304304304304303303304304305304304304304304304304305304304304305305304304305305305305304304305304303303303303303303303303302303303303303303303302302302302303303303302302303303303304304303303304304304304304304304304304303303303303303303303302302303302302302302302302301302301300300302302302301299300299299299299299299298298298298299299299298298298297298298298298298299298297297297297296297297297296297297297297298298298298298298299299300300300300300300300300300300300301301301301300301301301300301301301300301301 999999999999999999999999999999295295294999294293293294294295296296295296297297296294295295295294294293292293293294294295295294294294293294294293293294292293292293293293293293293293293293293292293293293293293294293294294293293293293292293293294293293293293293293292292292293293292292292292292293293292293293293293293293294294293294295294294294294294293293293292292292292292292293293293293293293294294294293292293293292292292292292293293293293293294295295294293293293292292292293293294295295294295297294999297298999999302300297296296294294293292293293292292292291292292292292292292292291291291291291291290291291291291291290290290290290290290290289287287288289287284283285284286288286286287286286286285286286287287288289288999999999999999999999999999999999999999999289289289288287288288999290286288290289289289288288288287287287286286286285285285285285285284284284284284284284284284284284285284285284284284284284284284284284284284284284284283284284285285285286286287287287287288288288288288289289289288288288288288288289288289288289289289290290290291291291291291292292292291292293293293293293293293293293294294294294295294295294294294294294294294294294294294294294295294295296296295296295295296296295297296296295296297297296297295296295295295295295293293293293294294293292294292291293294294296295294294296295296294294295295295298297297297295298300297297297297297301297297297299296297298296296296295294295294293293292292292292292293293292292293294294294294295295294294294294294294293295295295296296297298298296297297298299299299299297298298299298298298297297297297297296295296297296296296297297298299299299299299299299299299299299299299299299299298298298298298297298297298298298298299298298298298298298299299297298297298298299298299299298298298298999999299299300300299300300299299299298299299299299299300301301301301301300303301301301301302302302302303303303303304303302303303304305303303304305304304303303303303303304305305304304304304305304304304304304304304305305305305305305304303304304304304303303303303303303303303303303303303304304303303303302304304303303303303303304304304304304304305304304303304303303304304304303303303303303302302303303303303303303302303303301300301301301301300301300300300299299299299299299299299298298298298298297298297297298298297297297296296296296297297297297297297297297298297298298298299299299299300300300299300300300300300301301301301301301301301301301301300301301300301 999999999999999999999999999999999999999999999999294293294295297296296296296297298296295295295293293294293294294294295294295294294293293293293293293293293293293293293293293293293293293293292292292292292293293293293292293293293292293293293293293293293293293293293293292293292292292292292292292293292293293293293293293294294294294294294294294293293293293292292292292292292292292292292292293293292293293291292294293293293290292291291292292292294294295294294294294294293293292293293294294294295294296295999999303303999999303299298296295294293293293293293292292292291291291291291292291292292291290291291291291291291291291291291291291290290290288287286285286288287286284282282283283285286286287287287287285286286287288288289288999999999999999999999999999999999999999999289290289288287287288999285286288290289289288288288288287287286286286286286285285285285285285284284284284284284284284284284284285285285284284284284284284284284284283284283284284284284285285286286286287287287287287287288288288289289289289288288288288288289289289289289289290290290290291291292292292292293292292292292292293293292293292293294294294294294294295295294294294294293294294294294294294295295295295295295296296296294295296296296296296296297297296296296296295296295295295294293294294293292293294293295293294293294294295295295294293294295294296294294295293297298297298295297297298299298298302302301300300299300298298296296295295295294294294293293292292293293294293293293293294295295295295295294294294294294294294295295295295295296297298297296297298299299299298298298299299298298298298298297297296295295296297297297297297298299299300299299299299300299299299299299299300300299299299298297297297297298298298298298298295298298298298298299299297297298297298298300298299299299298298299299299300298299299299299299298298298298298299299299300300300300301302300301301302301301301301302303303304304303304303303303303304302303302303303304303303303303303304304303304303304303304304304304304304304304304304304304304304304303303303304303304303303303302303303303302303302302303302303303303303303302304303303302302303304303304303303304304303303303303303303303303303303303303302303302303303303303303303303302302302302302302302301300300300300300300300299299300299298299298299297298298297297297297297297297297297297296297296297297297297297297297297297297298298298299298299299299299300300299300300300300300301301301302302301301301301301301301301301301301 999999999999999999999999999999999999999999999999999293294295296295296295296297297297295295294293294294293294295295295295295294294294294294294294293292293293293293293293293293293293293293292292292292292292292292293293293293293293293293293294294293293293293293293293293292292292292292292292291292292292292292293293294294293293293294293294294294293293293293292292292293292292293293293293293293293293292292291293292291292290292292291292292293294295294295294294294294294294293293294295295295296296296294999999303999999999999296295295295294294293292292292291292292291291291291291291291291291291291291291291291291292292292291291291291290288288286287286285285285286999999999281282284285286286287287287287286286287287288288288288999999999999999999999999999999999999999999290289289289288288287999285286288289289289289288288288287287286286286286286286285286286285285285284284284284284284284284285285285285284284284284284284284284284284284283284284284284284285285285285286286287287287287287288288288289289289288288288288288289289289289289289290290290290290291291292292293293293292292292293292293292293293293294294294294294294294295295294293293293294294294294294294294295294295295295295296296296296295295295295295295295295296296296296296296295296296295295295294294293294294294295295295295295295294294295295294293294295294294294294297296296296297297295299297298298298301301300301301300297300299298298295295294295294295294294293293293293294294294294294294295295295295295294294294294295295295295295296294295295296297296297297298299299300299299299299299299298298298298299298297296296296296296297297297297298298299299297298298298299299299299299299299299299298299298298298298297297297297298298298298295297298299298299299298296297298298298300298299300298299298299299299299300298299299300299299298298298298299299299299300299299299299300300300300300300301302301303302302303302302302301301302302303303302303303303303303303303304303303304304304303303303303304304303303303303303303303303303303303303304303303303303303303303303303303303302302302302302302302302302302302302302302303302303303302303302304303303304303303303303303303303303302303303303303303303302302303303303303303303302302302302302302302301301300300300300300300299300300300299299298298297298298298298298298297297297297297297297297296296295297297297297297296297297298299300300300300300300300300300300300300300300301302302302302302301301301301301300301301301301301 298999999999999999999999999999999999999999999999999293295295296295296296297298299297296295294294293293293294294295294294294294294294294294294294294295294294293293293293293293292293293293293293293293292293293292293293293293293293293293293294294294294294293294293293293293293293293292292292292292292292292293293293294294293293293294293294294294294294293293293293293293293293293293294294292293292292292292292292291291292291291291292292293293294295295295295294294294295294294294295295295296297296295999999999999999999999999999999295294294294294293292291293292292292291291291291291291291291291291291292291292292292292292291291291289286285286286286287286284282283999999999282283285285286286286287287287287287287288288288289289289999999999999999999999999999999999999999999289289289289288287999285286288289289289289288288288287287286286286285285285285285285285285285285285284284284285284284284285285285284284284284284284284283283284284284283283284285284285285285285285286286286286287287288288288288288289288288288288289289289289290290289289289290291291291292292293293293293293293292292293293292293294294294294294294294294293294294294293293294293293294294294293294294294295295295295295295295295295295296295295295294294294295295295295295296295296296296295295295295295296295295296296296295296295297296295296296296295294294294294293296294295294297298297300300298299300298298298299298297296296296295294295295295295295294293293293293293294294294294294294295295295295295294294295295295295296294294293294295294296296297297297298297298299298298298299299298298298298298298298297296296296296296296297297298297297298297297298298298299299299299298299299298299299298298298297298297297297297297297296296295297297299299297297297297297297298298298298298298297298298298298298298298298298298298299299299298299299299299300299299298299299299299300300300300300300300301302301302303302302302302302302302302302302303303303303303303303303304304304304304303304303304304303303303303303303303302303303303304303303303303303303303303303303303303303302302302302302302302302302302302302302301303303304303302303302304303303304304304303303303303303303303303303303303303303303303303303303303303303303302302302302302301301301301301301301300300300300300300299299298299299299298298299299299298298297297297297297296297297297297297297297297297298298298299300300300301301300301301301301300300301301301301301302302302302302301301301301301301301301302 297999999999999999999999999999999999999999999999999999295296296295295296298298297296295294293293293292293293293294294294294294294294294294294295294294294294294293294293293293293293293293293293293293293293292293293293293293293293293294294294294294294294294293293293293293294293293293293292292292292293293293294294293293293294294294293294294294294294293293293294293293293294293294293293293293293292294293292292293292292292291291292291292293293296295295295295295295295295294295295296297298297297295999999999999999999999999999999999999293294293293292292292292293294293292292291291291291291291291292292292292292292292291290290288285285285285285285286285284283282999999282283284285285287286287286287288288288288288288288289289999999999999999999999999999999999999999999999999289289288288287999285287288289289289289288288287287287287286286286286286286285285285285286285285285285285284285284285285284284284284284284284284283283284283284284284284284284285285285285285286286286286286287287287288288288289289288288288288289290289290290290290290290291291292291292293293293293293293293293293293293293293294294294294294294294294293293294294294293293293293293293293293293294294294294295295295296295295295294295295295294294294294294295295295295295296296295296296296295296295294295295296296296296296296296296295296295295294294296296295295295295297297297297299300301297301299299299298298298296298296296293294295294294295294293294294294293293293294294295294295295295295295295295294295295296294296295293294295295295296296297297298298298298298298299299298298298298298298298298298297297297296295295297297297297298298298298297297298299299300300299299299300299299298297298297297298298297297297297297296296296297298298297297297297297297297298299298298298298298298298299298297299298298298298298299299299299299300299299300300299299299300300300300301301301301302302302302302303303302302302302303302302303303303302303303303304304304304304304304304304304304304304304304304303303303303303303303303304304303303303303303302303303303303303303303303303303303302303303302302302302302302302303303303304303304303303302303304304303303303303303303303303303303303304304303303303303303303303303303303302303302302302302302301301301300302301300300300300299299300299300299299298298298299299299298298297297297297297297297297297297297297297297298299299300299300300301300301301301301301301301301302302302302302302302302302301301301302301302302302302 297999999999999999999999999999999999999999999999999999999296296296297298297297296296295294293292292292292293293294293293293293294294294294294294294294294294293294293293293293293293293294294294294294294294293294294294294294294293293294294294294295294294294294294293294294294294293293293293293293293294293293294294293293294294293294294294294294294294294293294293293294293294293293293294294294294293293293292292292291292292292292293293294294295296296295295295296296297295295295296297298299298999999999999999999999999999999999999999999294295294296295295293294294294293292291291292291291291291292292292292292292292291290290287285284284284285285284284284282282282280280284285285286287287287287287287287287287288288288288289290290999999999999999999999999999999999999999999999288288288288287286285287288288288289289288288288287287287287286285286285286285286286286285285285285285285285285285285284284284285284284284283283283284283284284284284284285285285284285285286285286286286286287287288288288288289288288288288289289289289290289290290290291291292292292293292293293293293293293293293293293293293294294293294294294294294293293293294293294293293293293293293293294294294294294294295295295295295295295295295295294294294294294294295295296296296295295296295296295296295295295295296296296296296296297297296296296296295294295297295296295296297297297297297300301299302301299299299298296294295296294294294295294295294293295294295294294294294294294295295295295295296296296296294295295294295296295295294295295296296297297297297298298298298298299299299299299298298297298297297297297296295296296297297297297298298298298297297298299299300300300299300300299299298299298298298298298297297297297297296296296297295297299298297297298298298298298299298298298297298298299299299299298298298299298298299299299300300300299300300300300300301300300301302302302303303302302302302302303303303303302302302302303303303303303303303304304304304304305304304304305304304304304304304304304303304303303303304304304304303304304303303303303303303303303303303303303303304303303303303303303303303303302302303302302304303303303303303303303303304303303303303304304304304304304304304304304304304303303303303302302302301302302302302302301301300301301301301301300300299299299299299299299299299299298298298298297297296296297297296296296297297297297298298299299299299300301300301301301302302301301302302302302303302303302302301301301301302302302302303303 297298999999999999999999999999999999999999999999999999999999300297298297295297296296296294292291292292292292293293293293293293294294294294293293293294293293293293293293293293293294292293293293293294292294293294294294293293293293294294294294295294294294295294294294294294294294294293293293293292293293294294294294293293294294294293294294295294294294294293293293293293293293293293293294294293293294293293292292292292292292292293293294294295296296296296295297297296296295295295297298299299999999999999999999999999999999999999999999999296295296295294295294296296293292291291291292292291291291292292292292292292292291290288285286283284284285285284283282281281279280282283284285286287287288288288288287287288288287287288289290290290999999999999999999999999999999999999999999999288288288287286285287288289289289289288288287287287286286286286286286286286286286285286285285285285285285285285285284284284284284284284283283283283283284284284284284285285285285285285285285286286286286287287288288288289288289289288290289289290289290290290290291291292292293293293293293293293293294293293293293293294294294294294294294294294294293294294294294294294293293293293294294294294294294294294295295295296296296295295294294294294294294294294295296296295296295295296295295295295296296296296296296296296297297297297297296296296296296296295295295297297297298297297297295300300300300300301298297294294296296297296296295294294294294294294295294293294294294295295295295295296296296296297295296296294294296297296296296296296297297297298298298299299299299299298299299299299298297297298298297296296297297296296297296298298298298298298299299299300299300300300301300300299299298298298297297298297295297297296296296297297297296298298297297298297298298298298299298298298298297299298299298298299298298298298297298299300301300299300300300301301302301301302302301303303303303303302302303304304304303303303302303304303303303303303303304304304304304304305304304304304304304304304304304304304304304304303304304304304304304304304304304304303303304304304303303303304303303303303303303303304302302303302302302303303303304302303305304303304304304303303304304305304304304304303303303303303303303303303302301301301301301302302301301301301301302300300300299300300300299300299300299299298299298299298297298298298297297297297296296297296297297297298298299300299300300300300300300301301301301301302302302302302302302302301302302301301302302302302303302 297298298999999999999999999999999999999999999999999999999999999999999295295296296296295294293292292292292293293293293293294294293294294293294293294294293293293293293293293293293293293294293293293293293294294294293293293293294294294294294294294295295295295295295294294294295294294293293293293293293293294294294293294294294294294294294295294294294294294294294294294294293294294294293294294294293293293293293292292292291292292292293294294295295295294295298296296296296295295296297299299300999999999999999999999999999999999999999999295296297296297295296295293294291291291292291291291291291291291291291291290291290289287286287286283282282283283283281282281280279281283284285285286287287287288288288288287288288288288288289290290291290999999999999999999999999999999999999999999287287287286286287288289289290289288288288288287287287286286286286286286286286286286286285285285285285285285284284284284284284284284283283283283283283283283283284284284285284285285285284285285286286286287287289288289288289289290289290289290290289289290290291291291291292292293293293293293293293293293293293293293293293294294294293293295294294294294294294293294294293294294294294294293294294294294294295295295295295295295294294294293293294294294294295295296295294295295296295295295295295296295296296295295296297297297296296297297296296297296297296295295295297297296295296295299299295299300300296295294294296296297296295295293295294295295294294293293293293295295295295295296296295296295296296296296295295296296296296296296297296297298298298298299299299299299299299299298298298297298297297297296296297297296297296296297298298298298299299299299300300300300301300300300300299298299297297297298297296297298295296296296296299297297297298297298297298299298298298298298298297298300298298298298298297298297297299299299300300300300299300300301301302301301301301302302303302302302302302303303303303303303303302303303303303303303303303304303304304304304304304304304304304304304304304304304304304304304304304303303303303304304303303303303303304303303303303303303304303303303303303303303303303303303303303303303302302304302302304304303305304302303303304304304304304304304304304303303303304304304304303302302301301302302301301301301301301302300301300301301301301300300300300300299299299299299298298297298297297297297296297297297297297298298299299299299299300300300300300300300301301302302302302302302302302302302302302301301301302302302302302302 297297298999999999999999999999999999999999999999999999999999999999999999296296295296295294293292292292292293293293293293293293293294294294294294294293293293293293293294293293293294294293293293293293293293294293293294294293294295295295295294294295294295295295295295294295295295294293293293293293293293294294294294294294294294294295295295295295294294295295294294294295295295295295294294294294294293293293292292292292292292292292293294294294296295295296296296296296296296297297298298302999999999999999999999999999999999999999999999294295295299297298297296293292291291291291291291291291291291291291291291289289287286286285286285283281999283281281278279279280279282285285286286287287287287288288288289288288288289289289289290290290291290290999999999999999999289291999999999999285285285285286287288288289289289288288288287287287286286286286286286286286286285285286286285285285285285285284284284284284284283283283283283282282282282283283284284285284285285285284285285285286286287287288288288289288289289289289289289289289289289290290291291291292292292292292293293293293293293293293293293292293293294293294293294293294294294294294293294293293294294294293294294294294294294294294294295295295294295295294293293293293293293294295295295295295295295295295295295296296296296296295295295295296297296297297297297297297297297297296296296296296295295296296294293295295294295299298294294294295296297296295293294294294294294295295294293294295295295296296296296296296297296296296296296296294295296296296297296295297296297298297298298298298298299300300300298298298298299298297297297297297296296295297297297298298298298298298299299300300300300299299299300301301300300299298297296298297298298298296296296297297298297297296297297298297298298298298298298298298298298300299298298298298298298298298299299298299299300300300300300301302302301301301303302302302302302302302302303303303303303303303303303303303303303304303303303303304304304304304304304304304304304304304304304304304303304303304304304303304304304304304304304304303304304303304304303303304303304304304303303304303303303303303303303303302302302302302302303303304304304303304304304305305305304304304304303303303304304303303303303303302302302302302302301301302301302301301301301301301301301301301300300300299299299299299299299299298298297297298298298298298298299299299300300300299299300300300300301301301301301302302302303302303303302302302302301302302302302302302302302 297297298298999999999999999999999999999999999999999999999999999999999999297296295296295295293292292292292292292292293293293293293294294294294293293293294293293293294293294294293293293293292293293293293293293293293294294294294295295295295294294295295295295295295295295295295295294294293293293293293294293294294294294295294294295295295295295294294295295295295295295293295295295295294294294294294293293293293292292292292292293293293294294295296296296296297297297297297297297298298299299999999999999999999999999999999999999999999999999299301999297298295294293292292291291291292292291291291291291291289290286284282284285285285285281999999999999999278278280283283285287287287287288288288288288288288289289289289289289289289290290291291291291289289999999999999289291999999999999283284285285286288288289288289288288288287287286286286286286286286286286285286286286286286286285285285285285285284284284284283283283283283283283283283283283284283284284284284285285284285286286286286287288288288288289289289289289290290289289289289290290290291291292292292292292293293293293293293293293293293293293293293294294294294294294294294294294294294293293294294294294294294294294294294294294294294294294295295294294294293293293293293294294295295295295295294294295295295295296296296296295294294294294296296296296297297297297297297297297297296296295296296295296295295293295294295294295294293294295295294295294293293294294294294294296296294295294295295294296296296296295296296295296296296296295295295296296296296296296297296297297298298297298298298298299299299299298298298299299299298298297297296297297297298298298298297297298300299300299300300299298299299298299300300300298297297297297298297296296297297297297298297297297296297297298297298297297297297299298298298298299300299298298298298298298298298298298298299300300300301301302302302302302302302302302302302302302303303303303303303304304303303303303303303303303304304304304304304304304304304304304304304304304304304304304304303303304304304304304304304304305304304304304304304304304304304304304304304304304304304304304304304303303303302303303303302302302302303302303303304304305304304304305305305305304304304303303304304304304304303303302302303303302302302302302302301301301301301301301301301301301301300299300300299300299299299300299298298298298298298299299299299299300300300300300300300300300300300301300302301301301301302302302302302302302301301301301301301302302302302302 297297298298999999999999999999999999999999999999999999999999999999999999999297297297296295293292292291291292292293293293293293294294294293293293293293294293293293293293293293294294293293293293293293293293293293294294294294295295295295295294295295295295296296296296295295294295294293293293293293294293294294294294295294294295295295295295295295294295295295295296295295295295294295294294294294294294294294293293292292292292293293293294295295295296296297297297297298298298299299298299999999999999999999999999999999999999999999999999999999999999999298294294294294294292292292292292290290290289290288288285284283283283283284284284279277275279281281282283285286286287287288288287288288288288288288288288289289289289289290290290290290291291291291291290290289288284999999999999284284284285285286288289289289289288288288288287287286286286286286286286286286286286286286286286286286285285284284284284284284283283283283282282283283282283283283283284284284285285285285286286286286287288287288289288289289289290289289289289289289289289290290291291292292292292292293293293293293293293293293293294293294293293294294294294295294294294294294294293293294294294294294294294294294295295295295294294294295295295295295294295294294295295294295295295295295296296295296296296297296296295295294294294295296297296296297297297298298298297297298297296296295294295296296294295295294294294293293294296295294295294294293293294294294293294294294295295295295296294295296296296295296297295297296295295295296296296297297296297297297297297297298298297298299299298299299299299299299298299299299299299298298297297297298298298297297297297299299300300300300300300299300299300299301300300297298298298297299298296297298297297298298298297297297297296297298298297298297298299298299298299299299298298299299299299300298298299299299299300300300301301301302302302302302302302302302302302303303304303304303303304304304304303304303303303303304304304304304304304304305304305304304304304304304304304304304303304304304305304303303304304305304304304304304304304304304304303304304304303303303304304304304304303303303303303303303303304304304304302303303303303303304304304304305305304304304304303304304304304304304303303303303303304304303302302301301301301302301301300301299301301300300300300299299300299300300300300299299299299298298299299299299299300300300299300300300300300300300300300300301301301301301302302302302302302301301301301301301301301302302302302 296297298298999999999999999999999999999999999999999999999999999999999999999999298296296294291292291290291291292293292293293293294294294294293293293293294293292293293294293294294294294293293293293293292293293294294294294295295295295294295295295294294295296296296296295296296295294294293293293293294294293294294294294294295295295295295295295295295295295295295295295295295295294294295294295295295293294294294293293292292293293294294295295294295295297295296296297298299299299302302999999999999999999999999999999999999999999999999999999999999309308301999999296295294293292293292291290290290290288287287286285285285283283283283282279276275278282284285285286287287287287288288288288288288288288288288289289289289289290290290290289290290291291291291291291290290289999999999284285285284285285287288288288288288288288288288287286286286287287286287287287286287286286286286286286285285285284284284284284283283282282282282282282283283283283283283284284285285285285285286286286287287288288288289289289289290289289290290290289289290290290290291292292292292293293293293293293293294293293293293294294293293293293293293294294294295295295295294294294294294294294294294294294294294295295295295294295295295295295295294294295294295294294295295295295295295295295295295295295295296295295295295296296296297297296297297298298297298297297297297297297296296295296297296295295294293293293293294294294295294294293294295293293294294294294294296296296296295295296296295296296296297297296296294294295296296297297297296297297297297297297298298297298299298298299298299298299299298299298299299298298298298297297297298298297298297298299299299300300300300300299299298301300300300298297298297298298297296297297297297297298299297297297297297297297297297297297297298298298298298299299299298298299298299299299299299299300299300300301301301301302302302302303303303303303303303303303303303302303303304304304304304303303304303303304304304304304304304304304305305305304304304304304304304304304304304304304304304304303303304304304304304304304304304304304304304304304304304304303304304304304304303303303303303303304303303304304304304304303304304304304304304305305305305305304304304305303304304304304304303303303304304304304304303302302302302301301301300302301300300300301300300300300299300300300300300300300300299299300299299299300299299299299300300299300299300300300299300300300301301301301301302302302302301301302301301301301301301301301302302303 297297298298999999999999999999999999999999999999999999999999999999999999999999999297294295292290290291291291293293292292292293293293293293293292292293292292292292292293293294294294293293293293293292293293293294294295295295295295295295295295295295295295295296296296295295295294294294294293293293293294294295294294294294294295295295295295295295295295295295295296295295295294294294294295294294294294294294293293293293292293292294295295294295295296296295296297296297298299302303301999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293293293292291291291290290288287286286285284284283283282279276275278281284285286287287287287287288288288288288288289289289288289289289289289290289290290290290290290291291291291291290290290290290999285285286285285285286287288288288288288288288288288287287287287287287287287287287287287287286286286286285285285285284284284283283282282282282282282282282283283283283283283283284284284285285286286286287287288288288289289289289289289290290290290290289289290290290291291292292292293294293293293293293293293293293293294294293293294294294293293294294294294294294295294294294293293293293293294294294294294294294295294295295295295295294295294294295294294295295295295294295294295295295295295295295295295295295295296295296296296297297297297297297297297297297296297297296296296295296296296296294295293293293293293294294293293293293294294294294294293294294294295296296296295296295295296296295295295297296297295296297296296296297297296297297297297297297297297297297298298298299298299298300299299299299299299299298298297297298298298297297297297298299299300299300299299299299298298300298298299298297297298298298298297296297297296297297299297297297296298296297297298298297297297298299299299299298299298299299299299300300300299300300299301301302301302303302302302303303303303303303304302303303304303302303304304303304304304303303303303303304304304304304305305305305305305305304304304304304304304304304305304304304304304304305304303305305304304304304304304304304304304304304304304304303304304304304303303304303304303304304304304303304304304304304304303304304304305305305305304305304305305304304304304303304304304304304304304304303303303303302302301301301301301300300300300300300300300300300300300300300299300299300299299300300299299300300299299299299299300300299299299300300300300300300300300300301301302302302302302302301301301301301301301301301301301302 296297300300999999999999999999999999999999999999999999999999999999999999999999999999999295293290290290290291292293292292292292293293292293293292292291292292292293293293293294294293293293293293293293293293294294294294295295295295295295295295295296296296296296295296295295294294294294293293293293294294294293294294294294295295295294295295295295295295295295295295295295295295294295294294294294294294294294294293293292292292293294294294294295296297296296296296296298296299298302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292293292292292291291290288287286286286284284282281280277282277281283285286287287288287287288288288288288288289289289289289289289289290289290290290290290290290291291292292291291290290290290290288286285285285285286287288288288288287287288288288288287287287287287287287287287287287287286286286286285285285284284284284283283282282281281281282281282282283283283283283283283284284285285286286286286287288288288289289289289290290289290290290290290290290290290290290291291292292293293293293293293294293293293294294293294294294294294294294294294294294295295294294294294294294294294294294294294294295294295295295295295295295295295295294295294295295295295295294294294294294294294295295295295295295295295296295296295295296296297296296297297297297298297297297296296296295295295295295295295294294293293294294293294294293293292293294294293294294294294294294296296295295295295296295296297296296296296296295296297296296296295297297298298298298297296297297297298298298298298299298298300300299299299299299298298297297298298298298297297298298298298299300299298297299298299299298298299298298298298297297298298298298297298297298298297296298298297297296296297297297298298297297298298298298298298299298299299299300300299300299299300300301301301300301302301302303302302302303303303303302302303303303304302302303303303303303303303303303303303304304304304305305305304304304304304304304304304305304304304305305305305305304304304304304304305304304304304304304304305305304304304304304304303303303304304304303304304304304304304304304304304304304304304305304304304304304305305305305305304305305305304304304304303303303304304304304304304304303303303302302301301301301301300300300301300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299300299300300300301300299299300300301301302302301302301301301301301301301301302302301302302 296295999298999999999999999999999999999999999999999999999999999999999999999999999999999999292289289289290291291292292291292292293293292291292292291292291292292293293293294294294294294294294293293293293294294294294295295295295295295295295295296296296296296296295296295294294294294294294294293293294294294294293294295295294295295295295295295295295295295295296296296295295295295295295295294294294294294294294293293292292293293293294293294294296296296296295296298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290290291291291291288287286286285283282280278277280283282283284285286287287288288288288288288288289289289289290289289289289289289289290290290290290291291291291291291291291291290290290290288286284285286286287287288288287288287288288288288288288287287287287287287287287287287287286286286285285285284284284283283282282281281281281281281281281282282282283283283283283284284285285286286286287287287288288289289289290289290290290290290290290290290290290290290291291291292292293292293293294293293293294294293293294294294293293294293294294294294294294294294294294294294294294294294294294295294294295295294295295295295294294294295295295294295295294294294294294294294294294294295295294294295295294295295295296295296296296296297296297297298298297297297298296296295294295295295295294293293293293293294294294293293292293293294294293294293294293293295295296295295295296296296296297295296295296295296297296296296295296296297297297297297297297297298299298298299298299298298298299299299300299299299298297297297297298299298298298298298299298299298298300299298299298298299299299299299299299298299299299298297298298297298298297297298298296297297297296297297297297297298297297298298297298298298299300301300299300299299300300300300300299300300301301301302302302302303303303303302303302302303303302302303303303303304303304304304304303304304304304305305304304304305305305305305304304305305305305305305304304304304304304304304304305304304304304304305304305305304304305304304304304304304304304304304304304304304304304304304304304304304304304305305305304304305305305305305305305304305305304304304304304304304304303303303303304304303303303302302302302301301301301301302301301301301301301301301300300301300300300300300300300300300301300301301301300300300300300299299300300300301301301300299299300301301302302302302302302301301301302302302302302302302303303 295296999301999999999999999999999999999999999999999999999999999999999999999999999999999999999289288288289290291291291291291292292293292292292291292291292291292293293293294294294294295295294294293293293294294294294295295295295296296296296296296296296296296296296295295295295295294294294294293294294296294294295295295295295295296296295295295295296295295295296296295296296296296296295295295295295295295294294293293293293293294293294294295295296296297296296297298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288291291290290288287286285285283281280278277282284285285285286287288288288288288288288288288289289289289289289289289289289289290290290290290290290291290291291291291291291291290291290288287286287287287288288288288288288287288288288288288287288287287287288287287287287287286286286285285285284284283283282282281281281281281281281281281281281282282282283283283283284284285285286286287287287287287289289289289289290290290290290290290290290290290290290290291291291292292293293293293293293293293294294294293293293294294294294294294294294294294294294295294294294294294294294294294294295295295294295295295295295294294296295295295295295295294294294293294294294294294294294294295294294295295295295296295296296296297297297296297297297298297297297297297296296295295294295294295294294294294293293293294293293293292293293293294294294293294294295296295296296295295295296296295296296297296298296296296296296296296296296297297298297297297297298299299298298299299299298299298299299300300299298297298298297298297298299298298298298298299300300299298299300298299299299300300300299299299299300299299299299298297298298298297297297297296296296296297297297297297298297298297297298298298298299299299299301301300300300300300301299300301300300300300301302302302303303303303303303302302302302302303303302302304304304304304304305305304304303302303304305305305305305305305305305305305305305305305305305305305304304304304305305305305305304304304304304305305305305305305305304304304303304305304305304304304304304304304304304304304304304304304305305305305305305305305305305305306306305305304304303304305304304304304303303304303303303304304304303303302302302302302302302303303302302301301301301301301301301301301300300300300300300301301301301301301300301300301300300300301300300300300301300300300300301301301302302302301301301301301302302302302302303302303303 296296295299999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287288289290290290290291291292292292291290290291291291292292293293294294294294294294294294293293293293293293294294295295295295295295296296296296296296296296296295295295295294294294294294294296294295295295295295295295295295295296295295295296295297296295295295294295295295294295295295295296295296296295295294293293293293294295295296295296296296297297298298299299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286290290290289288286285285999284282280279278280285285286286287287288288289288288288289289289289289289290290290290289289289290290290290290291290291291291291291291291291290291290290290289288288287287287288288289288288288288288288288288288288288287287288287287287287287286286286285285285284283283283282282281281281281281281281281281281281282282282283283283283284284284285286286287287287288288288289289289290290290290291291291291290290291290290291290290291291291291292292292293293293293294294294293294293294293294294294294294294294294294294294294294295295294294295295295295295295295295295295295295295295295295295296295295295295295295294294294293294293293293294294294295295294294294295295295295295296296296296297296296297298297297297297297297296296295295295295294294294294294294294293293294294293293293293294294294294294293293293295295297296296295295295296296295295296296296297296295297297296296296296297297297297297297297297299299300298299299298298299299299299300300300299299298299299298298298297298299299298298297297299299298298298298298299299299299300300300299299299300300299299299298298297298298298297296296297297297297297297297297297297298298298297298298299298298299299299300301301300300300299300300300301301300300300301302302302302302302302302303302303303302303303303304304304304304304303304304305304304304304303303304305305305305305305305305305305305305305305305305305305305304304305304305305305305305305305304305304304304305304304304304304304304304304304305305304304305305304304304304304304304304303304304304305305304304305305305305305305305305305305304304304304304304304304303303303303303304304304304303303303303302302303302302302303303302302301302302301302301301301301301300300300300300300300300301301301301300301301300301300300300300300300300300299299300300300301301302302302301301301301301302302302302303303302302303 295295296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285287289289290290290291291292292292291291290291291291292292292293293294294294294294294294294294293293293293294294294295295295295295296296295296296296296295295295295295295294294294294294294295295295294294295295295295294294294295294294295294296295295295295295294295294295294295294295295295295296297295295294294293294294296296296296296296297297297298299298297299299299303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288289288288287285999287289286284285283283284286285286287287288288289289290289289289289289289289289290290290290290290290290290290290291291291290290291291291291291291291291290290290289289288287287287288288289288288288288288288288288288287287287287287287286286286286286285285284284284283282282281281281281281281281281281281281281282282282282282283283284284284284285286286287287287287288288288289289290290290290291291291291290291291291291290290291291291291291291291292292293293293293293293294294294294294294294294294294294294295295294294294294294295295295295295295295295295295295295295295295295295295295296296295295294295295295295295294294294294294294294294294294294295295295295296296296295295296296296296297297296296296296296296296296296296296295295295294295294294294294294294294294294293293293293293294294293293293293293295296295296295295296296296295295295295295295296297296295295296296297297297297299296297297297299299300300299298298299298299300300299300300299301300299299299298298298298298299299300299299299300300298298298298298299299299299299300300300300299299300300299299299299298298298297298298297297298297297297296296296298299298298297298298298298299298298299299300300299301300299300299300300300300299300301301301301301301302302302302302303303303304303304304304304304304304304303303304304304304304304304305305305305305305305305305305305305305305305305305305305305305305304304305305305305305304305304304304305304304304304304304304304304304305305304304305305305305305305305304304304304304304303304304304304305304304304305305305305305305305305305304304304304304304304304304304304303304304304304304304304304303303302302302303303302302302302302301301301301302301301301301301301300300300300300300299299300300301300300300300300300300300299300301300300299299300300301301301301301301301301301301301302302302302302302302302302 297295297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287288289290290290291291292292292291291290291291291292292293293293294294294294294294294294294293293293293294294294294295295295295296296296296296295295295295294295294294294294293294294294295294295294294294295295295295294294294294294295295294294295295296295294294295295294294294295294295295295296295295294294294295296297297297297297297297299299298299299297299300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287287288287287287284281286284285283283287287287288287286287288289288289289289290289289289289289289289289290290290290290290289290290290290290291291291291291291291291291291291291290290290289289288287287288288288288288287287287287288288287287287287286286286286286285285285285284284283283282282281281281281281281281281281281281281281282282282282283283283283283284284285285286286287287287287288288288289289289290290290291291291291290290290290290290290290291291291291291291292292292293292293293293294294294294294294294294294294294294295295295295294294295295295295295295295295295296295295295295295295295296296295295295295295295295295295295295295294294294294294294294294294294295295295295296296296296296296296296296297296296295295296296296296295296296295295295295295294294294294294294294294294294293293294294294293293293294293293293294294296296296294296296295296295295295295295296296295296296296296297297297296297297297299299299300300300299299299299299300299299299300300300301299299299298298298299298298299300300300300299299299298298299298299299299299299299299299300300299299299299299298298298298298299298298298298298297297296296296296297297297297297297297297298298298298299299299299300300299298299299300300300300299300300301301301301301301302302302302302302303304303304304304304304304304305303303304304304304305305304304305305305305305305305305305305305305305305305305305305305305305305305304304304305304304305304304304304304304304304304304304303303303304304305304304304305305303303305304304304304304304304303304303303303303304304304304305305305305305305305305304304304304304304304304304304304304304304304304304304304304304303303302302302302301302301302301301301301301301301302301301301300300300300300299299299299299300300300300300299299299299299300300300300299299299300300300300300300301301301300301301301301302302302302303301302302 296296296294297999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287288289290290290291291292292292292292291292292292293293293293293294294294293294294294294294294293293293294294294294295295295295296296296296296296296295295294294295296296295294295295295294294294294294295295295294294294294294294295295294295294294295295294294293295295294294295294296295295296296296295295295296296297298298298298298298299300300999999301301299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297295999999288287287287287287287286286286282282283281282282287287288288288287287288288289289290290290290290290290290290290290290290290290290290289289289290290290290291291291291292291292292291291291291291291290290289288288288288288288288288287287287287287288287287286286286285285285284284284283283283282282282281281281281281281281281281281281281281281282282282283283283283283284284284284285285285286286287287288288288289289289289290290290290291291290291291290290290290290290291290291291291291291292292292293293293293293294294294294294294294294294294295295295295294294294295295295295295295295295295296296296296295295295295295295295295295295294295295295294295294294294294294293293293294294294294294294295295295295295295296296296296295295295295295295295295295295294295295295295295295294294294294294294294294294294293293293293294294292293293295294293294294293293294295296295295295294295294295296296296296296296296296296295295297297297297297299299300300300300299299299299299299299300300300300299299299299299298298297299298299299298298298298299299298298298298298298299299299299299299299299299298298298299298299299299298298298298297297297295297296296296296296297297297297297297297297297298298298299299298299298298298298298299299299299299299299301300300301301303301301301301302302304304304303303303303304304304304304303303304304305305304305305305305304305305304304305305305305305305305304304304305305304304304305304304304304304304304305305304304304304304304304304304304303303303303303304304303303304303303303303304304304303304304303303302303303303304304303304304305305305305305304304305305304304304304304304304304304304304304304304304304304304303304304303303302302302302302302302301302301302303302302302302301301300300300300300300300299300300300300300300300299300300300300300300300300299300300300300300301302302301301301301301301302302302302302302302302301302 296295295295294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288288289290290290291292292293292292292293292293293293293293293293294294294294294294294293293293293293294294294294295295295296296296296296296296295295295295295296296295295295295295295295295294295295296295295294294294294294294295295295294295294295295295294293294294295295295295295296296297297297297296296297296299299300300300300302301298999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298295293292290289288287286287287290285286286284284286286283286286287288288288289288289290289290290290290290290290290290291290291290290290290291290289289289290290290291291291291292292292292292291291291291291291291289289289289288288288288288287287286287287287287287286285285285285284284284283282282282282281281281281281281281281281281281281281281281282282282282283283283284284284284284284284285285285286286287287288288288289289289290290290290290290291291291290290290290290290290290290290290291291291291292292293293293293293294294294294294294294295294294295295295295295295295295295295295295295295295295295295295296295295295295295295294295295295294294294294294294294294294293293293293293294293293293294294294294295295295296296296295295295295294294294294294295295294294295294295295294294294294294294293293294294294293293293293293293293293295295295294294293294291292295295292293294293294293295294295296296296296296295295296296295297296297297299299300300300300299299299300299298299300300299299299300299299298298297298298299298297297297297297298299299298298298298298298298299299299299299299299299299299299299299299299299299298297298298297297296295295296296296297297297297297298297296297297298298298299298298299299299299299299299299299299299299299299300302302301302303301301302304303304304302304303303303304304304305303304304304304305305305305305305305305305305305305305305305305305305305305305304304304305305305305305304305305304304304305304305305305305304304304304304304304304304304304304304304304304303303303303303303303303303303303303303303303303304304304304304305305305305305305305305305305305304304304304304304304304304305304304305305305304304304304304303302303303302303303302302302302303303303302301302301301301301301301301300300300301301300300300300300300300300300300300300300300300300300300300301301302302302301302302302302302302303302302303302302302302 294293293294291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288289290290289290291292292293293292292293293293293293293293294294294294294294294295294294293293294294294294294294295295295295295296296296296296296296295296296295295295295295295294295295295295295295295295295295294294295294294295295294294294294295294294293294293295295295296296296297297297297298298298297297297299301302302303303304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297293292290289287287286287286287288286285286285282286286285285286286287287287288288289289290290290291291291291291291291291291291291291290291290290290290290290290291291291292292292292292292292292291291291291291290290289289289289289288288288288287286287287287287287285283284284284283283283282282281281281281281280281281281281281281281281282282282282283283283283284284284284284284284285285285286286286286287287287288288288289289289290290290291291291291291291291291291291291291291291291291291291291292292292293293293293293294294294294294294294294294294295295295295295295295295296296295295294295295295295295295295295296295295295294295295295295294295295295294295295295294294294293293293293294293293293293294294295295295295295296296296295294294294294295295295295295294294294295295295294294294294294294294294294294294294294293293293295295294294296294293295295294295292293294294293293294294295295295295297295296296296296295297296296295299297298300299299298298300299301301300299299300300300300300299299300298298297297299298299297299297298297299300299299299299299299299299299299299299300299299299299299299299299299299299299298298298297297297296297297296297296297296297296297297298297297297298299298298298299299298298298299299300299299299299300300299301301302302302300302303303304304304304302303303303303303304305305305304304304305305305305305305305305305305305305305305306306306306305305305305304304304304304305305305305305305305304305305305305305305305305304304304304304304304304304304304304304304304304304303303303303303303303303303303303303304304304304304305305304306305305305305305305305305305305305305305305305305305305305305304305304305305305305305304304303303303303303302303302302302302303303303302302301302301301301301301301300300300300300300300300299300300300300300300300300300300301300300300300301302302301301301301301302302301302303302302303302302302302 294294292292293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289289289289289290291291292292292292292293293293293293293294294294294294294294294294294294294294294294294294295295295295294295295296295296296296296297296296295295295294295294294294294294295295294294294295295295294295295294294295294294293294294294295294294294294295295295296296296296297297298298298298298298297298302302301304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291288287285285286286285285288287285285284284287286286286286287287288288288288289289290290291291291291292291291291291291291291291291291291290290290290290291291291291292292292292292292292292292291291291290291289288289289289289289288287287287287287287287286285285284283283283283282282282281280280281281281281281281281281281281281281282282282283283283283284284284284284284285285285285285286286286286286287287288288288289289289290290290290290291291291291291291291291291291291291291291291292292292292292293293293294293294294294294294294294294295295295296296295295295295295296295295295295295295295295295295294294295295295294294294294294294295295295295294295295295295295294294293294293293293294294294294294294295295295296295295295295294294294295295295295295294294294294294295294294294294295295294294294294293294294294294294294295295294294295295295295295295295294294294293293292294294295296296296295296295296295296295297297296296296297298298299299299299300301301301299300300300300299299299299299298298298297299299299298298298298299298299299299299299299299300300300300300299299299299299299299299299299299299298299299298298298298297297297297297297297296296296296296296296296297297297298298299299298299299299298298298299299299299299300300300301302302302302301301301301303304304304304302302303303303304305305304304304305305305305305305305305305305305305305305305305305306306305305304304304304304304304304305305305305305305305305305305305305305305305304304304304304304304304304304304304304304304304304304304304303304303303303302303303303303304304304304304305305305306305305305305305305305305305305305305305305305305305305305305305304305304304305305304304303303303303303303302302302302302302303303303302302302302302302302301301301301300300301301300300300300299299299300300300300300300300300300300300300301302302301301301302302302301302302302302302302302302302302 294293293292293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289289289288288289290292291292292293292293293293293293293293294294294294294294294294294294294294294294294294295295295295295295294295295296296296296296295295295294294294294294294295295295295294294295294295295294295295295294295295294294294294294294295295295294294295295296296296296296297298298298298298298299299300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285285286286285284285287285285285286286287288288287288288287289289288289289290290290291291291291291291291292292292292292292291291291291291291291291291291291292292292292292292292292292291291291291291291290290289289289289288288288288287287287286284283283284283283283282282281281281280280280281281281281281281281281281281281281282282283283284284284284284284285285285285285285286286286286286286286287287287288288289289289289290290290290291291291291291291291291291291291291292292292292292292292292293293293293294294294294294294294294295295295295295296296295295295295295295295295295295295295295295295295295295295294294294294294294295295295294295295295296296295295294294294294294293293294293294294294294294295295295295295295295294294295295295295295294294294294293294294295295295294295295294294294293294294294294294294295295295294295295295295294296295294293294294294294293294294296296295294295295296295295296296297297296296297298298299299299299300301300300299299299299299300299299299298298298298298297298299300299299299299300300298298299299299299299300300299301300300300299299299299300299299299299299298298299298298298298297298297297297297297297296297296296296296296297297297298298298298298297297298297297298299299298299299300300301301302303301301301301303301304304304304304304302302303303304304304304305305305305306305305305305305305305305305305305305305305306306305305305304304304304304304304305305305305305306305305305305305305305305305305304304304304304304304304304305304304304304304304304304304304304303303303303303303303303303304304304304304305306306304305305305305305305305305305306305305306305305305305305305305304304304306306306304304303304303303302302302302302302301302302303302302302302302302302302301301301301300300300301301301300300300300300300300300300301301301300300300300300301301301301301301301301302301302302302302302302302302302303 293293293294294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289289290288288289290291291291292292292292293293293292293293294294294295294294294294294294294294294294294294295295295294295294294294294295296296296295295294295295294294294294295295296296295294295294294294294294295295295295295295295295295295295295295295295295296295296297297297297297298298299299300300300301300301303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293285285284285285284285285286286286286286286286286287288288289289289289289290291291291291291292292292292292292292292292292292291291291291291291291291291292292292292292292292292292292291291291291291291291290290289289289289288288288287287287285999281282283283283282282282281281280280281280281281281281281280280280281281281281282283283284284284284284284285285285285285285286285286285286286286286286287287288288288289289289290290290290290291291291291291292292291291292292292292292292292292292293293293293293293294294294294294294294295295295295295296296296295295295295295296296296295295295295295295295295295294294294294294294295295295295295295295295295295295295295294294294294294294294294294293294293294294295295295295295295294295295295295295295295295294294293294294295295295295295295294293293294293293294295295294295295294294295295295296296295295293293294294294293294294295294295295295296296296296296297298295297297298298298299299299299300300301300300300299299299299300299298298298298298298298298298299299299300300299299300299300299299300300300300301300300300300299299299299300300299298299299298298298299299299298299299298297297297297297296296297297296296296296296299297298298298298297297297297297297298299298298299299299301301301302302301301301301302303304304304304304303304303303303304305304304305305305305305305306305305305305305305305305305305305305306306305305305304305304304304304304305305305305305306306305305305305305305305306305305305304304304304304304304304304305304304304304304304304304304304304304303303303303303304304304304304304304304304304304304305305305305305306305305305305305305305305305305305304305305305306304304304304304304303303303302302302302302302302302302302301302302302302302301301301301300300300300301301301300300300300300301301301301301300300300300300300300300301301301301301301301301301302302302303303303302302303302 294294295295296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291290288288289289291291291291291292293292293293293293294294294294295295295294294294294294294294294294295295295295294294294295294294295295295296296295295295295295294294294295296296296295295295294294294294295295295295295295295296296296295295295295296296295296296296297297297297298298298299299299300302302301302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999999290291287284285285284284285286287287286287286286286286288288289289289289289290291291291291291291292292292292292293292292292292292292291291291291291291291292292292292292292292292292292292291291291291291291291290289289289289289288288288288287287285999280281282282282282281281281280280280280280280280280280280280280280280281281282283283284284284285284284285285285285286286285286286286286286286286286286287287288288288289289289290290290290290291291291291291292292292292292292292292292293293293293293293293293293293294294294294294295295295295295296296296296296295295295295295296296296296296296295295295295295295294295294294294294295295296295295295295295296295295296295295294294294293294294294293294294293294294294295295295295295295295295295294295295294295294293294294294295295295295295294294293293294294294293295295295294294294294295296295296294295293293292292293293293293294294294294294295295296296296295297297297297298297297299299299300299299300300299300300300299300300300298298298298298298298298298299299299300299299299299299299300299299299300300300301299300300300300299299299299300300299298299299298299299299299299299299298298297297297296296296296297296297297296297297298298298298298297297297297298298298298298299299299300300300301302301302301302301301304304304304304303303304304303303304305303304305305305305305305305305305305305305305305305305306305305306306305305305304304304304304304304304305305305305305306305305306306305305305306305305305305304304304304304304304304305305304305304304304304304304304304304304304304304304304304304304304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305304304304303303302302303302302302302302302302302302302302302302302301301301301300301301301301301301300300300300300300301301301301301300300300300300300300301301301301302301301301302302302303303303302302302303302 296295295296295296999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291289288288288289290290291291291292292293293293293294294294295295295295295294295294294293294294293295295295294294294294294294295294295295294296295295295295295295295295295296297296296295295295295294295295295295295295297296296296296296297296296296296297299298297299297297297298298298298298299300301303303303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291999999291290289289288287287288285285285285286287287287287287286286287288287288288289289289289290291291291291291292292292292293292293293292293293292292292292292292291292292292292292292293292292292292292292291291290291291290290290290289289289289288289289288287287286285999280282282281281281281281281281281281280280280280280279279280280280281282283283284284284285284285285285285286286286286286285286286286286286286286286286287287288288289289289289290290290291291291291291291292292291292292292292292293293293293293293293293293293294294294295294294295295295295296295296296296296295295295296296296296296296296296296295295295295295294294294295295295295295295295295296295296295295295295295295294294294294294294294294293293293293294294294295295295295295294295295294294295294294294294294294294295295295295295294293293293294294294294295295294294294294296295296295295294294293292292294293292294293294294294295296297296295296296296296296298298298297297298299300300300300301299300300300300300300300299299299299299298298298298299299299299300300299299299299299301299299299299299299299299300300300300300299300299299299298298299299298298298299299299299298298298297297297297297297297297296297297296297297297297297297297297297297297297298299298299299299299299299300299301301301302302301302304304304304303303303303304305304306307307304305304304305305305305305305305305305305305305305305306306306306305305304304305304304304304304305305305305306306306306306306305305305305305306305306305304304304304305305305305305304306305305305305305305305304304304304304304304303304304304304303304304304304304304304304305305305305305305305306306305305305305305305305306306306307305305305305305304304304304304303303303302302302302302302302301302301302302301302302302301301301300301301301301301301300300301301301301301301301301300300300300300301301302302302301301301301302302302302303302302302302302302 296294294295295296297999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292289287287288289289290290291291292292292293293294294294294295294295295295295295295294294294294293294295295295295294294294293293293295296294295295294294294295295294294295296295295294295295295295295295296295296296297297297296296298298299298297296297298297299297298298298298297298298298298299300301303303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999291291290289288288288288287288286286286287288288288288287288287287287287288288289289289289290290290291292291292292292292293293293293293293293293293293293292292292292292292292292292292292292292292291291291291290290290290291291290290289289289289289289289288288287286285279280281281280280281281281281281281281280279279279279279279280280281282283283284284285285285285285285285286286286286286285285286286286286286286286286286287287288288289289289290290290290291291291291291291291292292292292292292293293293293293293293293293293294294294294294295294295295295295295295296296296296296296296296295296296296296296296296295295295295294294294295295295295295294295295296296295295295295295294295295294294294294294294294294294293293294294294294295295295295294294294294293294294294294295294294294294295295295295294294294293294294295295295295295294295295295294295295295294294294293293292294293293293294294294295294295296296296296296296297297298298297298298298298299299300300299300300300300300300298298299299299299299299298298298299299299299300300299299299300300300300299299299301300299299299300300300300300299299299299299299299299298299299300300299299298298298298298297297297298297296296297297297297297297297297297297298298298298298297299299299299299299299300299300301301301302302302302303304304303302302303303304305305306307308306303304304305305305305305305305305305305305306306306306306306306305305305305304305305305305305305305305305306306306306306306305305305305305305305305305305305304304305305305305305305306306306305305305305305305305304304304304304304304304304304304304304304304304304304304305305305305305305306306305305305305305305305305305306306305306306305305305305305305304304304304303303303302301302302302302302301302301302302302302302301301301301301301301301301301300301301301301301301301300300300300300301301302301301301302301301301302302301302302302302301301302302 295295295295295295295296999999999999999999999999999999999999999999999999999999999999999999999999999999295293292289287287288289289290290290291291292292293293294294294294295295295295295295294294295294294294294293294294294294293293293293292294295999999294293294293294294294294294295294294294294295295295295295296296296296297297298298297298298299299297299299299299299299298299298297299299298298297299299299301302302305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999292293290291289288288288287287287286286286287287288288288288287288287287287287288288288289289289290290290291291291292292292292293293293293293293293293293293293293293292292292292292292292292292292292291291291291290290290290290290290290290289288288288289289289288288286285999280280280280280280281282282281281281280279279278278279278279280281282282283284284285285285285285285285286286286286286286286286286286286286286286286286286286287288288288289289290290290290290291291291291291291292292292292292293292293293293293293293293293294294294294294295295295295295295295295295295296295295296295295296295295296296296296296296295295295295294295295295295294295295295294296295295295295295295295295294294295295294294294294294294294294294294294294294295295295294294294294293293294294294294294294294294294294295295294295294294294294295295295295294295294294295295296295295295294294293293293293295293293293294293294294295295296296296296297297297297298298298298299298298299299300301299300300300300299299299299299299300300300299299299298298298299299300300300300300300300300299299299300299299299299300300300300301300299300300299300299299299299299300300299299299298298299298298297297297297297297297297297297297297297297297297298298299298299299299300298299299299300300300300300301301300301301302301302303303303302303303303304304305306307305305303303304305305305305305305305305305305305306306306306306306305305305305304306306306306304305305305305305305305306306306306305305305305305305305305305305304304304305305305305305305305305306305305305305305305305305304304304304304304304304304304304304304304304304304305305305305305305305306305304304305305305305305305305306306306305305305305305305305305304305304304304304303302301301302302302302301301301302302302301301301301301301301301301301301301301301301301301301301300300300300301301301301301301301301301301301301301301302302301301302301301301301 294295294295295294295999999999999999999999999999999999999999999999999999999999999999999999999999999999296293291289287288288288289289290290291291292292292293294294294294295295295294294295294294294294294294293293293294293293293293293293294294999999999999292293293294294294294295295295294295296296295295295296297298298299299299299298298299301301300299299300300297299299299298297296298298298297297299299300301301302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295293290287287287287287287287286287287287288289288288287287287287287287288288289288289289290290290291291291292292292292292292292293293293293293293293293293293293293293293293293293293292292292291291290290290290290290290290290290290290290289288288288288288288288286284281281280280281281282282282281281280280279278278278278278278280281282282283284284285285285285285285285285286285286286286286286286286286286286286286286286286286287287288288288289290290290290291291291291291291291292292292292292292292293293293293293293293293294294294294294294294294295295295295295295295296296296296295295295295295295295296296295295296295295295294295294294294294295294295295295296295295295295295295295294294294294294294294294294294294294294294294295295295294294294294293293293294293293294294294294294294294294294295294294294294294295295295295295295294294295295296296295294294294294293293293293293294294294294294293294295295295296297297297297297296297298298298298297298299299300300299299300299299299299300299299299299300299299298298299299299300299299300300300300300300299299299299299299299299299300299300300300300300299300299300299299298299299301300300299299299299298298298297297297297297297297297297297297297297297297298298298298298298298298299298298299300300300300300301301300300301301301303303303303303304303303303303304305306304304304305305304304305305304305305305305305305305306306306306306305305305305305304304306306304304305305305305305306306306306306306306305305305305305305305305305305305305305305305305305306306305306305306306305305305304304304304304304304304304304304304304304304304304304304304305305305305305306305305304305305305305305305305305305305306305305305305306305305305305305304304304304303303302302302302302302301302301301302302301301301301301301301301301301301300300301301301300301301301300300301301301301301301301301301301301301301301301301301301301301300301301301 296296295295293294295295999999999999999999999999999999999999999999999999999999999999999999999999999999296292290287287287288288288289290290291291291292293293294294294295294295294294295295294294294293294293292293293293292293293293293293293294296999999999292293293294294295294295295295294294295295295296297297300299301300299300299300300300301301300299299298298298298298298298297296297298296296296299299300300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292291288287286287287287287286287287287287288288288288287287287288287288288288289289289290289290291291291292292292292292292292292292293293293293293294294293294294294294294294294293293293292292291291290290290290290290290291291291292291290289288288288288288288287287285279278280281282282282282282281280280279278277277278278279279281281282282283284284285285285285285285286285286286286286286286286286286286286286286286286286286286286287287288289289289290290290291291291291291292292292292292292292292292292293293293293293293294294294294294295295295295295295295295295295295296296296295295296296296295295295295295295295295295295295294294294295295294294294294295296295295295294295295295295294294294294294294294294294294294294294294295295295294294294293294293293293294294294294294294294294294294294294294294294294294294295295295295295294294294295295295295294294294294294293293294293293294294294295294294295295295295297296297297297297296297298297298298298298298299299299300300299299299299299300299300299299299299299299299299300300300300300300300300299300300299299299300300299299299299300300300300300300300299299299299299299299297299299300299300299299299299298298297297298297297297297297297297297297297297297298298298298298298298299299299299300299300300299300301302300301301303301303303303303303303303303304304305305305303304304304305303304306306306305305305305305305305306306306306306305305305304304304305305304305305305305305305305305305306306305306305305305305305305305305305305305305305305305305305306306306306307306306306305305305305304304304304304304304304304304304304304304304304304305305304305305305306305305305305305305305305306305305306305305306305305305306305305305304304304305304304304303303303302302302302302302301301301301301301301301301301301301301301301301300301301301301300301300300300300301301300301300301301301301300300300300301300300300300300300300300300300 295294294294293292293293294999999999999999999999999999999999999999999999999999999999999999999999999295294292290288287287288288289289290291291290291292292293294294294295295294293294294294293293293292292292293293293293293293293293293293292292294293999293293292293294294295294294295295295296296296297299299300302301301300300301301301300300301300301299299298298297298298298297297297296296296296296298299300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290288286286287286287287287287287288288287288288287288287287287288288288289289289290290290290290291291292292292292292292292293293293293293293293294294294294293294294294294294294293293292292292291291291290290290290291292292292292290288288288287287287287287287286286284281282283283283282281281280279278277277277277278279279280281282282283284284285285285285285285286286286286286286286286286286286286286286286286286286286286286286287287288289289289290290290291291291292292292292292292292293292293293293293293293293293293293294294294294295295295295295295295295295295295295295295295296296295295295295295295295295295295295295295294295295295295295294295295295295295295295295296295295295294294294294294294294294294294294294294294295294295294295293293293294294293294294294294294294294294294294294294294294294294294294294295294295294294294294294295295294294294294293294294294294294294294294293294294295295295295296296296297297297296296296297297298297298298298298298299299299299299299299299300299299299300299299300299300299300300300301301300300299301300300300299300300300299300299299299300300299300300300299300299300299299299298299299299299300299300299298298297298298298298297297297297297297297297297297297297298299298298298299299297298299300299300300301300301301301301302302301302303304304303303303304304304305304305305304304304305305303305306306305305305306306306306306306305305305305305305304304304305305305304305304304305305305305305305306305305305305305305305305305305305305305305305305305305305306306306305306306306306305305305305304304304304304304304304304304304304304304304304304304304304304305305305305305305305305305305305306305305305306306306305305305305305305304304304304304304304304303303303303302302302302302301302301301301301301301301301301301301301301301301301301301300300301300300301301301301301301301301301300300300300300300299300300299299299300300300300300 294294294294294293295294294295999999999999999999999999999999999999999999999999999999999999999999999999295292290288287288288288288289290290290291291292293293294294294295295294293294294294293293293293293293293293294293293292293293294294292292292292292292292292293293293293294294294296297297299299299299302301299299300300300300301301300299299299299298298297297298297297297297296297296297297297298298298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292290287286286287286287287287287287288288287287287287288287287287288288289289289289290290290290291291291292292292292292292293293293293293293294294294294294294294294294294294294294294293293293292292292292292291291291292293293292999289288287287286287286286286286286285285284284283283282281280280279278277276277277278278279280281282282283283284284285285285285285285286286286286286286286286286286286286286286286286286286286286286286287287288288289290290290291291291292292292292292292292293293293293293293293293293293293293294294294294295295295294295295295295296295295295295295295295295295295295295295295295294295294295294294295295295296295295295295295295294295295295295295296296295295295295295294294294294292293294294294294294294294295295294294294293294294294294294294294294294294294294294294294294294294294294294294294294294294293294295294295294294293294293293294294295293294294294294293294295294295296295296296295297297296296296296297297297297297298298298298299298298298298298299299299299300299300299300300300300299300300300300300300300300300300301300300300300300300300299299299300299299299299299299299299299299299299298299299299299299299299299299298298299298298297297297297297297297298298298297297298298298299299299299298298300300301301300300301300301301301302301302301303304304304304303303303304305304304305303304304304305305305302305305304305305305305306306305305305305305305305305304306305305305305305306304304304304305305305306306306305305305305305305305305304304305305305305305305305305305306305305306306306306306305305305304304304304304304304304304304304304304304304304304304304304305305305305305305305305305304305306306306305306306306306306306306305305305305304304304304304304304303303303303303303303302302302301301301301302301301301301301301301301301301301301301301300300300300300301301301301301301301300300300299299300300300299299299299299299300299300300300 295295294294293292292292293294294999999999999999999999999999999999999999999999999999999999999999999999294292290288287288288288288289290290290290291292292293293294294294294294294293293294293293293293293294293294294293293294294294294293293292291292292291292293292293293294294295295297298298299299298297298300299299300300301300300300300299299298298297297297297297297298298297296297297296296298298298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290293292289288286286286286287287287287287288288287287287287288288288288288288289289290290289290290290291291292292292292292292293293293293293294294294294294294294294294294294294294294294294293293294293293293293292292292292292293293293292292999286286286286286286286286285285285284284283283282281281279278277277276277277278279279279280281282283283283284284284285285285285286286286286286286286286286286286286286286286286286286286286286286287287287288288289290290290291291292292292292292292293293293293293293293293294294294294294294294294294294295295295295295295295295295295295295295295295295295295295295295294294295294295294294295294295295296295296295295295295295295295295295295295295295295295295295295295294294294293294294294295295295294294295294294293294294294294294294294294294293293294294294294294294294294294294294294293293293293293293293294294293293294293294294294294294294294294294294294294294295295295295296295295295296296297296296296296297297297298298298298298299298298298298299299299299299300299299299299300300300300300300301301300301301300300300300301300299300299299300300299298299299299299299298298298298298298299299298298299299299299298300299298299299299298298297297297297298298297298297297298298297298298298298299298298298299298301301301301301300302301301302302302304304304304304301303304305305305304305303305306304304304303304305305305305304304305305305305305305305305305305305305306305305305305305305305305304305305305305305305306305305305305305305305305305304304305305305305305305305306305306305305305305305306306305305305305305304304304304304304304305304304304304304304304304304304305305305305305306306305304305305305306306306306306306306305305305305305304304304304305305305304303304304304303303303302302302301302301301301301301301301301301301301301301301301301301301301301301300301301301301301301301300300300299299299299299299299299299299299299299299299299300 295295294293293292292292293295294999999999999999999999999999999999999999999999999999999999999999999999296293291289288288288288289289290290291291291292292292293293294294293293293293293292292292293292292292293293293293293292293293293292292292292291291292292292292292293293294295295296296295297297298297297299299299300300301300299300299299299298298298297296298298298298298298297297296296297298297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295292291288287286286286286286287287287288288288287288288288288288288288289289289290290290290290290291291291291292292292292292293293293294294294294294294294294294294294293293294294294294293294293293293293293293293292292293293293293293292291999290285286286286286286285285284284284283283282281281279278277276276276277278279279280280281282282283283284284284285285285286286286286286286286286286286285285286286286286286286286285286286286286287287287288288289290291291291291292292292292292292293293293293293293294294294294294294294294294294294294294295295295295295295295295295295295295295295295295295295295294294294294295295294295295295296295295296296295295295294295296295295295295295295295295295295295295295294294294294294294295294295294295294294294294294294294294293294294294294294293293293294294294294294294293293293293293293293293292293293293293293293293293293293294294294294294294294294294294294294294295295296295295295295296295296296296296296296297297298298298298298298298298298298298299299299299299299299300299300300301300300301301301300301301300300300301300300300299299300299300300299299299298298299298299299298299298298299299298299299299298298299299299299299299298298298298298298298298298298299299299297298298298298299299299299299300300300300300300301301301301301302302302304304304302302302302305305305304304305303303303304304304304304305305305306304304305305305305305305305306305305306306306305305304305305305305305304305304305305305305305305305305305305305305305305305305305305305306306305305306306306306306306306306306305305305305305304304304304304304304304305304304304304304305305304304304304304305305305305305305305305305306305306306306306305305305305305305305305305304305305305305304304304304303303303303302302302302302301301301301301301301301301301301301301302301301301301301301301300301301301301301300300300299299299299299298298298299299298298299299299299299299299 296295295293293295292292293296294295999999999999999999999999999999999999999999999999999999999999999999295294291290288288288288289290290290290291291291292292292292293293293293293293293291292292293293292292292292293293292292292292293292292292292292292292292293293293293294293294294295296297296296298297298299299300300301300299300300299299299298298296295295297297297298299298297297297298297298298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292291288286286286286286287287287287288287288288288289289288288288290289289289290290290290291291291291291292292293293293293294294294294295294295295294294294294294294293293294294294293294293293293293293293293292292293293293293293292291290287287286286286286286285284284284283282282281280279278276275275276277278279280280280281281282282283283284284284284285285286286286286286286286286285286285285285286286286286286286285286286286286287287287288288289290290291291291292292292292293293293293293293294294294294295294294294295295295295295295295295295295295295295295295295295295295295295295295295295294294294295295294294295295296295295295295296296295295295295295295295295295295295295295295295295295295295295294294295295295294294294295295295294294294294294294294294294294294294293294294294294294294294294293293293293293293293293292292292292293292293293293293293293294294294294294294294294294294294294294295295295295296295295295295295295296296296296297297297297298297297298297298298298298298299299299299299299300300300300301300301301301301301301301300300300301301300300300299300299299298299299300299299299298299298298298299299299299299299299299299299299299299299299298298298298298298298298297297297298299298300298298298298299299299299299299299299300299300300301301301301301301302304304304302302302302305305304304304304305303304304303304304304305305305305303304304305305305305305305306305305307305305305305305305305306304305305305305305305305305305305305305305305305305305305305305305305306306305305306306306306306306306306306306306306306305305304304304304304304304305305305304304304305305305305304304305305305305305305305305305305306305306306306306306305306305305305305304305305305305305305305305304304304303303303303303302302302301301301301302301301301301301301301301302301301301301301301301301300300301301301300300300299299299299299299298298298298298298298299299299298299299299 296295294296296294296292296296296296298999999999999999999999999999999999999999999999999999999999999999295294293290288288288288288289289290291291292292292292292292293293293293293292292292291291291292292293292292293293293293292292292293292292292292292291292292292293293293293294294293294296296296296298298298300300300300299300299300299299299298297296296296296297297298298297297297299297297299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295290290288287286286286286286287288288288288288288288289289289289289289289290290290290290290291291292292292292292293293294294294294294295294295295295294294294294294293293293293293293293293293293293293293293293293292292293293293293293292291290290288287286286286285285284284283282281281280279277275275275276277277278279280280281281282283283283284284284285285285285286286286286286286286286286286285285285286286286286286286286286286286286287287287288289289289290291291291292292292292293293293293293294294294294295294295294295295295295295295295296295295295295295295295295295295295295295295295295295295294295295296295294294294295295295295295295295295295295295295296295295295295295295296296295295295295294294294294295295295294295294294294295295295294294294294294294294294294294294294294294294294294294293293293293293293293293292292292292293292292292292293293293293293294294295294294294294294294294294294294296294294295295295295296296296296296296296296296296296297296297297297297298298298298298299298299299299300299299300300300300300301301301301301301301300300300301301301300300300300300300300300300300299298298299298298299299299299299299299299299299299299299299299299298298298298298298299299297297298299299299300299298298299299299299299299299298299299300300300300301301301301301301304302302302302302303303305305304304304305304304304304304304304305304305303303303304304305304305305306306305305305306305305305305305306306304304305305305305305306305305305306305305305305305305305305305305305306306306306306306306306306306306306306306306306306306305305304305305305305305305305305305305304304305305305304304304305305305305307306305306305305305306306306306306306305305306306304305305305305305306305305305304304304304304303303303302301302302302302302302302302302301301302302301302301301301301301301301301300300300300301300300299299298298299299298298298298298298298298298298298298299299299 295294295294294295295296297295295297296999999999999999999999999999999999999999999999999999999999999999294293292289288287287287288289289290290291291292292292292292292291291292292291291291999291290291292293293292293293293293292290292293292292292291292291291292293291293294294294294293294295295296296297298298299300300301300300299298298299299297298298297296297298298298297297297297296297298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293291290288286285286286286286287287287287288288289289290290289289289290290290290290290290291291291292292292293293293294294294295294294294294295295295294294294294293293293292293293292292292292292293293293293293293293293293293293293293292291288289288287286286285285284284283282281280279278277275275275275276277278279279280281281282283283283284284284284285285285286286286286286286286286286286286286286285286286286286286286286286286286287287287288288288289289290290291291292292292292293293293293293294294294294294295295295295295295295295295296296296296295295295295295295295295295295295295295295295295295295295295294295295295295295295295295295295295295295295295295295294295295295295296296296295295295295294294295295295295294294294295294295294294294294294294294294293294294294294294294294294293294293293293293293293293293293292293292292293293293293293293293293294294294295295294294294294294294294294294295294295295295295295296296296296295296295295295296296296296296296297297297297298298298298299299299299299299299299299300301301301301301301302301301301301300301301301301301300299299300300300299299299299299299299299299299298299299299299299298299299299299299299299299298298298299299299299299298297298299299299299300298299299299299299299299299299299299300300300301301301301301301301301302302302302302302303302304305304304305304303304304304304304304304305303305305303304304304305305305305305305305304303305304305304304305304304305305305305305305305305305305305305305305305305305305305305305306306306306306306306306306306306306306306306306306306305305305305305305305306305305305305305305305304305305305305304305305305306306306305305305305305305305306306305306305305306306305305306306306305305305305304304304303303304303301302302303302302303302302302302301301301301302302301301301301301301301301301301300300300300300300299299298298298299299298298298298298298298298298298298298299299299 295296297294294295296295297294297298296999999999999999999999999999999999999999999999999999999999999999293292292289288288287287287288289290290291291291291292292291292291291291290289290290291291290292292292293293293293293293293294293292291292291291291291291292292293292292294293293293294295296296296297297298300300300299300300300298297299299298299299298297299298298298296297296297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291287286285285285285286286286287287288289288290290290290290290290290290290291291291291291292292292293293293294294295295294294294294294294295294294294294293293293292292292292292292292292292292292293292293293293293293293293293292292291289288287287286285284284284283282281280279277276275275275275276276277278279280281281281282283283284284284284284285285285286286286286286286286286286286286286286286286286286286286286286286286286287287287288288288289289290290291291292292292292292293293293293294294294294294294295295295295295295295295296296296295295295295295295295295295295295295295295295295295295294294295294295295295295295295295295295296295296295295295295295295295295295295295295296295295294294294295294294295295295295295295294294294294294294294294294294294294294294294295294294294293293293293292293293292292292292292293293293292293293293293293293293293294294295294295295294295294294294294294295294295295295295295295296295294295295294295295295296295295296296296297297297297298298298299299299299299299299299300300300301301301302302301301301301301301301301301301300300299300300300300299298299299298298299299299298298299299299299298298299299299299299299298299299299299299298299299299298298299300300299299299299299299299299300299299298299299299299299300300301300300300301303301302302302302302302302304302304304304305303303303304304304304304304305305304305305305304304304305305305305305304304303305305305305305305304304305305305305305305305305305305305305305305305305305305305305306306306306306306306306306306306306306306306306306306306306306305305305305306305306306305305305305305305305305304304305305306305306306306305305304304305305305305305306306305305304304304305305306305305305305304304304304303303303303303301302303302302302302302302302301301301301302302301302302301301301301301301301300300300300300300299299298298298298298298298298298298298298298298298299298299299299 294294295296295294295296294294294294296999999999999999999999999999999999999999999999999999999999999999293292291289288288287287287288289289290291291291291292292291292291291999288290290290291290291292293293293293293293293293292293292291291292291292292292292291292292295294294294293293295296296297296297297298299300299299300299298296298298297297297299298297297297296297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288286285284284285286286287287287288288290289290290290290290290290290291291291291291292292292293293294294294295295295295295295295295295295294294294294293293293292292292292292292292291292293292292293292292293293293293292292292291291289288287286285284284283283282281280279277275274275275275275276277278279279280280281281282283284284285285285285285285285286286286286286286286286286286286286286286286286286286286286286286287287287287288288288289289289290290291291292292292292292293293293293294294294294294294295295295295295296295295295296296295295295295295295295295295295295295295295295295295295294295295295295295295295295296296296296296295296295295295295295295295295295295295295295295295296295295294294295295295295295295295295294294294294294294293293294294294294295295295294294294293293293293292293292292292292292292292292292293292293293293293293293294294294294295295295295295294295294294294295294294295295295295294295294294295294293295295295295295295295295296296297297297298298298299298299299299299299299300301300301302302302302302302301301301301301301301301300301300300300300300300298299299299299299299299299299299299299299298298299299299299299299299299299299299299299300298300298299299299299300299299299299299300299299299299299299299300299299300300301301300300302301301302302302302302302302302304304304303302303303303304304304304304304304304304304305305304304305305305305305304304304303305305305305305305304305305305305305305305305305305305305305305306306305305306305306306306306306307306306306306306307307306306307306306306306306306305305305306306306306306305305306305305305305306304305305305305305307305306305305304304305305306306305305305305306305305305305305306305305305305304304304304304303303304303303303303302302302302302301302302301302302302302302302301301301301301300300301301300300300300299299299298298298298298298298298298298298298298298298298298299299299 293293294295295294294294294296297296294999999999999999999999999999999999999999999999999999999999999999293292292290289288287287287288289290290291291291291291291291291291289288290290290289290291292293293293293293293293293292293292293293292292291291291291292292292292293294294294294294294295296297297297297298298300299299299298298298299297295296296296297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292288286285284283284286287287287287288289289290291290290290290290291291291291291291292292293293293294294295295295295295295295295295295295294294294294293293293293292292292292292292291291292292291292292293292292293293293292292292290289288287286285284284283282282281280278277275274275275275275276276277278279280280281281282282283284284285285285285285285286286286286286286286286286286286286286286286286286286286286286287287288287287288288288288289289290290290291291291292292292292293293293293293294294294294294294295295295295295295296296296296296296295295295295295295295295295295295295295295295295296295295295294295295295295296296296296296296296295295295295295295295295294295295295295295295295295295294295295295295295295295295294295295294294294293293293294294294294295294294294294293293293293293293293292292292292292293292293292293293293293293293293294294294294294295295295295295295295294294294294295295295295295295295295294295294294294295295293294295295295295296296296297297297298298298299299299299300299299300300301301302302302302302302302301300300301301301301300300299300300300299300299299299299299299299298299300300299299299299299300299300299299300300298298300300300300300299299299299299299299300299300300300299299299299299299299299300300300300301301301301302302301301301302303303302303302303305304304303303304302303303304304304304304304303304304304304305304304305305305304306306304303304305305305305305305304304305305305305305305305305305305305306306305306306306306306306306306306306306306306306306306307307307307306306306306306307306306306306306306306306306305306306305305305305305305305305305305305305307307305305306304305305305305305305306306306306305306306305305305305305305304304303303303303303303302303302303302302303303302302302302302302302302302302302301301301301301300300300300300300300299299299298298298298298298297298297298298298299299298299299299298299299 293292292294295293293294295295295295295294999999999999999999999999999999999999999999999999999999999999999293292291290288288999287288288290290291291291291291291291292291291291291290291290289290292292292293294293294293293293293293293293292292291291292292292291292293293293294293294295294295296297297298298298298299299296297298298299300300296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288286285283283284286287287288288289289290290291291291291291291291291291291292292292293293293294294295295295295295295296295296296296295295294294294294294293293292292291291291291291291292292292292292292292293293293293292291292290289286286286285284283282281280279278276275274274275275275276276277278279280280281281281282283283284284285285285285285286286286286286287287287287287287287287287286286286287287287287287287287287287287288288288289289290290290291291291292292292292293293293293293293294294294294294294295295295295295295295296296296295295295295295295295295295295295295295295295295295294295295295295296295295295296296296296296296296295296295295295296295295294295295295295295295295296295295295295296295295295295295294295295295294294294294294294294294294294294295294294294294293293293293293293292292293293293293292293293293293293293293294294294294294294294295295295295295295295294295295294295295296295295295295295293294294293294295295293294294295295295296296296296297297297298298299299299299300299300300300301301301302302302302302302302301301301301301301301300300299300300301299298299299299299299298299299299300299299299299299300300300300300300300299300299299300299299298299300300300300300299300299300299299300299300300300299300300300301301301301301303303301302301301302302303303302302303304304304303302302302303303304304304304304304302303304304304305305306305305305305306305305306305305305305305305305306305305305305305305305305306306306306306306306306306306306306306306306306306306306307307307307307307307307307307307306306306306306306306306306306306306305305305305305305305305305305306305305305306306305305306306305305305306305306306306306307306306306306306306305305305305304304303304303303303303303303303303302302303302302302302302302302302302302302302301301301301300300300300300300300299299298298298298298298298298297297297297298298299299298299299298298299300 999999293294295294295295296295295295296296296294999999999999999999999999999999999999999999999999999999999999999294291290288287287287288288290290291290291291291291291292291290290291292292291291292292292294293293294293293293294293293293294294293292292292292292292292293293293292293293295296297297297298298298298298298297297299299301300301298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288285283282284286286288288289289289289290290291291291291291292292292292292292292293293293294294295295295295295295295295295295295295295294294293293293293292292292291291291291291291291291291291291291292292292293292292291291290287287287286285284282281280278277276275274275275275275275276276277278280280281282282282282282282283284285285285285285286286286287287287287287287287287287287287287287287287287287287287287287287287287288288289289289290290290291291291292292292292292293293293293294294294294294294294294295295295295295295296296296295295295296296295295295295295295295295295295295295295295295295296296296296296296296296296296296296295295295296296296295295295295295295295295295295295295296296296296295295295295294295295295295294294294294294294294294294294294294294294294294294293293293293293293293293293292293293293293293293293293294294294294294294294294294295295295295295295295295295295295295295295295295295294294294295295295294294294292294294295295296296296296296297297298298299299299299300300300301301301301302302302302302301302302302301302301301301300300300300300299299298299299300299298298298299299300300300299299299300300300300299300300299300298299298298299299299298300301300300300299299300301299299300300300300300300300300301301301301301302301301302303302302302303303302302302302304304304304302302303303303304304304304304303303304304304304305306306306305306305306305306305306305305305305305304306305304305305305305305306306306306306306306306306306306306306306306306307307306307307307307307307307307307307307307307307307307306306306306306306306305305305305305305305306306305306305305305305305305305305306306306305305306305306306306306307306306306306306306305305305305304304304304304304304304304303303303303303303302303303303303303302302302302302302301301300300300300300300299299299299299298297297297297297297298298298298298298298298299298299298299298299300 999999999294295295295296296295296296296296296295295294999999999999999999999999999999999999999999999999999999999999293291290288287287287287288290290290290291291292291292291291291291291292291292293292292293293293293294294294294294293293293293293293293294293294294293293292293293293293296297298298298297297298297297298300300299300302298300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285285283283284285286287287288288289289290291291291292292292292292292292292293292293293294294294294294294295295295295295295295295295294294293293293292292292291291291291291291291290291291290291291291291292292292292291291291290289288287285284282281280279277276275274275275275275275276276277278279280281282282282283282281999283284285285285285286286286287287287287287287287287287287287287287287287287287287287287287287287287287288289289289289290290291291291291291292292292292292293293294294294294294294294295295295295295295295295295296295295295295295295295295295295295295295295295295296295295295295296296296296296296296296296296296296296296295295296296295295295295295295296295296295296296296296296296296296296295295295295295295295295294295294294294294294295295294294294294294294294294293293292293293292292292292292293293293293294294294294294293294294294294294294295295295295295295296296296295295295295295295294293295294295295295295294294294294294294295295296296297297297297297298298298299299300299300300300301301301302302302302302302302302302301301301301301301301301300300300300299300300299299299299299299300300300300300300300299300300301300300298299299299301299299300300300300300300301300300299299300299300299300301300300300300301301301301301301302302302302302303303303304303302302303303303304304304304304304303303304304304304304305305305304304305305305305306306306306306306306305305306305305305305305305306305305305305305305306306306306306306307306307307306306306306307307307307307307307307307307307306307307307307307307307307307307307306306306306306306306305305305305305305306306306306306305305305306305305305306306306306306307306306306306306307306306306306306306305305305305304305304304304304304304304304303303303303303303302302303303303302302302302302301301301300300300300299299299299299299298298297297297297297297297298297298298298298298298299298298299299299300 999999999295295296296297296296296296296296296296294294295999999999999999999999999999999999999999999999999999999999293291289288288288287287289289290290290291291291291291291292292292291292291293292293293294293293294293295294293293293292292293292292294295293293293293292292292292293295296297297297297297296298297296298299300300301298298297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284285281283284285286287287288289290291291291292292292293293293293293292292292293293294294294294294294294294294294295295295295294294293293293293292292292291291290290291290290290290290290290290291291292292292292291291290289288287285284282281280279277276274274275275275275275275276276277278279280281283284282283999999999999284284285285285286286287287287287287287287287287287287287287287287287287287287287287287287287288288288289289289290290290290291291291291291292292292292293293293294294294294294294294295295295295295295296296296295295295295295296295295295295295295295295295295295295296296296296296296296296297296296296296296296295296296296295296295295295296296295295296296296296296296296295296296296296295295295296295295295295295295295294294294294294294294294294294294294294293293293293292293292292292292292293293294294294294294294293293293294294294295294295295295295295295296295295295295295295296295294294295294293294295294294294294294294294295295296296296297297297298298298298299299299299300300300301301302301302302302302302301301301302301301301301301301300300300300300300300300300299300300299300300300300300300300300299300300301300300300300300300300300300300300301300299300301301300300301300302300300301301300300300300300301301301301302303302302303302302302303303304305305304304304304304303304304304303303303304304304303303304303304303304305306305306305305306306306306305305305305305305305305306304305304305305305306306306306306307307307308306306306307306307307307307307307306307307307307307307307307307307308307307308308307307306306306306306306306306305305305306305306306306307306305306306306305305306307306306306305306306306306306306306306306306306306305305305305305304304304304304304304304304304303303303303303303302303303302302302302302302302301301301300300300299299298298299299298298298297297297297297297297298298298298298298298298299299299299299299300 999999999999296296296297295296296296295295297296294294295296999999999999999999999999999999999999999999999999999999999292290287288287287287288289289290290290290290291292291291291291292292291292292292291292294294293293293293293292292292292291291291291292292293294293292292293293294294296297298297297298295296295296297298300298298297297299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285280282283282283286287288289290291291292292293293293293293293293293293293293293294294294294294294294294294294295295295295294294293293293293292292292291291291290291290290290290290290290290291291292292292292291291289288285286285283282280278277276275274275275275275275275275276276277278279279281283284283283999999999284284285285285285286286287287287287288287287287287287287287287287287287287288288288288288288288288288288289289289290290290290291291291291292292292292292293293293294294294294294294295295295295295295296296296295295295295295295295295295295295295295295295295295295295295295296296296296297297297296296296296296296296296295296296295295295296296295295296296296296296295296295296296296296296296295295295295295295295295295295294294294294294294294294294294294294294294293293293293293293292292292293293293294294294294293293294293294295295295295295295295294295295295296295296295295296295295295295295294294293293293294293294294294294295295295295296296297297297298298298298299299299299300300300301301301301302302302302302302301302301301301300301301300300300300300300300300301300300300300300300300300300300300300300300300300300300300300300300300301301300301301300300299300302301301301301301301301301300300300300300300300300300301301301302302302302302302302303303303305305304304303303304303303304304304303303303304304303303304304304304304304306304304305304306305305306306305305305305305305305305306305305305305305305306306306307307307307307307306306306307306307307307307307307307308307307307308307307307307308308307308307307307307307307307306306306306306306306306305306305306306306306306306306305306305306305306307305305305305305305306306306305305305305305304305305304305304304304304304304303304304303303304303303303303303303302302302302302302302302301300300299299299298298298298298298298298297297297297297297297298298298298298298298298298298298299299300299 999999999999999297296298297999295294295296294294294295294295295999999999999999999999999999999999999999999999999999999999290288288287288288288288289290289289290290290290290290291291291290291291292292292292293293293293293293293292292292291291291291291291292293293294293292292292292294296296296296297298297297296296297297297297297297298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284281283282283285286288289290291291292292293293293293293293293293293293294294294294294294294294294294294294294294295294294294293293293293292292291291291291291291290290290289289289289289290291292292293292291290289288287286284282281279277276275274275275275275275275275275276276277278278277279281284286999999999999285285285285285286286286287287287288288288287287287287287287287287287287288288288288288288288288288288288289289289289290290290290291291291291291291292292292293293294294294294294294294294294295295295295295295295295295295295295295295295295295295295295295295294295295295295295295296296296297297296296296296296296295296295296295295295295296295295295296295296295295295296295296295295296295295295295295295295295295295295295294294294294294294294294295295294294294294294293293293293293293292293293293294294294294294294293294294294295294295295295295295295295295295295295296295295296295295295295296294294293293293293293293293294294295295295295295296296297296297297298298298299299299300300300300301302302302302302302302302302302302301301300300300300301301301300300300300300300300300301301301300300300300300300300300300300299299300300299300300300300300300300300300300301301302302301301301301301301301301300300300301300301300300301301302302302302302302302301302303303304304303303303303303304303304304304304303304305304304305303304304304305305305305304306305305305305305305305305305305305305304304305305305305305306305306305306306307307307307307306306306306307307307307307307307307307307307307307307307307307307307307307307307307307307307306306306306306306306305305305305306306306306306306306306305305305304305305305305305305305305305305305305305305305304304304304304304304304304304304303304303304304303303303303303303302303302302302302302302301301300300299299299298298298298298298297297297297298296297297297298298298298298298298298298298298299299298299299 999999999999999999293296999999999296294295296295294294295294295297298299999999999999999999999999999999999999999999999999290288288288288287287288288288289290290289289289289289289290290291290291292291292291292292292292292292291292291291291291290290290290291293293293293293293292293296296295296297298298298297296297296296296297297296297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289293287284282280280284285286287288289290291292292293293293294294294293293293293294294294294294294294294294294294294294294294294294294293293293293292291291291291291291290290289289289289289289289290290291291292292291290288287285284282281279277276274274275275275275275275275275275276277277278278278278999285286288999999999285285285285285286286286287287287288288287287287287288288288288288288287288288288288288288288288288288288289289289289290290290290291291291291291291292292292293293293294294294294294294294294294295295295295295295295295295295295295295295295295295294294294294294295295295295296296296296296296296296296296296296295295295295295296295295295295294295295294294295294295295295295295295295295295294295295295295295294294294294294294294294294294294294294294294294294294294294294293293293293293293293293293293293294294294294294294294294294294294295295295295295296296296295296295296295294295295294294294294294294294294293293294294294294295295295295295296297296297297297298298298299299299299300300300301301301301301301302302302301302301301301300300300300300299300300299299299300300300300300300300300300300300300300300300299299300299299300300299299299299300300300299300300301301301301301301301301301301301301300300300300300300300300301301302302301302302302302302303303302301303303303303303303303304304303302303304303304304304304304304304304304304304305304304305305305304305305305304305305304304304304305305305305305305305305305305305307306307307306306306306306306307307307307307307307307307308307307307307307307308307308307307306306306307306306306306306306306306305306306306306306306306306306305305305305305304304304305305305305305305305305305304304305304304305305304304304304304304304304304304304304304304303303303303302302302302302302302302301301301300299299299299298298298297297297297297297297297297297298298297298298298298298298298298298298299299298298299 999999999999999999999999999999999999999294294293999294295295295296297297297999999999999999999999999999999999999999999999291289288288288287287287287288289289290289289288289289289290289290291291292291291292291291292292292291291291290289289289289289290290291293293293293293293293298295301297296299298299300298297296297296297296298297297299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292288293287285283281281282283284286288289290291292292293293293293294294294293293293294294294294294293293293293294294294294294294294294294293293293292292291290290291291291290289288288288288288288288289290290291291291290289288286284283281280277276274274274275275275275275275275275276276277278279279279999999285286287999286285285284285285285286286286287287287288288288288288288288288288288288288288288288288288288288288288288288289289289289289289290290290290290291291291291291292292293293293294294294294294294294294294294294294294295295295295295295295295295295295295294294294294294294294295295295295296296296296296296295295296296296295295295295295296295295295295295294294294294294294294295295295295295295295295295295295295295295295294294294294294294294294294294294294294294293294294294294294294293293293293293293293293293294294294294294294294294295295295295295295295295295296296296296295295295294294295295294294294294294294294294294294294294295295295296296296296296296296297297298297298299299299300299300300301301301301301301301302302301301301301300301300300300300300299300299299299299300300300300299300300299300300300300299299298299299299299300300300299299299299300299300299301301301301301301301301301301302301301301300300300300300300300301301302302302302302302302302302302302302301303303303303303303303303303303303303302301303302303303304304304304304305304304304304305305304305305304304304305304304304304304305305305305305305305306305307307307307306306306306306306307307308307307307308307307307307307307307307307307307307308307307307306306306306306306306306306306306306306306306306306306306306306306306305305305304304305305305305305305305305305305305304305305304303304305304304304304304304304304304304304304304304304303303303302302302302302302302301301300300300299299299298298298297297297297297297297297297298297298298298298298298298298298298298298298299298298298299 999999999999999999999999999999999999999293999999999999295296295295295296296296999999999999999999999999999999999999999999999290289288288288287286287287288288288288289288288288289289289290291291291291291290290291292292291290290289289289289289289289290290290291292292294292293293296297999999301299298299299298298297296296296296295297297299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287290286285284282281282283287285287289290290291292293293293294294294294294294293294294294294294293293293293293294294294295295294294294293293293292291290290290291291290289289288287288288288288288288289289290290290289287287285284282280278275274274274275275275275275275275275276276277278279279279999999283284285286286287286285284285285285286286286287287287288288288288288288288288288288288288288288288289289288289289289289289289289289289289289290290290290290291291291291291292292293293293294294294294294294294294294294294294294294295295295295295295295295295295295295295294295294294294295295295295296296296296296296295295296296296296295295296295295295295295294295294294294293293293294295294294294295295295295295295295295295295295295295294295295295294294294294294294294294294294294294294294294294294293294293293293293293294294294294294294294295295295295295295295295295296296296295295295295295295294294295295295295295295295294294295295295295295296296296296296297297297297297296298298298298300300299300300301302302302302302301301301301302301301300301301301300300300300300300299299300300300300300301301300299299300300300300299300299299299299299299300300298299299299300300300300301302301301301301301301301302301301301300300300300300299300300301301301301302302302302302302302302302301301301303303302303303303303303303303303303304302302303304304304304305304304304304304304305305305305305304305305305306305304305305305305305305305306305306306306307307307307307307306306306307307307308308308308308308308307307307307307307307307308308307307307306307306306306306307306306306306306306306306306306306306306305306306306306305304304305305305305305306306305305305305306305305305304304305305304304304304305304304304304304304304304303303303303303302302302302302302301300300300299299299299298298298297297297297297297297298298298298298298298298298298298298298298298298298298298298298299 999999999999999999999999999999999999999295999999999296295295294294295295295296296295999999999999999999999999999999999999999290289289288288287287287286286287287287288288287287288288289289290290290290290290290290291291290290289290289289288289289289290290290290291293294293294294295999999999999301300299300300303298297296297296296297295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294288285283283283281282282283284286287289290291292293293294294294294294294294294294294294293293293293293293293293293294294294294294294293293293292290290290290291291290289288287287287287288288288288289289288288288288283284284283281278275274274274274275275275275275276276276276277277278280280279999283283284285285286286286285285285285285286286286287287287288288288288288288288288288288288288289289289289289289289289289289289289289289289290290290290290290290291291291291291292292293293293294294294294294295295295295294294294294294295295295295295295295295295295295295295294295295295295295295295295296296296296296296296296296296296296295296296295295295294295294295294294294294293293295295294294295295295295296296295295295295295295295295295295295295295295295294294295294294294294294294294294294294294294294294293294293294294294295295294294295295295295295295295296295296296296296296295295295295295295295295295295295295295295295295295295295295295296296296297296297297297297297297298298298299300300300301301301301302302302303302302302302302301302301301301301301300300300300300300300299301301300301301301301300299299299299299300299299300300299299301301300299300300300300300300300302301301301301301300301301301301301300300300300300300300299300300301301301302302302302302302302302302301301301301301303303303303303303303303304301301302303303304304304304304304304304304304304305303305305305305305305305306304305305305305306306305305306306306306306307307307307307307306306307307307308308308308308308308308307307308308307307308308308307308307307307307307306306307307306306306306306306306306306306305306306306305306306306305306305305305306306306306306306306305305306307304305305305305304305304304305305305304304304304304304304303303303303303302302302302301301301300300300299299299299298298298297297297297297297297298298297297298298298298298298298298298298298298298298298298298299 999999999999999999999999999999999999999999999999999296296295295294294294294295296296296999999999999999999999999999999999999999289289289288287287287286286286286286286287287287287288289289289290289289290290290290289289289289289289289288288288288289289288289289291292293294295295293999999999999999304300299305303300298296297296298298295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287283282282282281281282282282284286288290291292292294294294294294294294294293294293293293293293293293293292292292293293293294294293293293292291290290290290290289289288288287286286286287287287288288288286285286282279281281279277275274273274274275275275275276276276276276277277278279280280999999999999283284284285285286285284285285285286286286287287288288288288288288289289289289289289289289289289289290290290290290290289289290289289289289290290290290290291291291291292292293293293293294294295295295295295295295295295294295295295295295295295295295295295295295295295295295295295295295295295295295296296296296296296297297296296296296296295295295296295295295295295294294294294294294294295294295295296296295295295295296295295295296295295294295295295294294294295295294294294294294294294294294294294294293294294294294295294295295295295295295295295296295295295296296296296296296295295295295295295295295295295295295296296296295295296296296296296296296297297297296297297297297298298299299300300300301301301301302302303303303303303303303303302301301301301301301301300300300300300300301300299301300300300300300300300299300300299300300300300300299299300300300300300300300301301301301300301300301301301301301301301301301300300300301300300300300300301301301302302302302302302302302302302301302302301303302302303303303303304304304302302303303304304304304305304304304304304304304305305305305305305305305305305305305305305306306304306305306306306307307307306307307307307307307307307308308308307307308308308308307308308307307307308308307307307307307307307307307307306306306306306306306306306306306305306306306306306306305306306305305305306306306306306306306305305304305305305305305304305305305305305305305304304304304304303303303303302302302302302301301301301300300299300299299299298298298298297297297297297297297297297297297297297298297298298298298298298298298298298298298299298 999999999999999999999999999999999999999999999999999295295294294293294294294295295295295296296296999999999999999999999999999999289290289288288287287286285285284284284285286287287288288288289289289289289290290289289289289289288288288288287288288288288288287288290292294293293293294999999999999999999999999999999999999298297295296299296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281279281282282281282282282283285287288290291292293294294294294293293293293293293293293293293293292291291292292292292292293293293293293291290289289289290289289289288287286285285286287287286287287286284285999999277278276275273272272273274274275275275275275275276276276277278278279280280999999999999283283283285285286285284285285285286286286287287287288288288288289289289289289290290290290290290290290291291290290290290290290290290290290290290290291291291291291291292293293293293293294294295295295295295295295295295295295295295295294294295295295295295295295295295295295295294295295295295295295295295296296297297297296297297297296296296296296296295295295295295294294294294294294294294294295295295295295295296295296296296295295295295295295295294294294294295294294294294294294294294294294294294293294294294294294294294295295295295295295295295295296295296296296296296296296295296295295295295295295295295295296296296296296296296296296296296296296296297296297297297297297298298299300300300300301301302302302302302302302303303303303302302301301301301301301301300300300300300300301300300301300300300300300300300300300300299300300300299299300300300300300300300300300301301301301300301300301301301301300301301301301300300299300299300300300300300301301302302301301302302301301301302301302301301302302302302303301301303302302301303302303304303303303304304304304304304304304304305304305305305305305305306306306306306306306306306306306306306307306306306306306307306307307307307308308307307307307307308308307307308307307307308307307307307307307307307307307307306306306306306306306306306306305305305306306306305305307306307306305305305305305305306306305305305305304304304304304304304304305304305304305304304304304303303303303302302302302301301301301301301300299299299299299299298298297297297297297296296297297297297297297297297297297298298298298298298298298298298298299299299 999999999999999999999999999999999999999999999999999999999295999999293293294295295296296296296296295999999999999999999999999999292291290289288287287286285285284284285285286287287287288288289289289289289290289289289289289288287287287287287288288287287287288289289291292292290999999999999999999999999999999999999999999999999297298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279283286282282282282283284286287289290292293293294293293293293293293294294294294293293292291290290290290291292292292293293293292291290289289289289289289288288287285284285286287286285286286285284999999999999275270270271272273273274274275275275275275275276276277277278278279280999999999999999284284284284285286999283284285285286286287287287288288288288289289289290290290290290290291291291291291292291291291291291291291291290290290290290290291291291291292292293293293294294294294295295295295295296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295296296296296296296297297297297297297297297296296296295295295294295295295294294295295295295294295295295295295296296296296296296296296295295295295295295295295295295294294294294294294294294295295294294294295295295294295295295295295295295295295295295296296296296296296296296296296296295296296296295295295296296296296296296297296297296296297297297297297297297297297297298298298299299300300300301301301301302302302302302302302303302302303302302302302301301301301301301300301301301300300300300300301302301301300300300300300299299299300299299299299300298299300299300300300300300300300301300300301301301300301301301301301301299299300300301300300300300301301301301301302302302301301301301302301301301303303302302300302302302302301301302302303303303303303304304304305304304304305305305304305305304305306305306306306305305305305305305305306306306306307307307307307307307306306307307307307307307307307307307308307307307307307307308306307307307307307307307307307306306306306306306306306306306306305305305306305305305306306307307306306305305305305305305305305305305305309304304304304304304304304304304305304304304304304303303303303302302302301301301301301301301300299299299299299298298298297297297297297297297297297297297297297297297297297297297298298298298298298298298299298298298 999999999999999999999999999999999999999999999999999999999999295294999999999295296295295295295295295295999999999999999999292999999291292291289288287286286285284284284284285286286286287288288288288289289289289288288288288288287287287286286287287287287287289288289290292291292999999999999999999999999999999999999999999999999999999999296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284283281282283284284285286287289291292293293293293293293293294294294293293292292291290290290290290290291291292293293293292291290288288288288289288287287287285284284285286286285285285285285999999999999273268270271272273273274274275275275275275275276276277277277278278279999999999999999284283283999999999999282284284285286286287287287288288288289289290290290290291291291291291291292292292292292292292292292292292292291291291291291291291292292293293293294294294294295295295295295295296295296295296295295295295295295295295295295295296295296295295295295295295295295296296296296296296296296296297297297297297298298297297297296297296296296296295295295295295295295295295295295295295295295295295296296297297296296296296296296296295296295295295295295295295295295295295295294295295295295294295295295295295295295295295296295296296296295296296296296297296297297297296296296296296296296296296297296297297297297297297297297298297297297297297298297298298298299299299299300300300301301301301301302302302302302302302303303303303303302302302302301301301301301301301301301300301301301301301301300300301300300300300300300300299299299299299300300300300300300300301301300300301301302301302301301301301301301301300301300299300300302302301301301302301301301301301302302302302302303302302301301301303303301301302302303303303302302303303303303304304305304305304305305305305305305305305305304305306306305305306306305305305305306306306306306306306307307306307306306306306307307307307307307307307308308308308307307307307308307307307306307307307307307307307307306306306306306306307306306306306305306306305305305305305305306306306305305306306306306305305305305305308308304304304304304304304305305304304304304304304303303303303302302302301301301301301301301300300299299299299299298297297297297297296297296296297296296297296297297297297297298298298298298298298299299299298299298 999999999999999999999999999999999999999999999999999999999999999294999999999295296295294294295295295295999999999999999999295999293292291291290289288286286285285284284284284285285286286287287288288287287288288287287286287287287287286286286287286287287287287288289290291291292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284283283284285285285286287289290291292292292292292293293294294293290292292291291290289290290290290291291292293293293292290289288287287288288288286286286285284283284285285285284284999999999999999268267268270271272273273274274275275274274275275276276277277277277278278999999999999999282284999999999999999283284284285286286287287288288288289289289290290290291291291291292292292292293293293292292292292292292292292292292292292292292292293293293294294294295295295295295295295295296296296296296296296295295295295295295295295296296296296296296296296296296295296296296297297297296297297297297297297297297297298298298297297297297297297296296296296296296295295295295295295295295295296296296296296296297297297297297297297296296297296296296296295296295295295295295295295294294294295295295296296296296296295295295295296295296296296296296296296296297297297297297297297297296296297297297297297297297297298298298298298298298298298298298298298298298298299299299299300300300300301301301302302302302302303302303303303303303302302302302302302302302302301301302301301301300301301301301300301300300301300299300300300299300299300299299299299299300300300301301301301301300302301301302301301301301301301301300300300300300299300301301301302302302302301301302302302302302302302302302302302301303303303304302302302303301303303304302303303303303304304304304304305305305305305305305305305305305305306305305306306304305305305305305306306306305306306306306306305306306306306306307307307307307307307308308307307307308307307307307307307307307307307307307307307306306306306306307307306306306306305306305304305305305305304305305305305306305306306306305305305304304306307303304304304304304304304304304304304304303303303303303303303302302301301301300300301300300299299299299299298297297297296296296296296296296296296296296296296297297297297298298298298298298299299299299298298298 999999999999999999999999999999999999999999999999999999999999999294999999999294295293293294295295295295295296296295293294293293293292292291290289288287286286285285285284284284284284285287287287287287287287286286285285285286286286286286286286285286285286287287289290291290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285285286286286287288289290291292292292292292293293293294293999999999999291291291291291291291291291292292293293292290289287286287287288286285285285285284283283284285283282280999999999999265267267269271271272273273274274275275275275275275276276276277277277278999999999999999290288999999999999999999283284285285286286287287288288288289289290290291291291291291292292292292292293293293293293293293292292292292292292292293293293293294294294295295295295295295295295295295295295296296296296296296296295295295296296296296296296296296296296296296296296296296296297297297297297298298298298298298298298298298298297297297297297297297296296296296296296296296296295295295296296296296296296296296296296297297297297297297297296297296296296296296295296295295295295295295295295295295296296295296296296296295295296295296296296296296296296296296296296297297297297296297297297297297297297297297298298298298298298298299298298298298298298298299299299299299299300300300300300301301302302302302302302302302303302303303303303303303302302302302302302302301301301301301301301301301301301301301301301301300300301300300299298299300299300300300299300300300301301301301300301300300300301301301300300301300300300300300300300300301300300301301302302302302301301302302301302302302302303302302302302302304302302302302302302303303302303305304303304304304304304304304305305305305305305305305305305305305305304305306305305305306306306306306306306307306306306307307307307306307307307307307307307307307308308307307307307307307307307306307307307307307307307307307306306306307306306307306306306306305305305305305305305305305306305305305305305306306306305305305304304304304304304304304304304304304304304304304304303303303303303302302302301301301301301300300300300299299299299299298297297296296296296296296296296296296296296296297297297297297297298298298298298298299299298298298298 999999999999999999999999999999999999999999999999999999999999999999999999999293292291291292293295294293293294294293293293292292292999999999290290288287286286285285284284284284284284285286285286286287286286285285283284284284285285285285286285286285285285286289289291289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284285286287288288289289290290291291292291291292292292292999999999999999999291290290290290291290291291292292292290288286285286286286285284284285284283282282283283282999999999999999999265266268270271272272273274274274274275275275275275276276276276276277278999999999999291291290286999999999999999284284285285286286286287287288288289289290290291291291292292292292293292292292293293293293293293293293293293293293293293293294294294294295295295295295295295295295295295295296296296296296296296296296296296296296296296297297296297296296296296296296296297297297298298298299299299299298299299299299299299299298298298298297298297297297297296297296296296296296296296296296296296296296296296296297297297297297297297297297297296296296296296296296296295296295295295295295295295296296296296296296296296295295295295296296296296296296296296297297297297297297297297298297297298298298297297298298298299299299299299299298299299299299299299299299299300300300300300300301301301301302302302302302302303303303303303303303303303303302302302302302302302302302301301301301301301301301301302301300301301300300300299299298299299299300300300299299300300300300301300301301302301301301301301301301300300300301300300300300301301301300300301301302302302301302301302302302302302302302301301302302302302302302302302302302303303303303304304304304304304304304304305305304305304304304304305305305305305305305305305305306306306306306306306306305307307307307307307307307307307307307307307307308307307308308307307307307307307307307306307307307307307307307307306306306307307306306306306306306306306305305306305305305305304306305305305304305305306305305304304304305304304304304303303303304304304304304303303303303303303303303302302301301301301301300300300300300300300299299299298298297297296296296296296296296296296296296296297297296297297297297297298298298298298298298298298298 999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999292293294999293294294294293999999292999999999999290289288287286286285286285284283283283284284285285285285286285285284283282282282283282283284285284284286285285285287288289289288288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283285287288288288289289289290290291291290289291291292293999999999999999999999291290289999290290289289290290291290288286284285285284283283283283284283282282282281999999999999999999265266267269271272272273273273274274274275275275275275276276276276276277278999999999291290291999999999999999999285284284285285285286286287287288288289289290290291291291292292292293293293293292294294293293293293293293293293293293293294294294294295295295295295295295295295295295295295296296296295296296296296296296296296296296297297297297297297297297297297297297297297298298298298299299299299299299299299299300299300299299299299298298298298297298297297297296296296296296296297296296296296296296296296296297297297297297297297297297297296296296296296296295296295295296296295295295295295296296296296295296296295296296295295296296296296296296297296296297297297297297297298298298298298298298298298298299299299299299299299299299300300300300300300300300300300300300300301301301301301302301301302302302302303303303303303303303303303302302302302302302302301302301301301302301301301301300301301300300300299302298299299298299299298300300300299299300299300300300300300300301301300301301301301301301300300300300300300300300300300302300300300301302302302302302302302302303303302302302302302302302302302302302302302302302302302304302303303304304304304304304304304304304304304304304304305305305305305305305305305305306306306306306306305305306307306307306306307307307307307307307307307307307307307308307307307307307307307307307307306308308308307307307306306306306307307307307306306306306306306306306306306306305305305305305305305304305305305305304304304304304304304304304304304303303303303303303303303303303303302302302302302302301301301301300300300300300300300300299299298298297296296296296296296296297297296296296297296296296296296297297297297298298298298298298297298298 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293293292293295294293999292291291291999999289289288287287286286286285285284283283283282283283283283283283282282282282281281281280282283283284286285285285286288288288288287287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288288288288288289289290291291290290291291291291999999999999999999999999999999999999999999999999999999999288286283282284283283283281282282283283281280280999999999999999999265265267269270271272272273273273273274274275275275275275276276276276276276278280999282291291999999999999999999286285284284284285285286286287287288288289289290290291291291292292293293294294294294294294294294294294294294293293293294294295295295295296296296296296296296296296296296296295296296296296296296296297297297297297297297297297298297297297298297298298298298298298298299299299300300300300300300299300300300300300299299299299299299298298298298297297297297297296297296296296296296297297297297297297296296296296296297297297297297297297296296296296296296295295296296296296296296296295296296296296296296296296296296296296296296296296296296297297297297297297297297298298298298298299299299299299299299299299299299300299300300300300300300300300301301300300300300300300300301301301302301301301302302302302302303303303303303303303302302302302302302302301301301301302301301301301301300300300300300299301300300299299299298298299299299300300300300300299300300300299299301301301301302301301301301300300300300300300300300300300301301300301301302302302302301302301301301302302302302302302302302302301301301301302302302302303302303303303303304304304304304304304303304303303304304304303305305305305305305305305305305305305305305305306306306306306307306306307306307307307307307307307307307307307307307307307307307307307307307307307308307307307307307306306307307307307307306306306306306306306306306306306306306306306305305305305305304305305305304304304304304307306304304304304303303303303303303303302302302302303302302302302301301301301300300300300300300300300300299299299298297296296296296296296296296296296296296296297296297296296297297297297297297297297297297297297297 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293291999292293293293292293999290290290999288289289288288287286286285284283283282282283282283282283283282282282282281281281281282283283286286286286285285286287288288290285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290288999999999999999286286287288288288288288288289289289289290999292292293999999999999999999999999999999999999999999999999999999999999999999287999999999999999999999999282282282999999999999999999999264265266268270271272272272273273273273274275275275275275275275276276276276276278279281999285285999999999999288288287285284284284285285285286286287287288288289290290291291291291292292293293294294295294294294294294294294294294294294295295296296296296297297297296296296296296296296296296296297296296296296296297297297298298297298297298298298298298298298298298298298298298299299299300300300300300300300299299300300300300300300300300299299299299299298298298298297297297297297297297297297297297297297297297297296297297296297297297297297296297297297297297297297296296295296296296296296296296296296296295296296296296296296296296296296296296296296296297297297297297297297298298298298299299299299299299299299299299299300300300300300300300300300301301301301301301301301300300300301301301301301301302302302302302302303303303303303303303303303303302302302302302302301301301301301301301301301300301299300300299300301300300299299299299299300300300300300299299300300299300300300300301300302302301300301301301300300301301301300300300301301301301300301301301301302301301301301301301302302303302302302302302302302301301302301303304303302303303304304303303304304304304305304303303305304304304304305305305305305305305305305305305306305305305305305306306307306307307306307307307307307307307307307307307307307307307308308308308308307307308307308307307307307306306307307307307307307307307307307307306307306307306307306306306306306306305305305304305305305304304304304304305304304304304304303303303303303303302302302302302302302302302302301301301301301300300300300300300300300299299298298297297296296296296296296296296296296296296296296297296296297297297297297297297297297297297297297 999999999999999999999999999999999999999999999999999999999999999999999999999999291291291999999290291291999291292292292292292291291289290289289289289289288288287286285284283283282282281281281281281281281281281281281279278279281282284283284284284283283284286286286286285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288286286285285286286286287287287288288288288287287287288288288288288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263264266268270271271272272272273273273273274274275275275275275275275276276276276275277278999999999999999999287287287286285284284284284284285286286287287288288289290290291291291291292292292293293294295295295295295295295295295295295295296296297297297297297297297297296296296296296296296296296297296297296296297297298298298298298298298298298298298298298298298298298298298299299299299300300300301300300300300300300300300300300300299299299299299299299299298298298298298298298298297297297297297297297297297297297297297297297297297297297297297296297297297297296296296296296296296297296296296296296296295296296296296296296296296296296296296297296297297297297297297297297297298298298299299299299299300299299299300300300300300300300301301301301301300301301301301301301301301301301301301301301301302302302302302302302302303303303303303303303303303302302302302302302302301301302301301301301301301301300300300300300301300299300300300300300300299299299299300300299299300299299299300301300302301301299300301301301301301301301300300300300301301300301301301301301301301301301301301301302302302302302303302302302302303303302302303303302302302303303304304304304303303304304304304304304304304304304305305305305305305305304305305305305305305305305305306306307306307307307306307306307307307307307308307307307306307307307308308308307307307308308308308307307307307307307307307307307307307307307307307306307306307307307306306306306306305305305305304305305305305304304304304305305304304304304304304303303302302302301301302302302302302302302301302301301301301301301301301300300300299299298298297296296296296296296296296296296296296296297297296296296296296297297297297297297297296297297297 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288290290291291291292293292291290290290290289289289289288288287287286285285284283282281281281280280280280280280281278277279279281281281282283284284283283283285286287286286281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286285285284284285285286286287287287288288288287287287287288288287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267269270271271271272272272272272273273273274274274274274275275275275275276276275276999999999999999999999999284284284283284284284284284285285286286287287288289290290290291291291291292292293293295294295294294295295295295295295296296296297297298297297297297297297297297297296296296296296296296296296296297297297298298298298298298298298298298298298298298298298298299299299299299299300300301301300301301301300300300300300300300299299299299299299299298298298298298298298298297297297297297297297297297297297297297297297297297297297297297296296297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296297297297297297297297297298298298298299299299299299299299299299299299300300300300300300301301300300300301301301301301301301301301301301301301301301301301302302302302302302302302303303303303303303303302302302302302302302301301301301301300301301301301301301300300299299299299299299300299300299299299299299299299299299299299299299300301300301300300299299300301301301301301300300300300300300300300301301300301300302301301301301301301301302302302302303303302302302303302303303303304303303303303303303303304304303303303303304304304304304304304303304304304305305305305305305305305305305305305305305306307307306306305307306306306306306306306307307307307307307307307308308308308307308307307308308308307307307307307307307307307307308307307307307307307307307307307307306306305306306305305305305304304304304304304305305304305304304304304303303303303303302302301301301301301302302302302302301301301301301301300301301300300300300299299298297297296296296296296296296296296296297296296297296296296296296296296296296297297297296296296296296 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288999999289290290290290292292291291289290290290289289289288287287286286286285284283282281280280280279279279278279280276276278281280281281282283283283283283283284285286286285282999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285284284284284284285285286286287287287287287287287287287288287287286285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266268269270271271271272272272272272272272273273273274274274274274274274275275275276275276999999999999999999999999999999999282283283284284284284284285285286287288289290290290291291291292292293292293295295294294294294295295295295296296296297297298298297297297297297297297297297297297297296296296296296296296297297297298298298298298298298298298298298298298298298298298298299299299299299299300301300301301301300300300300300299300300300300299300300299299299299298298297298298298298297297297297297297297297297297297296297297297297297296297296296296296296296296296296296296296296296296296296296295296296296296296296296296296296296296296296296296296296296297297297297298298298298298298299299299299299299299299299299299299299300300300300300300300300301301301301301301301301301301301301301301301301301301301301301301301302302302302302302302302302302303302301302302302302301301301301301301301301301301301300299300300299299299298299299300300299299299299299299300299299299299299299299299300300300299299299300300301300301301300300299300300300300300300300300300300301300301301301301301301301301302302302302302302303302302302303303303302303303303303303303303303303303303304304304304304304304303303303304304304304305305305305305304305305305305305305305306305305305305306306306306306306306306307307307307306306307307307308308308308308308308307308308307307307307307307307307307307308308308307307307306307307306306307306306306306305304304305304304304304304304304305305305305304304303303303302303303302302301301301301301301301302302302302301301301301301301300300300300300300299299298298297297296296296296296296296296297297297296296297296296296296296296296296296296297296296296296296296 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287999999999289289291292292292292290289289289289289288287287287287287286285285284282281280279279278278278277278279279279280279279281281283283283283283283283284284284284284282999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283284284284284284285285286286287288288287287286287287287287287285999999999999293293293292291999999999999287286285285284283999280279279279279279279279279278278277999999999999999999999999999999999999999271270271271271271272272272272272272272272272272273273273273273273274274274274275275276276277278999999999285285999999999999999999282283283283283284284284285285286287288289290291291291292292293293294293295295294294294294295295295296296296297297298298298298297297297298298298298298298298298297297297296296296296296297297297297298298297298298298299298298298298298299298298298299299299299300300300300300300300300300300300300299300300299299300300300299299299299299298298298298298297297297297297297297297297297297297297297296297297297296296296296296296296295295296296296295296296296296296296296296295295296296296296296296295296296296296296296296296296296297296297297297297297297298298298298299299299299299299299299299299299300300300300300300300300300301301300300300300301300300301301301301301301301301301301301301301301301301301302302302302302302302302302302302302301302301301301301301301301300301300300299300299299299299299299299298298299299299298298299300300299299299299300300298299299299300299299300300300300300300299299299299300300300300299300300300300300300301300300300301301301300301301302302302302302303302302303303302303303303303303303303303303303303303303303303303303303303303303303304303303304304304304304304305305305305305305305305305305305306306305306306306306306306306307307306307307306307307307308308308308308308308308307308308308307307307308308307307307308308308308308307307307306307306306306306306305304305304304304304304304304304304305305305305304304304303303302302302302303301301302301301301301301302301302302301301301300300300300300300300300299299299298297297297297296296296297297296297297297297297297297296296296296296296296296296297297296296296296295296 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290999999999999999289290291291292292291290289289289289287287287287287287286285285284283281280279278278278277277278279280280279279280280282282284284283283283284284284285285283282999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283283284284284284285285286286287287288287287286286287287287288288286999999999999294293292292290289288287287287287286286285284283282282281281281281281281280280279279278999999999999999999999999275274273273273273272272272272272272272272272272272272272272272273273273273273273274274274275275276275278280283999999285285284284283283999999281282283283283284284284284284285286288289290290291291292293293294295294294295294294294295295295296296296297298298298298298298298298298298298298298298299299298298298297297297297297297296296297297297298298298298299299299299299299299299299299299299299300300300300300300300301300300300300300300299300300300300299299299300299299299299299299298298298298298298298298298298298298297297297297297297297297297297297297296296296296295295296296296296296296296296296296296296296296296296296296296296296296296296296296297297296297297297297297297297298298298298298298299299299299299299299300299300300300300300300300300300300300301301301301301301301301301301301301301301301301301301301301301301301301301301302302302302302302302302302302302302302302302302302301302302301301300300300300300299299299299299299299299299299299299299299299300300300299299300299299300298298299300299300300301300300301300300300299300300300301301300300301301301301300301301301301301301301301301301302302302302302303303302302303303302302303303303303303303303303303304304304303303303303304304303304304304304304304304305305305305305305305305305305305305306306306306306306306306306306307307307307307307307307307307307307308308308308309309309308308308308308308308308308308308308308308309308308308307307307307307308307307306307306306305305304305305305304305305304305305305305304304304303303303302302301302301302302301302301301301302302302302302301301300300300300301300300300300299298298298297297297297297297297297297297297297297297297297297296296296296296296296296296297297296296296296296 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290291291291291290290289289288287287287287287286286285285284282281280279278277277277278278279278278278279279280281282283283283282284284284285285285284284285284999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282283283284284284285285286287287287288287287286286286286287288288286999999999293293293292290289288288288288288288288287287286285285285285284283283283282282281281280279278278277277277277277276275275274274273273272272272273273272273272272272272272272272272272273273273273273273274274274275276278279281283999999284285284284284283284283283283282283283283283283283283284284286288288289290290291292293293294294294294294294294295295295296296297298298298298298298298298298298298298298298298299299299298298298298297297296296296296296296297297298298298299298299299299299299299299299299299299299300299299299300300300300300300300300299299299299300300300299299299299299299299299299299299298299299298298298297297298297297297297297297297297297297297297297296296296296296295296296296296296296296296296296296296296296296297297296296297297297296296296296296297297297297297297297298297298298298298298298299299299299299299300299299299299300300300300300300300300300301301301301301301301300300301300300301301301301301302301301301301301301301301301302302302302301302302302302302302302302302302302302302302301301300300300300299299298299299299299300299299300299299300300300300299299299299300300300299299299299300300300300300300300301300300299299300300300301301301300300300300300301301301301301301301301301301301302302302302302302302302302303302302302303303303303304303303303303303304303303303303303303304304304304304304304304305304304305305305305305305305305305305306306306306306306306306306306307307307307307307307307307307307307308308308308308309309309308308306308308308308308308308308309309308309308308308307307307308307307307307306306306305305305305305305304304305304304305305304304304303303302303302302302302302302302302302302302302302301301302301301301301301301300300300300300299298298298298298298297297297297298298298297297298297297297297297297296296296296296296296297297296296296296296295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290290290291291290289288288288287287287287286285285284284283282281279278278277277277277278278278277277279279281282283284284284284284284284283283284283284285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282282283284284284285286286287288288288287287286286287288289288290999999999294293292292291290289289289289289289289289289288288288288288288288286286285285284283282281280279278278277277276276275274274273273272272272272273273273273273273272272272271271271272272272272272273273273274274274274276277279282282999999284284283283283283283283283283282282282282282283283283283284284284287287288289290290292292293294294294294294295295295296296297297299299299299299298298298298298298298298298299299299299298298298297297297297296296296296296296297297297298298298298298298298299299299299299299299299299299299300299299300300300300300300299299300300299299299299300299299299299300299299299299299299299299299298298297298298298298297297297297297297297297297297296296296296296296296296296296296296296296296296296296296296296296297297296297297297296296296296297297297297297297297297297298298298298298298299299299299299299299300300300300299299300300300300300300300300301301301300300300301301301301300301301301301301301301301302302301301301301301301301302302302302302302302302302302302302302302301302302301301300300300300300299298298299299299299299299299299299299299299299299299299299300300300299299298299300300300300301301301301302301299299300301301301301300301301301300301301301301301301301301301302302302302302302303303303303302302302302302302302303303303303304304304303303303303303303303303303304304304304304304304304305305304304305304305305305305305305305306305305306306306306307306307307307307308308308308308308308308308308308308308308309309308308309309308308308308308309309309309309308309309309308308308308308308308307307307306306306306306306305305305305305305305305305305305304304304304303302302302303303303303303302302302302302302302302301301301301301301300301300299300299299298298298298298298298297297297297298298298298298297297297297297297296296296296296296296296297296296296296296296 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289290290291292292290289288288288287286286286285286285285285282281280279278278277277277278279278277277278279280281282283284284284284284284284284283283285284283999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282282283284284285285286286287288288288288288288288290292293289289287999999293292291291290289289289289289289289289289289289289290290290290290289288288287286285283282281281279278277276275274273273272271270270271272273273273272273273273272272272271271271271271271272272272272272273273274275277278281282281999999284284283282282283283283283282282282282281281282282281282282282283284285286288288289289289290292293294294294295295296296297298298299300300300300300299300299299299299299299299299299299299298298297297297296296296296295295296296297297297298298298298298299299298299299299299299299299299299299299299300300300300300300299300300299299299299300300299300299300300300299299299299299299299299298298298298298298298298298297297297298297297297297297297297296296296296297296296296296296297297297297296296297297297297297297296297297296296296297297297297297297298297297298298298298298298298299299299299299299300300300300299299299299299299300300300300300300300300300300300300300300300301301301301301301301301301301302301301301302301301301302302302302302302302302302302302302302302301301302301301300300300300299299299298298298298299299299298299299299298299299298299299300300299300300299298299300301300301301301301301302301301301300301301301301301301301301301301301301301301301301302302302302302302303303303303303303303302302302303303303303303303303303304304303303303303303303303303303304304304305304304304304305305305305305305305305305305305305305305306305305306306307307307307308308308308309308308309309308309309309309309308309309308308309308309309308308308309309309309309309309310309309309309308308308308308307307307307306306306306305305305306306305305306305305306306305305305304304304304304304304303304304303303303303303303302302302302301301301301301300300299299299298298298298298298298298298298298298298298298298298298298297297297297297297296297297297296296296296296296296296295